| version 1.44, 2011/12/09 02:18:48 |
version 1.49, 2014/12/14 01:06:44 |
|
|
| %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.43 2011/12/08 06:40:52 nisiyama Exp $ |
%% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.48 2014/05/29 13:18:18 ohara Exp $ |
| \input texinfo |
\input texinfo |
| @iftex |
@iftex |
| @catcode`@#=6 |
@catcode`@#=6 |
|
|
| @title $B<B83E*;EMM$N4X?t(B |
@title $B<B83E*;EMM$N4X?t(B |
| @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B |
@subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B |
| @subtitle 1.0 $BHG(B |
@subtitle 1.0 $BHG(B |
| @subtitle 2010 $BG/(B 9 $B7n(B |
@subtitle 2014 $BG/(B 12 $B7n(B |
| |
|
| @author by Risa/Asir committers |
@author by Risa/Asir committers |
| @page |
@page |
| Line 138 ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe |
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| Line 138 ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe |
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| * tk_pfn.graph:: |
* tk_pfn.graph:: |
| * tk_rk.runge_kutta_4:: |
* tk_rk.runge_kutta_4:: |
| * tk_rk.runge_kutta_4_linear:: |
* tk_rk.runge_kutta_4_linear:: |
| |
* tk_rk.zonal:: |
| |
* getpid:: |
| @end menu |
@end menu |
| |
|
| @node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B |
@node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B |
| Line 1838 builtin/dp.c 1.49 |
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| Line 1840 builtin/dp.c 1.49 |
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| @table @var |
@table @var |
| @item gentrace |
@item gentrace |
| @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B%0%l%V%J!<4pDl$N7W;;7P2a>pJs$r=PNO$9$k(B. |
@var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B%0%l%V%J!<4pDl$N7W;;7P2a>pJs$r=PNO$9$k(B. |
| @item gentsyz |
@item gensyz |
| @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B7W;;$5$l$?%0%l%V%J!<4pDl$KBP$9$k(B syzygy $B$N@8@.7O$r=PNO$9$k(B. |
@var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B7W;;$5$l$?%0%l%V%J!<4pDl$KBP$9$k(B syzygy $B$N@8@.7O$r=PNO$9$k(B. |
| @item nora |
@item nora |
| @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B:G=*%9%F%C%W$GAj8_4JLs$r9T$o$J$$(B. |
@var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B:G=*%9%F%C%W$GAj8_4JLs$r9T$o$J$$(B. |
|
|
| @comment **************************************************************** |
@comment **************************************************************** |
| |
|
| @itemize @bullet |
@itemize @bullet |
| @item asirgui (Windows $BHG(B) $B$r5/F0$9$k$H(B asirgui.exe $B$N$"$k%U%)%k%@$*$h$S(B $B4D6-JQ?t(B TEMP $B$,Dj5A$5$l$F$$$l$P$3$N%U%!%$%k$,:n@.$5$l$k(B. |
@item asirgui (Windows $BHG(B) $B$r5/F0$9$k$H(B $B4D6-JQ?t(B TEMP $B$G;XDj$5$l$?%U%)%k%@$K$3$N%U%!%$%k$,:n@.$5$l$k(B. |
| @item $BCf?H$O#1#0?J@0?t$G(B, asirgui $B$N(B main window $B$N%O%s%I%k$G$"$k(B. $B$3$N%O%s%I%k$"$F$K(B PostMessage $B$r$9$l$P(B, asuirgui $B$K%-!<%\!<%I$+$iF~NO$7$?$N$HF1MM$J8z2L$,F@$i$l$k(B. |
@item $BCf?H$O#1#0?J@0?t$G(B, asirgui $B$N(B main window $B$N%O%s%I%k$G$"$k(B. $B$3$N%O%s%I%k$"$F$K(B PostMessage $B$r$9$l$P(B, asuirgui $B$K%-!<%\!<%I$+$iF~NO$7$?$N$HF1MM$J8z2L$,F@$i$l$k(B. |
| @item text editor $B$G:n@.(B, $BJ]B8$7$?%U%!%$%k$r(B text editor $BB&$+$i(B asirgui $B$KFI$_9~$^$;$?$j$9$k$?$a$KMxMQ2DG=(B. |
@item text editor $B$G:n@.(B, $BJ]B8$7$?%U%!%$%k$r(B text editor $BB&$+$i(B asirgui $B$KFI$_9~$^$;$?$j$9$k$?$a$KMxMQ2DG=(B. |
| @item http://www.math.kobe-u.ac.jp/Asir/Add-ons $B$K$F(B winfep.exe $B$rG[I[$7$F$$$k(B. winfep $B$G$O$"$i$+$8$a%U%!%$%k$KF~NO%9%/%j%W%H$r=q$$$F$*$$$F(B, asirgui $B$G0l9T$E$D<B9T$5$;$k$3$H$,$G$-$k(B. winfep $B$O%W%l%<%s%F!<%7%g%sMQ$N%=%U%H%&%(%"$G$"$k(B. $B$3$l$O(B asirgui.hnd $B$rMxMQ$7$F$$$k(B. |
@item http://www.math.kobe-u.ac.jp/Asir/Add-ons $B$K$F(B winfep.exe $B$rG[I[$7$F$$$k(B. winfep $B$G$O$"$i$+$8$a%U%!%$%k$KF~NO%9%/%j%W%H$r=q$$$F$*$$$F(B, asirgui $B$G0l9T$E$D<B9T$5$;$k$3$H$,$G$-$k(B. winfep $B$O%W%l%<%s%F!<%7%g%sMQ$N%=%U%H%&%(%"$G$"$k(B. $B$3$l$O(B asirgui.hnd $B$rMxMQ$7$F$$$k(B. |
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| @code{pwd} $B$O%+%l%s%H%G%#%l%/%H%j$rJ8;zNs$GJV$9(B. |
@code{pwd} $B$O%+%l%s%H%G%#%l%/%H%j$rJ8;zNs$GJV$9(B. |
| @item |
@item |
| @code{chdir} $B$O%+%l%s%H%G%#%l%/%H%j$r(B @var{directory} $B$KJQ99$9$k(B. $B@.8y$9$l$P(B 0 $B$r<:GT$9$l$P(B -1 $B$rJV$9(B. |
@code{chdir} $B$O%+%l%s%H%G%#%l%/%H%j$r(B @var{directory} $B$KJQ99$9$k(B. $B@.8y$9$l$P(B 0 $B$r<:GT$9$l$P(B -1 $B$rJV$9(B. |
| @item |
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| $B$3$l$i$N4X?t$O(B UNIX $BHG$K$N$_<BAu$5$l$F$$$k(B. |
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| @end itemize |
@end itemize |
| |
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| @example |
@example |
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| @end itemize |
@end itemize |
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@node getpid,,, $B%7%9%F%`(B |
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@subsection @code{getpid} |
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@findex getpid |
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
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@table @t |
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@item getpid() |
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@end table |
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@table @var |
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@item return |
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$B@0?t(B |
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@end table |
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|
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@itemize @bullet |
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@item asir $B$N%W%m%;%9HV9f$rLa$9(B. |
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@item $B%W%m%;%9HV9f$O(B asir, ox_asir $BEy$GFHN)$7$?%W%m%;%9$KBP$7$F%7%9%F%`Fb$G0l0U$G$"$k(B. |
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@end itemize |
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@example |
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[219] getpid(); |
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3214 |
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@end example |
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@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
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@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
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@noindent |
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ChangeLog |
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@itemize @bullet |
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@item $B$3$N4X?t$O(B ox_work_dir() $B4X?t$,0l0U$J:n6H%U%!%$%kL>$rF@$k$?$a$K;H$o$l$F$$$k(B. |
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src/asir-contrib/packages/src/misc/rr 1.3, |
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asir2000/builtin/file.c 1.28, rat.c 1.5, |
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asir2000/parse/puref.c 1.9 $B$r;2>H(B (2013/02/15, 18). |
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@end itemize |
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@node loadpath,,, $B%7%9%F%`(B |
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@subsection @code{loadpath} |
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@findex loadpath |
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
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@table @t |
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@item ctrl(``loadpath''[,list]) |
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@end table |
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@table @var |
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@item list |
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$BJ8;zNs(B($B%Q%9(B)$B$N%j%9%H(B |
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@item return |
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$BJ8;zNs(B($B%Q%9(B)$B$N%j%9%H(B, $B$^$?$O?t(B(list$B$,M?$($i$l$?$H$-(B) |
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@end table |
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|
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@itemize @bullet |
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@item asir $B$NAH$_9~$_4X?t(B ctrl $B$N%9%$%C%A$N$R$H$D$G$"$k(B. |
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@item asir $B$N%m!<%I%Q%9$N=PNO$^$?$O@_Dj$r9T$&(B. |
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@end itemize |
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|
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@example |
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[0] L=ctrl("loadpath"); |
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[/home/you/OpenXM/lib/asir-contrib,/home/you/OpenXM/lib/asir,.] |
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[1] ctrl("loadpath", cons(getenv("HOME")+"/lib",L)); |
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0 |
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@end example |
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@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
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@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
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@noindent |
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ChangeLog |
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@itemize @bullet |
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@item $B$3$N4X?t$O(B 2014-5-12 $B$K%3%_%C%H$5$l$?(B. |
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$BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/ctrl.c (1.41) $B$G$"$k(B. |
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@end itemize |
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@node sysinfo,,, $B%7%9%F%`(B |
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@subsection @code{sysinfo} |
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@findex sysinfo |
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
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@table @t |
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@item sysinfo() |
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@end table |
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|
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@table @var |
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@item return |
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$BJ8;zNs$N%j%9%H(B |
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@end table |
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|
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@itemize @bullet |
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@item asir $B$NF0:n$7$F$$$k%*%Z%l!<%F%#%s%0%7%9%F%`$N>pJs$rJV$9(B. |
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@item $B%j%9%H$N3F@.J,$O(B, OS$B%?%$%W(B, $B%+!<%M%kL>(B, OS$BL>(B, CPU$B%?%$%W(B, OS$B%P!<%8%g%s(B, $B40A4$J>pJs(B, $B%m%1!<%k$G$"$k(B. |
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@item OS$B%?%$%W$O(B unix, macosx, windows $B$N$$$:$l$+$G$"$k(B. |
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@item unix $B$*$h$S(B macosx $B$K$*$$$F$O(B, $B%7%9%F%`%3!<%k$*$h$S(B uname $B%3%^%s%I$K$h$j>pJs$r<hF@$7$F$$$k(B. |
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windows $B$G$O(B, GetVersionEx() $B$J$I$N(B Win32 API $B$,MQ$$$i$l$F$$$k(B. |
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@end itemize |
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|
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@example |
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[0] sysinfo(); |
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[windows,WindowsNT,Windows7,x86_64,6.1.7601,WindowsNT 6.1.7601 Windows7 Service Pack 1 x86_64,ja] |
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@end example |
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@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
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@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
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@noindent |
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ChangeLog |
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@itemize @bullet |
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@item $B$3$N4X?t$O(B 2014-5-14 $B$K%3%_%C%H$5$l$?(B. |
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$BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/ctrl.c (1.42) $B$G$"$k(B. |
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@end itemize |
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| @comment **************************************************************** |
@comment **************************************************************** |
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| Line 3510 Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification |
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| Line 3627 Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification |
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| OpenXM/src/asir-contrib/packages/src/fj_simplify.rr |
OpenXM/src/asir-contrib/packages/src/fj_simplify.rr |
| @end itemize |
@end itemize |
| |
|
| @comment ----------- $B0J2<$O8+K\(B. $B>C$9$J(B. |
@node tk_jack.zonal,,, $B<B83E*;EMM$N4X?t(B |
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@subsection @code{tk_jack.zonal} |
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@findex tk_jack.zonal |
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
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@table @t |
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@item tk_jack.zonel(@var{p},@var{n}) |
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:: $BJ,3d(B p $B$KBP$9$k(B n $BJQ?t$N(B zonal $BB?9`<0$r=PNO$9$k(B. |
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@end table |
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|
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@table @var |
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@item return |
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$BB?9`<0(B. x_1, x_2, ... $B$,JQ?t(B. |
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@item p |
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$B?t$N%j%9%H(B. p=[p0,p1,...] $B$N;~(B p0>=p1>=...>0. |
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@item n |
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$B<+A3?t(B |
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@end table |
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|
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@itemize @bullet |
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@item |
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$B$3$N4X?t$O(B |
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Koev-Edelman $B$K$h$k(B Pieri $B7?8x<0$rMQ$$$?(B Jack symmetric function $B$N7W;;(B |
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$B%"%k%4%j%:%`$N<BAu$G$"$k(B. |
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$B>\$7$/$O(B Wikipedia $B1Q8lHG(B Jack symmetric function $B$N9`$r;2>H(B. |
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@item zonal(P,N) = jack(P,N,2) $B$G$"$k(B. |
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@end itemize |
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|
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@example |
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load("tk_jack.rr"); |
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[1434] tk_jack.zonal([3,2,1],3); |
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(112*x_3*x_2^2+112*x_3^2*x_2)*x_1^3+(112*x_3*x_2^3+168*x_3^2*x_2^2+112*x_3^3*x_2)*x_1^2+(112*x_3^2*x_2^3+112*x_3^3*x_2^2)*x_1 |
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[1435] tk_jack.zonal([1,1],3); |
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(2*x_2+2*x_3)*x_1+2*x_3*x_2 |
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[1436] tk_jack.jack([1,1],3,2); |
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(2*x_2+2*x_3)*x_1+2*x_3*x_2 |
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@end example |
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|
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@table @t |
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@item $B;2>H(B |
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@end table |
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|
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@noindent |
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ChangeLog |
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@itemize @bullet |
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@item |
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$B$3$N4X?t$O(B wishart $BJ,I[$K=>$&BP>N9TNs$NBh0l8GM-CM$,(B x $B0J2<$G$"$k3NN($N7W;;$r(B |
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holonomic gradient method $B$G$d$k$?$a$K$=$N=i4|CM$r7W;;$9$k(B C $B$N%W%m%0%i%`$,(B |
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$BI,MW$G$"$C$?(B. $B$=$l$r(B debug $B$9$k$?$a$K$H$j$"$($:=q$$$?$b$N(B. |
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@item $B:GE,2=$r$^$@$^$@$5$\$C$F$k(B. |
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@end itemize |
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|
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@node ot_hgm_ahg.cbase,,, $B<B83E*;EMM$N4X?t(B |
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@subsection @code{ot_hgm_ahg.cbase} |
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@findex ot_hgm_ahg.cbase |
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|
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@table @t |
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@item cbase(@var{A}) |
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:: @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O$N(B Pfaffian $B$N4pDl$r5a$a$k(B. |
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@end table |
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|
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@table @var |
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@item return |
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Pfaffian$B$N4pDl(B($BHyJ,:nMQAG$N%b%N%_%"%k(B)$B$N%j%9%H(B |
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@item A |
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$B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B |
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@end table |
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|
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@itemize @bullet |
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@item A-$BD64v2?%$%G%"%k$N(B Q(x)[dx] $B$K$*$1$kI8=`4pDl$O(B Pfaffian $B$N4pDl$H$J$k$,(B, $B5U$O$+$J$i$:$7$b??$G$O$J$$(B. $B8D?t$O$b$A$m$sF1$8$G$"$k(B. |
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@item |
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$B%"%k%4%j%:%`$O(B |
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T.Hibi, K.Nishiyama, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations I, Bases of Twisted Cohomology Groups, arxiv:1212.6103 |
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$B$K$h$k(B. |
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$B$5$i$K%Q%i%a!<%?(B b $B$r?t$KFC<l2=$9$k3NN(;;K!$rMQ$$$F$$$k(B. |
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@end itemize |
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|
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@example |
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[2190] import("ot_hgm_ahg.rr"); |
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1 |
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[2191] ot_hgm_ahg.cbase([[1,1,1,1],[0,1,2,3]]); |
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We use a probabilistic algorithm to determine the base.[dx2^2,dx3*dx2,dx3^2] |
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|
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[dx3,dx4,1] |
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@end example |
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|
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@table @t |
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@item $B;2>H(B |
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@ref{get_mat2} |
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@end table |
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|
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@noindent |
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ChangeLog |
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@itemize @bullet |
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@item |
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$B$3$N4X?t$O(B 2012 $B$+$i(B 2014-$B=U5Y$_$K$+$1$F$+$+$l$?(B. |
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@item version 1.1 $B0JA0$NHG$O(B h-mle/A-hg/Prog ($B8&5f%0%k!<%W$N6&M-%U%)%k%@(B) $B$K$"$j(B. |
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@end itemize |
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|
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@node ot_hgm_ahg.get_mat2,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{ot_hgm_ahg.get_mat2} |
| |
@findex ot_hgm_ahg.get_mat2 |
| |
@comment get_mat2 |
| |
@table @t |
| |
@item get_mat2(@var{A},@var{W},@var{Std},@var{Mset}) |
| |
:: @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O(B H_A $B$N(B Pfaffian $B$N4pDl$r5a$a$k$?$a$N(B Sylvester $BK!(B $B$rE,MQ$9$k$?$a$N9TNs$r@8@.$9$k(B. |
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@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B |
| |
@item A |
| |
$B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B |
| |
@item W |
| |
$B%j%9%H(B. toric ideal $B$N%0%l%V%J!<4pDl$r7W;;$9$k$?$a$N(B weight vector. |
| |
$BB?J,$J$s$G$b$$$$$O$:(B. |
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@item Std |
| |
$B%j%9%H(B. Pfaffian $B$N4pDl(B. cbase(A) $B$N=PNO$rMQ$$$k(B. |
| |
@item Mset |
| |
Sylvester $B7?9TNs$r:n$k$?$a$NHyJ,:nMQAG$N%b%N%_%"%k$N%j%9%H(B. |
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@end table |
| |
|
| |
@itemize @bullet |
| |
@item $B=PNO$r(B @var{P} $B$KBeF~$9$k$H(B, |
| |
@var{P}[0]*@var{P}[2] - @var{P}[1]*@var{Std} $B$,(B modulo H_A $B$G(B 0 $B$H$J$k(B. |
| |
@var{P}[0] $B$H(B @var{P}[2] $B$r7k9g$7$?9TNs$,(B, sylvester $B9TNs(B ($BO@J8$N5-9f$G$N(B F'). |
| |
@var{P}[2], @var{Std} $B$,(B index $B%b%N%_%"%k$G$"$k(B. |
| |
$BO@J8$G$N5-9f$G$O(B @var{P}[2] $B$O(B M_t, @var{Std} $B$O(B S. |
| |
@item |
| |
$B%"%k%4%j%:%`$O(B |
| |
K.Ohara, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations II, Holonomic Gradient Method |
| |
$B$K$h$k(B. $BO@J8$N9TNs(B F'. |
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@end itemize |
| |
|
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@example |
| |
[2190] import("ot_hgm_ahg.rr"); |
| |
1 |
| |
[2191] A=[[1,1,1,1],[0,1,2,3]]$ |
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Std=ot_hgm_ahg.cbase(A)$ |
| |
W=[[dx1,1,dx2,1,dx3,1,dx4,1]]$ |
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Mset=[1,dx1,dx2,dx3,dx4]$ |
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[2192] ot_hgm_ahg.get_mat2(A,W,Std,Mset); |
| |
|
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$B>JN,(B |
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@end example |
| |
|
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@table @t |
| |
@item $B;2>H(B |
| |
@ref{cbase} |
| |
@end table |
| |
|
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item |
| |
$B$3$N4X?t$O(B 2012 $B$+$i(B 2014-$B=U5Y$_$K$+$1$F$+$+$l$?(B. |
| |
@item version 1.1 $B0JA0$NHG$O(B h-mle/A-hg/Prog ($B8&5f%0%k!<%W$N6&M-%U%)%k%@(B) $B$K$"$j(B. |
| |
@item |
| |
$B%=!<%9(B ot_hgm_ahg.rr $B$N(B test3(), test3b(), test4(), test5(), test6(), test6c() $BEy$KMxMQNc$,$"$k(B. |
| |
@item |
| |
test3b() $B$G(B @var{Mset} $B$r0l<!<0A4It$K$7$?$b$N$,(B, $BO@J8$NNc(B. |
| |
@end itemize |
| |
|
| |
@comment ------------------- |
| |
@comment hgm_ahg_contiguity |
| |
@comment ------------------- |
| |
@node ot_hgm_ahg.hgm_ahg_contiguity,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{ot_hgm_ahg.hgm_ahg_contiguity} |
| |
@findex ot_hgm_ahg.hgm_ahg_contiguity |
| |
|
| |
@table @t |
| |
@item hgm_ahg_contiguity(@var{A},@var{StdMon},@var{Line},@var{X0},@var{InitVal},@var{Start},@var{End}) |
| |
:: @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O$N(Bcontiguity relation |
| |
$B$r(B Sylvester matrix $B$rMQ$$$F7W;;$7(B, $B$=$l$rMQ$$$FD64v2?4X?t$NCM$r5a$a$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B4pDl$rD64v2?4X?t$K:nMQ$5$;$?%Y%/%H%k$NCM(B F(End;X0) ?? |
| |
@item A |
| |
$B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B. |
| |
@item StdMon |
| |
$B%j%9%H(B. Pfaffian $B$N4pDl$rM?$($kHyJ,:nMQAG$N%b%N%_%"%k$N%j%9%H(B. |
| |
@item Line |
| |
$B%j%9%H(B [ContiDir,Beta,Z]. |
| |
@item X0 |
| |
$B%j%9%H(B. x $BJQ?t$NCM(B. |
| |
@item InitVal |
| |
$B%j%9%H(B. $B4pDl$rD64v2?4X?t$K:nMQ$5$;$?%Y%/%H%k$N=i4|CM(B F(Start;X0) |
| |
@item Start |
| |
$B%j%9%H(B. Z $B%Q%i%a!<%?$N=i4|CM(B?? |
| |
@item End |
| |
$B%j%9%H(B. Z $B%Q%i%a!<%?$N=*C<CM(B?? |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item Todo, $B$3$N4X?t$N%$%s%?%U%'!<%9$OJQ99$5$l$kM=Dj(B. |
| |
@item X0 $B$OM-M}?t$N%j%9%H(B. |
| |
@item ContiDir $B$O(B End-Start $B$HF1$8J}8~(B. |
| |
@item Beta. A$BD64v2?4X?t$N(B B $B%Q%i%a!<%?$N=i4|CM(B ?? |
| |
@item Z. ContiDir $B$G$N0l<!85(B contiguity $B$rI=8=$9$k$?$a$NITDj85$NL>A0(B. |
| |
@item $B%=!<%9Cf$NMxMQNc(B. test_fd_conti(), test_c111_conti() |
| |
@item |
| |
$B%"%k%4%j%:%`$*$h$SMxE@$O(B |
| |
K.Ohara, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations II, Holonomic Gradient Method |
| |
$B;2>H(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[2190] import("ot_hgm_ahg.rr"); |
| |
1 |
| |
[2191] ot_hgm_ahg.test_fd_conti(); |
| |
(Todo, $B0z?t$,$I$&$J$k$+$NNc$r2C$($k(B.) |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{get_mat2} |
| |
@ref{hgm_ahg_expected_value_contiguity} |
| |
@ref{hgm_ahg} |
| |
@end table |
| |
|
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item |
| |
$B$3$N4X?t$O(B 2014-07-11 $B$K:G=i$NHG$,(B 1.10$BHG(B ot_hgm_ahg.rr $B$K(B commit $B$5$l$?(B. |
| |
@item $B%$%s%?%U%'!<%9$,99?7$5$l$?HG$O(B, 1.??$BHG(B. |
| |
@end itemize |
| |
|
| |
@comment ------------------- |
| |
@comment tk_hgpoly.optip |
| |
@comment ------------------- |
| |
@node tk_hgpoly.optip,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{tk_hgpoly.optip} |
| |
@findex tk_hgpoly.optip |
| |
|
| |
@table @t |
| |
@item hgpoly.optip(@var{A},@var{B},@var{W}) |
| |
:: $B@0?t7W2hLdBj$r%0%l%V%J!<4pDl$rMQ$$$F2r$/(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B. |
| |
@item A |
| |
$BHsIi@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B |
| |
@item B |
| |
$BHsIi@0?t$r@.J,$H$9$k%Y%/%H%k$rI=$9%j%9%H(B |
| |
@item W |
| |
$BHsIi@0?t$r@.J,$H$9$k%Y%/%H%k$rI=$9%j%9%H(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item @var{A} U = @var{B} $B$rK~$?$9HsIi$N@0?t%Y%/%H%k(B U $B$NCf$G(B, |
| |
$BFb@Q(B @var{W} U $B$r:G>.2=$9$k(B U $B$rLa$9(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[0] import("tk_hgpoly.rr"); |
| |
[2191] tk_hgpoly.optip([[1,1,1,1],[0,1,2,3]],[20,40],[1,1,1,0]); |
| |
[6,1,0,13] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{feasible} |
| |
@end table |
| |
|
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item |
| |
$B$3$N4X?t$O(B 2014-12-12 $B$K(B commit $B$5$l$?(B. |
| |
$B85HG$O(B h-mle/A-hg/Prog |
| |
@end itemize |
| |
|
| |
@comment ------------------- |
| |
@comment tk_hgpoly.hgpoly |
| |
@comment ------------------- |
| |
@node tk_hgpoly.hgpoly,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{tk_hgpoly.hgpoly} |
| |
@findex tk_hgpoly.hgpoly |
| |
@table @t |
| |
@item hgpoly.hgpoly(@var{A},@var{B}) |
| |
:: @var{A}, @var{B} $B$GDj5A$5$l$kD64v2?B?9`<0$r7W;;$9$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B. |
| |
@item A |
| |
$BHsIi@0?t(B(todo, $B:FEY3NG'(B)$B$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B |
| |
@item B |
| |
$BHsIi@0?t$r@.J,$H$9$k%j%9%H(B. |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item $BLa$jCM$r(B F $B$H$9$k$H$-(B, F[0] $B$,D64v2?B?9`<0(B. $BJQ?t$O(B x_1, x_2, ... |
| |
F[1] $B$O(B F[0] $B$NJ,;6I=8=B?9`<0(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[0] import("tk_hgpoly.rr"); |
| |
[2191] tk_hgpoly.hgpoly([[1,1,1,1],[0,1,2,3]],[2,2]); |
| |
[x_3*x_1+1/2*x_2^2,(1/2)*<<0,2,0,0>>+(1)*<<1,0,1,0>>] |
| |
@end example |
| |
|
| |
|
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item |
| |
$B$3$N4X?t$O(B 2014-12-12 $B$K(B commit $B$5$l$?(B. |
| |
@end itemize |
| |
|
| |
@comment ------------------- |
| |
@comment tk_fd.abc2ahg |
| |
@comment ------------------- |
| |
@node tk_fd.abc2ahg,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{tk_fd.abc2ahg} |
| |
@findex tk_fd.abc2ahg |
| |
@table @t |
| |
@item tk_fd.abc2ahg(@var{A},@var{B},@var{C}) |
| |
:: F_D(@var{A}, @var{B},@var{C}) $B$r2r$K$b$D(B A-$BD64v2?J}Dx<07O$r5a$a$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B. |
| |
@item A |
| |
$B?t(B |
| |
@item B |
| |
$B?t$N%j%9%H(B |
| |
@item C |
| |
$B?t(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item $BLa$jCM%j%9%H$NBh#0@.J,$O(B A-$BD64v2?J}Dx<07O$rDj5A$9$k9TNs(B. |
| |
$BBh#1@.J,$O(BA-$BD64v2?J}Dx<07O$N%Q%i%a!<%?&B(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[2191] tk_fd.abc2ahg(-3,[-4,-5],3); |
| |
|
| |
[[[0,0,0,1,1,1],[1,0,0,1,0,0],[0,1,0,0,1,0],[0,0,1,0,0,1]],[11,5,4,5]] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{abc2marginal} |
| |
@ref{marginal2abc} |
| |
@end table |
| |
|
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item |
| |
$B$3$N4X?t$O(B 2014-12-13 $B$K(B tk_fd.rr $B$KDI2C$5$l$?(B. |
| |
@end itemize |
| |
|
| |
@comment ------------------- |
| |
@comment tk_fd.ahvec_abc |
| |
@comment ------------------- |
| |
@node tk_fd.ahvec_abc,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{tk_fd.ahvec_abc} |
| |
@findex tk_fd.ahvec_abc |
| |
@table @t |
| |
@item tk_fd.ahvec_abc(@var{A},@var{B},@var{C},@var{Y} | all=1) |
| |
:: abc2marginal(@var{A}, @var{B},@var{C}) $B$r<~JUOB$K$b$D(B (2,m+1) $BJ,3dI=A4BN$K$D$$$F$N@55,2=Dj?t(B Z, $B$*$h$S(B Z $B$NJQ?t(B Y[1][0], ..., Y[1][m] |
| |
(2$BHVL\$N9T(B)$B$K$D$$$F$NJPHyJ,$r7W;;$9$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B @var{Ans} |
| |
@item A |
| |
$B?t(B |
| |
@item B |
| |
$B?t$N%j%9%H(B. $BD9$5$O(B m. |
| |
@item C |
| |
$B?t(B |
| |
@item Y |
| |
(2,m+1) $BJQ?tCM$r$"$i$o$9%j%9%H$N%j%9%H(B. |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item |
| |
@var{A}, @var{B}, @var{C}, $B$K8=$l$k?t$O@0?t$rM?$($k(B. |
| |
@var{Y} $B$N@.J,$OM-M}?t$rM?$($k(B. |
| |
@item |
| |
@var{Ans}[2]*@var{Ans}[1] $B$,(B Z. |
| |
@var{Ans}[2]*@var{Ans}[0][I] $B$,(B Z $B$N(B Y[1][I] $B$K$D$$$F$NJPHyJ,(B. |
| |
@item |
| |
$BO@J8(B |
| |
1.Y.Goto, Contiguity relations of Lauricella's F_D revisited, arxiv:1412.3256 |
| |
$B$GF3=P$5$l$F$$$k(B |
| |
contiguity relation $B$rMQ$$$F7W;;$9$k(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[2449] marginal2abc([3,12],[6,3,3,3]); |
| |
[-3,[-3,-3,-3],4] |
| |
|
| |
[2450] tk_fd.ahvec_abc(-3,[-3,-3,-3],4,[[1,1/2,1/3,1/4],[1,1,1,1]]); |
| |
[[ 24041/1152 143551/11520 16973/1280 78827/5760 ],1/7776] |
| |
|
| |
[2451] expectation_abc(-3,[-3,-3,-3],4,[[1,1/2,1/3,1/4],[1,1,1,1]]); |
| |
[721230/173593,430653/173593,458271/173593,67566/24799] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{expectation_abc} |
| |
@end table |
| |
|
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item |
| |
$B$3$N4X?t$O(B 2014-$B2F$K3+H/$5$l$?(B. |
| |
@end itemize |
| |
|
| |
|
| |
@comment ----------- $B0J2<$O8+K\(B. $B>C$9$J(B. template |
| @comment **************************************************************** |
@comment **************************************************************** |
| @comment --- $B"~"~"~"~(B $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B |
@comment --- $B"~"~"~"~(B $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B |
| @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B. |
@comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B. |
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