| version 1.47, 2013/02/18 07:18:32 |
version 1.51, 2016/05/14 07:55:16 |
|
|
| %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.46 2012/09/18 11:41:18 takayama Exp $ |
%% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.50 2015/08/08 06:28:38 takayama 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 2013 $BG/(B 2 $B7n(B |
@subtitle 2014 $BG/(B 12 $B7n(B |
| |
|
| @author by Risa/Asir committers |
@author by Risa/Asir committers |
| @page |
@page |
|
|
| @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$$$k(B. |
|
|
| @code{pwd} $B$O%+%l%s%H%G%#%l%/%H%j$rJ8;zNs$GJV$9(B. |
@code{pwd} $B$O%+%l%s%H%G%#%l%/%H%j$rJ8;zNs$GJV$9(B. |
| @item |
@item |
| @code{chdir} $B$O%+%l%s%H%G%#%l%/%H%j$r(B @var{directory} $B$KJQ99$9$k(B. $B@.8y$9$l$P(B 0 $B$r<:GT$9$l$P(B -1 $B$rJV$9(B. |
@code{chdir} $B$O%+%l%s%H%G%#%l%/%H%j$r(B @var{directory} $B$KJQ99$9$k(B. $B@.8y$9$l$P(B 0 $B$r<:GT$9$l$P(B -1 $B$rJV$9(B. |
| @item |
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| $B$3$l$i$N4X?t$O(B UNIX $BHG$K$N$_<BAu$5$l$F$$$k(B. |
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| @end itemize |
@end itemize |
| |
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| @example |
@example |
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| |
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| @itemize @bullet |
@itemize @bullet |
| @item asir $B$N%W%m%;%9HV9f$rLa$9(B. |
@item asir $B$N%W%m%;%9HV9f$rLa$9(B. |
| @item $B%W%m%;%9HV9f$O(B asir, ox_asir $BEy$GFHN)$7$?%W%m%;%9$KBP$7$F%7%9%F%`Fb$G0l0U=P$"$k(B. |
@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. |
| @end itemize |
@end itemize |
| |
|
| @example |
@example |
| [219] getpid() |
[219] getpid(); |
| 3214 |
3214 |
| @end example |
@end example |
| |
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| Line 2133 asir2000/parse/puref.c 1.9 $B$r;2>H(B (2013/02/15, 1 |
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| Line 2131 asir2000/parse/puref.c 1.9 $B$r;2>H(B (2013/02/15, 1 |
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| @end itemize |
@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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|
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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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|
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| @comment **************************************************************** |
@comment **************************************************************** |
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|
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|
| Line 2700 B_@{S0@} length : 2 |
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| Line 2777 B_@{S0@} length : 2 |
|
| -- fctr(BF) + base :0.000999sec(0.0005109sec) |
-- fctr(BF) + base :0.000999sec(0.0005109sec) |
| [[y*dy-1,(y*dy-1)*dx,-1],[[1],[0]]] |
[[y*dy-1,(y*dy-1)*dx,-1],[[1],[0]]] |
| @end example |
@end example |
| |
$BJV$jCM$NBh(B 1 $BHVL\$NMWAG(B @code{[[1],[0]]]} $B$O(B, |
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$B@)8B2C72$N4pDl(B |
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@tex $\partial_x^1, \partial_x^0$ @end tex |
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$B$r0UL#$7(B, |
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$BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@)8B2C72$O(B |
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@tex $(y \partial_y - 1, 0), (0, y\partial_y-1), (-1,0)$ @end tex |
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$B$G@8@.$5$l$k$3$H$,$o$+$k(B. |
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| @node nk_restriction.restriction_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B |
@node nk_restriction.restriction_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B |
|
|
| @ifinfo |
@ifinfo |
| I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t |
I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t |
| @end ifinfo |
@end ifinfo |
| $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6]) |
$B$K$D$$$F$N@QJ,2C72$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6]) |
| @example |
@example |
| [1351] nk_restriction.integration([2*t*dx+dt,2*x*dx+t*dt+2],[t,x], |
[1351] nk_restriction.integration([2*t*dx+dt,2*x*dx+t*dt+2],[t,x], |
| [dt,dx],[1,0]); |
[dt,dx],[1,0]); |
| Line 2820 B_@{S0@} length : 2 |
|
| Line 2904 B_@{S0@} length : 2 |
|
| -- fctr(BF) + base :0.001sec(0.0006731sec) |
-- fctr(BF) + base :0.001sec(0.0006731sec) |
| [[4*x*dx^2+6*dx,-4*t*x*dx^2-6*t*dx,2*x*dx+1,-2*t*x*dx,2*t*dx],[[1],[0]]] |
[[4*x*dx^2+6*dx,-4*t*x*dx^2-6*t*dx,2*x*dx+1,-2*t*x*dx,2*t*dx],[[1],[0]]] |
| @end example |
@end example |
| |
$BJV$jCM$NBh(B 1 $BHVL\$NMWAG(B @code{[[1],[0]]]} $B$O(B, |
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$B@QJ,2C72$N4pDl(B |
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@tex $t^1, t^0$ @end tex |
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$B$r0UL#$7(B, |
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$BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@QJ,2C72$O(B |
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@tex $(4 x \partial_x^2 + 6 \partial_x, 0), (0, -4 x \partial_x^2 - 6 \partial_x), |
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(0, -2 x \partial_x), (0, 2 \partial_x)$ @end tex |
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$B$G@8@.$5$l$k$3$H$,$o$+$k(B. |
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|
| @node nk_restriction.integration_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B |
@node nk_restriction.integration_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B |
| @subsection @code{nk_restriction.integration_ideal} |
@subsection @code{nk_restriction.integration_ideal} |
| Line 3240 B_{S0} length : 1 |
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| Line 3332 B_{S0} length : 1 |
|
| [[(en-2)*n+en-2],[[[[ek-1,[(-en+1)*n-en+1,1]]],1]]] |
[[(en-2)*n+en-2],[[[[ek-1,[(-en+1)*n-en+1,1]]],1]]] |
| @end example |
@end example |
| |
|
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@subsection @code{nk_restriction.module_restriction} |
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@comment --- $B:w0zMQ%-!<%o!<%I(B |
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@findex nk_restriction.module_restriction |
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|
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@table @t |
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@item nk_restriction.module_restriction(@var{M}, @var{VL}, @var{DVL}, @var{W}) |
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:: D $B2C72(B @var{M} $B$N=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9!#(B |
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@end table |
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@comment --- $B0z?t$N4JC1$J@bL@(B --- |
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@table @var |
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@item Id |
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D $B2C72$N@8@.85$N%j%9%H(B |
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@item VL |
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$BJQ?t$N%j%9%H(B |
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@item DVL |
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$BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B) |
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@item W |
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$B=E$_%Y%/%H%k$rI=$9%j%9%H(B |
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@end table |
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|
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@itemize @bullet |
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@item |
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@var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B. |
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@comment{($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)} |
| |
$B8=:_$N$H$3$m(B, 1 $BJQ?t$K$D$$$F$@$1@)8B$r$H$k$h$&$K$7$+<BAu$7$F$$$J$$$?$a(B, |
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@var{W} $B$O(B 0 $BHVL\$NMWAG$@$1@5$N@0?t$,F~$k(B. |
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@item |
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$B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&(B. |
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$BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,0,0]} $B$G$"$l$P(B |
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x $B$K$D$$$F@)8B$r9T$&(B. |
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@end itemize |
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|
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$B0J2<$O(B, D $B2C72(B |
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@iftex |
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@tex |
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$M = D \cdot \{(\partial_x, \partial_y), (\partial_y, \partial_x), (x,y) \}$ |
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@end tex |
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$B$N(B |
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@tex |
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$x$ |
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@end tex |
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@ifinfo |
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I = D . @{ (dx, dy), (dy, dx), (x, y) @} $B$N(B x |
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@end ifinfo |
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$B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k!#(B |
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@example |
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[2691] nk_restriction.module_restriction([[dx,dy],[dy,dx],[x,y]], [x,y], [dx,dy], [1,0]); |
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.... |
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bfunction : |
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s |
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[[1,1],[s,1]] |
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integer roots : |
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[0,0] |
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Generators: |
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[e1,e2] |
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Relations: |
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[-8*e2*dy,4*e2*dy^2,-4*e2*dy^3,4*e1*y*dy-4*e1,-4*e1*dy^2,-4*e2,-e2*y*dy^2+2*e2*dy,-e1*y*dy+e1,e1*y*dy-e1] |
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[[0,-1],[-dy^2,0],[y*dy-1,0]] |
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@end example |
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$B@)8B2C72$O(B |
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@tex $(0, -1), (-\partial_y^2, 0), (y \partial_y -1 , 0)$ @end tex |
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$B$G@8@.$5$l$k$3$H$,$o$+$k(B. |
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|
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@subsection @code{nk_restriction.module_integration} |
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@comment --- $B:w0zMQ%-!<%o!<%I(B |
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@findex nk_restriction.module_integration |
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|
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@table @t |
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@item nk_restriction.module_integration(@var{M}, @var{VL}, @var{DVL}, @var{W}) |
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:: D $B2C72(B @var{M} $B$N=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9!#(B |
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@end table |
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|
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@comment --- $B0z?t$N4JC1$J@bL@(B --- |
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@table @var |
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@item Id |
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D $B2C72$N@8@.85$N%j%9%H(B |
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@item VL |
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$BJQ?t$N%j%9%H(B |
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@item DVL |
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$BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B) |
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@item W |
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$B=E$_%Y%/%H%k$rI=$9%j%9%H(B |
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@end table |
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|
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@itemize @bullet |
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@item |
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@var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B. |
| |
@comment{($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)} |
| |
$B8=:_$N$H$3$m(B, 1 $BJQ?t$K$D$$$F$@$1@QJ,$r$H$k$h$&$K$7$+<BAu$7$F$$$J$$$?$a(B, |
| |
@var{W} $B$O(B 0 $BHVL\$NMWAG$@$1@5$N@0?t$,F~$k(B. |
| |
@item |
| |
$B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&(B. |
| |
$BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,0,0]} $B$G$"$l$P(B |
| |
x $B$K$D$$$F@QJ,$r9T$&(B. |
| |
@end itemize |
| |
|
| |
$B0J2<$O(B, D $B2C72(B |
| |
@iftex |
| |
@tex |
| |
$M = D \cdot \{(x, y), (y, x), (\partial_x, \partial_y) \}$ |
| |
@end tex |
| |
$B$N(B |
| |
@tex |
| |
$x$ |
| |
@end tex |
| |
@ifinfo |
| |
I = D . @{ (x, y), (y, x), (dx, dy) @} $B$N(B x |
| |
@end ifinfo |
| |
$B$K$D$$$F$N@QJ,2C72$r7W;;$7$?Nc$G$"$k!#(B |
| |
@example |
| |
[2702] nk_restriction.module_integration([[x,y],[y,x],[dx,dy]], [x,y], [dx,dy], [1,0]); |
| |
... |
| |
bfunction : |
| |
s |
| |
[[1,1],[s,1]] |
| |
integer roots : |
| |
[0,0] |
| |
Generators: |
| |
[e1,e2] |
| |
Relations: |
| |
[-8*e2*y,-4*e2*y^2,-4*e2*y^3,-4*e1*y*dy-8*e1,-4*e1*y^2,-4*e2,-e2*y^2*dy-4*e2*y,e1*y*dy+2*e1,e1*y*dy+2*e1] |
| |
[[0,-1],[y*dy+2,0],[-y^2,0]] |
| |
@end example |
| |
$B@QJ,2C72$O(B |
| |
@tex $(0, -1), (y \partial_y + 2, 0), (-y^2, 0)$ @end tex |
| |
$B$G@8@.$5$l$k$3$H$,$o$+$k(B. |
| |
|
| @noindent |
@noindent |
| ChangeLog |
ChangeLog |
| @itemize @bullet |
@itemize @bullet |
|
|
| @item 2010-05 $B$+$i(B 2010-07 $B$K$+$1$F(B 2 $B$D$N(B option (@code{ht}, @code{ord}) $B$H(B |
@item 2010-05 $B$+$i(B 2010-07 $B$K$+$1$F(B 2 $B$D$N(B option (@code{ht}, @code{ord}) $B$H(B |
| $B?7$?$J4X?t(B trans_inhomo() $B$,DI2C$5$l$?(B. 1.10--1.13 $B$r8+$h(B. |
$B?7$?$J4X?t(B trans_inhomo() $B$,DI2C$5$l$?(B. 1.10--1.13 $B$r8+$h(B. |
| @item 2011-08 $B$K(B ost_sum() $B$,DI2C$5$l$?(B. 1.20 $B$r8+$h(B. |
@item 2011-08 $B$K(B ost_sum() $B$,DI2C$5$l$?(B. 1.20 $B$r8+$h(B. |
| |
@item 2016-05 $B$K(B module_integration(), module_restriction() $B$,DI2C$5$l$?(B. |
| @end itemize |
@end itemize |
| |
|
| @node $B$=$NB>(B($BL$J,N`(B),,, $B<B83E*;EMM$N4X?t(B |
@node $B$=$NB>(B($BL$J,N`(B),,, $B<B83E*;EMM$N4X?t(B |
| Line 3603 holonomic gradient method $B$G$d$k$?$a$K$=$N=i4|CM$r7 |
|
| Line 3825 holonomic gradient method $B$G$d$k$?$a$K$=$N=i4|CM$r7 |
|
| @item $B:GE,2=$r$^$@$^$@$5$\$C$F$k(B. |
@item $B:GE,2=$r$^$@$^$@$5$\$C$F$k(B. |
| @end itemize |
@end itemize |
| |
|
| @comment ----------- $B0J2<$O8+K\(B. $B>C$9$J(B. template |
@node ot_hgm_ahg.cbase,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{ot_hgm_ahg.cbase} |
| |
@findex ot_hgm_ahg.cbase |
| |
|
| |
@table @t |
| |
@item cbase(@var{A}) |
| |
:: @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O$N(B Pfaffian $B$N4pDl$r5a$a$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
Pfaffian$B$N4pDl(B($BHyJ,:nMQAG$N%b%N%_%"%k(B)$B$N%j%9%H(B |
| |
@item A |
| |
$B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item A-$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$$(B. $B8D?t$O$b$A$m$sF1$8$G$"$k(B. |
| |
@item |
| |
$B%"%k%4%j%:%`$O(B |
| |
T.Hibi, K.Nishiyama, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations I, Bases of Twisted Cohomology Groups, arxiv:1212.6103 |
| |
$B$K$h$k(B. |
| |
$B$5$i$K%Q%i%a!<%?(B b $B$r?t$KFC<l2=$9$k3NN(;;K!$rMQ$$$F$$$k(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[2190] import("ot_hgm_ahg.rr"); |
| |
1 |
| |
[2191] ot_hgm_ahg.cbase([[1,1,1,1],[0,1,2,3]]); |
| |
We use a probabilistic algorithm to determine the base.[dx2^2,dx3*dx2,dx3^2] |
| |
|
| |
[dx3,dx4,1] |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{get_mat2} |
| |
@end table |
| |
|
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item |
| |
$B$3$N4X?t$O(B 2012 $B$+$i(B 2014-$B=U5Y$_$K$+$1$F$+$+$l$?(B. |
| |
@item version 1.1 $B0JA0$NHG$O(B h-mle/A-hg/Prog ($B8&5f%0%k!<%W$N6&M-%U%)%k%@(B) $B$K$"$j(B. |
| |
@end itemize |
| |
|
| |
@node ot_hgm_ahg.get_mat2,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{ot_hgm_ahg.get_mat2} |
| |
@findex ot_hgm_ahg.get_mat2 |
| |
@comment get_mat2 |
| |
@table @t |
| |
@item get_mat2(@var{A},@var{W},@var{Std},@var{Mset}) |
| |
:: @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O(B H_A $B$N(B Pfaffian $B$N4pDl$r5a$a$k$?$a$N(B Sylvester $BK!(B $B$rE,MQ$9$k$?$a$N9TNs$r@8@.$9$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B |
| |
@item A |
| |
$B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B |
| |
@item W |
| |
$B%j%9%H(B. toric ideal $B$N%0%l%V%J!<4pDl$r7W;;$9$k$?$a$N(B weight vector. |
| |
$BB?J,$J$s$G$b$$$$$O$:(B. |
| |
@item Std |
| |
$B%j%9%H(B. Pfaffian $B$N4pDl(B. cbase(A) $B$N=PNO$rMQ$$$k(B. |
| |
@item Mset |
| |
Sylvester $B7?9TNs$r:n$k$?$a$NHyJ,:nMQAG$N%b%N%_%"%k$N%j%9%H(B. |
| |
@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'. |
| |
@end itemize |
| |
|
| |
@example |
| |
[2190] import("ot_hgm_ahg.rr"); |
| |
1 |
| |
[2191] A=[[1,1,1,1],[0,1,2,3]]$ |
| |
Std=ot_hgm_ahg.cbase(A)$ |
| |
W=[[dx1,1,dx2,1,dx3,1,dx4,1]]$ |
| |
Mset=[1,dx1,dx2,dx3,dx4]$ |
| |
[2192] ot_hgm_ahg.get_mat2(A,W,Std,Mset); |
| |
|
| |
$B>JN,(B |
| |
@end example |
| |
|
| |
@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. |
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$BBh#1@.J,$O(BA-$BD64v2?J}Dx<07O$N%Q%i%a!<%?&B(B. |
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@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]] |
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@end example |
| |
|
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@table @t |
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@item $B;2>H(B |
| |
@ref{abc2marginal} |
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@ref{marginal2abc} |
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@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. |
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@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$$$F$NJPHyJ,$r7W;;$9$k(B. |
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@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B%j%9%H(B @var{Ans} |
| |
@item A |
| |
$B?t(B |
| |
@item B |
| |
$B?t$N%j%9%H(B. $BD9$5$O(B m. |
| |
@item C |
| |
$B?t(B |
| |
@item Y |
| |
(2,m+1) $BJQ?tCM$r$"$i$o$9%j%9%H$N%j%9%H(B. |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item |
| |
@var{A}, @var{B}, @var{C}, $B$K8=$l$k?t$O@0?t$rM?$($k(B. |
| |
@var{Y} $B$N@.J,$OM-M}?t$rM?$($k(B. |
| |
@item |
| |
@var{Ans}[2]*@var{Ans}[1] $B$,(B Z. |
| |
@var{Ans}[2]*@var{Ans}[0][I] $B$,(B Z $B$N(B Y[1][I] $B$K$D$$$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 |
| |
|
| |
|
| |
@node pari,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{pari}, @code{setbprec},@code{setround},@code{todouble},@code{mpfr_gamma},@code{mpfr_floor},@code{mpfr_round}, |
| |
@findex pari |
| |
@findex setbprec |
| |
@findex setround |
| |
@findex todouble |
| |
@findex mpfr_gamma |
| |
@findex mpfr_floor |
| |
@findex mpfr_round |
| |
|
| |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| |
@comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B --- |
| |
@table @t |
| |
@item pari(@var{arg1},@var{arg2},...) |
| |
:: MPFR $B$G(B pari $B$N4X?t$r(B emulate $B$9$k$+(B ox_pari $B%5!<%P!<$r8F$S=P$9(B. |
| |
@itemx setbprec(@var{arg1}) |
| |
@itemx setround(@var{arg1}) |
| |
$B4]$a$NJ}K!$N;XDj(B. mpfr $B=`5r(B. |
| |
@itemx todouble(@var{arg1}) |
| |
:: bigfloat $B7?$r(B double $B$KJQ49$9$k(B. |
| |
@itemx mpfr_gamma(@var{arg1}) |
| |
:: gamma $B4X?t$N7W;;(B. |
| |
@itemx mpfr_floor(@var{arg1}) |
| |
:: floor $B$N7W;;(B. |
| |
@itemx mpfr_round(@var{arg1}) |
| |
:: $B4]$a$N7W;;(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$B8e=R(B. |
| |
@item arg1, arg2 |
| |
$B8e=R(B. |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item 20150807 $B0J9_$N(B asir $B$G$O(B, bigfloat $B$,(B pari $B$G$O$J$/(B mpfr $B$rMQ$$$F7W;;$5$l$k(B. |
| |
Todo, pari $B$O(B ox_pari $B$r8F$S=P$9$,(B, $B$^$@(B ox_pari $B$KL$<BAu$N5!G=$,B?$/$"$k(B. |
| |
$B6h4V1i;;$X$NBP1~$O9T$C$F$$$J$$(B. |
| |
@item |
| |
pari(floor,@var{arg1}), |
| |
pari(round,@var{arg1}), |
| |
pari(gamma,@var{arg1}) |
| |
$B$O(B mpfr $B$G(B pari $B$r(B emulate $B$7$F$$$k$N$G(B, $BF0:n$,0[$J$k(B. |
| |
$BFC$K(B gamma $B$OJ#AG?t$N0z?t$r<u$1<h$i$J$$(B. |
| |
pari $B$N(B floor $B$O7e?t$,B-$j$J$/$J$k$H%(%i!<$G=*N;$7$?$,(B, |
| |
$B$3$N(B floor $B$G$O(B setprec $B$G;XDj$7$?7e?t0JFb$J$i@5$7$/(B floor $B$rLa$9(B. |
| |
Todo, ox_pari $B$r;XDj$7$F8F$S=P$9J}K!(B. |
| |
@end itemize |
| |
|
| |
@example |
| |
[219] ctrl("bigfloat",1)$ |
| |
[220] setprec(100)$ |
| |
[221] pari(floor,1111111111111.1+1/10); |
| |
1111111111111 |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{pari} |
| |
@end table |
| |
|
| |
@comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B |
| |
@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item $B$3$l$i$NBgJQ99$O(B 2015-08-03 $B$h$j(B 08-07 $B$N(B asir $B9g=I$G$*$3$J$o$l$?(B. |
| |
$B$^$@:n6HCf(B. Todo, asirgui $B$X$NBP1~(B. debug, ... |
| |
@item $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B asir2000/builtin/bfaux.c, |
| |
asir2000/engine/bf.c, asir2000/builtin/parif.c $BEyB??t(B. |
| |
@end itemize |
| |
|
| @comment **************************************************************** |
@comment **************************************************************** |
| @comment --- $B"~"~"~"~(B $B0J2<B>$N4X?t$K$D$$$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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