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From: Ullrich Koethe (koethe_at_[hidden])
Date: 2001-03-29 12:01:43


Jeremy Siek wrote:
>
> I've updated the linear algebra concepts with semantics. There
> still a couple missing, but it is 90% there.
>

Very nice. Here are a few remarks:

1. All algebraic types must refine EqualityComparable.

2. Would it be useful to also introduce (multiplicative) Semigroup and
Group?

3. in Field, you dropped the requirement

   a * b is equivalent to zero(a) if and only if a == zero(a) or b ==
zero(a)

4. In an R-Module, is Commutativity also required ?

5. The Norm type in a Banach space should be a Field (? not sure) and
StrictWeaklyOrdered

Ulli

-- 
 ________________________________________________________________
|                                                                |
| Ullrich Koethe  Universität Hamburg / University of Hamburg    |
|                 FB Informatik / Dept. of Computer Science      |
|                 AB Kognitive Systeme / Cognitive Systems Group |
|                                                                |
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| Email: u.koethe_at_[hidden]               Germany             |
|        koethe_at_[hidden]                        |
| WWW:   http://kogs-www.informatik.uni-hamburg.de/~koethe/      |
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