| version 1.39, 2010/07/16 07:55:06 |
version 1.43, 2011/12/08 06:40:52 |
|
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| %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.38 2010/02/10 05:49:58 takayama Exp $ |
%% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.42 2011/12/08 06:31:22 nisiyama 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 2 $B7n(B |
@subtitle 2010 $BG/(B 9 $B7n(B |
| |
|
| @author by Risa/Asir committers |
@author by Risa/Asir committers |
| @page |
@page |
| Line 134 ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe |
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| Line 134 ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe |
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| * 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:: |
* tk_pfn.rkn:: |
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* tk_pfn.graph:: |
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* tk_rk.runge_kutta_4:: |
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* tk_rk.runge_kutta_4_linear:: |
| @end menu |
@end menu |
| |
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| @node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B |
@node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B |
| Line 2841 B_@{S0@} length : 2 |
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| Line 2844 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) |
@node nk_restriction.ann_mul,,, D $B2C72$N@)8B$K4X$9$k4X?t(B |
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@subsection @code{nk_restriction.ann_mul} |
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@comment --- $B:w0zMQ%-!<%o!<%I(B |
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@findex nk_restriction.ann_mul |
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@table @t |
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@item nk_restriction.ann_mul(@var{I}, @var{J}, @var{VL}, @var{DVL}) |
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:: @var{f} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{I}, |
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@var{g} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$r(B @var{J} $B$H$7$?$H$-(B, |
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@var{fg} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$rJV$9(B. |
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@end table |
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@comment --- $B0z?t$N4JC1$J@bL@(B --- |
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@table @var |
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@item I |
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$B%$%G%"%k$N@8@.85$N%j%9%H(B |
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@item J |
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$B%$%G%"%k$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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@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 test_ann_mul(), test_ann_mul2(), test_ann_mul3() $B$r;2>H(B. |
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@end itemize |
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@node nk_restriction (option) ,,, D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N@bL@(B (option) |
| @subsection @code{nk_restriction (option)} |
@subsection @code{nk_restriction (option)} |
| @comment --- $B:w0zMQ%-!<%o!<%I(B |
@comment --- $B:w0zMQ%-!<%o!<%I(B |
| @findex nk_restriction (option) |
@findex nk_restriction (option) |
| Line 2986 $\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \} |
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| Line 3022 $\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \} |
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| $B$G$"$k$3$H$r0UL#$9$k(B. |
$B$G$"$k$3$H$r0UL#$9$k(B. |
| @end ifinfo |
@end ifinfo |
| |
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| @node nk_restriction,,, D $B2C72$N@QJ,%$%G%"%k$NHs@F<!ItJ,$K4X$9$k4X?t(B |
@node nk_restriction.trans_inhomo,,, D $B2C72$N@QJ,%$%G%"%k$NHs@F<!ItJ,$K4X$9$k4X?t(B |
| @subsection @code{nk_restriction.trans_inhomo} |
@subsection @code{nk_restriction.trans_inhomo} |
| @comment --- $B:w0zMQ%-!<%o!<%I(B |
@comment --- $B:w0zMQ%-!<%o!<%I(B |
| @findex trans_inhomo |
@findex nk_restriction.trans_inhomo |
| |
|
| @comment --- $B4X?t$N4JC1$J@bL@(B --- |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| @table @t |
@table @t |
| Line 3021 nk_restriction.restriction_ideal( ... |inhomo=1); $B$ |
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| Line 3057 nk_restriction.restriction_ideal( ... |inhomo=1); $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. |
@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$$>l9g$O%(%i!<%a%C%;!<%8$,I=<($5$l$k(B. |
| @end itemize |
@end itemize |
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@node nk_restriction.ost_integration_ideal,,, D $B2C72$N@QJ,%$%G%"%k(B |
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@subsection @code{nk_restriction.ost_integration_ideal} |
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@comment --- $B:w0zMQ%-!<%o!<%I(B |
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@findex nk_restriction.ost_integration_ideal |
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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$B@QJ,NN0h$,6h4V$ND>@Q$G$"$k$h$&$J@QJ,$NK~$?$9(B |
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$B%[%m%N%_%C%/@F<!HyJ,J}Dx<07O$rJV$9(B (Oaku-Shiraki-Takayama, 2003). |
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@table @t |
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@item nk_restriction.ost_integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB}) |
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:: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K%7%g!<%H%+%C%HK!$rMQ$$$k(B. |
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@item nk_restriction.ost_integration_ideal2(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB}) |
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:: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K@)8B%$%G%"%k$rMQ$$$k(B. |
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@end table |
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@comment --- $B0z?t$N4JC1$J@bL@(B --- |
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@table @var |
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@item Id |
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$B%$%G%"%k$N@8@.85$N%j%9%H(B |
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@item VL |
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$BJQ?t$N%j%9%H(B |
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@item DVL |
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$BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B) |
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@item W |
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$B=E$_%Y%/%H%k$rI=$9%j%9%H(B |
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@item LB |
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$B@QJ,6h4V$N2<C<$rI=$9%j%9%H(B |
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@item UB |
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$B@QJ,6h4V$N>eC<$rI=$9%j%9%H(B |
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@end table |
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@comment --- $B$3$3$G4X?t$N>\$7$$@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 $B2<C<(B, $B>eC<$KL58BBg$r;XDj$9$k$H$-$O(B, $BJ8;zNs(B "inf", "+inf", "-inf" $B$rMQ$$$k(B. |
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@end itemize |
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$B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B5.1$B$r7W;;$7$?$b$N$G$"$k(B. |
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@iftex |
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@tex |
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$ \int_0^\infty \exp((-t^3+t)x) dt $ |
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@end tex |
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$B$NHs@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B |
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@tex |
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$ I = \langle \partial_t +(3t^2-1)x, \partial_x+t^3-t \rangle $ |
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@end tex |
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$B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B. |
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@end iftex |
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@ifinfo |
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\int_0^$B!g(B exp((-t^3+t)x) dt |
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$B$NHs@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B |
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I = < dt +(3t^2-1)x, dx+t^3-t > |
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$B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B. |
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@end ifinfo |
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@example |
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[1871] Id=[dt+(3*t^2-1)*x, dx+t^3-t]$ |
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[1872] VL=[t,x]$ |
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[1873] DVL=[dt,dx]$ |
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[1874] W=[1,0]$ |
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[1875] nk_restriction.ost_integration_ideal(Id,VL,DVL,W,[0],["inf"]); |
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-- nd_weyl_gr :0.008sec(0.006768sec) |
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-- weyl_minipoly :0.004001sec(0.003029sec) |
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-- generic_bfct_and_gr :0.012sec(0.0129sec) |
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generic bfct : [[1,1],[s,1],[s-2,1]] |
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S0 : 2 |
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B_{S0} length : 3 |
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-- fctr(BF) + base :0.008sec(0.007395sec) |
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-- integration_ideal_internal :0.012sec + gc : 0.016sec(0.04311sec) |
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[-27*x^3*dx^3-54*x^2*dx^2+(4*x^3+3*x)*dx+4*x^2-3,27*x^2*dx^4+135*x*dx^3+(-4*x^2+105)*dx^2-16*x*dx-8] |
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[1876] nk_restriction.ost_integration_ideal2(Id,VL,DVL,W,[0],["inf"]); |
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($BN,(B) |
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[27*x^3*dx^3+54*x^2*dx^2+(-4*x^3-3*x)*dx-4*x^2+3,-27*x^2*dx^4-135*x*dx^3+(4*x^2-105)*dx^2+16*x*dx+8] |
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@end example |
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$B$3$N=PNO$O(B, $B@QJ,$rNm2=$9$k%[%m%N%_%C%/7O$G$"$k(B. |
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|
| @noindent |
@noindent |
| ChangeLog |
ChangeLog |
| @itemize @bullet |
@itemize @bullet |
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| @item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.1, 1.2 |
@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. |
@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 |
@end itemize |
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@node tk_pfn.graph,,, $B<B83E*;EMM$N4X?t(B |
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@subsection @code{tk_pfn.graph} |
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@findex tk_pfn.graph |
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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.graph(@var{Pf},@var{Dom},@var{Iv},@var{Step}) |
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:: 2$BJQ?t(B Pfaffian $BJ}Dx<0$r(B Runge-Kutta $BK!$G2r$$$F%0%i%UI=<($9$k(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 $B%j%9%H$NMWAG$O0J2<$N7A<0(B [[x$B$NCM(B,y$B$NCM(B],Y_1$B$NCM(B,Y_2$B$NCM(B, ...]. |
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[x$B$NCM(B, y$B$NCM(B] $B$O(B [0,0],[0.2,0],[0.4,0], ... , [0,0.2],[0.2,0.2], ... $B$N$h$&$K(B |
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y $B$NCM$,30B&%k!<%W(B, x $B$NCM$,FbB&%k!<%W$N7A<0$GA}$($k(B. |
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@item Pf, Dom, Iv, Step |
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@var{Pf} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B. $BFHN)JQ?t$O(B x, y $B$G8GDj(B. |
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@var{Dom} $B%j%9%H(B. $B2r$/$Y$-NN0h(B. |
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@var{Iv} $B%j%9%H(B. $BNN0h$N:8C<$G$N=i4|CM(B. |
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@var{Step} $B9o$_I}(B. |
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@end table |
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@itemize @bullet |
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@item tk_pf2.rr, mt_graph.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B. |
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@item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/dx = Pf[0] Y, dY/dy = Pf[1] Y $B$r?tCME*$K2r$$$F%0%i%UI=<($9$k(B. |
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@item @var{Dom} $B$O(B [[xmin,xmax],[ymin,ymax]] $B$N7A<0(B. |
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@item $BNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/tk_pfn.rr} )$B$N(B @code{tk_pfn.testgraph1()}, @code{tk_pfn.testgraph2()} $B$r;2>H(B. |
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@item option $B$H$7$F$O(B fit=1 $B$,$"$k(B. Z$B<4$rE,59D4@0$9$k(B. |
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@item @var{Dom} $B$NC<$O%0%i%UI=<($N;~$K0lIt%+%C%H$5$l$k$N$GCm0U(B. |
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@end itemize |
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@example |
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[1355] import("tk_pf2.rr"); import("mt_graph.rr"); import("tk_pfn.rr"); |
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[1590] tk_pfn.testgraph1(); |
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$B$3$3$G(B testgraph1() $B$O0J2<$N$H$*$j(B. |
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def testgraph1() { |
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/* tk_bess2.bess2pf(1/2); */ |
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Pf= [[[ 0, (1)/(x), 0 ], |
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[ -x, (2*x^2+1)/(x), -2*x ], |
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[ -y, 0, 0 ]], |
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[[ 0, 0, (1)/(y) ], |
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[ -x, 0, 0 ], |
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[ -x, (1/2)/(x), (-1/2)/(y) ]]]; |
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/* tk_bess2.bess2Iv(1/2,[0.5,1.5]); */ |
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Iv = [0.105994,-0.651603,-0.760628]; |
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Dom=[[0.5,1.5],[1.5,9]]; |
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Step = 0.5; |
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return tk_pfn.graph(Pf,Dom,Iv,Step | fit=1); |
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} |
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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 2010-08 $B$K:G=i$NHG$,=q$+$l$?(B. |
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@item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.8 |
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@end itemize |
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@node tk_rk.runge_kutta_4,,, $B<B83E*;EMM$N4X?t(B |
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@subsection @code{tk_rk.runge_kutta_4} |
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@findex tk_rk.runge_kutta_4 |
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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_rk.runge_kutta_4(@var{Eq},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step}) |
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:: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(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 $B%j%9%H$NMWAG$O0J2<$N7A<0(B [@var{X}$B$NCM(B,Y_1$B$NCM(B,Y_2$B$NCM(B, ...]. |
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@var{X} $B$NCM$O8:$C$F$$$/(B. $B$h$C$F%j%9%H$N@hF,$,(B @var{Terminal} $BIU6a$G$N(B @var{Y} $B$NCM(B. |
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@item Eq, X, Y, Step |
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@var{Eq} $B$O(B $BJ}Dx<0$N1&JU(B. $B%j%9%H(B. Y[0]'=Eq[0], Y[1]'=Eq[1], ... $B$G$"$k(B. |
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@var{X} $BFHN)JQ?tL>(B. |
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@var{Y} $B%j%9%H(B. $B=>B0JQ?t$N%j%9%H(B. |
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@var{Step} $B9o$_I}(B. |
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@item X0, Y0, Terminal |
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@var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B. |
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@var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B. |
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@var{Terminal} @var{X} $B$N=*CeE@(B. |
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@end table |
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|
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@itemize @bullet |
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@item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B. |
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@item $B$3$N4X?t$OO"N)>oHyJ,J}Dx<0(B Y[0]'=Eq[0], Y[1]'=Eq[1], ... $B$r?tCME*$K2r$/(B. |
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@item $BNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/src/taka_runge_kutta.rr} )$B$N(B |
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@code{tk_rk.test4()} $B$r;2>H(B. |
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@end itemize |
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|
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@example |
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[1355] import("taka_runge_kutta.rr"); |
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[1590] tk_rk.test4(); |
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$B$3$3$G(B test4() $B$O0J2<$N$H$*$j(B. $B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x) |
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taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B. |
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|
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def test4() { |
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A=runge_kutta_4([y1,-y0],x,[y0,y1],0,[1,0],3.14*2,0.1); |
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taka_plot_auto(A); |
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return(A); |
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} |
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|
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@end example |
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|
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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 2000 $BG/Be$NA0H>$K:G=i$NHG$,=q$+$l$?(B. 2010$BG/(B Pfaffian $B$N?tCM2r@O$N0Y$K:FEY@0Hw(B |
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@item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17 |
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@end itemize |
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|
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@node tk_rk.runge_kutta_4_linear,,, $B<B83E*;EMM$N4X?t(B |
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@subsection @code{tk_rk.runge_kutta_4_linear} |
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@findex tk_rk.runge_kutta_4_linear |
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|
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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_rk.runge_kutta_4_linear(@var{P},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step}) |
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:: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B. $B@~7AJ}Dx<0@lMQ(B. |
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@end table |
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|
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@table @var |
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@item return |
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$B%j%9%H(B $B%j%9%H$NMWAG$O0J2<$N7A<0(B [@var{X}$B$NCM(B,Y_1$B$NCM(B,Y_2$B$NCM(B, ...]. |
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@var{X} $B$NCM$O8:$C$F$$$/(B. $B$h$C$F%j%9%H$N@hF,$,(B @var{Terminal} $BIU6a$G$N(B @var{Y} $B$NCM(B. |
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@item P, X, Y, Step |
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@var{P} $B$O(B $BJ}Dx<0$N1&JU(B. $B%j%9%H(B. Y'=P Y $B$G$"$k(B. $B=>B0JQ?t(B @var{Y} $B$OITMW(B. |
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@var{X} $BFHN)JQ?tL>(B. |
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@var{Y} $B%j%9%H(B. $B=>B0JQ?t$N%j%9%H(B. $B=>B0JQ?t$O<+F0@8@.$5$l$k(B. $B;H$o$l$F$$$J$$$N$G6u%j%9%H$G$h$$(B. |
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@var{Step} $B9o$_I}(B. |
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@item X0, Y0, Terminal |
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@var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B. |
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@var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B. |
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@var{Terminal} @var{X} $B$N=*CeE@(B. |
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@end table |
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|
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@itemize @bullet |
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@item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B. |
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@end itemize |
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|
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@example |
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[1355] import("taka_runge_kutta.rr"); |
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[1590] A=tk_rk.runge_kutta_4_linear([[0,1],[-1,0]],x,[ ], 0, [1,0], 3.14*2, 0.1); |
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[1591] taka_plot_auto(A); |
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|
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$B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x) $B$r2r$$$F$$$k(B. |
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taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B. |
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|
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@end example |
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|
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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 |
| |
ChangeLog |
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@itemize @bullet |
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@item 2010$BG/(B Pfaffian $B$N?tCM2r@O$N0Y$K:F@0Hw(B. |
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@item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17 |
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@end itemize |
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|
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|
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|
| @node fj_simp.simplify,,, $B<B83E*;EMM$N4X?t(B |
@node fj_simp.simplify,,, $B<B83E*;EMM$N4X?t(B |
| @subsection @code{fj_simp.simplify} |
@subsection @code{fj_simp.simplify} |
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