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Diff for /OpenXM/src/asir-doc/exp/exp-ja.texi between version 1.41 and 1.42

-version 1.41, 2010/09/29 00:33:23
+version 1.42, 2011/12/08 06:31:22
 Line 1
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- %% $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 1.41 2010/09/29 00:33:23 takayama Exp $
  \input texinfo
  @iftex
  @catcode`@#=6
 Line 2844  B_@{S0@} length : 2
 Line 2844  B_@{S0@} length : 2
 Line 2844  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$$@bL@(B ---
+ @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
+ @comment --- @bullet $B$O9uE@IU$-(B ---
+ @itemize @bullet
+ @item test_ann_mul(), test_ann_mul2(), test_ann_mul3() $B$r;2>H(B.
+ @end itemize
+ @node nk_restriction (option) ,,, D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N@bL@(B (option)
  @subsection @code{nk_restriction (option)}
  @comment --- $B:w0zMQ%-!<%o!<%I(B
  @findex nk_restriction (option)
-Line 2989  $\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \}
+Line 3022  $\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \}
 Line 2989  $\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \}
 Line 3022  $\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \}
  $B$G$"$k$3$H$r0UL#$9$k(B.
  @end ifinfo
- @node nk_restriction,,, D $B2C72$N@QJ,%$%G%"%k$NHs@F<!ItJ,$K4X$9$k4X?t(B
+ @node nk_restriction.trans_inhomo,,, D $B2C72$N@QJ,%$%G%"%k$NHs@F<!ItJ,$K4X$9$k4X?t(B
  @subsection @code{nk_restriction.trans_inhomo}
  @comment --- $B:w0zMQ%-!<%o!<%I(B
- @findex trans_inhomo
+ @findex nk_restriction.trans_inhomo
  @comment --- $B4X?t$N4JC1$J@bL@(B ---
  @table @t
-Line 3023  nk_restriction.restriction_ideal( ... |inhomo=1); $B$
+Line 3056  nk_restriction.restriction_ideal( ... |inhomo=1); $B$
 Line 3023  nk_restriction.restriction_ideal( ... |inhomo=1); $B$
 Line 3056  nk_restriction.restriction_ideal( ... |inhomo=1); $B$
  @item @var{VL}, @var{DVL}, @var{W} $B$O(B @var{INT} $B$N7W;;$KMQ$$$?$b$N$r$=$N$^$^;HMQ$7$J$1$l$P$J$i$J$$(B.
  @item $B$b$7(B, @var{P} $B$,(B @var{INT[0]} $B$G@8@.$5$l$k@QJ,(B, $B@)8B%$%G%"%k$N85$G$J$$>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, 1992).
+ @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 (1992) $B$NNc(B5.1$B$r7W;;$7$?$b$N$G$"$k(B.
+ @iftex
+ @tex
+ $ \int_0^\infty \exp((-t^3+t)x) dt $
+ @end tex
+ $B$NHs@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.
  @noindent
  ChangeLog

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