| version 1.35, 2009/12/09 04:58:29 |
version 1.39, 2010/07/16 07:55:06 |
|
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| %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.34 2009/05/16 04:56:32 ohara Exp $ |
%% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.38 2010/02/10 05:49:58 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 2008 $BG/(B 1 $B7n(B |
@subtitle 2010 $BG/(B 2 $B7n(B |
| |
|
| @author by Risa/Asir committers |
@author by Risa/Asir committers |
| @page |
@page |
| @vskip 0pt plus 1filll |
@vskip 0pt plus 1filll |
| Copyright @copyright{} Risa/Asir committers |
Copyright @copyright{} Risa/Asir committers |
| 2004. All rights reserved. |
2004--2010. All rights reserved. |
| @end titlepage |
@end titlepage |
| |
|
| @comment --- $B$*$^$8$J$$(B --- |
@comment --- $B$*$^$8$J$$(B --- |
| Line 134 ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe |
|
| Line 134 ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe |
|
| * dcurrenttime:: |
* dcurrenttime:: |
| * nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module):: |
* nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module):: |
| * nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option):: |
* nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option):: |
| |
* tk_pf.rkn:: |
| @end menu |
@end menu |
| |
|
| @node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B |
@node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B |
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|
| @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$$$l$P$3$N%U%!%$%k$,:n@.$5$l$k(B. |
@item asirgui (Windows $BHG(B) $B$r5/F0$9$k$H(B asirgui.exe $B$N$"$k%U%)%k%@$*$h$S(B $B4D6-JQ?t(B TEMP $B$,Dj5A$5$l$F$$$l$P$3$N%U%!%$%k$,:n@.$5$l$k(B. |
| @item $BCf?H$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. |
| @end itemize |
@end itemize |
| |
|
| @example |
@example |
|
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| @item $B$3$N5!G=$O(B 2006-12-5, 2007-02-13 $B$K2C$($i$l$?(B. |
@item $B$3$N5!G=$O(B 2006-12-5, 2007-02-13 $B$K2C$($i$l$?(B. |
| @item @code{OpenXM_contrib2/windows/asir32gui/asir32gui.clw} 1.11 |
@item @code{OpenXM_contrib2/windows/asir32gui/asir32gui.clw} 1.11 |
| @item @code{OpenXM_contrib2/windows/asir32gui/asir32guiview.cpp} 1.15, 1.1.6 |
@item @code{OpenXM_contrib2/windows/asir32gui/asir32guiview.cpp} 1.15, 1.1.6 |
| |
@item winfep $B$O(B 2010-01-20 $B:"$KBh0lHG$,(B commit $B$5$l$?(B. |
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@item @code{OpenXM_contrib2/windows/winfep} 1.1 |
| @end itemize |
@end itemize |
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| Line 2837 B_@{S0@} length : 2 |
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| Line 2841 B_@{S0@} length : 2 |
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| [1432] |
[1432] |
| @end example |
@end example |
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@node nk_restriction,,, D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N@bL@(B (option) |
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@subsection @code{nk_restriction (option)} |
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@comment --- $B:w0zMQ%-!<%o!<%I(B |
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@findex nk_restriction (option) |
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@table @t |
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@item nk_restriction.restriction(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}) |
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@item nk_restriction.restriction_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord}) |
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@item nk_restriction.integration(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}) |
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@item nk_restriction.integration_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord}) |
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:: D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N%*%W%7%g%s$N@bL@(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 @var{n} |
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0 $B$^$?$O(B 1 |
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@item @var{p} |
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$B%j%9%H(B ($B78?tBN$KB0$9$kJQ?t$N%j%9%H(B) |
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@item @var{m} |
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$B@0?t(B |
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@item @var{b} |
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0, 1, 2, 3 $B$N$$$:$l$+(B |
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@item @var{ord} |
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$B=E$_(B0$B$NJQ?t$KBP$9$k9`=g=x(B |
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@end table |
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@comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B --- |
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@comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B --- |
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@comment --- @bullet $B$O9uE@IU$-(B --- |
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@itemize @bullet |
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@item @var{n} $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$N7W;;$r9T$&(B. |
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restriction_ideal (integration_ideal) $B$K4X$7$F$O(B, $B%$%G%"%k(B @code{I} $B$N(B |
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@code{M} $BJQ?t$K$D$$$F$N@)8B(B($B@QJ,(B)$B%$%G%"%k(B @code{J} $B$H(B |
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|
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@iftex |
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@tex |
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{\tt J[K]-(1/IH[K][1])(IH[K][0][0][0]IH[K][0][0][1]+...+IH[K][0][M][0]IH[K][0][M][1])} $\in$ {\tt I} |
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@end tex |
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@end iftex |
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@ifinfo |
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J[K]-(1/IH[K][1])(IH[K][0][0][0]IH[K][0][0][1]+...+IH[K][0][M][0]IH[K][0][M][1]) \in I |
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@end ifinfo |
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|
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$B$rK~$?$9Hs@F<!ItJ,$r9=@.$9$k>pJs(B @code{IH} $B$H$N%Z%"(B @code{[J,IH]} $B$r=PNO$9$k(B. |
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$B>\$7$$=PNO$N8+J}$K$D$$$F$O(B, $B2<$NNc$d%=!<%9$N(B @code{inhomo_part} $B$N(B |
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$B%3%a%s%H$r;2>H(B. |
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|
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restriction, integration $B$KBP$9$k(B @code{inhomo} $B%*%W%7%g%s$O(B |
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restriction_ideal, integration_ideal $B$N%5%V%k!<%A%s$H$7$F$N<B9TMQ$J$N$G(B, |
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$B%f!<%6$,L@<(E*$K;HMQ$9$k$3$H$O$J$$(B. |
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@item @var{param} $B$K;XDj$5$l$?JQ?t$O78?tBN$KB0$9$k$b$N$H$_$J$5$l$F7W;;$,9T$o$l$k(B. |
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$B$^$?(B, ``generic'' $B$G$"$k$3$H$,2>Dj$5$l$k(B. |
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$B$D$^$j(B, $B$3$l$i$NJQ?t$K0MB8$9$k$h$&$J(B generic b-$B4X?t$N:,$O(B, |
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$B:GBg@0?t:,$G$J$$$H$$$&$3$H$G$"$k(B. |
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|
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@item @var{param} $B$,;XDj$5$l$k$H(B, generic b-$B4X?t$N7W;;$O(B noro $B$K$h$k(B |
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$B9bB.%"%k%4%j%:%`$G$O$J$/(B, $B>C5nK!$,MQ$$$i$l$k(B. |
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@var{param} $B$K6u%j%9%H$r;XDj$9$k$3$H$G(B, b-$B4X?t$N7W;;J}K!$N%U%i%0$H$7$F$b(B |
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$BMxMQ$G$-$k(B. |
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|
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@item @var{m} $B$,Ii$G$J$$$H$-(B, $B7W;;$r9T$o$:$K(B s-m $B$r(B generic b-$B4X?t$H$7$F(B |
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$B@)8B(B, $B@QJ,Ey$N7W;;$r9T$&(B. |
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|
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@item @var{b} $B$K$h$j(B, $B2C72$N%0%l%V%J4pDl7W;;$K@F<!2=(B, trace $B%"%k%4%j%:%`(B |
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$B$rMQ$$$k$+$I$&$+;XDj$G$-$k(B. |
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$B$?$@$7(B, $B@F<!2=$"$j$G7W;;$G$-$k$N$O(B Risa/Asir $B%P!<%8%g%s(B 20100415 $B0J9_$G$"$k(B. |
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0: $B@F<!2=$J$7(B, trace $B$J$7(B |
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1: $B@F<!2=$J$7(B, trace $B$"$j(B |
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2: $B@F<!2=$"$j(B, trace $B$J$7(B ($B%G%U%)%k%H(B) |
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3: $B@F<!2=$"$j(B, trace $B$"$j(B |
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@item @var{ord} $B$,;XDj$5$l$k$H(B, $B=PNO$N@QJ,(B, $B@)8B%$%G%"%k$O(B, $B$=$N9`=g=x$K(B |
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$B4X$9$k%0%l%V%J4pDl$H$J$k(B. $B2C72$N%0%l%V%J4pDl7W;;$N(B POT $B=g=x$N(B tie breaker |
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$B$H$7$F;HMQ$5$l$k$N$G7W;;8zN($KBg$-$J1F6A$rM?$($k2DG=@-$,$"$k(B. |
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$B%G%U%)%k%H$O(B 0, $B$D$^$jA4<!?t5U<!=q<0=g=x$G$"$k(B. |
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$B$3$N%*%W%7%g%s$O(B @var{param} $B$HF1;~MxMQ$G$-$J$$(B. ($B8e$KBP1~M=Dj(B.) |
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@end itemize |
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$B0J2<$O(B, |
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@iftex |
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@tex |
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$ t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a} $ |
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@end tex |
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$B$N(B annihilator |
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@tex |
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$I = D \cdot \{ x(1-x) \partial_x^2+((1-t) \partial_t-(a+b+1)x+c-1) |
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\partial_x-ab, (1-t)x \partial_x+t(1-t) \partial_t+(2-c)t+b-1, |
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(xt-1) \partial_x+at \}$ |
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@end tex |
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$B$N(B |
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@tex |
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$t$ |
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@end tex |
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$B$K$D$$$F$N@QJ,%$%G%"%k(B |
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@tex |
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$J$ |
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@end tex |
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$B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3]) |
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@end iftex |
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@ifinfo |
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t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a} |
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$B$N(B annihilator |
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I = D . @{ x(1-x)dx^2+((1-t)dt-(a+b+1)x+c-1)dx-ab, |
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(1-t)x dx+t(1-t)dt+(2-c)t+b-1, (xt-1)dx+at @} |
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$B$N(B t $B$K$D$$$F$N@QJ,%$%G%"%k(B J |
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$B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3]) |
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@end ifinfo |
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@example |
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[1555] A=ndbf.ann_n([t,1-t,1-x*t])$ |
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[1556] I=map(subst,A,s0,b-1,s1,c-b-1,s2,-a); |
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[(x^2-x)*dx^2+((t-1)*dt+(a+b+1)*x-c+1)*dx+b*a,(-t+1)*x*dx+(t^2-t)*dt+(-c+2)*t+b-1,(t*x-1)*dx+a*t] |
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[1557] J=nk_restriction.integration_ideal(I,[t,x],[dt,dx],[1,0]|inhomo=1, param=[a,b,c]); |
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-- nd_weyl_gr :0sec(0.001875sec) |
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-- weyl_minipoly_by_elim :0.008001sec(0.006133sec) |
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-- generic_bfct_and_gr :0.008001sec(0.006181sec) |
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generic bfct : [[-1,1],[s,1],[s-a+c-1,1]] |
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S0 : 0 |
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B_{S0} length : 1 |
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-- fctr(BF) + base :0sec(0.003848sec) |
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-- integration_ideal_internal :0sec(0.07707sec) |
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[[(x^2-x)*dx^2+((a+b+1)*x-c)*dx+b*a],[[[[dt,(-t+1)*dx]],1]]] |
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@end example |
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@iftex |
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$B$3$N=PNO$O(B |
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@tex |
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$\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \} |
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- 1/1 \{ \partial_t (-t+1) \partial_x \} \in I$ |
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@end tex |
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$B$G$"$k$3$H$r0UL#$9$k(B. |
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@end iftex |
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@ifinfo |
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$B$3$N=PNO$O(B |
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@{(x^2-x)dx^2+((a+b+1)x-c)dx+ab @} - 1/1 @{ dt (-t+1)dx @} \in I |
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$B$G$"$k$3$H$r0UL#$9$k(B. |
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@end ifinfo |
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|
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@node nk_restriction,,, D $B2C72$N@QJ,%$%G%"%k$NHs@F<!ItJ,$K4X$9$k4X?t(B |
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@subsection @code{nk_restriction.trans_inhomo} |
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@comment --- $B:w0zMQ%-!<%o!<%I(B |
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@findex trans_inhomo |
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@table @t |
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@item nk_restriction.trans_inhomo(@var{P}, @var{INT}, @var{VL}, @var{DVL}, @var{W}) |
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:: D $B2C72$N@)8B%$%G%"%k(B, $B@QJ,%$%G%"%k$N@8@.85$KBP$9$kHs@F<!ItJ,$N>pJs$+$i(B, $BG$0U$N85$KBP$9$kHs@F<!ItJ,$r7W;;$9$k4X?t(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 P |
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$B@QJ,%$%G%"%k$N85(B, $B$^$?$O@)8B%$%G%"%k$N85(B |
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@item INT |
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nk_restriction.integration_ideal( ... |inhomo=1); $B$^$?$O(B |
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nk_restriction.restriction_ideal( ... |inhomo=1); $B$N=PNO(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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@comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B --- |
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@comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B --- |
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@comment --- @bullet $B$O9uE@IU$-(B --- |
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@itemize @bullet |
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@item @var{VL}, @var{DVL}, @var{W} $B$O(B @var{INT} $B$N7W;;$KMQ$$$?$b$N$r$=$N$^$^;HMQ$7$J$1$l$P$J$i$J$$(B. |
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@item $B$b$7(B, @var{P} $B$,(B @var{INT[0]} $B$G@8@.$5$l$k@QJ,(B, $B@)8B%$%G%"%k$N85$G$J$$>l9g$O%(%i!<%a%C%;!<%8$,I=<($5$l$k(B. |
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@end itemize |
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|
| @noindent |
@noindent |
| ChangeLog |
ChangeLog |
| @itemize @bullet |
@itemize @bullet |
| @item $B$3$l$i$N4X?t$O(B OpenXM/src/asir-contrib/packages/src/nk_restriction.rr $B$GDj5A$5$l$F$$$k(B. nk_restriction.rr, 1.1--1.6 $B$r8+$h(B. |
@item $B$3$l$i$N4X?t$O(B OpenXM/src/asir-contrib/packages/src/nk_restriction.rr $B$GDj5A$5$l$F$$$k(B. nk_restriction.rr, 1.1--1.6 $B$r8+$h(B. |
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@item 2010-02-05 $B$K(B 3 $B$D$N(B option (@code{inhomo}, @code{param}, @code{s0}) $B$,DI2C$5$l$?(B. 1.7--1.9 $B$r8+$h(B. |
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@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 |
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$B?7$?$J4X?t(B trans_inhomo() $B$,DI2C$5$l$?(B. 1.10--1.13 $B$r8+$h(B. |
| @end itemize |
@end itemize |
| |
|
| @node $B$=$NB>(B,,, $B<B83E*;EMM$N4X?t(B |
@node $B$=$NB>(B($BL$J,N`(B),,, $B<B83E*;EMM$N4X?t(B |
| @section $B$=$NB>(B |
@section $B$=$NB>(B($BL$J,N`(B) |
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|
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@node tk_pfn.rkn,,, $B<B83E*;EMM$N4X?t(B |
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@subsection @code{tk_pfn.rkn} |
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@findex tk_pfn.rkn |
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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_pfn.rkn(@var{F},@var{X},@var{Y},@var{Xs},@var{Ys},@var{Ht},@var{H}) |
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:: Pfaffian $BJ}Dx<0$KBP$9$k(B Runge-Kutta $BK!(B |
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@end table |
| |
|
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@table @var |
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@item return |
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$B%j%9%H(B $BFHN)JQ?t$H2r$NAH(B |
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@item F, X, Y, Xs, Ys, Ht, H |
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@var{F} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B. |
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@var{X} $B$OFHN)JQ?t%j%9%H(B. |
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@var{Y} $B$O=>B0JQ?t%j%9%H(B. |
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@var{Xs} $BFHN)JQ?t$N=PH/CM%j%9%H(B. |
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@var{Ys} $B$O=PH/;~$N=>B0JQ?t$NCM%j%9%H(B. |
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@var{Xt} $B$ODd;_$9$kFHN)JQ?t$NCM%j%9%H(B. |
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@var{H} $B$OHy>/?t(B. |
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@end table |
| |
|
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@itemize @bullet |
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@item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/d X[i] = F[i] Y $B$r?tCME*$K2r$/(B. |
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@item $BG$0U$N(B holonomic system $B$O(B Pfaffian $BJ}Dx<0$KJQ49$G$-$k(B ([SST, Chap 1]).$B!!JQ49$K$O(B yang.rr $B%Q%C%1!<%8$rMQ$$$k(B. |
| |
@item d F[i]/d X[j] + F[i] F[j] = d F[j]/d X[i] + F[j] F[i] = 0 $B$,G$0U$N(B i, j $B$KBP$7$F@.N)$7$F$$$k$3$H$,2r$,B8:_$9$kI,MW==J,>r7o$G$"$k(B. $B$3$N>r7o$,@.N)$7$J$$$H$-$K$3$N4X?t$rMQ$$$F2r$r7W;;$7$F$b$=$N2r$O56J*$G$"$k(B. |
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@item X[i] $B$,F0$/HO0O$O<B?t$G$J$$$H$$$1$J$$(B. |
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@item Xs[i] <= X[i] <= Xt[i] $B$^$?$O(B Xt[i] <= X[i] <= Xs[i] $B$G$"$k(B. |
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@item $B0z?t$NM?$(J}$NNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/tk_pfn.rr} )$B$N(B @code{tk_pfn.test1}, @code{tk_pfn.test2} $B$r;2>H(B. |
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@item $B2<$NNc$N=PNO$O(B X=(1,3) $B$G$NCM$,(B Y=(-8,2,-6) $B$G$"$k$3$H$r0UL#$9$k(B. |
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@item $B;29M(B. taka_runge_kutta.rr, yang.rr |
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@end itemize |
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|
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@example |
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[1355] import("tk_pfn.rr"); |
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[1590] tk_pfn.test1(); |
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Value at (3,0.1)[8.99,6,-0.2] |
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Value at (1,3)[-8,2,-6] |
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[[[1,3],-8,2,-6], |
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[[1,2.9],-7.41,2,-5.8], |
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--- snip --- |
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[[3,0.1],8.99,6,-0.2]] |
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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. |
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item $B$3$N4X?t$O(B 2009-12 $B$+$i(B 2010-01 $B$K$+$1$F:G=i$NHG$,=q$+$l$?(B. |
| |
@item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.1, 1.2 |
| |
@item $B$3$N%b%8%e!<%k$NA0?H$O(B @code{tk_pf2.rr} $B$G$"$k(B. $B$3$l$OFHN)JQ?t$,(B 2 $B8D$N>l9g$G$"$k(B. |
| |
@end itemize |
| |
|
| |
@node fj_simp.simplify,,, $B<B83E*;EMM$N4X?t(B |
| |
@subsection @code{fj_simp.simplify} |
| |
@findex fj_simp.simplify |
| |
|
| |
@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 fj_simp.simplify(@var{arg1}) |
| |
:: arg1 $B$r4JC12=$9$k(B. |
| |
@end table |
| |
|
| |
@table @var |
| |
@item return |
| |
$BB?9`<0(B, $BM-M}<0(B $B$^$?$O(B quote |
| |
@item arg1 |
| |
$BB?9`<0(B $B$^$?$O(B $BM-M}<0(B |
| |
@end table |
| |
|
| |
@itemize @bullet |
| |
@item |
| |
$B8=:_$N%P!<%8%g%s$G$O(B fj_simp.simplify $B$G$J$/(B, $BC1$K(B simplify $B$H$h$V(B. |
| |
@item |
| |
$B$3$N4X?t$O(B |
| |
Joel S. Cohen, Computer Algebra and Symbolic Computation, |
| |
http://web.cs.du.edu/~jscohen/MathematicalMethods/index.htm |
| |
$B$K5-=R$5$l$F$$$k(B Automatic simplification algorithm $B$H(B |
| |
B.F.Caviness, R.J.Fateman, Simplification of Radical Expressions (1976) |
| |
$B$K5-=R$5$l$F$$$k(B radcan $B%"%k%4%j%:%`$N<BAu$G$"$k(B. |
| |
@item |
| |
$BJ#AGB?CM4X?t$H$7$F$O(B (x*y)^a = x^a*x^b $B$O0lHL$K$O@.N)$7$J$$$N$G(B, $B7k2L$rJ#AG4X?t$K;H$&$H$-$O(B |
| |
$BCm0U$,I,MW$G$"$k(B. (x^a = exp(a*log(x)) $B$J$N$G(B) |
| |
@end itemize |
| |
|
| |
@example |
| |
load("fj_simplify.rr"); |
| |
[1434] simplify((x^(1/2))^3); |
| |
((x)^(3/2)) |
| |
[1435] simplify((2^(1/2))^2); |
| |
2 |
| |
[1436] simplify((2+2^(1/2))^3); |
| |
14*((2)^(1/2))+20 |
| |
[1437] simplify(exp(x)*exp(-x+y)); |
| |
((@@e)^(y)) |
| |
@end example |
| |
|
| |
@table @t |
| |
@item $B;2>H(B |
| |
@ref{quote} |
| |
@end table |
| |
|
| |
@noindent |
| |
ChangeLog |
| |
@itemize @bullet |
| |
@item |
| |
$B>-MhE*$K$O(B module $B2=$7$F(B fj_simp module $B$K4^$a$kM=Dj(B. |
| |
poly_simplify $B$+$i(B fj_simp.simplify $B$r8F$V(B. |
| |
@item |
| |
Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification $B$N5!G=(B. |
| |
@item |
| |
$B$3$N4X?t$O(B 2010.01 $B$K(B M.Fujimoto $B$K$h$j:G=i$NHG$,=q$+$l$?(B. |
| |
OpenXM/src/asir-contrib/packages/src/fj_simplify.rr |
| |
@end itemize |
| |
|
| @comment ----------- $B0J2<$O8+K\(B. $B>C$9$J(B. |
@comment ----------- $B0J2<$O8+K\(B. $B>C$9$J(B. |
| @comment **************************************************************** |
@comment **************************************************************** |
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