| version 1.37, 2010/02/06 01:32:31 |
version 1.40, 2010/09/28 07:24:34 |
|
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| %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.36 2010/02/05 07:45:48 nisiyama Exp $ |
%% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.39 2010/07/16 07:55:06 nisiyama Exp $ |
| \input texinfo |
\input texinfo |
| @iftex |
@iftex |
| @catcode`@#=6 |
@catcode`@#=6 |
| Line 2849 B_@{S0@} length : 2 |
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| Line 2849 B_@{S0@} length : 2 |
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| @comment --- $B4X?t$N4JC1$J@bL@(B --- |
@comment --- $B4X?t$N4JC1$J@bL@(B --- |
| @table @t |
@table @t |
| @item nk_restriction.restriction(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}) |
@item nk_restriction.restriction(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}) |
| @item nk_restriction.restriction_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}) |
@item nk_restriction.restriction_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord}) |
| @item nk_restriction.integration(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}) |
@item nk_restriction.integration(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}) |
| @item nk_restriction.integration_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}) |
@item nk_restriction.integration_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord}) |
| :: D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N%*%W%7%g%s$N@bL@(B |
:: D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N%*%W%7%g%s$N@bL@(B |
| @end table |
@end table |
| |
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| Line 2863 B_@{S0@} length : 2 |
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| Line 2863 B_@{S0@} length : 2 |
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| $B%j%9%H(B ($B78?tBN$KB0$9$kJQ?t$N%j%9%H(B) |
$B%j%9%H(B ($B78?tBN$KB0$9$kJQ?t$N%j%9%H(B) |
| @item @var{m} |
@item @var{m} |
| $B@0?t(B |
$B@0?t(B |
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@item @var{b} |
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0, 1, 2, 3 $B$N$$$:$l$+(B |
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@item @var{ord} |
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$B=E$_(B0$B$NJQ?t$KBP$9$k9`=g=x(B |
| @end table |
@end table |
| |
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| @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B --- |
@comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B --- |
| Line 2903 restriction_ideal, integration_ideal $B$N%5%V%k!<%A%s |
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| Line 2907 restriction_ideal, integration_ideal $B$N%5%V%k!<%A%s |
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| @item @var{m} $B$,Ii$G$J$$$H$-(B, $B7W;;$r9T$o$:$K(B s-m $B$r(B generic b-$B4X?t$H$7$F(B |
@item @var{m} $B$,Ii$G$J$$$H$-(B, $B7W;;$r9T$o$:$K(B s-m $B$r(B generic b-$B4X?t$H$7$F(B |
| $B@)8B(B, $B@QJ,Ey$N7W;;$r9T$&(B. |
$B@)8B(B, $B@QJ,Ey$N7W;;$r9T$&(B. |
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@item @var{b} $B$K$h$j(B, $B2C72$N%0%l%V%J4pDl7W;;$K@F<!2=(B, trace $B%"%k%4%j%:%`(B |
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$B$rMQ$$$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.) |
| @end itemize |
@end itemize |
| |
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| $B0J2<$O(B, |
$B0J2<$O(B, |
| Line 2963 $\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \} |
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| Line 2986 $\{(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 |
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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. |
| @item 2010-02-05 $B$K(B 3 $B$D$N(B option (@code{inhomo}, @code{param}, @code{s0}) $B$,DI2C$5$l$?(B. |
@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 |
| |
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| @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 |
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| @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 $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 @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. |
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@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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@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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@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.testgraph(); |
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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 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 fj_simp.simplify,,, $B<B83E*;EMM$N4X?t(B |
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@subsection @code{fj_simp.simplify} |
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@findex fj_simp.simplify |
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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 fj_simp.simplify(@var{arg1}) |
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:: arg1 $B$r4JC12=$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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$BB?9`<0(B, $BM-M}<0(B $B$^$?$O(B quote |
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@item arg1 |
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$BB?9`<0(B $B$^$?$O(B $BM-M}<0(B |
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@end table |
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@itemize @bullet |
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@item |
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$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. |
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@item |
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$B$3$N4X?t$O(B |
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Joel S. Cohen, Computer Algebra and Symbolic Computation, |
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http://web.cs.du.edu/~jscohen/MathematicalMethods/index.htm |
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$B$K5-=R$5$l$F$$$k(B Automatic simplification algorithm $B$H(B |
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B.F.Caviness, R.J.Fateman, Simplification of Radical Expressions (1976) |
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$B$K5-=R$5$l$F$$$k(B radcan $B%"%k%4%j%:%`$N<BAu$G$"$k(B. |
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@item |
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$BJ#AGB?CM4X?t$H$7$F$O(B (x*y)^a = x^a*x^b $B$O0lHL$K$O@.N)$7$J$$$N$G(B, $B7k2L$rJ#AG4X?t$K;H$&$H$-$O(B |
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$BCm0U$,I,MW$G$"$k(B. (x^a = exp(a*log(x)) $B$J$N$G(B) |
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@end itemize |
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@example |
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load("fj_simplify.rr"); |
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[1434] simplify((x^(1/2))^3); |
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((x)^(3/2)) |
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[1435] simplify((2^(1/2))^2); |
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2 |
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[1436] simplify((2+2^(1/2))^3); |
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14*((2)^(1/2))+20 |
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[1437] simplify(exp(x)*exp(-x+y)); |
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((@@e)^(y)) |
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@end example |
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@table @t |
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@item $B;2>H(B |
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@ref{quote} |
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@end table |
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@noindent |
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ChangeLog |
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@itemize @bullet |
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@item |
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$B>-MhE*$K$O(B module $B2=$7$F(B fj_simp module $B$K4^$a$kM=Dj(B. |
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poly_simplify $B$+$i(B fj_simp.simplify $B$r8F$V(B. |
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@item |
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Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification $B$N5!G=(B. |
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@item |
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$B$3$N4X?t$O(B 2010.01 $B$K(B M.Fujimoto $B$K$h$j:G=i$NHG$,=q$+$l$?(B. |
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OpenXM/src/asir-contrib/packages/src/fj_simplify.rr |
| @end itemize |
@end itemize |
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| @comment ----------- $B0J2<$O8+K\(B. $B>C$9$J(B. |
@comment ----------- $B0J2<$O8+K\(B. $B>C$9$J(B. |
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