=================================================================== RCS file: /home/cvs/OpenXM/src/asir-contrib/packages/doc/Attic/sm1.oxweave,v retrieving revision 1.6 retrieving revision 1.7 diff -u -p -r1.6 -r1.7 --- OpenXM/src/asir-contrib/packages/doc/Attic/sm1.oxweave 2002/08/23 08:16:13 1.6 +++ OpenXM/src/asir-contrib/packages/doc/Attic/sm1.oxweave 2003/05/04 08:37:40 1.7 @@ -1,4 +1,4 @@ -/*$OpenXM: OpenXM/src/asir-contrib/packages/doc/sm1.oxweave,v 1.5 2002/08/11 08:39:47 takayama Exp $ */ +/*$OpenXM: OpenXM/src/asir-contrib/packages/doc/sm1.oxweave,v 1.6 2002/08/23 08:16:13 takayama Exp $ */ /*&C-texi @c DO NOT EDIT THIS FILE oxphc.texi @@ -1591,7 +1591,7 @@ division algorithm to @var{f}. The set of variables is @code{sm1_reduction_noH} is for the Weyl algebra. @item The return value is of the form [r,c0,[c1,...,cm],[g1,...gm]] where @var{g}=[g1, ..., gm] and -r/c0 + c1 g1 + ... + cm gm = 0. +c0 f + c1 g1 + ... + cm gm = r. r/c0 is the normal form. @item The function reduction reduces reducible terms that appear in lower order terms. @@ -1629,8 +1629,8 @@ are for distributed polynomials. 省略してもよい. @code{sm1_reduction_noH} は, Weyl algebra 用. @item 戻り値は次の形をしている: -[r,c0,[c1,...,cm],[g1,...gm]] ここで @var{g}=[g1, ..., gm] であり, -r/c0 + c1 g1 + ... + cm gm = 0 +[r,c0,[c1,...,cm],g] ここで @var{g}=[g1, ..., gm] であり, +c0 f + c1 g1 + ... + cm gm = r がなりたつ. r/c0 が normal form である. @item この函数は, 低次項にあらわれる reducible な項も簡単化する. @@ -1642,9 +1642,9 @@ sm1_reduction_d(P,F,G) および sm1_reduction_noH_ /*&C-texi @example [259] sm1_reduction([x^2+y^2-4,[y^4-4*y^2+1,x+y^3-4*y],[x,y]]); -[x^2+y^2-4,1,[0,0],[x+y^3-4*y,y^4-4*y^2+1]] +[x^2+y^2-4,1,[0,0],[y^4-4*y^2+1,x+y^3-4*y]] [260] sm1_reduction([x^2+y^2-4,[y^4-4*y^2+1,x+y^3-4*y],[x,y],[[x,1]]]); -[0,1,[-y^2+4,-x+y^3-4*y],[x+y^3-4*y,y^4-4*y^2+1]] +[0,1,[-y^2+4,-x+y^3-4*y],[y^4-4*y^2+1,x+y^3-4*y]] @end example */ /*&eg-texi