Annotation of OpenXM/src/ox_math/todo.txt, Revision 1.5
1.5 ! takayama 1: $OpenXM: OpenXM/src/ox_math/todo.txt,v 1.4 1999/12/16 02:04:35 takayama Exp $
! 2:
! 3: * The package Selberg.
! 4:
! 5: * Online usage
! 6:
! 7: * Mathematica-contrib that matches to asir-contrib
! 8: See OpenXM/src/asir-contrib/packages/doc/cman.texi
1.1 takayama 9:
10: * We need examples of client programs which can be used
11: in class rooms or in study of mathematics.
12: Example 1:
13: \beta nbc basis.
14: Mathematica --> ox_asir (\beta nbc package)
1.3 takayama 15: Reference : Orlik and Terao, Arrangements of Hyperplanes, Springer.
1.1 takayama 16: Example 2:
17: Generate randomly symmetric matrices and
18: display the distribution of the maximal eigenvalues.
19: asir --> ox_math(EigenValues) and ox_gnuplot
20: Example 3:
21: Translate the Selberg differential equation to
22: a Pfaffian form.
23: Mathematica --> ox_sm1.
1.2 takayama 24: asir --> ox_sm1.
1.3 takayama 25: Reference : Aomoto and Kita, Hypergeometric Functions, Appendix.
1.1 takayama 26: Example 4:
27: Mathematica Note book that explains what is primary ideal
28: decomposition.
29: Mathematica --> ox_asir.
30: Example 5:
31: Taylor expansion.
32: asir --> ox_math.
1.3 takayama 33:
34: * Find rational solutions of Garnier systems by exhaustive search.
35: It is a nice problem of solving algebraic equations.
36:
37:
38:
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1.4 takayama 40:
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1.3 takayama 43:
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1.1 takayama 45:
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