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Diff for /OpenXM/src/asir-doc/exp/exp-ja.texi between version 1.42 and 1.44

version 1.42, 2011/12/08 06:31:22 version 1.44, 2011/12/09 02:18:48
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 %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.41 2010/09/29 00:33:23 takayama Exp $  %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.43 2011/12/08 06:40:52 nisiyama Exp $
 \input texinfo  \input texinfo
 @iftex  @iftex
 @catcode`@#=6  @catcode`@#=6
Line 3064  nk_restriction.restriction_ideal( ... |inhomo=1); $B$
Line 3064  nk_restriction.restriction_ideal( ... |inhomo=1); $B$
   
 @comment --- $B4X?t$N4JC1$J@bL@(B ---  @comment --- $B4X?t$N4JC1$J@bL@(B ---
 $B@QJ,NN0h$,6h4V$ND>@Q$G$"$k$h$&$J@QJ,$NK~$?$9(B  $B@QJ,NN0h$,6h4V$ND>@Q$G$"$k$h$&$J@QJ,$NK~$?$9(B
 $B%[%m%N%_%C%/@F<!HyJ,J}Dx<07O$rJV$9(B (Oaku-Shiraki-Takayama, 1992).  $B%[%m%N%_%C%/@F<!HyJ,J}Dx<07O$rJV$9(B (Oaku-Shiraki-Takayama, 2003).
 @table @t  @table @t
 @item nk_restriction.ost_integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})  @item nk_restriction.ost_integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})
 :: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K%7%g!<%H%+%C%HK!$rMQ$$$k(B.  :: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K%7%g!<%H%+%C%HK!$rMQ$$$k(B.
Line 3095  nk_restriction.restriction_ideal( ... |inhomo=1); $B$
Line 3095  nk_restriction.restriction_ideal( ... |inhomo=1); $B$
 @item $B2<C<(B, $B>eC<$KL58BBg$r;XDj$9$k$H$-$O(B, $BJ8;zNs(B  "inf", "+inf", "-inf" $B$rMQ$$$k(B.  @item $B2<C<(B, $B>eC<$KL58BBg$r;XDj$9$k$H$-$O(B, $BJ8;zNs(B  "inf", "+inf", "-inf" $B$rMQ$$$k(B.
 @end itemize  @end itemize
   
 $B0J2<$O(B, Oaku-Shiraki-Takayama (1992) $B$NNc(B5.1$B$r7W;;$7$?$b$N$G$"$k(B.  $B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B5.1$B$r7W;;$7$?$b$N$G$"$k(B.
 @iftex  @iftex
 @tex  @tex
 $ \int_0^\infty \exp((-t^3+t)x) dt $  $ \int_0^\infty \exp((-t^3+t)x) dt $
 @end tex  @end tex
 $B$NHs@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B  $B$NHo@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
 @tex  @tex
 $ I = \langle \partial_t +(3t^2-1)x, \partial_x+t^3-t \rangle $  $ I = \langle \partial_t +(3t^2-1)x, \partial_x+t^3-t \rangle $
 @end tex  @end tex
Line 3135  B_{S0} length : 3
Line 3135  B_{S0} length : 3
 @end example  @end example
 $B$3$N=PNO$O(B, $B@QJ,$rNm2=$9$k%[%m%N%_%C%/7O$G$"$k(B.  $B$3$N=PNO$O(B, $B@QJ,$rNm2=$9$k%[%m%N%_%C%/7O$G$"$k(B.
   
   @node nk_restriction.ost_sum,,, D $B2C72$N@QJ,%$%G%"%k(B
   @subsection @code{nk_restriction.ost_sum}
   @comment --- $B:w0zMQ%-!<%o!<%I(B
   @findex nk_restriction.ost_sum
   
   @comment --- $B4X?t$N4JC1$J@bL@(B ---
   @table @t
   @item nk_restriction.ost_sum(@var{Id}, @var{VL}, @var{DVL}, @var{W})
   :: $BOB$NK~$?$9(B($B@F<!(B/$BHs@F<!(B)$B:9J,J}Dx<07O$rJV$9(B.
   @end table
   
   @comment --- $B0z?t$N4JC1$J@bL@(B ---
   @table @var
   @item Id
   $B%$%G%"%k$N@8@.85$N%j%9%H(B
   @item VL
   $BJQ?t$N%j%9%H(B
   @item DVL
   $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$k:9J,:nMQAG$NJ}$NJQ?t(B)
   @item W
   $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
   @end table
   
   @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
   @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
   @comment --- @bullet $B$O9uE@IU$-(B ---
   @itemize @bullet
   @item Oaku-Shiraki-Takayama (2003) $B$NBh(B6$B@a$N%"%k%4%j%:%`$N<BAu(B.
   @item $B%*%W%7%g%s(B inhomo $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$rM?$($k>pJs$bJV$9(B.
   @end itemize
   
   $B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B6.5$B$NHs@F<!ItJ,$^$G7W;;$7$?$b$N$G$"$k(B.
   @iftex
   @tex
   $ \sum_{k=a}^b {n \choose k} $
   @end tex
   $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
   @tex
   $ I = \langle (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) \rangle $
   @end tex
   $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
   @end iftex
   @ifinfo
   \sum_{k=a}^b n_C_k
   $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
   I = < (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) >
   $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
   @end ifinfo
   @example
   [1871] Id=[(n-k+1)*en-(n+1), (k+1)*ek-(n-k)]$
   [1872] VL=[k,n]$
   [1873] DVL=[ek,en]$
   [1874] W=[1,0]$
   [1875] nk_restriction.ost_sum(Id,VL,DVL,W|inhomo=1);
   -- nd_weyl_gr :0.006667sec(0.004057sec)
   -- weyl_minipoly :0sec(0.001163sec)
   -- generic_bfct_and_gr :0.01sec(0.007085sec)
   generic bfct : [[1,1],[s,1]]
   S0 : 0
   B_{S0} length : 1
   -- fctr(BF) + base :0.003333sec(0.001785sec)
   -- restriction_ideal_internal :0sec(0.002336sec)
   [[(en-2)*n+en-2],[[[[ek-1,[(-en+1)*n-en+1,1]]],1]]]
   @end example
   
   
 @noindent  @noindent
 ChangeLog  ChangeLog
 @itemize @bullet  @itemize @bullet
Line 3142  ChangeLog
Line 3208  ChangeLog
 @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.  @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.
 @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.
 @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

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