OpenXM/src/asir-contrib/packages/doc/dsolv.oxweave - diff

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version 1.1, 2000/02/06 06:39:48

version 1.2, 2000/02/07 04:46:25

Line 1

/* $OpenXM$ */

/* $OpenXM: OpenXM/src/asir-contrib/packages/doc/dsolv.oxweave,v 1.1 2000/02/06 06:39:48 takayama Exp $ */

/* dsolv.oxweave */

/*&eg-texi

@node DSOLV Functions,,, Top

Line 34 is as same as those you can use in the package @code{s

$B$3$N%Q%C%1!<%8$O(B @code{ox_sm1} $B$rMxMQ$7$F$$$k(B.

$B$7$?$,$C$F;HMQ$G$-$kJQ?t$O(B @code{sm1} $B%Q%C%1!<%8$HF1MM$NJQ?t$7$+$D$+$($J$$(B.

@section Functions

@section $BH!?t0lMw(B

Line 67 an infinite loop.

@item This is an implementation of Algorithm 2.3.14 of the book [SST].

If we replace variables x, y, ... in the output by log(x), log(y), ...,

then these polynomials in log are solutions of the system of differential

equations @code{map(subst,@var{f},x,x*dx, y,y*dy, ...)}.

equations @var{f}@code{_(x->x*dx, y->y*dy, ...)}.

@end itemize

Line 99 primary $B$G$J$$>l9g(B, $B$3$NH!?t$OL58B%k!<%W$K$*$

@item $B$3$NH!?t$OK\(B [SST] $B$N(B Algorithm 2.3.14 $B$N<BAu$G$"$k(B.

$B=PNOCf$NJQ?t(B x, y, ... $B$r$=$l$>$l(B log(x), log(y), ..., $B$G$*$-$+$($k$H(B,

$B$3$l$i$N(B log $BB?9`<0$O(B,

@code{map(subst,@var{f},x,x*dx, y,y*dy, ...)} $B$G@8@.$5$l$kHyJ,J}Dx<07O(B

@var{f}@code{_(x->x*dx, y->y*dy, ...)}

$B$G@8@.$5$l$kHyJ,J}Dx<07O(B

$B$N2r$H$J$C$F$$$k(B.

@end itemize