File: [local] / OpenXM / src / todo.txt (download)
Revision 1.8, Fri Mar 17 04:59:11 2000 UTC (24 years, 6 months ago) by takayama
Branch: MAIN
CVS Tags: maekawa-ipv6, RELEASE_1_2_1, RELEASE_1_1_3, RELEASE_1_1_2 Changes since 1.7: +22 -3
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More update.
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$OpenXM: OpenXM/src/todo.txt,v 1.8 2000/03/17 04:59:11 takayama Exp $
/*&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.
* Decompose the install target to
install-bin
install-lib
install-doc
install-man
OpenXM PROTOCOL ITSELF
* Notify the error "ox server ox_hogehoge does not exists."
* Restarting server
(ox_sm1 does not restore the stack after the error.)
* Make the control process as an ox stackmachine.
* Support of tree structures? How?
* Starting the remote session by ssh (Tamura and Ohara)
* Security level (cf. sm1 [(SecureMode) 1] system_variable)
* SPEED UP!
OX SERVERS:
* ox_porta (Polytopes)
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.
* (Nara) Standard Lisp interface for OpenXM.
* MCP on OpenXM (Web interface and protocols --- by B.Char
See http://snake.mcs.kent.edu.)
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)
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
*/