===================================================================
RCS file: /home/cvs/OpenXM/src/asir-doc/exp/exp-ja.texi,v
retrieving revision 1.41
retrieving revision 1.47
diff -u -p -r1.41 -r1.47
--- OpenXM/src/asir-doc/exp/exp-ja.texi	2010/09/29 00:33:23	1.41
+++ OpenXM/src/asir-doc/exp/exp-ja.texi	2013/02/18 07:18:32	1.47
@@ -1,4 +1,4 @@
-%% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.40 2010/09/28 07:24:34 takayama Exp $
+%% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.46 2012/09/18 11:41:18 takayama Exp $
 \input texinfo
 @iftex
 @catcode`@#=6
@@ -38,7 +38,7 @@
 @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 2013 $BG/(B 2 $B7n(B
 
 @author  by Risa/Asir committers
 @page
@@ -138,6 +138,8 @@ 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::
+* getpid::
 @end menu
 
 @node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B
@@ -1838,7 +1840,7 @@ 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.
@@ -2093,6 +2095,44 @@ ChangeLog
 @end itemize
 
 
+@node getpid,,, $B%7%9%F%`(B
+@subsection @code{getpid}
+@findex getpid
+
+@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 getpid()
+@end table
+
+@table @var
+@item return
+$B@0?t(B
+@end table
+
+@itemize @bullet
+@item asir $B$N%W%m%;%9HV9f$rLa$9(B.
+@item $B%W%m%;%9HV9f$O(B asir, ox_asir $BEy$GFHN)$7$?%W%m%;%9$KBP$7$F%7%9%F%`Fb$G0l0U=P$"$k(B.
+@end itemize
+
+@example
+[219] getpid()
+3214
+@end example
+
+
+@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
+@comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
+@noindent
+ChangeLog
+@itemize @bullet
+@item $B$3$N4X?t$O(B ox_work_dir() $B4X?t$,0l0U$J:n6H%U%!%$%kL>$rF@$k$?$a$K;H$o$l$F$$$k(B.
+src/asir-contrib/packages/src/misc/rr 1.3,
+asir2000/builtin/file.c 1.28, rat.c 1.5,
+asir2000/parse/puref.c 1.9 $B$r;2>H(B (2013/02/15, 18).
+@end itemize
+
+
 @comment ****************************************************************
 
 
@@ -2844,7 +2884,40 @@ B_@{S0@} length : 2
 [1432]
 @end example
 
-@node nk_restriction,,, D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N@bL@(B (option)
+@node nk_restriction.ann_mul,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
+@subsection @code{nk_restriction.ann_mul}
+@comment --- $B:w0zMQ%-!<%o!<%I(B
+@findex nk_restriction.ann_mul
+
+@comment --- $B4X?t$N4JC1$J@bL@(B ---
+@table @t
+@item nk_restriction.ann_mul(@var{I}, @var{J}, @var{VL}, @var{DVL})
+:: @var{f} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{I},
+@var{g} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$r(B @var{J} $B$H$7$?$H$-(B,
+@var{fg} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$rJV$9(B.
+@end table
+
+@comment --- $B0z?t$N4JC1$J@bL@(B ---
+@table @var
+@item I
+$B%$%G%"%k$N@8@.85$N%j%9%H(B
+@item J
+$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~$9$kHyJ,:nMQAG$NJ}$NJQ?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 test_ann_mul(), test_ann_mul2(), test_ann_mul3() $B$r;2>H(B.
+@end itemize
+
+
+@node nk_restriction (option) ,,, 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)
@@ -2989,10 +3062,10 @@ $\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \}
 $B$G$"$k$3$H$r0UL#$9$k(B.
 @end ifinfo
 
-@node nk_restriction,,, D $B2C72$N@QJ,%$%G%"%k$NHs@F<!ItJ,$K4X$9$k4X?t(B
+@node nk_restriction.trans_inhomo,,, D $B2C72$N@QJ,%$%G%"%k$NHs@F<!ItJ,$K4X$9$k4X?t(B
 @subsection @code{nk_restriction.trans_inhomo}
 @comment --- $B:w0zMQ%-!<%o!<%I(B
-@findex trans_inhomo
+@findex nk_restriction.trans_inhomo
 
 @comment --- $B4X?t$N4JC1$J@bL@(B ---
 @table @t
@@ -3024,6 +3097,150 @@ nk_restriction.restriction_ideal( ... |inhomo=1); $B$
 @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.
 @end itemize
 
+@node nk_restriction.ost_integration_ideal,,, D $B2C72$N@QJ,%$%G%"%k(B
+@subsection @code{nk_restriction.ost_integration_ideal}
+@comment --- $B:w0zMQ%-!<%o!<%I(B
+@findex nk_restriction.ost_integration_ideal
+
+@comment --- $B4X?t$N4JC1$J@bL@(B ---
+$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, 2003).
+@table @t
+@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$$$k(B.
+@item nk_restriction.ost_integration_ideal2(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})
+:: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K@)8B%$%G%"%k$rMQ$$$k(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~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
+@item W
+$B=E$_%Y%/%H%k$rI=$9%j%9%H(B
+@item LB
+$B@QJ,6h4V$N2<C<$rI=$9%j%9%H(B
+@item UB
+$B@QJ,6h4V$N>eC<$rI=$9%j%9%H(B
+@end table
+
+@comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
+@comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
+@comment --- @bullet $B$O9uE@IU$-(B ---
+@itemize @bullet
+@item $B2<C<(B, $B>eC<$KL58BBg$r;XDj$9$k$H$-$O(B, $BJ8;zNs(B  "inf", "+inf", "-inf" $B$rMQ$$$k(B.
+@end itemize
+
+$B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B5.1$B$r7W;;$7$?$b$N$G$"$k(B.
+@iftex
+@tex
+$ \int_0^\infty \exp((-t^3+t)x) dt $
+@end tex
+$B$NHo@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
+@tex
+$ I = \langle \partial_t +(3t^2-1)x, \partial_x+t^3-t \rangle $
+@end tex
+$B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
+@end iftex
+@ifinfo
+\int_0^$B!g(B exp((-t^3+t)x) dt
+$B$NHs@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
+I = < dt +(3t^2-1)x, dx+t^3-t >
+$B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
+@end ifinfo
+@example
+[1871] Id=[dt+(3*t^2-1)*x, dx+t^3-t]$
+[1872] VL=[t,x]$
+[1873] DVL=[dt,dx]$
+[1874] W=[1,0]$
+[1875] nk_restriction.ost_integration_ideal(Id,VL,DVL,W,[0],["inf"]);
+-- nd_weyl_gr :0.008sec(0.006768sec)
+-- weyl_minipoly :0.004001sec(0.003029sec)
+-- generic_bfct_and_gr :0.012sec(0.0129sec)
+generic bfct : [[1,1],[s,1],[s-2,1]]
+S0 : 2
+B_{S0} length : 3
+-- fctr(BF) + base :0.008sec(0.007395sec)
+-- integration_ideal_internal :0.012sec + gc : 0.016sec(0.04311sec)
+[-27*x^3*dx^3-54*x^2*dx^2+(4*x^3+3*x)*dx+4*x^2-3,27*x^2*dx^4+135*x*dx^3+(-4*x^2+105)*dx^2-16*x*dx-8]
+
+
+[1876] nk_restriction.ost_integration_ideal2(Id,VL,DVL,W,[0],["inf"]);
+($BN,(B)
+[27*x^3*dx^3+54*x^2*dx^2+(-4*x^3-3*x)*dx-4*x^2+3,-27*x^2*dx^4-135*x*dx^3+(4*x^2-105)*dx^2+16*x*dx+8]
+@end example
+$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
 ChangeLog
 @itemize @bullet
@@ -3031,6 +3248,7 @@ 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 2010-05 $B$+$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.
+@item 2011-08 $B$K(B ost_sum() $B$,DI2C$5$l$?(B. 1.20 $B$r8+$h(B.
 @end itemize
 
 @node $B$=$NB>(B($BL$J,N`(B),,, $B<B83E*;EMM$N4X?t(B
@@ -3332,7 +3550,60 @@ Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification
 OpenXM/src/asir-contrib/packages/src/fj_simplify.rr
 @end itemize
 
-@comment -----------  $B0J2<$O8+K\(B. $B>C$9$J(B.
+@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.  template
 @comment ****************************************************************
 @comment --- $B"~"~"~"~(B  $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B
 @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.