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[Axiom-developer] [Summer of Code] some smaller-scale math projects

From: Bill Page
Subject: [Axiom-developer] [Summer of Code] some smaller-scale math projects
Date: Wed, 01 Jun 2005 19:35:35 -0500

Here are a few more ideas for "math-oriented" summer
coding projects:

* expand Axiom's set of linear algebra algorithm's to
  include symbolic LU decomposition and other missing
  common operations

* extend the functionality of Axiom's non-commutative
  polynomial domains (XPOLY) to permit substitions and
  rule-based pattern matching.

* implement a new Axiom matematical category of directed graphs
  to serve as the foundation for several other projects ranging
  from the domain of categories (in the sense of category theory)
  to more pedesteran concerns such as data structures operations
  on graphs (based on graph theory) and integration of tools for
  the efficient display of large graphs (of particular interest
  to future maintenance and development of complex dependency
  structure of the Axiom library itself).

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