version 1.2, 2001/07/11 06:23:16 |
version 1.4, 2002/07/14 13:14:37 |
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/*$OpenXM: OpenXM/src/asir-contrib/packages/doc/sm1.oxweave,v 1.1 2001/07/11 01:00:23 takayama Exp $ */ |
/*$OpenXM: OpenXM/src/asir-contrib/packages/doc/sm1.oxweave,v 1.3 2001/07/12 00:46:29 takayama Exp $ */ |
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/*&C-texi |
/*&C-texi |
@c DO NOT EDIT THIS FILE oxphc.texi |
@c DO NOT EDIT THIS FILE oxphc.texi |
Line 768 def sm1_isListOfVar(A) { |
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Line 768 def sm1_isListOfVar(A) { |
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@findex sm1_gb |
@findex sm1_gb |
@findex sm1_gb_d |
@findex sm1_gb_d |
@table @t |
@table @t |
@item sm1_gb([@var{f},@var{v},@var{w}]|proc=@var{p},sorted=@var{q}) |
@item sm1_gb([@var{f},@var{v},@var{w}]|proc=@var{p},sorted=@var{q},dehomogenize=@var{r}) |
:: computes the Grobner basis of @var{f} in the ring of differential |
:: computes the Grobner basis of @var{f} in the ring of differential |
operators with the variable @var{v}. |
operators with the variable @var{v}. |
@item sm1_gb_d([@var{f},@var{v},@var{w}]|proc=@var{p}) |
@item sm1_gb_d([@var{f},@var{v},@var{w}]|proc=@var{p}) |
Line 780 The result will be returned as a list of distributed p |
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Line 780 The result will be returned as a list of distributed p |
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@table @var |
@table @var |
@item return |
@item return |
List |
List |
@item p, q |
@item p, q, r |
Number |
Number |
@item f, v, w |
@item f, v, w |
List |
List |
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the Grobner basis and the initial ideal |
the Grobner basis and the initial ideal |
with sums of monomials sorted by the given order. |
with sums of monomials sorted by the given order. |
Each polynomial is expressed as a string temporally for now. |
Each polynomial is expressed as a string temporally for now. |
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When the optional variable @var{r} is set to one, |
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the polynomials are dehomogenized (,i.e., h is set to 1). |
@end itemize |
@end itemize |
*/ |
*/ |
/*&jp-texi |
/*&jp-texi |
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@findex sm1_gb |
@findex sm1_gb |
@findex sm1_gb_d |
@findex sm1_gb_d |
@table @t |
@table @t |
@item sm1_gb([@var{f},@var{v},@var{w}]|proc=@var{p},sorted=@var{q}) |
@item sm1_gb([@var{f},@var{v},@var{w}]|proc=@var{p},sorted=@var{q},dehomogenize=@var{r}) |
:: @var{v} $B>e$NHyJ,:nMQAG4D$K$*$$$F(B @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B. |
:: @var{v} $B>e$NHyJ,:nMQAG4D$K$*$$$F(B @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B. |
@item sm1_gb_d([@var{f},@var{v},@var{w}]|proc=@var{p}) |
@item sm1_gb_d([@var{f},@var{v},@var{w}]|proc=@var{p}) |
:: @var{v} $B>e$NHyJ,:nMQAG4D$K$*$$$F(B @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B. $B7k2L$rJ,;6B?9`<0$N%j%9%H$GLa$9(B. |
:: @var{v} $B>e$NHyJ,:nMQAG4D$K$*$$$F(B @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B. $B7k2L$rJ,;6B?9`<0$N%j%9%H$GLa$9(B. |
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@table @var |
@table @var |
@item return |
@item return |
$B%j%9%H(B |
$B%j%9%H(B |
@item p, q |
@item p, q, r |
$B?t(B |
$B?t(B |
@item f, v, w |
@item f, v, w |
$B%j%9%H(B |
$B%j%9%H(B |
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3 $BHVL\$NLa$jCM$H$7$F(B, $B%0%l%V%J4pDl$*$h$S%$%K%7%!%k$N%j%9%H$,(B |
3 $BHVL\$NLa$jCM$H$7$F(B, $B%0%l%V%J4pDl$*$h$S%$%K%7%!%k$N%j%9%H$,(B |
$BM?$($i$l$?=g=x$G%=!<%H$5$l$?%b%N%_%"%k$NOB$H$7$FLa$5$l$k(B. |
$BM?$($i$l$?=g=x$G%=!<%H$5$l$?%b%N%_%"%k$NOB$H$7$FLa$5$l$k(B. |
$B$$$^$N$H$3$m$3$NB?9`<0$O(B, $BJ8;zNs$GI=8=$5$l$k(B. |
$B$$$^$N$H$3$m$3$NB?9`<0$O(B, $BJ8;zNs$GI=8=$5$l$k(B. |
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$B%*%W%7%g%J%kJQ?t(B @var{r} $B$,%;%C%H$5$l$F$$$k$H$-$O(B, |
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$BLa$jB?9`<0$O(B dehomogenize $B$5$l$k(B ($B$9$J$o$A(B h $B$K(B 1 $B$,BeF~$5$l$k(B). |
@end itemize |
@end itemize |
*/ |
*/ |
/*&C-texi |
/*&C-texi |
Line 2992 microcharacteristic variety $B$,(B bihomogeneous $B |
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Line 2996 microcharacteristic variety $B$,(B bihomogeneous $B |
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@item $B;2>H(B |
@item $B;2>H(B |
@code{sm_gb} |
@code{sm_gb} |
@end table |
@end table |
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*/ |
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/*&eg-texi |
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@include sm1-auto-en.texi |
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*/ |
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/*&jp-texi |
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@include sm1-auto-ja.texi |
*/ |
*/ |
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