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From: john_at_[hidden]
Date: 2007-09-26 05:34:02


Author: johnmaddock
Date: 2007-09-26 05:34:01 EDT (Wed, 26 Sep 2007)
New Revision: 39538
URL: http://svn.boost.org/trac/boost/changeset/39538

Log:
Changed to use character escapes rather than MathML entities.
Also made sure that all the files are readable by the latest Mathcast release, and by SVGMath, and are valid XML.

Text files modified:
   sandbox/math_toolkit/libs/math/doc/equations/hermite.xml | 8
   sandbox/math_toolkit/libs/math/doc/equations/ibeta.xml | 156 +++++++++---------
   sandbox/math_toolkit/libs/math/doc/equations/ibeta_inv.xml | 38 ++--
   sandbox/math_toolkit/libs/math/doc/equations/igamma.xml | 332 ++++++++++++++++++++--------------------
   sandbox/math_toolkit/libs/math/doc/equations/laguerre.xml | 16
   sandbox/math_toolkit/libs/math/doc/equations/lanczos.xml | 74 ++++----
   sandbox/math_toolkit/libs/math/doc/equations/legendre.xml | 34 ++--
   7 files changed, 329 insertions(+), 329 deletions(-)

Modified: sandbox/math_toolkit/libs/math/doc/equations/hermite.xml
==============================================================================
--- sandbox/math_toolkit/libs/math/doc/equations/hermite.xml (original)
+++ sandbox/math_toolkit/libs/math/doc/equations/hermite.xml 2007-09-26 05:34:01 EDT (Wed, 26 Sep 2007)
@@ -33,7 +33,7 @@
     <msup>
       <mfenced>
         <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mn>1</mn>
         </mrow>
       </mfenced>
@@ -64,7 +64,7 @@
     <msup>
       <mi>e</mi>
       <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <msup>
           <mi>x</mi>
           <mn>2</mn>
@@ -102,14 +102,14 @@
         <mi>x</mi>
       </mrow>
     </mfenced>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
     <mn>2</mn>
     <mi>n</mi>
     <msub>
       <mi>H</mi>
       <mrow>
         <mi>n</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
     </msub>

Modified: sandbox/math_toolkit/libs/math/doc/equations/ibeta.xml
==============================================================================
--- sandbox/math_toolkit/libs/math/doc/equations/ibeta.xml (original)
+++ sandbox/math_toolkit/libs/math/doc/equations/ibeta.xml 2007-09-26 05:34:01 EDT (Wed, 26 Sep 2007)
@@ -37,7 +37,7 @@
     <mo>=</mo>
     <mspace width="1em"/>
     <msubsup>
- <mo>&Integral;</mo>
+ <mo>&#x222B;</mo>
       <mrow>
         <mn>0</mn>
       </mrow>
@@ -47,7 +47,7 @@
       <mi>t</mi>
       <mrow>
         <mi>a</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
     </msup>
@@ -55,13 +55,13 @@
       <mfenced>
         <mrow>
           <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mi>t</mi>
         </mrow>
       </mfenced>
       <mrow>
         <mi>b</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
     </msup>
@@ -85,7 +85,7 @@
     <mo>=</mo>
     <mspace width="1em"/>
     <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
     <msub>
       <mi>B</mi>
       <mi>x</mi>
@@ -104,7 +104,7 @@
       <mi>B</mi>
       <mrow>
         <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>x</mi>
       </mrow>
     </msub>
@@ -160,7 +160,7 @@
       </mrow>
     </mfrac>
     <msubsup>
- <mo>&Integral;</mo>
+ <mo>&#x222B;</mo>
       <mrow>
         <mn>0</mn>
       </mrow>
@@ -170,7 +170,7 @@
       <mi>t</mi>
       <mrow>
         <mi>a</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
     </msup>
@@ -178,13 +178,13 @@
       <mfenced>
         <mrow>
           <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mi>t</mi>
         </mrow>
       </mfenced>
       <mrow>
         <mi>b</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
     </msup>
@@ -208,7 +208,7 @@
     <mo>=</mo>
     <mspace width="1em"/>
     <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
     <msub>
       <mi>I</mi>
       <mi>x</mi>
@@ -227,7 +227,7 @@
       <mi>I</mi>
       <mrow>
         <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>x</mi>
       </mrow>
     </msub>
@@ -305,7 +305,7 @@
                         <mrow>
                           <mn>1</mn>
                           <mo>+</mo>
- <mo>&hellip;</mo>
+ <mo>&#x2026;</mo>
                         </mrow>
                       </mfrac>
                     </mrow>
@@ -332,7 +332,7 @@
           <mo>=</mo>
           <mfrac>
             <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mfenced>
                 <mrow>
                   <mi>a</mi>
@@ -392,7 +392,7 @@
               <mfenced>
                 <mrow>
                   <mi>b</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mi>m</mi>
                 </mrow>
               </mfenced>
@@ -405,7 +405,7 @@
                   <mo>+</mo>
                   <mn>2</mn>
                   <mi>m</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mn>1</mn>
                 </mrow>
               </mfenced>
@@ -471,38 +471,38 @@
             <mrow>
               <mfrac>
                 <msub>
- <mi>&alpha;</mi>
+ <mi>&#x03B1;</mi>
                   <mn>1</mn>
                 </msub>
                 <mrow>
                   <msub>
- <mi>&beta;</mi>
+ <mi>&#x03B2;</mi>
                     <mn>1</mn>
                   </msub>
                   <mo>+</mo>
                   <mfrac>
                     <msub>
- <mi>&alpha;</mi>
+ <mi>&#x03B1;</mi>
                       <mn>2</mn>
                     </msub>
                     <mrow>
                       <msub>
- <mi>&beta;</mi>
+ <mi>&#x03B2;</mi>
                         <mn>2</mn>
                       </msub>
                       <mo>+</mo>
                       <mfrac>
                         <msub>
- <mi>&alpha;</mi>
+ <mi>&#x03B1;</mi>
                           <mn>3</mn>
                         </msub>
                         <mrow>
                           <msub>
- <mi>&beta;</mi>
+ <mi>&#x03B2;</mi>
                             <mn>3</mn>
                           </msub>
                           <mo>+</mo>
- <mo>&hellip;</mo>
+ <mo>&#x2026;</mo>
                         </mrow>
                       </mfrac>
                     </mrow>
@@ -516,7 +516,7 @@
       <mtr>
         <mtd>
           <msub>
- <mi>&alpha;</mi>
+ <mi>&#x03B1;</mi>
             <mn>1</mn>
           </msub>
           <mo>=</mo>
@@ -525,7 +525,7 @@
           <mo>,</mo>
           <mspace width="1em"/>
           <msub>
- <mi>&alpha;</mi>
+ <mi>&#x03B1;</mi>
             <mrow>
               <mi>m</mi>
               <mo>+</mo>
@@ -540,7 +540,7 @@
                   <mi>a</mi>
                   <mo>+</mo>
                   <mi>m</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mn>1</mn>
                 </mrow>
               </mfenced>
@@ -551,7 +551,7 @@
                   <mi>b</mi>
                   <mo>+</mo>
                   <mi>m</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mn>1</mn>
                 </mrow>
               </mfenced>
@@ -559,7 +559,7 @@
               <mfenced>
                 <mrow>
                   <mi>b</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mi>m</mi>
                 </mrow>
               </mfenced>
@@ -576,7 +576,7 @@
                     <mo>+</mo>
                     <mn>2</mn>
                     <mi>m</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                     <mn>1</mn>
                   </mrow>
                 </mfenced>
@@ -589,7 +589,7 @@
       <mtr>
         <mtd>
           <msub>
- <mi>&beta;</mi>
+ <mi>&#x03B2;</mi>
             <mrow>
               <mi>m</mi>
               <mo>+</mo>
@@ -605,7 +605,7 @@
               <mfenced>
                 <mrow>
                   <mi>b</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mi>m</mi>
                 </mrow>
               </mfenced>
@@ -616,7 +616,7 @@
               <mo>+</mo>
               <mn>2</mn>
               <mi>m</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mn>1</mn>
             </mrow>
           </mfrac>
@@ -633,7 +633,7 @@
               <mfenced>
                 <mrow>
                   <mi>a</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mfenced>
                     <mrow>
                       <mi>a</mi>
@@ -649,7 +649,7 @@
                   <mfenced>
                     <mrow>
                       <mn>2</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                       <mi>x</mi>
                     </mrow>
                   </mfenced>
@@ -705,13 +705,13 @@
       </mrow>
     </mfrac>
     <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
       <mrow>
         <mi>n</mi>
         <mo>=</mo>
         <mn>1</mn>
       </mrow>
- <mi>&infin;</mi>
+ <mi>&#x221E;</mi>
     </munderover>
     <mfrac>
       <mrow>
@@ -719,14 +719,14 @@
           <mfenced>
             <mrow>
               <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mi>b</mi>
             </mrow>
           </mfenced>
           <mrow>
             <mover>
               <mi>n</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             </mover>
           </mrow>
         </msup>
@@ -766,17 +766,17 @@
             </mrow>
           </mfenced>
           <mspace width="1em"/>
- <mo>&TildeTilde;</mo>
+ <mo>&#x2248;</mo>
           <mspace width="1em"/>
           <mi>M</mi>
           <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
             <mrow>
               <mi>n</mi>
               <mo>=</mo>
               <mn>0</mn>
             </mrow>
- <mi>&infin;</mi>
+ <mi>&#x221E;</mi>
           </munderover>
           <msub>
             <mi>p</mi>
@@ -815,7 +815,7 @@
                   <mi>u</mi>
                 </mrow>
               </mfenced>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
               <mfenced>
                 <mrow>
                   <mi>a</mi>
@@ -825,7 +825,7 @@
               </mfenced>
             </mrow>
             <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
               <mfenced>
                 <mrow>
                   <mi>a</mi>
@@ -855,7 +855,7 @@
               <msup>
                 <mi>e</mi>
                 <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mi>u</mi>
                 </mrow>
               </msup>
@@ -865,7 +865,7 @@
               </msup>
             </mrow>
             <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
               <mfenced>
                 <mrow>
                   <mi>a</mi>
@@ -884,7 +884,7 @@
           <mfrac>
             <mrow>
               <mi>b</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mn>1</mn>
             </mrow>
             <mn>2</mn>
@@ -893,7 +893,7 @@
           <mspace width="1em"/>
           <mi>u</mi>
           <mo>=</mo>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mi>T</mi>
           <mi>ln</mi>
           <mfenced>
@@ -922,7 +922,7 @@
               <mfenced>
                 <mrow>
                   <mi>b</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mn>1</mn>
                 </mrow>
               </mfenced>
@@ -932,7 +932,7 @@
                 <mrow>
                   <mn>2</mn>
                   <mi>n</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mn>1</mn>
                 </mrow>
               </mfenced>
@@ -945,7 +945,7 @@
             <mi>n</mi>
           </mfrac>
           <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
             <mrow>
               <mi>m</mi>
               <mo>=</mo>
@@ -953,7 +953,7 @@
             </mrow>
             <mrow>
               <mi>n</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mn>1</mn>
             </mrow>
           </munderover>
@@ -962,7 +962,7 @@
               <mrow>
                 <mi>m</mi>
                 <mi>b</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                 <mi>n</mi>
               </mrow>
             </mfenced>
@@ -982,7 +982,7 @@
             <mi>p</mi>
             <mrow>
               <mi>n</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mi>m</mi>
             </mrow>
           </msub>
@@ -1056,7 +1056,7 @@
         <mrow>
           <mfrac>
             <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mi>ln</mi>
               <mi>x</mi>
             </mrow>
@@ -1144,14 +1144,14 @@
             <mfenced>
               <mrow>
                 <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                 <mi>x</mi>
               </mrow>
             </mfenced>
             <mi>b</mi>
           </msup>
           <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
             <mrow>
               <mi>j</mi>
               <mo>=</mo>
@@ -1161,7 +1161,7 @@
           </munderover>
           <mfrac>
             <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
               <mfenced>
                 <mrow>
                   <mi>a</mi>
@@ -1169,19 +1169,19 @@
                   <mi>b</mi>
                   <mo>+</mo>
                   <mi>j</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mn>1</mn>
                 </mrow>
               </mfenced>
             </mrow>
             <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
               <mfenced>
                 <mrow>
                   <mi>b</mi>
                 </mrow>
               </mfenced>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
               <mfenced>
                 <mrow>
                   <mi>a</mi>
@@ -1195,7 +1195,7 @@
             <mi>x</mi>
             <mrow>
               <mi>j</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mn>1</mn>
             </mrow>
           </msup>
@@ -1233,7 +1233,7 @@
                 <mfenced>
                   <mrow>
                     <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                     <mi>x</mi>
                   </mrow>
                 </mfenced>
@@ -1243,7 +1243,7 @@
             <mi>a</mi>
           </mfrac>
           <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
             <mrow>
               <mi>j</mi>
               <mo>=</mo>
@@ -1251,7 +1251,7 @@
             </mrow>
             <mrow>
               <mi>n</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mn>1</mn>
             </mrow>
           </munderover>
@@ -1268,7 +1268,7 @@
                 <mrow>
                   <mover>
                     <mi>j</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   </mover>
                 </mrow>
               </msup>
@@ -1285,7 +1285,7 @@
                 <mrow>
                   <mover>
                     <mi>j</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   </mover>
                 </mrow>
               </msup>
@@ -1329,7 +1329,7 @@
           <mrow>
             <mover>
               <mi>n</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             </mover>
           </mrow>
         </msup>
@@ -1340,7 +1340,7 @@
           <mrow>
             <mover>
               <mi>n</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             </mover>
           </mrow>
         </msup>
@@ -1370,7 +1370,7 @@
           <mfenced>
             <mrow>
               <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mi>x</mi>
             </mrow>
           </mfenced>
@@ -1380,7 +1380,7 @@
       <mi>a</mi>
     </mfrac>
     <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
       <mrow>
         <mi>j</mi>
         <mo>=</mo>
@@ -1388,7 +1388,7 @@
       </mrow>
       <mrow>
         <mi>n</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
     </munderover>
@@ -1405,7 +1405,7 @@
           <mrow>
             <mover>
               <mi>j</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             </mover>
           </mrow>
         </msup>
@@ -1422,7 +1422,7 @@
           <mrow>
             <mover>
               <mi>j</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             </mover>
           </mrow>
         </msup>
@@ -1451,7 +1451,7 @@
     <mo>=</mo>
     <mspace width="1em"/>
     <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
       <mrow>
         <mi>i</mi>
         <mo>=</mo>
@@ -1472,7 +1472,7 @@
         <mfenced>
           <mrow>
             <mi>N</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mi>i</mi>
           </mrow>
         </mfenced>
@@ -1488,7 +1488,7 @@
       <mfenced>
         <mrow>
           <mi>N</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mi>i</mi>
         </mrow>
       </mfenced>
@@ -1499,14 +1499,14 @@
     <mi>k</mi>
     <mo>=</mo>
     <mi>a</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
     <mn>1,</mn>
     <mi>N</mi>
     <mo>=</mo>
     <mi>a</mi>
     <mo>+</mo>
     <mi>b</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
     <mn>1</mn>
   </mrow>
 </math>

Modified: sandbox/math_toolkit/libs/math/doc/equations/ibeta_inv.xml
==============================================================================
--- sandbox/math_toolkit/libs/math/doc/equations/ibeta_inv.xml (original)
+++ sandbox/math_toolkit/libs/math/doc/equations/ibeta_inv.xml 2007-09-26 05:34:01 EDT (Wed, 26 Sep 2007)
@@ -15,7 +15,7 @@
         <mi>x</mi>
       </mrow>
       <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
     </msubsup>
@@ -27,7 +27,7 @@
       </mrow>
     </mfenced>
     <mspace width="1em"/>
- <mo>&TildeTilde;</mo>
+ <mo>&#x2248;</mo>
     <mspace width="1em"/>
     <msup>
       <mfenced>
@@ -55,7 +55,7 @@
     <mfrac>
       <mrow>
         <mi>b</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
       <mrow>
@@ -92,7 +92,7 @@
         <mfenced>
           <mrow>
             <mi>b</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mn>1</mn>
           </mrow>
         </mfenced>
@@ -106,12 +106,12 @@
             <mn>3</mn>
             <mi>b</mi>
             <mi>a</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mi>a</mi>
             <mo>+</mo>
             <mn>5</mn>
             <mi>b</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mn>4</mn>
           </mrow>
         </mfenced>
@@ -173,7 +173,7 @@
         <mo>,</mo>
         <mi>a</mi>
         <mo>+</mo>
- <mi>&beta;</mi>
+ <mi>&#x03B2;</mi>
       </mrow>
     </mfenced>
     <mspace width="1em"/>
@@ -181,7 +181,7 @@
     <mo>;</mo>
     <mspace width="1em"/>
     <mspace width="1em"/>
- <mi>&beta;</mi>
+ <mi>&#x03B2;</mi>
     <mo>&lt;</mo>
     <msqrt>
       <mi>a</mi>
@@ -207,7 +207,7 @@
     <mspace width="1em"/>
     <mspace width="1em"/>
     <mn>0.2</mn>
- <mo>&le;</mo>
+ <mo>&#x2264;</mo>
     <mfrac>
       <mi>a</mi>
       <mrow>
@@ -216,7 +216,7 @@
         <mi>b</mi>
       </mrow>
     </mfrac>
- <mo>&le;</mo>
+ <mo>&#x2264;</mo>
     <mn>0.8</mn>
   </mrow>
 </math>
@@ -228,7 +228,7 @@
         <mi>x</mi>
       </mrow>
       <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
     </msubsup>
@@ -240,7 +240,7 @@
       </mrow>
     </mfenced>
     <mspace width="1em"/>
- <mo>&TildeTilde;</mo>
+ <mo>&#x2248;</mo>
     <mspace width="1em"/>
     <msup>
       <mfenced>
@@ -273,7 +273,7 @@
     <mo>=</mo>
     <mspace width="1em"/>
     <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
     <mi>q</mi>
     <mspace width="1em"/>
     <mo>=</mo>
@@ -293,7 +293,7 @@
     <mo>=</mo>
     <mspace width="1em"/>
     <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
     <msub>
       <mi>I</mi>
       <mi>y</mi>
@@ -311,7 +311,7 @@
     <mi>y</mi>
     <mo>=</mo>
     <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
     <mi>x</mi>
   </mrow>
 </math>
@@ -322,14 +322,14 @@
     <mo>=</mo>
     <mspace width="1em"/>
     <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
     <msubsup>
       <mi>I</mi>
       <mrow>
         <mi>x</mi>
       </mrow>
       <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
     </msubsup>
@@ -341,7 +341,7 @@
       </mrow>
     </mfenced>
     <mspace width="1em"/>
- <mo>&TildeTilde;</mo>
+ <mo>&#x2248;</mo>
     <mspace width="1em"/>
     <msup>
       <mfenced>
@@ -435,7 +435,7 @@
       <mfenced>
         <mrow>
           <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <msup>
             <mi>p</mi>
             <mrow>

Modified: sandbox/math_toolkit/libs/math/doc/equations/igamma.xml
==============================================================================
--- sandbox/math_toolkit/libs/math/doc/equations/igamma.xml (original)
+++ sandbox/math_toolkit/libs/math/doc/equations/igamma.xml 2007-09-26 05:34:01 EDT (Wed, 26 Sep 2007)
@@ -20,7 +20,7 @@
     <mspace width="1em"/>
     <mo>=</mo>
     <mspace width="1em"/>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
     <mfenced>
       <mrow>
         <mi>a</mi>
@@ -32,24 +32,24 @@
     <mo>=</mo>
     <mspace width="1em"/>
     <munderover>
- <mo>&Integral;</mo>
+ <mo>&#x222B;</mo>
       <mrow>
         <mi>z</mi>
       </mrow>
- <mi>&infin;</mi>
+ <mi>&#x221E;</mi>
     </munderover>
     <msup>
       <mi>t</mi>
       <mrow>
         <mi>a</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
     </msup>
     <msup>
       <mi>e</mi>
       <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>t</mi>
       </mrow>
     </msup>
@@ -70,7 +70,7 @@
     <mspace width="1em"/>
     <mo>=</mo>
     <mspace width="1em"/>
- <mi>&gamma;</mi>
+ <mi>&#x03B3;</mi>
     <mfenced>
       <mrow>
         <mi>a</mi>
@@ -82,7 +82,7 @@
     <mo>=</mo>
     <mspace width="1em"/>
     <munderover>
- <mo>&Integral;</mo>
+ <mo>&#x222B;</mo>
       <mrow>
         <mn>0</mn>
       </mrow>
@@ -92,14 +92,14 @@
       <mi>t</mi>
       <mrow>
         <mi>a</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
     </msup>
     <msup>
       <mi>e</mi>
       <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>t</mi>
       </mrow>
     </msup>
@@ -133,7 +133,7 @@
     <mspace width="1em"/>
     <mfrac>
       <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
         <mfenced>
           <mrow>
             <mi>a</mi>
@@ -143,7 +143,7 @@
         </mfenced>
       </mrow>
       <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
         <mfenced>
           <mrow>
             <mi>a</mi>
@@ -157,7 +157,7 @@
     <mfrac>
       <mn>1</mn>
       <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
         <mfenced>
           <mrow>
             <mi>a</mi>
@@ -166,24 +166,24 @@
       </mrow>
     </mfrac>
     <munderover>
- <mo>&Integral;</mo>
+ <mo>&#x222B;</mo>
       <mrow>
         <mi>z</mi>
       </mrow>
- <mi>&infin;</mi>
+ <mi>&#x221E;</mi>
     </munderover>
     <msup>
       <mi>t</mi>
       <mrow>
         <mi>a</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
     </msup>
     <msup>
       <mi>e</mi>
       <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>t</mi>
       </mrow>
     </msup>
@@ -217,7 +217,7 @@
     <mspace width="1em"/>
     <mfrac>
       <mrow>
- <mi>&gamma;</mi>
+ <mi>&#x03B3;</mi>
         <mfenced>
           <mrow>
             <mi>a</mi>
@@ -227,7 +227,7 @@
         </mfenced>
       </mrow>
       <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
         <mfenced>
           <mrow>
             <mi>a</mi>
@@ -241,7 +241,7 @@
     <mfrac>
       <mn>1</mn>
       <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
         <mfenced>
           <mrow>
             <mi>a</mi>
@@ -250,7 +250,7 @@
       </mrow>
     </mfrac>
     <munderover>
- <mo>&Integral;</mo>
+ <mo>&#x222B;</mo>
       <mrow>
         <mn>0</mn>
       </mrow>
@@ -260,14 +260,14 @@
       <mi>t</mi>
       <mrow>
         <mi>a</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
     </msup>
     <msup>
       <mi>e</mi>
       <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>t</mi>
       </mrow>
     </msup>
@@ -302,7 +302,7 @@
 </math>
 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
   <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
     <mfenced>
       <mrow>
         <mi>a</mi>
@@ -311,7 +311,7 @@
       </mrow>
     </mfenced>
     <mo>+</mo>
- <mi>&gamma;</mi>
+ <mi>&#x03B3;</mi>
     <mfenced>
       <mrow>
         <mi>a</mi>
@@ -322,7 +322,7 @@
     <mspace width="1em"/>
     <mo>=</mo>
     <mspace width="1em"/>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
     <mfenced>
       <mrow>
         <mi>a</mi>
@@ -345,7 +345,7 @@
     <mspace width="1em"/>
     <mfrac>
       <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
         <mfenced>
           <mrow>
             <mi>a</mi>
@@ -355,7 +355,7 @@
         </mfenced>
       </mrow>
       <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
         <mfenced>
           <mrow>
             <mi>a</mi>
@@ -379,7 +379,7 @@
     <mspace width="1em"/>
     <mfrac>
       <mrow>
- <mi>&gamma;</mi>
+ <mi>&#x03B3;</mi>
         <mfenced>
           <mrow>
             <mi>a</mi>
@@ -389,7 +389,7 @@
         </mfenced>
       </mrow>
       <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
         <mfenced>
           <mrow>
             <mi>a</mi>
@@ -401,7 +401,7 @@
 </math>
 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
   <mrow>
- <mi>&gamma;</mi>
+ <mi>&#x03B3;</mi>
     <mfenced>
       <mrow>
         <mi>a</mi>
@@ -419,23 +419,23 @@
     <msup>
       <mi>e</mi>
       <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>x</mi>
       </mrow>
     </msup>
     <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
       <mrow>
         <mi>k</mi>
         <mo>=</mo>
         <mn>0</mn>
       </mrow>
- <mi>&infin;</mi>
+ <mi>&#x221E;</mi>
     </munderover>
     <mrow>
       <mfrac>
         <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
           <mfenced>
             <mrow>
               <mi>a</mi>
@@ -443,7 +443,7 @@
           </mfenced>
         </mrow>
         <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
           <mfenced>
             <mrow>
               <mi>a</mi>
@@ -470,18 +470,18 @@
     <msup>
       <mi>e</mi>
       <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>x</mi>
       </mrow>
     </msup>
     <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
       <mrow>
         <mi>k</mi>
         <mo>=</mo>
         <mn>0</mn>
       </mrow>
- <mi>&infin;</mi>
+ <mi>&#x221E;</mi>
     </munderover>
     <mfrac>
       <mrow>
@@ -499,7 +499,7 @@
               <mo>+</mo>
               <mn>1</mn>
             </mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           </mover>
         </msup>
       </mrow>
@@ -508,7 +508,7 @@
 </math>
 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
   <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
     <mfenced>
       <mrow>
         <mi>a</mi>
@@ -528,14 +528,14 @@
         <msup>
           <mi>e</mi>
           <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mi>x</mi>
           </mrow>
         </msup>
       </mrow>
       <mrow>
         <mi>x</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>a</mi>
         <mo>+</mo>
         <mn>1</mn>
@@ -574,7 +574,7 @@
                   </mrow>
                 </msub>
                 <mo>+</mo>
- <mo>&hellip;</mo>
+ <mo>&#x2026;</mo>
               </mrow>
             </mfrac>
           </mrow>
@@ -606,7 +606,7 @@
     </msub>
     <mo>=</mo>
     <mi>x</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
     <mi>a</mi>
     <mo>+</mo>
     <mn>2</mn>
@@ -617,7 +617,7 @@
 </math>
 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
   <mrow>
- <mi>&gamma;</mi>
+ <mi>&#x03B3;</mi>
     <mfenced>
       <mrow>
         <mi>a</mi>
@@ -633,20 +633,20 @@
       <mi>a</mi>
     </msup>
     <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
       <mrow>
         <mi>k</mi>
         <mo>=</mo>
         <mn>0</mn>
       </mrow>
- <mi>&infin;</mi>
+ <mi>&#x221E;</mi>
     </munderover>
     <mfrac>
       <mrow>
         <msup>
           <mfenced>
             <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mn>1</mn>
             </mrow>
           </mfenced>
@@ -676,7 +676,7 @@
     <mtable>
       <mtr>
         <mtd>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
           <mfenced>
             <mrow>
               <mi>a</mi>
@@ -695,7 +695,7 @@
                   <mi>a</mi>
                 </mrow>
               </mfenced>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mtext>powm1</mtext>
               <mfenced>
                 <mrow>
@@ -713,20 +713,20 @@
             <mi>a</mi>
           </msup>
           <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
             <mrow>
               <mi>k</mi>
               <mo>=</mo>
               <mn>1</mn>
             </mrow>
- <mi>&infin;</mi>
+ <mi>&#x221E;</mi>
           </munderover>
           <mfrac>
             <mrow>
               <msup>
                 <mfenced>
                   <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                     <mn>1</mn>
                   </mrow>
                 </mfenced>
@@ -760,7 +760,7 @@
             </mrow>
           </mfenced>
           <mo>=</mo>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
           <mfenced>
             <mrow>
               <mi>a</mi>
@@ -768,7 +768,7 @@
               <mn>1</mn>
             </mrow>
           </mfenced>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mn>1</mn>
         </mtd>
       </mtr>
@@ -787,7 +787,7 @@
             <mi>x</mi>
             <mi>a</mi>
           </msup>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mn>1</mn>
         </mtd>
       </mtr>
@@ -805,13 +805,13 @@
         <msup>
           <mi>e</mi>
           <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mi>x</mi>
           </mrow>
         </msup>
       </mrow>
       <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
         <mfenced>
           <mrow>
             <mi>a</mi>
@@ -826,7 +826,7 @@
       <mi>e</mi>
       <mrow>
         <mi>x</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>a</mi>
       </mrow>
     </msup>
@@ -839,7 +839,7 @@
               <mi>a</mi>
               <mo>+</mo>
               <mi>g</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mn>0.5</mn>
             </mrow>
           </mfrac>
@@ -854,7 +854,7 @@
             <mi>a</mi>
             <mo>+</mo>
             <mi>g</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mn>0.5</mn>
           </mrow>
           <mi>e</mi>
@@ -880,7 +880,7 @@
       <mi>e</mi>
       <mrow>
         <mi>x</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>a</mi>
       </mrow>
     </msup>
@@ -893,7 +893,7 @@
               <mi>a</mi>
               <mo>+</mo>
               <mi>g</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mn>0.5</mn>
             </mrow>
           </mfrac>
@@ -915,9 +915,9 @@
               <mfrac>
                 <mrow>
                   <mi>x</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mi>a</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mi>g</mi>
                   <mo>+</mo>
                   <mn>0.5</mn>
@@ -926,7 +926,7 @@
                   <mi>a</mi>
                   <mo>+</mo>
                   <mi>g</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mn>0.5</mn>
                 </mrow>
               </mfrac>
@@ -939,7 +939,7 @@
               <mfenced>
                 <mrow>
                   <mn>0.5</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mi>g</mi>
                 </mrow>
               </mfenced>
@@ -948,7 +948,7 @@
               <mi>a</mi>
               <mo>+</mo>
               <mi>g</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mn>0.5</mn>
             </mrow>
           </mfrac>
@@ -973,7 +973,7 @@
         <mi>z</mi>
       </mrow>
     </mfenced>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
     <mi>z</mi>
   </mrow>
 </math>
@@ -1015,7 +1015,7 @@
                   <mi>z</mi>
                   <mo>+</mo>
                   <mi>g</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mn>0.5</mn>
                 </mrow>
                 <mi>e</mi>
@@ -1024,7 +1024,7 @@
           </mfenced>
           <mi>z</mi>
         </msup>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
         <mo>]</mo>
         <mo>+</mo>
@@ -1035,7 +1035,7 @@
             <mi>z</mi>
           </mrow>
         </mfenced>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
         <mo>]</mo>
         <msup>
@@ -1046,7 +1046,7 @@
                   <mi>z</mi>
                   <mo>+</mo>
                   <mi>g</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mn>0.5</mn>
                 </mrow>
                 <mi>e</mi>
@@ -1075,7 +1075,7 @@
         </mrow>
       </mrow>
     </msqrt>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
     <mn>1</mn>
     <mo>]</mo>
   </mrow>
@@ -1093,62 +1093,6 @@
     <mspace width="1em"/>
     <mo>=</mo>
     <mspace width="1em"/>
- <msup>
- <mi>e</mi>
- <mrow>
- <mo>&minus;</mo>
- <mi>x</mi>
- </mrow>
- </msup>
- <munderover>
- <mo>&Sum;</mo>
- <mrow>
- <mi>n</mi>
- <mo>=</mo>
- <mn>0</mn>
- </mrow>
- <mrow>
- <mi>a</mi>
- <mo>&minus;</mo>
- <mn>1</mn>
- </mrow>
- </munderover>
- <mfrac>
- <mrow>
- <msup>
- <mi>x</mi>
- <mi>n</mi>
- </msup>
- </mrow>
- <mrow>
- <mi>n</mi>
- <mo>!</mo>
- </mrow>
- </mfrac>
- <mspace width="1em"/>
- <mo>;</mo>
- <mspace width="1em"/>
- <mi>a</mi>
- <mo>&Element;</mo>
- <msup>
- <mi>&Nopf;</mi>
- <mo>+</mo>
- </msup>
- </mrow>
-</math>
-<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
- <mrow>
- <mi>Q</mi>
- <mfenced>
- <mrow>
- <mi>a</mi>
- <mo>,</mo>
- <mi>x</mi>
- </mrow>
- </mfenced>
- <mspace width="1em"/>
- <mo>=</mo>
- <mspace width="1em"/>
     <mtext>erfc</mtext>
     <mfenced>
       <mrow>
@@ -1162,19 +1106,19 @@
       <msup>
         <mi>e</mi>
         <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mi>x</mi>
         </mrow>
       </msup>
       <msqrt>
         <mrow>
- <mi>&pi;</mi>
+ <mi>&#x03C0;</mi>
           <mi>x</mi>
         </mrow>
       </msqrt>
     </mfrac>
     <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
       <mrow>
         <mi>n</mi>
         <mo>=</mo>
@@ -1191,18 +1135,18 @@
         <mfenced>
           <mrow>
             <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mfrac>
               <mn>1</mn>
               <mn>2</mn>
             </mfrac>
           </mrow>
         </mfenced>
- <mo>&hellip;</mo>
+ <mo>&#x2026;</mo>
         <mfenced>
           <mrow>
             <mi>n</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mfrac>
               <mn>1</mn>
               <mn>2</mn>
@@ -1226,9 +1170,9 @@
     <mo>;</mo>
     <mspace width="1em"/>
     <mi>i</mi>
- <mo>&Element;</mo>
+ <mo>&#x2208;</mo>
     <msup>
- <mi>&Nopf;</mi>
+ <mi>&#x2115;</mi>
       <mo>+</mo>
     </msup>
   </mrow>
@@ -1258,12 +1202,12 @@
         </msqrt>
       </mrow>
     </mfenced>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
     <mfrac>
       <msup>
         <mi>e</mi>
         <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mi>y</mi>
         </mrow>
       </msup>
@@ -1271,7 +1215,7 @@
         <msqrt>
           <mrow>
             <mn>2</mn>
- <mi>&pi;</mi>
+ <mi>&#x03C0;</mi>
             <mi>a</mi>
           </mrow>
         </msqrt>
@@ -1282,14 +1226,14 @@
       <mrow>
         <mi>a</mi>
         <mo>,</mo>
- <mi>&lambda;</mi>
+ <mi>&#x03BB;</mi>
       </mrow>
     </mfenced>
     <mspace width="1em"/>
     <mo>;</mo>
     <mspace width="1em"/>
- <mi>&lambda;</mi>
- <mo>&le;</mo>
+ <mi>&#x03BB;</mi>
+ <mo>&#x2264;</mo>
     <mn>1</mn>
   </mrow>
 </math>
@@ -1323,7 +1267,7 @@
       <msup>
         <mi>e</mi>
         <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mi>y</mi>
         </mrow>
       </msup>
@@ -1331,7 +1275,7 @@
         <msqrt>
           <mrow>
             <mn>2</mn>
- <mi>&pi;</mi>
+ <mi>&#x03C0;</mi>
             <mi>a</mi>
           </mrow>
         </msqrt>
@@ -1342,20 +1286,20 @@
       <mrow>
         <mi>a</mi>
         <mo>,</mo>
- <mi>&lambda;</mi>
+ <mi>&#x03BB;</mi>
       </mrow>
     </mfenced>
     <mspace width="1em"/>
     <mo>;</mo>
     <mspace width="1em"/>
- <mi>&lambda;</mi>
+ <mi>&#x03BB;</mi>
     <mo>></mo>
     <mn>1</mn>
   </mrow>
 </math>
 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
   <mrow>
- <mi>&lambda;</mi>
+ <mi>&#x03BB;</mi>
     <mo>=</mo>
     <mfrac>
       <mi>x</mi>
@@ -1369,16 +1313,16 @@
     <mi>a</mi>
     <mfenced>
       <mrow>
- <mi>&lambda;</mi>
- <mo>&minus;</mo>
+ <mi>&#x03BB;</mi>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>ln</mi>
- <mi>&lambda;</mi>
+ <mi>&#x03BB;</mi>
       </mrow>
     </mfenced>
     <mo>=</mo>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
     <mi>a</mi>
     <mfenced>
       <mrow>
@@ -1387,22 +1331,22 @@
           <mrow>
             <mn>1</mn>
             <mo>+</mo>
- <mi>&sigma;</mi>
+ <mi>&#x03C3;</mi>
           </mrow>
         </mfenced>
- <mo>&minus;</mo>
- <mi>&sigma;</mi>
+ <mo>&#x2212;</mo>
+ <mi>&#x03C3;</mi>
       </mrow>
     </mfenced>
     <mspace width="1em"/>
     <mo>;</mo>
     <mspace width="1em"/>
- <mi>&sigma;</mi>
+ <mi>&#x03C3;</mi>
     <mo>=</mo>
     <mfrac>
       <mrow>
         <mi>x</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>a</mi>
       </mrow>
       <mi>a</mi>
@@ -1416,14 +1360,14 @@
       <mrow>
         <mi>a</mi>
         <mo>,</mo>
- <mi>&lambda;</mi>
+ <mi>&#x03BB;</mi>
       </mrow>
     </mfenced>
     <mspace width="1em"/>
     <mo>=</mo>
     <mspace width="1em"/>
     <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
       <mrow>
         <mi>k</mi>
         <mo>=</mo>
@@ -1434,7 +1378,7 @@
     <mfenced>
       <mrow>
         <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
           <mrow>
             <mi>n</mi>
             <mo>=</mo>
@@ -1458,7 +1402,7 @@
     <msup>
       <mi>a</mi>
       <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>k</mi>
       </mrow>
     </msup>
@@ -1470,18 +1414,74 @@
     <mtext>sign</mtext>
     <mfenced>
       <mrow>
- <mi>&lambda;</mi>
- <mo>&minus;</mo>
+ <mi>&#x03BB;</mi>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
     </mfenced>
     <msqrt>
       <mrow>
         <mn>2</mn>
- <mi>&sigma;</mi>
+ <mi>&#x03C3;</mi>
       </mrow>
     </msqrt>
   </mrow>
 </math>
+<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
+ <mrow>
+ <mi>Q</mi>
+ <mfenced>
+ <mrow>
+ <mi>a</mi>
+ <mo>,</mo>
+ <mi>x</mi>
+ </mrow>
+ </mfenced>
+ <mspace width="1em"/>
+ <mo>=</mo>
+ <mspace width="1em"/>
+ <msup>
+ <mi>e</mi>
+ <mrow>
+ <mo>&#x2212;</mo>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ <munderover>
+ <mo>&#x2211;</mo>
+ <mrow>
+ <mi>n</mi>
+ <mo>=</mo>
+ <mn>0</mn>
+ </mrow>
+ <mrow>
+ <mi>a</mi>
+ <mo>&#x2212;</mo>
+ <mn>1</mn>
+ </mrow>
+ </munderover>
+ <mfrac>
+ <mrow>
+ <msup>
+ <mi>x</mi>
+ <mi>n</mi>
+ </msup>
+ </mrow>
+ <mrow>
+ <mi>n</mi>
+ <mo>!</mo>
+ </mrow>
+ </mfrac>
+ <mspace width="1em"/>
+ <mo>;</mo>
+ <mspace width="1em"/>
+ <mi>a</mi>
+ <mo>&#x2208;</mo>
+ <msup>
+ <mi>&#x2115;</mi>
+ <mo>+</mo>
+ </msup>
+ </mrow>
+</math>
 </body>
 </html>
\ No newline at end of file

Modified: sandbox/math_toolkit/libs/math/doc/equations/laguerre.xml
==============================================================================
--- sandbox/math_toolkit/libs/math/doc/equations/laguerre.xml (original)
+++ sandbox/math_toolkit/libs/math/doc/equations/laguerre.xml 2007-09-26 05:34:01 EDT (Wed, 26 Sep 2007)
@@ -68,7 +68,7 @@
         <msup>
           <mi>e</mi>
           <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mi>x</mi>
           </mrow>
         </msup>
@@ -109,7 +109,7 @@
     <msup>
       <mfenced>
         <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mn>1</mn>
         </mrow>
       </mfenced>
@@ -171,7 +171,7 @@
             <mi>n</mi>
             <mo>+</mo>
             <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mi>x</mi>
           </mrow>
         </mfenced>
@@ -184,13 +184,13 @@
             <mi>x</mi>
           </mrow>
         </mfenced>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>n</mi>
         <msub>
           <mi>L</mi>
           <mrow>
             <mi>n</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mn>1</mn>
           </mrow>
         </msub>
@@ -237,7 +237,7 @@
         <mi>n</mi>
         <mo>+</mo>
         <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>x</mi>
       </mrow>
       <mrow>
@@ -258,7 +258,7 @@
         <mi>x</mi>
       </mrow>
     </mfenced>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
     <mfrac>
       <mrow>
         <mi>m</mi>
@@ -275,7 +275,7 @@
       <mi>L</mi>
       <mrow>
         <mi>n</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
       <mi>m</mi>

Modified: sandbox/math_toolkit/libs/math/doc/equations/lanczos.xml
==============================================================================
--- sandbox/math_toolkit/libs/math/doc/equations/lanczos.xml (original)
+++ sandbox/math_toolkit/libs/math/doc/equations/lanczos.xml 2007-09-26 05:34:01 EDT (Wed, 26 Sep 2007)
@@ -9,7 +9,7 @@
 <body>
 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
   <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
     <mfenced>
       <mrow>
         <mi>z</mi>
@@ -23,7 +23,7 @@
     <msqrt>
       <mrow>
         <mn>2</mn>
- <mi>&pi;</mi>
+ <mi>&#x03C0;</mi>
       </mrow>
     </msqrt>
     <msup>
@@ -45,7 +45,7 @@
     <msup>
       <mi>e</mi>
       <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mfenced>
           <mrow>
             <mi>z</mi>
@@ -115,7 +115,7 @@
         <mfenced>
           <mrow>
             <mi>z</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mn>1</mn>
           </mrow>
         </mfenced>
@@ -138,7 +138,7 @@
       </mrow>
     </mfrac>
     <mo>+</mo>
- <mo>&hellip;</mo>
+ <mo>&#x2026;</mo>
     <mo>]</mo>
   </mrow>
 </math>
@@ -154,7 +154,7 @@
     <msup>
       <mfenced>
         <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mn>1</mn>
         </mrow>
       </mfenced>
@@ -164,7 +164,7 @@
       <mrow>
         <mfrac>
           <mn>2</mn>
- <mi>&pi;</mi>
+ <mi>&#x03C0;</mi>
         </mfrac>
       </mrow>
     </msqrt>
@@ -174,7 +174,7 @@
     </msup>
     <mi>k</mi>
     <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
       <mrow>
         <mi>j</mi>
         <mo>=</mo>
@@ -185,7 +185,7 @@
     <msup>
       <mfenced>
         <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mn>1</mn>
         </mrow>
       </mfenced>
@@ -198,7 +198,7 @@
             <mi>k</mi>
             <mo>+</mo>
             <mi>j</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mn>1</mn>
           </mrow>
         </mfenced>
@@ -208,7 +208,7 @@
         <mfenced>
           <mrow>
             <mi>k</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mi>j</mi>
           </mrow>
         </mfenced>
@@ -248,7 +248,7 @@
 </math>
 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
   <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
     <mfenced>
       <mrow>
         <mi>z</mi>
@@ -262,13 +262,13 @@
             <mi>z</mi>
             <mo>+</mo>
             <mi>g</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mn>0.5</mn>
           </mrow>
         </mfenced>
         <mrow>
           <mi>z</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mn>0.5</mn>
         </mrow>
       </msup>
@@ -278,7 +278,7 @@
           <mi>z</mi>
           <mo>+</mo>
           <mi>g</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mn>0.5</mn>
         </mrow>
       </msup>
@@ -313,7 +313,7 @@
     </msub>
     <mo>+</mo>
     <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
       <mrow>
         <mi>k</mi>
         <mo>=</mo>
@@ -321,7 +321,7 @@
       </mrow>
       <mrow>
         <mi>N</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
     </munderover>
@@ -334,7 +334,7 @@
         <mi>z</mi>
         <mo>+</mo>
         <mi>k</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>1</mn>
       </mrow>
     </mfrac>
@@ -362,7 +362,7 @@
         </mtd>
         <mtd>
           <mi>i</mi>
- <mo>&NotEqual;</mo>
+ <mo>&#x2260;</mo>
           <mi>j</mi>
         </mtd>
       </mtr>
@@ -384,7 +384,7 @@
       </mtr>
       <mtr>
         <mtd>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mn>1</mn>
         </mtd>
         <mtd>
@@ -407,10 +407,10 @@
                 <mi>D</mi>
                 <mrow>
                   <mi>i</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mn>1,</mn>
                   <mi>i</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mn>1</mn>
                 </mrow>
               </msub>
@@ -419,14 +419,14 @@
                 <mrow>
                   <mn>2</mn>
                   <mi>i</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mn>1</mn>
                 </mrow>
               </mfenced>
             </mrow>
             <mrow>
               <mi>i</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mn>1</mn>
             </mrow>
           </mfrac>
@@ -478,12 +478,12 @@
       </mtr>
       <mtr>
         <mtd>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <msup>
             <mn>1</mn>
             <mrow>
               <mi>j</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mi>i</mi>
             </mrow>
           </msup>
@@ -500,7 +500,7 @@
         </mtd>
         <mtd>
           <mi>j</mi>
- <mo>&GreaterEqual;</mo>
+ <mo>&#x2265;</mo>
           <mi>i</mi>
         </mtd>
       </mtr>
@@ -539,14 +539,14 @@
               <mi>i</mi>
               <mo>+</mo>
               <mi>j</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mn>1</mn>
             </mtd>
           </mtr>
           <mtr>
             <mtd>
               <mi>j</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mi>i</mi>
             </mtd>
           </mtr>
@@ -603,12 +603,12 @@
       </mtr>
       <mtr>
         <mtd>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <msup>
             <mn>1</mn>
             <mrow>
               <mi>i</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mi>j</mi>
             </mrow>
           </msup>
@@ -639,7 +639,7 @@
     <mo>=</mo>
     <mrow>
       <munderover>
- <mo>&Sum;</mo>
+ <mo>&#x2211;</mo>
         <mrow>
           <mi>k</mi>
           <mo>=</mo>
@@ -678,7 +678,7 @@
                 <mi>k</mi>
                 <mo>+</mo>
                 <mi>j</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                 <mi>i</mi>
               </mtd>
             </mtr>
@@ -723,7 +723,7 @@
           <mrow>
             <mn>2</mn>
             <mi>i</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mn>1</mn>
           </mrow>
         </msup>
@@ -749,7 +749,7 @@
 </math>
 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
   <mrow>
- <mi>&Gamma;</mi>
+ <mi>&#x0393;</mi>
     <mfenced>
       <mrow>
         <mi>z</mi>
@@ -764,7 +764,7 @@
               <mi>z</mi>
               <mo>+</mo>
               <mi>g</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mn>0.5</mn>
             </mrow>
             <mi>e</mi>
@@ -773,7 +773,7 @@
       </mfenced>
       <mrow>
         <mi>z</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mn>0.5</mn>
       </mrow>
     </msup>

Modified: sandbox/math_toolkit/libs/math/doc/equations/legendre.xml
==============================================================================
--- sandbox/math_toolkit/libs/math/doc/equations/legendre.xml (original)
+++ sandbox/math_toolkit/libs/math/doc/equations/legendre.xml 2007-09-26 05:34:01 EDT (Wed, 26 Sep 2007)
@@ -65,7 +65,7 @@
             <mi>x</mi>
             <mn>2</mn>
           </msup>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mn>1</mn>
         </mrow>
       </mfenced>
@@ -77,7 +77,7 @@
     <mo>|</mo>
     <mi>x</mi>
     <mo>|</mo>
- <mo>&le;</mo>
+ <mo>&#x2264;</mo>
     <mn>1</mn>
   </mrow>
 </math>
@@ -114,7 +114,7 @@
     <msup>
       <mfenced>
         <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mn>1</mn>
         </mrow>
       </mfenced>
@@ -124,7 +124,7 @@
       <mfenced>
         <mrow>
           <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <msup>
             <mi>x</mi>
             <mn>2</mn>
@@ -206,7 +206,7 @@
                 </mrow>
                 <mrow>
                   <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mi>x</mi>
                 </mrow>
               </mfrac>
@@ -253,13 +253,13 @@
                 </mrow>
                 <mrow>
                   <mn>1</mn>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mi>x</mi>
                 </mrow>
               </mfrac>
             </mrow>
           </mfenced>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mn>1</mn>
         </mtd>
       </mtr>
@@ -277,7 +277,7 @@
               <mi>l</mi>
             </mrow>
             <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mi>m</mi>
             </mrow>
           </msubsup>
@@ -292,7 +292,7 @@
           <msup>
             <mfenced>
               <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                 <mn>1</mn>
               </mrow>
             </mfenced>
@@ -303,7 +303,7 @@
               <mfenced>
                 <mrow>
                   <mi>l</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
                   <mi>m</mi>
                 </mrow>
               </mfenced>
@@ -339,9 +339,9 @@
           <msubsup>
             <mi>P</mi>
             <mrow>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mi>l</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
               <mn>1</mn>
             </mrow>
             <mi>m</mi>
@@ -409,13 +409,13 @@
             <mi>x</mi>
           </mrow>
         </mfenced>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mi>l</mi>
         <msub>
           <mi>P</mi>
           <mrow>
             <mi>l</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mn>1</mn>
           </mrow>
         </msub>
@@ -477,7 +477,7 @@
             <mi>x</mi>
           </mrow>
         </mfenced>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
         <mfenced>
           <mrow>
             <mi>l</mi>
@@ -491,7 +491,7 @@
           <mi>P</mi>
           <mrow>
             <mi>l</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
             <mn>1</mn>
           </mrow>
           <mi>m</mi>
@@ -505,7 +505,7 @@
       <mfenced>
         <mrow>
           <mi>l</mi>
- <mo>&minus;</mo>
+ <mo>&#x2212;</mo>
           <mi>m</mi>
           <mo>+</mo>
           <mn>1</mn>

Modified: sandbox/math_toolkit/libs/math/doc/equations/lgamma.xml
==============================================================================
Binary files sandbox/math_toolkit/libs/math/doc/equations/lgamma.xml (original) and sandbox/math_toolkit/libs/math/doc/equations/lgamma.xml 2007-09-26 05:34:01 EDT (Wed, 26 Sep 2007) differ


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