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Diff for /OpenXM/src/asir-doc/exp/exp-ja.texi between version 1.50 and 1.58

version 1.50, 2015/08/08 06:28:38 version 1.58, 2020/09/06 03:26:47
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 %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.49 2014/12/14 01:06:44 takayama Exp $  %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.57 2018/10/17 00:33:49 takayama Exp $
 \input texinfo  \input texinfo-ja
 @iftex  @iftex
 @catcode`@#=6  @catcode`@#=6
 @def@fref#1{@xrefX[#1,,@code{#1},,,]}  @def@fref#1{@xrefX[#1,,@code{#1},,,]}
 @def@b#1{{@bf@gt #1}}  @def@b#1{{@bf #1}}
 @catcode`@#=@other  @catcode`@#=@other
 @end iftex  @end iftex
 @overfullrule=0pt  @overfullrule=0pt
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 @comment --- $B$*$^$8$J$$=*$j(B ---  @comment --- $B$*$^$8$J$$=*$j(B ---
   
 @comment --- GNU info $B%U%!%$%k$NL>A0(B ---  @comment --- GNU info $B%U%!%$%k$NL>A0(B ---
 @setfilename xyzman  @setfilename exp
   @documentlanguage ja
   
 @comment --- $B%?%$%H%k(B ---  @comment --- $B%?%$%H%k(B ---
 @settitle $B<B83E*;EMM$N4X?t(B  @settitle $B<B83E*;EMM$N4X?t(B
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 @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 2014 $BG/(B 12 $B7n(B  @subtitle 2018 $BG/(B 3 $B7n(B
   
 @author  by Risa/Asir committers  @author  by Risa/Asir committers
 @page  @page
 @vskip 0pt plus 1filll  @vskip 0pt plus 1filll
 Copyright @copyright{} Risa/Asir committers  Copyright @copyright{} Risa/Asir committers
 2004--2010. All rights reserved.  2004--2018. All rights reserved.
 @end titlepage  @end titlepage
   
 @comment --- $B$*$^$8$J$$(B ---  @comment --- $B$*$^$8$J$$(B ---
Line 83  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
Line 84  ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe
 @comment --- section ``$B<B83E*4X?t(B'' $B$N(B subsection xyz_abc  @comment --- section ``$B<B83E*4X?t(B'' $B$N(B subsection xyz_abc
 @comment --- subsection xyz_pqr xyz_stu $B$,$"$k(B.  @comment --- subsection xyz_pqr xyz_stu $B$,$"$k(B.
 @menu  @menu
 * quotetotex::  * asir-port.sh asir-install.sh::
 * quotetotex_env::  * asirgui.hnd::
 * objtoquote::  * chdir pwd::
 * copyright::  * copyright::
 * string_to_tb::  * dcurrenttime::
 * tb_to_string::  
 * write_to_tb::  
 * dp_gr_main::  * dp_gr_main::
 * asir-port.sh::  
 * asir-install.sh::  
 * get_struct_name::  
 * get_element_names::  
 * get_element_at::  
 * put_element_at::  
 * dp_initial_term::  * dp_initial_term::
 * dp_order::  * dp_order::
 * dp_weyl_gr_main::  * dp_weyl_gr_main::
 * list::  * eval_quote::
 * mapat::  * f_res::
 * set_print_function::  * fj_simplify.simplify::
 * small_jacobi::  
 * flatten_quote::  * flatten_quote::
 * printf::  * function::
 * fprintf::  * get_struct_name get_element_names get_element_at put_element_at::
 * sprintf::  * getpid::
 * quote_to_funargs::  
 * funargs_to_quote::  
 * get_function_name::  
 * remove_paren::  
 * set_secure_mode::  
 * set_secure_flag::  
 * initialize_static_variable::  * initialize_static_variable::
 * eval_quote::  * list::
   * mapat::
   * nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module)::
   * nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option)::
   * noro_matrix.rr::
   * nqt_comp::
 * nqt_match::  * nqt_match::
 * nqt_match_rewrite::  * nqt_match_rewrite::
   * objtoquote::
   * ot_hgm_ahg.cbase::
   * ot_hgm_ahg.get_mat2::
   * ot_hgm_ahg.hgm_ahg_contiguity::
   * pari setbprec setround todouble mpfr_gamma mpfr_floor mpfr_round::
   * printf fprintf sprintf::
   * qt_is_var qt_is_coef::
 * qt_normalize::  * qt_normalize::
   * qt_rewrite::
 * qt_set_coef::  * qt_set_coef::
 * qt_set_ord::  * qt_set_ord::
 * qt_set_weight::  * qt_set_weight::
 * nqt_comp::  * quote_to_funargs funargs_to_quote remove_paren get_function_name::
 * qt_is_var::  * quotetotex quotetotex_env::
 * qt_is_ceof::  * set_print_function::
 * qt_rewrite::  * set_secure_flag set_secure_mode::
 * asirgui.hnd::  * small_jacobi::
 * noro_matrix.rr:  * string_to_tb tb_to_string write_to_tb::
 * f_res::  * tk_fd.abc2ahg::
 * chdir::  * tk_fd.ahvec_abc::
 * pwd::  * tk_hgpoly.hgpoly::
 * dcurrenttime::  * tk_hgpoly.optip::
 * nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module)::  * tk_jack.zonal::
 * nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option)::  
 * tk_pfn.rkn::  
 * tk_pfn.graph::  * tk_pfn.graph::
   * tk_pfn.rkn::
 * tk_rk.runge_kutta_4::  * tk_rk.runge_kutta_4::
 * tk_rk.runge_kutta_4_linear::  * tk_rk.runge_kutta_4_linear::
 * tk_rk.zonal::  
 * getpid::  
 @end menu  @end menu
   
 @node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B  @node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B
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 @end itemize  @end itemize
   
   
 @node quote_to_funargs,,, $B%/%*!<%H(B  @node quote_to_funargs funargs_to_quote remove_paren get_function_name,,, $B%/%*!<%H(B
 @subsection @code{quote_to_funargs}, @code{funargs_to_quote}, @code{remove_paren}  @subsection @code{quote_to_funargs}, @code{funargs_to_quote}, @code{remove_paren}, @code{get_function_name}
 @findex quote_to_funargs  @findex quote_to_funargs
 @findex funargs_to_quote  @findex funargs_to_quote
 @findex remove_paren  @findex remove_paren
   @findex get_function_name
   
 @table @t  @table @t
 @item quote_to_funargs(@var{q})  @item quote_to_funargs(@var{q})
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 @item  @item
  2004-6-26 $B$N7W;;Be?t%;%_%J!<$K$*$$$F(B, $BCf@n$5$s$,(B simplifier $B$K$D$$$F$$$m$$$mLdBjDs5/(B   2004-6-26 $B$N7W;;Be?t%;%_%J!<$K$*$$$F(B, $BCf@n$5$s$,(B simplifier $B$K$D$$$F$$$m$$$mLdBjDs5/(B
 $B$r$7$?(B ($B7W;;Be?t%;%_%J!<%S%G%*;2>H(B).  $B$r$7$?(B ($B7W;;Be?t%;%_%J!<%S%G%*;2>H(B).
 @item parse/quote.c $B$N(B {\tt strcut fid_spec fid_spec_tab[] }  @item parse/quote.c $B$N(B strcut fid_spec fid_spec_tab[]
 $B$NItJ,$K=q$$$F$"$k7A<0$K(B @code{funargs_to_quote} $B$OJQ49$9$k(B.  $B$NItJ,$K=q$$$F$"$k7A<0$K(B @code{funargs_to_quote} $B$OJQ49$9$k(B.
 @end itemize  @end itemize
   
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 @end itemize  @end itemize
 @comment ****************************************************************  @comment ****************************************************************
   
 @node qt_is_var,,, $B%/%*!<%H(B  @node qt_is_var qt_is_coef,,, $B%/%*!<%H(B
 @subsection @code{qt_is_var}, @code{qt_is_coef}  @subsection @code{qt_is_var}, @code{qt_is_coef}
 @findex qt_is_var  @findex qt_is_var
 @findex qt_is_coef  @findex qt_is_coef
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 @end itemize  @end itemize
   
   
 @node sprintf,,, $BJ8;zNs=hM}(B  @node printf fprintf sprintf,,, $BJ8;zNs=hM}(B
 @subsection @code{printf}, @code{fprintf}, @code{sprintf}  @subsection @code{printf}, @code{fprintf}, @code{sprintf}
   @findex printf
   @findex fprintf
 @findex sprintf  @findex sprintf
   
 @table @t  @table @t
Line 1893  builtin/dp.c 1.49
Line 1892  builtin/dp.c 1.49
   
 @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 ---
 @node asir-install.sh,,, $B%7%9%F%`(B  @node asir-port.sh asir-install.sh,,, $B%7%9%F%`(B
 @subsection @code{asir-port.sh}, @code{asir-install.sh}  @subsection @code{asir-port.sh}, @code{asir-install.sh}
 @findex asir-port.sh  @findex asir-port.sh
 @findex asir-install.sh  @findex asir-install.sh
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 @comment ****************************************************************  @comment ****************************************************************
   
 @node chdir,,, $B%7%9%F%`(B  @node chdir pwd,,, $B%7%9%F%`(B
 @subsection @code{chdir}, @code{pwd}  @subsection @code{chdir}, @code{pwd}
 @findex chdir  @findex chdir
 @findex pwd  @findex pwd
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 @node $B8@8l(B,,, $B<B83E*;EMM$N4X?t(B  @node $B8@8l(B,,, $B<B83E*;EMM$N4X?t(B
 @section $B8@8l(B  @section $B8@8l(B
   
 @node get_struct_name,,, $B8@8l(B  @node get_struct_name get_element_names get_element_at put_element_at,,, $B8@8l(B
 @subsection @code{get_struct_name}, @code{get_element_names}, @code{get_element_at}, @code{put_element_at}  @subsection @code{get_struct_name}, @code{get_element_names}, @code{get_element_at}, @code{put_element_at}
 @findex get_struct_name  @findex get_struct_name
 @findex get_element_names  @findex get_element_names
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Line 2438  ChangeLog
 @end itemize  @end itemize
   
   
 @node set_secure_flag,,, $B8@8l(B  @node set_secure_flag set_secure_mode,,, $B8@8l(B
 @subsection @code{set_secure_flag}, @code{set_secure_mode}  @subsection @code{set_secure_flag}, @code{set_secure_mode}
 @findex set_secure_flag  @findex set_secure_flag
 @findex set_secure_mode  @findex set_secure_mode
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 @comment ****************************************************************  @comment ****************************************************************
   
   @node function,,, $B8@8l(B
   @subsection @code{function}
   @findex function
   
   @table @t
   @item function $B@k8@$9$k$3$H$K$h$jH!?t7A<0$NITDj85$r@8@.$G$-$k(B.
   @end table
   
   @comment --- $B@bL@(B ---
   @table @t
   @item function $B@k8@$9$k$3$H$K$h$jH!?t7A<0$NITDj85$r@8@.$G$-$k(B.
   @item $BHyJ,H!?t(B diff $B$O$3$NH!?t7A<0$NITDj85$NHyJ,$r$d$O$jH!?t7A<0$NITDj85$H$7$F@8@.$9$k(B.
   $B$?$H$($P(B f@{1,2@}(x,y) $B$O(B f $B$r(B x $B$K$D$$$F0l3,JPHyJ,(B, y $B$K$D$$$F(B 2$B3,JPHyJ,$7$?$b$N(B.
   @item diff $B$O9g@.4X?t$H$7$F$N=hM}$b9T$&(B.
   @end table
   
   
   @example
   [1915] function f(x,y);
   [1916] F=f(f(x,y),y)$
   [1917] diff(F,y);
   f@{1,0@}(f(x,y),y)*f@{0,1@}(x,y)+f@{0,1@}(f(x,y),y)
   [1918] vtype(f(p,q));
   2
   [1919] deg(diff(F,y),f@{0,1@}(x,y));
   1
   @end example
   
   @xref{vtype}
   @xref{diff}
   
   @comment --- ChangeLog
   @noindent
   ChangeLog
   @itemize @bullet
   @item  $B$$$D$N(B commit $B$GF3F~$5$l$?$+ITL@(B.
   @end itemize
   
   @comment ****************************************************************
   
 @node $B?tO@!&Be?t(B,,, $B<B83E*;EMM$N4X?t(B  @node $B?tO@!&Be?t(B,,, $B<B83E*;EMM$N4X?t(B
 @section $B?tO@!&Be?t(B  @section $B?tO@!&Be?t(B
   
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 @comment --- $B4X?t$N4JC1$J@bL@(B ---  @comment --- $B4X?t$N4JC1$J@bL@(B ---
 @table @t  @table @t
 @item nk_restriction.restriction(@var{Id}, @var{VL}, @var{DVL}, @var{W})  @item nk_restriction.restriction(@var{Id}, @var{VL}, @var{DVL}, @var{W})
 :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9!#(B  :: D $B2C72(B M = D / @var{Id} ($B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id}) $B$KBP$7$F(B,
   $B=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9(B.
 @end table  @end table
   
 @comment --- $B0z?t$N4JC1$J@bL@(B ---  @comment --- $B0z?t$N4JC1$J@bL@(B ---
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Line 2786  ChangeLog
   
 @itemize @bullet  @itemize @bullet
 @item  @item
 @var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(B  @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
 ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)  ($B$9$J$o$A(B, @code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
 @item  @item
 $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&!#(B  $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&(B.
 $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B  $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B,
 x,y $B$K$D$$$F@)8B$r9T$&!#(B  x,y $B$K$D$$$F@)8B$r9T$&(B.
 @end itemize  @end itemize
   
 $B0J2<$O!"%$%G%"%k(B  $B0J2<$O(B, $B%$%G%"%k(B
 @iftex  @iftex
 @tex  @tex
 $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $  $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
 @end tex  @end tex
 $B$N(B  $B$H$*$$$?;~(B, D $B2C72(B
 @tex  @tex $M = D / I$ @end tex
 $x$  $B$N(B
 @end tex  @tex $x$ @end tex
 @end iftex  @end iftex
 @ifinfo  @ifinfo
 I = D . @{ x dx -1, y dy - 1 @} $B$N(B x  I = D . @{ x dx -1, y dy - 1 @} $B$H$*$$$?;~(B,
   D $B2C72(B M = D / I $B$N(B x
 @end ifinfo  @end ifinfo
 $B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k!#(B  $B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k(B.
 @example  @example
 [1432] nk_restriction.restriction([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);  [1432] nk_restriction.restriction([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
 -- generic_bfct_and_gr :0.001sec(0.001629sec)  -- generic_bfct_and_gr :0.001sec(0.001629sec)
Line 2777  B_@{S0@} length : 2
Line 2818  B_@{S0@} length : 2
 -- fctr(BF) + base :0.000999sec(0.0005109sec)  -- fctr(BF) + base :0.000999sec(0.0005109sec)
 [[y*dy-1,(y*dy-1)*dx,-1],[[1],[0]]]  [[y*dy-1,(y*dy-1)*dx,-1],[[1],[0]]]
 @end example  @end example
   $BJV$jCM$NBh(B 1 $BHVL\$NMWAG(B @code{[[1],[0]]]} $B$O(B,
   $B@)8B2C72$N4pDl(B
   @iftex
   @tex $\partial_x^1, \partial_x^0$ @end tex
   $B$r0UL#$7(B,
   $BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@)8B2C72$O(B
   @tex $(y \partial_y - 1, 0), (0, y\partial_y-1), (-1,0)$ @end tex
   @end iftex
   @ifinfo
   dx^1, dx^0
   $B$r0UL#$7(B,
   $BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@)8B2C72$O(B
   (y dy - 1, 0), (0, ydy-1), (-1,0)
   @end ifinfo
   $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
   
   
 @node nk_restriction.restriction_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B  @node nk_restriction.restriction_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
 @subsection @code{nk_restriction.restriction_ideal}  @subsection @code{nk_restriction.restriction_ideal}
 @comment --- $B:w0zMQ%-!<%o!<%I(B  @comment --- $B:w0zMQ%-!<%o!<%I(B
Line 2787  B_@{S0@} length : 2
Line 2842  B_@{S0@} length : 2
 @comment --- $B4X?t$N4JC1$J@bL@(B ---  @comment --- $B4X?t$N4JC1$J@bL@(B ---
 @table @t  @table @t
 @item nk_restriction.restriction_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})  @item nk_restriction.restriction_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
 :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B%$%G%"%k$rJV$9!#(B  :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B%$%G%"%k$rJV$9(B.
 @end table  @end table
   
 @comment --- $B0z?t$N4JC1$J@bL@(B ---  @comment --- $B0z?t$N4JC1$J@bL@(B ---
Line 2804  B_@{S0@} length : 2
Line 2859  B_@{S0@} length : 2
   
 @itemize @bullet  @itemize @bullet
 @item  @item
 @var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(B  @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
 ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)  ($B$9$J$o$A(B, @code{[1,1,0,0,0]} $B$O(B OK $B$@$,(B, @code{[1,0,1,0,0]} $B$O%@%a(B)
 @item  @item
 $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&!#(B  $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&(B.
 $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B  $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B,
 x,y $B$K$D$$$F@)8B$r9T$&!#(B  x,y $B$K$D$$$F@)8B$r9T$&(B.
 @end itemize  @end itemize
   
 $B0J2<$O!"%$%G%"%k(B  $B0J2<$O(B, $B%$%G%"%k(B
 @iftex  @iftex
 @tex  @tex $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $ @end tex
 $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $  
 @end tex  
 $B$N(B  $B$N(B
 @tex  @tex $x$ @end tex
 $x$  
 @end tex  
 @end iftex  @end iftex
 @ifinfo  @ifinfo
 I = D . @{ x dx -1, y dy - 1 @} $B$N(B x  I = D . @{ x dx -1, y dy - 1 @} $B$N(B x
Line 2845  B_@{S0@} length : 2
Line 2896  B_@{S0@} length : 2
 @comment --- $B4X?t$N4JC1$J@bL@(B ---  @comment --- $B4X?t$N4JC1$J@bL@(B ---
 @table @t  @table @t
 @item nk_restriction.integration(@var{Id}, @var{VL}, @var{DVL}, @var{W})  @item nk_restriction.integration(@var{Id}, @var{VL}, @var{DVL}, @var{W})
 :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9!#(B  :: D $B2C72(B M = D / @var{Id} ($B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id}) $B$KBP$7$F(B, $B=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9(B.
 @end table  @end table
   
 @comment --- $B0z?t$N4JC1$J@bL@(B ---  @comment --- $B0z?t$N4JC1$J@bL@(B ---
Line 2865  B_@{S0@} length : 2
Line 2916  B_@{S0@} length : 2
 @comment --- @bullet $B$O9uE@IU$-(B ---  @comment --- @bullet $B$O9uE@IU$-(B ---
 @itemize @bullet  @itemize @bullet
 @item  @item
 @var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(B  @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
 ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)  ($B$9$J$o$A(B, @code{[1,1,0,0,0]} $B$O(B OK $B$@$,(B, @code{[1,0,1,0,0]} $B$O%@%a(B)
 @item  @item
 $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&!#(B  $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&(B.
 $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B  $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B,
 x,y $B$K$D$$$F@QJ,$r9T$&!#(B  x,y $B$K$D$$$F@QJ,$r9T$&(B.
 @end itemize  @end itemize
   
 $B0J2<$O!"%$%G%"%k(B  $B0J2<$O(B, $B%$%G%"%k(B
 @iftex  @iftex
 @tex  @tex $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\}$ @end tex
 $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $  $B$H$*$$$?;~(B, D $B2C72(B
 @end tex  @tex $M = D / I$ @end tex
 $B$N(B  $B$N(B
 @tex  @tex $t$ @end tex
 $t$  
 @end tex  
 @end iftex  @end iftex
 @ifinfo  @ifinfo
 I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t  I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @}
   $B$H$*$$$?;~(B, D $B2C72(B M = D / I $B$N(B t
 @end ifinfo  @end ifinfo
 $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6])  $B$K$D$$$F$N@QJ,2C72$r7W;;$7$?Nc$G$"$k(B. ([SST, Ex5.5.2, Ex5.5.6])
 @example  @example
 [1351] nk_restriction.integration([2*t*dx+dt,2*x*dx+t*dt+2],[t,x],  [1351] nk_restriction.integration([2*t*dx+dt,2*x*dx+t*dt+2],[t,x],
 [dt,dx],[1,0]);  [dt,dx],[1,0]);
Line 2897  B_@{S0@} length : 2
Line 2947  B_@{S0@} length : 2
 -- fctr(BF) + base :0.001sec(0.0006731sec)  -- fctr(BF) + base :0.001sec(0.0006731sec)
 [[4*x*dx^2+6*dx,-4*t*x*dx^2-6*t*dx,2*x*dx+1,-2*t*x*dx,2*t*dx],[[1],[0]]]  [[4*x*dx^2+6*dx,-4*t*x*dx^2-6*t*dx,2*x*dx+1,-2*t*x*dx,2*t*dx],[[1],[0]]]
 @end example  @end example
   $BJV$jCM$NBh(B 1 $BHVL\$NMWAG(B @code{[[1],[0]]]} $B$O(B,
   $B@QJ,2C72$N4pDl(B
   @iftex
   @tex $t^1, t^0$ @end tex
   @end iftex
   @ifinfo
   t^1, t^0
   @end ifinfo
   $B$r0UL#$7(B,
   $BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@QJ,2C72$O(B
   @iftex
   @tex $(4 x \partial_x^2 + 6 \partial_x, 0), (0, -4 x \partial_x^2 - 6 \partial_x),
   (0, -2 x \partial_x), (0, 2 \partial_x)$ @end tex
   @end iftex
   @ifinfo
   (4 x dx^2 + 6 dx, 0), (0, -4 x dx^2 - 6 dx),
   (0, -2 x dx), (0, 2 dx)
   @end ifinfo
   $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
   
 @node nk_restriction.integration_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B  @node nk_restriction.integration_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
 @subsection @code{nk_restriction.integration_ideal}  @subsection @code{nk_restriction.integration_ideal}
Line 2906  B_@{S0@} length : 2
Line 2975  B_@{S0@} length : 2
 @comment --- $B4X?t$N4JC1$J@bL@(B ---  @comment --- $B4X?t$N4JC1$J@bL@(B ---
 @table @t  @table @t
 @item nk_restriction.integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})  @item nk_restriction.integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
 :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,%$%G%"%k$rJV$9!#(B  :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,%$%G%"%k$rJV$9(B.
 @end table  @end table
   
 @comment --- $B0z?t$N4JC1$J@bL@(B ---  @comment --- $B0z?t$N4JC1$J@bL@(B ---
Line 2926  B_@{S0@} length : 2
Line 2995  B_@{S0@} length : 2
 @comment --- @bullet $B$O9uE@IU$-(B ---  @comment --- @bullet $B$O9uE@IU$-(B ---
 @itemize @bullet  @itemize @bullet
 @item  @item
 @var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(B  @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
 ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)  ($B$9$J$o$A(B, @code{[1,1,0,0,0]} $B$O(B OK $B$@$,(B, @code{[1,0,1,0,0]} $B$O%@%a(B)
 @item  @item
 $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&!#(B  $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&(B.
 $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B  $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B,
 x,y $B$K$D$$$F@QJ,$r9T$&!#(B  x,y $B$K$D$$$F@QJ,$r9T$&(B.
 @end itemize  @end itemize
   
 $B0J2<$O!"%$%G%"%k(B  $B0J2<$O(B, $B%$%G%"%k(B
 @iftex  @iftex
 @tex  @tex
 $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $  $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $
 @end tex  @end tex
 $B$N(B  $B$N(B
 @tex  @tex $t$ @end tex
 $t$  
 @end tex  
 @end iftex  @end iftex
 @ifinfo  @ifinfo
 I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t  I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t
 @end ifinfo  @end ifinfo
 $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6])  $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k(B. ([SST, Ex5.5.2, Ex5.5.6])
 @example  @example
 [1431]  nk_restriction.integration_ideal([2*t*dx+dt,t*dt+2*x*dx+2],[t,x],  [1431]  nk_restriction.integration_ideal([2*t*dx+dt,t*dt+2*x*dx+2],[t,x],
 [dt,dx],[1,0]);  [dt,dx],[1,0]);
Line 2958  B_@{S0@} length : 2
Line 3025  B_@{S0@} length : 2
 -- fctr(BF) + base :0.001sec(0.001091sec)  -- fctr(BF) + base :0.001sec(0.001091sec)
 -- integration_ideal_internal :0.002sec(0.001879sec)  -- integration_ideal_internal :0.002sec(0.001879sec)
 [2*x*dx+1]  [2*x*dx+1]
 [1432]  
 @end example  @end example
   
 @node nk_restriction.ann_mul,,, D $B2C72$N@)8B$K4X$9$k4X?t(B  @node nk_restriction.ann_mul,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
Line 3103  $J$
Line 3169  $J$
 $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])  $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
 @end iftex  @end iftex
 @ifinfo  @ifinfo
 t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a}  t^@{b-1@} (1-t)^@{c-b-1@} (1-xt)^@{-a@}
 $B$N(B annihilator  $B$N(B annihilator
 I = D . @{ x(1-x)dx^2+((1-t)dt-(a+b+1)x+c-1)dx-ab,  I = D . @{ x(1-x)dx^2+((1-t)dt-(a+b+1)x+c-1)dx-ab,
  (1-t)x dx+t(1-t)dt+(2-c)t+b-1, (xt-1)dx+at @}   (1-t)x dx+t(1-t)dt+(2-c)t+b-1, (xt-1)dx+at @}
Line 3120  I = D . @{ x(1-x)dx^2+((1-t)dt-(a+b+1)x+c-1)dx-ab,
Line 3186  I = D . @{ x(1-x)dx^2+((1-t)dt-(a+b+1)x+c-1)dx-ab,
 -- generic_bfct_and_gr :0.008001sec(0.006181sec)  -- generic_bfct_and_gr :0.008001sec(0.006181sec)
 generic bfct : [[-1,1],[s,1],[s-a+c-1,1]]  generic bfct : [[-1,1],[s,1],[s-a+c-1,1]]
 S0 : 0  S0 : 0
 B_{S0} length : 1  B_@{S0@} length : 1
 -- fctr(BF) + base :0sec(0.003848sec)  -- fctr(BF) + base :0sec(0.003848sec)
 -- integration_ideal_internal :0sec(0.07707sec)  -- integration_ideal_internal :0sec(0.07707sec)
 [[(x^2-x)*dx^2+((a+b+1)*x-c)*dx+b*a],[[[[dt,(-t+1)*dx]],1]]]  [[(x^2-x)*dx^2+((a+b+1)*x-c)*dx+b*a],[[[[dt,(-t+1)*dx]],1]]]
Line 3240  I = < dt +(3t^2-1)x, dx+t^3-t >
Line 3306  I = < dt +(3t^2-1)x, dx+t^3-t >
 -- generic_bfct_and_gr :0.012sec(0.0129sec)  -- generic_bfct_and_gr :0.012sec(0.0129sec)
 generic bfct : [[1,1],[s,1],[s-2,1]]  generic bfct : [[1,1],[s,1],[s-2,1]]
 S0 : 2  S0 : 2
 B_{S0} length : 3  B_@{S0@} length : 3
 -- fctr(BF) + base :0.008sec(0.007395sec)  -- fctr(BF) + base :0.008sec(0.007395sec)
 -- integration_ideal_internal :0.012sec + gc : 0.016sec(0.04311sec)  -- 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]  [-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]
Line 3295  $ I = \langle (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) \rangle
Line 3361  $ I = \langle (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) \rangle
 $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.  $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
 @end iftex  @end iftex
 @ifinfo  @ifinfo
 \sum_{k=a}^b n_C_k  \sum_@{k=a@}^b n_C_k
 $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B  $B$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) >  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.  $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
Line 3311  I = < (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) >
Line 3377  I = < (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) >
 -- generic_bfct_and_gr :0.01sec(0.007085sec)  -- generic_bfct_and_gr :0.01sec(0.007085sec)
 generic bfct : [[1,1],[s,1]]  generic bfct : [[1,1],[s,1]]
 S0 : 0  S0 : 0
 B_{S0} length : 1  B_@{S0@} length : 1
 -- fctr(BF) + base :0.003333sec(0.001785sec)  -- fctr(BF) + base :0.003333sec(0.001785sec)
 -- restriction_ideal_internal :0sec(0.002336sec)  -- restriction_ideal_internal :0sec(0.002336sec)
 [[(en-2)*n+en-2],[[[[ek-1,[(-en+1)*n-en+1,1]]],1]]]  [[(en-2)*n+en-2],[[[[ek-1,[(-en+1)*n-en+1,1]]],1]]]
 @end example  @end example
   
   @node nk_restriction.module_restriction,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
   @subsection @code{nk_restriction.module_restriction}
   @comment --- $B:w0zMQ%-!<%o!<%I(B
   @findex nk_restriction.module_restriction
   
   @comment --- $B4X?t$N4JC1$J@bL@(B ---
   @table @t
   @item nk_restriction.module_restriction(@var{M}, @var{VL}, @var{DVL}, @var{W})
   :: D $B2C72(B D^r/@var{M} (@var{M} $B$O(B D^r $B$NItJ,2C72(B) $B$N=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9(B.
   @end table
   
   @comment --- $B0z?t$N4JC1$J@bL@(B ---
   @table @var
   @item M
   D $B<+M32C72(B D^r $B$NItJ,2C72(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
   @end table
   
   @itemize @bullet
   @item
   @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
   @comment{($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)}
   $B8=:_$N$H$3$m(B, 1 $BJQ?t$K$D$$$F$@$1@)8B$r$H$k$h$&$K$7$+<BAu$7$F$$$J$$$?$a(B,
   @var{W} $B$O(B 0 $BHVL\$NMWAG$@$1@5$N@0?t$,F~$k(B.
   @item
   $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&(B.
   $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,0,0]} $B$G$"$l$P(B
   x $B$K$D$$$F@)8B$r9T$&(B.
   @end itemize
   
   $B0J2<$O(B, D $B<+M32C72(B
   @iftex
   @tex $D^2$ @end tex
   $B$NItJ,2C72(B
   @tex
   $M = D \cdot \{(\partial_x, \partial_y), (\partial_y, \partial_x), (x,y) \}$
   @end tex
   $B$r$H$j(B, D $B2C72(B
   @tex $D^2 / M$ @end tex
   $B$N(B
   @tex $x$ @end tex
   @end iftex
   @ifinfo
   D^2 $B$NItJ,2C72(B M = D . @{ (dx, dy), (dy, dx), (x, y) @}
   $B$r$H$j(B, D $B2C72(B D^2 / M $B$N(B x
   @end ifinfo
   $B$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k(B.
   @example
   [2691] nk_restriction.module_restriction([[dx,dy],[dy,dx],[x,y]], [x,y], [dx,dy], [1,0]);
   ....
   bfunction :
   s
   [[1,1],[s,1]]
   integer roots :
   [0,0]
   Generators:
   [e1,e2]
   Relations:
   [-8*e2*dy,4*e2*dy^2,-4*e2*dy^3,4*e1*y*dy-4*e1,-4*e1*dy^2,-4*e2,-e2*y*dy^2+2*e2*dy,-e1*y*dy+e1,e1*y*dy-e1]
   [[0,-1],[-dy^2,0],[y*dy-1,0]]
   @end example
   $B@)8B2C72$O(B
   @iftex
   @tex $(0, -1), (-\partial_y^2, 0), (y \partial_y -1 , 0)$ @end tex
   @end iftex
   @ifinfo
   (0, -1), (-dy^2, 0), (y, dy-1, 0)
   @end ifinfo
   $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
   
   @node nk_restriction.module_integration,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
   @subsection @code{nk_restriction.module_integration}
   @comment --- $B:w0zMQ%-!<%o!<%I(B
   @findex nk_restriction.module_integration
   
   @comment --- $B4X?t$N4JC1$J@bL@(B ---
   @table @t
   @item nk_restriction.module_integration(@var{M}, @var{VL}, @var{DVL}, @var{W})
   :: D $B2C72(B D^r/M (@var{M} $B$O(B D^r $B$NItJ,2C72(B) $B$N=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9(B.
   @end table
   
   @comment --- $B0z?t$N4JC1$J@bL@(B ---
   @table @var
   @item M
   D $B<+M32C72(B D^r $B$NItJ,2C72(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
   @end table
   
   @itemize @bullet
   @item
   @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
   @comment{($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)}
   $B8=:_$N$H$3$m(B, 1 $BJQ?t$K$D$$$F$@$1@QJ,$r$H$k$h$&$K$7$+<BAu$7$F$$$J$$$?$a(B,
   @var{W} $B$O(B 0 $BHVL\$NMWAG$@$1@5$N@0?t$,F~$k(B.
   @item
   $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&(B.
   $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,0,0]} $B$G$"$l$P(B
   x $B$K$D$$$F@QJ,$r9T$&(B.
   @end itemize
   
   $B0J2<$O(B, D $B<+M32C72(B
   @iftex
   @tex $D^2$ @end tex
   $B$NItJ,2C72(B
   @tex $M = D \cdot \{(x, y), (y, x), (\partial_x, \partial_y) \}$ @end tex
   $B$r$H$j(B, D $B2C72(B
   @tex $D^2/M$ @end tex
   $B$N(B
   @tex $x$ @end tex
   @end iftex
   @ifinfo
   D^2 $B$NItJ,2C72(B M = D . @{ (x, y), (y, x), (dx, dy) @} $B$r$H$j(B,
   D $B2C72(B D^2 / M $B$N(B x
   @end ifinfo
   $B$K$D$$$F$N@QJ,2C72$r7W;;$7$?Nc$G$"$k(B.
   @example
   [2702] nk_restriction.module_integration([[x,y],[y,x],[dx,dy]], [x,y], [dx,dy], [1,0]);
   ...
   bfunction :
   s
   [[1,1],[s,1]]
   integer roots :
   [0,0]
   Generators:
   [e1,e2]
   Relations:
   [-8*e2*y,-4*e2*y^2,-4*e2*y^3,-4*e1*y*dy-8*e1,-4*e1*y^2,-4*e2,-e2*y^2*dy-4*e2*y,e1*y*dy+2*e1,e1*y*dy+2*e1]
   [[0,-1],[y*dy+2,0],[-y^2,0]]
   @end example
   $B@QJ,2C72$O(B
   @iftex
   @tex $(0, -1), (y \partial_y + 2, 0), (-y^2, 0)$ @end tex
   @end iftex
   @ifinfo
   (0, -1), (y dy + 2, 0), (-y^2, 0)
   @end ifinfo
   $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
   
 @noindent  @noindent
 ChangeLog  ChangeLog
 @itemize @bullet  @itemize @bullet
Line 3326  ChangeLog
Line 3539  ChangeLog
 @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.  @item 2011-08 $B$K(B ost_sum() $B$,DI2C$5$l$?(B. 1.20 $B$r8+$h(B.
   @item 2016-05 $B$K(B module_integration(), module_restriction() $B$,DI2C$5$l$?(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
Line 3426  y $B$NCM$,30B&%k!<%W(B, x $B$NCM$,FbB&%k!<%W$N7A<0$
Line 3640  y $B$NCM$,30B&%k!<%W(B, x $B$NCM$,FbB&%k!<%W$N7A<0$
 [1590] tk_pfn.testgraph1();  [1590] tk_pfn.testgraph1();
   
 $B$3$3$G(B testgraph1() $B$O0J2<$N$H$*$j(B.  $B$3$3$G(B testgraph1() $B$O0J2<$N$H$*$j(B.
 def testgraph1() {  def testgraph1() @{
   /* tk_bess2.bess2pf(1/2); */    /* tk_bess2.bess2pf(1/2); */
   Pf=  [[[ 0, (1)/(x), 0 ],    Pf=  [[[ 0, (1)/(x), 0 ],
          [ -x, (2*x^2+1)/(x), -2*x ],           [ -x, (2*x^2+1)/(x), -2*x ],
Line 3439  def testgraph1() {
Line 3653  def testgraph1() {
   Dom=[[0.5,1.5],[1.5,9]];    Dom=[[0.5,1.5],[1.5,9]];
   Step = 0.5;    Step = 0.5;
   return tk_pfn.graph(Pf,Dom,Iv,Step | fit=1);    return tk_pfn.graph(Pf,Dom,Iv,Step | fit=1);
 }  @}
   
   
 @end example  @end example
Line 3494  ChangeLog
Line 3708  ChangeLog
 $B$3$3$G(B test4() $B$O0J2<$N$H$*$j(B. $B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x)  $B$3$3$G(B test4() $B$O0J2<$N$H$*$j(B. $B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x)
 taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.  taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.
   
 def test4() {  def test4() @{
   A=runge_kutta_4([y1,-y0],x,[y0,y1],0,[1,0],3.14*2,0.1);    A=runge_kutta_4([y1,-y0],x,[y0,y1],0,[1,0],3.14*2,0.1);
   taka_plot_auto(A);    taka_plot_auto(A);
   return(A);    return(A);
 }  @}
   
 @end example  @end example
   
Line 3564  ChangeLog
Line 3778  ChangeLog
   
   
   
 @node fj_simp.simplify,,, $B<B83E*;EMM$N4X?t(B  @node fj_simplify.simplify,,, $B<B83E*;EMM$N4X?t(B
 @subsection @code{fj_simp.simplify}  @subsection @code{fj_simplify.simplify}
 @findex fj_simp.simplify  @findex fj_simplify.simplify
   
 @comment --- $B4X?t$N4JC1$J@bL@(B ---  @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 ---  @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
 @table @t  @table @t
 @item fj_simp.simplify(@var{arg1})  @item fj_simplify.simplify(@var{arg1})
 :: arg1 $B$r4JC12=$9$k(B.  :: arg1 $B$r4JC12=$9$k(B.
 @end table  @end table
   
Line 3583  ChangeLog
Line 3797  ChangeLog
 @end table  @end table
   
 @itemize @bullet  @itemize @bullet
 @item  
 $B8=:_$N%P!<%8%g%s$G$O(B fj_simp.simplify $B$G$J$/(B, $BC1$K(B simplify $B$H$h$V(B.  
 @item  @item
 $B$3$N4X?t$O(B  $B$3$N4X?t$O(B
 Joel S. Cohen, Computer Algebra and Symbolic Computation,  Joel S. Cohen, Computer Algebra and Symbolic Computation,
Line 3598  B.F.Caviness, R.J.Fateman, Simplification of Radical E
Line 3810  B.F.Caviness, R.J.Fateman, Simplification of Radical E
 @end itemize  @end itemize
   
 @example  @example
 load("fj_simplify.rr");  import("fj_simplify.rr");
 [1434] simplify((x^(1/2))^3);  [1434] fj_simplify.simplify((x^(1/2))^3);
 ((x)^(3/2))  ((x)^(3/2))
 [1435] simplify((2^(1/2))^2);  [1435] fj_simplify.simplify((2^(1/2))^2);
 2  2
 [1436] simplify((2+2^(1/2))^3);  [1436] fj_simplify.simplify((2+2^(1/2))^3);
 14*((2)^(1/2))+20  14*((2)^(1/2))+20
 [1437] simplify(exp(x)*exp(-x+y));  [1437] fj_simplify.simplify(exp(x)*exp(-x+y));
 ((@@e)^(y))  ((@@e)^(y))
 @end example  @end example
   
Line 3618  load("fj_simplify.rr");
Line 3830  load("fj_simplify.rr");
 ChangeLog  ChangeLog
 @itemize @bullet  @itemize @bullet
 @item  @item
 $B>-MhE*$K$O(B module $B2=$7$F(B fj_simp module $B$K4^$a$kM=Dj(B.  
 poly_simplify $B$+$i(B fj_simp.simplify $B$r8F$V(B.  
 @item  
 Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification $B$N5!G=(B.  Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification $B$N5!G=(B.
 @item  @item
 $B$3$N4X?t$O(B 2010.01 $B$K(B M.Fujimoto $B$K$h$j:G=i$NHG$,=q$+$l$?(B.  $B$3$N4X?t$O(B 2010.01 $B$K(B M.Fujimoto $B$K$h$j:G=i$NHG$,=q$+$l$?(B.
Line 4053  ChangeLog
Line 4262  ChangeLog
 @end itemize  @end itemize
   
   
 @node pari,,, $B<B83E*;EMM$N4X?t(B  @node pari setbprec setround todouble mpfr_gamma mpfr_floor mpfr_round,,, $B<B83E*;EMM$N4X?t(B
 @subsection @code{pari}, @code{setbprec},@code{setround},@code{todouble},@code{mpfr_gamma},@code{mpfr_floor},@code{mpfr_round},  @subsection @code{pari}, @code{setbprec},@code{setround},@code{todouble},@code{mpfr_gamma},@code{mpfr_floor},@code{mpfr_round},
 @findex pari  @findex pari
 @findex setbprec  @findex setbprec
Line 4131  asir2000/engine/bf.c, asir2000/builtin/parif.c $BEyB?
Line 4340  asir2000/engine/bf.c, asir2000/builtin/parif.c $BEyB?
 @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 ---
 @node xyz_pqr,,, $B<B83E*;EMM$N4X?t(B  @node xyz_pqr syz_stu,,, $B<B83E*;EMM$N4X?t(B
   @comment @menu $B$K$b(B * syz_pqr syz_stu::  $B$HB3$1$F=q$/;v(B. $BJ,$1$F$O$$$1$J$$(B.
 @subsection @code{xyz_pqr}, @code{syz_stu}  @subsection @code{xyz_pqr}, @code{syz_stu}
 @findex xyz_pqr  @findex xyz_pqr
 @findex xyz_stu  @findex xyz_stu

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