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Boost-Commit : |
Subject: [Boost-commit] svn:boost r67390 - in sandbox/tools/auto_index: doc doc/html doc/html/autoindex example/math/doc/sf_and_dist/html example/math/doc/sf_and_dist/html/index example/math/doc/sf_and_dist/html/math_toolkit example/math/doc/sf_and_dist/html/math_toolkit/backgrounders example/math/doc/sf_and_dist/html/math_toolkit/dist example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg example/math/doc/sf_and_dist/html/math_toolkit/main_overview example/math/doc/sf_and_dist/html/math_toolkit/perf example/math/doc/sf_and_dist/html/math_toolkit/policy example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial example/math/doc/sf_and_dist/html/math_toolkit/special example/math/doc/sf_and_dist/html/math_toolkit/special/bessel example/math/doc/sf_and_dist/html/math_toolkit/special/ellint example/math/doc/sf_and_dist/html/math_toolkit/special/expint example/math/doc/sf_and_dist/html/math_toolkit/special/extern_c example/math/doc/sf_and_dist/html/math_toolkit/special/factorials example/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper example/math/doc/sf_and_dist/html/math_toolkit/special/next_float example/math/doc/sf_and_dist/html/math_toolkit/special/powers example/math/doc/sf_and_dist/html/math_toolkit/special/rounding example/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta example/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf example/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma example/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly example/math/doc/sf_and_dist/html/math_toolkit/special/sinc example/math/doc/sf_and_dist/html/math_toolkit/special/zetas example/math/doc/sf_and_dist/html/math_toolkit/status example/math/doc/sf_and_dist/html/math_toolkit/toolkit example/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1 example/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2 example/math/doc/sf_and_dist/html/math_toolkit/using_udt example/type_traits/doc/html example/type_traits/doc/html/boost_typetraits example/type_traits/doc/html/boost_typetraits/category example/type_traits/doc/html/boost_typetraits/category/value_traits example/type_traits/doc/html/boost_typetraits/examples example/type_traits/doc/html/boost_typetraits/reference example/type_traits/doc/html/index src
From: john_at_[hidden]
Date: 2010-12-21 13:43:00
Author: johnmaddock
Date: 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
New Revision: 67390
URL: http://svn.boost.org/trac/boost/changeset/67390
Log:
Refactor to use generic file scanning mechanism, and regenerated some of the example docs.
Text files modified:
sandbox/tools/auto_index/doc/auto_index.qbk | 2
sandbox/tools/auto_index/doc/html/autoindex/script_ref.html | 20
sandbox/tools/auto_index/doc/html/autoindex/tut.html | 14
sandbox/tools/auto_index/doc/html/index.html | 4
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index.html | 474 ++++----
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s10.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s11.html | 36
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s12.html | 57
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s13.html | 8
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s14.html | 80
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders.html | 13
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/implementation.html | 32
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/lanczos.html | 22
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/refs.html | 8
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/relative_error.html | 9
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/remez.html | 18
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist.html | 205 +-
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref.html | 73
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html | 8
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists.html | 67
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/bernoulli_dist.html | 14
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/beta_dist.html | 24
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html | 84
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/cauchy_dist.html | 12
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/chi_squared_dist.html | 16
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/exp_dist.html | 12
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/extreme_dist.html | 10
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/f_dist.html | 12
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/gamma_dist.html | 10
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/logistic_dist.html | 12
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/lognormal_dist.html | 12
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_beta_dist.html | 14
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html | 18
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_f_dist.html | 18
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_t_dist.html | 14
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html | 85
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/normal_dist.html | 10
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html | 15
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/poisson_dist.html | 64
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/rayleigh.html | 14
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/students_t_dist.html | 14
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/triangular_dist.html | 14
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/uniform_dist.html | 12
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull.html | 14
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/nmp.html | 180 +-
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/future.html | 10
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut.html | 128 +-
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/dist_params.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview.html | 33
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/variates.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg.html | 122 +-
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg.html | 19
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_conf.html | 5
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_size_eg.html | 4
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_coinflip_example.html | 263 +--
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html | 501 ++------
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg.html | 15
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html | 6
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_size.html | 5
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_test.html | 4
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html | 334 +---
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/error_eg.html | 144 -
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/f_eg.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg.html | 14
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html | 186 +--
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html | 682 ++++-------
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html | 217 +--
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nag_library.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg.html | 6
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg/nccs_power_eg.html | 2278 +++++++++++++++++++--------------------
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg.html | 20
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/neg_binom_conf.html | 103 -
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html | 83
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html | 653 ++++-------
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html | 16
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example.html | 6
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/normal_example/normal_misc.html | 578 +++------
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg.html | 26
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/paired_st.html | 4
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_intervals.html | 4
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_size.html | 6
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/tut_mean_test.html | 4
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/st_eg/two_sample_students_t.html | 4
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/main_overview.html | 36
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/main_overview/building.html | 8
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/main_overview/compilers_overview.html | 1077 +++++++++---------
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/main_overview/contact.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/main_overview/directories.html | 6
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/main_overview/error_handling.html | 87
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html | 355 ++---
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/main_overview/intro.html | 8
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/main_overview/namespaces.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html | 4
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/main_overview/perf_over.html | 70
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/main_overview/pol_overview.html | 142 +-
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/main_overview/result_type.html | 4
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/main_overview/threads.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/main_overview/tr1.html | 518 +++-----
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/perf.html | 18
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/perf/comp_compilers.html | 4
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/perf/comparisons.html | 34
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/perf/getting_best.html | 4
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/perf/interp.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/perf/perf_over.html | 70
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/perf/perf_test_app.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/perf/tuning.html | 6
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy.html | 66
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_overview.html | 142 +-
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref.html | 22
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/assert_undefined.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/discrete_quant_ref.html | 38
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/error_handling_policies.html | 30
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/internal_promotion.html | 16
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/iteration_pol.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/namespace_pol.html | 14
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/pol_ref_ref.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/policy_defaults.html | 34
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_ref/precision_pol.html | 20
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial.html | 38
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/ad_hoc_dist_policies.html | 10
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/ad_hoc_sf_policies.html | 16
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/changing_policy_defaults.html | 145 -
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/namespace_policies.html | 225 +--
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/policy_tut_defaults.html | 4
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/policy_usage.html | 4
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/understand_dis_quant.html | 67
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/user_def_err_pol.html | 385 ++----
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/policy/pol_tutorial/what_is_a_policy.html | 4
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special.html | 167 +-
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/bessel.html | 20
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html | 27
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel_over.html | 8
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/bessel/mbessel.html | 27
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/bessel/sph_bessel.html | 25
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/ellint.html | 12
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_1.html | 36
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_2.html | 36
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_3.html | 40
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_carlson.html | 58
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/ellint/ellint_intro.html | 64
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/expint.html | 10
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/expint/expint_i.html | 31
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/expint/expint_n.html | 27
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/extern_c.html | 10
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/extern_c/c99.html | 6
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/extern_c/tr1.html | 524 +++-----
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/extern_c/tr1_ref.html | 8
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/factorials.html | 18
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_binomial.html | 19
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_double_factorial.html | 21
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_factorial.html | 23
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_falling_factorial.html | 21
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/factorials/sf_rising_factorial.html | 21
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/fpclass.html | 6
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper.html | 10
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/acosh.html | 19
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/asinh.html | 19
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/atanh.html | 19
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/inv_hyper/inv_hyper_over.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/next_float.html | 12
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_advance.html | 6
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_distance.html | 6
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_next.html | 6
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/next_float/float_prior.html | 6
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/next_float/nextafter.html | 8
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/powers.html | 16
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/powers/cbrt.html | 17
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/powers/ct_pow.html | 27
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/powers/expm1.html | 17
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/powers/hypot.html | 15
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/powers/log1p.html | 17
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/powers/powm1.html | 17
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/powers/sqrt1pm1.html | 17
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/rounding.html | 8
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/rounding/modf.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/rounding/round.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/rounding/trunc.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta.html | 10
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_derivative.html | 21
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/beta_function.html | 25
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_function.html | 31
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_beta/ibeta_inv_function.html | 89 -
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf.html | 7
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_function.html | 28
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_erf/error_inv.html | 23
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma.html | 16
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/digamma.html | 23
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_derivatives.html | 21
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/gamma_ratios.html | 36
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma.html | 33
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/igamma_inv.html | 23
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/lgamma.html | 23
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_gamma/tgamma.html | 34
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly.html | 10
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/hermite.html | 25
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/laguerre.html | 27
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/legendre.html | 29
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sf_poly/sph_harm.html | 25
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sinc.html | 4
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinc_overview.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinc_pi.html | 11
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/sinc/sinhc_pi.html | 11
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/zetas.html | 4
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/special/zetas/zeta.html | 25
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/status.html | 10
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/status/compilers.html | 1077 +++++++++---------
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/status/credits.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/status/history1.html | 355 ++---
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/status/issues.html | 18
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/toolkit.html | 32
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1.html | 18
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/cf.html | 10
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/constants.html | 6
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/minima.html | 8
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/rational.html | 8
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots.html | 26
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/roots2.html | 41
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals1/series_evaluation.html | 10
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2.html | 10
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/error_test.html | 8
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/minimax.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/polynomials.html | 6
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals2/test_data.html | 21
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/toolkit/internals_overview.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/using_udt.html | 12
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/using_udt/archetypes.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/using_udt/concepts.html | 6
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/using_udt/dist_concept.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/using_udt/use_mpfr.html | 2
sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/using_udt/use_ntl.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/background.html | 8
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/category.html | 20
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/category/alignment.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/category/function.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/category/transform.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/category/value_traits.html | 12
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/category/value_traits/primary.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/category/value_traits/properties.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/category/value_traits/relate.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/credits.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/examples.html | 16
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/examples/copy.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/examples/destruct.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/examples/fill.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/examples/iter.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/examples/to_double.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/intrinsics.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/intro.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/mpl.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference.html | 143 +-
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/add_const.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/add_cv.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/add_pointer.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/add_reference.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/add_volatile.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/aligned_storage.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/alignment_of.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/decay.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/extent.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/floating_point_promotion.html | 5
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/function_traits.html | 6
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/has_no_throw_def_cons.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/has_nothrow_assign.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/has_nothrow_constructor.html | 3
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/has_nothrow_copy.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/has_nothrow_cp_cons.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/has_trivial_assign.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/has_trivial_constructor.html | 3
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/has_trivial_copy.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/has_trivial_cp_cons.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/has_trivial_def_cons.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/has_trivial_destructor.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/has_virtual_destructor.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/integral_constant.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/integral_promotion.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_abstract.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_arithmetic.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_array.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_base_of.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_class.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_complex.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_compound.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_const.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_convertible.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_empty.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_enum.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_floating_point.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_function.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_fundamental.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_integral.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_member_function_pointer.html | 3
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_member_object_pointer.html | 3
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_member_pointer.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_object.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_pod.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_pointer.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_polymorphic.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_reference.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_same.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_scalar.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_signed.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_stateless.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_union.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_unsigned.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_void.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/is_volatile.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/make_signed.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/make_unsigned.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/promote.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/rank.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/remove_all_extents.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/remove_const.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/remove_cv.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/remove_extent.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/remove_pointer.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/remove_reference.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/remove_volatile.html | 4
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/reference/type_with_alignment.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/boost_typetraits/user_defined.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/index.html | 191 +-
sandbox/tools/auto_index/example/type_traits/doc/html/index/s10.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/index/s11.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/index/s12.html | 2
sandbox/tools/auto_index/example/type_traits/doc/html/index/s13.html | 2
sandbox/tools/auto_index/src/auto_index.cpp | 1
sandbox/tools/auto_index/src/auto_index.hpp | 31
sandbox/tools/auto_index/src/file_scanning.cpp | 354 ++----
327 files changed, 7297 insertions(+), 9651 deletions(-)
Modified: sandbox/tools/auto_index/doc/auto_index.qbk
==============================================================================
--- sandbox/tools/auto_index/doc/auto_index.qbk (original)
+++ sandbox/tools/auto_index/doc/auto_index.qbk 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -514,7 +514,7 @@
[table
[[Type][Prefix][Suffix]]
-[[class]["class[^;{]+\\<"]["\\>[^;{]+\\{"]]
+[[class]["class\[\^;{\]+\\<"]["\\>\[\^;{\]+\\{"]]
[[function]["\\<\\w+\\>\\s+\\<"]["\\>\\s\*\\(\[^;{\]\*\\)\\s\*\[;{\]"]]
[[typedef]["typedef\[^;\]+\\<"]["\\>\\s\*;"]]
[[macro]["\\<"]["\\>"]]
Modified: sandbox/tools/auto_index/doc/html/autoindex/script_ref.html
==============================================================================
--- sandbox/tools/auto_index/doc/html/autoindex/script_ref.html (original)
+++ sandbox/tools/auto_index/doc/html/autoindex/script_ref.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -23,7 +23,7 @@
The following elements can occur in a script:
</p>
<a name="autoindex.script_ref.comments_and_blank_lines"></a><h5>
-<a name="id1003329"></a>
+<a name="id978207"></a>
<a class="link" href="script_ref.html#autoindex.script_ref.comments_and_blank_lines">Comments and
blank lines</a>
</h5>
@@ -32,7 +32,7 @@
with a '#'.
</p>
<a name="autoindex.script_ref.simple_inclusions"></a><h5>
-<a name="id1003346"></a>
+<a name="id978224"></a>
<a class="link" href="script_ref.html#autoindex.script_ref.simple_inclusions">Simple Inclusions</a>
</h5>
<pre class="programlisting"><span class="identifier">term</span> <span class="special">[</span><span class="identifier">regular</span><span class="special">-</span><span class="identifier">expression1</span> <span class="special">[</span><span class="identifier">regular</span><span class="special">-</span><span class="identifier">expression2</span> <span class="special">[</span><span class="identifier">category</span><span class="special">]]]</span>
@@ -99,7 +99,7 @@
</dl>
</div>
<a name="autoindex.script_ref.source_file_scanning"></a><h5>
-<a name="id1003555"></a>
+<a name="id978433"></a>
<a class="link" href="script_ref.html#autoindex.script_ref.source_file_scanning">Source File Scanning</a>
</h5>
<pre class="programlisting"><span class="special">!</span><span class="identifier">scan</span> <span class="identifier">source</span><span class="special">-</span><span class="identifier">file</span><span class="special">-</span><span class="identifier">name</span>
@@ -128,7 +128,7 @@
</p></td></tr>
</table></div>
<a name="autoindex.script_ref.directory_and_source_file_scanning"></a><h5>
-<a name="id1003633"></a>
+<a name="id978511"></a>
<a class="link" href="script_ref.html#autoindex.script_ref.directory_and_source_file_scanning">Directory
and Source File Scanning</a>
</h5>
@@ -157,7 +157,7 @@
</dl>
</div>
<a name="autoindex.script_ref.excluding_terms"></a><h5>
-<a name="id1003758"></a>
+<a name="id978636"></a>
<a class="link" href="script_ref.html#autoindex.script_ref.excluding_terms">Excluding Terms</a>
</h5>
<pre class="programlisting"><span class="special">!</span><span class="identifier">exclude</span> <span class="identifier">term</span><span class="special">-</span><span class="identifier">list</span>
@@ -170,7 +170,7 @@
of things to index.
</p>
<a name="autoindex.script_ref.rewriting_section_names"></a><h5>
-<a name="id1003813"></a>
+<a name="id978691"></a>
<a class="link" href="script_ref.html#autoindex.script_ref.rewriting_section_names">Rewriting Section
Names</a>
</h5>
@@ -208,7 +208,7 @@
</dl>
</div>
<a name="autoindex.script_ref.changing_the_regular_expressions_used_when_scanning"></a><h5>
-<a name="id1003951"></a>
+<a name="id978829"></a>
<a class="link" href="script_ref.html#autoindex.script_ref.changing_the_regular_expressions_used_when_scanning">Changing
the regular expressions used when scanning</a>
</h5>
@@ -265,12 +265,12 @@
</td>
<td>
<p>
- "class<code class="literal">;{</code>+\<"
+ "class[^;{]+\<"
</p>
</td>
<td>
<p>
- "\><code class="literal">;{</code>+\{"
+ "\>[^;{]+\{"
</p>
</td>
</tr>
@@ -349,7 +349,7 @@
</dl>
</div>
<a name="autoindex.script_ref.debugging"></a><h5>
-<a name="id1004239"></a>
+<a name="id979108"></a>
<a class="link" href="script_ref.html#autoindex.script_ref.debugging">Debugging</a>
</h5>
<p>
Modified: sandbox/tools/auto_index/doc/html/autoindex/tut.html
==============================================================================
--- sandbox/tools/auto_index/doc/html/autoindex/tut.html (original)
+++ sandbox/tools/auto_index/doc/html/autoindex/tut.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -20,7 +20,7 @@
<a name="autoindex.tut"></a><a class="link" href="tut.html" title="Getting Started and Tutorial">Getting Started and Tutorial</a>
</h2></div></div></div>
<a name="autoindex.tut.step_1__build_the_tool"></a><h5>
-<a name="id994380"></a>
+<a name="id969258"></a>
<a class="link" href="tut.html#autoindex.tut.step_1__build_the_tool">Step 1: Build the tool</a>
</h5>
<p>
@@ -62,7 +62,7 @@
is accepted into Boost.
</p>
<a name="autoindex.tut.step_2__configure_boost_build"></a><h5>
-<a name="id994545"></a>
+<a name="id969423"></a>
<a class="link" href="tut.html#autoindex.tut.step_2__configure_boost_build">Step 2: Configure
Boost.Build</a>
</h5>
@@ -155,7 +155,7 @@
</dl>
</div>
<a name="autoindex.tut.step_3__add_indexes_to_your_documentation"></a><h5>
-<a name="id994708"></a>
+<a name="id969586"></a>
<a class="link" href="tut.html#autoindex.tut.step_3__add_indexes_to_your_documentation">Step
3: Add indexes to your documentation</a>
</h5>
@@ -249,7 +249,7 @@
<xsl:param>index.on.type=1
</pre>
<a name="autoindex.tut.step_4__create_the_script_file"></a><h5>
-<a name="id1002762"></a>
+<a name="id977640"></a>
<a class="link" href="tut.html#autoindex.tut.step_4__create_the_script_file">Step 4: Create
the script file</a>
</h5>
@@ -322,7 +322,7 @@
<pre class="programlisting"><span class="special">!</span><span class="identifier">rewrite</span><span class="special">-</span><span class="identifier">name</span> <span class="string">"(?i)(?:A|The)\s+(.*)"</span> <span class="string">"\1"</span>
</pre>
<a name="autoindex.tut.step_5__add_manual_index_entries___optional"></a><h5>
-<a name="id1003020"></a>
+<a name="id977898"></a>
<a class="link" href="tut.html#autoindex.tut.step_5__add_manual_index_entries___optional">Step
5: Add Manual Index Entries - Optional</a>
</h5>
@@ -338,7 +338,7 @@
index itself, with the exception of the "type" attribute.
</p>
<a name="autoindex.tut.step_6__build_the_your_docs"></a><h5>
-<a name="id1003140"></a>
+<a name="id978018"></a>
<a class="link" href="tut.html#autoindex.tut.step_6__build_the_your_docs">Step 6: Build the
Your Docs</a>
</h5>
@@ -365,7 +365,7 @@
If you don't see that, or if it's indexing 0 terms then something is wrong!
</p>
<a name="autoindex.tut.step_7__iterate"></a><h5>
-<a name="id1003250"></a>
+<a name="id978128"></a>
<a class="link" href="tut.html#autoindex.tut.step_7__iterate">Step 7: Iterate</a>
</h5>
<p>
Modified: sandbox/tools/auto_index/doc/html/index.html
==============================================================================
--- sandbox/tools/auto_index/doc/html/index.html (original)
+++ sandbox/tools/auto_index/doc/html/index.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -21,7 +21,7 @@
</h3></div></div></div>
<div><p class="copyright">Copyright © 2008 John Maddock</p></div>
<div><div class="legalnotice">
-<a name="id994092"></a><p>
+<a name="id968970"></a><p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
@@ -40,7 +40,7 @@
</div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
-<td align="left"><p><small>Last revised: December 20, 2010 at 13:16:00 GMT</small></p></td>
+<td align="left"><p><small>Last revised: December 20, 2010 at 18:55:27 GMT</small></p></td>
<td align="right"><div class="copyright-footer"></div></td>
</tr></table>
<hr>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -39,7 +39,7 @@
<div><p class="copyright">Copyright © 2006 , 2007, 2008 John Maddock, Paul A. Bristow, Hubert
Holin, Xiaogang Zhang, Bruno Lalande and Gautam Sewani</p></div>
<div><div class="legalnotice">
-<a name="id968942"></a><p>
+<a name="id970148"></a><p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
</p>
@@ -50,394 +50,391 @@
<div class="toc">
<p><b>Table of Contents</b></p>
<dl>
-<dt><span class="section"> Overview</span></dt>
+<dt><span class="section">Overview</span></dt>
<dd><dl>
-<dt><span class="section"> About the Math Toolkit</span></dt>
-<dt><span class="section"> Navigation</span></dt>
-<dt><span class="section"><a href="math_toolkit/main_overview/directories.html"> Directory and
+<dt><span class="section">About the Math Toolkit</span></dt>
+<dt><span class="section">Navigation</span></dt>
+<dt><span class="section"><a href="math_toolkit/main_overview/directories.html">Directory and
File Structure</a></span></dt>
-<dt><span class="section"> Namespaces</span></dt>
-<dt><span class="section"><a href="math_toolkit/main_overview/result_type.html"> Calculation
- of the Type of the Result</a></span></dt>
-<dt><span class="section"> Error Handling</span></dt>
-<dt><span class="section"> Compilers</span></dt>
-<dt><span class="section"><a href="math_toolkit/main_overview/pol_overview.html"> Configuration
+<dt><span class="section">Namespaces</span></dt>
+<dt><span class="section"><a href="math_toolkit/main_overview/result_type.html">Calculation of
+ the Type of the Result</a></span></dt>
+<dt><span class="section">Error Handling</span></dt>
+<dt><span class="section">Compilers</span></dt>
+<dt><span class="section"><a href="math_toolkit/main_overview/pol_overview.html">Configuration
and Policies</a></span></dt>
-<dt><span class="section"> Thread Safety</span></dt>
-<dt><span class="section"> Performance</span></dt>
-<dt><span class="section"><a href="math_toolkit/main_overview/building.html"> If and How to Build
+<dt><span class="section">Thread Safety</span></dt>
+<dt><span class="section">Performance</span></dt>
+<dt><span class="section"><a href="math_toolkit/main_overview/building.html">If and How to Build
the Library and its Examples and Tests</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/main_overview/history1.html"> History and What's
+<dt><span class="section"><a href="math_toolkit/main_overview/history1.html">History and What's
New</a></span></dt>
-<dt><span class="section"> C99 and TR1 C Functions</span></dt>
-<dt><span class="section"><a href="math_toolkit/main_overview/contact.html"> Contact Info and
+<dt><span class="section">C99 and TR1 C Functions</span></dt>
+<dt><span class="section"><a href="math_toolkit/main_overview/contact.html">Contact Info and
Support</a></span></dt>
</dl></dd>
-<dt><span class="section"> Statistical Distributions and Functions</span></dt>
+<dt><span class="section">Statistical Distributions and Functions</span></dt>
<dd><dl>
-<dt><span class="section"><a href="math_toolkit/dist/stat_tut.html"> Statistical Distributions
+<dt><span class="section"><a href="math_toolkit/dist/stat_tut.html">Statistical Distributions
Tutorial</a></span></dt>
<dd><dl>
-<dt><span class="section"> Overview</span></dt>
-<dt><span class="section"> Worked Examples</span></dt>
+<dt><span class="section">Overview</span></dt>
+<dt><span class="section">Worked Examples</span></dt>
<dd><dl>
-<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/dist_construct_eg.html">
- Distribution Construction Example</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/st_eg.html"> Student's
- t Distribution Examples</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/cs_eg.html"> Chi Squared
+<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/dist_construct_eg.html">Distribution
+ Construction Example</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/st_eg.html">Student's t
Distribution Examples</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/f_eg.html"> F Distribution
+<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/cs_eg.html">Chi Squared
+ Distribution Examples</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/f_eg.html">F Distribution
Examples</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/binom_eg.html"> Binomial
+<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/binom_eg.html">Binomial
Distribution Examples</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/neg_binom_eg.html"> Negative
+<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/neg_binom_eg.html">Negative
Binomial Distribution Examples</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/normal_example.html"> Normal
+<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/normal_example.html">Normal
Distribution Examples</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/nccs_eg.html"> Non Central
+<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/nccs_eg.html">Non Central
Chi Squared Example</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/error_eg.html"> Error Handling
+<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/error_eg.html">Error Handling
Example</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/find_eg.html"> Find Location
+<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/find_eg.html">Find Location
and Scale Examples</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/nag_library.html"> Comparison
+<dt><span class="section"><a href="math_toolkit/dist/stat_tut/weg/nag_library.html">Comparison
with C, R, FORTRAN-style Free Functions</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="math_toolkit/dist/stat_tut/variates.html"> Random Variates
+<dt><span class="section"><a href="math_toolkit/dist/stat_tut/variates.html">Random Variates
and Distribution Parameters</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/stat_tut/dist_params.html"> Discrete Probability
+<dt><span class="section"><a href="math_toolkit/dist/stat_tut/dist_params.html">Discrete Probability
Distributions</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref.html"> Statistical Distributions
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref.html">Statistical Distributions
Reference</a></span></dt>
<dd><dl>
-<dt><span class="section"> Non-Member Properties</span></dt>
-<dt><span class="section"> Distributions</span></dt>
+<dt><span class="section">Non-Member Properties</span></dt>
+<dt><span class="section">Distributions</span></dt>
<dd><dl>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/bernoulli_dist.html">
- Bernoulli Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/beta_dist.html"> Beta
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/bernoulli_dist.html">Bernoulli
Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/binomial_dist.html">
- Binomial Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/cauchy_dist.html"> Cauchy-Lorentz
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/beta_dist.html">Beta
+ Distribution</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/binomial_dist.html">Binomial
Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/chi_squared_dist.html">
- Chi Squared Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/exp_dist.html"> Exponential
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/cauchy_dist.html">Cauchy-Lorentz
Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/extreme_dist.html"> Extreme
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/chi_squared_dist.html">Chi
+ Squared Distribution</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/exp_dist.html">Exponential
+ Distribution</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/extreme_dist.html">Extreme
Value Distribution</a></span></dt>
-<dt><span class="section"> F Distribution</span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/gamma_dist.html"> Gamma
+<dt><span class="section">F Distribution</span></dt>
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/gamma_dist.html">Gamma
(and Erlang) Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/logistic_dist.html">
- Logistic Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/lognormal_dist.html">
- Log Normal Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html">
- Negative Binomial Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/nc_beta_dist.html"> Noncentral
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/logistic_dist.html">Logistic
+ Distribution</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/lognormal_dist.html">Log
+ Normal Distribution</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html">Negative
+ Binomial Distribution</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/nc_beta_dist.html">Noncentral
Beta Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html">
- Noncentral Chi-Squared Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/nc_f_dist.html"> Noncentral
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html">Noncentral
+ Chi-Squared Distribution</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/nc_f_dist.html">Noncentral
F Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/nc_t_dist.html"> Noncentral
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/nc_t_dist.html">Noncentral
T Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/normal_dist.html"> Normal
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/normal_dist.html">Normal
(Gaussian) Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/pareto.html"> Pareto
+<dt><span class="section">Pareto Distribution</span></dt>
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/poisson_dist.html">Poisson
Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/poisson_dist.html"> Poisson
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/rayleigh.html">Rayleigh
Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/rayleigh.html"> Rayleigh
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/students_t_dist.html">Students
+ t Distribution</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/triangular_dist.html">Triangular
Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/students_t_dist.html">
- Students t Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/triangular_dist.html">
- Triangular Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/weibull.html"> Weibull
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/weibull.html">Weibull
Distribution</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/uniform_dist.html"> Uniform
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dists/uniform_dist.html">Uniform
Distribution</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dist_algorithms.html"> Distribution
+<dt><span class="section"><a href="math_toolkit/dist/dist_ref/dist_algorithms.html">Distribution
Algorithms</a></span></dt>
</dl></dd>
-<dt><span class="section"> Extras/Future Directions</span></dt>
+<dt><span class="section">Extras/Future Directions</span></dt>
</dl></dd>
-<dt><span class="section"> Special Functions</span></dt>
+<dt><span class="section">Special Functions</span></dt>
<dd><dl>
-<dt><span class="section"> Gamma Functions</span></dt>
+<dt><span class="section">Gamma Functions</span></dt>
<dd><dl>
-<dt><span class="section"> Gamma</span></dt>
-<dt><span class="section"> Log Gamma</span></dt>
-<dt><span class="section"> Digamma</span></dt>
-<dt><span class="section"><a href="math_toolkit/special/sf_gamma/gamma_ratios.html"> Ratios
+<dt><span class="section">Gamma</span></dt>
+<dt><span class="section">Log Gamma</span></dt>
+<dt><span class="section">Digamma</span></dt>
+<dt><span class="section"><a href="math_toolkit/special/sf_gamma/gamma_ratios.html">Ratios
of Gamma Functions</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/sf_gamma/igamma.html"> Incomplete Gamma
+<dt><span class="section"><a href="math_toolkit/special/sf_gamma/igamma.html">Incomplete Gamma
Functions</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/sf_gamma/igamma_inv.html"> Incomplete
+<dt><span class="section"><a href="math_toolkit/special/sf_gamma/igamma_inv.html">Incomplete
Gamma Function Inverses</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/sf_gamma/gamma_derivatives.html"> Derivative
+<dt><span class="section"><a href="math_toolkit/special/sf_gamma/gamma_derivatives.html">Derivative
of the Incomplete Gamma Function</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="math_toolkit/special/factorials.html"> Factorials and Binomial
+<dt><span class="section"><a href="math_toolkit/special/factorials.html">Factorials and Binomial
Coefficients</a></span></dt>
<dd><dl>
-<dt><span class="section"> Factorial</span></dt>
-<dt><span class="section"><a href="math_toolkit/special/factorials/sf_double_factorial.html">
- Double Factorial</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/factorials/sf_rising_factorial.html">
- Rising Factorial</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/factorials/sf_falling_factorial.html">
- Falling Factorial</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/factorials/sf_binomial.html"> Binomial
+<dt><span class="section">Factorial</span></dt>
+<dt><span class="section"><a href="math_toolkit/special/factorials/sf_double_factorial.html">Double
+ Factorial</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/special/factorials/sf_rising_factorial.html">Rising
+ Factorial</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/special/factorials/sf_falling_factorial.html">Falling
+ Factorial</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/special/factorials/sf_binomial.html">Binomial
Coefficients</a></span></dt>
</dl></dd>
-<dt><span class="section"> Beta Functions</span></dt>
+<dt><span class="section">Beta Functions</span></dt>
<dd><dl>
-<dt><span class="section"> Beta</span></dt>
-<dt><span class="section"><a href="math_toolkit/special/sf_beta/ibeta_function.html"> Incomplete
+<dt><span class="section">Beta</span></dt>
+<dt><span class="section"><a href="math_toolkit/special/sf_beta/ibeta_function.html">Incomplete
Beta Functions</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/sf_beta/ibeta_inv_function.html"> The
+<dt><span class="section"><a href="math_toolkit/special/sf_beta/ibeta_inv_function.html">The
Incomplete Beta Function Inverses</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/sf_beta/beta_derivative.html"> Derivative
+<dt><span class="section"><a href="math_toolkit/special/sf_beta/beta_derivative.html">Derivative
of the Incomplete Beta Function</a></span></dt>
</dl></dd>
-<dt><span class="section"> Error Functions</span></dt>
+<dt><span class="section">Error Functions</span></dt>
<dd><dl>
-<dt><span class="section"><a href="math_toolkit/special/sf_erf/error_function.html"> Error
- Functions</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/sf_erf/error_inv.html"> Error Function
+<dt><span class="section">Error Functions</span></dt>
+<dt><span class="section"><a href="math_toolkit/special/sf_erf/error_inv.html">Error Function
Inverses</a></span></dt>
</dl></dd>
-<dt><span class="section"> Polynomials</span></dt>
+<dt><span class="section">Polynomials</span></dt>
<dd><dl>
-<dt><span class="section"><a href="math_toolkit/special/sf_poly/legendre.html"> Legendre (and
+<dt><span class="section"><a href="math_toolkit/special/sf_poly/legendre.html">Legendre (and
Associated) Polynomials</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/sf_poly/laguerre.html"> Laguerre (and
+<dt><span class="section"><a href="math_toolkit/special/sf_poly/laguerre.html">Laguerre (and
Associated) Polynomials</a></span></dt>
-<dt><span class="section"> Hermite Polynomials</span></dt>
-<dt><span class="section"> Spherical Harmonics</span></dt>
+<dt><span class="section">Hermite Polynomials</span></dt>
+<dt><span class="section">Spherical Harmonics</span></dt>
</dl></dd>
-<dt><span class="section"> Bessel Functions</span></dt>
+<dt><span class="section">Bessel Functions</span></dt>
<dd><dl>
-<dt><span class="section"><a href="math_toolkit/special/bessel/bessel_over.html"> Bessel Function
+<dt><span class="section"><a href="math_toolkit/special/bessel/bessel_over.html">Bessel Function
Overview</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/bessel/bessel.html"> Bessel Functions
+<dt><span class="section"><a href="math_toolkit/special/bessel/bessel.html">Bessel Functions
of the First and Second Kinds</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/bessel/mbessel.html"> Modified Bessel
+<dt><span class="section"><a href="math_toolkit/special/bessel/mbessel.html">Modified Bessel
+ Functions of the First and Second Kinds</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/special/bessel/sph_bessel.html">Spherical Bessel
Functions of the First and Second Kinds</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/bessel/sph_bessel.html"> Spherical
- Bessel Functions of the First and Second Kinds</a></span></dt>
</dl></dd>
-<dt><span class="section"> Elliptic Integrals</span></dt>
+<dt><span class="section">Elliptic Integrals</span></dt>
<dd><dl>
-<dt><span class="section"><a href="math_toolkit/special/ellint/ellint_intro.html"> Elliptic
+<dt><span class="section"><a href="math_toolkit/special/ellint/ellint_intro.html">Elliptic
Integral Overview</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/ellint/ellint_carlson.html"> Elliptic
+<dt><span class="section"><a href="math_toolkit/special/ellint/ellint_carlson.html">Elliptic
Integrals - Carlson Form</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/ellint/ellint_1.html"> Elliptic Integrals
+<dt><span class="section"><a href="math_toolkit/special/ellint/ellint_1.html">Elliptic Integrals
of the First Kind - Legendre Form</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/ellint/ellint_2.html"> Elliptic Integrals
+<dt><span class="section"><a href="math_toolkit/special/ellint/ellint_2.html">Elliptic Integrals
of the Second Kind - Legendre Form</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/ellint/ellint_3.html"> Elliptic Integrals
+<dt><span class="section"><a href="math_toolkit/special/ellint/ellint_3.html">Elliptic Integrals
of the Third Kind - Legendre Form</a></span></dt>
</dl></dd>
-<dt><span class="section"> Zeta Functions</span></dt>
-<dd><dl><dt><span class="section"> Riemann Zeta Function</span></dt></dl></dd>
-<dt><span class="section"> Exponential Integrals</span></dt>
-<dd><dl>
-<dt><span class="section"><a href="math_toolkit/special/expint/expint_n.html"> Exponential
- Integral En</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/expint/expint_i.html"> Exponential
- Integral Ei</a></span></dt>
+<dt><span class="section">Zeta Functions</span></dt>
+<dd><dl><dt><span class="section">Riemann Zeta Function</span></dt></dl></dd>
+<dt><span class="section">Exponential Integrals</span></dt>
+<dd><dl>
+<dt><span class="section"><a href="math_toolkit/special/expint/expint_n.html">Exponential Integral
+ En</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/special/expint/expint_i.html">Exponential Integral
+ Ei</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="math_toolkit/special/powers.html"> Logs, Powers, Roots and
+<dt><span class="section"><a href="math_toolkit/special/powers.html">Logs, Powers, Roots and
Exponentials</a></span></dt>
<dd><dl>
-<dt><span class="section"> log1p</span></dt>
-<dt><span class="section"> expm1</span></dt>
-<dt><span class="section"> cbrt</span></dt>
-<dt><span class="section"> sqrt1pm1</span></dt>
-<dt><span class="section"> powm1</span></dt>
-<dt><span class="section"> hypot</span></dt>
-<dt><span class="section"><a href="math_toolkit/special/powers/ct_pow.html"> Compile Time Power
+<dt><span class="section">log1p</span></dt>
+<dt><span class="section">expm1</span></dt>
+<dt><span class="section">cbrt</span></dt>
+<dt><span class="section">sqrt1pm1</span></dt>
+<dt><span class="section">powm1</span></dt>
+<dt><span class="section">hypot</span></dt>
+<dt><span class="section"><a href="math_toolkit/special/powers/ct_pow.html">Compile Time Power
of a Runtime Base</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="math_toolkit/special/sinc.html"> Sinus Cardinal and Hyperbolic
+<dt><span class="section"><a href="math_toolkit/special/sinc.html">Sinus Cardinal and Hyperbolic
Sinus Cardinal Functions</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="math_toolkit/special/sinc/sinc_overview.html"> Sinus Cardinal
+<dt><span class="section"><a href="math_toolkit/special/sinc/sinc_overview.html">Sinus Cardinal
and Hyperbolic Sinus Cardinal Functions Overview</a></span></dt>
<dt><span class="section">sinc_pi</span></dt>
<dt><span class="section">sinhc_pi</span></dt>
</dl></dd>
-<dt><span class="section"> Inverse Hyperbolic Functions</span></dt>
+<dt><span class="section">Inverse Hyperbolic Functions</span></dt>
<dd><dl>
-<dt><span class="section"><a href="math_toolkit/special/inv_hyper/inv_hyper_over.html"> Inverse
+<dt><span class="section"><a href="math_toolkit/special/inv_hyper/inv_hyper_over.html">Inverse
Hyperbolic Functions Overview</a></span></dt>
-<dt><span class="section"> acosh</span></dt>
-<dt><span class="section"> asinh</span></dt>
-<dt><span class="section"> atanh</span></dt>
+<dt><span class="section">acosh</span></dt>
+<dt><span class="section">asinh</span></dt>
+<dt><span class="section">atanh</span></dt>
</dl></dd>
-<dt><span class="section"><a href="math_toolkit/special/rounding.html"> Rounding Truncation and
+<dt><span class="section"><a href="math_toolkit/special/rounding.html">Rounding Truncation and
Integer Conversion</a></span></dt>
<dd><dl>
-<dt><span class="section"> Rounding Functions</span></dt>
-<dt><span class="section"> Truncation Functions</span></dt>
-<dt><span class="section"><a href="math_toolkit/special/rounding/modf.html"> Integer and Fractional
+<dt><span class="section">Rounding Functions</span></dt>
+<dt><span class="section">Truncation Functions</span></dt>
+<dt><span class="section"><a href="math_toolkit/special/rounding/modf.html">Integer and Fractional
Part Splitting (modf)</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="math_toolkit/special/fpclass.html"> Floating-Point Classification:
+<dt><span class="section"><a href="math_toolkit/special/fpclass.html">Floating-Point Classification:
Infinities and NaN's</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/next_float.html"> Floating-Point Representation
+<dt><span class="section"><a href="math_toolkit/special/next_float.html">Floating-Point Representation
Distance (ULP), and Finding Adjacent Floating-Point Values</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="math_toolkit/special/next_float/nextafter.html"> Finding
+<dt><span class="section"><a href="math_toolkit/special/next_float/nextafter.html">Finding
the Next Representable Value in a Specific Direction (nextafter)</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/next_float/float_next.html"> Finding
+<dt><span class="section"><a href="math_toolkit/special/next_float/float_next.html">Finding
the Next Greater Representable Value (float_next)</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/next_float/float_prior.html"> Finding
+<dt><span class="section"><a href="math_toolkit/special/next_float/float_prior.html">Finding
the Next Smaller Representable Value (float_prior)</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/next_float/float_distance.html"> Calculating
+<dt><span class="section"><a href="math_toolkit/special/next_float/float_distance.html">Calculating
the Representation Distance Between Two Floating Point Values (ULP) float_distance</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/special/next_float/float_advance.html"> Advancing
+<dt><span class="section"><a href="math_toolkit/special/next_float/float_advance.html">Advancing
a Floating Point Value by a Specific Representation Distance (ULP) float_advance</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="math_toolkit/special/extern_c.html"> TR1 and C99 external
- "C" Functions</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/special/extern_c.html">TR1 and C99 external "C"
+ Functions</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="math_toolkit/special/extern_c/tr1.html"> C99 and TR1 C Functions
+<dt><span class="section"><a href="math_toolkit/special/extern_c/tr1.html">C99 and TR1 C Functions
Overview</a></span></dt>
-<dt><span class="section"> C99 C Functions</span></dt>
-<dt><span class="section"><a href="math_toolkit/special/extern_c/tr1_ref.html"> TR1 C Functions
+<dt><span class="section">C99 C Functions</span></dt>
+<dt><span class="section"><a href="math_toolkit/special/extern_c/tr1_ref.html">TR1 C Functions
Quick Reference</a></span></dt>
</dl></dd>
</dl></dd>
-<dt><span class="section"> Internal Details and Tools (Experimental)</span></dt>
+<dt><span class="section">Internal Details and Tools (Experimental)</span></dt>
<dd><dl>
-<dt><span class="section"> Overview</span></dt>
-<dt><span class="section"> Reused Utilities</span></dt>
+<dt><span class="section">Overview</span></dt>
+<dt><span class="section">Reused Utilities</span></dt>
<dd><dl>
-<dt><span class="section"><a href="math_toolkit/toolkit/internals1/constants.html"> Numeric
+<dt><span class="section"><a href="math_toolkit/toolkit/internals1/constants.html">Numeric
Constants</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/toolkit/internals1/series_evaluation.html">
- Series Evaluation</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/toolkit/internals1/cf.html"> Continued Fraction
+<dt><span class="section"><a href="math_toolkit/toolkit/internals1/series_evaluation.html">Series
+ Evaluation</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/toolkit/internals1/cf.html">Continued Fraction
Evaluation</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/toolkit/internals1/rational.html"> Polynomial
+<dt><span class="section"><a href="math_toolkit/toolkit/internals1/rational.html">Polynomial
and Rational Function Evaluation</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/toolkit/internals1/roots.html"> Root Finding
+<dt><span class="section"><a href="math_toolkit/toolkit/internals1/roots.html">Root Finding
With Derivatives</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/toolkit/internals1/roots2.html"> Root Finding
+<dt><span class="section"><a href="math_toolkit/toolkit/internals1/roots2.html">Root Finding
Without Derivatives</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/toolkit/internals1/minima.html"> Locating Function
+<dt><span class="section"><a href="math_toolkit/toolkit/internals1/minima.html">Locating Function
Minima</a></span></dt>
</dl></dd>
-<dt><span class="section"> Testing and Development</span></dt>
+<dt><span class="section">Testing and Development</span></dt>
<dd><dl>
-<dt><span class="section"> Polynomials</span></dt>
-<dt><span class="section"><a href="math_toolkit/toolkit/internals2/minimax.html"> Minimax Approximations
+<dt><span class="section">Polynomials</span></dt>
+<dt><span class="section"><a href="math_toolkit/toolkit/internals2/minimax.html">Minimax Approximations
and the Remez Algorithm</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/toolkit/internals2/error_test.html"> Relative
+<dt><span class="section"><a href="math_toolkit/toolkit/internals2/error_test.html">Relative
Error and Testing</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/toolkit/internals2/test_data.html"> Graphing,
+<dt><span class="section"><a href="math_toolkit/toolkit/internals2/test_data.html">Graphing,
Profiling, and Generating Test Data for Special Functions</a></span></dt>
</dl></dd>
</dl></dd>
-<dt><span class="section"><a href="math_toolkit/using_udt.html"> Use with User-Defined Floating-Point
+<dt><span class="section"><a href="math_toolkit/using_udt.html">Use with User-Defined Floating-Point
Types</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="math_toolkit/using_udt/use_ntl.html"> Using With NTL - a High-Precision
+<dt><span class="section"><a href="math_toolkit/using_udt/use_ntl.html">Using With NTL - a High-Precision
Floating-Point Library</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/using_udt/use_mpfr.html"> Using With MPFR / GMP
+<dt><span class="section"><a href="math_toolkit/using_udt/use_mpfr.html">Using With MPFR / GMP
- a High-Precision Floating-Point Library</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/using_udt/concepts.html"> Conceptual Requirements
+<dt><span class="section"><a href="math_toolkit/using_udt/concepts.html">Conceptual Requirements
for Real Number Types</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/using_udt/dist_concept.html"> Conceptual Requirements
+<dt><span class="section"><a href="math_toolkit/using_udt/dist_concept.html">Conceptual Requirements
for Distribution Types</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/using_udt/archetypes.html"> Conceptual Archetypes
+<dt><span class="section"><a href="math_toolkit/using_udt/archetypes.html">Conceptual Archetypes
and Testing</a></span></dt>
</dl></dd>
-<dt><span class="section"> Policies</span></dt>
+<dt><span class="section">Policies</span></dt>
<dd><dl>
-<dt><span class="section"> Policy Overview</span></dt>
-<dt><span class="section"> Policy Tutorial</span></dt>
+<dt><span class="section">Policy Overview</span></dt>
+<dt><span class="section">Policy Tutorial</span></dt>
<dd><dl>
-<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/what_is_a_policy.html">
- So Just What is a Policy Anyway?</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/policy_tut_defaults.html">
- Policies Have Sensible Defaults</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/policy_usage.html"> So
- How are Policies Used Anyway?</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/changing_policy_defaults.html">
- Changing the Policy Defaults</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/ad_hoc_dist_policies.html">
- Setting Policies for Distributions on an Ad Hoc Basis</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/ad_hoc_sf_policies.html">
- Changing the Policy on an Ad Hoc Basis for the Special Functions</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/namespace_policies.html">
- Setting Policies at Namespace or Translation Unit Scope</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/user_def_err_pol.html">
- Calling User Defined Error Handlers</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/understand_dis_quant.html">
- Understanding Quantiles of Discrete Distributions</a></span></dt>
-</dl></dd>
-<dt><span class="section"> Policy Reference</span></dt>
-<dd><dl>
-<dt><span class="section"><a href="math_toolkit/policy/pol_ref/error_handling_policies.html">
- Error Handling Policies</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/policy/pol_ref/internal_promotion.html"> Internal
+<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/what_is_a_policy.html">So
+ Just What is a Policy Anyway?</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/policy_tut_defaults.html">Policies
+ Have Sensible Defaults</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/policy_usage.html">So How
+ are Policies Used Anyway?</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/changing_policy_defaults.html">Changing
+ the Policy Defaults</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/ad_hoc_dist_policies.html">Setting
+ Policies for Distributions on an Ad Hoc Basis</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/ad_hoc_sf_policies.html">Changing
+ the Policy on an Ad Hoc Basis for the Special Functions</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/namespace_policies.html">Setting
+ Policies at Namespace or Translation Unit Scope</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/user_def_err_pol.html">Calling
+ User Defined Error Handlers</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/policy/pol_tutorial/understand_dis_quant.html">Understanding
+ Quantiles of Discrete Distributions</a></span></dt>
+</dl></dd>
+<dt><span class="section">Policy Reference</span></dt>
+<dd><dl>
+<dt><span class="section"><a href="math_toolkit/policy/pol_ref/error_handling_policies.html">Error
+ Handling Policies</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/policy/pol_ref/internal_promotion.html">Internal
Promotion Policies</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/policy/pol_ref/assert_undefined.html"> Mathematically
+<dt><span class="section"><a href="math_toolkit/policy/pol_ref/assert_undefined.html">Mathematically
Undefined Function Policies</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/policy/pol_ref/discrete_quant_ref.html"> Discrete
+<dt><span class="section"><a href="math_toolkit/policy/pol_ref/discrete_quant_ref.html">Discrete
Quantile Policies</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/policy/pol_ref/precision_pol.html"> Precision
+<dt><span class="section"><a href="math_toolkit/policy/pol_ref/precision_pol.html">Precision
Policies</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/policy/pol_ref/iteration_pol.html"> Iteration
+<dt><span class="section"><a href="math_toolkit/policy/pol_ref/iteration_pol.html">Iteration
Limits Policies</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/policy/pol_ref/policy_defaults.html"> Using
+<dt><span class="section"><a href="math_toolkit/policy/pol_ref/policy_defaults.html">Using
macros to Change the Policy Defaults</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/policy/pol_ref/namespace_pol.html"> Setting
+<dt><span class="section"><a href="math_toolkit/policy/pol_ref/namespace_pol.html">Setting
Polices at Namespace Scope</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/policy/pol_ref/pol_ref_ref.html"> Policy Class
+<dt><span class="section"><a href="math_toolkit/policy/pol_ref/pol_ref_ref.html">Policy Class
Reference</a></span></dt>
</dl></dd>
</dl></dd>
-<dt><span class="section"> Performance</span></dt>
+<dt><span class="section">Performance</span></dt>
<dd><dl>
-<dt><span class="section"> Performance Overview</span></dt>
-<dt><span class="section"> Interpreting these Results</span></dt>
-<dt><span class="section"><a href="math_toolkit/perf/getting_best.html"> Getting the Best Performance
+<dt><span class="section">Performance Overview</span></dt>
+<dt><span class="section">Interpreting these Results</span></dt>
+<dt><span class="section"><a href="math_toolkit/perf/getting_best.html">Getting the Best Performance
from this Library</a></span></dt>
-<dt><span class="section"> Comparing Compilers</span></dt>
-<dt><span class="section"> Performance Tuning Macros</span></dt>
-<dt><span class="section"><a href="math_toolkit/perf/comparisons.html"> Comparisons to Other
- Open Source Libraries</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/perf/perf_test_app.html"> The Performance Test
+<dt><span class="section">Comparing Compilers</span></dt>
+<dt><span class="section">Performance Tuning Macros</span></dt>
+<dt><span class="section"><a href="math_toolkit/perf/comparisons.html">Comparisons to Other Open
+ Source Libraries</a></span></dt>
+<dt><span class="section"><a href="math_toolkit/perf/perf_test_app.html">The Performance Test
Application</a></span></dt>
</dl></dd>
-<dt><span class="section"> Backgrounders</span></dt>
+<dt><span class="section">Backgrounders</span></dt>
<dd><dl>
-<dt><span class="section"><a href="math_toolkit/backgrounders/implementation.html"> Additional
+<dt><span class="section"><a href="math_toolkit/backgrounders/implementation.html">Additional
Implementation Notes</a></span></dt>
-<dt><span class="section"><a href="math_toolkit/backgrounders/relative_error.html"> Relative
- Error</a></span></dt>
-<dt><span class="section"> The Lanczos Approximation</span></dt>
-<dt><span class="section"> The Remez Method</span></dt>
-<dt><span class="section"> References</span></dt>
-</dl></dd>
-<dt><span class="section"> Library Status</span></dt>
-<dd><dl>
-<dt><span class="section"> History and What's New</span></dt>
-<dt><span class="section"> Compilers</span></dt>
-<dt><span class="section"> Known Issues, and Todo List</span></dt>
-<dt><span class="section"> Credits and Acknowledgements</span></dt>
+<dt><span class="section">Relative Error</span></dt>
+<dt><span class="section">The Lanczos Approximation</span></dt>
+<dt><span class="section">The Remez Method</span></dt>
+<dt><span class="section">References</span></dt>
+</dl></dd>
+<dt><span class="section">Library Status</span></dt>
+<dd><dl>
+<dt><span class="section">History and What's New</span></dt>
+<dt><span class="section">Compilers</span></dt>
+<dt><span class="section">Known Issues, and Todo List</span></dt>
+<dt><span class="section">Credits and Acknowledgements</span></dt>
</dl></dd>
<dt><span class="section">Class Index</span></dt>
<dt><span class="section">Typedef Index</span></dt>
@@ -447,15 +444,12 @@
</dl>
</div>
<p>
- ISBN 0-9504833-2-X 978-0-9504833-2-0, Classification 519.2-dc22
- </p>
-<p>
This manual is also available in <a href="http://svn.boost.org/svn/boost/sandbox/pdf/math/release/math.pdf" target="_top">printer
friendly PDF format</a>.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
-<td align="left"><p><small>Last revised: December 19, 2010 at 18:06:46 GMT</small></p></td>
+<td align="left"><p><small>Last revised: December 21, 2010 at 18:22:46 GMT</small></p></td>
<td align="right"><div class="copyright-footer"></div></td>
</tr></table>
<hr>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s10.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s10.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s10.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1365234"></a>Class Index</h2></div></div></div>
+<a name="id1365162"></a>Class Index</h2></div></div></div>
<p><a class="link" href="s10.html#idx_id_0">B</a> <a class="link" href="s10.html#idx_id_1">C</a> <a class="link" href="s10.html#idx_id_2">E</a> <a class="link" href="s10.html#idx_id_3">F</a> <a class="link" href="s10.html#idx_id_4">G</a> <a class="link" href="s10.html#idx_id_5">L</a> <a class="link" href="s10.html#idx_id_6">N</a> <a class="link" href="s10.html#idx_id_7">P</a> <a class="link" href="s10.html#idx_id_8">R</a> <a class="link" href="s10.html#idx_id_9">S</a> <a class="link" href="s10.html#idx_id_10">T</a> <a class="link" href="s10.html#idx_id_11">U</a> <a class="link" href="s10.html#idx_id_12">W</a> </p>
<div class="variablelist"><dl>
<dt>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s11.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s11.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s11.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,8 +17,8 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1365729"></a>Typedef Index</h2></div></div></div>
-<p><a class="link" href="s11.html#idx_id_13">A</a> <a class="link" href="s11.html#idx_id_14">B</a> <a class="link" href="s11.html#idx_id_15">D</a> <a class="link" href="s11.html#idx_id_16">E</a> <a class="link" href="s11.html#idx_id_17">F</a> <a class="link" href="s11.html#idx_id_18">I</a> <a class="link" href="s11.html#idx_id_19">N</a> <a class="link" href="s11.html#idx_id_20">O</a> <a class="link" href="s11.html#idx_id_21">P</a> <a class="link" href="s11.html#idx_id_22">R</a> <a class="link" href="s11.html#idx_id_23">U</a> <a class="link" href="s11.html#idx_id_24">V</a> </p>
+<a name="id1365658"></a>Typedef Index</h2></div></div></div>
+<p><a class="link" href="s11.html#idx_id_13">A</a> <a class="link" href="s11.html#idx_id_14">D</a> <a class="link" href="s11.html#idx_id_15">E</a> <a class="link" href="s11.html#idx_id_16">F</a> <a class="link" href="s11.html#idx_id_17">I</a> <a class="link" href="s11.html#idx_id_18">O</a> <a class="link" href="s11.html#idx_id_19">P</a> <a class="link" href="s11.html#idx_id_20">R</a> <a class="link" href="s11.html#idx_id_21">U</a> <a class="link" href="s11.html#idx_id_22">V</a> </p>
<div class="variablelist"><dl>
<dt>
<a name="idx_id_13"></a><span class="term">A</span>
@@ -28,14 +28,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">Policy Class Reference</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_14"></a><span class="term">B</span>
-</dt>
-<dd><div class="variablelist"><dl>
-<dt><span class="term">beta</span></dt>
-<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Example">Distribution Construction Example</a></p></td></tr></table></dd>
-</dl></div></dd>
-<dt>
-<a name="idx_id_15"></a><span class="term">D</span>
+<a name="idx_id_14"></a><span class="term">D</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">denorm_error_type</span></dt>
@@ -52,14 +45,14 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_16"></a><span class="term">E</span>
+<a name="idx_id_15"></a><span class="term">E</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">evaluation_error_type</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">Policy Class Reference</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_17"></a><span class="term">F</span>
+<a name="idx_id_16"></a><span class="term">F</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">float_t</span></dt>
@@ -70,28 +63,21 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_18"></a><span class="term">I</span>
+<a name="idx_id_17"></a><span class="term">I</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">indeterminate_result_error_type</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">Policy Class Reference</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_19"></a><span class="term">N</span>
-</dt>
-<dd><div class="variablelist"><dl>
-<dt><span class="term">negative_binomial</span></dt>
-<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Example">Distribution Construction Example</a></p></td></tr></table></dd>
-</dl></div></dd>
-<dt>
-<a name="idx_id_20"></a><span class="term">O</span>
+<a name="idx_id_18"></a><span class="term">O</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">overflow_error_type</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">Policy Class Reference</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_21"></a><span class="term">P</span>
+<a name="idx_id_19"></a><span class="term">P</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">pole_error_type</span></dt>
@@ -127,21 +113,21 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">Policy Class Reference</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_22"></a><span class="term">R</span>
+<a name="idx_id_20"></a><span class="term">R</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">rounding_error_type</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">Policy Class Reference</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_23"></a><span class="term">U</span>
+<a name="idx_id_21"></a><span class="term">U</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">underflow_error_type</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">Policy Class Reference</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_24"></a><span class="term">V</span>
+<a name="idx_id_22"></a><span class="term">V</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">value_type</span></dt>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s12.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s12.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s12.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,11 +17,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1366416"></a>Function Index</h2></div></div></div>
-<p><a class="link" href="s12.html#idx_id_25">A</a> <a class="link" href="s12.html#idx_id_26">B</a> <a class="link" href="s12.html#idx_id_27">C</a> <a class="link" href="s12.html#idx_id_28">D</a> <a class="link" href="s12.html#idx_id_29">E</a> <a class="link" href="s12.html#idx_id_30">F</a> <a class="link" href="s12.html#idx_id_31">G</a> <a class="link" href="s12.html#idx_id_32">H</a> <a class="link" href="s12.html#idx_id_33">I</a> <a class="link" href="s12.html#idx_id_34">L</a> <a class="link" href="s12.html#idx_id_35">M</a> <a class="link" href="s12.html#idx_id_36">N</a> <a class="link" href="s12.html#idx_id_37">P</a> <a class="link" href="s12.html#idx_id_38">Q</a> <a class="link" href="s12.html#idx_id_39">R</a> <a class="link" href="s12.html#idx_id_40">S</a> <a class="link" href="s12.html#idx_id_41">T</a> <a class="link" href="s12.html#idx_id_42">U</a> <a class="link" href="s12.html#idx_id_43">Z</a> </p>
+<a name="id1366294"></a>Function Index</h2></div></div></div>
+<p><a class="link" href="s12.html#idx_id_23">A</a> <a class="link" href="s12.html#idx_id_24">B</a> <a class="link" href="s12.html#idx_id_25">C</a> <a class="link" href="s12.html#idx_id_26">D</a> <a class="link" href="s12.html#idx_id_27">E</a> <a class="link" href="s12.html#idx_id_28">F</a> <a class="link" href="s12.html#idx_id_29">G</a> <a class="link" href="s12.html#idx_id_30">H</a> <a class="link" href="s12.html#idx_id_31">I</a> <a class="link" href="s12.html#idx_id_32">L</a> <a class="link" href="s12.html#idx_id_33">M</a> <a class="link" href="s12.html#idx_id_34">N</a> <a class="link" href="s12.html#idx_id_35">P</a> <a class="link" href="s12.html#idx_id_36">R</a> <a class="link" href="s12.html#idx_id_37">S</a> <a class="link" href="s12.html#idx_id_38">T</a> <a class="link" href="s12.html#idx_id_39">U</a> <a class="link" href="s12.html#idx_id_40">Z</a> </p>
<div class="variablelist"><dl>
<dt>
-<a name="idx_id_25"></a><span class="term">A</span>
+<a name="idx_id_23"></a><span class="term">A</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">acosh</span></dt>
@@ -47,9 +47,17 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_26"></a><span class="term">B</span>
+<a name="idx_id_24"></a><span class="term">B</span>
</dt>
<dd><div class="variablelist"><dl>
+<dt><span class="term">beta</span></dt>
+<dd><table class="simplelist" border="0" summary="Simple list">
+<tr><td><p><a class="link" href="../math_toolkit/special/sf_beta/beta_function.html" title="Beta">Beta</a></p></td></tr>
+<tr><td><p><a class="link" href="../math_toolkit/main_overview/tr1.html" title="C99 and TR1 C Functions">C99 and TR1 C Functions</a></p></td></tr>
+<tr><td><p><a class="link" href="../math_toolkit/special/extern_c/tr1.html" title="C99 and TR1 C Functions Overview">C99 and TR1 C Functions Overview</a></p></td></tr>
+<tr><td><p><a class="link" href="../math_toolkit/special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">Incomplete Beta Functions</a></p></td></tr>
+<tr><td><p><a class="link" href="../math_toolkit/special/extern_c/tr1_ref.html" title="TR1 C Functions Quick Reference">TR1 C Functions Quick Reference</a></p></td></tr>
+</table></dd>
<dt><span class="term">betac</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">Incomplete Beta Functions</a></p></td></tr></table></dd>
<dt><span class="term">betaf</span></dt>
@@ -62,7 +70,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/special/factorials/sf_binomial.html" title="Binomial Coefficients">Binomial Coefficients</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_27"></a><span class="term">C</span>
+<a name="idx_id_25"></a><span class="term">C</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">cbrt</span></dt>
@@ -115,7 +123,7 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_28"></a><span class="term">D</span>
+<a name="idx_id_26"></a><span class="term">D</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">digamma</span></dt>
@@ -124,7 +132,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/special/factorials/sf_double_factorial.html" title="Double Factorial">Double Factorial</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_29"></a><span class="term">E</span>
+<a name="idx_id_27"></a><span class="term">E</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">e</span></dt>
@@ -193,7 +201,7 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_30"></a><span class="term">F</span>
+<a name="idx_id_28"></a><span class="term">F</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">factorial</span></dt>
@@ -230,7 +238,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/special/next_float/float_prior.html" title="Finding the Next Smaller Representable Value (float_prior)">Finding the Next Smaller Representable Value (float_prior)</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_31"></a><span class="term">G</span>
+<a name="idx_id_29"></a><span class="term">G</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">gamma_p</span></dt>
@@ -249,7 +257,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/special/sf_gamma/igamma_inv.html" title="Incomplete Gamma Function Inverses">Incomplete Gamma Function Inverses</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_32"></a><span class="term">H</span>
+<a name="idx_id_30"></a><span class="term">H</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">halley_iterate</span></dt>
@@ -272,7 +280,7 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_33"></a><span class="term">I</span>
+<a name="idx_id_31"></a><span class="term">I</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">ibeta</span></dt>
@@ -297,7 +305,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/special/fpclass.html" title="Floating-Point Classification: Infinities and NaN's">Floating-Point Classification: Infinities and NaN's</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_34"></a><span class="term">L</span>
+<a name="idx_id_32"></a><span class="term">L</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">laguerre</span></dt>
@@ -345,18 +353,16 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_35"></a><span class="term">M</span>
+<a name="idx_id_33"></a><span class="term">M</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">make_policy</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">Policy Class Reference</a></p></td></tr></table></dd>
-<dt><span class="term">mean</span></dt>
-<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html" title="Find Location (Mean) Example">Find Location (Mean) Example</a></p></td></tr></table></dd>
<dt><span class="term">msg</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">Calling User Defined Error Handlers</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_36"></a><span class="term">N</span>
+<a name="idx_id_34"></a><span class="term">N</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">newton_raphson_iterate</span></dt>
@@ -372,21 +378,14 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_tutorial/namespace_policies.html" title="Setting Policies at Namespace or Translation Unit Scope">Setting Policies at Namespace or Translation Unit Scope</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_37"></a><span class="term">P</span>
+<a name="idx_id_35"></a><span class="term">P</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">powm1</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/special/powers/powm1.html" title="powm1">powm1</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_38"></a><span class="term">Q</span>
-</dt>
-<dd><div class="variablelist"><dl>
-<dt><span class="term">quantile</span></dt>
-<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html" title="Negative Binomial Sales Quota Example.">Negative Binomial Sales Quota Example.</a></p></td></tr></table></dd>
-</dl></div></dd>
-<dt>
-<a name="idx_id_39"></a><span class="term">R</span>
+<a name="idx_id_36"></a><span class="term">R</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">relative_error</span></dt>
@@ -401,7 +400,7 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_40"></a><span class="term">S</span>
+<a name="idx_id_37"></a><span class="term">S</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">schroeder_iterate</span></dt>
@@ -432,7 +431,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/special/powers/sqrt1pm1.html" title="sqrt1pm1">sqrt1pm1</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_41"></a><span class="term">T</span>
+<a name="idx_id_38"></a><span class="term">T</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">tgamma</span></dt>
@@ -463,14 +462,14 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_42"></a><span class="term">U</span>
+<a name="idx_id_39"></a><span class="term">U</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">user_domain_error</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">Calling User Defined Error Handlers</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_43"></a><span class="term">Z</span>
+<a name="idx_id_40"></a><span class="term">Z</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">zeta</span></dt>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s13.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s13.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s13.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,11 +17,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1368682"></a>Macro Index</h2></div></div></div>
-<p><a class="link" href="s13.html#idx_id_44">B</a> <a class="link" href="s13.html#idx_id_45">F</a> </p>
+<a name="id1370351"></a>Macro Index</h2></div></div></div>
+<p><a class="link" href="s13.html#idx_id_41">B</a> <a class="link" href="s13.html#idx_id_42">F</a> </p>
<div class="variablelist"><dl>
<dt>
-<a name="idx_id_44"></a><span class="term">B</span>
+<a name="idx_id_41"></a><span class="term">B</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">BOOST_DEFINE_MATH_CONSTANT</span></dt>
@@ -108,7 +108,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using macros to Change the Policy Defaults">Using macros to Change the Policy Defaults</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_45"></a><span class="term">F</span>
+<a name="idx_id_42"></a><span class="term">F</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">FP_INFINITE</span></dt>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s14.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s14.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/index/s14.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -16,11 +16,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1371935"></a>Index</h2></div></div></div>
-<p><a class="link" href="s14.html#idx_id_46">A</a> <a class="link" href="s14.html#idx_id_47">B</a> <a class="link" href="s14.html#idx_id_48">C</a> <a class="link" href="s14.html#idx_id_49">D</a> <a class="link" href="s14.html#idx_id_50">E</a> <a class="link" href="s14.html#idx_id_51">F</a> <a class="link" href="s14.html#idx_id_52">G</a> <a class="link" href="s14.html#idx_id_53">H</a> <a class="link" href="s14.html#idx_id_54">I</a> <a class="link" href="s14.html#idx_id_55">K</a> <a class="link" href="s14.html#idx_id_56">L</a> <a class="link" href="s14.html#idx_id_57">M</a> <a class="link" href="s14.html#idx_id_58">N</a> <a class="link" href="s14.html#idx_id_59">O</a> <a class="link" href="s14.html#idx_id_60">P</a> <a class="link" href="s14.html#idx_id_61">Q</a> <a class="link" href="s14.html#idx_id_62">R</a> <a class="link" href="s14.html#idx_id_63">S</a> <a class="link" href="s14.html#idx_id_64">T</a> <a class="link" href="s14.html#idx_id_65">U</a> <a class="link" href="s14.html#idx_id_66">V</a> <a class="l
ink" href="s14.html#idx_id_67">W</a> <a class="link" href="s14.html#idx_id_68">Z</a> </p>
+<a name="id1370873"></a>Index</h2></div></div></div>
+<p><a class="link" href="s14.html#idx_id_43">A</a> <a class="link" href="s14.html#idx_id_44">B</a> <a class="link" href="s14.html#idx_id_45">C</a> <a class="link" href="s14.html#idx_id_46">D</a> <a class="link" href="s14.html#idx_id_47">E</a> <a class="link" href="s14.html#idx_id_48">F</a> <a class="link" href="s14.html#idx_id_49">G</a> <a class="link" href="s14.html#idx_id_50">H</a> <a class="link" href="s14.html#idx_id_51">I</a> <a class="link" href="s14.html#idx_id_52">K</a> <a class="link" href="s14.html#idx_id_53">L</a> <a class="link" href="s14.html#idx_id_54">M</a> <a class="link" href="s14.html#idx_id_55">N</a> <a class="link" href="s14.html#idx_id_56">O</a> <a class="link" href="s14.html#idx_id_57">P</a> <a class="link" href="s14.html#idx_id_58">R</a> <a class="link" href="s14.html#idx_id_59">S</a> <a class="link" href="s14.html#idx_id_60">T</a> <a class="link" href="s14.html#idx_id_61">U</a> <a class="link" href="s14.html#idx_id_62">V</a> <a class="link" href="s14.html#idx_id_63">W</a> <a class="l
ink" href="s14.html#idx_id_64">Z</a> </p>
<div class="variablelist"><dl>
<dt>
-<a name="idx_id_46"></a><span class="term">A</span>
+<a name="idx_id_43"></a><span class="term">A</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">acosh</span></dt>
@@ -50,7 +50,7 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_47"></a><span class="term">B</span>
+<a name="idx_id_44"></a><span class="term">B</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">Bernoulli Distribution</span></dt>
@@ -67,9 +67,18 @@
<tr><td><p><a class="link" href="../math_toolkit/special/bessel/bessel.html" title="Bessel Functions of the First and Second Kinds">cyl_neumann</a></p></td></tr>
</table></dd>
<dt><span class="term">Beta</span></dt>
-<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/special/sf_beta/beta_function.html" title="Beta">Lanczos approximation</a></p></td></tr></table></dd>
+<dd><table class="simplelist" border="0" summary="Simple list">
+<tr><td><p><a class="link" href="../math_toolkit/special/sf_beta/beta_function.html" title="Beta">beta</a></p></td></tr>
+<tr><td><p><a class="link" href="../math_toolkit/special/sf_beta/beta_function.html" title="Beta">Lanczos approximation</a></p></td></tr>
+</table></dd>
<dt><span class="term">beta</span></dt>
-<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Example">Distribution Construction Example</a></p></td></tr></table></dd>
+<dd><table class="simplelist" border="0" summary="Simple list">
+<tr><td><p><a class="link" href="../math_toolkit/special/sf_beta/beta_function.html" title="Beta">Beta</a></p></td></tr>
+<tr><td><p><a class="link" href="../math_toolkit/main_overview/tr1.html" title="C99 and TR1 C Functions">C99 and TR1 C Functions</a></p></td></tr>
+<tr><td><p><a class="link" href="../math_toolkit/special/extern_c/tr1.html" title="C99 and TR1 C Functions Overview">C99 and TR1 C Functions Overview</a></p></td></tr>
+<tr><td><p><a class="link" href="../math_toolkit/special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">Incomplete Beta Functions</a></p></td></tr>
+<tr><td><p><a class="link" href="../math_toolkit/special/extern_c/tr1_ref.html" title="TR1 C Functions Quick Reference">TR1 C Functions Quick Reference</a></p></td></tr>
+</table></dd>
<dt><span class="term">Beta Distribution</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list">
<tr><td><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/beta_dist.html" title="Beta Distribution">beta_distribution</a></p></td></tr>
@@ -185,7 +194,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_ref/policy_defaults.html" title="Using macros to Change the Policy Defaults">Using macros to Change the Policy Defaults</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_48"></a><span class="term">C</span>
+<a name="idx_id_45"></a><span class="term">C</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">C99 and TR1 C Functions</span></dt>
@@ -193,6 +202,7 @@
<tr><td><p><a class="link" href="../math_toolkit/main_overview/tr1.html" title="C99 and TR1 C Functions">acosh</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/main_overview/tr1.html" title="C99 and TR1 C Functions">asinh</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/main_overview/tr1.html" title="C99 and TR1 C Functions">atanh</a></p></td></tr>
+<tr><td><p><a class="link" href="../math_toolkit/main_overview/tr1.html" title="C99 and TR1 C Functions">beta</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/main_overview/tr1.html" title="C99 and TR1 C Functions">betaf</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/main_overview/tr1.html" title="C99 and TR1 C Functions">cbrt</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/main_overview/tr1.html" title="C99 and TR1 C Functions">comp_ellint_2</a></p></td></tr>
@@ -229,6 +239,7 @@
<tr><td><p><a class="link" href="../math_toolkit/special/extern_c/tr1.html" title="C99 and TR1 C Functions Overview">acosh</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/special/extern_c/tr1.html" title="C99 and TR1 C Functions Overview">asinh</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/special/extern_c/tr1.html" title="C99 and TR1 C Functions Overview">atanh</a></p></td></tr>
+<tr><td><p><a class="link" href="../math_toolkit/special/extern_c/tr1.html" title="C99 and TR1 C Functions Overview">beta</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/special/extern_c/tr1.html" title="C99 and TR1 C Functions Overview">betaf</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/special/extern_c/tr1.html" title="C99 and TR1 C Functions Overview">cbrt</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/special/extern_c/tr1.html" title="C99 and TR1 C Functions Overview">comp_ellint_2</a></p></td></tr>
@@ -369,7 +380,7 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_49"></a><span class="term">D</span>
+<a name="idx_id_46"></a><span class="term">D</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">denorm_error_type</span></dt>
@@ -401,7 +412,7 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_50"></a><span class="term">E</span>
+<a name="idx_id_47"></a><span class="term">E</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">e</span></dt>
@@ -473,13 +484,9 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">Policy Class Reference</a></p></td></tr></table></dd>
<dt><span class="term">Examples</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list">
-<tr><td><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Example">beta</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html" title="Binomial Quiz Example">BOOST_MATH_DISCRETE_QUANTILE_POLICY</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/error_eg.html" title="Error Handling Example">BOOST_MATH_DOMAIN_ERROR_POLICY</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html" title="Negative Binomial Sales Quota Example.">BOOST_MATH_OVERFLOW_ERROR_POLICY</a></p></td></tr>
-<tr><td><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html" title="Find Location (Mean) Example">mean</a></p></td></tr>
-<tr><td><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Example">negative_binomial</a></p></td></tr>
-<tr><td><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html" title="Negative Binomial Sales Quota Example.">quantile</a></p></td></tr>
</table></dd>
<dt><span class="term">expint</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list">
@@ -517,7 +524,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/extreme_dist.html" title="Extreme Value Distribution">Extreme Value Distribution</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_51"></a><span class="term">F</span>
+<a name="idx_id_48"></a><span class="term">F</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">F Distribution</span></dt>
@@ -596,7 +603,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/special/fpclass.html" title="Floating-Point Classification: Infinities and NaN's">Floating-Point Classification: Infinities and NaN's</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_52"></a><span class="term">G</span>
+<a name="idx_id_49"></a><span class="term">G</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">Gamma</span></dt>
@@ -634,7 +641,7 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_53"></a><span class="term">H</span>
+<a name="idx_id_50"></a><span class="term">H</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">halley_iterate</span></dt>
@@ -662,7 +669,7 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_54"></a><span class="term">I</span>
+<a name="idx_id_51"></a><span class="term">I</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">ibeta</span></dt>
@@ -699,6 +706,7 @@
</table></dd>
<dt><span class="term">Incomplete Beta Functions</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list">
+<tr><td><p><a class="link" href="../math_toolkit/special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">beta</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">betac</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibeta</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/special/sf_beta/ibeta_function.html" title="Incomplete Beta Functions">ibetac</a></p></td></tr>
@@ -729,14 +737,14 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_55"></a><span class="term">K</span>
+<a name="idx_id_52"></a><span class="term">K</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">Known Issues, and Todo List</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/status/issues.html" title="Known Issues, and Todo List">Lanczos approximation</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_56"></a><span class="term">L</span>
+<a name="idx_id_53"></a><span class="term">L</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">laguerre</span></dt>
@@ -834,13 +842,11 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_57"></a><span class="term">M</span>
+<a name="idx_id_54"></a><span class="term">M</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">make_policy</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">Policy Class Reference</a></p></td></tr></table></dd>
-<dt><span class="term">mean</span></dt>
-<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html" title="Find Location (Mean) Example">Find Location (Mean) Example</a></p></td></tr></table></dd>
<dt><span class="term">Modified Bessel Functions of the First and Second Kinds</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list">
<tr><td><p><a class="link" href="../math_toolkit/special/bessel/mbessel.html" title="Modified Bessel Functions of the First and Second Kinds">cyl_bessel_i</a></p></td></tr>
@@ -850,7 +856,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_tutorial/user_def_err_pol.html" title="Calling User Defined Error Handlers">Calling User Defined Error Handlers</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_58"></a><span class="term">N</span>
+<a name="idx_id_55"></a><span class="term">N</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">Negative Binomial Distribution</span></dt>
@@ -862,8 +868,6 @@
<tr><td><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">policy_type</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">value_type</a></p></td></tr>
</table></dd>
-<dt><span class="term">negative_binomial</span></dt>
-<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/dist_construct_eg.html" title="Distribution Construction Example">Distribution Construction Example</a></p></td></tr></table></dd>
<dt><span class="term">negative_binomial_distribution</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html" title="Negative Binomial Distribution">Negative Binomial Distribution</a></p></td></tr></table></dd>
<dt><span class="term">newton_raphson_iterate</span></dt>
@@ -923,14 +927,14 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/toolkit/internals1/constants.html" title="Numeric Constants">e</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_59"></a><span class="term">O</span>
+<a name="idx_id_56"></a><span class="term">O</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">overflow_error_type</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">Policy Class Reference</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_60"></a><span class="term">P</span>
+<a name="idx_id_57"></a><span class="term">P</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">Pareto Distribution</span></dt>
@@ -1016,14 +1020,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">Policy Class Reference</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_61"></a><span class="term">Q</span>
-</dt>
-<dd><div class="variablelist"><dl>
-<dt><span class="term">quantile</span></dt>
-<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/dist/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html" title="Negative Binomial Sales Quota Example.">Negative Binomial Sales Quota Example.</a></p></td></tr></table></dd>
-</dl></div></dd>
-<dt>
-<a name="idx_id_62"></a><span class="term">R</span>
+<a name="idx_id_58"></a><span class="term">R</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">Ratios of Gamma Functions</span></dt>
@@ -1070,7 +1067,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/policy/pol_ref/pol_ref_ref.html" title="Policy Class Reference">Policy Class Reference</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_63"></a><span class="term">S</span>
+<a name="idx_id_59"></a><span class="term">S</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">schroeder_iterate</span></dt>
@@ -1136,7 +1133,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/students_t_dist.html" title="Students t Distribution">Students t Distribution</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_64"></a><span class="term">T</span>
+<a name="idx_id_60"></a><span class="term">T</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">test_data</span></dt>
@@ -1163,6 +1160,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/special/sf_gamma/gamma_ratios.html" title="Ratios of Gamma Functions">Ratios of Gamma Functions</a></p></td></tr></table></dd>
<dt><span class="term">TR1 C Functions Quick Reference</span></dt>
<dd><table class="simplelist" border="0" summary="Simple list">
+<tr><td><p><a class="link" href="../math_toolkit/special/extern_c/tr1_ref.html" title="TR1 C Functions Quick Reference">beta</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/special/extern_c/tr1_ref.html" title="TR1 C Functions Quick Reference">betaf</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/special/extern_c/tr1_ref.html" title="TR1 C Functions Quick Reference">comp_ellint_2</a></p></td></tr>
<tr><td><p><a class="link" href="../math_toolkit/special/extern_c/tr1_ref.html" title="TR1 C Functions Quick Reference">comp_ellint_3</a></p></td></tr>
@@ -1195,7 +1193,7 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_65"></a><span class="term">U</span>
+<a name="idx_id_61"></a><span class="term">U</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">underflow_error_type</span></dt>
@@ -1233,7 +1231,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/using_udt/use_ntl.html" title="Using With NTL - a High-Precision Floating-Point Library">Lanczos approximation</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_66"></a><span class="term">V</span>
+<a name="idx_id_62"></a><span class="term">V</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">value_type</span></dt>
@@ -1266,7 +1264,7 @@
</table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_67"></a><span class="term">W</span>
+<a name="idx_id_63"></a><span class="term">W</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">Weibull Distribution</span></dt>
@@ -1279,7 +1277,7 @@
<dd><table class="simplelist" border="0" summary="Simple list"><tr><td><p><a class="link" href="../math_toolkit/dist/dist_ref/dists/weibull.html" title="Weibull Distribution">Weibull Distribution</a></p></td></tr></table></dd>
</dl></div></dd>
<dt>
-<a name="idx_id_68"></a><span class="term">Z</span>
+<a name="idx_id_64"></a><span class="term">Z</span>
</dt>
<dd><div class="variablelist"><dl>
<dt><span class="term">zeta</span></dt>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,16 +17,15 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="math_toolkit.backgrounders"></a><a class="link" href="backgrounders.html" title="Backgrounders"> Backgrounders</a>
+<a name="math_toolkit.backgrounders"></a><a class="link" href="backgrounders.html" title="Backgrounders">Backgrounders</a>
</h2></div></div></div>
<div class="toc"><dl>
-<dt><span class="section"><a href="backgrounders/implementation.html"> Additional
+<dt><span class="section"><a href="backgrounders/implementation.html">Additional
Implementation Notes</a></span></dt>
-<dt><span class="section"><a href="backgrounders/relative_error.html"> Relative
- Error</a></span></dt>
-<dt><span class="section"> The Lanczos Approximation</span></dt>
-<dt><span class="section"> The Remez Method</span></dt>
-<dt><span class="section"> References</span></dt>
+<dt><span class="section">Relative Error</span></dt>
+<dt><span class="section">The Lanczos Approximation</span></dt>
+<dt><span class="section">The Remez Method</span></dt>
+<dt><span class="section">References</span></dt>
</dl></div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/implementation.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/implementation.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/implementation.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.backgrounders.implementation"></a><a class="link" href="implementation.html" title="Additional Implementation Notes"> Additional
+<a name="math_toolkit.backgrounders.implementation"></a><a class="link" href="implementation.html" title="Additional Implementation Notes">Additional
Implementation Notes</a>
</h3></div></div></div>
<p>
@@ -26,7 +26,7 @@
and reflect more the general implementation philosophy used.
</p>
<a name="math_toolkit.backgrounders.implementation.implemention_philosophy"></a><h5>
-<a name="id1352305"></a>
+<a name="id1352034"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.implemention_philosophy">Implemention
philosophy</a>
</h5>
@@ -78,7 +78,7 @@
These could still provide sufficient accuracy for some speed-critical applications.
</p>
<a name="math_toolkit.backgrounders.implementation.accuracy_and_representation_of_test_values"></a><h5>
-<a name="id1352368"></a>
+<a name="id1352098"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.accuracy_and_representation_of_test_values">Accuracy
and Representation of Test Values</a>
</h5>
@@ -123,7 +123,7 @@
binary value).
</p>
<a name="math_toolkit.backgrounders.implementation.tolerance_of_tests"></a><h5>
-<a name="id1353834"></a>
+<a name="id1352242"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.tolerance_of_tests">Tolerance
of Tests</a>
</h5>
@@ -149,7 +149,7 @@
first that the suffix L is present, and then that the tolerance is big enough.
</p>
<a name="math_toolkit.backgrounders.implementation.handling_unsuitable_arguments"></a><h5>
-<a name="id1353879"></a>
+<a name="id1352286"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_unsuitable_arguments">Handling
Unsuitable Arguments</a>
</h5>
@@ -217,7 +217,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.backgrounders.implementation.handling_of_functions_that_are_not_mathematically_defined"></a><h5>
-<a name="id1354011"></a>
+<a name="id1352418"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_functions_that_are_not_mathematically_defined">Handling
of Functions that are Not Mathematically defined</a>
</h5>
@@ -251,7 +251,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.backgrounders.implementation.median_of_distributions"></a><h5>
-<a name="id1354097"></a>
+<a name="id1352505"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.median_of_distributions">Median
of distributions</a>
</h5>
@@ -284,7 +284,7 @@
Basic Statistics.</a> give more detail, in particular for discrete distributions.
</p>
<a name="math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity"></a><h5>
-<a name="id1354197"></a>
+<a name="id1352604"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.handling_of_floating_point_infinity">Handling
of Floating-Point Infinity</a>
</h5>
@@ -328,7 +328,7 @@
handling policies</a>.
</p>
<a name="math_toolkit.backgrounders.implementation.scale__shape_and_location"></a><h5>
-<a name="id1354285"></a>
+<a name="id1352693"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.scale__shape_and_location">Scale,
Shape and Location</a>
</h5>
@@ -355,7 +355,7 @@
functions, they can be added if required.
</p>
<a name="math_toolkit.backgrounders.implementation.notes_on_implementation_of_specific_functions__amp__distributions"></a><h5>
-<a name="id1354620"></a>
+<a name="id1354863"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.notes_on_implementation_of_specific_functions__amp__distributions">Notes
on Implementation of Specific Functions & Distributions</a>
</h5>
@@ -367,7 +367,7 @@
lower = -1, mode = 0 and upper = 1 would be more suitable.
</li></ul></div>
<a name="math_toolkit.backgrounders.implementation.rational_approximations_used"></a><h5>
-<a name="id1354644"></a>
+<a name="id1354887"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.rational_approximations_used">Rational
Approximations Used</a>
</h5>
@@ -410,7 +410,7 @@
to the "true" minimax solution.
</p>
<a name="math_toolkit.backgrounders.implementation.representation_of_mathematical_constants"></a><h5>
-<a name="id1354689"></a>
+<a name="id1354931"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.representation_of_mathematical_constants">Representation
of Mathematical Constants</a>
</h5>
@@ -471,7 +471,7 @@
</span><span class="keyword">double</span> <span class="identifier">p</span> <span class="special">=</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">constants</span><span class="special">::</span><span class="identifier">pi</span><span class="special">();</span> <span class="comment">// Context does not allow for disambiguation of overloaded function
</span></pre>
<a name="math_toolkit.backgrounders.implementation.thread_safety"></a><h5>
-<a name="id1355076"></a>
+<a name="id1355319"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.thread_safety">Thread
safety</a>
</h5>
@@ -496,7 +496,7 @@
the right thing here at some point.
</p>
<a name="math_toolkit.backgrounders.implementation.sources_of_test_data"></a><h5>
-<a name="id1355112"></a>
+<a name="id1355355"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.sources_of_test_data">Sources
of Test Data</a>
</h5>
@@ -534,7 +534,7 @@
the underlying special function is known to be difficult to implement.
</p>
<a name="math_toolkit.backgrounders.implementation.creating_and_managing_the_equations"></a><h5>
-<a name="id1355177"></a>
+<a name="id1355420"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.creating_and_managing_the_equations">Creating
and Managing the Equations</a>
</h5>
@@ -695,7 +695,7 @@
HTML: this needs further investigation.
</p>
<a name="math_toolkit.backgrounders.implementation.producing_graphs"></a><h5>
-<a name="id1355359"></a>
+<a name="id1355602"></a>
<a class="link" href="implementation.html#math_toolkit.backgrounders.implementation.producing_graphs">Producing
Graphs</a>
</h5>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/lanczos.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/lanczos.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/lanczos.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,10 +17,10 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.backgrounders.lanczos"></a><a class="link" href="lanczos.html" title="The Lanczos Approximation"> The Lanczos Approximation</a>
+<a name="math_toolkit.backgrounders.lanczos"></a><a class="link" href="lanczos.html" title="The Lanczos Approximation">The Lanczos Approximation</a>
</h3></div></div></div>
<a name="math_toolkit.backgrounders.lanczos.motivation"></a><h5>
-<a name="id1355585"></a>
+<a name="id1355824"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.motivation">Motivation</a>
</h5>
<p>
@@ -92,7 +92,7 @@
functions divided by large powers into single (simpler) expressions.
</p>
<a name="math_toolkit.backgrounders.lanczos.the_approximation"></a><h5>
-<a name="id1355841"></a>
+<a name="id1356080"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.the_approximation">The
Approximation</a>
</h5>
@@ -154,7 +154,7 @@
</p></td></tr>
</table></div>
<a name="math_toolkit.backgrounders.lanczos.computing_the_coefficients"></a><h5>
-<a name="id1356557"></a>
+<a name="id1356272"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.computing_the_coefficients">Computing
the Coefficients</a>
</h5>
@@ -198,7 +198,7 @@
multiplied by <span class="emphasis"><em>F</em></span> as the last step.
</p>
<a name="math_toolkit.backgrounders.lanczos.choosing_the_right_parameters"></a><h5>
-<a name="id1356714"></a>
+<a name="id1356429"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.choosing_the_right_parameters">Choosing
the Right Parameters</a>
</h5>
@@ -222,7 +222,7 @@
computing to float precision with double precision arithmetic.
</p>
<div class="table">
-<a name="id1356768"></a><p class="title"><b>Table 53. Optimal choices for N and g when computing with guard digits (source:
+<a name="id1356483"></a><p class="title"><b>Table 53. Optimal choices for N and g when computing with guard digits (source:
Pugh)</b></p>
<div class="table-contents"><table class="table" summary="Optimal choices for N and g when computing with guard digits (source:
Pugh)">
@@ -365,7 +365,7 @@
exactly matches the machine epsilon for the type in question.
</p>
<div class="table">
-<a name="id1356991"></a><p class="title"><b>Table 54. Optimum value for N and g when computing at fixed precision</b></p>
+<a name="id1356706"></a><p class="title"><b>Table 54. Optimum value for N and g when computing at fixed precision</b></p>
<div class="table-contents"><table class="table" summary="Optimum value for N and g when computing at fixed precision">
<colgroup>
<col>
@@ -528,16 +528,16 @@
is exact, and so isn't used for the gamma function.
</p>
<a name="math_toolkit.backgrounders.lanczos.references"></a><h5>
-<a name="id1357249"></a>
+<a name="id1358334"></a>
<a class="link" href="lanczos.html#math_toolkit.backgrounders.lanczos.references">References</a>
</h5>
-<a name="godfrey"></a><a name="pugh"></a><div class="orderedlist"><ol type="1">
+<div class="orderedlist"><ol type="1">
<li>
- Paul Godfrey, <a href="http://my.fit.edu/~gabdo/gamma.txt" target="_top">"A
+ <a name="godfrey"></a> Paul Godfrey, <a href="http://my.fit.edu/~gabdo/gamma.txt" target="_top">"A
note on the computation of the convergent Lanczos complex Gamma approximation"</a>.
</li>
<li>
- Glendon Ralph Pugh, <a href="http://bh0.physics.ubc.ca/People/matt/Doc/ThesesOthers/Phd/pugh.pdf" target="_top">"An
+ <a name="pugh"></a> Glendon Ralph Pugh, <a href="http://bh0.physics.ubc.ca/People/matt/Doc/ThesesOthers/Phd/pugh.pdf" target="_top">"An
Analysis of the Lanczos Gamma Approximation"</a>, PhD Thesis
November 2004.
</li>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/refs.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/refs.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/refs.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,10 +17,10 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.backgrounders.refs"></a><a class="link" href="refs.html" title="References"> References</a>
+<a name="math_toolkit.backgrounders.refs"></a><a class="link" href="refs.html" title="References">References</a>
</h3></div></div></div>
<a name="math_toolkit.backgrounders.refs.general_references"></a><h5>
-<a name="id1358172"></a>
+<a name="id1359257"></a>
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.general_references">General
references</a>
</h5>
@@ -84,7 +84,7 @@
Library (version 2), Walter E. Brown</a>
</p>
<a name="math_toolkit.backgrounders.refs.calculators__that_we_found__and_used_to_cross_check___as_far_as_their_widely_varying_accuracy_allowed__"></a><h5>
-<a name="id1358263"></a>
+<a name="id1359348"></a>
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.calculators__that_we_found__and_used_to_cross_check___as_far_as_their_widely_varying_accuracy_allowed__">Calculators*
that we found (and used to cross-check - as far as their widely-varying accuracy
allowed).</a>
@@ -94,7 +94,7 @@
Binomial Probability Distribution Calculator.
</p>
<a name="math_toolkit.backgrounders.refs.other_libraries"></a><h5>
-<a name="id1358287"></a>
+<a name="id1359372"></a>
<a class="link" href="refs.html#math_toolkit.backgrounders.refs.other_libraries">Other Libraries</a>
</h5>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/relative_error.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/relative_error.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/relative_error.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,8 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.backgrounders.relative_error"></a><a class="link" href="relative_error.html" title="Relative Error"> Relative
- Error</a>
+<a name="math_toolkit.backgrounders.relative_error"></a><a class="link" href="relative_error.html" title="Relative Error">Relative Error</a>
</h3></div></div></div>
<p>
Given an actual value <span class="emphasis"><em>a</em></span> and a found value <span class="emphasis"><em>v</em></span>
@@ -71,10 +70,8 @@
errors differ by a factor of 2, can actually be accurate to the same number
of binary digits. You have been warned!
</p>
-<a name="zero_error"></a><p>
- </p>
-<a name="math_toolkit.backgrounders.relative_error.the_impossibility_of_zero_error"></a><h5>
-<a name="id1355542"></a>
+<a name="zero_error"></a><a name="math_toolkit.backgrounders.relative_error.the_impossibility_of_zero_error"></a><h5>
+<a name="id1355781"></a>
<a class="link" href="relative_error.html#math_toolkit.backgrounders.relative_error.the_impossibility_of_zero_error">The
Impossibility of Zero Error</a>
</h5>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/remez.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/remez.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/backgrounders/remez.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.backgrounders.remez"></a><a class="link" href="remez.html" title="The Remez Method"> The Remez Method</a>
+<a name="math_toolkit.backgrounders.remez"></a><a class="link" href="remez.html" title="The Remez Method">The Remez Method</a>
</h3></div></div></div>
<p>
The Remez algorithm
@@ -87,7 +87,7 @@
are located!</em></span>
</p>
<a name="math_toolkit.backgrounders.remez.the_remez_method"></a><h5>
-<a name="id1357433"></a>
+<a name="id1358518"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.the_remez_method">The Remez
Method</a>
</h5>
@@ -167,7 +167,7 @@
</td></tr>
</table></div>
<a name="math_toolkit.backgrounders.remez.remez_step_1"></a><h5>
-<a name="id1357585"></a>
+<a name="id1358670"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_step_1">Remez Step
1</a>
</h5>
@@ -198,7 +198,7 @@
to 5.6x10<sup>-4</sup>.
</p>
<a name="math_toolkit.backgrounders.remez.remez_step_2"></a><h5>
-<a name="id1357660"></a>
+<a name="id1358745"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_step_2">Remez Step
2</a>
</h5>
@@ -227,7 +227,7 @@
In our example we perform multi-point exchange.
</p>
<a name="math_toolkit.backgrounders.remez.iteration"></a><h5>
-<a name="id1357691"></a>
+<a name="id1358776"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.iteration">Iteration</a>
</h5>
<p>
@@ -243,7 +243,7 @@
<span class="inlinemediaobject"><img src="../../../graphs/remez-4.png" alt="remez-4"></span>
</p>
<a name="math_toolkit.backgrounders.remez.rational_approximations"></a><h5>
-<a name="id1357735"></a>
+<a name="id1358820"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.rational_approximations">Rational
Approximations</a>
</h5>
@@ -292,7 +292,7 @@
number of terms overall.
</p>
<a name="math_toolkit.backgrounders.remez.practical_considerations"></a><h5>
-<a name="id1357816"></a>
+<a name="id1358901"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.practical_considerations">Practical
Considerations</a>
</h5>
@@ -400,7 +400,7 @@
desired minimax solution (5x10<sup>-4</sup>).
</p>
<a name="math_toolkit.backgrounders.remez.remez_method_checklist"></a><h5>
-<a name="id1357970"></a>
+<a name="id1359055"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.remez_method_checklist">Remez
Method Checklist</a>
</h5>
@@ -454,7 +454,7 @@
</li>
</ul></div>
<a name="math_toolkit.backgrounders.remez.references"></a><h5>
-<a name="id1358053"></a>
+<a name="id1359138"></a>
<a class="link" href="remez.html#math_toolkit.backgrounders.remez.references">References</a>
</h5>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,157 +17,154 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="math_toolkit.dist"></a><a class="link" href="dist.html" title="Statistical Distributions and Functions"> Statistical Distributions and Functions</a>
+<a name="math_toolkit.dist"></a><a class="link" href="dist.html" title="Statistical Distributions and Functions">Statistical Distributions and Functions</a>
</h2></div></div></div>
<div class="toc"><dl>
-<dt><span class="section"><a href="dist/stat_tut.html"> Statistical Distributions
+<dt><span class="section"><a href="dist/stat_tut.html">Statistical Distributions
Tutorial</a></span></dt>
<dd><dl>
-<dt><span class="section"> Overview</span></dt>
-<dt><span class="section"> Worked Examples</span></dt>
+<dt><span class="section">Overview</span></dt>
+<dt><span class="section">Worked Examples</span></dt>
<dd><dl>
-<dt><span class="section"><a href="dist/stat_tut/weg/dist_construct_eg.html">
- Distribution Construction Example</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/st_eg.html"> Student's
- t Distribution Examples</a></span></dt>
-<dd><dl>
-<dt><span class="section"><a href="dist/stat_tut/weg/st_eg/tut_mean_intervals.html">
- Calculating confidence intervals on the mean with the Students-t distribution</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/st_eg/tut_mean_test.html">
- Testing a sample mean for difference from a "true" mean</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/st_eg/tut_mean_size.html">
- Estimating how large a sample size would have to become in order to give
- a significant Students-t test result with a single sample test</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/st_eg/two_sample_students_t.html">
- Comparing the means of two samples with the Students-t test</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/st_eg/paired_st.html">
- Comparing two paired samples with the Student's t distribution</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/dist_construct_eg.html">Distribution
+ Construction Example</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/st_eg.html">Student's t
+ Distribution Examples</a></span></dt>
+<dd><dl>
+<dt><span class="section"><a href="dist/stat_tut/weg/st_eg/tut_mean_intervals.html">Calculating
+ confidence intervals on the mean with the Students-t distribution</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/st_eg/tut_mean_test.html">Testing
+ a sample mean for difference from a "true" mean</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/st_eg/tut_mean_size.html">Estimating
+ how large a sample size would have to become in order to give a significant
+ Students-t test result with a single sample test</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/st_eg/two_sample_students_t.html">Comparing
+ the means of two samples with the Students-t test</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/st_eg/paired_st.html">Comparing
+ two paired samples with the Student's t distribution</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="dist/stat_tut/weg/cs_eg.html"> Chi Squared
+<dt><span class="section"><a href="dist/stat_tut/weg/cs_eg.html">Chi Squared
Distribution Examples</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="dist/stat_tut/weg/cs_eg/chi_sq_intervals.html">
- Confidence Intervals on the Standard Deviation</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/cs_eg/chi_sq_test.html">
- Chi-Square Test for the Standard Deviation</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/cs_eg/chi_sq_size.html">
- Estimating the Required Sample Sizes for a Chi-Square Test for the Standard
- Deviation</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/cs_eg/chi_sq_intervals.html">Confidence
+ Intervals on the Standard Deviation</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/cs_eg/chi_sq_test.html">Chi-Square
+ Test for the Standard Deviation</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/cs_eg/chi_sq_size.html">Estimating
+ the Required Sample Sizes for a Chi-Square Test for the Standard Deviation</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="dist/stat_tut/weg/f_eg.html"> F Distribution
+<dt><span class="section"><a href="dist/stat_tut/weg/f_eg.html">F Distribution
Examples</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/binom_eg.html"> Binomial
+<dt><span class="section"><a href="dist/stat_tut/weg/binom_eg.html">Binomial
Distribution Examples</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="dist/stat_tut/weg/binom_eg/binomial_coinflip_example.html">
- Binomial Coin-Flipping Example</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/binom_eg/binomial_quiz_example.html">
- Binomial Quiz Example</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/binom_eg/binom_conf.html">
- Calculating Confidence Limits on the Frequency of Occurrence for a Binomial
- Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/binom_eg/binom_size_eg.html">
- Estimating Sample Sizes for a Binomial Distribution.</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/binom_eg/binomial_coinflip_example.html">Binomial
+ Coin-Flipping Example</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/binom_eg/binomial_quiz_example.html">Binomial
+ Quiz Example</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/binom_eg/binom_conf.html">Calculating
+ Confidence Limits on the Frequency of Occurrence for a Binomial Distribution</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/binom_eg/binom_size_eg.html">Estimating
+ Sample Sizes for a Binomial Distribution.</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="dist/stat_tut/weg/neg_binom_eg.html"> Negative
+<dt><span class="section"><a href="dist/stat_tut/weg/neg_binom_eg.html">Negative
Binomial Distribution Examples</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="dist/stat_tut/weg/neg_binom_eg/neg_binom_conf.html">
- Calculating Confidence Limits on the Frequency of Occurrence for the
- Negative Binomial Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html">
- Estimating Sample Sizes for the Negative Binomial.</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html">
- Negative Binomial Sales Quota Example.</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html">
- Negative Binomial Table Printing Example.</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/neg_binom_eg/neg_binom_conf.html">Calculating
+ Confidence Limits on the Frequency of Occurrence for the Negative Binomial
+ Distribution</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html">Estimating
+ Sample Sizes for the Negative Binomial.</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html">Negative
+ Binomial Sales Quota Example.</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html">Negative
+ Binomial Table Printing Example.</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="dist/stat_tut/weg/normal_example.html"> Normal
+<dt><span class="section"><a href="dist/stat_tut/weg/normal_example.html">Normal
Distribution Examples</a></span></dt>
-<dd><dl><dt><span class="section"><a href="dist/stat_tut/weg/normal_example/normal_misc.html">
- Some Miscellaneous Examples of the Normal (Gaussian) Distribution</a></span></dt></dl></dd>
-<dt><span class="section"><a href="dist/stat_tut/weg/nccs_eg.html"> Non Central
+<dd><dl><dt><span class="section"><a href="dist/stat_tut/weg/normal_example/normal_misc.html">Some
+ Miscellaneous Examples of the Normal (Gaussian) Distribution</a></span></dt></dl></dd>
+<dt><span class="section"><a href="dist/stat_tut/weg/nccs_eg.html">Non Central
Chi Squared Example</a></span></dt>
-<dd><dl><dt><span class="section"><a href="dist/stat_tut/weg/nccs_eg/nccs_power_eg.html">
- Tables of the power function of the χ<sup>2</sup> test.</a></span></dt></dl></dd>
-<dt><span class="section"><a href="dist/stat_tut/weg/error_eg.html"> Error Handling
+<dd><dl><dt><span class="section"><a href="dist/stat_tut/weg/nccs_eg/nccs_power_eg.html">Tables
+ of the power function of the χ<sup>2</sup> test.</a></span></dt></dl></dd>
+<dt><span class="section"><a href="dist/stat_tut/weg/error_eg.html">Error Handling
Example</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/find_eg.html"> Find Location
+<dt><span class="section"><a href="dist/stat_tut/weg/find_eg.html">Find Location
and Scale Examples</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="dist/stat_tut/weg/find_eg/find_location_eg.html">
- Find Location (Mean) Example</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/find_eg/find_scale_eg.html">
- Find Scale (Standard Deviation) Example</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html">
- Find mean and standard deviation example</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/find_eg/find_location_eg.html">Find
+ Location (Mean) Example</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/find_eg/find_scale_eg.html">Find
+ Scale (Standard Deviation) Example</a></span></dt>
+<dt><span class="section"><a href="dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html">Find
+ mean and standard deviation example</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="dist/stat_tut/weg/nag_library.html"> Comparison
+<dt><span class="section"><a href="dist/stat_tut/weg/nag_library.html">Comparison
with C, R, FORTRAN-style Free Functions</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="dist/stat_tut/variates.html"> Random Variates
+<dt><span class="section"><a href="dist/stat_tut/variates.html">Random Variates
and Distribution Parameters</a></span></dt>
-<dt><span class="section"><a href="dist/stat_tut/dist_params.html"> Discrete Probability
+<dt><span class="section"><a href="dist/stat_tut/dist_params.html">Discrete Probability
Distributions</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="dist/dist_ref.html"> Statistical Distributions
+<dt><span class="section"><a href="dist/dist_ref.html">Statistical Distributions
Reference</a></span></dt>
<dd><dl>
-<dt><span class="section"> Non-Member Properties</span></dt>
-<dt><span class="section"> Distributions</span></dt>
+<dt><span class="section">Non-Member Properties</span></dt>
+<dt><span class="section">Distributions</span></dt>
<dd><dl>
-<dt><span class="section"><a href="dist/dist_ref/dists/bernoulli_dist.html">
- Bernoulli Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/beta_dist.html"> Beta
+<dt><span class="section"><a href="dist/dist_ref/dists/bernoulli_dist.html">Bernoulli
Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/binomial_dist.html">
- Binomial Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/cauchy_dist.html"> Cauchy-Lorentz
+<dt><span class="section"><a href="dist/dist_ref/dists/beta_dist.html">Beta
Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/chi_squared_dist.html">
- Chi Squared Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/exp_dist.html"> Exponential
+<dt><span class="section"><a href="dist/dist_ref/dists/binomial_dist.html">Binomial
Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/extreme_dist.html"> Extreme
+<dt><span class="section"><a href="dist/dist_ref/dists/cauchy_dist.html">Cauchy-Lorentz
+ Distribution</a></span></dt>
+<dt><span class="section"><a href="dist/dist_ref/dists/chi_squared_dist.html">Chi
+ Squared Distribution</a></span></dt>
+<dt><span class="section"><a href="dist/dist_ref/dists/exp_dist.html">Exponential
+ Distribution</a></span></dt>
+<dt><span class="section"><a href="dist/dist_ref/dists/extreme_dist.html">Extreme
Value Distribution</a></span></dt>
-<dt><span class="section"> F Distribution</span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/gamma_dist.html"> Gamma
+<dt><span class="section">F Distribution</span></dt>
+<dt><span class="section"><a href="dist/dist_ref/dists/gamma_dist.html">Gamma
(and Erlang) Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/logistic_dist.html">
- Logistic Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/lognormal_dist.html">
- Log Normal Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/negative_binomial_dist.html">
- Negative Binomial Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/nc_beta_dist.html"> Noncentral
+<dt><span class="section"><a href="dist/dist_ref/dists/logistic_dist.html">Logistic
+ Distribution</a></span></dt>
+<dt><span class="section"><a href="dist/dist_ref/dists/lognormal_dist.html">Log
+ Normal Distribution</a></span></dt>
+<dt><span class="section"><a href="dist/dist_ref/dists/negative_binomial_dist.html">Negative
+ Binomial Distribution</a></span></dt>
+<dt><span class="section"><a href="dist/dist_ref/dists/nc_beta_dist.html">Noncentral
Beta Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/nc_chi_squared_dist.html">
- Noncentral Chi-Squared Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/nc_f_dist.html"> Noncentral
+<dt><span class="section"><a href="dist/dist_ref/dists/nc_chi_squared_dist.html">Noncentral
+ Chi-Squared Distribution</a></span></dt>
+<dt><span class="section"><a href="dist/dist_ref/dists/nc_f_dist.html">Noncentral
F Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/nc_t_dist.html"> Noncentral
+<dt><span class="section"><a href="dist/dist_ref/dists/nc_t_dist.html">Noncentral
T Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/normal_dist.html"> Normal
+<dt><span class="section"><a href="dist/dist_ref/dists/normal_dist.html">Normal
(Gaussian) Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/pareto.html"> Pareto
+<dt><span class="section">Pareto Distribution</span></dt>
+<dt><span class="section"><a href="dist/dist_ref/dists/poisson_dist.html">Poisson
Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/poisson_dist.html"> Poisson
+<dt><span class="section"><a href="dist/dist_ref/dists/rayleigh.html">Rayleigh
Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/rayleigh.html"> Rayleigh
+<dt><span class="section"><a href="dist/dist_ref/dists/students_t_dist.html">Students
+ t Distribution</a></span></dt>
+<dt><span class="section"><a href="dist/dist_ref/dists/triangular_dist.html">Triangular
Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/students_t_dist.html">
- Students t Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/triangular_dist.html">
- Triangular Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/weibull.html"> Weibull
+<dt><span class="section"><a href="dist/dist_ref/dists/weibull.html">Weibull
Distribution</a></span></dt>
-<dt><span class="section"><a href="dist/dist_ref/dists/uniform_dist.html"> Uniform
+<dt><span class="section"><a href="dist/dist_ref/dists/uniform_dist.html">Uniform
Distribution</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="dist/dist_ref/dist_algorithms.html"> Distribution
+<dt><span class="section"><a href="dist/dist_ref/dist_algorithms.html">Distribution
Algorithms</a></span></dt>
</dl></dd>
-<dt><span class="section"> Extras/Future Directions</span></dt>
+<dt><span class="section">Extras/Future Directions</span></dt>
</dl></div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,62 +17,61 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.dist.dist_ref"></a><a class="link" href="dist_ref.html" title="Statistical Distributions Reference"> Statistical Distributions
+<a name="math_toolkit.dist.dist_ref"></a><a class="link" href="dist_ref.html" title="Statistical Distributions Reference">Statistical Distributions
Reference</a>
</h3></div></div></div>
<div class="toc"><dl>
-<dt><span class="section"> Non-Member Properties</span></dt>
-<dt><span class="section"> Distributions</span></dt>
+<dt><span class="section">Non-Member Properties</span></dt>
+<dt><span class="section">Distributions</span></dt>
<dd><dl>
-<dt><span class="section"><a href="dist_ref/dists/bernoulli_dist.html">
- Bernoulli Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/beta_dist.html"> Beta
+<dt><span class="section"><a href="dist_ref/dists/bernoulli_dist.html">Bernoulli
Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/binomial_dist.html">
- Binomial Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/cauchy_dist.html"> Cauchy-Lorentz
+<dt><span class="section"><a href="dist_ref/dists/beta_dist.html">Beta
+ Distribution</a></span></dt>
+<dt><span class="section"><a href="dist_ref/dists/binomial_dist.html">Binomial
+ Distribution</a></span></dt>
+<dt><span class="section"><a href="dist_ref/dists/cauchy_dist.html">Cauchy-Lorentz
Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/chi_squared_dist.html">
- Chi Squared Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/exp_dist.html"> Exponential
+<dt><span class="section"><a href="dist_ref/dists/chi_squared_dist.html">Chi
+ Squared Distribution</a></span></dt>
+<dt><span class="section"><a href="dist_ref/dists/exp_dist.html">Exponential
Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/extreme_dist.html"> Extreme
+<dt><span class="section"><a href="dist_ref/dists/extreme_dist.html">Extreme
Value Distribution</a></span></dt>
-<dt><span class="section"> F Distribution</span></dt>
-<dt><span class="section"><a href="dist_ref/dists/gamma_dist.html"> Gamma
+<dt><span class="section">F Distribution</span></dt>
+<dt><span class="section"><a href="dist_ref/dists/gamma_dist.html">Gamma
(and Erlang) Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/logistic_dist.html">
- Logistic Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/lognormal_dist.html">
- Log Normal Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/negative_binomial_dist.html">
- Negative Binomial Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/nc_beta_dist.html"> Noncentral
+<dt><span class="section"><a href="dist_ref/dists/logistic_dist.html">Logistic
+ Distribution</a></span></dt>
+<dt><span class="section"><a href="dist_ref/dists/lognormal_dist.html">Log
+ Normal Distribution</a></span></dt>
+<dt><span class="section"><a href="dist_ref/dists/negative_binomial_dist.html">Negative
+ Binomial Distribution</a></span></dt>
+<dt><span class="section"><a href="dist_ref/dists/nc_beta_dist.html">Noncentral
Beta Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/nc_chi_squared_dist.html">
- Noncentral Chi-Squared Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/nc_f_dist.html"> Noncentral
+<dt><span class="section"><a href="dist_ref/dists/nc_chi_squared_dist.html">Noncentral
+ Chi-Squared Distribution</a></span></dt>
+<dt><span class="section"><a href="dist_ref/dists/nc_f_dist.html">Noncentral
F Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/nc_t_dist.html"> Noncentral
+<dt><span class="section"><a href="dist_ref/dists/nc_t_dist.html">Noncentral
T Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/normal_dist.html"> Normal
+<dt><span class="section"><a href="dist_ref/dists/normal_dist.html">Normal
(Gaussian) Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/pareto.html"> Pareto
+<dt><span class="section">Pareto Distribution</span></dt>
+<dt><span class="section"><a href="dist_ref/dists/poisson_dist.html">Poisson
Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/poisson_dist.html"> Poisson
+<dt><span class="section"><a href="dist_ref/dists/rayleigh.html">Rayleigh
Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/rayleigh.html"> Rayleigh
+<dt><span class="section"><a href="dist_ref/dists/students_t_dist.html">Students
+ t Distribution</a></span></dt>
+<dt><span class="section"><a href="dist_ref/dists/triangular_dist.html">Triangular
Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/students_t_dist.html">
- Students t Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/triangular_dist.html">
- Triangular Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/weibull.html"> Weibull
+<dt><span class="section"><a href="dist_ref/dists/weibull.html">Weibull
Distribution</a></span></dt>
-<dt><span class="section"><a href="dist_ref/dists/uniform_dist.html"> Uniform
+<dt><span class="section"><a href="dist_ref/dists/uniform_dist.html">Uniform
Distribution</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="dist_ref/dist_algorithms.html"> Distribution
+<dt><span class="section"><a href="dist_ref/dist_algorithms.html">Distribution
Algorithms</a></span></dt>
</dl></div>
</div>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dist_algorithms.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,11 +17,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.dist.dist_ref.dist_algorithms"></a><a class="link" href="dist_algorithms.html" title="Distribution Algorithms"> Distribution
+<a name="math_toolkit.dist.dist_ref.dist_algorithms"></a><a class="link" href="dist_algorithms.html" title="Distribution Algorithms">Distribution
Algorithms</a>
</h4></div></div></div>
<a name="math_toolkit.dist.dist_ref.dist_algorithms.finding_the_location_and_scale_for_normal_and_similar_distributions"></a><h5>
-<a name="id1133481"></a>
+<a name="id1133791"></a>
<a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.finding_the_location_and_scale_for_normal_and_similar_distributions">Finding
the Location and Scale for Normal and similar distributions</a>
</h5>
@@ -43,7 +43,7 @@
</span><span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">complement</span><span class="special">;</span> <span class="comment">// Will be needed by users who want to use complements.
</span></pre>
<a name="math_toolkit.dist.dist_ref.dist_algorithms.find_location_function"></a><h5>
-<a name="id1133578"></a>
+<a name="id1133888"></a>
<a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.find_location_function">find_location
function</a>
</h5>
@@ -73,7 +73,7 @@
<span class="special">}}</span> <span class="comment">// namespaces
</span></pre>
<a name="math_toolkit.dist.dist_ref.dist_algorithms.find_scale_function"></a><h5>
-<a name="id1134024"></a>
+<a name="id1134334"></a>
<a class="link" href="dist_algorithms.html#math_toolkit.dist.dist_ref.dist_algorithms.find_scale_function">find_scale
function</a>
</h5>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,55 +17,54 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.dist.dist_ref.dists"></a><a class="link" href="dists.html" title="Distributions"> Distributions</a>
+<a name="math_toolkit.dist.dist_ref.dists"></a><a class="link" href="dists.html" title="Distributions">Distributions</a>
</h4></div></div></div>
<div class="toc"><dl>
-<dt><span class="section"><a href="dists/bernoulli_dist.html">
- Bernoulli Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/beta_dist.html"> Beta
+<dt><span class="section"><a href="dists/bernoulli_dist.html">Bernoulli
Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/binomial_dist.html">
- Binomial Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/cauchy_dist.html"> Cauchy-Lorentz
+<dt><span class="section"><a href="dists/beta_dist.html">Beta
+ Distribution</a></span></dt>
+<dt><span class="section"><a href="dists/binomial_dist.html">Binomial
+ Distribution</a></span></dt>
+<dt><span class="section"><a href="dists/cauchy_dist.html">Cauchy-Lorentz
Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/chi_squared_dist.html">
- Chi Squared Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/exp_dist.html"> Exponential
+<dt><span class="section"><a href="dists/chi_squared_dist.html">Chi
+ Squared Distribution</a></span></dt>
+<dt><span class="section"><a href="dists/exp_dist.html">Exponential
Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/extreme_dist.html"> Extreme
+<dt><span class="section"><a href="dists/extreme_dist.html">Extreme
Value Distribution</a></span></dt>
-<dt><span class="section"> F Distribution</span></dt>
-<dt><span class="section"><a href="dists/gamma_dist.html"> Gamma
+<dt><span class="section">F Distribution</span></dt>
+<dt><span class="section"><a href="dists/gamma_dist.html">Gamma
(and Erlang) Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/logistic_dist.html">
- Logistic Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/lognormal_dist.html">
- Log Normal Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/negative_binomial_dist.html">
- Negative Binomial Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/nc_beta_dist.html"> Noncentral
+<dt><span class="section"><a href="dists/logistic_dist.html">Logistic
+ Distribution</a></span></dt>
+<dt><span class="section"><a href="dists/lognormal_dist.html">Log
+ Normal Distribution</a></span></dt>
+<dt><span class="section"><a href="dists/negative_binomial_dist.html">Negative
+ Binomial Distribution</a></span></dt>
+<dt><span class="section"><a href="dists/nc_beta_dist.html">Noncentral
Beta Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/nc_chi_squared_dist.html">
- Noncentral Chi-Squared Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/nc_f_dist.html"> Noncentral
+<dt><span class="section"><a href="dists/nc_chi_squared_dist.html">Noncentral
+ Chi-Squared Distribution</a></span></dt>
+<dt><span class="section"><a href="dists/nc_f_dist.html">Noncentral
F Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/nc_t_dist.html"> Noncentral
+<dt><span class="section"><a href="dists/nc_t_dist.html">Noncentral
T Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/normal_dist.html"> Normal
+<dt><span class="section"><a href="dists/normal_dist.html">Normal
(Gaussian) Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/pareto.html"> Pareto
+<dt><span class="section">Pareto Distribution</span></dt>
+<dt><span class="section"><a href="dists/poisson_dist.html">Poisson
Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/poisson_dist.html"> Poisson
+<dt><span class="section"><a href="dists/rayleigh.html">Rayleigh
Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/rayleigh.html"> Rayleigh
+<dt><span class="section"><a href="dists/students_t_dist.html">Students
+ t Distribution</a></span></dt>
+<dt><span class="section"><a href="dists/triangular_dist.html">Triangular
Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/students_t_dist.html">
- Students t Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/triangular_dist.html">
- Triangular Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/weibull.html"> Weibull
+<dt><span class="section"><a href="dists/weibull.html">Weibull
Distribution</a></span></dt>
-<dt><span class="section"><a href="dists/uniform_dist.html"> Uniform
+<dt><span class="section"><a href="dists/uniform_dist.html">Uniform
Distribution</a></span></dt>
</dl></div>
</div>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/bernoulli_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/bernoulli_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/bernoulli_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,8 +17,8 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist"></a><a class="link" href="bernoulli_dist.html" title="Bernoulli Distribution">
- Bernoulli Distribution</a>
+<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist"></a><a class="link" href="bernoulli_dist.html" title="Bernoulli Distribution">Bernoulli
+ Distribution</a>
</h5></div></div></div>
<p>
@@ -80,7 +80,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/bernoulli_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.member_functions"></a><h5>
-<a name="id1083458"></a>
+<a name="id1083357"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.member_functions">Member
Functions</a>
</h5>
@@ -96,7 +96,7 @@
Returns the <span class="emphasis"><em>success_fraction</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.non_member_accessors"></a><h5>
-<a name="id1083537"></a>
+<a name="id1083436"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -121,7 +121,7 @@
exception and make an error message available.
</p>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.accuracy"></a><h5>
-<a name="id1083640"></a>
+<a name="id1083540"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -129,7 +129,7 @@
and so should have errors within an epsilon or two.
</p>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.implementation"></a><h5>
-<a name="id1083662"></a>
+<a name="id1083561"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.implementation">Implementation</a>
</h5>
<p>
@@ -320,7 +320,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.bernoulli_dist.references"></a><h5>
-<a name="id1083987"></a>
+<a name="id1083886"></a>
<a class="link" href="bernoulli_dist.html#math_toolkit.dist.dist_ref.dists.bernoulli_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/beta_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/beta_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/beta_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.beta_dist"></a><a class="link" href="beta_dist.html" title="Beta Distribution"> Beta
+<a name="math_toolkit.dist.dist_ref.dists.beta_dist"></a><a class="link" href="beta_dist.html" title="Beta Distribution">Beta
Distribution</a>
</h5></div></div></div>
<p>
@@ -126,12 +126,12 @@
from the centre (where x = half).
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.member_functions"></a><h5>
-<a name="id1084813"></a>
+<a name="id1084711"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.member_functions">Member
Functions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.constructor"></a><h6>
-<a name="id1084830"></a>
+<a name="id1084728"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.constructor">Constructor</a>
</h6>
<pre class="programlisting"><span class="identifier">beta_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">alpha</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">beta</span><span class="special">);</span>
@@ -158,7 +158,7 @@
yellow in the graph above).
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.parameter_accessors"></a><h6>
-<a name="id1086263"></a>
+<a name="id1084843"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.parameter_accessors">Parameter
Accessors</a>
</h6>
@@ -182,7 +182,7 @@
</span><span class="identifier">assert</span><span class="special">(</span><span class="identifier">mybeta</span><span class="special">.</span><span class="identifier">beta</span><span class="special">()</span> <span class="special">==</span> <span class="number">5.</span><span class="special">);</span> <span class="comment">// mybeta.beta() returns 5
</span></pre>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.parameter_estimators"></a><h5>
-<a name="id1086468"></a>
+<a name="id1085048"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.parameter_estimators">Parameter
Estimators</a>
</h5>
@@ -235,7 +235,7 @@
Returns the value of β that gives: <code class="computeroutput"><span class="identifier">cdf</span><span class="special">(</span><span class="identifier">beta_distribution</span><span class="special"><</span><span class="identifier">RealType</span><span class="special">>(</span><span class="identifier">alpha</span><span class="special">,</span> <span class="identifier">beta</span><span class="special">),</span> <span class="identifier">x</span><span class="special">)</span> <span class="special">==</span> <span class="identifier">probability</span></code>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.non_member_accessor_functions"></a><h5>
-<a name="id1086920"></a>
+<a name="id1087706"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.non_member_accessor_functions">Non-member
Accessor Functions</a>
</h5>
@@ -257,7 +257,7 @@
Mathworld</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.applications"></a><h5>
-<a name="id1087024"></a>
+<a name="id1087809"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.applications">Applications</a>
</h5>
<p>
@@ -270,7 +270,7 @@
statistical inference</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.related_distributions"></a><h5>
-<a name="id1087049"></a>
+<a name="id1087834"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.related_distributions">Related
distributions</a>
</h5>
@@ -296,7 +296,7 @@
Distribution</a> with its p parameter set to x.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.accuracy"></a><h5>
-<a name="id1087096"></a>
+<a name="id1087881"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -308,7 +308,7 @@
please refer to these functions for information on accuracy.
</p>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.implementation"></a><h5>
-<a name="id1087140"></a>
+<a name="id1087925"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.implementation">Implementation</a>
</h5>
<p>
@@ -493,8 +493,6 @@
</p>
</td>
<td>
- <p>
- </p>
</td>
</tr>
<tr>
@@ -589,7 +587,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.beta_dist.references"></a><h5>
-<a name="id1088170"></a>
+<a name="id1088951"></a>
<a class="link" href="beta_dist.html#math_toolkit.dist.dist_ref.dists.beta_dist.references">References</a>
</h5>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/binomial_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,8 +17,8 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.binomial_dist"></a><a class="link" href="binomial_dist.html" title="Binomial Distribution">
- Binomial Distribution</a>
+<a name="math_toolkit.dist.dist_ref.dists.binomial_dist"></a><a class="link" href="binomial_dist.html" title="Binomial Distribution">Binomial
+ Distribution</a>
</h5></div></div></div>
<p>
@@ -120,8 +120,6 @@
<p>
<span class="inlinemediaobject"><img src="../../../../../graphs/binomial_pdf_2.png" align="middle"></span>
</p>
-<p>
- </p>
<div class="caution"><table border="0" summary="Caution">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Caution]" src="../../../../images/caution.png"></td>
@@ -129,43 +127,39 @@
</tr>
<tr><td align="left" valign="top">
<p>
- The Binomial distribution is a discrete distribution: internally
- functions like the <code class="computeroutput"><span class="identifier">cdf</span></code>
- and <code class="computeroutput"><span class="identifier">pdf</span></code> are treated
- "as if" they are continuous functions, but in reality the
- results returned from these functions only have meaning if an integer
- value is provided for the random variate argument.
- </p>
-<p>
- The quantile function will by default return an integer result that
- has been <span class="emphasis"><em>rounded outwards</em></span>. That is to say lower
- quantiles (where the probability is less than 0.5) are rounded downward,
- and upper quantiles (where the probability is greater than 0.5) are
- rounded upwards. This behaviour ensures that if an X% quantile is
- requested, then <span class="emphasis"><em>at least</em></span> the requested coverage
- will be present in the central region, and <span class="emphasis"><em>no more than</em></span>
- the requested coverage will be present in the tails.
- </p>
-<p>
- This behaviour can be changed so that the quantile functions are
- rounded differently, or even return a real-valued result using <a class="link" href="../../../policy/pol_overview.html" title="Policy Overview">Policies</a>. It is
- strongly recommended that you read the tutorial <a class="link" href="../../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
- Quantiles of Discrete Distributions</a> before using the quantile
- function on the Binomial distribution. The <a class="link" href="../../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
- docs</a> describe how to change the rounding policy for these
- distributions.
- </p>
+ The Binomial distribution is a discrete distribution: internally functions
+ like the <code class="computeroutput"><span class="identifier">cdf</span></code> and <code class="computeroutput"><span class="identifier">pdf</span></code> are treated "as if"
+ they are continuous functions, but in reality the results returned
+ from these functions only have meaning if an integer value is provided
+ for the random variate argument.
+ </p>
+<p>
+ The quantile function will by default return an integer result that
+ has been <span class="emphasis"><em>rounded outwards</em></span>. That is to say lower
+ quantiles (where the probability is less than 0.5) are rounded downward,
+ and upper quantiles (where the probability is greater than 0.5) are
+ rounded upwards. This behaviour ensures that if an X% quantile is requested,
+ then <span class="emphasis"><em>at least</em></span> the requested coverage will be present
+ in the central region, and <span class="emphasis"><em>no more than</em></span> the requested
+ coverage will be present in the tails.
+ </p>
+<p>
+ This behaviour can be changed so that the quantile functions are rounded
+ differently, or even return a real-valued result using <a class="link" href="../../../policy/pol_overview.html" title="Policy Overview">Policies</a>.
+ It is strongly recommended that you read the tutorial <a class="link" href="../../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
+ Quantiles of Discrete Distributions</a> before using the quantile
+ function on the Binomial distribution. The <a class="link" href="../../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
+ docs</a> describe how to change the rounding policy for these distributions.
+ </p>
</td></tr>
</table></div>
-<p>
- </p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.member_functions"></a><h5>
-<a name="id1089818"></a>
+<a name="id1090546"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.member_functions">Member
Functions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.construct"></a><h6>
-<a name="id1089837"></a>
+<a name="id1090566"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.construct">Construct</a>
</h6>
<pre class="programlisting"><span class="identifier">binomial_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">n</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">p</span><span class="special">);</span>
@@ -182,7 +176,7 @@
otherwise calls <a class="link" href="../../../main_overview/error_handling.html#domain_error">domain_error</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.accessors"></a><h6>
-<a name="id1089956"></a>
+<a name="id1090684"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.accessors">Accessors</a>
</h6>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">success_fraction</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span>
@@ -198,7 +192,7 @@
was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.lower_bound_on_the_success_fraction"></a><h6>
-<a name="id1090037"></a>
+<a name="id1090765"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.lower_bound_on_the_success_fraction">Lower
Bound on the Success Fraction</a>
</h6>
@@ -304,7 +298,7 @@
limits illustrated in the case of the binomial. Biometrika 26 404-413.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.upper_bound_on_the_success_fraction"></a><h6>
-<a name="id1090491"></a>
+<a name="id1091220"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.upper_bound_on_the_success_fraction">Upper
Bound on the Success Fraction</a>
</h6>
@@ -382,7 +376,7 @@
</td></tr>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_number_of_trials_required_for_a_certain_number_of_successes"></a><h6>
-<a name="id1090807"></a>
+<a name="id1091535"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_number_of_trials_required_for_a_certain_number_of_successes">Estimating
the Number of Trials Required for a Certain Number of Successes</a>
</h6>
@@ -424,7 +418,7 @@
of seeing 10 events that occur with frequency one half.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_maximum_number_of_trials_to_ensure_no_more_than_a_certain_number_of_successes"></a><h6>
-<a name="id1091009"></a>
+<a name="id1091737"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.estimating_the_maximum_number_of_trials_to_ensure_no_more_than_a_certain_number_of_successes">Estimating
the Maximum Number of Trials to Ensure no more than a Certain Number
of Successes</a>
@@ -472,7 +466,7 @@
Worked Example.</a>
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.non_member_accessors"></a><h5>
-<a name="id1091220"></a>
+<a name="id1091948"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -497,7 +491,7 @@
in the context of this distribution:
</p>
<div class="table">
-<a name="id1091879"></a><p class="title"><b>Table 11. Meaning of the non-member accessors</b></p>
+<a name="id1092080"></a><p class="title"><b>Table 11. Meaning of the non-member accessors</b></p>
<div class="table-contents"><table class="table" summary="Meaning of the non-member accessors">
<colgroup>
<col>
@@ -621,7 +615,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.dist.dist_ref.dists.binomial_dist.examples"></a><h5>
-<a name="id1092302"></a>
+<a name="id1092730"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.examples">Examples</a>
</h5>
<p>
@@ -629,7 +623,7 @@
examples</a> are available illustrating the use of the binomial distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.accuracy"></a><h5>
-<a name="id1092323"></a>
+<a name="id1092751"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -639,7 +633,7 @@
please refer to these functions for information on accuracy.
</p>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.implementation"></a><h5>
-<a name="id1092352"></a>
+<a name="id1092780"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.implementation">Implementation</a>
</h5>
<p>
@@ -883,7 +877,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.binomial_dist.references"></a><h5>
-<a name="id1093397"></a>
+<a name="id1093825"></a>
<a class="link" href="binomial_dist.html#math_toolkit.dist.dist_ref.dists.binomial_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/cauchy_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/cauchy_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/cauchy_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist"></a><a class="link" href="cauchy_dist.html" title="Cauchy-Lorentz Distribution"> Cauchy-Lorentz
+<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist"></a><a class="link" href="cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy-Lorentz
Distribution</a>
</h5></div></div></div>
<p>
@@ -81,7 +81,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/cauchy_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.member_functions"></a><h5>
-<a name="id1093916"></a>
+<a name="id1094344"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.member_functions">Member
Functions</a>
</h5>
@@ -107,7 +107,7 @@
Returns the scale parameter of the distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.non_member_accessors"></a><h5>
-<a name="id1095791"></a>
+<a name="id1094492"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -141,7 +141,7 @@
The domain of the random variable is [-[max_value], +[min_value]].
</p>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.accuracy"></a><h5>
-<a name="id1095934"></a>
+<a name="id1094635"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -150,7 +150,7 @@
have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.implementation"></a><h5>
-<a name="id1095968"></a>
+<a name="id1094669"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.implementation">Implementation</a>
</h5>
<p>
@@ -266,7 +266,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.cauchy_dist.references"></a><h5>
-<a name="id1096196"></a>
+<a name="id1096828"></a>
<a class="link" href="cauchy_dist.html#math_toolkit.dist.dist_ref.dists.cauchy_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/chi_squared_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/chi_squared_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/chi_squared_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,8 +17,8 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist"></a><a class="link" href="chi_squared_dist.html" title="Chi Squared Distribution">
- Chi Squared Distribution</a>
+<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist"></a><a class="link" href="chi_squared_dist.html" title="Chi Squared Distribution">Chi
+ Squared Distribution</a>
</h5></div></div></div>
<p>
@@ -80,7 +80,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/chi_squared_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.member_functions"></a><h5>
-<a name="id1096761"></a>
+<a name="id1097393"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.member_functions">Member
Functions</a>
</h5>
@@ -163,7 +163,7 @@
NIST Engineering Statistics Handbook, Section 7.2.3.2</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.non_member_accessors"></a><h5>
-<a name="id1097092"></a>
+<a name="id1097725"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -189,7 +189,7 @@
The domain of the random variable is [0, +∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.examples"></a><h5>
-<a name="id1097195"></a>
+<a name="id1097828"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.examples">Examples</a>
</h5>
<p>
@@ -197,7 +197,7 @@
are available illustrating the use of the Chi Squared Distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.accuracy"></a><h5>
-<a name="id1097222"></a>
+<a name="id1097854"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -205,7 +205,7 @@
gamma functions</a>: please refer to the accuracy data for those functions.
</p>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.implementation"></a><h5>
-<a name="id1097246"></a>
+<a name="id1097878"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.implementation">Implementation</a>
</h5>
<p>
@@ -372,7 +372,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.chi_squared_dist.references"></a><h5>
-<a name="id1097536"></a>
+<a name="id1098169"></a>
<a class="link" href="chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.chi_squared_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/exp_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/exp_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/exp_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.exp_dist"></a><a class="link" href="exp_dist.html" title="Exponential Distribution"> Exponential
+<a name="math_toolkit.dist.dist_ref.dists.exp_dist"></a><a class="link" href="exp_dist.html" title="Exponential Distribution">Exponential
Distribution</a>
</h5></div></div></div>
<p>
@@ -64,7 +64,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/exponential_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.member_functions"></a><h5>
-<a name="id1098063"></a>
+<a name="id1098603"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.member_functions">Member
Functions</a>
</h5>
@@ -84,7 +84,7 @@
Accessor function returns the lambda parameter of the distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.non_member_accessors"></a><h5>
-<a name="id1098165"></a>
+<a name="id1098705"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -104,7 +104,7 @@
The domain of the random variable is [0, +∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.accuracy"></a><h5>
-<a name="id1098265"></a>
+<a name="id1098805"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -115,7 +115,7 @@
should have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.implementation"></a><h5>
-<a name="id1098313"></a>
+<a name="id1099150"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.implementation">Implementation</a>
</h5>
<p>
@@ -276,7 +276,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.exp_dist.references"></a><h5>
-<a name="id1098576"></a>
+<a name="id1099413"></a>
<a class="link" href="exp_dist.html#math_toolkit.dist.dist_ref.dists.exp_dist.references">references</a>
</h5>
<div class="itemizedlist"><ul type="disc">
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/extreme_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/extreme_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/extreme_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.extreme_dist"></a><a class="link" href="extreme_dist.html" title="Extreme Value Distribution"> Extreme
+<a name="math_toolkit.dist.dist_ref.dists.extreme_dist"></a><a class="link" href="extreme_dist.html" title="Extreme Value Distribution">Extreme
Value Distribution</a>
</h5></div></div></div>
<p>
@@ -93,7 +93,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/extreme_value_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist.member_functions"></a><h5>
-<a name="id1099137"></a>
+<a name="id1099975"></a>
<a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.member_functions">Member
Functions</a>
</h5>
@@ -118,7 +118,7 @@
Returns the scale parameter of the distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist.non_member_accessors"></a><h5>
-<a name="id1099294"></a>
+<a name="id1100132"></a>
<a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -138,7 +138,7 @@
The domain of the random parameter is [-∞, +∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist.accuracy"></a><h5>
-<a name="id1099392"></a>
+<a name="id1100229"></a>
<a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -147,7 +147,7 @@
very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.extreme_dist.implementation"></a><h5>
-<a name="id1099425"></a>
+<a name="id1100263"></a>
<a class="link" href="extreme_dist.html#math_toolkit.dist.dist_ref.dists.extreme_dist.implementation">Implementation</a>
</h5>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/f_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/f_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/f_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.f_dist"></a><a class="link" href="f_dist.html" title="F Distribution"> F Distribution</a>
+<a name="math_toolkit.dist.dist_ref.dists.f_dist"></a><a class="link" href="f_dist.html" title="F Distribution">F Distribution</a>
</h5></div></div></div>
<p>
@@ -73,7 +73,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/fisher_f_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.member_functions"></a><h5>
-<a name="id1100251"></a>
+<a name="id1101020"></a>
<a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.member_functions">Member
Functions</a>
</h5>
@@ -99,7 +99,7 @@
Returns the denominator degrees of freedom parameter of the distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.non_member_accessors"></a><h5>
-<a name="id1100406"></a>
+<a name="id1101175"></a>
<a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -119,7 +119,7 @@
The domain of the random variable is [0, +∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.examples"></a><h5>
-<a name="id1100506"></a>
+<a name="id1101274"></a>
<a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.examples">Examples</a>
</h5>
<p>
@@ -127,7 +127,7 @@
are available illustrating the use of the F Distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.accuracy"></a><h5>
-<a name="id1100527"></a>
+<a name="id1101569"></a>
<a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -136,7 +136,7 @@
refer to those functions for accuracy data.
</p>
<a name="math_toolkit.dist.dist_ref.dists.f_dist.implementation"></a><h5>
-<a name="id1100554"></a>
+<a name="id1101596"></a>
<a class="link" href="f_dist.html#math_toolkit.dist.dist_ref.dists.f_dist.implementation">Implementation</a>
</h5>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/gamma_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/gamma_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/gamma_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.gamma_dist"></a><a class="link" href="gamma_dist.html" title="Gamma (and Erlang) Distribution"> Gamma
+<a name="math_toolkit.dist.dist_ref.dists.gamma_dist"></a><a class="link" href="gamma_dist.html" title="Gamma (and Erlang) Distribution">Gamma
(and Erlang) Distribution</a>
</h5></div></div></div>
<p>
@@ -130,7 +130,7 @@
than a dedicated Erlang Distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist.member_functions"></a><h5>
-<a name="id1101593"></a>
+<a name="id1102635"></a>
<a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.member_functions">Member
Functions</a>
</h5>
@@ -155,7 +155,7 @@
Returns the <span class="emphasis"><em>scale</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist.non_member_accessors"></a><h5>
-<a name="id1101739"></a>
+<a name="id1102781"></a>
<a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -175,7 +175,7 @@
The domain of the random variable is [0,+∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist.accuracy"></a><h5>
-<a name="id1101836"></a>
+<a name="id1102879"></a>
<a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -187,7 +187,7 @@
refer to the accuracy data for those functions for more information.
</p>
<a name="math_toolkit.dist.dist_ref.dists.gamma_dist.implementation"></a><h5>
-<a name="id1101875"></a>
+<a name="id1102917"></a>
<a class="link" href="gamma_dist.html#math_toolkit.dist.dist_ref.dists.gamma_dist.implementation">Implementation</a>
</h5>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/logistic_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/logistic_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/logistic_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,8 +17,8 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.logistic_dist"></a><a class="link" href="logistic_dist.html" title="Logistic Distribution">
- Logistic Distribution</a>
+<a name="math_toolkit.dist.dist_ref.dists.logistic_dist"></a><a class="link" href="logistic_dist.html" title="Logistic Distribution">Logistic
+ Distribution</a>
</h5></div></div></div>
<p>
@@ -65,7 +65,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/logistic_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.logistic_dist.member_functions"></a><h5>
-<a name="id1105216"></a>
+<a name="id1103665"></a>
<a class="link" href="logistic_dist.html#math_toolkit.dist.dist_ref.dists.logistic_dist.member_functions">Member
Functions</a>
</h5>
@@ -91,7 +91,7 @@
Returns the scale of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.logistic_dist.non_member_accessors"></a><h5>
-<a name="id1105381"></a>
+<a name="id1105142"></a>
<a class="link" href="logistic_dist.html#math_toolkit.dist.dist_ref.dists.logistic_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -121,7 +121,7 @@
and +<a class="link" href="../../../main_overview/error_handling.html#overflow_error">overflow_error</a> respectively.
</p>
<a name="math_toolkit.dist.dist_ref.dists.logistic_dist.accuracy"></a><h5>
-<a name="id1105530"></a>
+<a name="id1105290"></a>
<a class="link" href="logistic_dist.html#math_toolkit.dist.dist_ref.dists.logistic_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -133,7 +133,7 @@
can be guarenteed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.logistic_dist.implementation"></a><h5>
-<a name="id1105582"></a>
+<a name="id1105342"></a>
<a class="link" href="logistic_dist.html#math_toolkit.dist.dist_ref.dists.logistic_dist.implementation">Implementation</a>
</h5>
<div class="informaltable"><table class="table">
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/lognormal_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/lognormal_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/lognormal_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,8 +17,8 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist"></a><a class="link" href="lognormal_dist.html" title="Log Normal Distribution">
- Log Normal Distribution</a>
+<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist"></a><a class="link" href="lognormal_dist.html" title="Log Normal Distribution">Log
+ Normal Distribution</a>
</h5></div></div></div>
<p>
@@ -81,7 +81,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/lognormal_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist.member_functions"></a><h5>
-<a name="id1106329"></a>
+<a name="id1106090"></a>
<a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.member_functions">Member
Functions</a>
</h5>
@@ -114,7 +114,7 @@
Returns the <span class="emphasis"><em>scale</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist.non_member_accessors"></a><h5>
-<a name="id1106490"></a>
+<a name="id1106250"></a>
<a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -134,7 +134,7 @@
The domain of the random variable is [0,+∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist.accuracy"></a><h5>
-<a name="id1106590"></a>
+<a name="id1106350"></a>
<a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -143,7 +143,7 @@
function</a>, and as such should have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.lognormal_dist.implementation"></a><h5>
-<a name="id1106616"></a>
+<a name="id1106376"></a>
<a class="link" href="lognormal_dist.html#math_toolkit.dist.dist_ref.dists.lognormal_dist.implementation">Implementation</a>
</h5>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_beta_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_beta_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_beta_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist"></a><a class="link" href="nc_beta_dist.html" title="Noncentral Beta Distribution"> Noncentral
+<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist"></a><a class="link" href="nc_beta_dist.html" title="Noncentral Beta Distribution">Noncentral
Beta Distribution</a>
</h5></div></div></div>
<p>
@@ -89,7 +89,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/nc_beta_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.member_functions"></a><h5>
-<a name="id1111519"></a>
+<a name="id1111882"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.member_functions">Member
Functions</a>
</h5>
@@ -121,7 +121,7 @@
was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.non_member_accessors"></a><h5>
-<a name="id1111703"></a>
+<a name="id1112066"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -145,7 +145,7 @@
The domain of the random variable is [0, 1].
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.accuracy"></a><h5>
-<a name="id1111805"></a>
+<a name="id1112168"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -161,7 +161,7 @@
zero error</a>.
</p>
<div class="table">
-<a name="id1111840"></a><p class="title"><b>Table 13. Errors In CDF of the Noncentral Beta</b></p>
+<a name="id1112203"></a><p class="title"><b>Table 13. Errors In CDF of the Noncentral Beta</b></p>
<div class="table-contents"><table class="table" summary="Errors In CDF of the Noncentral Beta">
<colgroup>
<col>
@@ -288,7 +288,7 @@
functions are broadly similar.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.tests"></a><h5>
-<a name="id1112039"></a>
+<a name="id1112402"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.tests">Tests</a>
</h5>
<p>
@@ -300,7 +300,7 @@
tests.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_beta_dist.implementation"></a><h5>
-<a name="id1112063"></a>
+<a name="id1112426"></a>
<a class="link" href="nc_beta_dist.html#math_toolkit.dist.dist_ref.dists.nc_beta_dist.implementation">Implementation</a>
</h5>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_chi_squared_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,8 +17,8 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist"></a><a class="link" href="nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution">
- Noncentral Chi-Squared Distribution</a>
+<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist"></a><a class="link" href="nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution">Noncentral
+ Chi-Squared Distribution</a>
</h5></div></div></div>
<p>
@@ -103,7 +103,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/nccs_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.member_functions"></a><h5>
-<a name="id1113600"></a>
+<a name="id1113661"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.member_functions">Member
Functions</a>
</h5>
@@ -176,7 +176,7 @@
<span class="special">==</span> <span class="identifier">q</span></code>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.non_member_accessors"></a><h5>
-<a name="id1114499"></a>
+<a name="id1114560"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -196,7 +196,7 @@
The domain of the random variable is [0, +∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.examples"></a><h5>
-<a name="id1114598"></a>
+<a name="id1114660"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.examples">Examples</a>
</h5>
<p>
@@ -204,7 +204,7 @@
example</a> for the noncentral chi-squared distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.accuracy"></a><h5>
-<a name="id1114625"></a>
+<a name="id1114686"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -216,7 +216,7 @@
zero error</a>.
</p>
<div class="table">
-<a name="id1114655"></a><p class="title"><b>Table 14. Errors In CDF of the Noncentral Chi-Squared</b></p>
+<a name="id1114716"></a><p class="title"><b>Table 14. Errors In CDF of the Noncentral Chi-Squared</b></p>
<div class="table-contents"><table class="table" summary="Errors In CDF of the Noncentral Chi-Squared">
<colgroup>
<col>
@@ -352,7 +352,7 @@
produce an accuracy greater than the square root of the machine epsilon.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.tests"></a><h5>
-<a name="id1116006"></a>
+<a name="id1114932"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.tests">Tests</a>
</h5>
<p>
@@ -366,7 +366,7 @@
to at least 50 decimal digits - and is the used for our accuracy tests.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.implementation"></a><h5>
-<a name="id1116026"></a>
+<a name="id1114951"></a>
<a class="link" href="nc_chi_squared_dist.html#math_toolkit.dist.dist_ref.dists.nc_chi_squared_dist.implementation">Implementation</a>
</h5>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_f_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_f_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_f_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist"></a><a class="link" href="nc_f_dist.html" title="Noncentral F Distribution"> Noncentral
+<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist"></a><a class="link" href="nc_f_dist.html" title="Noncentral F Distribution">Noncentral
F Distribution</a>
</h5></div></div></div>
<p>
@@ -88,7 +88,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/nc_f_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.member_functions"></a><h5>
-<a name="id1116879"></a>
+<a name="id1116985"></a>
<a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.member_functions">Member
Functions</a>
</h5>
@@ -120,7 +120,7 @@
which this object was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.non_member_accessors"></a><h5>
-<a name="id1117065"></a>
+<a name="id1117171"></a>
<a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -140,7 +140,7 @@
The domain of the random variable is [0, +∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.accuracy"></a><h5>
-<a name="id1117164"></a>
+<a name="id1117271"></a>
<a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -148,7 +148,7 @@
beta distribution</a>: refer to that distribution for accuracy data.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.tests"></a><h5>
-<a name="id1117187"></a>
+<a name="id1117294"></a>
<a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.tests">Tests</a>
</h5>
<p>
@@ -157,7 +157,7 @@
Math library statistical package</a> and its pbeta and dbeta functions.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_f_dist.implementation"></a><h5>
-<a name="id1117211"></a>
+<a name="id1117318"></a>
<a class="link" href="nc_f_dist.html#math_toolkit.dist.dist_ref.dists.nc_f_dist.implementation">Implementation</a>
</h5>
<p>
@@ -227,8 +227,6 @@
<p>
y = x * v1 / v2
</p>
- <p>
- </p>
</td>
</tr>
<tr>
@@ -251,8 +249,6 @@
<p>
y = x * v1 / v2
</p>
- <p>
- </p>
</td>
</tr>
<tr>
@@ -283,8 +279,6 @@
<p>
is the noncentral beta quantile.
</p>
- <p>
- </p>
</td>
</tr>
<tr>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_t_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_t_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/nc_t_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist"></a><a class="link" href="nc_t_dist.html" title="Noncentral T Distribution"> Noncentral
+<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist"></a><a class="link" href="nc_t_dist.html" title="Noncentral T Distribution">Noncentral
T Distribution</a>
</h5></div></div></div>
<p>
@@ -78,7 +78,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/nc_t_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.member_functions"></a><h5>
-<a name="id1118094"></a>
+<a name="id1118190"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.member_functions">Member
Functions</a>
</h5>
@@ -104,7 +104,7 @@
which this object was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.non_member_accessors"></a><h5>
-<a name="id1119977"></a>
+<a name="id1118328"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -124,7 +124,7 @@
The domain of the random variable is [-∞, +∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.accuracy"></a><h5>
-<a name="id1120077"></a>
+<a name="id1118428"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -134,7 +134,7 @@
one shown will have <a class="link" href="../../../backgrounders/relative_error.html#zero_error">effectively zero error</a>.
</p>
<div class="table">
-<a name="id1120100"></a><p class="title"><b>Table 15. Errors In CDF of the Noncentral T Distribution</b></p>
+<a name="id1118450"></a><p class="title"><b>Table 15. Errors In CDF of the Noncentral T Distribution</b></p>
<div class="table-contents"><table class="table" summary="Errors In CDF of the Noncentral T Distribution">
<colgroup>
<col>
@@ -248,7 +248,7 @@
epsilon.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.tests"></a><h5>
-<a name="id1120269"></a>
+<a name="id1121283"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.tests">Tests</a>
</h5>
<p>
@@ -263,7 +263,7 @@
least 50 decimal places.
</p>
<a name="math_toolkit.dist.dist_ref.dists.nc_t_dist.implementation"></a><h5>
-<a name="id1120288"></a>
+<a name="id1121302"></a>
<a class="link" href="nc_t_dist.html#math_toolkit.dist.dist_ref.dists.nc_t_dist.implementation">Implementation</a>
</h5>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/negative_binomial_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,8 +17,8 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist"></a><a class="link" href="negative_binomial_dist.html" title="Negative Binomial Distribution">
- Negative Binomial Distribution</a>
+<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist"></a><a class="link" href="negative_binomial_dist.html" title="Negative Binomial Distribution">Negative
+ Binomial Distribution</a>
</h5></div></div></div>
<p>
@@ -116,7 +116,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/negative_binomial_pdf_2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.related_distributions"></a><h5>
-<a name="id1107844"></a>
+<a name="id1108136"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.related_distributions">Related
Distributions</a>
</h5>
@@ -153,8 +153,6 @@
<p>
poisson(λ) = lim <sub>r → ∞</sub> negative_binomial(r, r / (λ + r)))
</p>
-<p>
- </p>
<div class="caution"><table border="0" summary="Caution">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Caution]" src="../../../../images/caution.png"></td>
@@ -162,43 +160,40 @@
</tr>
<tr><td align="left" valign="top">
<p>
- The Negative Binomial distribution is a discrete distribution: internally
- functions like the <code class="computeroutput"><span class="identifier">cdf</span></code>
- and <code class="computeroutput"><span class="identifier">pdf</span></code> are treated
- "as if" they are continuous functions, but in reality the
- results returned from these functions only have meaning if an integer
- value is provided for the random variate argument.
- </p>
-<p>
- The quantile function will by default return an integer result that
- has been <span class="emphasis"><em>rounded outwards</em></span>. That is to say lower
- quantiles (where the probability is less than 0.5) are rounded downward,
- and upper quantiles (where the probability is greater than 0.5) are
- rounded upwards. This behaviour ensures that if an X% quantile is
- requested, then <span class="emphasis"><em>at least</em></span> the requested coverage
- will be present in the central region, and <span class="emphasis"><em>no more than</em></span>
- the requested coverage will be present in the tails.
- </p>
-<p>
- This behaviour can be changed so that the quantile functions are
- rounded differently, or even return a real-valued result using <a class="link" href="../../../policy/pol_overview.html" title="Policy Overview">Policies</a>. It is
- strongly recommended that you read the tutorial <a class="link" href="../../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
- Quantiles of Discrete Distributions</a> before using the quantile
- function on the Negative Binomial distribution. The <a class="link" href="../../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
- docs</a> describe how to change the rounding policy for these
- distributions.
- </p>
+ The Negative Binomial distribution is a discrete distribution: internally
+ functions like the <code class="computeroutput"><span class="identifier">cdf</span></code>
+ and <code class="computeroutput"><span class="identifier">pdf</span></code> are treated
+ "as if" they are continuous functions, but in reality the
+ results returned from these functions only have meaning if an integer
+ value is provided for the random variate argument.
+ </p>
+<p>
+ The quantile function will by default return an integer result that
+ has been <span class="emphasis"><em>rounded outwards</em></span>. That is to say lower
+ quantiles (where the probability is less than 0.5) are rounded downward,
+ and upper quantiles (where the probability is greater than 0.5) are
+ rounded upwards. This behaviour ensures that if an X% quantile is requested,
+ then <span class="emphasis"><em>at least</em></span> the requested coverage will be present
+ in the central region, and <span class="emphasis"><em>no more than</em></span> the requested
+ coverage will be present in the tails.
+ </p>
+<p>
+ This behaviour can be changed so that the quantile functions are rounded
+ differently, or even return a real-valued result using <a class="link" href="../../../policy/pol_overview.html" title="Policy Overview">Policies</a>.
+ It is strongly recommended that you read the tutorial <a class="link" href="../../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
+ Quantiles of Discrete Distributions</a> before using the quantile
+ function on the Negative Binomial distribution. The <a class="link" href="../../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
+ docs</a> describe how to change the rounding policy for these distributions.
+ </p>
</td></tr>
</table></div>
-<p>
- </p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.member_functions"></a><h5>
-<a name="id1107956"></a>
+<a name="id1108245"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.member_functions">Member
Functions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.construct"></a><h6>
-<a name="id1107971"></a>
+<a name="id1108260"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.construct">Construct</a>
</h6>
<pre class="programlisting"><span class="identifier">negative_binomial_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">r</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">p</span><span class="special">);</span>
@@ -214,7 +209,7 @@
<span class="special"><=</span> <span class="number">1</span></code>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.accessors"></a><h6>
-<a name="id1108079"></a>
+<a name="id1108368"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.accessors">Accessors</a>
</h6>
<pre class="programlisting"><span class="identifier">RealType</span> <span class="identifier">success_fraction</span><span class="special">()</span> <span class="keyword">const</span><span class="special">;</span> <span class="comment">// successes / trials (0 <= p <= 1)
@@ -230,7 +225,7 @@
was constructed.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.lower_bound_on_parameter_p"></a><h6>
-<a name="id1108164"></a>
+<a name="id1108453"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.lower_bound_on_parameter_p">Lower
Bound on Parameter p</a>
</h6>
@@ -291,7 +286,7 @@
vol. 48, no3, 605-621</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.upper_bound_on_parameter_p"></a><h6>
-<a name="id1108430"></a>
+<a name="id1108719"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.upper_bound_on_parameter_p">Upper
Bound on Parameter p</a>
</h6>
@@ -351,7 +346,7 @@
vol. 48, no3, 605-621</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_at_least_a_certain_number_of_failures"></a><h6>
-<a name="id1108693"></a>
+<a name="id1108982"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_at_least_a_certain_number_of_failures">Estimating
Number of Trials to Ensure at Least a Certain Number of Failures</a>
</h6>
@@ -402,7 +397,7 @@
probability of observing k failures or fewer.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_a_maximum_number_of_failures_or_less"></a><h6>
-<a name="id1108918"></a>
+<a name="id1109207"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.estimating_number_of_trials_to_ensure_a_maximum_number_of_failures_or_less">Estimating
Number of Trials to Ensure a Maximum Number of Failures or Less</a>
</h6>
@@ -450,7 +445,7 @@
probability of observing more than k failures.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.non_member_accessors"></a><h5>
-<a name="id1109149"></a>
+<a name="id1109438"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -471,7 +466,7 @@
in the context of this distribution:
</p>
<div class="table">
-<a name="id1109243"></a><p class="title"><b>Table 12. Meaning of the non-member accessors.</b></p>
+<a name="id1109532"></a><p class="title"><b>Table 12. Meaning of the non-member accessors.</b></p>
<div class="table-contents"><table class="table" summary="Meaning of the non-member accessors.">
<colgroup>
<col>
@@ -599,7 +594,7 @@
</table></div>
</div>
<br class="table-break"><a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.accuracy"></a><h5>
-<a name="id1110109"></a>
+<a name="id1109951"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -609,7 +604,7 @@
please refer to these functions for information on accuracy.
</p>
<a name="math_toolkit.dist.dist_ref.dists.negative_binomial_dist.implementation"></a><h5>
-<a name="id1110136"></a>
+<a name="id1109977"></a>
<a class="link" href="negative_binomial_dist.html#math_toolkit.dist.dist_ref.dists.negative_binomial_dist.implementation">Implementation</a>
</h5>
<p>
@@ -820,8 +815,6 @@
</p>
</td>
<td>
- <p>
- </p>
</td>
</tr>
<tr>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/normal_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/normal_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/normal_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.normal_dist"></a><a class="link" href="normal_dist.html" title="Normal (Gaussian) Distribution"> Normal
+<a name="math_toolkit.dist.dist_ref.dists.normal_dist"></a><a class="link" href="normal_dist.html" title="Normal (Gaussian) Distribution">Normal
(Gaussian) Distribution</a>
</h5></div></div></div>
<p>
@@ -72,7 +72,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/normal_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.normal_dist.member_functions"></a><h5>
-<a name="id1121001"></a>
+<a name="id1122015"></a>
<a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.member_functions">Member
Functions</a>
</h5>
@@ -102,7 +102,7 @@
be used generically).
</p>
<a name="math_toolkit.dist.dist_ref.dists.normal_dist.non_member_accessors"></a><h5>
-<a name="id1121198"></a>
+<a name="id1122211"></a>
<a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -124,7 +124,7 @@
and complement cdf -∞ = 1 and +∞ = 0, if RealType permits.
</p>
<a name="math_toolkit.dist.dist_ref.dists.normal_dist.accuracy"></a><h5>
-<a name="id1121295"></a>
+<a name="id1122309"></a>
<a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -132,7 +132,7 @@
function</a>, and as such should have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.normal_dist.implementation"></a><h5>
-<a name="id1121319"></a>
+<a name="id1122333"></a>
<a class="link" href="normal_dist.html#math_toolkit.dist.dist_ref.dists.normal_dist.implementation">Implementation</a>
</h5>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/pareto.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,8 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.pareto"></a><a class="link" href="pareto.html" title="Pareto Distribution"> Pareto
- Distribution</a>
+<a name="math_toolkit.dist.dist_ref.dists.pareto"></a><a class="link" href="pareto.html" title="Pareto Distribution">Pareto Distribution</a>
</h5></div></div></div>
<p>
@@ -79,12 +78,12 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/pareto_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.pareto.related_distributions"></a><h5>
-<a name="id1122568"></a>
+<a name="id1123116"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.related_distributions">Related
distributions</a>
</h5>
<a name="math_toolkit.dist.dist_ref.dists.pareto.member_functions"></a><h5>
-<a name="id1122586"></a>
+<a name="id1123134"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.member_functions">Member
Functions</a>
</h5>
@@ -110,7 +109,7 @@
Returns the <span class="emphasis"><em>shape</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.pareto.non_member_accessors"></a><h5>
-<a name="id1122757"></a>
+<a name="id1123305"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -130,7 +129,7 @@
The supported domain of the random variable is [location, ∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.pareto.accuracy"></a><h5>
-<a name="id1122856"></a>
+<a name="id1124142"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.accuracy">Accuracy</a>
</h5>
<p>
@@ -140,7 +139,7 @@
to unity.
</p>
<a name="math_toolkit.dist.dist_ref.dists.pareto.implementation"></a><h5>
-<a name="id1122885"></a>
+<a name="id1124171"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.implementation">Implementation</a>
</h5>
<p>
@@ -308,7 +307,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.pareto.references"></a><h5>
-<a name="id1123190"></a>
+<a name="id1124476"></a>
<a class="link" href="pareto.html#math_toolkit.dist.dist_ref.dists.pareto.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/poisson_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/poisson_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/poisson_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.poisson_dist"></a><a class="link" href="poisson_dist.html" title="Poisson Distribution"> Poisson
+<a name="math_toolkit.dist.dist_ref.dists.poisson_dist"></a><a class="link" href="poisson_dist.html" title="Poisson Distribution">Poisson
Distribution</a>
</h5></div></div></div>
<p>
@@ -75,8 +75,6 @@
<p>
<span class="inlinemediaobject"><img src="../../../../../graphs/poisson_pdf_1.png" align="middle"></span>
</p>
-<p>
- </p>
<div class="caution"><table border="0" summary="Caution">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Caution]" src="../../../../images/caution.png"></td>
@@ -84,38 +82,34 @@
</tr>
<tr><td align="left" valign="top">
<p>
- The Poisson distribution is a discrete distribution: internally functions
- like the <code class="computeroutput"><span class="identifier">cdf</span></code> and
- <code class="computeroutput"><span class="identifier">pdf</span></code> are treated "as
- if" they are continuous functions, but in reality the results
- returned from these functions only have meaning if an integer value
- is provided for the random variate argument.
- </p>
-<p>
- The quantile function will by default return an integer result that
- has been <span class="emphasis"><em>rounded outwards</em></span>. That is to say lower
- quantiles (where the probability is less than 0.5) are rounded downward,
- and upper quantiles (where the probability is greater than 0.5) are
- rounded upwards. This behaviour ensures that if an X% quantile is
- requested, then <span class="emphasis"><em>at least</em></span> the requested coverage
- will be present in the central region, and <span class="emphasis"><em>no more than</em></span>
- the requested coverage will be present in the tails.
- </p>
-<p>
- This behaviour can be changed so that the quantile functions are
- rounded differently, or even return a real-valued result using <a class="link" href="../../../policy/pol_overview.html" title="Policy Overview">Policies</a>. It is
- strongly recommended that you read the tutorial <a class="link" href="../../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
- Quantiles of Discrete Distributions</a> before using the quantile
- function on the Poisson distribution. The <a class="link" href="../../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
- docs</a> describe how to change the rounding policy for these
- distributions.
- </p>
+ The Poisson distribution is a discrete distribution: internally functions
+ like the <code class="computeroutput"><span class="identifier">cdf</span></code> and <code class="computeroutput"><span class="identifier">pdf</span></code> are treated "as if"
+ they are continuous functions, but in reality the results returned
+ from these functions only have meaning if an integer value is provided
+ for the random variate argument.
+ </p>
+<p>
+ The quantile function will by default return an integer result that
+ has been <span class="emphasis"><em>rounded outwards</em></span>. That is to say lower
+ quantiles (where the probability is less than 0.5) are rounded downward,
+ and upper quantiles (where the probability is greater than 0.5) are
+ rounded upwards. This behaviour ensures that if an X% quantile is requested,
+ then <span class="emphasis"><em>at least</em></span> the requested coverage will be present
+ in the central region, and <span class="emphasis"><em>no more than</em></span> the requested
+ coverage will be present in the tails.
+ </p>
+<p>
+ This behaviour can be changed so that the quantile functions are rounded
+ differently, or even return a real-valued result using <a class="link" href="../../../policy/pol_overview.html" title="Policy Overview">Policies</a>.
+ It is strongly recommended that you read the tutorial <a class="link" href="../../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
+ Quantiles of Discrete Distributions</a> before using the quantile
+ function on the Poisson distribution. The <a class="link" href="../../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">reference
+ docs</a> describe how to change the rounding policy for these distributions.
+ </p>
</td></tr>
</table></div>
-<p>
- </p>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.member_functions"></a><h5>
-<a name="id1123717"></a>
+<a name="id1124999"></a>
<a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.member_functions">Member
Functions</a>
</h5>
@@ -130,7 +124,7 @@
Returns the <span class="emphasis"><em>mean</em></span> of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.non_member_accessors"></a><h5>
-<a name="id1123807"></a>
+<a name="id1125089"></a>
<a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -150,7 +144,7 @@
The domain of the random variable is [0, ∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.accuracy"></a><h5>
-<a name="id1123904"></a>
+<a name="id1125186"></a>
<a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -164,7 +158,7 @@
using an iterative method with a lower tolerance to avoid excessive computation.
</p>
<a name="math_toolkit.dist.dist_ref.dists.poisson_dist.implementation"></a><h5>
-<a name="id1123933"></a>
+<a name="id1125215"></a>
<a class="link" href="poisson_dist.html#math_toolkit.dist.dist_ref.dists.poisson_dist.implementation">Implementation</a>
</h5>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/rayleigh.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/rayleigh.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/rayleigh.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.rayleigh"></a><a class="link" href="rayleigh.html" title="Rayleigh Distribution"> Rayleigh
+<a name="math_toolkit.dist.dist_ref.dists.rayleigh"></a><a class="link" href="rayleigh.html" title="Rayleigh Distribution">Rayleigh
Distribution</a>
</h5></div></div></div>
<p>
@@ -79,7 +79,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/rayleigh_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.related_distributions"></a><h5>
-<a name="id1124654"></a>
+<a name="id1125937"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.related_distributions">Related
distributions</a>
</h5>
@@ -95,7 +95,7 @@
distribution</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.member_functions"></a><h5>
-<a name="id1124706"></a>
+<a name="id1125989"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.member_functions">Member
Functions</a>
</h5>
@@ -114,7 +114,7 @@
Returns the <span class="emphasis"><em>sigma</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.non_member_accessors"></a><h5>
-<a name="id1127300"></a>
+<a name="id1126093"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -134,7 +134,7 @@
The domain of the random variable is [0, max_value].
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.accuracy"></a><h5>
-<a name="id1127399"></a>
+<a name="id1126193"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.accuracy">Accuracy</a>
</h5>
<p>
@@ -144,7 +144,7 @@
using NTL RR type with 150-bit accuracy, about 50 decimal digits.
</p>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.implementation"></a><h5>
-<a name="id1127433"></a>
+<a name="id1126226"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.implementation">Implementation</a>
</h5>
<p>
@@ -313,7 +313,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.rayleigh.references"></a><h5>
-<a name="id1127765"></a>
+<a name="id1127741"></a>
<a class="link" href="rayleigh.html#math_toolkit.dist.dist_ref.dists.rayleigh.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/students_t_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/students_t_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/students_t_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,8 +17,8 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.students_t_dist"></a><a class="link" href="students_t_dist.html" title="Students t Distribution">
- Students t Distribution</a>
+<a name="math_toolkit.dist.dist_ref.dists.students_t_dist"></a><a class="link" href="students_t_dist.html" title="Students t Distribution">Students
+ t Distribution</a>
</h5></div></div></div>
<p>
@@ -90,7 +90,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/students_t_pdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.member_functions"></a><h5>
-<a name="id1128346"></a>
+<a name="id1128322"></a>
<a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.member_functions">Member
Functions</a>
</h5>
@@ -167,7 +167,7 @@
Engineering Statistics Handbook</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.non_member_accessors"></a><h5>
-<a name="id1128638"></a>
+<a name="id1128613"></a>
<a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -187,7 +187,7 @@
The domain of the random variable is [-∞, +∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.examples"></a><h5>
-<a name="id1128737"></a>
+<a name="id1128713"></a>
<a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.examples">Examples</a>
</h5>
<p>
@@ -195,7 +195,7 @@
are available illustrating the use of the Student's t distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.accuracy"></a><h5>
-<a name="id1128764"></a>
+<a name="id1128739"></a>
<a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -204,7 +204,7 @@
inverses</a>, refer to accuracy data on those functions for more information.
</p>
<a name="math_toolkit.dist.dist_ref.dists.students_t_dist.implementation"></a><h5>
-<a name="id1128795"></a>
+<a name="id1128770"></a>
<a class="link" href="students_t_dist.html#math_toolkit.dist.dist_ref.dists.students_t_dist.implementation">Implementation</a>
</h5>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/triangular_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/triangular_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/triangular_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,8 +17,8 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.triangular_dist"></a><a class="link" href="triangular_dist.html" title="Triangular Distribution">
- Triangular Distribution</a>
+<a name="math_toolkit.dist.dist_ref.dists.triangular_dist"></a><a class="link" href="triangular_dist.html" title="Triangular Distribution">Triangular
+ Distribution</a>
</h5></div></div></div>
<p>
@@ -121,7 +121,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/triangular_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.member_functions"></a><h5>
-<a name="id1130094"></a>
+<a name="id1129934"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.member_functions">Member
Functions</a>
</h5>
@@ -156,7 +156,7 @@
(default+1).
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.non_member_accessors"></a><h5>
-<a name="id1130313"></a>
+<a name="id1130152"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -177,7 +177,7 @@
range is lower <= x <= upper.
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.accuracy"></a><h5>
-<a name="id1130412"></a>
+<a name="id1130252"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -186,7 +186,7 @@
with arguments nearing the extremes of zero and unity.
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.implementation"></a><h5>
-<a name="id1130434"></a>
+<a name="id1130273"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.implementation">Implementation</a>
</h5>
<p>
@@ -371,7 +371,7 @@
Calculate and plot probability distributions</a>
</p>
<a name="math_toolkit.dist.dist_ref.dists.triangular_dist.references"></a><h5>
-<a name="id1130766"></a>
+<a name="id1130606"></a>
<a class="link" href="triangular_dist.html#math_toolkit.dist.dist_ref.dists.triangular_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/uniform_dist.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/uniform_dist.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/uniform_dist.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.uniform_dist"></a><a class="link" href="uniform_dist.html" title="Uniform Distribution"> Uniform
+<a name="math_toolkit.dist.dist_ref.dists.uniform_dist"></a><a class="link" href="uniform_dist.html" title="Uniform Distribution">Uniform
Distribution</a>
</h5></div></div></div>
<p>
@@ -110,7 +110,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/uniform_cdf.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.member_functions"></a><h5>
-<a name="id1132848"></a>
+<a name="id1133156"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.member_functions">Member
Functions</a>
</h5>
@@ -137,7 +137,7 @@
Returns the <span class="emphasis"><em>upper</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.non_member_accessors"></a><h5>
-<a name="id1133014"></a>
+<a name="id1133323"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -158,7 +158,7 @@
range is only <span class="emphasis"><em>lower</em></span> <= x <= <span class="emphasis"><em>upper</em></span>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.accuracy"></a><h5>
-<a name="id1133119"></a>
+<a name="id1133428"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.accuracy">Accuracy</a>
</h5>
<p>
@@ -166,7 +166,7 @@
and so should have errors within an epsilon or two.
</p>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.implementation"></a><h5>
-<a name="id1133138"></a>
+<a name="id1133447"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.implementation">Implementation</a>
</h5>
<p>
@@ -330,7 +330,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.uniform_dist.references"></a><h5>
-<a name="id1133414"></a>
+<a name="id1133723"></a>
<a class="link" href="uniform_dist.html#math_toolkit.dist.dist_ref.dists.uniform_dist.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/dists/weibull.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.dist_ref.dists.weibull"></a><a class="link" href="weibull.html" title="Weibull Distribution"> Weibull
+<a name="math_toolkit.dist.dist_ref.dists.weibull"></a><a class="link" href="weibull.html" title="Weibull Distribution">Weibull
Distribution</a>
</h5></div></div></div>
<p>
@@ -93,7 +93,7 @@
<span class="inlinemediaobject"><img src="../../../../../graphs/weibull_pdf2.png" align="middle"></span>
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.related_distributions"></a><h5>
-<a name="id1131362"></a>
+<a name="id1131201"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.related_distributions">Related
distributions</a>
</h5>
@@ -107,7 +107,7 @@
Distributions, Theory and Applications Samuel Kotz & Saralees Nadarajah</a>.
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.member_functions"></a><h5>
-<a name="id1131405"></a>
+<a name="id1131244"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.member_functions">Member
Functions</a>
</h5>
@@ -133,7 +133,7 @@
Returns the <span class="emphasis"><em>scale</em></span> parameter of this distribution.
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.non_member_accessors"></a><h5>
-<a name="id1131564"></a>
+<a name="id1131404"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.non_member_accessors">Non-member
Accessors</a>
</h5>
@@ -153,7 +153,7 @@
The domain of the random variable is [0, ∞].
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.accuracy"></a><h5>
-<a name="id1131664"></a>
+<a name="id1131503"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.accuracy">Accuracy</a>
</h5>
<p>
@@ -163,7 +163,7 @@
as such should have very low error rates.
</p>
<a name="math_toolkit.dist.dist_ref.dists.weibull.implementation"></a><h5>
-<a name="id1131705"></a>
+<a name="id1131544"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.implementation">Implementation</a>
</h5>
<p>
@@ -330,7 +330,7 @@
</tbody>
</table></div>
<a name="math_toolkit.dist.dist_ref.dists.weibull.references"></a><h5>
-<a name="id1132201"></a>
+<a name="id1131869"></a>
<a class="link" href="weibull.html#math_toolkit.dist.dist_ref.dists.weibull.references">References</a>
</h5>
<div class="itemizedlist"><ul type="disc">
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/nmp.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/nmp.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/dist_ref/nmp.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.dist.dist_ref.nmp"></a><a class="link" href="nmp.html" title="Non-Member Properties"> Non-Member Properties</a>
+<a name="math_toolkit.dist.dist_ref.nmp"></a><a class="link" href="nmp.html" title="Non-Member Properties">Non-Member Properties</a>
</h4></div></div></div>
<p>
Properties that are common to all distributions are accessed via non-member
@@ -29,10 +29,9 @@
<a class="link" href="nmp.html#function_index">function index</a> to go straight to
the function you want if you already know its name.
</p>
-<a name="function_index"></a><a name="math_toolkit.dist.dist_ref.nmp.function_index"></a><h5>
-<a name="id1077841"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.function_index">Function
- Index</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__function_index____function_index"></a><h5>
+<a name="id1078965"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__function_index____function_index"><a name="function_index"></a> Function Index</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li>
@@ -87,10 +86,9 @@
<a class="link" href="nmp.html#math.dist.variance">variance</a>.
</li>
</ul></div>
-<a name="concept_index"></a><a name="math_toolkit.dist.dist_ref.nmp.conceptual_index"></a><h5>
-<a name="id1078065"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.conceptual_index">Conceptual
- Index</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__concept_index____conceptual_index"></a><h5>
+<a name="id1079188"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__concept_index____conceptual_index"><a name="concept_index"></a> Conceptual Index</a>
</h5>
<div class="itemizedlist"><ul type="disc">
<li>
@@ -174,10 +172,9 @@
<a class="link" href="nmp.html#math.dist.variance">variance</a>.
</li>
</ul></div>
-<a name="math.dist.cdf"></a><a name="math_toolkit.dist.dist_ref.nmp.cumulative_distribution_function"></a><h5>
-<a name="id1078400"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.cumulative_distribution_function">Cumulative
- Distribution Function</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_cdf____cumulative_distribution_function"></a><h5>
+<a name="id1079519"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_cdf____cumulative_distribution_function"><a name="math.dist.cdf"></a> Cumulative Distribution Function</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">RealType</span> <span class="identifier">cdf</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">x</span><span class="special">);</span>
@@ -198,10 +195,9 @@
<p>
<span class="inlinemediaobject"><img src="../../../../graphs/cdf.png" alt="cdf"></span>
</p>
-<a name="math.dist.ccdf"></a><a name="math_toolkit.dist.dist_ref.nmp.complement_of_the_cumulative_distribution_function"></a><h5>
-<a name="id1078570"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.complement_of_the_cumulative_distribution_function">Complement
- of the Cumulative Distribution Function</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_ccdf____complement_of_the_cumulative_distribution_function"></a><h5>
+<a name="id1079686"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_ccdf____complement_of_the_cumulative_distribution_function"><a name="math.dist.ccdf"></a> Complement of the Cumulative Distribution Function</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">Distribution</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">></span>
<span class="identifier">RealType</span> <span class="identifier">cdf</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Unspecified-Complement-Type</em></span><span class="special"><</span><span class="identifier">Distribution</span><span class="special">,</span> <span class="identifier">RealType</span><span class="special">>&</span> <span class="identifier">comp</span><span class="special">);</span>
@@ -239,9 +235,9 @@
See <a class="link" href="../stat_tut/overview.html#why_complements">why complements?</a> for why the
complement is useful and when it should be used.
</p>
-<a name="math.dist.hazard"></a><a name="math_toolkit.dist.dist_ref.nmp.hazard_function"></a><h5>
-<a name="id1078858"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.hazard_function">Hazard Function</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_hazard____hazard_function"></a><h5>
+<a name="id1079973"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_hazard____hazard_function"><a name="math.dist.hazard"></a> Hazard Function</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">RealType</span> <span class="identifier">hazard</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">x</span><span class="special">);</span>
@@ -267,10 +263,9 @@
rather than the hazard function.
</p></td></tr>
</table></div>
-<a name="math.dist.chf"></a><a name="math_toolkit.dist.dist_ref.nmp.cumulative_hazard_function"></a><h5>
-<a name="id1079041"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.cumulative_hazard_function">Cumulative
- Hazard Function</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_chf____cumulative_hazard_function"></a><h5>
+<a name="id1080152"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_chf____cumulative_hazard_function"><a name="math.dist.chf"></a> Cumulative Hazard Function</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">RealType</span> <span class="identifier">chf</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">x</span><span class="special">);</span>
@@ -295,9 +290,9 @@
Some authors refer to this as simply the "Hazard Function".
</p></td></tr>
</table></div>
-<a name="math.dist.mean"></a><a name="math_toolkit.dist.dist_ref.nmp.mean"></a><h5>
-<a name="id1079286"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.mean">mean</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_mean____mean"></a><h5>
+<a name="id1080330"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_mean____mean"><a name="math.dist.mean"></a> mean</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">RealType</span> <span class="identifier">mean</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
@@ -310,9 +305,9 @@
if the distribution does not have a defined mean (for example the Cauchy
distribution).
</p>
-<a name="math.dist.median"></a><a name="math_toolkit.dist.dist_ref.nmp.median"></a><h5>
-<a name="id1079404"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.median">median</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_median____median"></a><h5>
+<a name="id1080567"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_median____median"><a name="math.dist.median"></a> median</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">RealType</span> <span class="identifier">median</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
@@ -320,9 +315,9 @@
<p>
Returns the median of the distribution <span class="emphasis"><em>dist</em></span>.
</p>
-<a name="math.dist.mode"></a><a name="math_toolkit.dist.dist_ref.nmp.mode"></a><h5>
-<a name="id1079513"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.mode">mode</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_mode____mode"></a><h5>
+<a name="id1080675"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_mode____mode"><a name="math.dist.mode"></a> mode</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">RealType</span> <span class="identifier">mode</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
@@ -334,10 +329,9 @@
This function may return a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
if the distribution does not have a defined mode.
</p>
-<a name="math.dist.pdf"></a><a name="math_toolkit.dist.dist_ref.nmp.probability_density_function"></a><h5>
-<a name="id1079628"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.probability_density_function">Probability
- Density Function</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_pdf____probability_density_function"></a><h5>
+<a name="id1080786"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_pdf____probability_density_function"><a name="math.dist.pdf"></a> Probability Density Function</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">RealType</span> <span class="identifier">pdf</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">x</span><span class="special">);</span>
@@ -363,9 +357,9 @@
<p>
<span class="inlinemediaobject"><img src="../../../../graphs/pdf.png" alt="pdf"></span>
</p>
-<a name="math.dist.range"></a><a name="math_toolkit.dist.dist_ref.nmp.range"></a><h5>
-<a name="id1079798"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.range">range</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_range____range"></a><h5>
+<a name="id1080952"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_range____range"><a name="math.dist.range"></a> range</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <span class="identifier">RealType</span><span class="special">></span> <span class="identifier">range</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
@@ -373,9 +367,9 @@
<p>
Returns the valid range of the random variable over distribution <span class="emphasis"><em>dist</em></span>.
</p>
-<a name="math.dist.quantile"></a><a name="math_toolkit.dist.dist_ref.nmp.quantile"></a><h5>
-<a name="id1079933"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.quantile">Quantile</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_quantile____quantile"></a><h5>
+<a name="id1081086"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_quantile____quantile"><a name="math.dist.quantile"></a> Quantile</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">RealType</span> <span class="identifier">quantile</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">RealType</span><span class="special">&</span> <span class="identifier">p</span><span class="special">);</span>
@@ -402,10 +396,9 @@
<p>
<span class="inlinemediaobject"><img src="../../../../graphs/quantile.png" alt="quantile"></span>
</p>
-<a name="math.dist.quantile_c"></a><a name="math_toolkit.dist.dist_ref.nmp.quantile_from_the_complement_of_the_probability_"></a><h5>
-<a name="id1080158"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.quantile_from_the_complement_of_the_probability_">Quantile
- from the complement of the probability.</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_quantile_c____quantile_from_the_complement_of_the_probability_"></a><h5>
+<a name="id1081309"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_quantile_c____quantile_from_the_complement_of_the_probability_"><a name="math.dist.quantile_c"></a> Quantile from the complement of the probability.</a>
</h5>
<p>
<a class="link" href="../stat_tut/overview.html#complements">complements</a>
@@ -448,10 +441,9 @@
<p>
<span class="inlinemediaobject"><img src="../../../../graphs/survival_inv.png" alt="survival_inv"></span>
</p>
-<a name="math.dist.sd"></a><a name="math_toolkit.dist.dist_ref.nmp.standard_deviation"></a><h5>
-<a name="id1080498"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.standard_deviation">Standard
- Deviation</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_sd____standard_deviation"></a><h5>
+<a name="id1081649"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_sd____standard_deviation"><a name="math.dist.sd"></a> Standard Deviation</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">RealType</span> <span class="identifier">standard_deviation</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
@@ -463,9 +455,9 @@
This function may return a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
if the distribution does not have a defined standard deviation.
</p>
-<a name="math.dist.support"></a><a name="math_toolkit.dist.dist_ref.nmp.support"></a><h5>
-<a name="id1080620"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.support">support</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_support____support"></a><h5>
+<a name="id1081768"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_support____support"><a name="math.dist.support"></a> support</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <span class="identifier">RealType</span><span class="special">></span> <span class="identifier">support</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
@@ -480,9 +472,9 @@
that has the cdf going from zero to unity. Outside are uninteresting zones
where the pdf is zero, and the cdf zero or unity.
</p>
-<a name="math.dist.variance"></a><a name="math_toolkit.dist.dist_ref.nmp.variance"></a><h5>
-<a name="id1080764"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.variance">Variance</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_variance____variance"></a><h5>
+<a name="id1081911"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_variance____variance"><a name="math.dist.variance"></a> Variance</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">RealType</span> <span class="identifier">variance</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
@@ -494,9 +486,9 @@
This function may return a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
if the distribution does not have a defined variance.
</p>
-<a name="math.dist.skewness"></a><a name="math_toolkit.dist.dist_ref.nmp.skewness"></a><h5>
-<a name="id1080882"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.skewness">Skewness</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_skewness____skewness"></a><h5>
+<a name="id1082028"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_skewness____skewness"><a name="math.dist.skewness"></a> Skewness</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">RealType</span> <span class="identifier">skewness</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
@@ -508,9 +500,9 @@
This function may return a <a class="link" href="../../main_overview/error_handling.html#domain_error">domain_error</a>
if the distribution does not have a defined skewness.
</p>
-<a name="math.dist.kurtosis"></a><a name="math_toolkit.dist.dist_ref.nmp.kurtosis"></a><h5>
-<a name="id1081001"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.kurtosis">Kurtosis</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_kurtosis____kurtosis"></a><h5>
+<a name="id1082146"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_kurtosis____kurtosis"><a name="math.dist.kurtosis"></a> Kurtosis</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">RealType</span> <span class="identifier">kurtosis</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
@@ -550,10 +542,9 @@
<p>
'Proper' kurtosis can have a value from zero to + infinity.
</p>
-<a name="math.dist.kurtosis_excess"></a><a name="math_toolkit.dist.dist_ref.nmp.kurtosis_excess"></a><h5>
-<a name="id1081209"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.kurtosis_excess">Kurtosis
- excess</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_kurtosis_excess____kurtosis_excess"></a><h5>
+<a name="id1082352"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__math_dist_kurtosis_excess____kurtosis_excess"><a name="math.dist.kurtosis_excess"></a> Kurtosis excess</a>
</h5>
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">></span>
<span class="identifier">RealType</span> <span class="identifier">kurtosis_excess</span><span class="special">(</span><span class="keyword">const</span> <span class="emphasis"><em>Distribution-Type</em></span><span class="special"><</span><span class="identifier">RealType</span><span class="special">,</span> <a class="link" href="../../policy.html" title="Policies">Policy</a><span class="special">>&</span> <span class="identifier">dist</span><span class="special">);</span>
@@ -585,9 +576,9 @@
<p>
The kurtosis excess of a normal distribution is zero.
</p>
-<a name="cdfPQ"></a><a name="math_toolkit.dist.dist_ref.nmp.p_and_q"></a><h5>
-<a name="id1082782"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.p_and_q">P and Q</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__cdfpq____p_and_q"></a><h5>
+<a name="id1082538"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__cdfpq____p_and_q"><a name="cdfPQ"></a> P and Q</a>
</h5>
<p>
The terms P and Q are sometimes used to refer to the <a class="link" href="nmp.html#math.dist.cdf">Cumulative
@@ -595,36 +586,32 @@
respectively. Lowercase p and q are sometimes used to refer to the values
returned by these functions.
</p>
-<a name="percent"></a><a name="math_toolkit.dist.dist_ref.nmp.percent_point_function"></a><h5>
-<a name="id1082812"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.percent_point_function">Percent
- Point Function</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__percent____percent_point_function"></a><h5>
+<a name="id1082569"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__percent____percent_point_function"><a name="percent"></a> Percent Point Function</a>
</h5>
<p>
The percent point function, also known as the percentile, is the same as
the <a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</p>
-<a name="cdf_inv"></a><a name="math_toolkit.dist.dist_ref.nmp.inverse_cdf_function_"></a><h5>
-<a name="id1082838"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.inverse_cdf_function_">Inverse
- CDF Function.</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__cdf_inv____inverse_cdf_function_"></a><h5>
+<a name="id1082593"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__cdf_inv____inverse_cdf_function_"><a name="cdf_inv"></a> Inverse CDF Function.</a>
</h5>
<p>
The inverse of the cumulative distribution function, is the same as the
<a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</p>
-<a name="survival_inv"></a><a name="math_toolkit.dist.dist_ref.nmp.inverse_survival_function_"></a><h5>
-<a name="id1082866"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.inverse_survival_function_">Inverse
- Survival Function.</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__survival_inv____inverse_survival_function_"></a><h5>
+<a name="id1082617"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__survival_inv____inverse_survival_function_"><a name="survival_inv"></a> Inverse Survival Function.</a>
</h5>
<p>
The inverse of the survival function, is the same as computing the <a class="link" href="nmp.html#math.dist.quantile_c">quantile from the complement of the probability</a>.
</p>
-<a name="pmf"></a><a name="math_toolkit.dist.dist_ref.nmp.probability_mass_function"></a><h5>
-<a name="id1082896"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.probability_mass_function">Probability
- Mass Function</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__pmf____probability_mass_function"></a><h5>
+<a name="id1082641"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__pmf____probability_mass_function"><a name="pmf"></a> Probability Mass Function</a>
</h5>
<p>
The Probability Mass Function is the same as the <a class="link" href="nmp.html#math.dist.pdf">Probability
@@ -635,20 +622,18 @@
the term <a class="link" href="nmp.html#math.dist.pdf">Probability Density Function</a>
applies to continuous distributions.
</p>
-<a name="lower_critical"></a><a name="math_toolkit.dist.dist_ref.nmp.lower_critical_value_"></a><h5>
-<a name="id1082934"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.lower_critical_value_">Lower
- Critical Value.</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__lower_critical____lower_critical_value_"></a><h5>
+<a name="id1082675"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__lower_critical____lower_critical_value_"><a name="lower_critical"></a> Lower Critical Value.</a>
</h5>
<p>
The lower critical value calculates the value of the random variable given
the area under the left tail of the distribution. It is equivalent to calculating
the <a class="link" href="nmp.html#math.dist.quantile">Quantile</a>.
</p>
-<a name="upper_critical"></a><a name="math_toolkit.dist.dist_ref.nmp.upper_critical_value_"></a><h5>
-<a name="id1082960"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.upper_critical_value_">Upper
- Critical Value.</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__upper_critical____upper_critical_value_"></a><h5>
+<a name="id1082699"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__upper_critical____upper_critical_value_"><a name="upper_critical"></a> Upper Critical Value.</a>
</h5>
<p>
The upper critical value calculates the value of the random variable given
@@ -656,10 +641,9 @@
calculating the <a class="link" href="nmp.html#math.dist.quantile_c">quantile from the
complement of the probability</a>.
</p>
-<a name="survival"></a><a name="math_toolkit.dist.dist_ref.nmp.survival_function"></a><h5>
-<a name="id1082986"></a>
- <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp.survival_function">Survival
- Function</a>
+<a name="math_toolkit.dist.dist_ref.nmp._anchor_id__survival____survival_function"></a><h5>
+<a name="id1082723"></a>
+ <a class="link" href="nmp.html#math_toolkit.dist.dist_ref.nmp._anchor_id__survival____survival_function"><a name="survival"></a> Survival Function</a>
</h5>
<p>
Refer to the <a class="link" href="nmp.html#math.dist.ccdf">Complement of the Cumulative
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/future.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/future.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/future.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,10 +17,10 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.dist.future"></a><a class="link" href="future.html" title="Extras/Future Directions"> Extras/Future Directions</a>
+<a name="math_toolkit.dist.future"></a><a class="link" href="future.html" title="Extras/Future Directions">Extras/Future Directions</a>
</h3></div></div></div>
<a name="math_toolkit.dist.future.adding_additional_location_and_scale_parameters"></a><h5>
-<a name="id1135811"></a>
+<a name="id1136052"></a>
<a class="link" href="future.html#math_toolkit.dist.future.adding_additional_location_and_scale_parameters">Adding
Additional Location and Scale Parameters</a>
</h5>
@@ -48,7 +48,7 @@
functions.
</p>
<a name="math_toolkit.dist.future.an__quot_any_distribution_quot__class"></a><h5>
-<a name="id1135975"></a>
+<a name="id1136217"></a>
<a class="link" href="future.html#math_toolkit.dist.future.an__quot_any_distribution_quot__class">An
"any_distribution" class</a>
</h5>
@@ -77,7 +77,7 @@
use case: this needs more investigation.
</p>
<a name="math_toolkit.dist.future.higher_level_hypothesis_tests"></a><h5>
-<a name="id1136184"></a>
+<a name="id1136426"></a>
<a class="link" href="future.html#math_toolkit.dist.future.higher_level_hypothesis_tests">Higher
Level Hypothesis Tests</a>
</h5>
@@ -97,7 +97,7 @@
<span class="emphasis"><em>expected_mean</em></span>.
</p>
<a name="math_toolkit.dist.future.integration_with_statistical_accumulators"></a><h5>
-<a name="id1136345"></a>
+<a name="id1136586"></a>
<a class="link" href="future.html#math_toolkit.dist.future.integration_with_statistical_accumulators">Integration
With Statistical Accumulators</a>
</h5>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,95 +17,93 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h3 class="title">
-<a name="math_toolkit.dist.stat_tut"></a><a class="link" href="stat_tut.html" title="Statistical Distributions Tutorial"> Statistical Distributions
+<a name="math_toolkit.dist.stat_tut"></a><a class="link" href="stat_tut.html" title="Statistical Distributions Tutorial">Statistical Distributions
Tutorial</a>
</h3></div></div></div>
<div class="toc"><dl>
-<dt><span class="section"> Overview</span></dt>
-<dt><span class="section"> Worked Examples</span></dt>
+<dt><span class="section">Overview</span></dt>
+<dt><span class="section">Worked Examples</span></dt>
<dd><dl>
-<dt><span class="section"><a href="stat_tut/weg/dist_construct_eg.html">
- Distribution Construction Example</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/st_eg.html"> Student's
- t Distribution Examples</a></span></dt>
-<dd><dl>
-<dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_intervals.html">
- Calculating confidence intervals on the mean with the Students-t distribution</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_test.html">
- Testing a sample mean for difference from a "true" mean</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_size.html">
- Estimating how large a sample size would have to become in order to give
- a significant Students-t test result with a single sample test</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/st_eg/two_sample_students_t.html">
- Comparing the means of two samples with the Students-t test</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/st_eg/paired_st.html">
- Comparing two paired samples with the Student's t distribution</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/dist_construct_eg.html">Distribution
+ Construction Example</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/st_eg.html">Student's t
+ Distribution Examples</a></span></dt>
+<dd><dl>
+<dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_intervals.html">Calculating
+ confidence intervals on the mean with the Students-t distribution</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_test.html">Testing
+ a sample mean for difference from a "true" mean</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/st_eg/tut_mean_size.html">Estimating
+ how large a sample size would have to become in order to give a significant
+ Students-t test result with a single sample test</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/st_eg/two_sample_students_t.html">Comparing
+ the means of two samples with the Students-t test</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/st_eg/paired_st.html">Comparing
+ two paired samples with the Student's t distribution</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="stat_tut/weg/cs_eg.html"> Chi Squared
+<dt><span class="section"><a href="stat_tut/weg/cs_eg.html">Chi Squared
Distribution Examples</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_intervals.html">
- Confidence Intervals on the Standard Deviation</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_test.html">
- Chi-Square Test for the Standard Deviation</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_size.html">
- Estimating the Required Sample Sizes for a Chi-Square Test for the Standard
- Deviation</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_intervals.html">Confidence
+ Intervals on the Standard Deviation</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_test.html">Chi-Square
+ Test for the Standard Deviation</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/cs_eg/chi_sq_size.html">Estimating
+ the Required Sample Sizes for a Chi-Square Test for the Standard Deviation</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="stat_tut/weg/f_eg.html"> F Distribution
+<dt><span class="section"><a href="stat_tut/weg/f_eg.html">F Distribution
Examples</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/binom_eg.html"> Binomial
+<dt><span class="section"><a href="stat_tut/weg/binom_eg.html">Binomial
Distribution Examples</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="stat_tut/weg/binom_eg/binomial_coinflip_example.html">
- Binomial Coin-Flipping Example</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/binom_eg/binomial_quiz_example.html">
- Binomial Quiz Example</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/binom_eg/binom_conf.html">
- Calculating Confidence Limits on the Frequency of Occurrence for a Binomial
- Distribution</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/binom_eg/binom_size_eg.html">
- Estimating Sample Sizes for a Binomial Distribution.</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/binom_eg/binomial_coinflip_example.html">Binomial
+ Coin-Flipping Example</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/binom_eg/binomial_quiz_example.html">Binomial
+ Quiz Example</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/binom_eg/binom_conf.html">Calculating
+ Confidence Limits on the Frequency of Occurrence for a Binomial Distribution</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/binom_eg/binom_size_eg.html">Estimating
+ Sample Sizes for a Binomial Distribution.</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="stat_tut/weg/neg_binom_eg.html"> Negative
+<dt><span class="section"><a href="stat_tut/weg/neg_binom_eg.html">Negative
Binomial Distribution Examples</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/neg_binom_conf.html">
- Calculating Confidence Limits on the Frequency of Occurrence for the
- Negative Binomial Distribution</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html">
- Estimating Sample Sizes for the Negative Binomial.</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/negative_binomial_example1.html">
- Negative Binomial Sales Quota Example.</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/negative_binomial_example2.html">
- Negative Binomial Table Printing Example.</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/neg_binom_conf.html">Calculating
+ Confidence Limits on the Frequency of Occurrence for the Negative Binomial
+ Distribution</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html">Estimating
+ Sample Sizes for the Negative Binomial.</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/negative_binomial_example1.html">Negative
+ Binomial Sales Quota Example.</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/neg_binom_eg/negative_binomial_example2.html">Negative
+ Binomial Table Printing Example.</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="stat_tut/weg/normal_example.html"> Normal
+<dt><span class="section"><a href="stat_tut/weg/normal_example.html">Normal
Distribution Examples</a></span></dt>
-<dd><dl><dt><span class="section"><a href="stat_tut/weg/normal_example/normal_misc.html">
- Some Miscellaneous Examples of the Normal (Gaussian) Distribution</a></span></dt></dl></dd>
-<dt><span class="section"><a href="stat_tut/weg/nccs_eg.html"> Non Central
+<dd><dl><dt><span class="section"><a href="stat_tut/weg/normal_example/normal_misc.html">Some
+ Miscellaneous Examples of the Normal (Gaussian) Distribution</a></span></dt></dl></dd>
+<dt><span class="section"><a href="stat_tut/weg/nccs_eg.html">Non Central
Chi Squared Example</a></span></dt>
-<dd><dl><dt><span class="section"><a href="stat_tut/weg/nccs_eg/nccs_power_eg.html">
- Tables of the power function of the χ<sup>2</sup> test.</a></span></dt></dl></dd>
-<dt><span class="section"><a href="stat_tut/weg/error_eg.html"> Error Handling
+<dd><dl><dt><span class="section"><a href="stat_tut/weg/nccs_eg/nccs_power_eg.html">Tables
+ of the power function of the χ<sup>2</sup> test.</a></span></dt></dl></dd>
+<dt><span class="section"><a href="stat_tut/weg/error_eg.html">Error Handling
Example</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/find_eg.html"> Find Location
+<dt><span class="section"><a href="stat_tut/weg/find_eg.html">Find Location
and Scale Examples</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="stat_tut/weg/find_eg/find_location_eg.html">
- Find Location (Mean) Example</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/find_eg/find_scale_eg.html">
- Find Scale (Standard Deviation) Example</a></span></dt>
-<dt><span class="section"><a href="stat_tut/weg/find_eg/find_mean_and_sd_eg.html">
- Find mean and standard deviation example</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/find_eg/find_location_eg.html">Find
+ Location (Mean) Example</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/find_eg/find_scale_eg.html">Find
+ Scale (Standard Deviation) Example</a></span></dt>
+<dt><span class="section"><a href="stat_tut/weg/find_eg/find_mean_and_sd_eg.html">Find
+ mean and standard deviation example</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="stat_tut/weg/nag_library.html"> Comparison
+<dt><span class="section"><a href="stat_tut/weg/nag_library.html">Comparison
with C, R, FORTRAN-style Free Functions</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="stat_tut/variates.html"> Random Variates
+<dt><span class="section"><a href="stat_tut/variates.html">Random Variates
and Distribution Parameters</a></span></dt>
-<dt><span class="section"><a href="stat_tut/dist_params.html"> Discrete Probability
+<dt><span class="section"><a href="stat_tut/dist_params.html">Discrete Probability
Distributions</a></span></dt>
</dl></div>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/dist_params.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/dist_params.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/dist_params.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.dist.stat_tut.dist_params"></a><a class="link" href="dist_params.html" title="Discrete Probability Distributions"> Discrete Probability
+<a name="math_toolkit.dist.stat_tut.dist_params"></a><a class="link" href="dist_params.html" title="Discrete Probability Distributions">Discrete Probability
Distributions</a>
</h4></div></div></div>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/overview.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,10 +17,10 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.dist.stat_tut.overview"></a><a class="link" href="overview.html" title="Overview"> Overview</a>
+<a name="math_toolkit.dist.stat_tut.overview"></a><a class="link" href="overview.html" title="Overview">Overview</a>
</h4></div></div></div>
<a name="math_toolkit.dist.stat_tut.overview.headers_and_namespaces"></a><h5>
-<a name="id995888"></a>
+<a name="id997723"></a>
<a class="link" href="overview.html#math_toolkit.dist.stat_tut.overview.headers_and_namespaces">Headers
and Namespaces</a>
</h5>
@@ -37,7 +37,7 @@
or <boost/math/distributions.hpp>
</p>
<a name="math_toolkit.dist.stat_tut.overview.distributions_are_objects"></a><h5>
-<a name="id995920"></a>
+<a name="id997756"></a>
<a class="link" href="overview.html#math_toolkit.dist.stat_tut.overview.distributions_are_objects">Distributions
are Objects</a>
</h5>
@@ -124,7 +124,7 @@
and <span class="emphasis"><em>quantiles</em></span> etc for these distributions.
</p>
<a name="math_toolkit.dist.stat_tut.overview.generic_operations_common_to_all_distributions_are_non_member_functions"></a><h5>
-<a name="id996280"></a>
+<a name="id998116"></a>
<a class="link" href="overview.html#math_toolkit.dist.stat_tut.overview.generic_operations_common_to_all_distributions_are_non_member_functions">Generic
operations common to all distributions are non-member functions</a>
</h5>
@@ -160,8 +160,6 @@
</tr>
<tr><td align="left" valign="top">
<p>
- </p>
-<p>
<span class="bold"><strong>Random numbers that approximate Quantiles of Distributions</strong></span>
</p>
<p>
@@ -200,8 +198,6 @@
</tr>
<tr><td align="left" valign="top">
<p>
- </p>
-<p>
<span class="bold"><strong>Random Variates and Distribution Parameters</strong></span>
</p>
<p>
@@ -267,8 +263,6 @@
</tr>
<tr><td align="left" valign="top">
<p>
- </p>
-<p>
<span class="bold"><strong>Discrete Probability Distributions</strong></span>
</p>
<p>
@@ -316,10 +310,8 @@
</p>
</td></tr>
</table></div>
-<a name="complements"></a><p>
- </p>
-<a name="math_toolkit.dist.stat_tut.overview.complements_are_supported_too"></a><h5>
-<a name="id997456"></a>
+<a name="complements"></a><a name="math_toolkit.dist.stat_tut.overview.complements_are_supported_too"></a><h5>
+<a name="id999277"></a>
<a class="link" href="overview.html#math_toolkit.dist.stat_tut.overview.complements_are_supported_too">Complements
are supported too</a>
</h5>
@@ -367,8 +359,6 @@
</tr>
<tr><td align="left" valign="top">
<p>
- </p>
-<p>
<span class="bold"><strong>Critical values are just quantiles</strong></span>
</p>
<p>
@@ -401,8 +391,6 @@
</p>
</td></tr>
</table></div>
-<a name="why_complements"></a><p>
- </p>
<div class="tip"><table border="0" summary="Tip">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Tip]" src="../../../images/tip.png"></td>
@@ -410,9 +398,8 @@
</tr>
<tr><td align="left" valign="top">
<p>
- </p>
-<p>
- <span class="bold"><strong>Why bother with complements anyway?</strong></span>
+ <span class="bold"><strong><a name="why_complements"></a> Why bother with
+ complements anyway?</strong></span>
</p>
<p>
It's very tempting to dispense with complements, and simply subtract
@@ -454,7 +441,7 @@
</td></tr>
</table></div>
<a name="math_toolkit.dist.stat_tut.overview.parameters_can_be_calculated"></a><h5>
-<a name="id998303"></a>
+<a name="id1000112"></a>
<a class="link" href="overview.html#math_toolkit.dist.stat_tut.overview.parameters_can_be_calculated">Parameters
can be calculated</a>
</h5>
@@ -485,7 +472,7 @@
sample size.
</p>
<a name="math_toolkit.dist.stat_tut.overview.summary"></a><h5>
-<a name="id998395"></a>
+<a name="id1000204"></a>
<a class="link" href="overview.html#math_toolkit.dist.stat_tut.overview.summary">Summary</a>
</h5>
<div class="itemizedlist"><ul type="disc">
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/variates.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/variates.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/variates.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.dist.stat_tut.variates"></a><a class="link" href="variates.html" title="Random Variates and Distribution Parameters"> Random Variates
+<a name="math_toolkit.dist.stat_tut.variates"></a><a class="link" href="variates.html" title="Random Variates and Distribution Parameters">Random Variates
and Distribution Parameters</a>
</h4></div></div></div>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,92 +17,86 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h4 class="title">
-<a name="math_toolkit.dist.stat_tut.weg"></a><a class="link" href="weg.html" title="Worked Examples"> Worked Examples</a>
+<a name="math_toolkit.dist.stat_tut.weg"></a><a class="link" href="weg.html" title="Worked Examples">Worked Examples</a>
</h4></div></div></div>
<div class="toc"><dl>
-<dt><span class="section"><a href="weg/dist_construct_eg.html">
- Distribution Construction Example</a></span></dt>
-<dt><span class="section"><a href="weg/st_eg.html"> Student's
- t Distribution Examples</a></span></dt>
+<dt><span class="section"><a href="weg/dist_construct_eg.html">Distribution
+ Construction Example</a></span></dt>
+<dt><span class="section"><a href="weg/st_eg.html">Student's t
+ Distribution Examples</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="weg/st_eg/tut_mean_intervals.html">
- Calculating confidence intervals on the mean with the Students-t distribution</a></span></dt>
-<dt><span class="section"><a href="weg/st_eg/tut_mean_test.html">
- Testing a sample mean for difference from a "true" mean</a></span></dt>
-<dt><span class="section"><a href="weg/st_eg/tut_mean_size.html">
- Estimating how large a sample size would have to become in order to give
- a significant Students-t test result with a single sample test</a></span></dt>
-<dt><span class="section"><a href="weg/st_eg/two_sample_students_t.html">
- Comparing the means of two samples with the Students-t test</a></span></dt>
-<dt><span class="section"><a href="weg/st_eg/paired_st.html">
- Comparing two paired samples with the Student's t distribution</a></span></dt>
+<dt><span class="section"><a href="weg/st_eg/tut_mean_intervals.html">Calculating
+ confidence intervals on the mean with the Students-t distribution</a></span></dt>
+<dt><span class="section"><a href="weg/st_eg/tut_mean_test.html">Testing
+ a sample mean for difference from a "true" mean</a></span></dt>
+<dt><span class="section"><a href="weg/st_eg/tut_mean_size.html">Estimating
+ how large a sample size would have to become in order to give a significant
+ Students-t test result with a single sample test</a></span></dt>
+<dt><span class="section"><a href="weg/st_eg/two_sample_students_t.html">Comparing
+ the means of two samples with the Students-t test</a></span></dt>
+<dt><span class="section"><a href="weg/st_eg/paired_st.html">Comparing
+ two paired samples with the Student's t distribution</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="weg/cs_eg.html"> Chi Squared
+<dt><span class="section"><a href="weg/cs_eg.html">Chi Squared
Distribution Examples</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="weg/cs_eg/chi_sq_intervals.html">
- Confidence Intervals on the Standard Deviation</a></span></dt>
-<dt><span class="section"><a href="weg/cs_eg/chi_sq_test.html">
- Chi-Square Test for the Standard Deviation</a></span></dt>
-<dt><span class="section"><a href="weg/cs_eg/chi_sq_size.html">
- Estimating the Required Sample Sizes for a Chi-Square Test for the Standard
- Deviation</a></span></dt>
+<dt><span class="section"><a href="weg/cs_eg/chi_sq_intervals.html">Confidence
+ Intervals on the Standard Deviation</a></span></dt>
+<dt><span class="section"><a href="weg/cs_eg/chi_sq_test.html">Chi-Square
+ Test for the Standard Deviation</a></span></dt>
+<dt><span class="section"><a href="weg/cs_eg/chi_sq_size.html">Estimating
+ the Required Sample Sizes for a Chi-Square Test for the Standard Deviation</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="weg/f_eg.html"> F Distribution
+<dt><span class="section"><a href="weg/f_eg.html">F Distribution
Examples</a></span></dt>
-<dt><span class="section"><a href="weg/binom_eg.html"> Binomial
+<dt><span class="section"><a href="weg/binom_eg.html">Binomial
Distribution Examples</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="weg/binom_eg/binomial_coinflip_example.html">
- Binomial Coin-Flipping Example</a></span></dt>
-<dt><span class="section"><a href="weg/binom_eg/binomial_quiz_example.html">
- Binomial Quiz Example</a></span></dt>
-<dt><span class="section"><a href="weg/binom_eg/binom_conf.html">
- Calculating Confidence Limits on the Frequency of Occurrence for a Binomial
- Distribution</a></span></dt>
-<dt><span class="section"><a href="weg/binom_eg/binom_size_eg.html">
- Estimating Sample Sizes for a Binomial Distribution.</a></span></dt>
+<dt><span class="section"><a href="weg/binom_eg/binomial_coinflip_example.html">Binomial
+ Coin-Flipping Example</a></span></dt>
+<dt><span class="section"><a href="weg/binom_eg/binomial_quiz_example.html">Binomial
+ Quiz Example</a></span></dt>
+<dt><span class="section"><a href="weg/binom_eg/binom_conf.html">Calculating
+ Confidence Limits on the Frequency of Occurrence for a Binomial Distribution</a></span></dt>
+<dt><span class="section"><a href="weg/binom_eg/binom_size_eg.html">Estimating
+ Sample Sizes for a Binomial Distribution.</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="weg/neg_binom_eg.html"> Negative
+<dt><span class="section"><a href="weg/neg_binom_eg.html">Negative
Binomial Distribution Examples</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="weg/neg_binom_eg/neg_binom_conf.html">
- Calculating Confidence Limits on the Frequency of Occurrence for the
- Negative Binomial Distribution</a></span></dt>
-<dt><span class="section"><a href="weg/neg_binom_eg/neg_binom_size_eg.html">
- Estimating Sample Sizes for the Negative Binomial.</a></span></dt>
-<dt><span class="section"><a href="weg/neg_binom_eg/negative_binomial_example1.html">
- Negative Binomial Sales Quota Example.</a></span></dt>
-<dt><span class="section"><a href="weg/neg_binom_eg/negative_binomial_example2.html">
- Negative Binomial Table Printing Example.</a></span></dt>
+<dt><span class="section"><a href="weg/neg_binom_eg/neg_binom_conf.html">Calculating
+ Confidence Limits on the Frequency of Occurrence for the Negative Binomial
+ Distribution</a></span></dt>
+<dt><span class="section"><a href="weg/neg_binom_eg/neg_binom_size_eg.html">Estimating
+ Sample Sizes for the Negative Binomial.</a></span></dt>
+<dt><span class="section"><a href="weg/neg_binom_eg/negative_binomial_example1.html">Negative
+ Binomial Sales Quota Example.</a></span></dt>
+<dt><span class="section"><a href="weg/neg_binom_eg/negative_binomial_example2.html">Negative
+ Binomial Table Printing Example.</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="weg/normal_example.html"> Normal
+<dt><span class="section"><a href="weg/normal_example.html">Normal
Distribution Examples</a></span></dt>
-<dd><dl><dt><span class="section"><a href="weg/normal_example/normal_misc.html">
- Some Miscellaneous Examples of the Normal (Gaussian) Distribution</a></span></dt></dl></dd>
-<dt><span class="section"><a href="weg/nccs_eg.html"> Non Central
+<dd><dl><dt><span class="section"><a href="weg/normal_example/normal_misc.html">Some
+ Miscellaneous Examples of the Normal (Gaussian) Distribution</a></span></dt></dl></dd>
+<dt><span class="section"><a href="weg/nccs_eg.html">Non Central
Chi Squared Example</a></span></dt>
-<dd><dl><dt><span class="section"><a href="weg/nccs_eg/nccs_power_eg.html">
- Tables of the power function of the χ<sup>2</sup> test.</a></span></dt></dl></dd>
-<dt><span class="section"><a href="weg/error_eg.html"> Error Handling
+<dd><dl><dt><span class="section"><a href="weg/nccs_eg/nccs_power_eg.html">Tables
+ of the power function of the χ<sup>2</sup> test.</a></span></dt></dl></dd>
+<dt><span class="section"><a href="weg/error_eg.html">Error Handling
Example</a></span></dt>
-<dt><span class="section"><a href="weg/find_eg.html"> Find Location
+<dt><span class="section"><a href="weg/find_eg.html">Find Location
and Scale Examples</a></span></dt>
<dd><dl>
-<dt><span class="section"><a href="weg/find_eg/find_location_eg.html">
- Find Location (Mean) Example</a></span></dt>
-<dt><span class="section"><a href="weg/find_eg/find_scale_eg.html">
- Find Scale (Standard Deviation) Example</a></span></dt>
-<dt><span class="section"><a href="weg/find_eg/find_mean_and_sd_eg.html">
- Find mean and standard deviation example</a></span></dt>
+<dt><span class="section"><a href="weg/find_eg/find_location_eg.html">Find
+ Location (Mean) Example</a></span></dt>
+<dt><span class="section"><a href="weg/find_eg/find_scale_eg.html">Find
+ Scale (Standard Deviation) Example</a></span></dt>
+<dt><span class="section"><a href="weg/find_eg/find_mean_and_sd_eg.html">Find
+ mean and standard deviation example</a></span></dt>
</dl></dd>
-<dt><span class="section"><a href="weg/nag_library.html"> Comparison
+<dt><span class="section"><a href="weg/nag_library.html">Comparison
with C, R, FORTRAN-style Free Functions</a></span></dt>
</dl></div>
-<p>
- </p>
-<p>
- </p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,19 +17,18 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.binom_eg"></a><a class="link" href="binom_eg.html" title="Binomial Distribution Examples"> Binomial
+<a name="math_toolkit.dist.stat_tut.weg.binom_eg"></a><a class="link" href="binom_eg.html" title="Binomial Distribution Examples">Binomial
Distribution Examples</a>
</h5></div></div></div>
<div class="toc"><dl>
-<dt><span class="section"><a href="binom_eg/binomial_coinflip_example.html">
- Binomial Coin-Flipping Example</a></span></dt>
-<dt><span class="section"><a href="binom_eg/binomial_quiz_example.html">
- Binomial Quiz Example</a></span></dt>
-<dt><span class="section"><a href="binom_eg/binom_conf.html">
- Calculating Confidence Limits on the Frequency of Occurrence for a Binomial
- Distribution</a></span></dt>
-<dt><span class="section"><a href="binom_eg/binom_size_eg.html">
- Estimating Sample Sizes for a Binomial Distribution.</a></span></dt>
+<dt><span class="section"><a href="binom_eg/binomial_coinflip_example.html">Binomial
+ Coin-Flipping Example</a></span></dt>
+<dt><span class="section"><a href="binom_eg/binomial_quiz_example.html">Binomial
+ Quiz Example</a></span></dt>
+<dt><span class="section"><a href="binom_eg/binom_conf.html">Calculating
+ Confidence Limits on the Frequency of Occurrence for a Binomial Distribution</a></span></dt>
+<dt><span class="section"><a href="binom_eg/binom_size_eg.html">Estimating
+ Sample Sizes for a Binomial Distribution.</a></span></dt>
</dl></div>
<p>
See also the reference documentation for the <a class="link" href="../../dist_ref/dists/binomial_dist.html" title="Binomial Distribution">Binomial
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_conf.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_conf.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_conf.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,9 +17,8 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binom_conf"></a><a class="link" href="binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution">
- Calculating Confidence Limits on the Frequency of Occurrence for a Binomial
- Distribution</a>
+<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binom_conf"></a><a class="link" href="binom_conf.html" title="Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution">Calculating
+ Confidence Limits on the Frequency of Occurrence for a Binomial Distribution</a>
</h6></div></div></div>
<p>
Imagine you have a process that follows a binomial distribution: for
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_size_eg.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_size_eg.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binom_size_eg.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,8 +17,8 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binom_size_eg"></a><a class="link" href="binom_size_eg.html" title="Estimating Sample Sizes for a Binomial Distribution.">
- Estimating Sample Sizes for a Binomial Distribution.</a>
+<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binom_size_eg"></a><a class="link" href="binom_size_eg.html" title="Estimating Sample Sizes for a Binomial Distribution.">Estimating
+ Sample Sizes for a Binomial Distribution.</a>
</h6></div></div></div>
<p>
Imagine you have a critical component that you know will fail in 1
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_coinflip_example.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_coinflip_example.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_coinflip_example.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,48 +17,36 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_coinflip_example"></a><a class="link" href="binomial_coinflip_example.html" title="Binomial Coin-Flipping Example">
- Binomial Coin-Flipping Example</a>
+<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_coinflip_example"></a><a class="link" href="binomial_coinflip_example.html" title="Binomial Coin-Flipping Example">Binomial
+ Coin-Flipping Example</a>
</h6></div></div></div>
<p>
- </p>
-<p>
- An example of a <a href="http://en.wikipedia.org/wiki/Bernoulli_process" target="_top">Bernoulli
- process</a> is coin flipping. A variable in such a sequence may
- be called a Bernoulli variable.
- </p>
-<p>
- </p>
-<p>
- This example shows using the Binomial distribution to predict the
- probability of heads and tails when throwing a coin.
- </p>
-<p>
- </p>
-<p>
- The number of correct answers (say heads), X, is distributed as a
- binomial random variable with binomial distribution parameters number
- of trials (flips) n = 10 and probability (success_fraction) of getting
- a head p = 0.5 (a 'fair' coin).
- </p>
-<p>
- </p>
+ An example of a <a href="http://en.wikipedia.org/wiki/Bernoulli_process" target="_top">Bernoulli
+ process</a> is coin flipping. A variable in such a sequence may
+ be called a Bernoulli variable.
+ </p>
<p>
- (Our coin is assumed fair, but we could easily change the success_fraction
- parameter p from 0.5 to some other value to simulate an unfair coin,
- say 0.6 for one with chewing gum on the tail, so it is more likely
- to fall tails down and heads up).
- </p>
+ This example shows using the Binomial distribution to predict the probability
+ of heads and tails when throwing a coin.
+ </p>
<p>
- </p>
+ The number of correct answers (say heads), X, is distributed as a binomial
+ random variable with binomial distribution parameters number of trials
+ (flips) n = 10 and probability (success_fraction) of getting a head
+ p = 0.5 (a 'fair' coin).
+ </p>
<p>
- First we need some includes and using statements to be able to use
- the binomial distribution, some std input and output, and get started:
- </p>
+ (Our coin is assumed fair, but we could easily change the success_fraction
+ parameter p from 0.5 to some other value to simulate an unfair coin,
+ say 0.6 for one with chewing gum on the tail, so it is more likely
+ to fall tails down and heads up).
+ </p>
<p>
- </p>
+ First we need some includes and using statements to be able to use
+ the binomial distribution, some std input and output, and get started:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">distributions</span><span class="special">/</span><span class="identifier">binomial</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span>
<span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">binomial</span><span class="special">;</span>
@@ -74,23 +62,17 @@
<span class="keyword">try</span>
<span class="special">{</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- See note <a class="link" href="binomial_coinflip_example.html#coinflip_eg_catch">with the catch block</a>
- about why a try and catch block is always a good idea.
- </p>
-<p>
- </p>
+ </p>
<p>
- First, construct a binomial distribution with parameters success_fraction
- 1/2, and how many flips.
- </p>
+ See note <a class="link" href="binomial_coinflip_example.html#coinflip_eg_catch">with the catch block</a>
+ about why a try and catch block is always a good idea.
+ </p>
<p>
- </p>
+ First, construct a binomial distribution with parameters success_fraction
+ 1/2, and how many flips.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">const</span> <span class="keyword">double</span> <span class="identifier">success_fraction</span> <span class="special">=</span> <span class="number">0.5</span><span class="special">;</span> <span class="comment">// = 50% = 1/2 for a 'fair' coin.
</span><span class="keyword">int</span> <span class="identifier">flips</span> <span class="special">=</span> <span class="number">10</span><span class="special">;</span>
@@ -98,16 +80,12 @@
<span class="identifier">cout</span><span class="special">.</span><span class="identifier">precision</span><span class="special">(</span><span class="number">4</span><span class="special">);</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Then some examples of using Binomial moments (and echoing the parameters).
- </p>
+ </p>
<p>
- </p>
+ Then some examples of using Binomial moments (and echoing the parameters).
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"From "</span> <span class="special"><<</span> <span class="identifier">flips</span> <span class="special"><<</span> <span class="string">" one can expect to get on average "</span>
<span class="special"><<</span> <span class="identifier">mean</span><span class="special">(</span><span class="identifier">flip</span><span class="special">)</span> <span class="special"><<</span> <span class="string">" heads (or tails)."</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
@@ -123,141 +101,104 @@
</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Skewness if success_fraction is "</span> <span class="special"><<</span> <span class="identifier">flip</span><span class="special">.</span><span class="identifier">success_fraction</span><span class="special">()</span>
<span class="special"><<</span> <span class="string">" is "</span> <span class="special"><<</span> <span class="identifier">skewness</span><span class="special">(</span><span class="identifier">flip</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span> <span class="comment">// Expect zero for a 'fair' coin.</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Now we show a variety of predictions on the probability of heads:
- </p>
+ </p>
<p>
- </p>
+ Now we show a variety of predictions on the probability of heads:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"For "</span> <span class="special"><<</span> <span class="identifier">flip</span><span class="special">.</span><span class="identifier">trials</span><span class="special">()</span> <span class="special"><<</span> <span class="string">" coin flips: "</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting no heads is "</span> <span class="special"><<</span> <span class="identifier">pdf</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">0</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting at least one head is "</span> <span class="special"><<</span> <span class="number">1.</span> <span class="special">-</span> <span class="identifier">pdf</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">0</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- When we want to calculate the probability for a range or values we
- can sum the PDF's:
- </p>
+ </p>
<p>
- </p>
+ When we want to calculate the probability for a range or values we
+ can sum the PDF's:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting 0 or 1 heads is "</span>
<span class="special"><<</span> <span class="identifier">pdf</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">0</span><span class="special">)</span> <span class="special">+</span> <span class="identifier">pdf</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">1</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span> <span class="comment">// sum of exactly == probabilities</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Or we can use the cdf.
- </p>
+ </p>
<p>
- </p>
+ Or we can use the cdf.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting 0 or 1 (<= 1) heads is "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">1</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting 9 or 10 heads is "</span> <span class="special"><<</span> <span class="identifier">pdf</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">9</span><span class="special">)</span> <span class="special">+</span> <span class="identifier">pdf</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">10</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Note that using
- </p>
+ </p>
<p>
- </p>
+ Note that using
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting 9 or 10 heads is "</span> <span class="special"><<</span> <span class="number">1.</span> <span class="special">-</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">8</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- is less accurate than using the complement
- </p>
+ </p>
<p>
- </p>
+ is less accurate than using the complement
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting 9 or 10 heads is "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">8</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Since the subtraction may involve <a href="http://docs.sun.com/source/806-3568/ncg_goldberg.html" target="_top">cancellation
- error</a>, where as <code class="computeroutput"><span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">8</span><span class="special">))</span></code> does not use such a subtraction
- internally, and so does not exhibit the problem.
- </p>
-<p>
- </p>
+ </p>
<p>
- To get the probability for a range of heads, we can either add the
- pdfs for each number of heads
- </p>
+ Since the subtraction may involve <a href="http://docs.sun.com/source/806-3568/ncg_goldberg.html" target="_top">cancellation
+ error</a>, where as <code class="computeroutput"><span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">8</span><span class="special">))</span></code>
+ does not use such a subtraction internally, and so does not exhibit
+ the problem.
+ </p>
<p>
- </p>
+ To get the probability for a range of heads, we can either add the
+ pdfs for each number of heads
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of between 4 and 6 heads (4 or 5 or 6) is "</span>
<span class="comment">// P(X == 4) + P(X == 5) + P(X == 6)
</span> <span class="special"><<</span> <span class="identifier">pdf</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">4</span><span class="special">)</span> <span class="special">+</span> <span class="identifier">pdf</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">5</span><span class="special">)</span> <span class="special">+</span> <span class="identifier">pdf</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">6</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- But this is probably less efficient than using the cdf
- </p>
+ </p>
<p>
- </p>
+ But this is probably less efficient than using the cdf
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of between 4 and 6 heads (4 or 5 or 6) is "</span>
<span class="comment">// P(X <= 6) - P(X <= 3) == P(X < 4)
</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">6</span><span class="special">)</span> <span class="special">-</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">3</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Certainly for a bigger range like, 3 to 7
- </p>
+ </p>
<p>
- </p>
+ Certainly for a bigger range like, 3 to 7
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of between 3 and 7 heads (3, 4, 5, 6 or 7) is "</span>
<span class="comment">// P(X <= 7) - P(X <= 2) == P(X < 3)
</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">7</span><span class="special">)</span> <span class="special">-</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">flip</span><span class="special">,</span> <span class="number">2</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Finally, print two tables of probability for the <span class="emphasis"><em>exactly</em></span>
- and <span class="emphasis"><em>at least</em></span> a number of heads.
- </p>
+ </p>
<p>
- </p>
+ Finally, print two tables of probability for the <span class="emphasis"><em>exactly</em></span>
+ and <span class="emphasis"><em>at least</em></span> a number of heads.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="comment">// Print a table of probability for the exactly a number of heads.
</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting exactly (==) heads"</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
@@ -281,58 +222,42 @@
<span class="special"><<</span> <span class="identifier">probability</span> <span class="special">*</span> <span class="number">100.</span> <span class="special"><<</span> <span class="string">"%"</span><span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="special">}</span> <span class="comment">// for i</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- The last (0 to 10 heads) must, of course, be 100% probability.
- </p>
+ </p>
<p>
- </p>
+ The last (0 to 10 heads) must, of course, be 100% probability.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="special">}</span>
<span class="keyword">catch</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">exception</span><span class="special">&</span> <span class="identifier">e</span><span class="special">)</span>
<span class="special">{</span>
<span class="comment">//</span></pre>
<p>
- </p>
-<p>
- <a name="coinflip_eg_catch"></a>
- </p>
-<p>
- It is always essential to include try & catch blocks because
- default policies are to throw exceptions on arguments that are out
- of domain or cause errors like numeric-overflow.
- </p>
-<p>
- </p>
+ </p>
<p>
- Lacking try & catch blocks, the program will abort, whereas the
- message below from the thrown exception will give some helpful clues
- as to the cause of the problem.
- </p>
+ <a name="coinflip_eg_catch"></a> It is always essential to include
+ try & catch blocks because default policies are to throw exceptions
+ on arguments that are out of domain or cause errors like numeric-overflow.
+ </p>
<p>
- </p>
+ Lacking try & catch blocks, the program will abort, whereas the
+ message below from the thrown exception will give some helpful clues
+ as to the cause of the problem.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"> <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special"><<</span>
<span class="string">"\n"</span><span class="string">"Message from thrown exception was:\n "</span> <span class="special"><<</span> <span class="identifier">e</span><span class="special">.</span><span class="identifier">what</span><span class="special">()</span> <span class="special"><<</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
<span class="special">}</span>
</pre>
<p>
- </p>
-<p>
</p>
<p>
See binomial_coinflip_example.cpp
for full source code, the program output looks like this:
</p>
-<p>
-
-</p>
<pre class="programlisting">Using Binomial distribution to predict how many heads and tails.
From 10 one can expect to get on average 5 heads (or tails).
Mode is 5
@@ -379,8 +304,6 @@
9 0.999 or 1 in 1.001, or 99.9%
10 1 or 1 in 1, or 100%
</pre>
-<p>
- </p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/binom_eg/binomial_quiz_example.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,33 +17,27 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example"></a><a class="link" href="binomial_quiz_example.html" title="Binomial Quiz Example">
- Binomial Quiz Example</a>
+<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example"></a><a class="link" href="binomial_quiz_example.html" title="Binomial Quiz Example">Binomial
+ Quiz Example</a>
</h6></div></div></div>
<p>
- </p>
-<p>
- A multiple choice test has four possible answers to each of 16 questions.
- A student guesses the answer to each question, so the probability
- of getting a correct answer on any given question is one in four,
- a quarter, 1/4, 25% or fraction 0.25. The conditions of the binomial
- experiment are assumed to be met: n = 16 questions constitute the
- trials; each question results in one of two possible outcomes (correct
- or incorrect); the probability of being correct is 0.25 and is constant
- if no knowledge about the subject is assumed; the questions are answered
- independently if the student's answer to a question in no way influences
- his/her answer to another question.
- </p>
-<p>
- </p>
-<p>
- First, we need to be able to use the binomial distribution constructor
- (and some std input/output, of course).
- </p>
+ A multiple choice test has four possible answers to each of 16 questions.
+ A student guesses the answer to each question, so the probability of
+ getting a correct answer on any given question is one in four, a quarter,
+ 1/4, 25% or fraction 0.25. The conditions of the binomial experiment
+ are assumed to be met: n = 16 questions constitute the trials; each
+ question results in one of two possible outcomes (correct or incorrect);
+ the probability of being correct is 0.25 and is constant if no knowledge
+ about the subject is assumed; the questions are answered independently
+ if the student's answer to a question in no way influences his/her
+ answer to another question.
+ </p>
<p>
- </p>
+ First, we need to be able to use the binomial distribution constructor
+ (and some std input/output, of course).
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">distributions</span><span class="special">/</span><span class="identifier">binomial</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span>
<span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">binomial</span><span class="special">;</span>
@@ -55,19 +49,14 @@
<span class="keyword">using</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">setw</span><span class="special">;</span> <span class="keyword">using</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">setprecision</span><span class="special">;</span>
</pre>
<p>
- </p>
-<p>
- </p>
-<p>
- The number of correct answers, X, is distributed as a binomial random
- variable with binomial distribution parameters: questions n = 16
- and success fraction probability p = 0.25. So we construct a binomial
- distribution:
- </p>
+ </p>
<p>
- </p>
+ The number of correct answers, X, is distributed as a binomial random
+ variable with binomial distribution parameters: questions n = 16 and
+ success fraction probability p = 0.25. So we construct a binomial distribution:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">int</span> <span class="identifier">questions</span> <span class="special">=</span> <span class="number">16</span><span class="special">;</span> <span class="comment">// All the questions in the quiz.
</span><span class="keyword">int</span> <span class="identifier">answers</span> <span class="special">=</span> <span class="number">4</span><span class="special">;</span> <span class="comment">// Possible answers to each question.
@@ -75,32 +64,24 @@
</span><span class="comment">// Caution: = answers / questions would be zero (because they are integers)!
</span><span class="identifier">binomial</span> <span class="identifier">quiz</span><span class="special">(</span><span class="identifier">questions</span><span class="special">,</span> <span class="identifier">success_fraction</span><span class="special">);</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- and display the distribution parameters we used thus:
- </p>
+ </p>
<p>
- </p>
+ and display the distribution parameters we used thus:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"In a quiz with "</span> <span class="special"><<</span> <span class="identifier">quiz</span><span class="special">.</span><span class="identifier">trials</span><span class="special">()</span>
<span class="special"><<</span> <span class="string">" questions and with a probability of guessing right of "</span>
<span class="special"><<</span> <span class="identifier">quiz</span><span class="special">.</span><span class="identifier">success_fraction</span><span class="special">()</span> <span class="special">*</span> <span class="number">100</span> <span class="special"><<</span> <span class="string">" %"</span>
<span class="special"><<</span> <span class="string">" or 1 in "</span> <span class="special"><<</span> <span class="keyword">static_cast</span><span class="special"><</span><span class="keyword">int</span><span class="special">>(</span><span class="number">1.</span> <span class="special">/</span> <span class="identifier">quiz</span><span class="special">.</span><span class="identifier">success_fraction</span><span class="special">())</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Show a few probabilities of just guessing:
- </p>
+ </p>
<p>
- </p>
+ Show a few probabilities of just guessing:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting none right is "</span> <span class="special"><<</span> <span class="identifier">pdf</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="number">0</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span> <span class="comment">// 0.010023
</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting exactly one right is "</span> <span class="special"><<</span> <span class="identifier">pdf</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="number">1</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
@@ -109,30 +90,20 @@
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting exactly "</span> <span class="special"><<</span> <span class="identifier">pass_score</span> <span class="special"><<</span> <span class="string">" answers right by chance is "</span>
<span class="special"><<</span> <span class="identifier">pdf</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="identifier">questions</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Probability of getting none right is 0.0100226
Probability of getting exactly one right is 0.0534538
Probability of getting exactly two right is 0.133635
Probability of getting exactly 11 answers right by chance is 2.32831e-010
</pre>
<p>
- </p>
-<p>
- These don't give any encouragement to guessers!
- </p>
-<p>
- </p>
-<p>
- We can tabulate the 'getting exactly right' ( == ) probabilities
- thus:
- </p>
+ These don't give any encouragement to guessers!
+ </p>
<p>
- </p>
+ We can tabulate the 'getting exactly right' ( == ) probabilities thus:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"\n"</span> <span class="string">"Guessed Probability"</span> <span class="special"><<</span> <span class="identifier">right</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="keyword">for</span> <span class="special">(</span><span class="keyword">int</span> <span class="identifier">successes</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span> <span class="identifier">successes</span> <span class="special"><=</span> <span class="identifier">questions</span><span class="special">;</span> <span class="identifier">successes</span><span class="special">++)</span>
@@ -142,10 +113,7 @@
<span class="special">}</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Guessed Probability
0 0.0100226
1 0.0534538
@@ -166,152 +134,101 @@
16 2.32831e-010
</pre>
<p>
- </p>
-<p>
- Then we can add the probabilities of some 'exactly right' like this:
- </p>
-<p>
- </p>
+ Then we can add the probabilities of some 'exactly right' like this:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting none or one right is "</span> <span class="special"><<</span> <span class="identifier">pdf</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="number">0</span><span class="special">)</span> <span class="special">+</span> <span class="identifier">pdf</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="number">1</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Probability of getting none or one right is 0.0634764
</pre>
<p>
- </p>
-<p>
- But if more than a couple of scores are involved, it is more convenient
- (and may be more accurate) to use the Cumulative Distribution Function
- (cdf) instead:
- </p>
-<p>
- </p>
+ But if more than a couple of scores are involved, it is more convenient
+ (and may be more accurate) to use the Cumulative Distribution Function
+ (cdf) instead:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting none or one right is "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="number">1</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Probability of getting none or one right is 0.0634764
</pre>
<p>
- </p>
-<p>
- Since the cdf is inclusive, we can get the probability of getting
- up to 10 right ( <= )
- </p>
-<p>
- </p>
+ Since the cdf is inclusive, we can get the probability of getting up
+ to 10 right ( <= )
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting <= 10 right (to fail) is "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="number">10</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Probability of getting <= 10 right (to fail) is 0.999715
</pre>
<p>
- </p>
-<p>
- To get the probability of getting 11 or more right (to pass), it
- is tempting to use
+ To get the probability of getting 11 or more right (to pass), it is
+ tempting to use
</p>
<pre class="programlisting"><span class="number">1</span> <span class="special">-</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="number">10</span><span class="special">)</span></pre>
<p>
- to get the probability of > 10
- </p>
-<p>
- </p>
+ to get the probability of > 10
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting > 10 right (to pass) is "</span> <span class="special"><<</span> <span class="number">1</span> <span class="special">-</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="number">10</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Probability of getting > 10 right (to pass) is 0.000285239
</pre>
<p>
- </p>
-<p>
- But this should be resisted in favor of using the complement function.
- <a class="link" href="../../overview.html#why_complements">Why complements?</a>
- </p>
-<p>
- </p>
+ But this should be resisted in favor of using the complement function.
+ <a class="link" href="../../overview.html#why_complements">Why complements?</a>
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting > 10 right (to pass) is "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="number">10</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Probability of getting > 10 right (to pass) is 0.000285239
</pre>
<p>
- </p>
-<p>
- And we can check that these two, <= 10 and > 10, add up to
- unity.
- </p>
-<p>
- </p>
+ And we can check that these two, <= 10 and > 10, add up to unity.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">BOOST_ASSERT</span><span class="special">((</span><span class="identifier">cdf</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="number">10</span><span class="special">)</span> <span class="special">+</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="number">10</span><span class="special">)))</span> <span class="special">==</span> <span class="number">1.</span><span class="special">);</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- If we want a < rather than a <= test, because the CDF is inclusive,
- we must subtract one from the score.
- </p>
+ </p>
<p>
- </p>
+ If we want a < rather than a <= test, because the CDF is inclusive,
+ we must subtract one from the score.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting less than "</span> <span class="special"><<</span> <span class="identifier">pass_score</span>
<span class="special"><<</span> <span class="string">" (< "</span> <span class="special"><<</span> <span class="identifier">pass_score</span> <span class="special"><<</span> <span class="string">") answers right by guessing is "</span>
<span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="identifier">pass_score</span> <span class="special">-</span><span class="number">1</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Probability of getting less than 11 (< 11) answers right by guessing is 0.999715
</pre>
<p>
- </p>
-<p>
- and similarly to get a >= rather than a > test we also need
- to subtract one from the score (and can again check the sum is unity).
- This is because if the cdf is <span class="emphasis"><em>inclusive</em></span>, then
- its complement must be <span class="emphasis"><em>exclusive</em></span> otherwise there
- would be one possible outcome counted twice!
- </p>
-<p>
- </p>
+ and similarly to get a >= rather than a > test we also need to
+ subtract one from the score (and can again check the sum is unity).
+ This is because if the cdf is <span class="emphasis"><em>inclusive</em></span>, then
+ its complement must be <span class="emphasis"><em>exclusive</em></span> otherwise there
+ would be one possible outcome counted twice!
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting at least "</span> <span class="special"><<</span> <span class="identifier">pass_score</span>
<span class="special"><<</span> <span class="string">"(>= "</span> <span class="special"><<</span> <span class="identifier">pass_score</span> <span class="special"><<</span> <span class="string">") answers right by guessing is "</span>
@@ -320,21 +237,14 @@
<span class="identifier">BOOST_ASSERT</span><span class="special">((</span><span class="identifier">cdf</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="identifier">pass_score</span> <span class="special">-</span><span class="number">1</span><span class="special">)</span> <span class="special">+</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="identifier">pass_score</span><span class="special">-</span><span class="number">1</span><span class="special">)))</span> <span class="special">==</span> <span class="number">1</span><span class="special">);</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Probability of getting at least 11 (>= 11) answers right by guessing is 0.000285239, only 1 in 3505.83
</pre>
<p>
- </p>
-<p>
- Finally we can tabulate some probabilities:
- </p>
-<p>
- </p>
+ Finally we can tabulate some probabilities:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"\n"</span> <span class="string">"At most (<=)"</span><span class="string">"\n"</span><span class="string">"Guessed OK Probability"</span> <span class="special"><<</span> <span class="identifier">right</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="keyword">for</span> <span class="special">(</span><span class="keyword">int</span> <span class="identifier">score</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span> <span class="identifier">score</span> <span class="special"><=</span> <span class="identifier">questions</span><span class="special">;</span> <span class="identifier">score</span><span class="special">++)</span>
@@ -344,10 +254,7 @@
<span class="special">}</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">At most (<=)
Guessed OK Probability
0 0.01002259576
@@ -369,9 +276,7 @@
16 1
</pre>
<p>
- </p>
-<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"\n"</span> <span class="string">"At least (>)"</span><span class="string">"\n"</span><span class="string">"Guessed OK Probability"</span> <span class="special"><<</span> <span class="identifier">right</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="keyword">for</span> <span class="special">(</span><span class="keyword">int</span> <span class="identifier">score</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span> <span class="identifier">score</span> <span class="special"><=</span> <span class="identifier">questions</span><span class="special">;</span> <span class="identifier">score</span><span class="special">++)</span>
@@ -380,10 +285,7 @@
<span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="identifier">score</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="special">}</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">At least (>)
Guessed OK Probability
0 0.9899774042
@@ -405,21 +307,15 @@
16 0
</pre>
<p>
- </p>
-<p>
- We now consider the probabilities of <span class="bold"><strong>ranges</strong></span>
- of correct guesses.
- </p>
-<p>
- </p>
-<p>
- First, calculate the probability of getting a range of guesses right,
- by adding the exact probabilities of each from low ... high.
- </p>
+ We now consider the probabilities of <span class="bold"><strong>ranges</strong></span>
+ of correct guesses.
+ </p>
<p>
- </p>
+ First, calculate the probability of getting a range of guesses right,
+ by adding the exact probabilities of each from low ... high.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">int</span> <span class="identifier">low</span> <span class="special">=</span> <span class="number">3</span><span class="special">;</span> <span class="comment">// Getting at least 3 right.
</span><span class="keyword">int</span> <span class="identifier">high</span> <span class="special">=</span> <span class="number">5</span><span class="special">;</span> <span class="comment">// Getting as most 5 right.
@@ -433,40 +329,26 @@
<span class="special"><<</span> <span class="identifier">low</span> <span class="special"><<</span> <span class="string">" and "</span> <span class="special"><<</span> <span class="identifier">high</span> <span class="special"><<</span> <span class="string">" answers right by guessing is "</span>
<span class="special"><<</span> <span class="identifier">sum</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span> <span class="comment">// 0.61323</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Probability of getting between 3 and 5 answers right by guessing is 0.6132
</pre>
<p>
- </p>
-<p>
- Or, usually better, we can use the difference of cdfs instead:
- </p>
-<p>
- </p>
+ Or, usually better, we can use the difference of cdfs instead:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting between "</span> <span class="special"><<</span> <span class="identifier">low</span> <span class="special"><<</span> <span class="string">" and "</span> <span class="special"><<</span> <span class="identifier">high</span> <span class="special"><<</span> <span class="string">" answers right by guessing is "</span>
<span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="identifier">high</span><span class="special">)</span> <span class="special">-</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="identifier">low</span> <span class="special">-</span> <span class="number">1</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span> <span class="comment">// 0.61323</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Probability of getting between 3 and 5 answers right by guessing is 0.6132
</pre>
<p>
- </p>
-<p>
- And we can also try a few more combinations of high and low choices:
- </p>
-<p>
- </p>
+ And we can also try a few more combinations of high and low choices:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">low</span> <span class="special">=</span> <span class="number">1</span><span class="special">;</span> <span class="identifier">high</span> <span class="special">=</span> <span class="number">6</span><span class="special">;</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting between "</span> <span class="special"><<</span> <span class="identifier">low</span> <span class="special"><<</span> <span class="string">" and "</span> <span class="special"><<</span> <span class="identifier">high</span> <span class="special"><<</span> <span class="string">" answers right by guessing is "</span>
@@ -478,32 +360,22 @@
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Probability of getting between "</span> <span class="special"><<</span> <span class="identifier">low</span> <span class="special"><<</span> <span class="string">" and "</span> <span class="special"><<</span> <span class="identifier">high</span> <span class="special"><<</span> <span class="string">" answers right by guessing is "</span>
<span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="identifier">high</span><span class="special">)</span> <span class="special">-</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="identifier">low</span> <span class="special">-</span> <span class="number">1</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span> <span class="comment">// 4 <= x 4 P = 0.22520</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Probability of getting between 1 and 6 answers right by guessing is 0.9104
Probability of getting between 1 and 8 answers right by guessing is 0.9825
Probability of getting between 4 and 4 answers right by guessing is 0.2252
</pre>
+<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.using_binomial_distribution_moments"></a><h5>
+<a name="id1030066"></a>
+ <a class="link" href="binomial_quiz_example.html#math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.using_binomial_distribution_moments">Using
+ Binomial distribution moments</a>
+ </h5>
<p>
- <a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.using_binomial_distribution_moments"></a>
- </p>
-<h5>
-<a name="id1028225"></a>
- <a class="link" href="binomial_quiz_example.html#math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.using_binomial_distribution_moments">Using
- Binomial distribution moments</a>
- </h5>
-<p>
- </p>
-<p>
- Using moments of the distribution, we can say more about the spread
- of results from guessing.
- </p>
-<p>
- </p>
+ Using moments of the distribution, we can say more about the spread
+ of results from guessing.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"By guessing, on average, one can expect to get "</span> <span class="special"><<</span> <span class="identifier">mean</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">)</span> <span class="special"><<</span> <span class="string">" correct answers."</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Standard deviation is "</span> <span class="special"><<</span> <span class="identifier">standard_deviation</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
@@ -513,33 +385,23 @@
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Mode (the most frequent) is "</span> <span class="special"><<</span> <span class="identifier">mode</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Skewness is "</span> <span class="special"><<</span> <span class="identifier">skewness</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">By guessing, on average, one can expect to get 4 correct answers.
Standard deviation is 1.732
So about 2/3 will lie within 1 standard deviation and get between 3 and 5 correct.
Mode (the most frequent) is 4
Skewness is 0.2887
</pre>
+<a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.quantiles"></a><h5>
+<a name="id1031827"></a>
+ <a class="link" href="binomial_quiz_example.html#math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.quantiles">Quantiles</a>
+ </h5>
<p>
- <a name="math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.quantiles"></a>
- </p>
-<h5>
-<a name="id1029850"></a>
- <a class="link" href="binomial_quiz_example.html#math_toolkit.dist.stat_tut.weg.binom_eg.binomial_quiz_example.quantiles">Quantiles</a>
- </h5>
-<p>
- </p>
-<p>
- The quantiles (percentiles or percentage points) for a few probability
- levels:
- </p>
-<p>
- </p>
+ The quantiles (percentiles or percentage points) for a few probability
+ levels:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Quartiles "</span> <span class="special"><<</span> <span class="identifier">quantile</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="number">0.25</span><span class="special">)</span> <span class="special"><<</span> <span class="string">" to "</span>
<span class="special"><<</span> <span class="identifier">quantile</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="number">0.25</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span> <span class="comment">// Quartiles
@@ -557,16 +419,11 @@
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"If guessing then percentiles 1 to 99% will get "</span> <span class="special"><<</span> <span class="identifier">quantile</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="number">0.01</span><span class="special">)</span>
<span class="special"><<</span> <span class="string">" to "</span> <span class="special"><<</span> <span class="identifier">quantile</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="number">0.01</span><span class="special">))</span> <span class="special"><<</span> <span class="string">" right."</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Notice that these output integral values because the default policy
- is <code class="computeroutput"><span class="identifier">integer_round_outwards</span></code>.
- </p>
+ </p>
<p>
-
-</p>
+ Notice that these output integral values because the default policy
+ is <code class="computeroutput"><span class="identifier">integer_round_outwards</span></code>.
+ </p>
<pre class="programlisting">Quartiles 2 to 5
1 standard deviation 2 to 5
Deciles 1 to 6
@@ -575,111 +432,74 @@
2 to 98% 0 to 8
</pre>
<p>
- </p>
+ Quantiles values are controlled by the <a class="link" href="../../../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">discrete
+ quantile policy</a> chosen. The default is <code class="computeroutput"><span class="identifier">integer_round_outwards</span></code>,
+ so the lower quantile is rounded down, and the upper quantile is rounded
+ up.
+ </p>
<p>
- Quantiles values are controlled by the <a class="link" href="../../../../policy/pol_ref/discrete_quant_ref.html" title="Discrete Quantile Policies">discrete
- quantile policy</a> chosen. The default is <code class="computeroutput"><span class="identifier">integer_round_outwards</span></code>,
- so the lower quantile is rounded down, and the upper quantile is
- rounded up.
- </p>
-<p>
- </p>
-<p>
- But we might believe that the real values tell us a little more -
- see <a class="link" href="../../../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
- Discrete Quantile Policy</a>.
- </p>
-<p>
- </p>
-<p>
- We could control the policy for <span class="bold"><strong>all</strong></span>
- distributions by
- </p>
+ But we might believe that the real values tell us a little more - see
+ <a class="link" href="../../../../policy/pol_tutorial/understand_dis_quant.html" title="Understanding Quantiles of Discrete Distributions">Understanding
+ Discrete Quantile Policy</a>.
+ </p>
<p>
-
-</p>
+ We could control the policy for <span class="bold"><strong>all</strong></span>
+ distributions by
+ </p>
<pre class="programlisting"><span class="preprocessor">#define</span> <span class="identifier">BOOST_MATH_DISCRETE_QUANTILE_POLICY</span> <span class="identifier">real</span>
<span class="identifier">at</span> <span class="identifier">the</span> <span class="identifier">head</span> <span class="identifier">of</span> <span class="identifier">the</span> <span class="identifier">program</span> <span class="identifier">would</span> <span class="identifier">make</span> <span class="keyword">this</span> <span class="identifier">policy</span> <span class="identifier">apply</span>
</pre>
<p>
- </p>
+ to this <span class="bold"><strong>one, and only</strong></span>, translation
+ unit.
+ </p>
<p>
- #define BOOST_MATH_DISCRETE_QUANTILE_POLICY real
- </p>
+ Or we can now create a (typedef for) policy that has discrete quantiles
+ real (here avoiding any 'using namespaces ...' statements):
+ </p>
<p>
</p>
-<pre class="programlisting"><span class="identifier">at</span> <span class="identifier">the</span> <span class="identifier">head</span> <span class="identifier">of</span> <span class="identifier">the</span> <span class="identifier">program</span> <span class="identifier">would</span> <span class="identifier">make</span> <span class="keyword">this</span> <span class="identifier">policy</span> <span class="identifier">apply</span>
-</pre>
-<p>
- </p>
-<p>
- at the head of the program would make this policy apply to this
- <span class="bold"><strong>one, and only</strong></span>, translation unit.
- </p>
-<p>
- </p>
-<p>
- Or we can now create a (typedef for) policy that has discrete quantiles
- real (here avoiding any 'using namespaces ...' statements):
- </p>
-<p>
- </p>
-<p>
-
-</p>
<pre class="programlisting"><span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">policy</span><span class="special">;</span>
<span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">discrete_quantile</span><span class="special">;</span>
<span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">real</span><span class="special">;</span>
<span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">integer_round_outwards</span><span class="special">;</span> <span class="comment">// Default.
</span><span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">policy</span><span class="special"><</span><span class="identifier">discrete_quantile</span><span class="special"><</span><span class="identifier">real</span><span class="special">></span> <span class="special">></span> <span class="identifier">real_quantile_policy</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
+ </p>
<p>
- Add a custom binomial distribution called
+ Add a custom binomial distribution called
</p>
<pre class="programlisting"><span class="identifier">real_quantile_binomial</span></pre>
<p>
- that uses
+ that uses
</p>
<pre class="programlisting"><span class="identifier">real_quantile_policy</span></pre>
<p>
- </p>
-<p>
- </p>
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">binomial_distribution</span><span class="special">;</span>
<span class="keyword">typedef</span> <span class="identifier">binomial_distribution</span><span class="special"><</span><span class="keyword">double</span><span class="special">,</span> <span class="identifier">real_quantile_policy</span><span class="special">></span> <span class="identifier">real_quantile_binomial</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Construct an object of this custom distribution:
- </p>
+ </p>
<p>
- </p>
+ Construct an object of this custom distribution:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">real_quantile_binomial</span> <span class="identifier">quiz_real</span><span class="special">(</span><span class="identifier">questions</span><span class="special">,</span> <span class="identifier">success_fraction</span><span class="special">);</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- And use this to show some quantiles - that now have real rather than
- integer values.
- </p>
+ </p>
<p>
- </p>
+ And use this to show some quantiles - that now have real rather than
+ integer values.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Quartiles "</span> <span class="special"><<</span> <span class="identifier">quantile</span><span class="special">(</span><span class="identifier">quiz</span><span class="special">,</span> <span class="number">0.25</span><span class="special">)</span> <span class="special"><<</span> <span class="string">" to "</span>
<span class="special"><<</span> <span class="identifier">quantile</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">quiz_real</span><span class="special">,</span> <span class="number">0.25</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span> <span class="comment">// Quartiles 2 to 4.6212
@@ -697,10 +517,7 @@
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"If guessing, then percentiles 1 to 99% will get "</span> <span class="special"><<</span> <span class="identifier">quantile</span><span class="special">(</span><span class="identifier">quiz_real</span><span class="special">,</span> <span class="number">0.01</span><span class="special">)</span>
<span class="special"><<</span> <span class="string">" to "</span> <span class="special"><<</span> <span class="identifier">quantile</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">quiz_real</span><span class="special">,</span> <span class="number">0.01</span><span class="special">))</span> <span class="special"><<</span> <span class="string">" right."</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Real Quantiles
Quartiles 2 to 4.621
1 standard deviation 2.665 to 4.194
@@ -711,8 +528,6 @@
If guessing then percentiles 1 to 99% will get 0 to 7.788 right.
</pre>
<p>
- </p>
-<p>
See binomial_quiz_example.cpp
for full source code and output.
</p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,17 +17,16 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.cs_eg"></a><a class="link" href="cs_eg.html" title="Chi Squared Distribution Examples"> Chi Squared
+<a name="math_toolkit.dist.stat_tut.weg.cs_eg"></a><a class="link" href="cs_eg.html" title="Chi Squared Distribution Examples">Chi Squared
Distribution Examples</a>
</h5></div></div></div>
<div class="toc"><dl>
-<dt><span class="section"><a href="cs_eg/chi_sq_intervals.html">
- Confidence Intervals on the Standard Deviation</a></span></dt>
-<dt><span class="section"><a href="cs_eg/chi_sq_test.html">
- Chi-Square Test for the Standard Deviation</a></span></dt>
-<dt><span class="section"><a href="cs_eg/chi_sq_size.html">
- Estimating the Required Sample Sizes for a Chi-Square Test for the Standard
- Deviation</a></span></dt>
+<dt><span class="section"><a href="cs_eg/chi_sq_intervals.html">Confidence
+ Intervals on the Standard Deviation</a></span></dt>
+<dt><span class="section"><a href="cs_eg/chi_sq_test.html">Chi-Square
+ Test for the Standard Deviation</a></span></dt>
+<dt><span class="section"><a href="cs_eg/chi_sq_size.html">Estimating
+ the Required Sample Sizes for a Chi-Square Test for the Standard Deviation</a></span></dt>
</dl></div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_intervals.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,8 +17,8 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_intervals"></a><a class="link" href="chi_sq_intervals.html" title="Confidence Intervals on the Standard Deviation">
- Confidence Intervals on the Standard Deviation</a>
+<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_intervals"></a><a class="link" href="chi_sq_intervals.html" title="Confidence Intervals on the Standard Deviation">Confidence
+ Intervals on the Standard Deviation</a>
</h6></div></div></div>
<p>
Once you have calculated the standard deviation for your data, a legitimate
@@ -132,7 +132,7 @@
is between 0.00551 and 0.00729.
</p>
<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_intervals.confidence_intervals_as_a_function_of_the_number_of_observations"></a><h5>
-<a name="id1012423"></a>
+<a name="id1014220"></a>
<a class="link" href="chi_sq_intervals.html#math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_intervals.confidence_intervals_as_a_function_of_the_number_of_observations">Confidence
intervals as a function of the number of observations</a>
</h5>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_size.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_size.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_size.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,9 +17,8 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_size"></a><a class="link" href="chi_sq_size.html" title="Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation">
- Estimating the Required Sample Sizes for a Chi-Square Test for the Standard
- Deviation</a>
+<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_size"></a><a class="link" href="chi_sq_size.html" title="Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation">Estimating
+ the Required Sample Sizes for a Chi-Square Test for the Standard Deviation</a>
</h6></div></div></div>
<p>
Suppose we conduct a Chi Squared test for standard deviation and the
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_test.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_test.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/cs_eg/chi_sq_test.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,8 +17,8 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_test"></a><a class="link" href="chi_sq_test.html" title="Chi-Square Test for the Standard Deviation">
- Chi-Square Test for the Standard Deviation</a>
+<a name="math_toolkit.dist.stat_tut.weg.cs_eg.chi_sq_test"></a><a class="link" href="chi_sq_test.html" title="Chi-Square Test for the Standard Deviation">Chi-Square
+ Test for the Standard Deviation</a>
</h6></div></div></div>
<p>
We use this test to determine whether the standard deviation of a sample
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/dist_construct_eg.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,34 +17,28 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.dist_construct_eg"></a><a class="link" href="dist_construct_eg.html" title="Distribution Construction Example">
- Distribution Construction Example</a>
+<a name="math_toolkit.dist.stat_tut.weg.dist_construct_eg"></a><a class="link" href="dist_construct_eg.html" title="Distribution Construction Example">Distribution
+ Construction Example</a>
</h5></div></div></div>
<p>
See distribution_construction.cpp
for full source code.
</p>
<p>
- </p>
-<p>
- The structure of distributions is rather different from some other
- statistical libraries, for example in less object-oriented language
- like FORTRAN and C, that provide a few arguments to each free function.
- This library provides each distribution as a template C++ class. A
- distribution is constructed with a few arguments, and then member and
- non-member functions are used to find values of the distribution, often
- a function of a random variate.
- </p>
-<p>
- </p>
-<p>
- First we need some includes to access the negative binomial distribution
- (and the binomial, beta and gamma too).
- </p>
+ The structure of distributions is rather different from some other statistical
+ libraries, for example in less object-oriented language like FORTRAN
+ and C, that provide a few arguments to each free function. This library
+ provides each distribution as a template C++ class. A distribution is
+ constructed with a few arguments, and then member and non-member functions
+ are used to find values of the distribution, often a function of a random
+ variate.
+ </p>
<p>
- </p>
+ First we need some includes to access the negative binomial distribution
+ (and the binomial, beta and gamma too).
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">distributions</span><span class="special">/</span><span class="identifier">negative_binomial</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span> <span class="comment">// for negative_binomial_distribution
</span> <span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">negative_binomial_distribution</span><span class="special">;</span> <span class="comment">// default type is double.
@@ -54,239 +48,166 @@
</span><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">distributions</span><span class="special">/</span><span class="identifier">gamma</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span> <span class="comment">// for gamma_distribution.
</span><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">distributions</span><span class="special">/</span><span class="identifier">normal</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span> <span class="comment">// for normal_distribution.</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Several examples of constructing distributions follow:
- </p>
-<p>
- </p>
+ </p>
<p>
- First, a negative binomial distribution with 8 successes and a success
- fraction 0.25, 25% or 1 in 4, is constructed like this:
- </p>
+ Several examples of constructing distributions follow:
+ </p>
<p>
- </p>
+ First, a negative binomial distribution with 8 successes and a success
+ fraction 0.25, 25% or 1 in 4, is constructed like this:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">negative_binomial_distribution</span><span class="special"><</span><span class="keyword">double</span><span class="special">></span> <span class="identifier">mydist0</span><span class="special">(</span><span class="number">8.</span><span class="special">,</span> <span class="number">0.25</span><span class="special">);</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- But this is inconveniently long, so by writing
- </p>
+ </p>
<p>
- </p>
+ But this is inconveniently long, so by writing
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- or
- </p>
+ </p>
<p>
- </p>
+ or
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">negative_binomial_distribution</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- we can reduce typing.
- </p>
-<p>
- </p>
+ </p>
<p>
- Since the vast majority of applications use will be using double precision,
- the template argument to the distribution (RealType) defaults to type
- double, so we can also write:
- </p>
+ we can reduce typing.
+ </p>
<p>
- </p>
+ Since the vast majority of applications use will be using double precision,
+ the template argument to the distribution (RealType) defaults to type
+ double, so we can also write:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">negative_binomial_distribution</span><span class="special"><></span> <span class="identifier">mydist9</span><span class="special">(</span><span class="number">8.</span><span class="special">,</span> <span class="number">0.25</span><span class="special">);</span> <span class="comment">// Uses default RealType = double.</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- But the name "negative_binomial_distribution" is still inconveniently
- long, so for most distributions, a convenience typedef is provided,
- for example:
- </p>
+ </p>
<p>
-
-</p>
+ But the name "negative_binomial_distribution" is still inconveniently
+ long, so for most distributions, a convenience typedef is provided, for
+ example:
+ </p>
<pre class="programlisting"><span class="keyword">typedef</span> <span class="identifier">negative_binomial_distribution</span><span class="special"><</span><span class="keyword">double</span><span class="special">></span> <span class="identifier">negative_binomial</span><span class="special">;</span> <span class="comment">// Reserved name of type double.
</span></pre>
-<p>
- </p>
<div class="caution"><table border="0" summary="Caution">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Caution]" src="../../../../images/caution.png"></td>
<th align="left">Caution</th>
</tr>
<tr><td align="left" valign="top"><p>
- This convenience typedef is <span class="emphasis"><em>not</em></span> provided if
- a clash would occur with the name of a function: currently only "beta"
- and "gamma" fall into this category.
- </p></td></tr>
+ This convenience typedef is <span class="emphasis"><em>not</em></span> provided if a
+ clash would occur with the name of a function: currently only "beta"
+ and "gamma" fall into this category.
+ </p></td></tr>
</table></div>
<p>
- </p>
-<p>
- So, after a using statement,
- </p>
-<p>
- </p>
+ So, after a using statement,
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">negative_binomial</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- we have a convenient typedef to <code class="computeroutput"><span class="identifier">negative_binomial_distribution</span><span class="special"><</span><span class="keyword">double</span><span class="special">></span></code>:
- </p>
+ </p>
<p>
- </p>
+ we have a convenient typedef to <code class="computeroutput"><span class="identifier">negative_binomial_distribution</span><span class="special"><</span><span class="keyword">double</span><span class="special">></span></code>:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">negative_binomial</span> <span class="identifier">mydist</span><span class="special">(</span><span class="number">8.</span><span class="special">,</span> <span class="number">0.25</span><span class="special">);</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Some more examples using the convenience typedef:
- </p>
+ </p>
<p>
- </p>
+ Some more examples using the convenience typedef:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">negative_binomial</span> <span class="identifier">mydist10</span><span class="special">(</span><span class="number">5.</span><span class="special">,</span> <span class="number">0.4</span><span class="special">);</span> <span class="comment">// Both arguments double.</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- And automatic conversion takes place, so you can use integers and floats:
- </p>
+ </p>
<p>
- </p>
+ And automatic conversion takes place, so you can use integers and floats:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">negative_binomial</span> <span class="identifier">mydist11</span><span class="special">(</span><span class="number">5</span><span class="special">,</span> <span class="number">0.4</span><span class="special">);</span> <span class="comment">// Using provided typedef double, int and double arguments.</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- This is probably the most common usage.
- </p>
+ </p>
<p>
- </p>
+ This is probably the most common usage.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">negative_binomial</span> <span class="identifier">mydist12</span><span class="special">(</span><span class="number">5.</span><span class="special">,</span> <span class="number">0.4F</span><span class="special">);</span> <span class="comment">// Double and float arguments.
</span><span class="identifier">negative_binomial</span> <span class="identifier">mydist13</span><span class="special">(</span><span class="number">5</span><span class="special">,</span> <span class="number">1</span><span class="special">);</span> <span class="comment">// Both arguments integer.</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Similarly for most other distributions like the binomial.
- </p>
+ </p>
<p>
- </p>
+ Similarly for most other distributions like the binomial.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">binomial</span> <span class="identifier">mybinomial</span><span class="special">(</span><span class="number">1</span><span class="special">,</span> <span class="number">0.5</span><span class="special">);</span> <span class="comment">// is more concise than
</span><span class="identifier">binomial_distribution</span><span class="special"><></span> <span class="identifier">mybinomd1</span><span class="special">(</span><span class="number">1</span><span class="special">,</span> <span class="number">0.5</span><span class="special">);</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- For cases when the typdef distribution name would clash with a math
- special function (currently only beta and gamma) the typedef is deliberately
- not provided, and the longer version of the name must be used. For
- example do not use:
- </p>
+ </p>
<p>
-
-</p>
+ For cases when the typdef distribution name would clash with a math special
+ function (currently only beta and gamma) the typedef is deliberately
+ not provided, and the longer version of the name must be used. For example
+ do not use:
+ </p>
<pre class="programlisting"><span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">beta</span><span class="special">;</span>
<span class="identifier">beta</span> <span class="identifier">mybetad0</span><span class="special">(</span><span class="number">1</span><span class="special">,</span> <span class="number">0.5</span><span class="special">);</span> <span class="comment">// Error beta is a math FUNCTION!
</span></pre>
<p>
- </p>
-<p>
- Which produces the error messages:
- </p>
-<p>
-
-</p>
+ Which produces the error messages:
+ </p>
<pre class="programlisting">error C2146: syntax error : missing ';' before identifier 'mybetad0'
warning C4551: function call missing argument list
error C3861: 'mybetad0': identifier not found
</pre>
<p>
- </p>
-<p>
- Instead you should use:
- </p>
-<p>
- </p>
+ Instead you should use:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">beta_distribution</span><span class="special">;</span>
<span class="identifier">beta_distribution</span><span class="special"><></span> <span class="identifier">mybetad1</span><span class="special">(</span><span class="number">1</span><span class="special">,</span> <span class="number">0.5</span><span class="special">);</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- or for the gamma distribution:
- </p>
+ </p>
<p>
- </p>
+ or for the gamma distribution:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">gamma_distribution</span><span class="special"><></span> <span class="identifier">mygammad1</span><span class="special">(</span><span class="number">1</span><span class="special">,</span> <span class="number">0.5</span><span class="special">);</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- We can, of course, still provide the type explicitly thus:
- </p>
+ </p>
<p>
- </p>
+ We can, of course, still provide the type explicitly thus:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="comment">// Explicit double precision:
</span><span class="identifier">negative_binomial_distribution</span><span class="special"><</span><span class="keyword">double</span><span class="special">></span> <span class="identifier">mydist1</span><span class="special">(</span><span class="number">8.</span><span class="special">,</span> <span class="number">0.25</span><span class="special">);</span>
@@ -309,65 +230,40 @@
<span class="comment">// Explicit long double precision:
</span><span class="identifier">negative_binomial_distribution</span><span class="special"><</span><span class="keyword">long</span> <span class="keyword">double</span><span class="special">></span> <span class="identifier">mydist7</span><span class="special">(</span><span class="number">8.</span><span class="special">,</span> <span class="number">0.25</span><span class="special">);</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- And if you have your own RealType called MyFPType, for example NTL
- RR (an arbitrary precision type), then we can write:
- </p>
+ </p>
<p>
-
-</p>
+ And if you have your own RealType called MyFPType, for example NTL RR
+ (an arbitrary precision type), then we can write:
+ </p>
<pre class="programlisting"><span class="identifier">negative_binomial_distribution</span><span class="special"><</span><span class="identifier">MyFPType</span><span class="special">></span> <span class="identifier">mydist6</span><span class="special">(</span><span class="number">8</span><span class="special">,</span> <span class="number">1</span><span class="special">);</span> <span class="comment">// Integer arguments -> MyFPType.
</span></pre>
-<p>
- <a name="math_toolkit.dist.stat_tut.weg.dist_construct_eg.default_arguments_to_distribution_constructors_"></a>
- </p>
-<h6>
-<a name="id1002149"></a>
- <a class="link" href="dist_construct_eg.html#math_toolkit.dist.stat_tut.weg.dist_construct_eg.default_arguments_to_distribution_constructors_">Default
- arguments to distribution constructors.</a>
- </h6>
-<p>
- </p>
-<p>
- Note that default constructor arguments are only provided for some
- distributions. So if you wrongly assume a default argument you will
- get an error message, for example:
- </p>
-<p>
-
-</p>
+<a name="math_toolkit.dist.stat_tut.weg.dist_construct_eg.default_arguments_to_distribution_constructors_"></a><h6>
+<a name="id1003481"></a>
+ <a class="link" href="dist_construct_eg.html#math_toolkit.dist.stat_tut.weg.dist_construct_eg.default_arguments_to_distribution_constructors_">Default
+ arguments to distribution constructors.</a>
+ </h6>
+<p>
+ Note that default constructor arguments are only provided for some distributions.
+ So if you wrongly assume a default argument you will get an error message,
+ for example:
+ </p>
<pre class="programlisting"><span class="identifier">negative_binomial_distribution</span><span class="special"><></span> <span class="identifier">mydist8</span><span class="special">;</span>
</pre>
-<p>
-
-</p>
<pre class="programlisting">error C2512 no appropriate default constructor available.</pre>
<p>
- </p>
-<p>
- No default constructors are provided for the negative binomial, because
- it is difficult to chose any sensible default values for this distribution.
- For other distributions, like the normal distribution, it is obviously
- very useful to provide 'standard' defaults for the mean and standard
- deviation thus:
- </p>
-<p>
-
-</p>
+ No default constructors are provided for the negative binomial, because
+ it is difficult to chose any sensible default values for this distribution.
+ For other distributions, like the normal distribution, it is obviously
+ very useful to provide 'standard' defaults for the mean and standard
+ deviation thus:
+ </p>
<pre class="programlisting"><span class="identifier">normal_distribution</span><span class="special">(</span><span class="identifier">RealType</span> <span class="identifier">mean</span> <span class="special">=</span> <span class="number">0</span><span class="special">,</span> <span class="identifier">RealType</span> <span class="identifier">sd</span> <span class="special">=</span> <span class="number">1</span><span class="special">);</span>
</pre>
<p>
- </p>
-<p>
- So in this case we can write:
- </p>
-<p>
- </p>
+ So in this case we can write:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"> <span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">normal</span><span class="special">;</span>
@@ -378,13 +274,9 @@
<span class="keyword">return</span> <span class="number">0</span><span class="special">;</span>
<span class="special">}</span> <span class="comment">// int main()</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- There is no useful output from this program, of course.
- </p>
+ </p>
<p>
+ There is no useful output from this program, of course.
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/error_eg.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/error_eg.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/error_eg.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.error_eg"></a><a class="link" href="error_eg.html" title="Error Handling Example"> Error Handling
+<a name="math_toolkit.dist.stat_tut.weg.error_eg"></a><a class="link" href="error_eg.html" title="Error Handling Example">Error Handling
Example</a>
</h5></div></div></div>
<p>
@@ -36,68 +36,43 @@
the policy.
</p>
<p>
- </p>
-<p>
- The following example demonstrates the effect of setting the macro
- BOOST_MATH_DOMAIN_ERROR_POLICY when an invalid argument is encountered.
- For the purposes of this example, we'll pass a negative degrees of
- freedom parameter to the student's t distribution.
- </p>
-<p>
- </p>
-<p>
- Since we know that this is a single file program we could just add:
- </p>
+ The following example demonstrates the effect of setting the macro BOOST_MATH_DOMAIN_ERROR_POLICY
+ when an invalid argument is encountered. For the purposes of this example,
+ we'll pass a negative degrees of freedom parameter to the student's t
+ distribution.
+ </p>
<p>
-
-</p>
+ Since we know that this is a single file program we could just add:
+ </p>
<pre class="programlisting"><span class="preprocessor">#define</span> <span class="identifier">BOOST_MATH_DOMAIN_ERROR_POLICY</span> <span class="identifier">ignore_error</span>
</pre>
<p>
- </p>
-<p>
- to the top of the source file to change the default policy to one that
- simply returns a NaN when a domain error occurs. Alternatively we could
- use:
- </p>
-<p>
-
-</p>
+ to the top of the source file to change the default policy to one that
+ simply returns a NaN when a domain error occurs. Alternatively we could
+ use:
+ </p>
<pre class="programlisting"><span class="preprocessor">#define</span> <span class="identifier">BOOST_MATH_DOMAIN_ERROR_POLICY</span> <span class="identifier">errno_on_error</span>
</pre>
<p>
- </p>
-<p>
- To ensure the <code class="computeroutput"><span class="special">::</span><span class="identifier">errno</span></code>
- is set when a domain error occurs as well as returning a NaN.
- </p>
-<p>
- </p>
-<p>
- This is safe provided the program consists of a single translation
- unit <span class="emphasis"><em>and</em></span> we place the define <span class="emphasis"><em>before</em></span>
- any #includes. Note that should we add the define after the includes
- then it will have no effect! A warning such as:
- </p>
+ To ensure the <code class="computeroutput"><span class="special">::</span><span class="identifier">errno</span></code>
+ is set when a domain error occurs as well as returning a NaN.
+ </p>
<p>
-
-</p>
+ This is safe provided the program consists of a single translation unit
+ <span class="emphasis"><em>and</em></span> we place the define <span class="emphasis"><em>before</em></span>
+ any #includes. Note that should we add the define after the includes
+ then it will have no effect! A warning such as:
+ </p>
<pre class="programlisting">warning C4005: 'BOOST_MATH_OVERFLOW_ERROR_POLICY' : macro redefinition</pre>
<p>
- </p>
-<p>
- is a certain sign that it will <span class="emphasis"><em>not</em></span> have the desired
- effect.
- </p>
-<p>
- </p>
-<p>
- We'll begin our sample program with the needed includes:
- </p>
+ is a certain sign that it will <span class="emphasis"><em>not</em></span> have the desired
+ effect.
+ </p>
<p>
- </p>
+ We'll begin our sample program with the needed includes:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="comment">// Boost
</span><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">distributions</span><span class="special">/</span><span class="identifier">students_t</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span>
@@ -111,18 +86,14 @@
<span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">stdexcept</span><span class="special">></span>
<span class="keyword">using</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">exception</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Next we'll define the program's main() to call the student's t distribution
- with an invalid degrees of freedom parameter, the program is set up
- to handle either an exception or a NaN:
- </p>
+ </p>
<p>
- </p>
+ Next we'll define the program's main() to call the student's t distribution
+ with an invalid degrees of freedom parameter, the program is set up to
+ handle either an exception or a NaN:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
<span class="special">{</span>
@@ -156,16 +127,11 @@
<span class="keyword">return</span> <span class="number">0</span><span class="special">;</span>
<span class="special">}</span> <span class="comment">// int main()</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Here's what the program output looks like with a default build (one
- that does throw exceptions):
- </p>
+ </p>
<p>
-
-</p>
+ Here's what the program output looks like with a default build (one that
+ does throw exceptions):
+ </p>
<pre class="programlisting">Example error handling using Student's t function.
BOOST_MATH_DOMAIN_ERROR_POLICY is set to: throw_on_error
@@ -174,53 +140,31 @@
Degrees of freedom argument is -1, but must be > 0 !
</pre>
<p>
- </p>
-<p>
- Alternatively let's build with:
- </p>
-<p>
-
-</p>
+ Alternatively let's build with:
+ </p>
<pre class="programlisting"><span class="preprocessor">#define</span> <span class="identifier">BOOST_MATH_DOMAIN_ERROR_POLICY</span> <span class="identifier">ignore_error</span>
</pre>
<p>
- </p>
-<p>
- Now the program output is:
- </p>
-<p>
-
-</p>
+ Now the program output is:
+ </p>
<pre class="programlisting">Example error handling using Student's t function.
BOOST_MATH_DOMAIN_ERROR_POLICY is set to: ignore_error
cdf returned a NaN!
errno is set to: 0
</pre>
<p>
- </p>
-<p>
- And finally let's build with:
- </p>
-<p>
-
-</p>
+ And finally let's build with:
+ </p>
<pre class="programlisting"><span class="preprocessor">#define</span> <span class="identifier">BOOST_MATH_DOMAIN_ERROR_POLICY</span> <span class="identifier">errno_on_error</span>
</pre>
<p>
- </p>
-<p>
- Which gives the output:
- </p>
-<p>
-
-</p>
+ Which gives the output:
+ </p>
<pre class="programlisting">Example error handling using Student's t function.
BOOST_MATH_DOMAIN_ERROR_POLICY is set to: errno_on_error
cdf returned a NaN!
errno is set to: 33
</pre>
-<p>
- </p>
<div class="caution"><table border="0" summary="Caution">
<tr>
<td rowspan="2" align="center" valign="top" width="25"><img alt="[Caution]" src="../../../../images/caution.png"></td>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/f_eg.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/f_eg.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/f_eg.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.f_eg"></a><a class="link" href="f_eg.html" title="F Distribution Examples"> F Distribution
+<a name="math_toolkit.dist.stat_tut.weg.f_eg"></a><a class="link" href="f_eg.html" title="F Distribution Examples">F Distribution
Examples</a>
</h5></div></div></div>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,16 +17,16 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.find_eg"></a><a class="link" href="find_eg.html" title="Find Location and Scale Examples"> Find Location
+<a name="math_toolkit.dist.stat_tut.weg.find_eg"></a><a class="link" href="find_eg.html" title="Find Location and Scale Examples">Find Location
and Scale Examples</a>
</h5></div></div></div>
<div class="toc"><dl>
-<dt><span class="section"><a href="find_eg/find_location_eg.html">
- Find Location (Mean) Example</a></span></dt>
-<dt><span class="section"><a href="find_eg/find_scale_eg.html">
- Find Scale (Standard Deviation) Example</a></span></dt>
-<dt><span class="section"><a href="find_eg/find_mean_and_sd_eg.html">
- Find mean and standard deviation example</a></span></dt>
+<dt><span class="section"><a href="find_eg/find_location_eg.html">Find
+ Location (Mean) Example</a></span></dt>
+<dt><span class="section"><a href="find_eg/find_scale_eg.html">Find
+ Scale (Standard Deviation) Example</a></span></dt>
+<dt><span class="section"><a href="find_eg/find_mean_and_sd_eg.html">Find
+ mean and standard deviation example</a></span></dt>
</dl></div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_location_eg.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,19 +17,15 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg"></a><a class="link" href="find_location_eg.html" title="Find Location (Mean) Example">
- Find Location (Mean) Example</a>
+<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg"></a><a class="link" href="find_location_eg.html" title="Find Location (Mean) Example">Find
+ Location (Mean) Example</a>
</h6></div></div></div>
<p>
- </p>
-<p>
- First we need some includes to access the normal distribution, the
- algorithms to find location (and some std output of course).
- </p>
-<p>
- </p>
+ First we need some includes to access the normal distribution, the
+ algorithms to find location (and some std output of course).
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">distributions</span><span class="special">/</span><span class="identifier">normal</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span> <span class="comment">// for normal_distribution
</span> <span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">normal</span><span class="special">;</span> <span class="comment">// typedef provides default type is double.
@@ -50,34 +46,26 @@
<span class="keyword">using</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">;</span>
</pre>
<p>
- </p>
-<p>
- </p>
-<p>
- For this example, we will use the standard normal distribution, with
- mean (location) zero and standard deviation (scale) unity. This is
- also the default for this implementation.
- </p>
+ </p>
<p>
- </p>
+ For this example, we will use the standard normal distribution, with
+ mean (location) zero and standard deviation (scale) unity. This is
+ also the default for this implementation.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">normal</span> <span class="identifier">N01</span><span class="special">;</span> <span class="comment">// Default 'standard' normal distribution with zero mean and
</span><span class="keyword">double</span> <span class="identifier">sd</span> <span class="special">=</span> <span class="number">1.</span><span class="special">;</span> <span class="comment">// normal default standard deviation is 1.</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Suppose we want to find a different normal distribution whose mean
- is shifted so that only fraction p (here 0.001 or 0.1%) are below
- a certain chosen limit (here -2, two standard deviations).
- </p>
+ </p>
<p>
- </p>
+ Suppose we want to find a different normal distribution whose mean
+ is shifted so that only fraction p (here 0.001 or 0.1%) are below a
+ certain chosen limit (here -2, two standard deviations).
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">z</span> <span class="special">=</span> <span class="special">-</span><span class="number">2.</span><span class="special">;</span> <span class="comment">// z to give prob p
</span><span class="keyword">double</span> <span class="identifier">p</span> <span class="special">=</span> <span class="number">0.001</span><span class="special">;</span> <span class="comment">// only 0.1% below z
@@ -91,66 +79,44 @@
<span class="special"><<</span> <span class="string">", has "</span> <span class="special"><<</span> <span class="string">"fraction > "</span> <span class="special"><<</span> <span class="identifier">z</span>
<span class="special"><<</span> <span class="string">", p = "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">N01</span><span class="special">,</span> <span class="identifier">z</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span> <span class="comment">// Note: uses complement.</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Normal distribution with mean = 0, standard deviation 1, has fraction <= -2, p = 0.0227501
Normal distribution with mean = 0, standard deviation 1, has fraction > -2, p = 0.97725
</pre>
<p>
- </p>
-<p>
- We can now use ''find_location'' to give a new offset mean.
- </p>
-<p>
- </p>
+ We can now use ''find_location'' to give a new offset mean.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">l</span> <span class="special">=</span> <span class="identifier">find_location</span><span class="special"><</span><span class="identifier">normal</span><span class="special">>(</span><span class="identifier">z</span><span class="special">,</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">sd</span><span class="special">);</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"offset location (mean) = "</span> <span class="special"><<</span> <span class="identifier">l</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- that outputs:
- </p>
+ </p>
<p>
-
-</p>
+ that outputs:
+ </p>
<pre class="programlisting">offset location (mean) = 1.09023
</pre>
<p>
- </p>
-<p>
- showing that we need to shift the mean just over one standard deviation
- from its previous value of zero.
- </p>
-<p>
- </p>
-<p>
- Then we can check that we have achieved our objective by constructing
- a new distribution with the offset mean (but same standard deviation):
- </p>
+ showing that we need to shift the mean just over one standard deviation
+ from its previous value of zero.
+ </p>
<p>
- </p>
+ Then we can check that we have achieved our objective by constructing
+ a new distribution with the offset mean (but same standard deviation):
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">normal</span> <span class="identifier">np001pc</span><span class="special">(</span><span class="identifier">l</span><span class="special">,</span> <span class="identifier">sd</span><span class="special">);</span> <span class="comment">// Same standard_deviation (scale) but with mean (location) shifted.</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- And re-calculating the fraction below our chosen limit.
- </p>
+ </p>
<p>
- </p>
+ And re-calculating the fraction below our chosen limit.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Normal distribution with mean = "</span> <span class="special"><<</span> <span class="identifier">l</span>
<span class="special"><<</span> <span class="string">" has "</span> <span class="special"><<</span> <span class="string">"fraction <= "</span> <span class="special"><<</span> <span class="identifier">z</span>
@@ -159,53 +125,37 @@
<span class="special"><<</span> <span class="string">" has "</span> <span class="special"><<</span> <span class="string">"fraction > "</span> <span class="special"><<</span> <span class="identifier">z</span>
<span class="special"><<</span> <span class="string">", p = "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">np001pc</span><span class="special">,</span> <span class="identifier">z</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Normal distribution with mean = 1.09023 has fraction <= -2, p = 0.001
Normal distribution with mean = 1.09023 has fraction > -2, p = 0.999
</pre>
+<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg.controlling_error_handling_from_find_location"></a><h5>
+<a name="id1065940"></a>
+ <a class="link" href="find_location_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg.controlling_error_handling_from_find_location">Controlling
+ Error Handling from find_location</a>
+ </h5>
+<p>
+ We can also control the policy for handling various errors. For example,
+ we can define a new (possibly unwise) policy to ignore domain errors
+ ('bad' arguments).
+ </p>
<p>
- <a name="math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg.controlling_error_handling_from_find_location"></a>
- </p>
-<h5>
-<a name="id1065622"></a>
- <a class="link" href="find_location_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_location_eg.controlling_error_handling_from_find_location">Controlling
- Error Handling from find_location</a>
- </h5>
-<p>
- </p>
-<p>
- We can also control the policy for handling various errors. For example,
- we can define a new (possibly unwise) policy to ignore domain errors
- ('bad' arguments).
- </p>
-<p>
- </p>
-<p>
- Unless we are using the boost::math namespace, we will need:
- </p>
-<p>
- </p>
+ Unless we are using the boost::math namespace, we will need:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">policy</span><span class="special">;</span>
<span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">domain_error</span><span class="special">;</span>
<span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">ignore_error</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Using a typedef is often convenient, especially if it is re-used,
- although it is not required, as the various examples below show.
- </p>
+ </p>
<p>
- </p>
+ Using a typedef is often convenient, especially if it is re-used, although
+ it is not required, as the various examples below show.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">typedef</span> <span class="identifier">policy</span><span class="special"><</span><span class="identifier">domain_error</span><span class="special"><</span><span class="identifier">ignore_error</span><span class="special">></span> <span class="special">></span> <span class="identifier">ignore_domain_policy</span><span class="special">;</span>
<span class="comment">// find_location with new policy, using typedef.
@@ -217,19 +167,15 @@
<span class="comment">// A new policy, ignoring domain errors, without using a typedef.
</span><span class="identifier">l</span> <span class="special">=</span> <span class="identifier">find_location</span><span class="special"><</span><span class="identifier">normal</span><span class="special">>(</span><span class="identifier">z</span><span class="special">,</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">sd</span><span class="special">,</span> <span class="identifier">policy</span><span class="special"><</span><span class="identifier">domain_error</span><span class="special"><</span><span class="identifier">ignore_error</span><span class="special">></span> <span class="special">>());</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- If we want to use a probability that is the <a class="link" href="../../overview.html#complements">complement
- of our probability</a>, we should not even think of writing <code class="computeroutput"><span class="identifier">find_location</span><span class="special"><</span><span class="identifier">normal</span><span class="special">>(</span><span class="identifier">z</span><span class="special">,</span> <span class="number">1</span> <span class="special">-</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">sd</span><span class="special">)</span></code>,
- but, <a class="link" href="../../overview.html#why_complements">to avoid loss of accuracy</a>,
- use the complement version.
- </p>
+ </p>
<p>
- </p>
+ If we want to use a probability that is the <a class="link" href="../../overview.html#complements">complement
+ of our probability</a>, we should not even think of writing <code class="computeroutput"><span class="identifier">find_location</span><span class="special"><</span><span class="identifier">normal</span><span class="special">>(</span><span class="identifier">z</span><span class="special">,</span> <span class="number">1</span> <span class="special">-</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">sd</span><span class="special">)</span></code>,
+ but, <a class="link" href="../../overview.html#why_complements">to avoid loss of accuracy</a>,
+ use the complement version.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">z</span> <span class="special">=</span> <span class="number">2.</span><span class="special">;</span>
<span class="keyword">double</span> <span class="identifier">q</span> <span class="special">=</span> <span class="number">0.95</span><span class="special">;</span> <span class="comment">// = 1 - p; // complement.
@@ -242,11 +188,11 @@
<span class="special"><<</span> <span class="string">"fraction > "</span> <span class="special"><<</span> <span class="identifier">z</span> <span class="special"><<</span> <span class="string">" = "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">np95pc</span><span class="special">,</span> <span class="identifier">z</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
</pre>
<p>
- </p>
+ </p>
<p>
See find_location_example.cpp
- for full source code: the program output looks like this:
-</p>
+ for full source code: the program output looks like this:
+ </p>
<pre class="programlisting">Example: Find location (mean).
Normal distribution with mean = 0, standard deviation 1, has fraction <= -2, p = 0.0227501
Normal distribution with mean = 0, standard deviation 1, has fraction > -2, p = 0.97725
@@ -256,8 +202,6 @@
Normal distribution with mean = 0.355146 has fraction <= 2 = 0.95
Normal distribution with mean = 0.355146 has fraction > 2 = 0.05
</pre>
-<p>
- </p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_mean_and_sd_eg.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,19 +17,15 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg"></a><a class="link" href="find_mean_and_sd_eg.html" title="Find mean and standard deviation example">
- Find mean and standard deviation example</a>
+<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg"></a><a class="link" href="find_mean_and_sd_eg.html" title="Find mean and standard deviation example">Find
+ mean and standard deviation example</a>
</h6></div></div></div>
<p>
- </p>
-<p>
- First we need some includes to access the normal distribution, the
- algorithms to find location and scale (and some std output of course).
- </p>
-<p>
- </p>
+ First we need some includes to access the normal distribution, the
+ algorithms to find location and scale (and some std output of course).
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">distributions</span><span class="special">/</span><span class="identifier">normal</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span> <span class="comment">// for normal_distribution
</span> <span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">normal</span><span class="special">;</span> <span class="comment">// typedef provides default type is double.
@@ -50,108 +46,78 @@
<span class="keyword">using</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">;</span>
</pre>
<p>
- </p>
-<p>
- <a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_find_location_and_find_scale_to_meet_dispensing_and_measurement_specifications"></a>
- </p>
-<h5>
-<a name="id1070813"></a>
- <a class="link" href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_find_location_and_find_scale_to_meet_dispensing_and_measurement_specifications">Using
- find_location and find_scale to meet dispensing and measurement specifications</a>
- </h5>
-<p>
- </p>
-<p>
- Consider an example from K Krishnamoorthy, Handbook of Statistical
- Distributions with Applications, ISBN 1-58488-635-8, (2006) p 126,
- example 10.3.7.
- </p>
-<p>
- </p>
-<p>
- "A machine is set to pack 3 kg of ground beef per pack. Over
- a long period of time it is found that the average packed was 3 kg
- with a standard deviation of 0.1 kg. Assume the packing is normally
- distributed."
- </p>
-<p>
- </p>
+ </p>
+<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_find_location_and_find_scale_to_meet_dispensing_and_measurement_specifications"></a><h5>
+<a name="id1071609"></a>
+ <a class="link" href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_find_location_and_find_scale_to_meet_dispensing_and_measurement_specifications">Using
+ find_location and find_scale to meet dispensing and measurement specifications</a>
+ </h5>
+<p>
+ Consider an example from K Krishnamoorthy, Handbook of Statistical
+ Distributions with Applications, ISBN 1-58488-635-8, (2006) p 126,
+ example 10.3.7.
+ </p>
<p>
- We start by constructing a normal distribution with the given parameters:
- </p>
+ "A machine is set to pack 3 kg of ground beef per pack. Over a
+ long period of time it is found that the average packed was 3 kg with
+ a standard deviation of 0.1 kg. Assume the packing is normally distributed."
+ </p>
<p>
- </p>
+ We start by constructing a normal distribution with the given parameters:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">mean</span> <span class="special">=</span> <span class="number">3.</span><span class="special">;</span> <span class="comment">// kg
</span><span class="keyword">double</span> <span class="identifier">standard_deviation</span> <span class="special">=</span> <span class="number">0.1</span><span class="special">;</span> <span class="comment">// kg
</span><span class="identifier">normal</span> <span class="identifier">packs</span><span class="special">(</span><span class="identifier">mean</span><span class="special">,</span> <span class="identifier">standard_deviation</span><span class="special">);</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- We can then find the fraction (or %) of packages that weigh more
- than 3.1 kg.
- </p>
+ </p>
<p>
- </p>
+ We can then find the fraction (or %) of packages that weigh more than
+ 3.1 kg.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">max_weight</span> <span class="special">=</span> <span class="number">3.1</span><span class="special">;</span> <span class="comment">// kg
</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Percentage of packs > "</span> <span class="special"><<</span> <span class="identifier">max_weight</span> <span class="special"><<</span> <span class="string">" is "</span>
<span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">packs</span><span class="special">,</span> <span class="identifier">max_weight</span><span class="special">))</span> <span class="special">*</span> <span class="number">100.</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span> <span class="comment">// P(X > 3.1)</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- We might want to ensure that 95% of packs are over a minimum weight
- specification, then we want the value of the mean such that P(X <
- 2.9) = 0.05.
- </p>
-<p>
- </p>
+ </p>
<p>
- Using the mean of 3 kg, we can estimate the fraction of packs that
- fail to meet the specification of 2.9 kg.
- </p>
+ We might want to ensure that 95% of packs are over a minimum weight
+ specification, then we want the value of the mean such that P(X <
+ 2.9) = 0.05.
+ </p>
<p>
- </p>
+ Using the mean of 3 kg, we can estimate the fraction of packs that
+ fail to meet the specification of 2.9 kg.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">minimum_weight</span> <span class="special">=</span> <span class="number">2.9</span><span class="special">;</span>
<span class="identifier">cout</span> <span class="special"><<</span><span class="string">"Fraction of packs <= "</span> <span class="special"><<</span> <span class="identifier">minimum_weight</span> <span class="special"><<</span> <span class="string">" with a mean of "</span> <span class="special"><<</span> <span class="identifier">mean</span>
<span class="special"><<</span> <span class="string">" is "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">packs</span><span class="special">,</span> <span class="identifier">minimum_weight</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="comment">// fraction of packs <= 2.9 with a mean of 3 is 0.841345</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- This is 0.84 - more than the target fraction of 0.95. If we want
- 95% to be over the minimum weight, what should we set the mean weight
- to be?
- </p>
-<p>
- </p>
-<p>
- Using the KK StatCalc program supplied with the book and the method
- given on page 126 gives 3.06449.
- </p>
+ </p>
<p>
- </p>
+ This is 0.84 - more than the target fraction of 0.95. If we want 95%
+ to be over the minimum weight, what should we set the mean weight to
+ be?
+ </p>
<p>
- We can confirm this by constructing a new distribution which we call
- 'xpacks' with a safety margin mean of 3.06449 thus:
- </p>
+ Using the KK StatCalc program supplied with the book and the method
+ given on page 126 gives 3.06449.
+ </p>
<p>
- </p>
+ We can confirm this by constructing a new distribution which we call
+ 'xpacks' with a safety margin mean of 3.06449 thus:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">over_mean</span> <span class="special">=</span> <span class="number">3.06449</span><span class="special">;</span>
<span class="identifier">normal</span> <span class="identifier">xpacks</span><span class="special">(</span><span class="identifier">over_mean</span><span class="special">,</span> <span class="identifier">standard_deviation</span><span class="special">);</span>
@@ -160,17 +126,13 @@
<span class="special"><<</span> <span class="string">" is "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">xpacks</span><span class="special">,</span> <span class="identifier">minimum_weight</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="comment">// fraction of packs >= 2.9 with a mean of 3.06449 is 0.950005</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Using this Math Toolkit, we can calculate the required mean directly
- thus:
- </p>
+ </p>
<p>
- </p>
+ Using this Math Toolkit, we can calculate the required mean directly
+ thus:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">under_fraction</span> <span class="special">=</span> <span class="number">0.05</span><span class="special">;</span> <span class="comment">// so 95% are above the minimum weight mean - sd = 2.9
</span><span class="keyword">double</span> <span class="identifier">low_limit</span> <span class="special">=</span> <span class="identifier">standard_deviation</span><span class="special">;</span>
@@ -184,94 +146,69 @@
<span class="special"><<</span> <span class="string">" is "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">nominal_packs</span><span class="special">,</span> <span class="identifier">minimum_weight</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="comment">// Setting the packer to 3.06449 will mean that fraction of packs >= 2.9 is 0.95</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- This calculation is generalized as the free function called <a class="link" href="../../../dist_ref/dist_algorithms.html" title="Distribution Algorithms">find_location</a>.
- </p>
-<p>
- </p>
+ </p>
<p>
- To use this we will need to
- </p>
+ This calculation is generalized as the free function called <a class="link" href="../../../dist_ref/dist_algorithms.html" title="Distribution Algorithms">find_location</a>.
+ </p>
<p>
- </p>
+ To use this we will need to
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">distributions</span><span class="special">/</span><span class="identifier">find_location</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span>
<span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">find_location</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- and then use find_location function to find safe_mean, & construct
- a new normal distribution called 'goodpacks'.
- </p>
+ </p>
<p>
- </p>
+ and then use find_location function to find safe_mean, & construct
+ a new normal distribution called 'goodpacks'.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">safe_mean</span> <span class="special">=</span> <span class="identifier">find_location</span><span class="special"><</span><span class="identifier">normal</span><span class="special">>(</span><span class="identifier">minimum_weight</span><span class="special">,</span> <span class="identifier">under_fraction</span><span class="special">,</span> <span class="identifier">standard_deviation</span><span class="special">);</span>
<span class="identifier">normal</span> <span class="identifier">good_packs</span><span class="special">(</span><span class="identifier">safe_mean</span><span class="special">,</span> <span class="identifier">standard_deviation</span><span class="special">);</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- with the same confirmation as before:
- </p>
+ </p>
<p>
- </p>
+ with the same confirmation as before:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Setting the packer to "</span> <span class="special"><<</span> <span class="identifier">nominal_mean</span> <span class="special"><<</span> <span class="string">" will mean that "</span>
<span class="special"><<</span> <span class="string">"fraction of packs >= "</span> <span class="special"><<</span> <span class="identifier">minimum_weight</span>
<span class="special"><<</span> <span class="string">" is "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">good_packs</span><span class="special">,</span> <span class="identifier">minimum_weight</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="comment">// Setting the packer to 3.06449 will mean that fraction of packs >= 2.9 is 0.95</span></pre>
<p>
- </p>
+ </p>
+<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_cauchy_lorentz_instead_of_normal_distribution"></a><h5>
+<a name="id1072790"></a>
+ <a class="link" href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_cauchy_lorentz_instead_of_normal_distribution">Using
+ Cauchy-Lorentz instead of normal distribution</a>
+ </h5>
+<p>
+ After examining the weight distribution of a large number of packs,
+ we might decide that, after all, the assumption of a normal distribution
+ is not really justified. We might find that the fit is better to a
+ <a class="link" href="../../../dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
+ Distribution</a>. This distribution has wider 'wings', so that whereas
+ most of the values are closer to the mean than the normal, there are
+ also more values than 'normal' that lie further from the mean than
+ the normal.
+ </p>
<p>
- <a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_cauchy_lorentz_instead_of_normal_distribution"></a>
- </p>
-<h5>
-<a name="id1071994"></a>
- <a class="link" href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.using_cauchy_lorentz_instead_of_normal_distribution">Using
- Cauchy-Lorentz instead of normal distribution</a>
- </h5>
-<p>
- </p>
-<p>
- After examining the weight distribution of a large number of packs,
- we might decide that, after all, the assumption of a normal distribution
- is not really justified. We might find that the fit is better to
- a <a class="link" href="../../../dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
- Distribution</a>. This distribution has wider 'wings', so that
- whereas most of the values are closer to the mean than the normal,
- there are also more values than 'normal' that lie further from the
- mean than the normal.
- </p>
-<p>
- </p>
-<p>
- This might happen because a larger than normal lump of meat is either
- included or excluded.
- </p>
-<p>
- </p>
-<p>
- We first create a <a class="link" href="../../../dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
- Distribution</a> with the original mean and standard deviation,
- and estimate the fraction that lie below our minimum weight specification.
- </p>
+ This might happen because a larger than normal lump of meat is either
+ included or excluded.
+ </p>
<p>
- </p>
+ We first create a <a class="link" href="../../../dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
+ Distribution</a> with the original mean and standard deviation,
+ and estimate the fraction that lie below our minimum weight specification.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cauchy</span> <span class="identifier">cpacks</span><span class="special">(</span><span class="identifier">mean</span><span class="special">,</span> <span class="identifier">standard_deviation</span><span class="special">);</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Cauchy Setting the packer to "</span> <span class="special"><<</span> <span class="identifier">mean</span> <span class="special"><<</span> <span class="string">" will mean that "</span>
@@ -279,39 +216,29 @@
<span class="special"><<</span> <span class="string">" is "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">cpacks</span><span class="special">,</span> <span class="identifier">minimum_weight</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="comment">// Cauchy Setting the packer to 3 will mean that fraction of packs >= 2.9 is 0.75</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Note that far fewer of the packs meet the specification, only 75%
- instead of 95%. Now we can repeat the find_location, using the cauchy
- distribution as template parameter, in place of the normal used above.
- </p>
+ </p>
<p>
- </p>
+ Note that far fewer of the packs meet the specification, only 75% instead
+ of 95%. Now we can repeat the find_location, using the cauchy distribution
+ as template parameter, in place of the normal used above.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">lc</span> <span class="special">=</span> <span class="identifier">find_location</span><span class="special"><</span><span class="identifier">cauchy</span><span class="special">>(</span><span class="identifier">minimum_weight</span><span class="special">,</span> <span class="identifier">under_fraction</span><span class="special">,</span> <span class="identifier">standard_deviation</span><span class="special">);</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"find_location<cauchy>(minimum_weight, over fraction, standard_deviation); "</span> <span class="special"><<</span> <span class="identifier">lc</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="comment">// find_location<cauchy>(minimum_weight, over fraction, packs.standard_deviation()); 3.53138</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Note that the safe_mean setting needs to be much higher, 3.53138
- instead of 3.06449, so we will make rather less profit.
- </p>
-<p>
- </p>
+ </p>
<p>
- And again confirm that the fraction meeting specification is as expected.
- </p>
+ Note that the safe_mean setting needs to be much higher, 3.53138 instead
+ of 3.06449, so we will make rather less profit.
+ </p>
<p>
- </p>
+ And again confirm that the fraction meeting specification is as expected.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cauchy</span> <span class="identifier">goodcpacks</span><span class="special">(</span><span class="identifier">lc</span><span class="special">,</span> <span class="identifier">standard_deviation</span><span class="special">);</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Cauchy Setting the packer to "</span> <span class="special"><<</span> <span class="identifier">lc</span> <span class="special"><<</span> <span class="string">" will mean that "</span>
@@ -319,17 +246,13 @@
<span class="special"><<</span> <span class="string">" is "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">goodcpacks</span><span class="special">,</span> <span class="identifier">minimum_weight</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="comment">// Cauchy Setting the packer to 3.53138 will mean that fraction of packs >= 2.9 is 0.95</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Finally we could estimate the effect of a much tighter specification,
- that 99% of packs met the specification.
- </p>
+ </p>
<p>
- </p>
+ Finally we could estimate the effect of a much tighter specification,
+ that 99% of packs met the specification.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Cauchy Setting the packer to "</span>
<span class="special"><<</span> <span class="identifier">find_location</span><span class="special"><</span><span class="identifier">cauchy</span><span class="special">>(</span><span class="identifier">minimum_weight</span><span class="special">,</span> <span class="number">0.99</span><span class="special">,</span> <span class="identifier">standard_deviation</span><span class="special">)</span>
@@ -337,114 +260,81 @@
<span class="special"><<</span> <span class="string">"fraction of packs >= "</span> <span class="special"><<</span> <span class="identifier">minimum_weight</span>
<span class="special"><<</span> <span class="string">" is "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">goodcpacks</span><span class="special">,</span> <span class="identifier">minimum_weight</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Setting the packer to 3.13263 will mean that fraction of packs >=
- 2.9 is 0.99, but will more than double the mean loss from 0.0644
- to 0.133 kg per pack.
- </p>
-<p>
- </p>
-<p>
- Of course, this calculation is not limited to packs of meat, it applies
- to dispensing anything, and it also applies to a 'virtual' material
- like any measurement.
- </p>
-<p>
- </p>
-<p>
- The only caveat is that the calculation assumes that the standard
- deviation (scale) is known with a reasonably low uncertainty, something
- that is not so easy to ensure in practice. And that the distribution
- is well defined, <a class="link" href="../../../dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
- Distribution</a> or <a class="link" href="../../../dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
- Distribution</a>, or some other.
- </p>
-<p>
- </p>
-<p>
- If one is simply dispensing a very large number of packs, then it
- may be feasible to measure the weight of hundreds or thousands of
- packs. With a healthy 'degrees of freedom', the confidence intervals
- for the standard deviation are not too wide, typically about + and
- - 10% for hundreds of observations.
- </p>
-<p>
- </p>
-<p>
- For other applications, where it is more difficult or expensive to
- make many observations, the confidence intervals are depressingly
- wide.
- </p>
-<p>
- </p>
+ </p>
<p>
- See <a class="link" href="../cs_eg/chi_sq_intervals.html" title="Confidence Intervals on the Standard Deviation">Confidence
- Intervals on the standard deviation</a> for a worked example
- chi_square_std_dev_test.cpp
- of estimating these intervals.
- </p>
+ Setting the packer to 3.13263 will mean that fraction of packs >=
+ 2.9 is 0.99, but will more than double the mean loss from 0.0644 to
+ 0.133 kg per pack.
+ </p>
<p>
- <a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.changing_the_scale_or_standard_deviation"></a>
- </p>
-<h5>
-<a name="id1072718"></a>
- <a class="link" href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.changing_the_scale_or_standard_deviation">Changing
- the scale or standard deviation</a>
- </h5>
+ Of course, this calculation is not limited to packs of meat, it applies
+ to dispensing anything, and it also applies to a 'virtual' material
+ like any measurement.
+ </p>
<p>
- </p>
+ The only caveat is that the calculation assumes that the standard deviation
+ (scale) is known with a reasonably low uncertainty, something that
+ is not so easy to ensure in practice. And that the distribution is
+ well defined, <a class="link" href="../../../dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
+ Distribution</a> or <a class="link" href="../../../dist_ref/dists/cauchy_dist.html" title="Cauchy-Lorentz Distribution">Cauchy
+ Distribution</a>, or some other.
+ </p>
<p>
- Alternatively, we could invest in a better (more precise) packer
- (or measuring device) with a lower standard deviation, or scale.
- </p>
+ If one is simply dispensing a very large number of packs, then it may
+ be feasible to measure the weight of hundreds or thousands of packs.
+ With a healthy 'degrees of freedom', the confidence intervals for the
+ standard deviation are not too wide, typically about + and - 10% for
+ hundreds of observations.
+ </p>
<p>
- </p>
+ For other applications, where it is more difficult or expensive to
+ make many observations, the confidence intervals are depressingly wide.
+ </p>
<p>
- This might cost more, but would reduce the amount we have to 'give
- away' in order to meet the specification.
- </p>
+ See <a class="link" href="../cs_eg/chi_sq_intervals.html" title="Confidence Intervals on the Standard Deviation">Confidence
+ Intervals on the standard deviation</a> for a worked example chi_square_std_dev_test.cpp
+ of estimating these intervals.
+ </p>
+<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.changing_the_scale_or_standard_deviation"></a><h5>
+<a name="id1073787"></a>
+ <a class="link" href="find_mean_and_sd_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_mean_and_sd_eg.changing_the_scale_or_standard_deviation">Changing
+ the scale or standard deviation</a>
+ </h5>
<p>
- </p>
+ Alternatively, we could invest in a better (more precise) packer (or
+ measuring device) with a lower standard deviation, or scale.
+ </p>
<p>
- To estimate how much better (how much smaller standard deviation)
- it would have to be, we need to get the 5% quantile to be located
- at the under_weight limit, 2.9
- </p>
+ This might cost more, but would reduce the amount we have to 'give
+ away' in order to meet the specification.
+ </p>
<p>
- </p>
+ To estimate how much better (how much smaller standard deviation) it
+ would have to be, we need to get the 5% quantile to be located at the
+ under_weight limit, 2.9
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">p</span> <span class="special">=</span> <span class="number">0.05</span><span class="special">;</span> <span class="comment">// wanted p th quantile.
</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Quantile of "</span> <span class="special"><<</span> <span class="identifier">p</span> <span class="special"><<</span> <span class="string">" = "</span> <span class="special"><<</span> <span class="identifier">quantile</span><span class="special">(</span><span class="identifier">packs</span><span class="special">,</span> <span class="identifier">p</span><span class="special">)</span>
<span class="special"><<</span> <span class="string">", mean = "</span> <span class="special"><<</span> <span class="identifier">packs</span><span class="special">.</span><span class="identifier">mean</span><span class="special">()</span> <span class="special"><<</span> <span class="string">", sd = "</span> <span class="special"><<</span> <span class="identifier">packs</span><span class="special">.</span><span class="identifier">standard_deviation</span><span class="special">()</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Quantile of 0.05 = 2.83551, mean = 3, sd = 0.1
- </p>
-<p>
- </p>
-<p>
- With the current packer (mean = 3, sd = 0.1), the 5% quantile is
- at 2.8551 kg, a little below our target of 2.9 kg. So we know that
- the standard deviation is going to have to be smaller.
- </p>
+ </p>
<p>
- </p>
+ Quantile of 0.05 = 2.83551, mean = 3, sd = 0.1
+ </p>
<p>
- Let's start by guessing that it (now 0.1) needs to be halved, to
- a standard deviation of 0.05 kg.
- </p>
+ With the current packer (mean = 3, sd = 0.1), the 5% quantile is at
+ 2.8551 kg, a little below our target of 2.9 kg. So we know that the
+ standard deviation is going to have to be smaller.
+ </p>
<p>
- </p>
+ Let's start by guessing that it (now 0.1) needs to be halved, to a
+ standard deviation of 0.05 kg.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">normal</span> <span class="identifier">pack05</span><span class="special">(</span><span class="identifier">mean</span><span class="special">,</span> <span class="number">0.05</span><span class="special">);</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Quantile of "</span> <span class="special"><<</span> <span class="identifier">p</span> <span class="special"><<</span> <span class="string">" = "</span> <span class="special"><<</span> <span class="identifier">quantile</span><span class="special">(</span><span class="identifier">pack05</span><span class="special">,</span> <span class="identifier">p</span><span class="special">)</span>
@@ -456,20 +346,15 @@
<span class="special"><<</span> <span class="string">" is "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">pack05</span><span class="special">,</span> <span class="identifier">minimum_weight</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="comment">// Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.05 is 0.97725</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- So 0.05 was quite a good guess, but we are a little over the 2.9
- target, so the standard deviation could be a tiny bit more. So we
- could do some more guessing to get closer, say by increasing standard
- deviation to 0.06 kg, constructing another new distribution called
- pack06.
- </p>
+ </p>
<p>
- </p>
+ So 0.05 was quite a good guess, but we are a little over the 2.9 target,
+ so the standard deviation could be a tiny bit more. So we could do
+ some more guessing to get closer, say by increasing standard deviation
+ to 0.06 kg, constructing another new distribution called pack06.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">normal</span> <span class="identifier">pack06</span><span class="special">(</span><span class="identifier">mean</span><span class="special">,</span> <span class="number">0.06</span><span class="special">);</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Quantile of "</span> <span class="special"><<</span> <span class="identifier">p</span> <span class="special"><<</span> <span class="string">" = "</span> <span class="special"><<</span> <span class="identifier">quantile</span><span class="special">(</span><span class="identifier">pack06</span><span class="special">,</span> <span class="identifier">p</span><span class="special">)</span>
@@ -481,46 +366,34 @@
<span class="special"><<</span> <span class="string">" is "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">pack06</span><span class="special">,</span> <span class="identifier">minimum_weight</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="comment">// Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.06 is 0.95221</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Now we are getting really close, but to do the job properly, we might
- need to use root finding method, for example the tools provided,
- and used elsewhere, in the Math Toolkit, see <a class="link" href="../../../../toolkit/internals1/roots2.html" title="Root Finding Without Derivatives">Root
- Finding Without Derivatives</a>.
- </p>
-<p>
- </p>
-<p>
- But in this (normal) distribution case, we can and should be even
- smarter and make a direct calculation.
- </p>
-<p>
- </p>
-<p>
- Our required limit is minimum_weight = 2.9 kg, often called the random
- variate z. For a standard normal distribution, then probability p
- = N((minimum_weight - mean) / sd).
- </p>
+ </p>
<p>
- </p>
+ Now we are getting really close, but to do the job properly, we might
+ need to use root finding method, for example the tools provided, and
+ used elsewhere, in the Math Toolkit, see <a class="link" href="../../../../toolkit/internals1/roots2.html" title="Root Finding Without Derivatives">Root
+ Finding Without Derivatives</a>.
+ </p>
<p>
- We want to find the standard deviation that would be required to
- meet this limit, so that the p th quantile is located at z (minimum_weight).
- In this case, the 0.05 (5%) quantile is at 2.9 kg pack weight, when
- the mean is 3 kg, ensuring that 0.95 (95%) of packs are above the
- minimum weight.
- </p>
+ But in this (normal) distribution case, we can and should be even smarter
+ and make a direct calculation.
+ </p>
<p>
- </p>
+ Our required limit is minimum_weight = 2.9 kg, often called the random
+ variate z. For a standard normal distribution, then probability p =
+ N((minimum_weight - mean) / sd).
+ </p>
<p>
- Rearranging, we can directly calculate the required standard deviation:
- </p>
+ We want to find the standard deviation that would be required to meet
+ this limit, so that the p th quantile is located at z (minimum_weight).
+ In this case, the 0.05 (5%) quantile is at 2.9 kg pack weight, when
+ the mean is 3 kg, ensuring that 0.95 (95%) of packs are above the minimum
+ weight.
+ </p>
<p>
- </p>
+ Rearranging, we can directly calculate the required standard deviation:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">normal</span> <span class="identifier">N01</span><span class="special">;</span> <span class="comment">// standard normal distribution with meamn zero and unit standard deviation.
</span><span class="identifier">p</span> <span class="special">=</span> <span class="number">0.05</span><span class="special">;</span>
@@ -531,17 +404,13 @@
<span class="special"><<</span> <span class="identifier">minimum_weight</span> <span class="special"><<</span> <span class="string">", would need a standard deviation of "</span> <span class="special"><<</span> <span class="identifier">sd95</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="comment">// For the 0.05th quantile to be located at 2.9, would need a standard deviation of 0.0607957</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- We can now construct a new (normal) distribution pack95 for the 'better'
- packer, and check that our distribution will meet the specification.
- </p>
+ </p>
<p>
- </p>
+ We can now construct a new (normal) distribution pack95 for the 'better'
+ packer, and check that our distribution will meet the specification.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">normal</span> <span class="identifier">pack95</span><span class="special">(</span><span class="identifier">mean</span><span class="special">,</span> <span class="identifier">sd95</span><span class="special">);</span>
<span class="identifier">cout</span> <span class="special"><<</span><span class="string">"Fraction of packs >= "</span> <span class="special"><<</span> <span class="identifier">minimum_weight</span> <span class="special"><<</span> <span class="string">" with a mean of "</span> <span class="special"><<</span> <span class="identifier">mean</span>
@@ -549,108 +418,75 @@
<span class="special"><<</span> <span class="string">" is "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">pack95</span><span class="special">,</span> <span class="identifier">minimum_weight</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="comment">// Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.0607957 is 0.95</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- This calculation is generalized in the free function find_scale,
- as shown below, giving the same standard deviation.
- </p>
+ </p>
<p>
- </p>
+ This calculation is generalized in the free function find_scale, as
+ shown below, giving the same standard deviation.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">ss</span> <span class="special">=</span> <span class="identifier">find_scale</span><span class="special"><</span><span class="identifier">normal</span><span class="special">>(</span><span class="identifier">minimum_weight</span><span class="special">,</span> <span class="identifier">under_fraction</span><span class="special">,</span> <span class="identifier">packs</span><span class="special">.</span><span class="identifier">mean</span><span class="special">());</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"find_scale<normal>(minimum_weight, under_fraction, packs.mean()); "</span> <span class="special"><<</span> <span class="identifier">ss</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="comment">// find_scale<normal>(minimum_weight, under_fraction, packs.mean()); 0.0607957</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- If we had defined an over_fraction, or percentage that must pass
- specification
- </p>
+ </p>
<p>
- </p>
+ If we had defined an over_fraction, or percentage that must pass specification
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">over_fraction</span> <span class="special">=</span> <span class="number">0.95</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- And (wrongly) written
- </p>
+ </p>
<p>
-
-</p>
+ And (wrongly) written
+ </p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">sso</span> <span class="special">=</span> <span class="identifier">find_scale</span><span class="special"><</span><span class="identifier">normal</span><span class="special">>(</span><span class="identifier">minimum_weight</span><span class="special">,</span> <span class="identifier">over_fraction</span><span class="special">,</span> <span class="identifier">packs</span><span class="special">.</span><span class="identifier">mean</span><span class="special">());</span>
</pre>
<p>
- </p>
-<p>
- With the default policy, we would get a message like
- </p>
-<p>
-
-</p>
+ With the default policy, we would get a message like
+ </p>
<pre class="programlisting">Message from thrown exception was:
Error in function boost::math::find_scale<Dist, Policy>(double, double, double, Policy):
Computed scale (-0.060795683191176959) is <= 0! Was the complement intended?
</pre>
<p>
- </p>
-<p>
- But this would return a <span class="bold"><strong>negative</strong></span>
- standard deviation - obviously impossible. The probability should
- be 1 - over_fraction, not over_fraction, thus:
- </p>
-<p>
- </p>
+ But this would return a <span class="bold"><strong>negative</strong></span> standard
+ deviation - obviously impossible. The probability should be 1 - over_fraction,
+ not over_fraction, thus:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">ss1o</span> <span class="special">=</span> <span class="identifier">find_scale</span><span class="special"><</span><span class="identifier">normal</span><span class="special">>(</span><span class="identifier">minimum_weight</span><span class="special">,</span> <span class="number">1</span> <span class="special">-</span> <span class="identifier">over_fraction</span><span class="special">,</span> <span class="identifier">packs</span><span class="special">.</span><span class="identifier">mean</span><span class="special">());</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"find_scale<normal>(minimum_weight, under_fraction, packs.mean()); "</span> <span class="special"><<</span> <span class="identifier">ss1o</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="comment">// find_scale<normal>(minimum_weight, under_fraction, packs.mean()); 0.0607957</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- But notice that using '1 - over_fraction' - will lead to a <a class="link" href="../../overview.html#why_complements">loss of accuracy, especially if over_fraction
- was close to unity.</a> In this (very common) case, we should
- instead use the <a class="link" href="../../overview.html#complements">complements</a>, giving
- the most accurate result.
- </p>
+ </p>
<p>
- </p>
+ But notice that using '1 - over_fraction' - will lead to a <a class="link" href="../../overview.html#why_complements">loss
+ of accuracy, especially if over_fraction was close to unity.</a>
+ In this (very common) case, we should instead use the <a class="link" href="../../overview.html#complements">complements</a>,
+ giving the most accurate result.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">ssc</span> <span class="special">=</span> <span class="identifier">find_scale</span><span class="special"><</span><span class="identifier">normal</span><span class="special">>(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">minimum_weight</span><span class="special">,</span> <span class="identifier">over_fraction</span><span class="special">,</span> <span class="identifier">packs</span><span class="special">.</span><span class="identifier">mean</span><span class="special">()));</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"find_scale<normal>(complement(minimum_weight, over_fraction, packs.mean())); "</span> <span class="special"><<</span> <span class="identifier">ssc</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="comment">// find_scale<normal>(complement(minimum_weight, over_fraction, packs.mean())); 0.0607957</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Note that our guess of 0.06 was close to the accurate value of 0.060795683191176959.
- </p>
-<p>
- </p>
+ </p>
<p>
- We can again confirm our prediction thus:
- </p>
+ Note that our guess of 0.06 was close to the accurate value of 0.060795683191176959.
+ </p>
<p>
- </p>
+ We can again confirm our prediction thus:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">normal</span> <span class="identifier">pack95c</span><span class="special">(</span><span class="identifier">mean</span><span class="special">,</span> <span class="identifier">ssc</span><span class="special">);</span>
<span class="identifier">cout</span> <span class="special"><<</span><span class="string">"Fraction of packs >= "</span> <span class="special"><<</span> <span class="identifier">minimum_weight</span> <span class="special"><<</span> <span class="string">" with a mean of "</span> <span class="special"><<</span> <span class="identifier">mean</span>
@@ -658,45 +494,31 @@
<span class="special"><<</span> <span class="string">" is "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">pack95c</span><span class="special">,</span> <span class="identifier">minimum_weight</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span>
<span class="comment">// Fraction of packs >= 2.9 with a mean of 3 and standard deviation of 0.0607957 is 0.95</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Notice that these two deceptively simple questions:
- </p>
+ </p>
<p>
- </p>
+ Notice that these two deceptively simple questions:
+ </p>
<div class="itemizedlist"><ul type="disc"><li>
- Do we over-fill to make sure we meet a minimum specification
- (or under-fill to avoid an overdose)?
- </li></ul></div>
-<p>
- </p>
+ Do we over-fill to make sure we meet a minimum specification (or
+ under-fill to avoid an overdose)?
+ </li></ul></div>
<p>
- and/or
- </p>
-<p>
- </p>
+ and/or
+ </p>
<div class="itemizedlist"><ul type="disc"><li>
- Do we measure better?
- </li></ul></div>
-<p>
- </p>
+ Do we measure better?
+ </li></ul></div>
<p>
- are actually extremely common.
- </p>
-<p>
- </p>
-<p>
- The weight of beef might be replaced by a measurement of more or
- less anything, from drug tablet content, Apollo landing rocket firing,
- X-ray treatment doses...
- </p>
+ are actually extremely common.
+ </p>
<p>
- </p>
+ The weight of beef might be replaced by a measurement of more or less
+ anything, from drug tablet content, Apollo landing rocket firing, X-ray
+ treatment doses...
+ </p>
<p>
- The scale can be variation in dispensing or uncertainty in measurement.
- </p>
+ The scale can be variation in dispensing or uncertainty in measurement.
+ </p>
<p>
See find_mean_and_sd_normal.cpp
for full source code & appended program output.
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/find_eg/find_scale_eg.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,20 +17,16 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg"></a><a class="link" href="find_scale_eg.html" title="Find Scale (Standard Deviation) Example">
- Find Scale (Standard Deviation) Example</a>
+<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg"></a><a class="link" href="find_scale_eg.html" title="Find Scale (Standard Deviation) Example">Find
+ Scale (Standard Deviation) Example</a>
</h6></div></div></div>
<p>
- </p>
-<p>
- First we need some includes to access the <a class="link" href="../../../dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
- Distribution</a>, the algorithms to find scale (and some std output
- of course).
- </p>
-<p>
- </p>
+ First we need some includes to access the <a class="link" href="../../../dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
+ Distribution</a>, the algorithms to find scale (and some std output
+ of course).
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">distributions</span><span class="special">/</span><span class="identifier">normal</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span> <span class="comment">// for normal_distribution
</span> <span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">normal</span><span class="special">;</span> <span class="comment">// typedef provides default type is double.
@@ -47,35 +43,27 @@
<span class="keyword">using</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special">;</span>
</pre>
<p>
- </p>
-<p>
- </p>
-<p>
- For this example, we will use the standard <a class="link" href="../../../dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
- Distribution</a>, with location (mean) zero and standard deviation
- (scale) unity. Conveniently, this is also the default for this implementation's
- constructor.
- </p>
+ </p>
<p>
- </p>
+ For this example, we will use the standard <a class="link" href="../../../dist_ref/dists/normal_dist.html" title="Normal (Gaussian) Distribution">Normal
+ Distribution</a>, with location (mean) zero and standard deviation
+ (scale) unity. Conveniently, this is also the default for this implementation's
+ constructor.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">normal</span> <span class="identifier">N01</span><span class="special">;</span> <span class="comment">// Default 'standard' normal distribution with zero mean
</span><span class="keyword">double</span> <span class="identifier">sd</span> <span class="special">=</span> <span class="number">1.</span><span class="special">;</span> <span class="comment">// and standard deviation is 1.</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Suppose we want to find a different normal distribution with standard
- deviation so that only fraction p (here 0.001 or 0.1%) are below
- a certain chosen limit (here -2. standard deviations).
- </p>
+ </p>
<p>
- </p>
+ Suppose we want to find a different normal distribution with standard
+ deviation so that only fraction p (here 0.001 or 0.1%) are below a
+ certain chosen limit (here -2. standard deviations).
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">z</span> <span class="special">=</span> <span class="special">-</span><span class="number">2.</span><span class="special">;</span> <span class="comment">// z to give prob p
</span><span class="keyword">double</span> <span class="identifier">p</span> <span class="special">=</span> <span class="number">0.001</span><span class="special">;</span> <span class="comment">// only 0.1% below z = -2
@@ -89,70 +77,46 @@
<span class="special"><<</span> <span class="string">", has "</span> <span class="special"><<</span> <span class="string">"fraction > "</span> <span class="special"><<</span> <span class="identifier">z</span>
<span class="special"><<</span> <span class="string">", p = "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">N01</span><span class="special">,</span> <span class="identifier">z</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span> <span class="comment">// Note: uses complement.</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Normal distribution with mean = 0 has fraction <= -2, p = 0.0227501
Normal distribution with mean = 0 has fraction > -2, p = 0.97725
</pre>
<p>
- </p>
-<p>
- Noting that p = 0.02 instead of our target of 0.001, we can now use
- <code class="computeroutput"><span class="identifier">find_scale</span></code> to give
- a new standard deviation.
- </p>
-<p>
- </p>
+ Noting that p = 0.02 instead of our target of 0.001, we can now use
+ <code class="computeroutput"><span class="identifier">find_scale</span></code> to give
+ a new standard deviation.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">l</span> <span class="special">=</span> <span class="identifier">N01</span><span class="special">.</span><span class="identifier">location</span><span class="special">();</span>
<span class="keyword">double</span> <span class="identifier">s</span> <span class="special">=</span> <span class="identifier">find_scale</span><span class="special"><</span><span class="identifier">normal</span><span class="special">>(</span><span class="identifier">z</span><span class="special">,</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">l</span><span class="special">);</span>
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"scale (standard deviation) = "</span> <span class="special"><<</span> <span class="identifier">s</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- that outputs:
- </p>
+ </p>
<p>
-
-</p>
+ that outputs:
+ </p>
<pre class="programlisting">scale (standard deviation) = 0.647201
</pre>
<p>
- </p>
-<p>
- showing that we need to reduce the standard deviation from 1. to
- 0.65.
- </p>
-<p>
- </p>
-<p>
- Then we can check that we have achieved our objective by constructing
- a new distribution with the new standard deviation (but same zero
- mean):
- </p>
+ showing that we need to reduce the standard deviation from 1. to 0.65.
+ </p>
<p>
- </p>
+ Then we can check that we have achieved our objective by constructing
+ a new distribution with the new standard deviation (but same zero mean):
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">normal</span> <span class="identifier">np001pc</span><span class="special">(</span><span class="identifier">N01</span><span class="special">.</span><span class="identifier">location</span><span class="special">(),</span> <span class="identifier">s</span><span class="special">);</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- And re-calculating the fraction below (and above) our chosen limit.
- </p>
+ </p>
<p>
- </p>
+ And re-calculating the fraction below (and above) our chosen limit.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Normal distribution with mean = "</span> <span class="special"><<</span> <span class="identifier">l</span>
<span class="special"><<</span> <span class="string">" has "</span> <span class="special"><<</span> <span class="string">"fraction <= "</span> <span class="special"><<</span> <span class="identifier">z</span>
@@ -161,53 +125,37 @@
<span class="special"><<</span> <span class="string">" has "</span> <span class="special"><<</span> <span class="string">"fraction > "</span> <span class="special"><<</span> <span class="identifier">z</span>
<span class="special"><<</span> <span class="string">", p = "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">np001pc</span><span class="special">,</span> <span class="identifier">z</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
-
-</p>
+ </p>
<pre class="programlisting">Normal distribution with mean = 0 has fraction <= -2, p = 0.001
Normal distribution with mean = 0 has fraction > -2, p = 0.999
</pre>
+<a name="math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg.controlling_how_errors_from_find_scale_are_handled"></a><h5>
+<a name="id1068135"></a>
+ <a class="link" href="find_scale_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg.controlling_how_errors_from_find_scale_are_handled">Controlling
+ how Errors from find_scale are handled</a>
+ </h5>
+<p>
+ We can also control the policy for handling various errors. For example,
+ we can define a new (possibly unwise) policy to ignore domain errors
+ ('bad' arguments).
+ </p>
<p>
- <a name="math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg.controlling_how_errors_from_find_scale_are_handled"></a>
- </p>
-<h5>
-<a name="id1067817"></a>
- <a class="link" href="find_scale_eg.html#math_toolkit.dist.stat_tut.weg.find_eg.find_scale_eg.controlling_how_errors_from_find_scale_are_handled">Controlling
- how Errors from find_scale are handled</a>
- </h5>
-<p>
- </p>
-<p>
- We can also control the policy for handling various errors. For example,
- we can define a new (possibly unwise) policy to ignore domain errors
- ('bad' arguments).
- </p>
-<p>
- </p>
-<p>
- Unless we are using the boost::math namespace, we will need:
- </p>
-<p>
- </p>
+ Unless we are using the boost::math namespace, we will need:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">policy</span><span class="special">;</span>
<span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">domain_error</span><span class="special">;</span>
<span class="keyword">using</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">policies</span><span class="special">::</span><span class="identifier">ignore_error</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Using a typedef is convenient, especially if it is re-used, although
- it is not required, as the various examples below show.
- </p>
+ </p>
<p>
- </p>
+ Using a typedef is convenient, especially if it is re-used, although
+ it is not required, as the various examples below show.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">typedef</span> <span class="identifier">policy</span><span class="special"><</span><span class="identifier">domain_error</span><span class="special"><</span><span class="identifier">ignore_error</span><span class="special">></span> <span class="special">></span> <span class="identifier">ignore_domain_policy</span><span class="special">;</span>
<span class="comment">// find_scale with new policy, using typedef.
@@ -220,20 +168,16 @@
<span class="comment">// New policy, without typedef.
</span><span class="identifier">l</span> <span class="special">=</span> <span class="identifier">find_scale</span><span class="special"><</span><span class="identifier">normal</span><span class="special">>(</span><span class="identifier">z</span><span class="special">,</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">l</span><span class="special">,</span> <span class="identifier">policy</span><span class="special"><</span><span class="identifier">domain_error</span><span class="special"><</span><span class="identifier">ignore_error</span><span class="special">></span> <span class="special">>());</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- If we want to express a probability, say 0.999, that is a complement,
- <code class="computeroutput"><span class="number">1</span> <span class="special">-</span>
- <span class="identifier">p</span></code> we should not even think
- of writing <code class="computeroutput"><span class="identifier">find_scale</span><span class="special"><</span><span class="identifier">normal</span><span class="special">>(</span><span class="identifier">z</span><span class="special">,</span> <span class="number">1</span> <span class="special">-</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">l</span><span class="special">)</span></code>, but <a class="link" href="../../overview.html#why_complements">instead</a>,
- use the <a class="link" href="../../overview.html#complements">complements</a> version.
- </p>
+ </p>
<p>
- </p>
+ If we want to express a probability, say 0.999, that is a complement,
+ <code class="computeroutput"><span class="number">1</span> <span class="special">-</span>
+ <span class="identifier">p</span></code> we should not even think
+ of writing <code class="computeroutput"><span class="identifier">find_scale</span><span class="special"><</span><span class="identifier">normal</span><span class="special">>(</span><span class="identifier">z</span><span class="special">,</span> <span class="number">1</span> <span class="special">-</span> <span class="identifier">p</span><span class="special">,</span> <span class="identifier">l</span><span class="special">)</span></code>, but <a class="link" href="../../overview.html#why_complements">instead</a>,
+ use the <a class="link" href="../../overview.html#complements">complements</a> version.
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">z</span> <span class="special">=</span> <span class="special">-</span><span class="number">2.</span><span class="special">;</span>
<span class="keyword">double</span> <span class="identifier">q</span> <span class="special">=</span> <span class="number">0.999</span><span class="special">;</span> <span class="comment">// = 1 - p; // complement of 0.001.
@@ -245,31 +189,24 @@
<span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"Normal distribution with mean = "</span> <span class="special"><<</span> <span class="identifier">l</span> <span class="special"><<</span> <span class="string">" has "</span>
<span class="special"><<</span> <span class="string">"fraction > "</span> <span class="special"><<</span> <span class="identifier">z</span> <span class="special"><<</span> <span class="string">" = "</span> <span class="special"><<</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">np95pc</span><span class="special">,</span> <span class="identifier">z</span><span class="special">))</span> <span class="special"><<</span> <span class="identifier">endl</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Sadly, it is all too easy to get probabilities the wrong way round,
- when you may get a warning like this:
- </p>
+ </p>
<p>
-
-</p>
+ Sadly, it is all too easy to get probabilities the wrong way round,
+ when you may get a warning like this:
+ </p>
<pre class="programlisting">Message from thrown exception was:
Error in function boost::math::find_scale<Dist, Policy>(complement(double, double, double, Policy)):
Computed scale (-0.48043523852179076) is <= 0! Was the complement intended?
</pre>
<p>
- </p>
-<p>
- The default error handling policy is to throw an exception with this
- message, but if you chose a policy to ignore the error, the (impossible)
- negative scale is quietly returned.
- </p>
+ The default error handling policy is to throw an exception with this
+ message, but if you chose a policy to ignore the error, the (impossible)
+ negative scale is quietly returned.
+ </p>
<p>
See find_scale_example.cpp
- for full source code: the program output looks like this:
-</p>
+ for full source code: the program output looks like this:
+ </p>
<pre class="programlisting">Example: Find scale (standard deviation).
Normal distribution with mean = 0, standard deviation 1, has fraction <= -2, p = 0.0227501
Normal distribution with mean = 0, standard deviation 1, has fraction > -2, p = 0.97725
@@ -279,8 +216,6 @@
Normal distribution with mean = 0.946339 has fraction <= -2 = 0.001
Normal distribution with mean = 0.946339 has fraction > -2 = 0.999
</pre>
-<p>
- </p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nag_library.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nag_library.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nag_library.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,7 +17,7 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.nag_library"></a><a class="link" href="nag_library.html" title="Comparison with C, R, FORTRAN-style Free Functions"> Comparison
+<a name="math_toolkit.dist.stat_tut.weg.nag_library"></a><a class="link" href="nag_library.html" title="Comparison with C, R, FORTRAN-style Free Functions">Comparison
with C, R, FORTRAN-style Free Functions</a>
</h5></div></div></div>
<p>
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,11 +17,11 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h5 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.nccs_eg"></a><a class="link" href="nccs_eg.html" title="Non Central Chi Squared Example"> Non Central
+<a name="math_toolkit.dist.stat_tut.weg.nccs_eg"></a><a class="link" href="nccs_eg.html" title="Non Central Chi Squared Example">Non Central
Chi Squared Example</a>
</h5></div></div></div>
-<div class="toc"><dl><dt><span class="section"><a href="nccs_eg/nccs_power_eg.html">
- Tables of the power function of the χ<sup>2</sup> test.</a></span></dt></dl></div>
+<div class="toc"><dl><dt><span class="section"><a href="nccs_eg/nccs_power_eg.html">Tables
+ of the power function of the χ<sup>2</sup> test.</a></span></dt></dl></div>
<p>
(See also the reference documentation for the <a class="link" href="../../dist_ref/dists/nc_chi_squared_dist.html" title="Noncentral Chi-Squared Distribution">Non
Central Chi Squared</a>.)
Modified: sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg/nccs_power_eg.html
==============================================================================
--- sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg/nccs_power_eg.html (original)
+++ sandbox/tools/auto_index/example/math/doc/sf_and_dist/html/math_toolkit/dist/stat_tut/weg/nccs_eg/nccs_power_eg.html 2010-12-21 13:42:13 EST (Tue, 21 Dec 2010)
@@ -17,29 +17,23 @@
</div>
<div class="section" lang="en">
<div class="titlepage"><div><div><h6 class="title">
-<a name="math_toolkit.dist.stat_tut.weg.nccs_eg.nccs_power_eg"></a><a class="link" href="nccs_power_eg.html" title="Tables of the power function of the χ2 test.">
- Tables of the power function of the χ<sup>2</sup> test.</a>
+<a name="math_toolkit.dist.stat_tut.weg.nccs_eg.nccs_power_eg"></a><a class="link" href="nccs_power_eg.html" title="Tables of the power function of the χ2 test.">Tables
+ of the power function of the χ<sup>2</sup> test.</a>
</h6></div></div></div>
<p>
- </p>
-<p>
- This example computes a table of the power of the χ<sup>2</sup>
-test at the 5%
- significance level, for various degrees of freedom and non-centrality
- parameters. The table is deliberately the same as Table 6 from "The
- Non-Central χ<sup>2</sup> and F-Distributions and their applications.", P.
- B. Patnaik, Biometrika, Vol. 36, No. 1/2 (June 1949), 202-232.
- </p>
-<p>
- </p>
-<p>
- First we need some includes to access the non-central chi squared
- distribution (and some basic std output of course).
- </p>
+ This example computes a table of the power of the χ<sup>2</sup>
+test at the 5% significance
+ level, for various degrees of freedom and non-centrality parameters.
+ The table is deliberately the same as Table 6 from "The Non-Central
+ χ<sup>2</sup> and F-Distributions and their applications.", P. B. Patnaik,
+ Biometrika, Vol. 36, No. 1/2 (June 1949), 202-232.
+ </p>
<p>
- </p>
+ First we need some includes to access the non-central chi squared distribution
+ (and some basic std output of course).
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">distributions</span><span class="special">/</span><span class="identifier">non_central_chi_squared</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span>
<span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">iostream</span><span class="special">></span>
@@ -47,17 +41,13 @@
<span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
<span class="special">{</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Create a table of the power of the χ<sup>2</sup> test at 5% significance level,
- start with a table header:
- </p>
+ </p>
<p>
- </p>
+ Create a table of the power of the χ<sup>2</sup> test at 5% significance level,
+ start with a table header:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"[table\n[[[nu]]"</span><span class="special">;</span>
<span class="keyword">for</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">lam</span> <span class="special">=</span> <span class="number">2</span><span class="special">;</span> <span class="identifier">lam</span> <span class="special"><=</span> <span class="number">20</span><span class="special">;</span> <span class="identifier">lam</span> <span class="special">+=</span> <span class="number">2</span><span class="special">)</span>
@@ -66,22 +56,16 @@
<span class="special">}</span>
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"]\n"</span><span class="special">;</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- (Note: the enclosing [] brackets are to format as a table in Boost.Quickbook).
- </p>
-<p>
- </p>
+ </p>
<p>
- Enumerate the rows and columns and print the power of the test for
- each table cell:
- </p>
+ (Note: the enclosing [] brackets are to format as a table in Boost.Quickbook).
+ </p>
<p>
- </p>
+ Enumerate the rows and columns and print the power of the test for
+ each table cell:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">for</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">n</span> <span class="special">=</span> <span class="number">2</span><span class="special">;</span> <span class="identifier">n</span> <span class="special"><=</span> <span class="number">20</span><span class="special">;</span> <span class="special">++</span><span class="identifier">n</span><span class="special">)</span>
<span class="special">{</span>
@@ -89,43 +73,31 @@
<span class="keyword">for</span><span class="special">(</span><span class="keyword">int</span> <span class="identifier">lam</span> <span class="special">=</span> <span class="number">2</span><span class="special">;</span> <span class="identifier">lam</span> <span class="special"><=</span> <span class="number">20</span><span class="special">;</span> <span class="identifier">lam</span> <span class="special">+=</span> <span class="number">2</span><span class="special">)</span>
<span class="special">{</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Calculate the χ<sup>2</sup> statistic for a 5% significance:
- </p>
+ </p>
<p>
- </p>
+ Calculate the χ<sup>2</sup> statistic for a 5% significance:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">cs</span> <span class="special">=</span> <span class="identifier">quantile</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">chi_squared</span><span class="special">(</span><span class="identifier">n</span><span class="special">),</span> <span class="number">0.05</span><span class="special">));</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- The power of the test is given by the complement of the CDF of the
- non-central χ<sup>2</sup> distribution:
- </p>
+ </p>
<p>
- </p>
+ The power of the test is given by the complement of the CDF of the
+ non-central χ<sup>2</sup> distribution:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"><span class="keyword">double</span> <span class="identifier">beta</span> <span class="special">=</span> <span class="identifier">cdf</span><span class="special">(</span><span class="identifier">complement</span><span class="special">(</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">non_central_chi_squared</span><span class="special">(</span><span class="identifier">n</span><span class="special">,</span> <span class="identifier">lam</span><span class="special">),</span> <span class="identifier">cs</span><span class="special">));</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- Then output the cell value:
- </p>
+ </p>
<p>
- </p>
+ Then output the cell value:
+ </p>
<p>
-
+
</p>
<pre class="programlisting"> <span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"["</span> <span class="special"><<</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">setprecision</span><span class="special">(</span><span class="number">3</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">beta</span> <span class="special"><<</span> <span class="string">"]"</span><span class="special">;</span>
<span class="special">}</span>
@@ -134,24 +106,18 @@
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="string">"]"</span> <span class="special"><<</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
<span class="special">}</span></pre>
<p>
- </p>
-<p>
- </p>
-<p>
- The output from this program is a table in Boost.Quickbook format
- as shown below.
- </p>
-<p>
- </p>
+ </p>
<p>
- We can interpret this as follows - for example if ν=10 and λ=10 then
- the power of the test is 0.542 - so we have only a 54% chance of
- correctly detecting that our null hypothesis is false, and a 46%
- chance of incurring a type II error (failing to reject the null hypothesis
- when it is in fact false):
- </p>
+ The output from this program is a table in Boost.Quickbook format as
+ shown below.
+ </p>
<p>
- </p>
+ We can interpret this as follows - for example if ν=10 and λ=10 then
+ the power of the test is 0.542 - so we have only a 54% chance of correctly
+ detecting that our null hypothesis is false, and a 46% chance of incurring
+ a type II error (failing to reject the null hypothesis when it is in
+ fact false):
+ </p>
<div class="informaltable"><table class="table">
<colgroup>
<col>
@@ -168,1154 +134,1150 @@
</colgroup>
<thead><tr>
<th>
- <p>
- ν
- </p>
- </th>
+ <p>
+ ν
+ </p>
+ </th>
<th>
- <p>
- λ=2
- </p>
- </th>
+ <p>
+ λ=2
+ </p>
+ </th>
<th>
- <p>
- λ=4
- </p>
- </th>
+ <p>
+ λ=4
+ </p>
+ </th>
<th>
- <p>
- λ=6
- </p>
- </th>
+ <p>
+ λ=6
+ </p>
+ </th>
<th>
- <p>
- λ=8
- </p>
- </th>
+ <p>
+ λ=8
+ </p>
+ </th>
<th>
- <p>
- λ=10
- </p>
- </th>
+ <p>
+ λ=10
+ </p>
+ </th>
<th>
- <p>
- λ=12
- </p>
- </th>
+ <p>
+ λ=12
+ </p>
+ </th>
<th>
- <p>
- λ=14
- </p>
- </th>
+ <p>
+ λ=14
+ </p>
+ </th>
<th>
- <p>
- λ=16
- </p>
- </th>
+ <p>
+ λ=16
+ </p>
+ </th>
<th>
- <p>
- λ=18
- </p>
- </th>
+ <p>
+ λ=18
+ </p>
+ </th>
<th>
- <p>
- λ=20
- </p>
- </th>
+ <p>
+ λ=20
+ </p>
+ </th>
</tr></thead>
<tbody>
<tr>
<td>
- <p>
- 2
- </p>
- </td>
-<td>
- <p>
- 0.226
- </p>
- </td>
-<td>
- <p>
- 0.415
- </p>
- </td>
-<td>
- <p>
- 0.584
- </p>
- </td>
-<td>
- <p>
- 0.718
- </p>
- </td>
-<td>
- <p>
- 0.815
- </p>
- </td>
-<td>
- <p>
- 0.883
- </p>
- </td>
-<td>
- <p>
- 0.928
- </p>
- </td>
-<td>
- <p>
- 0.957
- </p>
- </td>
-<td>
- <p>
- 0.974
- </p>
- </td>
-<td>
- <p>
- 0.985
- </p>
- </td>
+ <p>
+ 2
+ </p>
+ </td>
+<td>
+ <p>
+ 0.226
+ </p>
+ </td>
+<td>
+ <p>
+ 0.415
+ </p>
+ </td>
+<td>
+ <p>
+ 0.584
+ </p>
+ </td>
+<td>
+ <p>
+ 0.718
+ </p>
+ </td>
+<td>
+ <p>
+ 0.815
+ </p>
+ </td>
+<td>
+ <p>
+ 0.883
+ </p>
+ </td>
+<td>
+ <p>
+ 0.928
+ </p>
+ </td>
+<td>
+ <p>
+ 0.957
+ </p>
+ </td>
+<td>
+ <p>
+ 0.974
+ </p>
+ </td>
+<td>
+ <p>
+ 0.985
+ </p>
+ </td>
</tr>
<tr>
<td>
- <p>
- 3
- </p>
- </td>
-<td>
- <p>
- 0.192
- </p>
- </td>
-<td>
- <p>
- 0.359
- </p>
- </td>
-<td>
- <p>
- 0.518
- </p>
- </td>
-<td>
- <p>
- 0.654
- </p>
- </td>
-<td>
- <p>
- 0.761
- </p>
- </td>
-<td>
- <p>
- 0.84
- </p>
- </td>
-<td>
- <p>
- 0.896
- </p>
- </td>
-<td>
- <p>
- 0.934
- </p>
- </td>
-<td>
- <p>
- 0.959
- </p>
- </td>
-<td>
- <p>
- 0.975
- </p>
- </td>
+ <p>
+ 3
+ </p>
+ </td>
+<td>
+ <p>
+ 0.192
+ </p>
+ </td>
+<td>
+ <p>
+ 0.359
+ </p>
+ </td>
+<td>
+ <p>
+ 0.518
+ </p>
+ </td>
+<td>
+ <p>
+ 0.654
+ </p>
+ </td>
+<td>
+ <p>
+ 0.761
+ </p>
+ </td>
+<td>
+ <p>
+ 0.84
+ </p>
+ </td>
+<td>
+ <p>
+ 0.896
+ </p>
+ </td>
+<td>
+ <p>
+ 0.934
+ </p>
+ </td>
+<td>
+ <p>
+ 0.959
+ </p>
+ </td>
+<td>
+ <p>
+ 0.975
+ </p>
+ </td>
</tr>
<tr>
<td>
- <p>
- 4
- </p>
- </td>
-<td>
- <p>
- 0.171
- </p>
- </td>
-<td>
- <p>
- 0.32
- </p>
- </td>
-<td>
- <p>
- 0.47
- </p>
- </td>
-<td>
- <p>
- 0.605
- </p>
- </td>
-<td>
- <p>
- 0.716
- </p>
- </td>
-<td>
- <p>
- 0.802
- </p>
- </td>
-<td>
- <p>
- 0.866
- </p>
- </td>
-<td>
- <p>
- 0.912
- </p>
- </td>
-<td>
- <p>
- 0.943
- </p>
- </td>
-<td>
- <p>
- 0.964
- </p>
- </td>
+ <p>
+ 4
+ </p>
+ </td>
+<td>
+ <p>
+ 0.171
+ </p>
+ </td>
+<td>
+ <p>
+ 0.32
+ </p>
+ </td>
+<td>
+ <p>
+ 0.47
+ </p>
+ </td>
+<td>
+ <p>
+ 0.605
+ </p>
+ </td>
+<td>
+ <p>
+ 0.716
+ </p>
+ </td>
+<td>
+ <p>
+ 0.802
+ </p>
+ </td>
+<td>
+ <p>
+ 0.866
+ </p>
+ </td>
+<td>
+ <p>
+ 0.912
+ </p>
+ </td>
+<td>
+ <p>
+ 0.943
+ </p>
+ </td>
+<td>
+ <p>
+ 0.964
+ </p>
+ </td>
</tr>
<tr>
<td>
- <p>
- 5
- </p>
- </td>
-<td>
- <p>
- 0.157
- </p>
- </td>
-<td>
- <p>
- 0.292
- </p>
- </td>
-<td>
- <p>
- 0.433
- </p>
- </td>
-<td>
- <p>
- 0.564
- </p>
- </td>
-<td>
- <p>
- 0.677
- </p>
- </td>
-<td>
- <p>
- 0.769
- </p>
- </td>
-<td>
- <p>
- 0.839
- </p>
- </td>
-<td>
- <p>
- 0.89
- </p>
- </td>
-<td>
- <p>
- 0.927
- </p>
- </td>
-<td>
- <p>
- 0.952
- </p>
- </td>
+ <p>
+ 5
+ </p>
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</tr>
<tr>
<td>
- <p>
- 6
- </p>
- </td>
-<td>
- <p>
- 0.146
- </p>
- </td>
-<td>
- <p>
- 0.27
- </p>
- </td>
-<td>
- <p>
- 0.403
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- </td>
-<td>
- <p>
- 0.531
- </p>
- </td>
-<td>
- <p>
- 0.644
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- </td>
-<td>
- <p>
- 0.738
- </p>
- </td>
-<td>
- <p>
- 0.813
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- </td>
-<td>
- <p>
- 0.869
- </p>
- </td>
-<td>
- <p>
- 0.911
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- </td>
-<td>
- <p>
- 0.94
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+ <p>
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+ </td>
</tr>
<tr>
<td>
- <p>
- 7
- </p>
- </td>
-<td>
- <p>
- 0.138
- </p>
- </td>
-<td>
- <p>
- 0.252
- </p>
- </td>
-<td>
- <p>
- 0.378
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- </td>
-<td>
- <p>
- 0.502
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- </td>
-<td>
- <p>
- 0.614
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- </td>
-<td>
- <p>
- 0.71
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- </td>
-<td>
- <p>
- 0.788
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-<td>
- <p>
- 0.849
- </p>
- </td>
-<td>
- <p>
- 0.895
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- </td>
-<td>
- <p>
- 0.928
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</tr>
<tr>
<td>
- <p>
- 8
- </p>
- </td>
-<td>
- <p>
- 0.131
- </p>
- </td>
-<td>
- <p>
- 0.238
- </p>
- </td>
-<td>
- <p>
- 0.357
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- </td>
-<td>
- <p>
- 0.477
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- </td>
-<td>
- <p>
- 0.588
- </p>
- </td>
-<td>
- <p>
- 0.685
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- </td>
-<td>
- <p>
- 0.765
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- </td>
-<td>
- <p>
- 0.829
- </p>
- </td>
-<td>
- <p>
- 0.879
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- </td>
-<td>
- <p>
- 0.915
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</tr>
<tr>
<td>
- <p>
- 9
- </p>
- </td>
-<td>
- <p>
- 0.125
- </p>
- </td>
-<td>
- <p>
- 0.225
- </p>
- </td>
-<td>
- <p>
- 0.339
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- </td>
-<td>
- <p>
- 0.454
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- </td>
-<td>
- <p>
- 0.564
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- </td>
-<td>
- <p>
- 0.661
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- </td>
-<td>
- <p>
- 0.744
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- </td>
-<td>
- <p>
- 0.811
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- </td>
-<td>
- <p>
- 0.863
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-<td>
- <p>
- 0.903
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</tr>
<tr>
<td>
- <p>
- 10
- </p>
- </td>
-<td>
- <p>
- 0.121
- </p>
- </td>
-<td>
- <p>
- 0.215
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- </td>
-<td>
- <p>
- 0.323
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- </td>
-<td>
- <p>
- 0.435
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- </td>
-<td>
- <p>
- 0.542
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- </td>
-<td>
- <p>
- 0.64
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- </td>
-<td>
- <p>
- 0.723
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- </td>
-<td>
- <p>
- 0.793
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- </td>
-<td>
- <p>
- 0.848
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- </td>
-<td>
- <p>
- 0.891
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</tr>
<tr>
<td>
- <p>
- 11
- </p>
- </td>
-<td>
- <p>
- 0.117
- </p>
- </td>
-<td>
- <p>
- 0.206
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- </td>
-<td>
- <p>
- 0.309
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- </td>
-<td>
- <p>
- 0.417
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- </td>
-<td>
- <p>
- 0.523
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- </td>
-<td>
- <p>
- 0.62
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- </td>
-<td>
- <p>
- 0.704
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- </td>
-<td>
- <p>
- 0.775
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- </td>
-<td>
- <p>
- 0.833
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-<td>
- <p>
- 0.878
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</tr>
<tr>
<td>
- <p>
- 12
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- </td>
-<td>
- <p>
- 0.113
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- </td>
-<td>
- <p>
- 0.198
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- </td>
-<td>
- <p>
- 0.297
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-<td>
- <p>
- 0.402
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- </td>
-<td>
- <p>
- 0.505
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- </td>
-<td>
- <p>
- 0.601
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- </td>
-<td>
- <p>
- 0.686
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-<td>
- <p>
- 0.759
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- </td>
-<td>
- <p>
- 0.818
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-<td>
- <p>
- 0.866
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</tr>
<tr>
<td>
- <p>
- 13
- </p>
- </td>
-<td>
- <p>
- 0.11
- </p>
- </td>
-<td>
- <p>
- 0.191
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-<td>
- <p>
- 0.286
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-<td>
- <p>
- 0.387
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- </td>
-<td>
- <p>
- 0.488
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-<td>
- <p>
- 0.584
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-<td>
- <p>
- 0.669
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-<td>
- <p>
- 0.743
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-<td>
- <p>
- 0.804
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-<td>
- <p>
- 0.854
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</tr>
<tr>
<td>
- <p>
- 14
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- </td>
-<td>
- <p>
- 0.108
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- </td>
-<td>
- <p>
- 0.185
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-<td>
- <p>
- 0.276
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-<td>
- <p>
- 0.374
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- </td>
-<td>
- <p>
- 0.473
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- </td>
-<td>
- <p>
- 0.567
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-<td>
- <p>
- 0.653
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-<td>
- <p>
- 0.728
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-<td>
- <p>
- 0.791
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-<td>
- <p>
- 0.842
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</tr>
<tr>
<td>
- <p>
- 15
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- </td>
-<td>
- <p>
- 0.105
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-<td>
- <p>
- 0.179
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-<td>
- <p>
- 0.267
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-<td>
- <p>
- 0.362
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-<td>
- <p>
- 0.459
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-<td>
- <p>
- 0.552
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-<td>
- <p>
- 0.638
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-<td>
- <p>
- 0.713
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-<td>
- <p>
- 0.777
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- 0.83
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</tr>
<tr>
<td>
- <p>
- 16
- </p>
- </td>
-<td>
- <p>
- 0.103
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- </td>
-<td>
- <p>
- 0.174
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-<td>
- <p>
- 0.259
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-<td>
- <p>
- 0.351
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-<td>
- <p>
- 0.446
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-<td>
- <p>
- 0.538
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-<td>
- <p>
- 0.623
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-<td>
- <p>
- 0.699
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-<td>
- <p>
- 0.764
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-<td>
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- 0.819
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</tr>
<tr>
<td>
- <p>
- 17
- </p>
- </td>
-<td>
- <p>
- 0.101
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-<td>
- <p>
- 0.169
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-<td>
- <p>
- 0.251
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-<td>
- <p>
- 0.341
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-<td>
- <p>
- 0.434
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-<td>
- <p>
- 0.525
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-<td>
- <p>
- 0.609
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- <p>
- 0.686
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-<td>
- <p>
- 0.752
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- 0.807
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+ <p>
+ 0.686
+ </p>
+ </td>
+<td>
+ <p>
+ 0.752
+ </p>
+ </td>
+<td>
+ <p>
+ 0.807
+ </p>
+ </td>
</tr>
<tr>
<td>
- <p>
- 18
- </p>
- </td>
-<td>
- <p>
- 0.0992
- </p>
- </td>
-<td>
- <p>
- 0.165
- </p>
- </td>
-<td>
- <p>
- 0.244
- </p>
- </td>
-<td>
- <p>
- 0.332
- </p>
- </td>
-<td>
- <p>
- 0.423
- </p>
- </td>
-<td>
- <p>
- 0.512
- </p>
- </td>
-<td>
- <p>
- 0.596
- </p>
- </td>
-<td>
- <p>
- 0.673
- </p>
-