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Diff for /OpenXM/src/asir-doc/exp/exp-ja.texi between version 1.34 and 1.36

version 1.34, 2009/05/16 04:56:32 version 1.36, 2010/02/05 07:45:48
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 %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.33 2009/05/16 03:13:07 ohara Exp $  %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.35 2009/12/09 04:58:29 takayama Exp $
 \input texinfo  \input texinfo
 @iftex  @iftex
 @catcode`@#=6  @catcode`@#=6
Line 1946  ChangeLog
Line 1946  ChangeLog
   
 @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$$$l$P$3$N%U%!%$%k$,:n@.$5$l$k(B.  @item asirgui (Windows $BHG(B) $B$r5/F0$9$k$H(B asirgui.exe $B$N$"$k%U%)%k%@$*$h$S(B $B4D6-JQ?t(B TEMP $B$,Dj5A$5$l$F$$$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 winodw $B$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.
 @end itemize  @end itemize
   
Line 2837  B_@{S0@} length : 2
Line 2837  B_@{S0@} length : 2
 [1432]  [1432]
 @end example  @end example
   
   @node nk_restriction,,, D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N@bL@(B (option)
   @subsection @code{nk_restriction (option)}
   @comment --- $B:w0zMQ%-!<%o!<%I(B
   @findex nk_restriction (option)
   
   @comment --- $B4X?t$N4JC1$J@bL@(B ---
   @table @t
   @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.integration(... | inhomo=@var{n}, param=@var{p}, s0=@var{m})
   @item nk_restriction.integration_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m})
   :: D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N%*%W%7%g%s$N@bL@(B
   @end table
   
   @comment --- $B0z?t$N4JC1$J@bL@(B ---
   @table @var
   @item @var{n}
   0 $B$^$?$O(B 1
   @item @var{p}
   $B%j%9%H(B ($B78?tBN$KB0$9$kJQ?t$N%j%9%H(B)
   @item @var{m}
   $B@0?t(B
   @end table
   
   @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
   @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
   @comment --- @bullet $B$O9uE@IU$-(B ---
   @itemize @bullet
   @item @var{n} $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$N7W;;$r9T$&(B.
   
   restriction_ideal (integration_ideal) $B$K4X$7$F$O(B, $B%$%G%"%k(B @code{I} $B$N(B
   @code{M} $BJQ?t$K$D$$$F$N@)8B(B($B@QJ,(B)$B%$%G%"%k(B @code{J} $B$H(B
   
   @iftex
   @tex
   {\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}
   @end tex
   @end iftex
   @ifinfo
   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
   @end ifinfo
   
   $B$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.
   $B>\$7$$=PNO$N8+J}$K$D$$$F$O(B, $B2<$NNc$d%=!<%9$N(B @code{inhomo_part} $B$N(B
   $B%3%a%s%H$r;2>H(B.
   
   restriction, integration $B$KBP$9$k(B @code{inhomo} $B%*%W%7%g%s$O(B
   restriction_ideal, integration_ideal $B$N%5%V%k!<%A%s$H$7$F$N<B9TMQ$J$N$G(B,
   $B%f!<%6$,L@<(E*$K;HMQ$9$k$3$H$O$J$$(B.
   
   @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.
   $B$^$?(B, ``generic'' $B$G$"$k$3$H$,2>Dj$5$l$k(B.
   $B$D$^$j(B, $B$3$l$i$NJQ?t$K0MB8$9$k$h$&$J(B generic b-$B4X?t$N:,$O(B,
   $B:GBg@0?t:,$G$J$$$H$$$&$3$H$G$"$k(B.
   
   @item @var{param} $B$,;XDj$5$l$k$H(B, generic b-$B4X?t$N7W;;$O(B noro $B$K$h$k(B
   $B9bB.%"%k%4%j%:%`$G$O$J$/(B, $B>C5nK!$,MQ$$$i$l$k(B.
   @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
   $BMxMQ$G$-$k(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.
   @end itemize
   
   $B0J2<$O(B,
   @iftex
   @tex
   $ t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a} $
   @end tex
   $B$N(B annihilator
   @tex
   $I = D \cdot \{ x(1-x) \partial_x^2+((1-t) \partial_t-(a+b+1)x+c-1)
    \partial_x-ab, (1-t)x \partial_x+t(1-t) \partial_t+(2-c)t+b-1,
    (xt-1) \partial_x+at \}$
   @end tex
   $B$N(B
   @tex
   $t$
   @end tex
   $B$K$D$$$F$N@QJ,%$%G%"%k(B
   @tex
   $J$
   @end tex
   $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
   @end iftex
   @ifinfo
   t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a}
   $B$N(B annihilator
   I = D . @{ x(1-x)dx^2+((1-t)dt-(a+b+1)x+c-1)dx-ab,
    (1-t)x dx+t(1-t)dt+(2-c)t+b-1, (xt-1)dx+at @}
   $B$N(B t $B$K$D$$$F$N@QJ,%$%G%"%k(B J
   $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
   @end ifinfo
   @example
   [1555] A=ndbf.ann_n([t,1-t,1-x*t])$
   [1556] I=map(subst,A,s0,b-1,s1,c-b-1,s2,-a);
   [(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]
   [1557] J=nk_restriction.integration_ideal(I,[t,x],[dt,dx],[1,0]|inhomo=1, param=[a,b,c]);
   -- nd_weyl_gr :0sec(0.001875sec)
   -- weyl_minipoly_by_elim :0.008001sec(0.006133sec)
   -- generic_bfct_and_gr :0.008001sec(0.006181sec)
   generic bfct : [[-1,1],[s,1],[s-a+c-1,1]]
   S0 : 0
   B_{S0} length : 1
   -- fctr(BF) + base :0sec(0.003848sec)
   -- integration_ideal_internal :0sec(0.07707sec)
   [[(x^2-x)*dx^2+((a+b+1)*x-c)*dx+b*a],[[[[dt,(-t+1)*dx]],1]]]
   @end example
   @iftex
   $B$3$N=PNO$O(B
   @tex
   $\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \}
   - 1/1 \{ \partial_t (-t+1) \partial_x \} \in I$
   @end tex
   $B$G$"$k$3$H$r0UL#$9$k(B.
   @end iftex
   @ifinfo
   $B$3$N=PNO$O(B
   @{(x^2-x)dx^2+((a+b+1)x-c)dx+ab @} - 1/1 @{ dt (-t+1)dx @} \in I
   $B$G$"$k$3$H$r0UL#$9$k(B.
   @end ifinfo
   
 @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.
 @end itemize  @end itemize
   
 @node $B$=$NB>(B,,, $B<B83E*;EMM$N4X?t(B  @node $B$=$NB>(B,,, $B<B83E*;EMM$N4X?t(B

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