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Diff for /OpenXM/src/asir-doc/exp/exp-ja.texi between version 1.44 and 1.46

-version 1.44, 2011/12/09 02:18:48
+version 1.46, 2012/09/18 11:41:18
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- %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.43 2011/12/08 06:40:52 nisiyama Exp $
+ %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.45 2012/02/26 01:25:30 takayama Exp $
  \input texinfo
  @iftex
  @catcode`@#=6
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  @title $B<B83E*;EMM$N4X?t(B
  @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B
  @subtitle 1.0 $BHG(B
- @subtitle 2010 $BG/(B 9 $B7n(B
+ @subtitle 2012 $BG/(B 9 $B7n(B
  @author  by Risa/Asir committers
  @page
 Line 138  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
 Line 138  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
 Line 138  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
  * tk_pfn.graph::
  * tk_rk.runge_kutta_4::
  * tk_rk.runge_kutta_4_linear::
+ * tk_rk.zonal::
  @end menu
  @node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B
-Line 1838  builtin/dp.c 1.49
+Line 1839  builtin/dp.c 1.49
 Line 1838  builtin/dp.c 1.49
 Line 1839  builtin/dp.c 1.49
  @table @var
  @item gentrace
  @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B%0%l%V%J!<4pDl$N7W;;7P2a>pJs$r=PNO$9$k(B.
- @item gentsyz
+ @item gensyz
  @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B7W;;$5$l$?%0%l%V%J!<4pDl$KBP$9$k(B syzygy $B$N@8@.7O$r=PNO$9$k(B.
  @item nora
  @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B:G=*%9%F%C%W$GAj8_4JLs$r9T$o$J$$(B.
-Line 3508  Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification
+Line 3509  Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification
 Line 3508  Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification
 Line 3509  Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification
  @item
  $B$3$N4X?t$O(B 2010.01 $B$K(B M.Fujimoto $B$K$h$j:G=i$NHG$,=q$+$l$?(B.
  OpenXM/src/asir-contrib/packages/src/fj_simplify.rr
+ @end itemize
+ @node tk_jack.zonal,,, $B<B83E*;EMM$N4X?t(B
+ @subsection @code{tk_jack.zonal}
+ @findex tk_jack.zonal
+ @comment --- $B4X?t$N4JC1$J@bL@(B ---
+ @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
+ @table @t
+ @item tk_jack.zonel(@var{p},@var{n})
+ :: $BJ,3d(B p $B$KBP$9$k(B n $BJQ?t$N(B zonal $BB?9`<0$r=PNO$9$k(B.
+ @end table
+ @table @var
+ @item return
+ $BB?9`<0(B. x_1, x_2, ... $B$,JQ?t(B.
+ @item p
+ $B?t$N%j%9%H(B. p=[p0,p1,...] $B$N;~(B p0>=p1>=...>0.
+ @item n
+ $B<+A3?t(B
+ @end table
+ @itemize @bullet
+ @item
+ $B$3$N4X?t$O(B
+ Koev-Edelman $B$K$h$k(B Pieri $B7?8x<0$rMQ$$$?(B Jack symmetric function $B$N7W;;(B
+ $B%"%k%4%j%:%`$N<BAu$G$"$k(B.
+ $B>\$7$/$O(B Wikipedia $B1Q8lHG(B Jack symmetric function $B$N9`$r;2>H(B.
+ @item zonal(P,N) = jack(P,N,2) $B$G$"$k(B.
+ @end itemize
+ @example
+ load("tk_jack.rr");
+ [1434] tk_jack.zonal([3,2,1],3);
+ (112*x_3*x_2^2+112*x_3^2*x_2)*x_1^3+(112*x_3*x_2^3+168*x_3^2*x_2^2+112*x_3^3*x_2)*x_1^2+(112*x_3^2*x_2^3+112*x_3^3*x_2^2)*x_1
+ [1435] tk_jack.zonal([1,1],3);
+ (2*x_2+2*x_3)*x_1+2*x_3*x_2
+ [1436]  tk_jack.jack([1,1],3,2);
+ (2*x_2+2*x_3)*x_1+2*x_3*x_2
+ @end example
+ @table @t
+ @item $B;2>H(B
+ @end table
+ @noindent
+ ChangeLog
+ @itemize @bullet
+ @item
+ $B$3$N4X?t$O(B wishart $BJ,I[$K=>$&BP>N9TNs$NBh0l8GM-CM$,(B x $B0J2<$G$"$k3NN($N7W;;$r(B
+ holonomic gradient method $B$G$d$k$?$a$K$=$N=i4|CM$r7W;;$9$k(B C $B$N%W%m%0%i%`$,(B
+ $BI,MW$G$"$C$?(B. $B$=$l$r(B debug $B$9$k$?$a$K$H$j$"$($:=q$$$?$b$N(B.
+ @item $B:GE,2=$r$^$@$^$@$5$\$C$F$k(B.
  @end itemize
  @comment -----------  $B0J2<$O8+K\(B. $B>C$9$J(B.

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