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Diff for /OpenXM/src/asir-doc/exp/exp-ja.texi between version 1.5 and 1.6

version 1.5, 2004/03/27 05:58:50 version 1.6, 2004/04/16 01:57:51
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 %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.4 2004/03/20 01:09:47 takayama Exp $  %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.5 2004/03/27 05:58:50 takayama Exp $
 \input texinfo  \input texinfo
 @iftex  @iftex
 @catcode`@#=6  @catcode`@#=6
Line 38 
Line 38 
 @title $B<B83E*;EMM$N4X?t(B  @title $B<B83E*;EMM$N4X?t(B
 @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B  @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B
 @subtitle 1.0 $BHG(B  @subtitle 1.0 $BHG(B
 @subtitle 2004 $BG/(B 3 $B7n(B  @subtitle 2004 $BG/(B 4 $B7n(B
   
 @author  by Risa/Asir comitters  @author  by Risa/Asir comitters
 @page  @page
Line 113  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
Line 113  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
 * get_element_names::  * get_element_names::
 * get_element_at::  * get_element_at::
 * put_element_at::  * put_element_at::
   * dp_initial_term::
   * dp_order::
   * dp_weyl_gr_main::
 @end menu  @end menu
   
 @comment --- $B"~"~"~"~(B  $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B  @comment --- $B"~"~"~"~(B  $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B
Line 666  ChangeLog
Line 669  ChangeLog
 @item  OpenXM_contrib2/asir2000/builtin/compobj.c 1.8.  @item  OpenXM_contrib2/asir2000/builtin/compobj.c 1.8.
 @end itemize  @end itemize
   
   @comment --- $B"~"~"~"~(B  $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
   @node dp_weyl_gr_main,,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{dp_weyl_gr_main}
   @findex dp_weyl_gr_main
   
   @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 dp_weyl_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw})
   :: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B.  dp_gr_main $B$HF1$87A<0$G$"$k(B.
   @end table
   
   @table @var
   @item return
   $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
   @item f
   $B%j%9%H(B  ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
   @item vv
   $B%j%9%H(B  ($BJQ?t$N%j%9%H(B)
   @item oo
   $B%j%9%H(B  ($B=g=x$r$"$i$o$9%j%9%H(B)
   @item n
   0 $B$+(B1 (homogenization $B$r$9$k$+(B). [$B%F%9%H$^$@(B]
   @item m
   $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord). [$B%F%9%H$^$@(B]
   @item b
   ???
   @item sw
   Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B. [$B%F%9%H$^$@(B]
   @end table
   
   @itemize @bullet
   @item
    @code{dp_weyl_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
    $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B.   asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
    $B7OE}$@$C$F$$$J$+$C$?(B.
    dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
    $B;XDjJ}K!$K$D$$$F$O(B dp_gr_main $B$N%^%K%e%"%k$r;2>H(B.
   @item
    $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,6v?t$N$H$-$O%o%$%kBe?t(B
    K[x_1, ..., x_n, d_1, ..., d_n]
   $B$G7W;;$,$*$3$J$o$l$k(B. $B%o%$%kBe?t$G$O(B x_i $B$H(B d_i $B$OHs2D49$J3]$1;;5,B'(B
    d_i x_i = x_i d_i +1 $B$r$_$?$7(B, x_i $B$H(B x_j $B$d(B d_i $B$H(B d_j $B$O2D49$G$"$k(B.
    $B$^$?(B i $B$H(B j $B$,0[$J$k>l9g$O(B x_i $B$H(B d_j $B$b2D49$G$"$k(B.
   @item
    $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,4q?t$N$H$-$OF1<!2=%o%$%kBe?t(B
    K[x_1, ..., x_n, d_1, ..., d_n, h]
   $B$G7W;;$,$*$3$J$o$l$k(B. $BF1<!2=%o%$%kBe?t$G$O(B x_i $B$H(B d_i $B$OHs2D49$J3]$1;;5,B'(B
    d_i x_i = x_i d_i + h^2
   $B$r$_$?$7(B, h $B$OG$0U$N85$H2D49(B, $B$=$NB>$NJQ?t$b%o%$%kBe?t$HF1MM$J2D49@-$N5,B'$r$_$?$9(B.
    $B>\$7$/$O(B dp_gr_main $B$G;2>H$7$?(B Saito, Sturmfels, Takayama $B$N652J=q$r$_$h(B.
   @end itemize
   
   @example
   [1220] F=sm1.gkz([ [[1,1,1,1],[0,1,3,4]], [0,0]]);  /* Command in asir-contrib*/
   [[x4*dx4+x3*dx3+x2*dx2+x1*dx1,4*x4*dx4+3*x3*dx3+x2*dx2,-dx1*dx4+dx2*dx3,-dx2^2*dx4+dx1*dx3^2,dx1^2*dx3-dx2^3,-dx2*dx4^2+dx3^3],[x1,x2,x3,x4]]
   [1221] V=[x1,x2,x3,x4,dx1,dx2,dx3,dx4]$
   [1222] dp_weyl_gr_main(F | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
   
   [ 0 0 0 0 1 1 1 1 ]
   [ R R R R R R R R ]
   internal error (SEGV)
   return to toplevel
   
   [1238] FF=map(dp_ptod,F[0],V);
   [(1)*<<1,0,0,0,1,0,0,0>>+(1)*<<0,1,0,0,0,1,0,0>>+(1)*<<0,0,1,0,0,0,1,0>>+(1)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,1,0,0,0,1,0,0>>+(3)*<<0,0,1,0,0,0,1,0>>+(4)*<<0,0,0,1,0,0,0,1>>,0,0,0,0]
   
   [1244] FF=map(dp_ptod,F[0],V);
   [(1)*<<1,0,0,0,1,0,0,0>>+(1)*<<0,1,0,0,0,1,0,0>>+(1)*<<0,0,1,0,0,0,1,0>>+(1)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,1,0,0,0,1,0,0>>+(3)*<<0,0,1,0,0,0,1,0>>+(4)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,0,0,0,0,1,1,0>>+(-1)*<<0,0,0,0,1,0,0,1>>,(1)*<<0,0,0,0,1,0,2,0>>+(-1)*<<0,0,0,0,0,2,0,1>>,(-1)*<<0,0,0,0,0,3,0,0>>+(1)*<<0,0,0,0,2,0,1,0>>,(1)*<<0,0,0,0,0,0,3,0>>+(-1)*<<0,0,0,0,0,1,0,2>>]
   
   dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]);
   
   [1246] dp_weyl_gr_main(F | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
   [ 0 0 0 0 1 1 1 1 ]
   [ R R R R R R R R ]
   internal error (SEGV)
   return to toplevel
   
   @end example
   
   @table @t
   @item $B;2>H(B
   @ref{dp_gr_main}
   @end table
   
   @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
   @noindent
   ChangeLog
   @itemize @bullet
   @item dp_gr_main $B$N%$%s%?%U%'!<%9$,(B dp_weyl_gr_main $B$X$bF3F~$5$l$?(B.
   @item
     OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
   builtin/dp-supp.c 1.32--1.33
   builtin/dp.c 1.49--1.50
   @end itemize
   
   @comment --- $B"~"~"~"~(B  $B4X?t(B dp_initial_term $B$N@bL@(B $B"~"~"~"~(B
   @node dp_initial_term,,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{dp_initial_term}
   @findex dp_initial_term
   
   @comment --- $B4X?t$N4JC1$J@bL@(B ---
   @table @t
   @item dp_initial_term(@var{f} | v=@var{vv}, order=@var{oo})
   :: dp_initial_term $B$OM?$($i$l$?(B weight $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
   @end table
   
   @table @var
   @item return
   $BJ,;6I=8=B?9`<0$^$?$OJ,;6I=8=B?9`<0$N%j%9%H(B.
   @item f
   $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
   @item vv
   $B%j%9%H(B  ($BJQ?t$N%j%9%H(B)
   @item oo
   $B%j%9%H(B  ($B=g=x$r$"$i$o$9%j%9%H(B)
   @end table
   
   @itemize @bullet
   @item
    dp_initial_term $B$OM?$($i$l$?(B weight w $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
    $B$3$l$OB?$/$N652J=q$G(B @tex ${\rm in}_w(f)$ @end tex
    $B$H=q$+$l$F$$$k(B.
   @item
    $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
    $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
    $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
   @item
    $B7k2L$OM?$($i$l$?=g=x$K4X$7$F%=!<%H$5$l$F$k$o$1$G$O$J$$(B.
   @end itemize
   
   @example
   [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
   (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
   [1220] dp_initial_term(F | order=[[1,1,1]]);
   [ 1 1 1 ]
   [ R R R ]
   (1)*<<2,0,0>>+(1)*<<1,1,0>>
   [1221] dp_initial_term(F | v=[x,y,z], order=[[x,1]]);
   [ 1 0 0 ]
   [ R R R ]
   (1)*<<2,0,0>>
   @end example
   
   @table @t
   @item $B;2>H(B
   @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_order}, @ref{dp_hm}
   @end table
   
   @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
   @noindent
   ChangeLog
   @itemize @bullet
   @item
     OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
   builtin/dp-supp.c 1.32
   builtin/dp.c 1.49
   @end itemize
   
   @comment --- $B"~"~"~"~(B  $B4X?t(B dp_order $B$N@bL@(B $B"~"~"~"~(B
   @node dp_order,,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{dp_order}
   @findex dp_order
   
   @comment --- $B4X?t$N4JC1$J@bL@(B ---
   @table @t
   @item dp_order(@var{f} | v=@var{vv}, order=@var{oo})
   :: dp_order $B$OM?$($i$l$?(B weight $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
   @end table
   
   @table @var
   @item return
   $B?t$+?t$N%j%9%H(B
   @item f
   $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
   @item vv
   $B%j%9%H(B  ($BJQ?t$N%j%9%H(B)
   @item oo
   $B%j%9%H(B  ($B=g=x$r$"$i$o$9%j%9%H(B)
   @end table
   
   @itemize @bullet
   @item
    $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
    $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
    $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
   @item
    dp_order $B$OM?$($i$l$?(B weight w $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
    $B$3$l$r(B @tex ${\rm ord}_w(f)$ @end tex
    $B$H=q$/O@J8$d652J=q$b$"$k(B.
   @item
    $B0z?t$,%j%9%H$N>l9g3FMWAG$N<!?t$,7W;;$5$l$k(B.
   @end itemize
   
   @example
   [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
   (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
   [1222] dp_order(F | order=[[1,1,1]]);
   [ 1 1 1 ]
   [ R R R ]
   2
   [1223] dp_order(F | v=[x,y,z], order=[[x,1]]);
   [ 1 0 0 ]
   [ R R R ]
   @end example
   
   @table @t
   @item $B;2>H(B
   @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_initial_term}, @ref{dp_hm}
   @end table
   
   @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
   @noindent
   ChangeLog
   @itemize @bullet
   @item
     OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
   builtin/dp-supp.c 1.32
   builtin/dp.c 1.49
   @end itemize
   
 @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.  @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
 @comment --- $B"~"~"~"~(B  $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B  @comment --- $B"~"~"~"~(B  $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
 @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---  @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
Line 726  ChangeLog
Line 950  ChangeLog
  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B.   $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B.
 @item $B$3$N4X?t$O(B 2000 $B:"$K$O$8$a$F$N%P!<%8%g%s$,=q$+$l$?(B. $B%=!<%9$O(B ppp.c $B$G$"$k(B.  @item $B$3$N4X?t$O(B 2000 $B:"$K$O$8$a$F$N%P!<%8%g%s$,=q$+$l$?(B. $B%=!<%9$O(B ppp.c $B$G$"$k(B.
 @end itemize  @end itemize
   
   
   
 @comment --- $B"~"~"~"~(B  $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B  @comment --- $B"~"~"~"~(B  $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B
   
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