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Annotation of OpenXM/src/ox_math/todo.txt, Revision 1.3

1.3     ! takayama    1: $OpenXM: OpenXM/src/ox_math/todo.txt,v 1.2 1999/12/15 13:32:14 takayama Exp $
1.1       takayama    2:
                      3: * We need examples of client programs which can be used
                      4:   in class rooms or in study of mathematics.
                      5:   Example 1:
                      6:     \beta nbc basis.
                      7:     Mathematica --> ox_asir (\beta nbc package)
1.3     ! takayama    8:     Reference : Orlik and Terao, Arrangements of Hyperplanes, Springer.
1.1       takayama    9:   Example 2:
                     10:     Generate randomly symmetric matrices and
                     11:     display the distribution of the maximal eigenvalues.
                     12:     asir --> ox_math(EigenValues) and ox_gnuplot
                     13:   Example 3:
                     14:     Translate the Selberg differential equation to
                     15:     a Pfaffian form.
                     16:     Mathematica --> ox_sm1.
1.2       takayama   17:     asir --> ox_sm1.
1.3     ! takayama   18:     Reference : Aomoto and Kita, Hypergeometric Functions, Appendix.
1.1       takayama   19:   Example 4:
                     20:     Mathematica Note book that explains what is primary ideal
                     21:     decomposition.
                     22:     Mathematica --> ox_asir.
                     23:   Example 5:
                     24:     Taylor expansion.
                     25:     asir --> ox_math.
1.3     ! takayama   26:
        !            27: * Find rational solutions of Garnier systems by exhaustive search.
        !            28:   It is a nice problem of solving algebraic equations.
        !            29:
        !            30: * Add sample programs of asir for the Noro's lecture note:
        !            31:      unkei:~noro/papers/niigata.ps.gz
        !            32:   on computer algebra systems.
        !            33:
        !            34: * Sample programs of asir for the book
        !            35:      Mori Masatake, Fortran 77 Suuchi-Keisan Programming, Iwanami.
        !            36:
        !            37: * Sample programs for asir
        !            38:   [This item should be moved to src/asir-contrib soon.]
        !            39:   Example 1:
        !            40:     Write sample programs that implements algorithms
        !            41:     in the following books:
        !            42:      R.Sedgewick, Algorithms in C.
        !            43:      Knuth : The Art of Programming, Semi-numerical algorithms.
        !            44:      Cox-O'Shea-Little :  Ideals, Varieties, and Algorithms.
        !            45:      Hikita Teruo, C de kaku Algorithm,  Science-sha
        !            46:           Chapter 11, geometry algorithm,
        !            47:           Chapter 12, Parallel programming and algorithms.
        !            48:
        !            49:   Example 2:
        !            50:     Rewrite sample programs in
        !            51:         Kida, Makino : Ubasic ni yoru Computer Seisuu-ron, Nihon Hyoron-sha
        !            52:     by asir and OpenXM.
        !            53:
        !            54:
1.1       takayama   55: