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version 1.3, 1999/12/16 01:22:40 version 1.7, 2000/03/17 04:51:58
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 $OpenXM: OpenXM/src/todo.txt,v 1.2 1999/12/15 13:32:13 takayama Exp $  $OpenXM: OpenXM/src/todo.txt,v 1.6 1999/12/16 04:23:26 takayama Exp $
   
 * ox_porta  (Polytopes).  /*&english
   
   SHORT TERM
   
   * Starting our web cite
        www.mathprog.org or www.openxm.org
   
   * PHC pack for free BSD. (Install Ada compiler and try to generate binary).
        Reference: www.mth.msu.edu/~jan
   
   * A unified environment to solve systems of algebraic equations.
   
   * install-bin
     install-lib
     install-doc
     install-man  の各 target に分解.
   
   OX SERVERS:
   
   * ox_porta  (Polytopes)
      Reference: ftp.elib.zib-berline.de/pub/mathprog       Reference: ftp.elib.zib-berline.de/pub/mathprog
        Computational Geometry.
   
   * ox_sound
        OX server for mathematically synthesized music.
        For example, I want to hear the sound of (x-1)(x-2)(x-3)*sin(x).
   
   * ox_ray_tracer
        It outputs a high quality graphics.
        Can you draw a high-quality graph of z=x^2-y^2?
        Can you draw a high-quality graph of z=1/(x^2+y^2)?
        Can you draw a zero set of x^3-y^2 z^2?
        Can we utilize povray, gimp, ...?
        Many many examples of minimal surfaces.
        Scientific visualization.
        Data format for mathematical graphical data.
        Do we have new problems in 3-dim graphics for Mathematical presentations?
        Generation of video like "turning the sphare inside out"
   
   * ox_turtle
        turtle graphics server.
        Graphics of Cell Automaton.  See the book by Miyachi.
   
   * ox_m2  ox_gap
        Macaulay 2, GAP, opal, etc, etc, ...
        www.matx.org (A free soft like MatLab)
        New CMO should be defined.
   
   
   INTERFACE
   
   * What is the best language for our project
     in view of mathematics and distributed computation?
   
   * A nice help system.  Learning mathematics via the help system.
   
 * KLIC interface for OpenXM.  * KLIC interface for OpenXM.
   
 * (Nara) Standard Lisp interface for OpenXM.  * (Nara) Standard Lisp interface for OpenXM.
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 * MCP on OpenXM  (Web interface and protocols --- by B.Char  * MCP on OpenXM  (Web interface and protocols --- by B.Char
                   See http://snake.mcs.kent.edu.)                    See http://snake.mcs.kent.edu.)
   Middle regulator ... on OpenXM  (Deguchi project)    Middle regulator ... on OpenXM  (Deguchi project)
     Web frontend for OpenXM servers.  w3c.
     Exposition of math programs on web ( asir-contrib/packages/src/dsolv)
     See also  "Algebra, Interactive" (a book by A.Cohen).
   
   * Web cite that keeps math data.  How to organize data?
      see, e.g.,  http://www.goto.info.waseda.ac.jp/~otsuka/polytope/index.html
      http://mathnet.kusm.kyoto-u.ac.jp/index.html
      http://mathmuse.sci.ibaraki.ac.jp
   
   * Participate in the OpenMath project.
   
   * ruby
   
 * OX_DATA_MP     (See http://snake.mcs.kent.edu/areas/protocols/mp.html)  * OX_DATA_MP     (See http://snake.mcs.kent.edu/areas/protocols/mp.html)
   
   
   MATHEMATICS:
   
   *  Algorithmic study of D-modules and enveloping algebras
      (Beilinson-Bernstein correspondence).
   
   *  Minimal resolutions in D.
   
   *  A new subclass of GKZ systems (Shiga's paper).
   
   *  Construction of solutions around irregular singular point
   
   *  High precision computation of hypergeometric integrals
      including Selberg type integrals.
   
   *  Rational solutions of hypergeometric systems.
   
   *  Algorithmic treatment of Orlik-Solomon algebra.
   
   *  Distributed computation of GB.
      Distributed computations in computer algebra in general.
      MPI version of OpenXM.  Multiplying huge polynomials, etc.
   
   
   TEXTS :
   * A nice programming introduction understandable to junior high school kids.
   * Japanese version of the web cite.
   * Summer schools of "Fun of Mathematical Softwares".
   
   See also
      ox_math/todo.txt
      kan96xx/todo.txt
   
   */
   
   

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