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Diff for /OpenXM/src/asir-doc/exp/exp-ja.texi between version 1.55 and 1.56

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

version 1.56, 2018/03/28 07:44:06

Line 1

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

%% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.55 2018/03/27 02:58:46 takayama Exp $

\input texinfo-ja

@iftex

@catcode`@#=6

Line 38

@title $B<B83E*;EMM$N4X?t(B

@subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(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

@page

@vskip 0pt plus 1filll

@end titlepage

@comment --- $B$*$^$8$J$$(B ---

Line 96 ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvswe

* f_res::

* fj_simp.simplify::

* flatten_quote::

* function::

* get_struct_name get_element_names get_element_at put_element_at::

* getpid::

* initialize_static_variable::

Line 518 ChangeLog

Line 519 ChangeLog

@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

$B$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.

@end itemize

Line 2592 ChangeLog

Line 2593 ChangeLog

@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));

[1919] deg(diff(F,y),f@{0,1@}(x,y));

@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

@section $B?tO@!&Be?t(B

Line 3127 $J$

Line 3168 $J$

$B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])

@end iftex

@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

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 @}

Line 3144 I = D . @{ x(1-x)dx^2+((1-t)dt-(a+b+1)x+c-1)dx-ab,

Line 3185 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 : [[-1,1],[s,1],[s-a+c-1,1]]

S0 : 0

B_{S0} length : 1

B_@{S0@} length : 1

-- fctr(BF) + base :0sec(0.003848sec)

-- integration_ideal_internal :0sec(0.07707sec)

[[(x^2-x)*dx^2+((a+b+1)*x-c)*dx+b*a],[[[[dt,(-t+1)*dx]],1]]]

Line 3264 I = < dt +(3t^2-1)x, dx+t^3-t >

Line 3305 I = < dt +(3t^2-1)x, dx+t^3-t >

-- generic_bfct_and_gr :0.012sec(0.0129sec)

generic bfct : [[1,1],[s,1],[s-2,1]]

S0 : 2

B_{S0} length : 3

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]

Line 3319 $ I = \langle (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) \rangle

Line 3360 $ 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.

@end iftex

@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

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.

Line 3335 I = < (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) >

Line 3376 I = < (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) >

-- generic_bfct_and_gr :0.01sec(0.007085sec)

generic bfct : [[1,1],[s,1]]

S0 : 0

B_{S0} length : 1

B_@{S0@} length : 1

-- fctr(BF) + base :0.003333sec(0.001785sec)

-- restriction_ideal_internal :0sec(0.002336sec)

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

Line 3598 y $B$NCM$,30B&%k!<%W(B, x $B$NCM$,FbB&%k!<%W$N7A<0$

Line 3639 y $B$NCM$,30B&%k!<%W(B, x $B$NCM$,FbB&%k!<%W$N7A<0$

[1590] tk_pfn.testgraph1();

$B$3$3$G(B testgraph1() $B$O0J2<$N$H$*$j(B.

def testgraph1() {

def testgraph1() @{

/* tk_bess2.bess2pf(1/2); */

Pf= [[[ 0, (1)/(x), 0 ],

[ -x, (2*x^2+1)/(x), -2*x ],

Line 3611 def testgraph1() {

Line 3652 def testgraph1() {

Dom=[[0.5,1.5],[1.5,9]];

Step = 0.5;

return tk_pfn.graph(Pf,Dom,Iv,Step | fit=1);

}

@end example

Line 3666 ChangeLog

Line 3707 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)

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);

taka_plot_auto(A);

return(A);

}

@end example

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