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Annotation of OpenXM/src/todo.txt, Revision 1.8

1.8     ! takayama    1: $OpenXM: OpenXM/src/todo.txt,v 1.7 2000/03/17 04:51:58 takayama Exp $
1.4       takayama    2:
1.7       takayama    3: /*&english
                      4:
                      5: SHORT TERM
1.5       takayama    6:
1.6       takayama    7: * Starting our web cite
1.7       takayama    8:      www.mathprog.org or www.openxm.org
1.4       takayama    9:
1.7       takayama   10: * PHC pack for free BSD. (Install Ada compiler and try to generate binary).
1.4       takayama   11:      Reference: www.mth.msu.edu/~jan
1.2       takayama   12:
1.7       takayama   13: * A unified environment to solve systems of algebraic equations.
                     14:
1.8     ! takayama   15: * Decompose the install target to
        !            16:   install-bin
1.7       takayama   17:   install-lib
                     18:   install-doc
1.8     ! takayama   19:   install-man
        !            20:
        !            21:
        !            22: OpenXM PROTOCOL ITSELF
        !            23:
        !            24: * Notify the error "ox server ox_hogehoge does not exists."
        !            25:
        !            26: * Restarting server
        !            27:   (ox_sm1 does not restore the stack after the error.)
        !            28:
        !            29: * Make the control process as an ox stackmachine.
        !            30:
        !            31: * Support of tree structures?  How?
        !            32:
        !            33: * Starting the remote session by ssh (Tamura and Ohara)
        !            34:
        !            35: * Security level (cf. sm1 [(SecureMode) 1] system_variable)
        !            36:
        !            37: * SPEED UP!
1.7       takayama   38:
                     39: OX SERVERS:
                     40:
                     41: * ox_porta  (Polytopes)
1.3       takayama   42:      Reference: ftp.elib.zib-berline.de/pub/mathprog
1.7       takayama   43:      Computational Geometry.
1.6       takayama   44:
                     45: * ox_sound
                     46:      OX server for mathematically synthesized music.
                     47:      For example, I want to hear the sound of (x-1)(x-2)(x-3)*sin(x).
                     48:
                     49: * ox_ray_tracer
                     50:      It outputs a high quality graphics.
1.7       takayama   51:      Can you draw a high-quality graph of z=x^2-y^2?
                     52:      Can you draw a high-quality graph of z=1/(x^2+y^2)?
                     53:      Can you draw a zero set of x^3-y^2 z^2?
                     54:      Can we utilize povray, gimp, ...?
                     55:      Many many examples of minimal surfaces.
                     56:      Scientific visualization.
                     57:      Data format for mathematical graphical data.
                     58:      Do we have new problems in 3-dim graphics for Mathematical presentations?
                     59:      Generation of video like "turning the sphare inside out"
                     60:
                     61: * ox_turtle
                     62:      turtle graphics server.
                     63:      Graphics of Cell Automaton.  See the book by Miyachi.
                     64:
                     65: * ox_m2  ox_gap
                     66:      Macaulay 2, GAP, opal, etc, etc, ...
                     67:      www.matx.org (A free soft like MatLab)
                     68:      New CMO should be defined.
                     69:
                     70:
                     71: INTERFACE
                     72:
                     73: * What is the best language for our project
                     74:   in view of mathematics and distributed computation?
                     75:
                     76: * A nice help system.  Learning mathematics via the help system.
1.2       takayama   77:
                     78: * KLIC interface for OpenXM.
                     79:
                     80: * (Nara) Standard Lisp interface for OpenXM.
                     81:
                     82: * MCP on OpenXM  (Web interface and protocols --- by B.Char
                     83:                   See http://snake.mcs.kent.edu.)
                     84:   Middle regulator ... on OpenXM  (Deguchi project)
1.7       takayama   85:   Web frontend for OpenXM servers.  w3c.
                     86:   Exposition of math programs on web ( asir-contrib/packages/src/dsolv)
                     87:   See also  "Algebra, Interactive" (a book by A.Cohen).
                     88:
                     89: * Web cite that keeps math data.  How to organize data?
                     90:    see, e.g.,  http://www.goto.info.waseda.ac.jp/~otsuka/polytope/index.html
                     91:    http://mathnet.kusm.kyoto-u.ac.jp/index.html
                     92:    http://mathmuse.sci.ibaraki.ac.jp
                     93:
                     94: * Participate in the OpenMath project.
                     95:
                     96: * ruby
1.2       takayama   97:
                     98: * OX_DATA_MP     (See http://snake.mcs.kent.edu/areas/protocols/mp.html)
1.1       takayama   99:
1.7       takayama  100:
                    101: MATHEMATICS:
                    102:
                    103: *  Algorithmic study of D-modules and enveloping algebras
                    104:    (Beilinson-Bernstein correspondence).
                    105:
                    106: *  Minimal resolutions in D.
                    107:
                    108: *  A new subclass of GKZ systems (Shiga's paper).
                    109:
                    110: *  Construction of solutions around irregular singular point
                    111:
                    112: *  High precision computation of hypergeometric integrals
                    113:    including Selberg type integrals.
                    114:
                    115: *  Rational solutions of hypergeometric systems.
                    116:
                    117: *  Algorithmic treatment of Orlik-Solomon algebra.
                    118:
                    119: *  Distributed computation of GB.
                    120:    Distributed computations in computer algebra in general.
                    121:    MPI version of OpenXM.  Multiplying huge polynomials, etc.
                    122:
                    123:
                    124: TEXTS :
                    125: * A nice programming introduction understandable to junior high school kids.
                    126: * Japanese version of the web cite.
                    127: * Summer schools of "Fun of Mathematical Softwares".
                    128:
                    129: See also
                    130:    ox_math/todo.txt
                    131:    kan96xx/todo.txt
                    132:
                    133: */
1.1       takayama  134:
                    135: