=================================================================== RCS file: /home/cvs/OpenXM/src/asir-contrib/packages/doc/Attic/sm1.oxweave,v retrieving revision 1.4 retrieving revision 1.5 diff -u -p -r1.4 -r1.5 --- OpenXM/src/asir-contrib/packages/doc/Attic/sm1.oxweave 2002/07/14 13:14:37 1.4 +++ OpenXM/src/asir-contrib/packages/doc/Attic/sm1.oxweave 2002/08/11 08:39:47 1.5 @@ -1,4 +1,4 @@ -/*$OpenXM: OpenXM/src/asir-contrib/packages/doc/sm1.oxweave,v 1.3 2001/07/12 00:46:29 takayama Exp $ */ +/*$OpenXM: OpenXM/src/asir-contrib/packages/doc/sm1.oxweave,v 1.4 2002/07/14 13:14:37 takayama Exp $ */ /*&C-texi @c DO NOT EDIT THIS FILE oxphc.texi @@ -69,12 +69,7 @@ cohomology groups. /*&C-texi @example -This is Risa/Asir, Version 20000126. -Copyright (C) FUJITSU LABORATORIES LIMITED. -1994-1999. All rights reserved. -xm version 20000202. Copyright (C) OpenXM Developing Team. 2000. -ox_help(0); ox_help("keyword"); ox_grep("keyword"); for help message -Loading ~/.asirrc +@include opening.texi [283] sm1_deRham([x*(x-1),[x]]); [1,2] @@ -407,13 +402,13 @@ def sm1(P,F) { /*&jp-texi @table @t @item 参照 - @code{sm1_start}, @code{ox_push_int0}, @code{sm1_push_poly0}. + @code{sm1_start}, @code{ox_push_int0}, @code{sm1_push_poly0}, @code{Sm1_proc}. @end table */ /*&eg-texi @table @t @item Reference - @code{sm1_start}, @code{ox_push_int0}, @code{sm1_push_poly0}. + @code{sm1_start}, @code{ox_push_int0}, @code{sm1_push_poly0}, @code{Sm1_proc}. @end table */ @@ -1123,7 +1118,7 @@ mode. So, it is strongly recommended to execute the co @table @t @item Reference @code{sm1_start}, @code{deRham} (sm1 command) -@item Reference paper +@item Algorithm: Oaku, Takayama, An algorithm for de Rham cohomology groups of the complement of an affine variety via D-module computation, Journal of pure and applied algebra 139 (1999), 201--233. @@ -1133,7 +1128,7 @@ mode. So, it is strongly recommended to execute the co @table @t @item 参照 @code{sm1_start}, @code{deRham} (sm1 command) -@item 参考論文 +@item Algorithm: Oaku, Takayama, An algorithm for de Rham cohomology groups of the complement of an affine variety via D-module computation, Journal of pure and applied algebra 139 (1999), 201--233. @@ -2910,16 +2905,19 @@ of the system of differential equations @var{ii} along the hyperplane specified by the V filtration @var{v_filtration}. @item @var{v} is a list of variables. -@item As to the algorithm, -see "A.Assi, F.J.Castro-Jimenez and J.M.Granger, -How to calculate the slopes of a D-module, Compositio Math, 104, 1-17, 1996" -Note that the signs of the slopes are negative, but the absolute values -of the slopes are returned. @item The return value is a list of lists. The first entry of each list is the slope and the second entry is the weight vector for which the microcharacteristic variety is not bihomogeneous. @end itemize + +@noindent +Algorithm: +see "A.Assi, F.J.Castro-Jimenez and J.M.Granger, +How to calculate the slopes of a D-module, Compositio Math, 104, 1-17, 1996" +Note that the signs of the slopes are negative, but the absolute values +of the slopes are returned. + */ /*&jp-texi @@ -2954,16 +2952,18 @@ not bihomogeneous. 微分方程式系 @var{ii} の V filtration @var{v_filtration} で指定する超平面に沿っての (geomeric) slope を計算する. @item @var{v} は変数のリスト. -@item 使用しているアルゴリズムについては, +@item 戻り値は, リストを成分とするリストである. +成分リストの第 1 要素が slope, 第 2 要素は, その weight vector に対応する +microcharacteristic variety が bihomogeneous でない. +@end itemize + +@noindent +Algorithm: "A.Assi, F.J.Castro-Jimenez and J.M.Granger, How to calculate the slopes of a D-module, Compositio Math, 104, 1-17, 1996" をみよ. Slope の本来の定義では, 符号が負となるが, このプログラムは, Slope の絶対値を戻す. -@item 戻り値は, リストを成分とするリストである. -成分リストの第 1 要素が slope, 第 2 要素は, その weight vector に対応する -microcharacteristic variety が bihomogeneous でない. -@end itemize */ /*&C-texi