version 1.5, 2002/08/11 08:39:47 |
version 1.6, 2002/08/23 08:16:13 |
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/*$OpenXM: OpenXM/src/asir-contrib/packages/doc/sm1.oxweave,v 1.4 2002/07/14 13:14:37 takayama Exp $ */ |
/*$OpenXM: OpenXM/src/asir-contrib/packages/doc/sm1.oxweave,v 1.5 2002/08/11 08:39:47 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 |
*/ |
*/ |
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/*&C-texi |
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@node SM1 Functions,,, Top |
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*/ |
/*&jp-texi |
/*&jp-texi |
@node SM1 $BH!?t(B,,, Top |
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@chapter SM1 $BH!?t(B |
@chapter SM1 $BH!?t(B |
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$B$3$N@a$G$O(B sm1 $B$N(B ox $B%5!<%P(B @code{ox_sm1_forAsir} |
$B$3$N@a$G$O(B sm1 $B$N(B ox $B%5!<%P(B @code{ox_sm1_forAsir} |
Line 31 $X$ $B$OJ?LL$KFs$D$N7j$r$"$1$?6u4V$G$"$k$N$G(B, $BE |
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Line 33 $X$ $B$OJ?LL$KFs$D$N7j$r$"$1$?6u4V$G$"$k$N$G(B, $BE |
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@end tex |
@end tex |
*/ |
*/ |
/*&eg-texi |
/*&eg-texi |
@node SM1 Functions,,, Top |
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@chapter SM1 Functions |
@chapter SM1 Functions |
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This chapter describes interface functions for |
This chapter describes interface functions for |
Line 84 Grobner Deformations of Hypergeometric Differential Eq |
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Line 85 Grobner Deformations of Hypergeometric Differential Eq |
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1999, Springer. |
1999, Springer. |
See the appendix. |
See the appendix. |
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*/ |
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/* |
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@menu |
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* ox_sm1_forAsir:: |
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* sm1_start:: |
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* sm1:: |
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* sm1_push_int0:: |
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* sm1_gb:: |
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* sm1_deRham:: |
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* sm1_hilbert:: |
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* hilbert_polynomial:: |
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* sm1_genericAnn:: |
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* sm1_wTensor0:: |
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* sm1_reduction:: |
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* sm1_xml_tree_to_prefix_string:: |
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* sm1_syz:: |
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* sm1_mul:: |
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* sm1_distraction:: |
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* sm1_gkz:: |
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* sm1_appell1:: |
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* sm1_appell4:: |
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* sm1_rank:: |
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* sm1_auto_reduce:: |
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* sm1_slope:: |
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@end menu |
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*/ |
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/*&jp-texi |
/*&jp-texi |
@section @code{ox_sm1_forAsir} $B%5!<%P(B |
@section @code{ox_sm1_forAsir} $B%5!<%P(B |
*/ |
*/ |
Line 92 See the appendix. |
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Line 120 See the appendix. |
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*/ |
*/ |
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/*&eg-texi |
/*&eg-texi |
@menu |
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* ox_sm1_forAsir:: |
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@end menu |
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@node ox_sm1_forAsir,,, Top |
@node ox_sm1_forAsir,,, Top |
@subsection @code{ox_sm1_forAsir} |
@subsection @code{ox_sm1_forAsir} |
@findex ox_sm1_forAsir |
@findex ox_sm1_forAsir |
Line 126 to build your own server by reading @code{sm1} macros. |
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Line 151 to build your own server by reading @code{sm1} macros. |
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@end itemize |
@end itemize |
*/ |
*/ |
/*&jp-texi |
/*&jp-texi |
@menu |
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* ox_sm1_forAsir:: |
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@end menu |
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@node ox_sm1_forAsir,,, Top |
@node ox_sm1_forAsir,,, Top |
@subsection @code{ox_sm1_forAsir} |
@subsection @code{ox_sm1_forAsir} |
@findex ox_sm1_forAsir |
@findex ox_sm1_forAsir |
Line 185 def sm1_check_server(P) { |
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Line 207 def sm1_check_server(P) { |
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/*&eg-texi |
/*&eg-texi |
@c sort-sm1_start |
@c sort-sm1_start |
@menu |
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* sm1_start:: |
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@end menu |
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@node sm1_start,,, SM1 Functions |
@node sm1_start,,, SM1 Functions |
@subsection @code{sm1_start} |
@subsection @code{sm1_start} |
@findex sm1_start |
@findex sm1_start |
Line 228 differential operators in default. (cf. @code{Sm1_ord_ |
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Line 247 differential operators in default. (cf. @code{Sm1_ord_ |
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*/ |
*/ |
/*&jp-texi |
/*&jp-texi |
@c sort-sm1_start |
@c sort-sm1_start |
@menu |
@node sm1_start,,, SM1 Functions |
* sm1_start:: |
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@end menu |
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@node sm1_start,,, SM1 $BH!?t(B |
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@subsection @code{sm1_start} |
@subsection @code{sm1_start} |
@findex sm1_start |
@findex sm1_start |
@table @t |
@table @t |
Line 332 def sm1push(P,F) { |
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Line 348 def sm1push(P,F) { |
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/*&eg-texi |
/*&eg-texi |
@c sort-sm1 |
@c sort-sm1 |
@menu |
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* sm1:: |
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@end menu |
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@node sm1,,, SM1 Functions |
@node sm1,,, SM1 Functions |
@subsection @code{sm1} |
@subsection @code{sm1} |
@findex sm1 |
@findex sm1 |
Line 358 to execute the command string @var{s}. |
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Line 371 to execute the command string @var{s}. |
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@end itemize |
@end itemize |
*/ |
*/ |
/*&jp-texi |
/*&jp-texi |
@menu |
@node sm1,,, SM1 Functions |
* sm1:: |
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@end menu |
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@node sm1,,, SM1 $BH!?t(B |
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@subsection @code{sm1} |
@subsection @code{sm1} |
@findex sm1 |
@findex sm1 |
@table @t |
@table @t |
Line 518 def sm1_push_int0_R(A,P) { |
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Line 528 def sm1_push_int0_R(A,P) { |
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/*&eg-texi |
/*&eg-texi |
@c sort-sm1_push_int0 |
@c sort-sm1_push_int0 |
@menu |
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* sm1_push_int0:: |
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@end menu |
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@node sm1_push_int0,,, SM1 Functions |
@node sm1_push_int0,,, SM1 Functions |
@subsection @code{sm1_push_int0} |
@subsection @code{sm1_push_int0} |
@findex sm1_push_int0 |
@findex sm1_push_int0 |
Line 559 Note that @code{ox_push_cmo(@var{p},1234)} send the bi |
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Line 566 Note that @code{ox_push_cmo(@var{p},1234)} send the bi |
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*/ |
*/ |
/*&jp-texi |
/*&jp-texi |
@c sort-sm1_push_int0 |
@c sort-sm1_push_int0 |
@menu |
@node sm1_push_int0,,, SM1 Functions |
* sm1_push_int0:: |
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@end menu |
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@node sm1_push_int0,,, SM1 $BH!?t(B |
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@subsection @code{sm1_push_int0} |
@subsection @code{sm1_push_int0} |
@findex sm1_push_int0 |
@findex sm1_push_int0 |
@table @t |
@table @t |
Line 754 def sm1_isListOfVar(A) { |
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Line 758 def sm1_isListOfVar(A) { |
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/*&eg-texi |
/*&eg-texi |
@c sort-sm1_gb |
@c sort-sm1_gb |
@menu |
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* sm1_gb:: |
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@end menu |
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@node sm1_gb,,, SM1 Functions |
@node sm1_gb,,, SM1 Functions |
@node sm1_gb_d,,, SM1 Functions |
@node sm1_gb_d,,, SM1 Functions |
@subsection @code{sm1_gb} |
@subsection @code{sm1_gb} |
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*/ |
*/ |
/*&jp-texi |
/*&jp-texi |
@c sort-sm1_gb |
@c sort-sm1_gb |
@menu |
@node sm1_gb,,, SM1 Functions |
* sm1_gb:: |
@node sm1_gb_d,,, SM1 Functions |
@end menu |
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@node sm1_gb,,, SM1 $BH!?t(B |
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@node sm1_gb_d,,, SM1 $BH!?t(B |
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@subsection @code{sm1_gb} |
@subsection @code{sm1_gb} |
@findex sm1_gb |
@findex sm1_gb |
@findex sm1_gb_d |
@findex sm1_gb_d |
Line 1013 def sm1_pgb(A) { |
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Line 1011 def sm1_pgb(A) { |
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/*&eg-texi |
/*&eg-texi |
@c sort-sm1_deRham |
@c sort-sm1_deRham |
@menu |
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* sm1_deRham:: |
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@end menu |
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@node sm1_deRham,,, SM1 Functions |
@node sm1_deRham,,, SM1 Functions |
@subsection @code{sm1_deRham} |
@subsection @code{sm1_deRham} |
@findex sm1_deRham |
@findex sm1_deRham |
Line 1061 mode. So, it is strongly recommended to execute the co |
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Line 1056 mode. So, it is strongly recommended to execute the co |
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*/ |
*/ |
/*&jp-texi |
/*&jp-texi |
@c sort-sm1_deRham |
@c sort-sm1_deRham |
@menu |
@node sm1_deRham,,, SM1 Functions |
* sm1_deRham:: |
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@end menu |
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@node sm1_deRham,,, SM1 $BH!?t(B |
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@subsection @code{sm1_deRham} |
@subsection @code{sm1_deRham} |
@findex sm1_deRham |
@findex sm1_deRham |
@table @t |
@table @t |
Line 1238 def sm1_reduction_noH_d(F,G) { |
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Line 1230 def sm1_reduction_noH_d(F,G) { |
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/*&eg-texi |
/*&eg-texi |
@c sort-sm1_hilbert |
@c sort-sm1_hilbert |
@menu |
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* sm1_hilbert:: |
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* hilbert_polynomial:: |
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@end menu |
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@node sm1_hilbert,,, SM1 Functions |
@node sm1_hilbert,,, SM1 Functions |
@subsection @code{sm1_hilbert} |
@subsection @code{sm1_hilbert} |
@findex sm1_hilbert |
@findex sm1_hilbert |
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*/ |
*/ |
/*&jp-texi |
/*&jp-texi |
@c sort-sm1_hilbert |
@c sort-sm1_hilbert |
@menu |
@node sm1_hilbert,,, SM1 Functions |
* sm1_hilbert:: |
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* hilbert_polynomial:: |
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@end menu |
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@node sm1_hilbert,,, SM1 $BH!?t(B |
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@subsection @code{sm1_hilbert} |
@subsection @code{sm1_hilbert} |
@findex sm1_hilbert |
@findex sm1_hilbert |
@findex hilbert_polynomial |
@findex hilbert_polynomial |
Line 1384 def sm1_hilbert(A) { |
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Line 1368 def sm1_hilbert(A) { |
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/*&eg-texi |
/*&eg-texi |
@c sort-sm1_genericAnn |
@c sort-sm1_genericAnn |
@menu |
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* sm1_genericAnn:: |
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@end menu |
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@node sm1_genericAnn,,, SM1 Functions |
@node sm1_genericAnn,,, SM1 Functions |
@subsection @code{sm1_genericAnn} |
@subsection @code{sm1_genericAnn} |
@findex sm1_genericAnn |
@findex sm1_genericAnn |
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*/ |
*/ |
/*&jp-texi |
/*&jp-texi |
@c sort-sm1_genericAnn |
@c sort-sm1_genericAnn |
@menu |
@node sm1_genericAnn,,, SM1 Functions |
* sm1_genericAnn:: |
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@end menu |
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@node sm1_genericAnn,,, SM1 $BH!?t(B |
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@subsection @code{sm1_genericAnn} |
@subsection @code{sm1_genericAnn} |
@findex sm1_genericAnn |
@findex sm1_genericAnn |
@table @t |
@table @t |
Line 1486 def sm1_tensor0(F) { |
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Line 1464 def sm1_tensor0(F) { |
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/*&eg-texi |
/*&eg-texi |
@c sort-sm1_wTensor0 |
@c sort-sm1_wTensor0 |
@menu |
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* sm1_wTensor0:: |
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@end menu |
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@node sm1_wTensor0,,, SM1 Functions |
@node sm1_wTensor0,,, SM1 Functions |
@subsection @code{sm1_wTensor0} |
@subsection @code{sm1_wTensor0} |
@findex sm1_wTensor0 |
@findex sm1_wTensor0 |
Line 1530 the inputs @var{f} and @var{g} are left ideals of D. |
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Line 1505 the inputs @var{f} and @var{g} are left ideals of D. |
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/*&jp-texi |
/*&jp-texi |
@c sort-sm1_wTensor0 |
@c sort-sm1_wTensor0 |
@menu |
@node sm1_wTensor0,,, SM1 Functions |
* sm1_wTensor0:: |
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@end menu |
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@node sm1_wTensor0,,, SM1 $BH!?t(B |
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@subsection @code{sm1_wTensor0} |
@subsection @code{sm1_wTensor0} |
@findex sm1_wTensor0 |
@findex sm1_wTensor0 |
@table @t |
@table @t |
Line 1592 def sm1_wTensor0(F) { |
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Line 1564 def sm1_wTensor0(F) { |
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/*&eg-texi |
/*&eg-texi |
@c sort-sm1_reduction |
@c sort-sm1_reduction |
@menu |
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* sm1_reduction:: |
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@end menu |
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@node sm1_reduction,,, SM1 Functions |
@node sm1_reduction,,, SM1 Functions |
@subsection @code{sm1_reduction} |
@subsection @code{sm1_reduction} |
@findex sm1_reduction |
@findex sm1_reduction |
Line 1632 are for distributed polynomials. |
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Line 1601 are for distributed polynomials. |
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@end itemize |
@end itemize |
*/ |
*/ |
/*&jp-texi |
/*&jp-texi |
@menu |
@node sm1_reduction,,, SM1 Functions |
* sm1_reduction:: |
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@end menu |
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@node sm1_reduction,,, SM1 $BH!?t(B |
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@subsection @code{sm1_reduction} |
@subsection @code{sm1_reduction} |
@findex sm1_reduction |
@findex sm1_reduction |
@table @t |
@table @t |
Line 1729 def sm1_reduction_noH(A) { |
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Line 1695 def sm1_reduction_noH(A) { |
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} |
} |
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/*&eg-texi |
/*&eg-texi |
@menu |
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* sm1_xml_tree_to_prefix_string:: |
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@end menu |
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@node sm1_xml_tree_to_prefix_string,,, SM1 Functions |
@node sm1_xml_tree_to_prefix_string,,, SM1 Functions |
@subsection @code{sm1_xml_tree_to_prefix_string} |
@subsection @code{sm1_xml_tree_to_prefix_string} |
@findex sm1_xml_tree_to_prefix_string |
@findex sm1_xml_tree_to_prefix_string |
Line 1760 command search path.) |
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Line 1723 command search path.) |
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@end itemize |
@end itemize |
*/ |
*/ |
/*&jp-texi |
/*&jp-texi |
@menu |
@node sm1_xml_tree_to_prefix_string,,, SM1 Functions |
* sm1_xml_tree_to_prefix_string:: |
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@end menu |
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@node sm1_xml_tree_to_prefix_string,,, SM1 $BH!?t(B |
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@subsection @code{sm1_xml_tree_to_prefix_string} |
@subsection @code{sm1_xml_tree_to_prefix_string} |
@findex sm1_xml_tree_to_prefix_string |
@findex sm1_xml_tree_to_prefix_string |
@table @t |
@table @t |
Line 1886 def sm1_res_div(A) { |
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Line 1846 def sm1_res_div(A) { |
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/*&eg-texi |
/*&eg-texi |
@c sort-sm1_syz |
@c sort-sm1_syz |
@menu |
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* sm1_syz:: |
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@end menu |
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@node sm1_syz,,, SM1 Functions |
@node sm1_syz,,, SM1 Functions |
@node sm1_syz_d,,, SM1 Functions |
@node sm1_syz_d,,, SM1 Functions |
@subsection @code{sm1_syz} |
@subsection @code{sm1_syz} |
Line 1933 In summary, @var{g} = @var{m} @var{f} and |
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Line 1890 In summary, @var{g} = @var{m} @var{f} and |
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*/ |
*/ |
/*&jp-texi |
/*&jp-texi |
@c sort-sm1_syz |
@c sort-sm1_syz |
@menu |
@node sm1_syz,,, SM1 Functions |
* sm1_syz:: |
@node sm1_syz_d,,, SM1 Functions |
@end menu |
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@node sm1_syz,,, SM1 $BH!?t(B |
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@node sm1_syz_d,,, SM1 $BH!?t(B |
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@subsection @code{sm1_syz} |
@subsection @code{sm1_syz} |
@findex sm1_syz |
@findex sm1_syz |
@findex sm1_syz_d |
@findex sm1_syz_d |
Line 2032 def sm1_mul(A,B,V) { |
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Line 1986 def sm1_mul(A,B,V) { |
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} |
} |
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/*&eg-texi |
/*&eg-texi |
@menu |
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* sm1_mul:: |
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@end menu |
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@node sm1_mul,,, SM1 Functions |
@node sm1_mul,,, SM1 Functions |
@subsection @code{sm1_mul} |
@subsection @code{sm1_mul} |
@findex sm1_mul |
@findex sm1_mul |
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*/ |
*/ |
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/*&jp-texi |
/*&jp-texi |
@menu |
@node sm1_mul,,, SM1 Functions |
* sm1_mul:: |
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@end menu |
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@node sm1_mul,,, SM1 $BH!?t(B |
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@subsection @code{sm1_mul} |
@subsection @code{sm1_mul} |
@findex sm1_mul |
@findex sm1_mul |
@table @t |
@table @t |
Line 2228 def sm1_distraction(A) { |
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Line 2176 def sm1_distraction(A) { |
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} |
} |
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/*&eg-texi |
/*&eg-texi |
@menu |
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* sm1_distraction:: |
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@end menu |
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@node sm1_distraction,,, SM1 Functions |
@node sm1_distraction,,, SM1 Functions |
@subsection @code{sm1_distraction} |
@subsection @code{sm1_distraction} |
@findex sm1_distraction |
@findex sm1_distraction |
Line 2262 See Saito, Sturmfels, Takayama : Grobner Deformations |
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Line 2207 See Saito, Sturmfels, Takayama : Grobner Deformations |
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*/ |
*/ |
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/*&jp-texi |
/*&jp-texi |
@menu |
@node sm1_distraction,,, SM1 Functions |
* sm1_distraction:: |
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@end menu |
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@node sm1_distraction,,, SM1 $BH!?t(B |
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@subsection @code{sm1_distraction} |
@subsection @code{sm1_distraction} |
@findex sm1_distraction |
@findex sm1_distraction |
Line 2385 def sm1_gkz(S) { |
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Line 2327 def sm1_gkz(S) { |
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/*&eg-texi |
/*&eg-texi |
@menu |
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* sm1_gkz:: |
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@end menu |
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@node sm1_gkz,,, SM1 Functions |
@node sm1_gkz,,, SM1 Functions |
@subsection @code{sm1_gkz} |
@subsection @code{sm1_gkz} |
@findex sm1_gkz |
@findex sm1_gkz |
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*/ |
*/ |
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/*&jp-texi |
/*&jp-texi |
@menu |
@node sm1_gkz,,, SM1 Functions |
* sm1_gkz:: |
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@end menu |
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@node sm1_gkz,,, SM1 $BH!?t(B |
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@subsection @code{sm1_gkz} |
@subsection @code{sm1_gkz} |
@findex sm1_gkz |
@findex sm1_gkz |
@table @t |
@table @t |
Line 2498 def sm1aux_x(I) { |
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Line 2434 def sm1aux_x(I) { |
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/*&eg-texi |
/*&eg-texi |
@menu |
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* sm1_appell1:: |
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@end menu |
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@node sm1_appell1,,, SM1 Functions |
@node sm1_appell1,,, SM1 Functions |
@subsection @code{sm1_appell1} |
@subsection @code{sm1_appell1} |
@findex sm1_appell1 |
@findex sm1_appell1 |
Line 2528 The parameters a, c, b1, ..., bn may be rational numbe |
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Line 2461 The parameters a, c, b1, ..., bn may be rational numbe |
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*/ |
*/ |
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/*&jp-texi |
/*&jp-texi |
@menu |
@node sm1_appell1,,, SM1 Functions |
* sm1_appell1:: |
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@end menu |
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@node sm1_appell1,,, SM1 $BH!?t(B |
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@subsection @code{sm1_appell1} |
@subsection @code{sm1_appell1} |
@findex sm1_appell1 |
@findex sm1_appell1 |
@table @t |
@table @t |
Line 2613 def sm1_appell4(S) { |
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Line 2543 def sm1_appell4(S) { |
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} |
} |
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/*&eg-texi |
/*&eg-texi |
@menu |
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* sm1_appell4:: |
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@end menu |
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@node sm1_appell4,,, SM1 Functions |
@node sm1_appell4,,, SM1 Functions |
@subsection @code{sm1_appell4} |
@subsection @code{sm1_appell4} |
@findex sm1_appell4 |
@findex sm1_appell4 |
Line 2643 The parameters a, b, c1, ..., cn may be rational numbe |
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Line 2570 The parameters a, b, c1, ..., cn may be rational numbe |
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*/ |
*/ |
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/*&jp-texi |
/*&jp-texi |
@menu |
@node sm1_appell4,,, SM1 Functions |
* sm1_appell4:: |
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@end menu |
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@node sm1_appell4,,, SM1 $BH!?t(B |
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@subsection @code{sm1_appell4} |
@subsection @code{sm1_appell4} |
@findex sm1_appell4 |
@findex sm1_appell4 |
@table @t |
@table @t |
Line 2710 def sm1_rrank(A) { |
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Line 2634 def sm1_rrank(A) { |
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/*&eg-texi |
/*&eg-texi |
@menu |
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* sm1_rank:: |
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@end menu |
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@node sm1_rank,,, SM1 Functions |
@node sm1_rank,,, SM1 Functions |
@subsection @code{sm1_rank} |
@subsection @code{sm1_rank} |
@findex sm1_rank |
@findex sm1_rank |
Line 2742 holonomic. It is generally faster than @code{sm1_rank} |
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Line 2663 holonomic. It is generally faster than @code{sm1_rank} |
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*/ |
*/ |
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/*&jp-texi |
/*&jp-texi |
@menu |
@node sm1_rank,,, SM1 Functions |
* sm1_rank:: |
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@end menu |
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@node sm1_rank,,, SM1 $BH!?t(B |
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@subsection @code{sm1_rank} |
@subsection @code{sm1_rank} |
@findex sm1_rank |
@findex sm1_rank |
@table @t |
@table @t |
Line 2803 def sm1_auto_reduce(T) { |
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Line 2721 def sm1_auto_reduce(T) { |
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} |
} |
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/*&eg-texi |
/*&eg-texi |
@menu |
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* sm1_auto_reduce:: |
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@end menu |
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@node sm1_auto_reduce,,, SM1 Functions |
@node sm1_auto_reduce,,, SM1 Functions |
@subsection @code{sm1_auto_reduce} |
@subsection @code{sm1_auto_reduce} |
@findex sm1_auto_reduce |
@findex sm1_auto_reduce |
Line 2832 Grobner bases. This is the default. |
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Line 2747 Grobner bases. This is the default. |
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*/ |
*/ |
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/*&jp-texi |
/*&jp-texi |
@menu |
@node sm1_auto_reduce,,, SM1 Functions |
* sm1_auto_reduce:: |
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@end menu |
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@node sm1_auto_reduce,,, SM1 $BH!?t(B |
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@subsection @code{sm1_auto_reduce} |
@subsection @code{sm1_auto_reduce} |
@findex sm1_auto_reduce |
@findex sm1_auto_reduce |
@table @t |
@table @t |
Line 2873 def sm1_slope(II,V,FF,VF) { |
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Line 2785 def sm1_slope(II,V,FF,VF) { |
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/*&eg-texi |
/*&eg-texi |
@menu |
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* sm1_slope:: |
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@end menu |
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@node sm1_slope,,, SM1 Functions |
@node sm1_slope,,, SM1 Functions |
@subsection @code{sm1_slope} |
@subsection @code{sm1_slope} |
@findex sm1_slope |
@findex sm1_slope |
Line 2921 of the slopes are returned. |
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Line 2830 of the slopes are returned. |
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*/ |
*/ |
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/*&jp-texi |
/*&jp-texi |
@menu |
@node sm1_slope,,, SM1 Functions |
* sm1_slope:: |
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@end menu |
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@node sm1_slope,,, SM1 $BH!?t(B |
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@subsection @code{sm1_slope} |
@subsection @code{sm1_slope} |
@findex sm1_slope |
@findex sm1_slope |
@table @t |
@table @t |