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Diff for /OpenXM/src/asir-doc/exp/exp-ja.texi between version 1.51 and 1.55

version 1.51, 2016/05/14 07:55:16

version 1.55, 2018/03/27 02:58:46

Line 1

%% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.50 2015/08/08 06:28:38 takayama Exp $

%% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.54 2017/08/31 01:24:33 takayama Exp $

\input texinfo

\input texinfo-ja

@iftex

@catcode`@#=6

@def@fref#1{@xrefX[#1,,@code{#1},,,]}

Line 83 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 --- subsection xyz_pqr xyz_stu $B$,$"$k(B.

@menu

* quotetotex::

* asir-port.sh asir-install.sh::

* quotetotex_env::

* asirgui.hnd::

* objtoquote::

* chdir pwd::

* copyright::

* string_to_tb::

* dcurrenttime::

* tb_to_string::

* write_to_tb::

* 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_order::

* dp_weyl_gr_main::

* list::

* eval_quote::

* mapat::

* f_res::

* set_print_function::

* fj_simp.simplify::

* small_jacobi::

* flatten_quote::

* printf::

* get_struct_name get_element_names get_element_at put_element_at::

* fprintf::

* getpid::

* sprintf::

* quote_to_funargs::

* funargs_to_quote::

* get_function_name::

* remove_paren::

* set_secure_mode::

* set_secure_flag::

* 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_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_rewrite::

* qt_set_coef::

* qt_set_ord::

* 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.rkn::

* 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

Line 401 ChangeLog

Line 395 ChangeLog

@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 funargs_to_quote

@findex remove_paren

@findex get_function_name

@table @t

@item quote_to_funargs(@var{q})

Line 1014 ChangeLog

Line 1009 ChangeLog

@end itemize

@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}

@findex qt_is_var

@findex qt_is_coef

Line 1328 ChangeLog

Line 1323 ChangeLog

@end itemize

@node sprintf,,, $BJ8;zNs=hM}(B

@node printf fprintf sprintf,,, $BJ8;zNs=hM}(B

@subsection @code{printf}, @code{fprintf}, @code{sprintf}

@findex printf

@findex fprintf

@findex sprintf

@table @t

Line 1893 builtin/dp.c 1.49

Line 1890 builtin/dp.c 1.49

@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 ---

@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}

@findex asir-port.sh

@findex asir-install.sh

Line 2002 ChangeLog

Line 1999 ChangeLog

@comment ****************************************************************

@node chdir,,, $B%7%9%F%`(B

@node chdir pwd,,, $B%7%9%F%`(B

@subsection @code{chdir}, @code{pwd}

@findex chdir

@findex pwd

Line 2216 ChangeLog

Line 2213 ChangeLog

@node $B8@8l(B,,, $B<B83E*;EMM$N4X?t(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}

@findex get_struct_name

@findex get_element_names

Line 2439 ChangeLog

Line 2436 ChangeLog

@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}

@findex set_secure_flag

@findex set_secure_mode

Line 2729 ChangeLog

Line 2726 ChangeLog

@comment --- $B4X?t$N4JC1$J@bL@(B ---

@table @t

@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

@comment --- $B0z?t$N4JC1$J@bL@(B ---

Line 2746 ChangeLog

Line 2744 ChangeLog

@itemize @bullet

@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

$B@5$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

$B0J2<$O!"%$%G%"%k(B

$B0J2<$O(B, $B%$%G%"%k(B

@iftex

@tex

$I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $

@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

@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

$B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k!#(B

$B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k(B.

@example

[1432] nk_restriction.restriction([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);

-- generic_bfct_and_gr :0.001sec(0.001629sec)

Line 2779 B_@{S0@} length : 2

Line 2778 B_@{S0@} length : 2

@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

@subsection @code{nk_restriction.restriction_ideal}

@comment --- $B:w0zMQ%-!<%o!<%I(B

Line 2794 B_@{S0@} length : 2

Line 2800 B_@{S0@} length : 2

@comment --- $B4X?t$N4JC1$J@bL@(B ---

@table @t

@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

@comment --- $B0z?t$N4JC1$J@bL@(B ---

Line 2811 B_@{S0@} length : 2

Line 2817 B_@{S0@} length : 2

@itemize @bullet

@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

$B@5$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

$B0J2<$O!"%$%G%"%k(B

$B0J2<$O(B, $B%$%G%"%k(B

@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

@tex

@tex $x$ @end tex

$x$

@end tex

@end iftex

@ifinfo

I = D . @{ x dx -1, y dy - 1 @} $B$N(B x

Line 2852 B_@{S0@} length : 2

Line 2854 B_@{S0@} length : 2

@comment --- $B4X?t$N4JC1$J@bL@(B ---

@table @t

@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

@comment --- $B0z?t$N4JC1$J@bL@(B ---

Line 2872 B_@{S0@} length : 2

Line 2874 B_@{S0@} length : 2

@comment --- @bullet $B$O9uE@IU$-(B ---

@itemize @bullet

@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

$B@5$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

$B0J2<$O!"%$%G%"%k(B

$B0J2<$O(B, $B%$%G%"%k(B

@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

@tex

@tex $t$ @end tex

$t$

@end tex

@end iftex

@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

$B$K$D$$$F$N@QJ,2C72$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

[1351] nk_restriction.integration([2*t*dx+dt,2*x*dx+t*dt+2],[t,x],

[dt,dx],[1,0]);

Line 2906 B_@{S0@} length : 2

Line 2907 B_@{S0@} length : 2

@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

Line 2921 B_@{S0@} length : 2

Line 2933 B_@{S0@} length : 2

@comment --- $B4X?t$N4JC1$J@bL@(B ---

@table @t

@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

@comment --- $B0z?t$N4JC1$J@bL@(B ---

Line 2941 B_@{S0@} length : 2

Line 2953 B_@{S0@} length : 2

@comment --- @bullet $B$O9uE@IU$-(B ---

@itemize @bullet

@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

$B@5$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

$B0J2<$O!"%$%G%"%k(B

$B0J2<$O(B, $B%$%G%"%k(B

@iftex

@tex

$I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $

@end tex

$B$N(B

@tex

@tex $t$ @end tex

$t$

@end tex

@end iftex

@ifinfo

I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t

@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

[1431] nk_restriction.integration_ideal([2*t*dx+dt,t*dt+2*x*dx+2],[t,x],

[dt,dx],[1,0]);

Line 2973 B_@{S0@} length : 2

Line 2983 B_@{S0@} length : 2

-- fctr(BF) + base :0.001sec(0.001091sec)

-- integration_ideal_internal :0.002sec(0.001879sec)

[2*x*dx+1]

[1432]

@end example

@node nk_restriction.ann_mul,,, D $B2C72$N@)8B$K4X$9$k4X?t(B

Line 3332 B_{S0} length : 1

Line 3341 B_{S0} length : 1

[[(en-2)*n+en-2],[[[[ek-1,[(-en+1)*n-en+1,1]]],1]]]

@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

Line 3339 B_{S0} length : 1

Line 3349 B_{S0} length : 1

@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 @var{M} $B$N=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9!#(B

:: 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 Id

@item M

D $B2C72$N@8@.85$N%j%9%H(B

D $B<+M32C72(B D^r $B$NItJ,2C72(B

@item VL

$BJQ?t$N%j%9%H(B

@item DVL

Line 3366 D $B2C72$N@8@.85$N%j%9%H(B

Line 3376 D $B2C72$N@8@.85$N%j%9%H(B

x $B$K$D$$$F@)8B$r9T$&(B.

@end itemize

$B0J2<$O(B, D $B2C72(B

$B0J2<$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

$B$N(B

$B$r$H$j(B, D $B2C72(B

@tex

@tex $D^2 / M$ @end tex

$x$

$B$N(B

@end tex

@tex $x$ @end tex

@end iftex

@ifinfo

I = D . @{ (dx, dy), (dy, dx), (x, y) @} $B$N(B x

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

$B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k!#(B

$B$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]);

....

Line 3394 Relations:

Line 3408 Relations:

[[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

Line 3404 Relations:

Line 3424 Relations:

@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 @var{M} $B$N=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9!#(B

:: 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 Id

@item M

D $B2C72$N@8@.85$N%j%9%H(B

D $B<+M32C72(B D^r $B$NItJ,2C72(B

@item VL

$BJQ?t$N%j%9%H(B

@item DVL

Line 3431 D $B2C72$N@8@.85$N%j%9%H(B

Line 3451 D $B2C72$N@8@.85$N%j%9%H(B

x $B$K$D$$$F@QJ,$r9T$&(B.

@end itemize

$B0J2<$O(B, D $B2C72(B

$B0J2<$O(B, D $B<+M32C72(B

@iftex

@tex

@tex $D^2$ @end tex

$M = D \cdot \{(x, y), (y, x), (\partial_x, \partial_y) \}$

$B$NItJ,2C72(B

@end tex

@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

@tex $x$ @end tex

$x$

@end iftex

@end tex

@ifinfo

I = D . @{ (x, y), (y, x), (dx, dy) @} $B$N(B x

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

$B$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]);

...

Line 3459 Relations:

Line 3481 Relations:

[[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

Line 4198 ChangeLog

Line 4225 ChangeLog

@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},

@findex pari

@findex setbprec

Line 4276 asir2000/engine/bf.c, asir2000/builtin/parif.c $BEyB?

Line 4303 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"~"~"~"~(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 ---

@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}

@findex xyz_pqr

@findex xyz_stu

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