=================================================================== RCS file: /home/cvs/OpenXM/src/ox_math/todo.txt,v retrieving revision 1.1 retrieving revision 1.4 diff -u -p -r1.1 -r1.4 --- OpenXM/src/ox_math/todo.txt 1999/12/15 10:34:32 1.1 +++ OpenXM/src/ox_math/todo.txt 1999/12/16 02:04:35 1.4 @@ -1,10 +1,11 @@ -$OpenXM$ +$OpenXM: OpenXM/src/ox_math/todo.txt,v 1.3 1999/12/16 01:22:41 takayama Exp $ * We need examples of client programs which can be used in class rooms or in study of mathematics. Example 1: \beta nbc basis. Mathematica --> ox_asir (\beta nbc package) + Reference : Orlik and Terao, Arrangements of Hyperplanes, Springer. Example 2: Generate randomly symmetric matrices and display the distribution of the maximal eigenvalues. @@ -13,6 +14,8 @@ $OpenXM$ Translate the Selberg differential equation to a Pfaffian form. Mathematica --> ox_sm1. + asir --> ox_sm1. + Reference : Aomoto and Kita, Hypergeometric Functions, Appendix. Example 4: Mathematica Note book that explains what is primary ideal decomposition. @@ -20,6 +23,16 @@ $OpenXM$ Example 5: Taylor expansion. asir --> ox_math. - Example 6: - Find examples from the books of Sejivic, Knuth, Cox-O'Shea-Little. + +* Find rational solutions of Garnier systems by exhaustive search. + It is a nice problem of solving algebraic equations. + + + + + + + + +