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Diff for /OpenXM/src/asir-doc/exp/exp-ja.texi between version 1.49 and 1.52

version 1.49, 2014/12/14 01:06:44 version 1.52, 2016/05/18 11:52:56
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 %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.48 2014/05/29 13:18:18 ohara Exp $  %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.51 2016/05/14 07:55:16 nakayama Exp $
 \input texinfo  \input texinfo
 @iftex  @iftex
 @catcode`@#=6  @catcode`@#=6
Line 2729  ChangeLog
Line 2729  ChangeLog
 @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 ---
Line 2746  ChangeLog
Line 2747  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 2779  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 2803  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 2820  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 2857  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 2877  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 2908  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 2936  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 2956  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 2986  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 3317  B_{S0} length : 1
Line 3344  B_{S0} length : 1
 [[(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
   
   @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.
   
   @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 3498  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 4053  ChangeLog
Line 4226  ChangeLog
 @end itemize  @end itemize
   
   
 @comment -----------  $B0J2<$O8+K\(B. $B>C$9$J(B.  template  @node pari,,, $B<B83E*;EMM$N4X?t(B
   @subsection @code{pari}, @code{setbprec},@code{setround},@code{todouble},@code{mpfr_gamma},@code{mpfr_floor},@code{mpfr_round},
   @findex pari
   @findex setbprec
   @findex setround
   @findex todouble
   @findex mpfr_gamma
   @findex mpfr_floor
   @findex mpfr_round
   
   @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 pari(@var{arg1},@var{arg2},...)
   ::  MPFR $B$G(B pari $B$N4X?t$r(B emulate $B$9$k$+(B ox_pari $B%5!<%P!<$r8F$S=P$9(B.
   @itemx setbprec(@var{arg1})
   @itemx setround(@var{arg1})
      $B4]$a$NJ}K!$N;XDj(B. mpfr $B=`5r(B.
   @itemx todouble(@var{arg1})
   :: bigfloat $B7?$r(B double $B$KJQ49$9$k(B.
   @itemx mpfr_gamma(@var{arg1})
   :: gamma $B4X?t$N7W;;(B.
   @itemx mpfr_floor(@var{arg1})
   ::  floor $B$N7W;;(B.
   @itemx mpfr_round(@var{arg1})
   :: $B4]$a$N7W;;(B.
   @end table
   
   @table @var
   @item return
   $B8e=R(B.
   @item arg1, arg2
   $B8e=R(B.
   @end table
   
   @itemize @bullet
   @item 20150807 $B0J9_$N(B asir $B$G$O(B, bigfloat $B$,(B pari $B$G$O$J$/(B mpfr $B$rMQ$$$F7W;;$5$l$k(B.
   Todo, pari $B$O(B ox_pari $B$r8F$S=P$9$,(B, $B$^$@(B ox_pari $B$KL$<BAu$N5!G=$,B?$/$"$k(B.
   $B6h4V1i;;$X$NBP1~$O9T$C$F$$$J$$(B.
   @item
   pari(floor,@var{arg1}),
   pari(round,@var{arg1}),
   pari(gamma,@var{arg1})
   $B$O(B mpfr $B$G(B pari $B$r(B emulate $B$7$F$$$k$N$G(B, $BF0:n$,0[$J$k(B.
   $BFC$K(B gamma $B$OJ#AG?t$N0z?t$r<u$1<h$i$J$$(B.
   pari $B$N(B floor $B$O7e?t$,B-$j$J$/$J$k$H%(%i!<$G=*N;$7$?$,(B,
   $B$3$N(B floor $B$G$O(B setprec $B$G;XDj$7$?7e?t0JFb$J$i@5$7$/(B floor $B$rLa$9(B.
   Todo, ox_pari  $B$r;XDj$7$F8F$S=P$9J}K!(B.
   @end itemize
   
   @example
   [219] ctrl("bigfloat",1)$
   [220] setprec(100)$
   [221] pari(floor,1111111111111.1+1/10);
   1111111111111
   @end example
   
   @table @t
   @item $B;2>H(B
   @ref{pari}
   @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
   @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
   @noindent
   ChangeLog
   @itemize @bullet
   @item $B$3$l$i$NBgJQ99$O(B 2015-08-03 $B$h$j(B 08-07 $B$N(B asir $B9g=I$G$*$3$J$o$l$?(B.
   $B$^$@:n6HCf(B.  Todo, asirgui $B$X$NBP1~(B. debug, ...
   @item $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B asir2000/builtin/bfaux.c,
   asir2000/engine/bf.c, asir2000/builtin/parif.c $BEyB??t(B.
   @end itemize
   
 @comment ****************************************************************  @comment ****************************************************************
 @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
 @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.
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  Added in v.1.52
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