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); $B$ |
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Line 3064 nk_restriction.restriction_ideal( ... |inhomo=1); $B$ |
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@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); $B$ |
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Line 3095 nk_restriction.restriction_ideal( ... |inhomo=1); $B$ |
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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$$$k(B. |
@item $B2<C<(B, $B>eC<$KL58BBg$r;XDj$9$k$H$-$O(B, $BJ8;zNs(B "inf", "+inf", "-inf" $B$rMQ$$$k(B. |
@end itemize |
@end itemize |
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$B0J2<$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 |
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Line 3135 B_{S0} length : 3 |
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@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. |
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@node nk_restriction.ost_sum,,, D $B2C72$N@QJ,%$%G%"%k(B |
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@subsection @code{nk_restriction.ost_sum} |
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@comment --- $B:w0zMQ%-!<%o!<%I(B |
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@findex nk_restriction.ost_sum |
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@comment --- $B4X?t$N4JC1$J@bL@(B --- |
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@table @t |
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@item nk_restriction.ost_sum(@var{Id}, @var{VL}, @var{DVL}, @var{W}) |
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:: $BOB$NK~$?$9(B($B@F<!(B/$BHs@F<!(B)$B:9J,J}Dx<07O$rJV$9(B. |
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@end table |
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@comment --- $B0z?t$N4JC1$J@bL@(B --- |
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@table @var |
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@item Id |
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$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~$9$k:9J,: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$$@bL@(B --- |
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@comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B --- |
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@comment --- @bullet $B$O9uE@IU$-(B --- |
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@itemize @bullet |
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@item Oaku-Shiraki-Takayama (2003) $B$NBh(B6$B@a$N%"%k%4%j%:%`$N<BAu(B. |
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@item $B%*%W%7%g%s(B inhomo $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$rM?$($k>pJs$bJV$9(B. |
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@end itemize |
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$B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B6.5$B$NHs@F<!ItJ,$^$G7W;;$7$?$b$N$G$"$k(B. |
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@iftex |
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@tex |
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$ \sum_{k=a}^b {n \choose k} $ |
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@end tex |
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$B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B |
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@tex |
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$ I = \langle (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) \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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\sum_{k=a}^b n_C_k |
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$B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B |
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I = < (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) > |
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$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=[(n-k+1)*en-(n+1), (k+1)*ek-(n-k)]$ |
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[1872] VL=[k,n]$ |
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[1873] DVL=[ek,en]$ |
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[1874] W=[1,0]$ |
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[1875] nk_restriction.ost_sum(Id,VL,DVL,W|inhomo=1); |
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-- nd_weyl_gr :0.006667sec(0.004057sec) |
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-- weyl_minipoly :0sec(0.001163sec) |
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-- generic_bfct_and_gr :0.01sec(0.007085sec) |
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generic bfct : [[1,1],[s,1]] |
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S0 : 0 |
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B_{S0} length : 1 |
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-- fctr(BF) + base :0.003333sec(0.001785sec) |
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-- restriction_ideal_internal :0sec(0.002336sec) |
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[[(en-2)*n+en-2],[[[[ek-1,[(-en+1)*n-en+1,1]]],1]]] |
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@end example |
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@noindent |
@noindent |
ChangeLog |
ChangeLog |
@itemize @bullet |
@itemize @bullet |
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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. |
@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. |
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@item 2011-08 $B$K(B ost_sum() $B$,DI2C$5$l$?(B. 1.20 $B$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 |