=================================================================== RCS file: /home/cvs/OpenXM/src/ox_math/todo.txt,v retrieving revision 1.2 retrieving revision 1.3 diff -u -p -r1.2 -r1.3 --- OpenXM/src/ox_math/todo.txt 1999/12/15 13:32:14 1.2 +++ OpenXM/src/ox_math/todo.txt 1999/12/16 01:22:41 1.3 @@ -1,10 +1,11 @@ -$OpenXM: OpenXM/src/ox_math/todo.txt,v 1.1 1999/12/15 10:34:32 takayama Exp $ +$OpenXM: OpenXM/src/ox_math/todo.txt,v 1.2 1999/12/15 13:32:14 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. @@ -14,6 +15,7 @@ $OpenXM: OpenXM/src/ox_math/todo.txt,v 1.1 1999/12/15 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. @@ -21,6 +23,33 @@ $OpenXM: OpenXM/src/ox_math/todo.txt,v 1.1 1999/12/15 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. + +* Add sample programs of asir for the Noro's lecture note: + unkei:~noro/papers/niigata.ps.gz + on computer algebra systems. + +* Sample programs of asir for the book + Mori Masatake, Fortran 77 Suuchi-Keisan Programming, Iwanami. + +* Sample programs for asir + [This item should be moved to src/asir-contrib soon.] + Example 1: + Write sample programs that implements algorithms + in the following books: + R.Sedgewick, Algorithms in C. + Knuth : The Art of Programming, Semi-numerical algorithms. + Cox-O'Shea-Little : Ideals, Varieties, and Algorithms. + Hikita Teruo, C de kaku Algorithm, Science-sha + Chapter 11, geometry algorithm, + Chapter 12, Parallel programming and algorithms. + + Example 2: + Rewrite sample programs in + Kida, Makino : Ubasic ni yoru Computer Seisuu-ron, Nihon Hyoron-sha + by asir and OpenXM. + +