=================================================================== RCS file: /home/cvs/OpenXM/src/asir-contrib/packages/doc/Attic/sm1.oxweave,v retrieving revision 1.16 retrieving revision 1.18 diff -u -p -r1.16 -r1.18 --- OpenXM/src/asir-contrib/packages/doc/Attic/sm1.oxweave 2004/03/05 19:05:11 1.16 +++ OpenXM/src/asir-contrib/packages/doc/Attic/sm1.oxweave 2004/05/28 01:22:13 1.18 @@ -1,4 +1,4 @@ -/*$OpenXM: OpenXM/src/asir-contrib/packages/doc/sm1.oxweave,v 1.15 2004/03/05 15:56:40 ohara Exp $ */ +/*$OpenXM: OpenXM/src/asir-contrib/packages/doc/sm1.oxweave,v 1.17 2004/05/14 01:25:03 takayama Exp $ */ /*&C @c DO NOT EDIT THIS FILE oxphc.texi @@ -1450,6 +1450,10 @@ List @itemize @bullet @item Ask the sm1 server to multiply @var{f} and @var{g} in the ring of differential operators over @var{v}. @item @code{sm1.mul_h} is for homogenized Weyl algebra. +@item BUG: @code{sm1.mul(p0*dp0,1,[p0])} returns +@code{dp0*p0+1}. +A variable order such that d-variables come after non-d-variables +is necessary for the correct computation. @end itemize */ @@ -1478,6 +1482,9 @@ List @item sm1サーバ に @var{f} かける @var{g} を @var{v} 上の微分作用素環でやってくれるように頼む. @item @code{sm1.mul_h} は homogenized Weyl 代数用. +@item BUG: @code{sm1.mul(p0*dp0,1,[p0])} は +@code{dp0*p0+1} を戻す. +d変数が後ろにくるような変数順序がはいっていないと, この関数は正しい答えを戻さない. @end itemize */ @@ -1679,6 +1686,9 @@ F_D(a,b1,b2,...,bn,c;x1,...,xn) where @var{a} =(a,c,b1,...,bn). When n=2, the Lauricella function is called the Appell function F_1. The parameters a, c, b1, ..., bn may be rational numbers. +@item It does not call sm1 function appell1. As a concequence, +when parameters are rational or symbolic, this function also works +as well as integral parameters. @end itemize */ @@ -1706,6 +1716,8 @@ F_D(a,b1,b2,...,bn,c;x1,...,xn) のみたす微分方程式系を戻す. ここで, @var{a} =(a,c,b1,...,bn). パラメータは有理数でもよい. +@item sm1 の関数 appell1 をよぶわけでないので, パラメータが有理数や文字式の場合も +正しく動く. @end itemize */ @@ -1728,7 +1740,7 @@ F_D(a,b1,b2,...,bn,c;x1,...,xn) [x1*dx1*dx2,-x1^2*dx1^2,-x2^2*dx1*dx2,-x1*x2^2*dx2^2]] [283] sm1.rank(sm1.appell1([1/2,3,5,-1/3])); -1 +3 [285] Mu=2$ Beta = 1/3$ [287] sm1.rank(sm1.appell1([Mu+Beta,Mu+1,Beta,Beta,Beta])); @@ -1763,6 +1775,9 @@ F_4(a,b,c1,c2,...,cn;x1,...,xn) where @var{a} =(a,b,c1,...,cn). When n=2, the Lauricella function is called the Appell function F_4. The parameters a, b, c1, ..., cn may be rational numbers. +@item @item It does not call sm1 function appell4. As a concequence, +when parameters are rational or symbolic, this function also works +as well as integral parameters. @end itemize */ @@ -1790,6 +1805,8 @@ F_C(a,b,c1,c2,...,cn;x1,...,xn) のみたす微分方程式系を戻す. ここで, @var{a} =(a,b,c1,...,cn). パラメータは有理数でもよい. +@item sm1 の関数 appell1 をよぶわけでないので, パラメータが有理数や文字式の場合も +正しく動く. @end itemize */