From 79b8f92068f3e6e6fca6bc7b0e79c178845da4ed Mon Sep 17 00:00:00 2001
From: Karl Berry <karl@freefriends.org>
Date: Wed, 7 Apr 2010 22:51:54 +0000
Subject: mfpic4ode update (7apr10)

git-svn-id: svn://tug.org/texlive/trunk@17745 c570f23f-e606-0410-a88d-b1316a301751
---
 .../source/latex/mfpic4ode/mfpic4ode.dtx           | 26 +++++++++++++---------
 1 file changed, 15 insertions(+), 11 deletions(-)

(limited to 'Master/texmf-dist/source/latex/mfpic4ode/mfpic4ode.dtx')

diff --git a/Master/texmf-dist/source/latex/mfpic4ode/mfpic4ode.dtx b/Master/texmf-dist/source/latex/mfpic4ode/mfpic4ode.dtx
index 82b78640c93..f8e337b3df7 100644
--- a/Master/texmf-dist/source/latex/mfpic4ode/mfpic4ode.dtx
+++ b/Master/texmf-dist/source/latex/mfpic4ode/mfpic4ode.dtx
@@ -57,20 +57,22 @@
 %   Right brace   \}     Tilde         \~}
 %
 %
-% \changes{v0.2}{2008/01/03}{First public version}
+% \changes{v0.2}{2008/02/03}{First public version}
 % \changes{v0.3}{2009/04/15}{Added connect environment to paths}
+% \changes{v0.4}{2010/04/07}{Updated documentations}
 %
 % \GetFileInfo{mfpic4ode.dtx}
 %
 % \DoNotIndex{\newcommand,\newenvironment}
 % 
-% \def\fileversion{0.3}
-% \def\filedate{2009/04/15}
+% \def\fileversion{0.4}
+% \def\filedate{2010/04/07}
 %
 % \title{The \textsf{mfpic4ode} package\thanks{This document
-%   corresponds to \textsf{mfpic4ode}~\fileversion, dated \filedate.}}
-% \author{Robert Marik \\ \texttt{marik@mendelu.cz}}
-%
+%     corresponds to \textsf{mfpic4ode}~\fileversion, dated
+%     \filedate.}}  \author{Robert Marik \\ \texttt{marik@mendelu.cz}
+%   \thanks{Supported by the grant FRV\v{S} 99/2008 (Fund for
+%     Developement of Czech Universities).}}
 % \maketitle
 %
 % \section{Introduction}
@@ -79,9 +81,11 @@
 % portraits and integral curves of differential equations and
 % autonomous systems using |mfpic| macros. These macros have been used
 % by the author to prepare some pictures for classrooms and the
-% results seem to be accptable for this purpouse, but always remember
+% results seem to be acceptable for this purpose, but always remember
 % that due to the fixed points arithmetics in Metapost, the error in
-% computations could be significant.
+% computations could be significant. Another excellent tool which can
+% be used to draw trajectories is Sage\TeX{} which gives you full
+% power of computer algebra system Sage in \LaTeX.
 %
 % \section{Usage}
 % You can load the package in \LaTeX{} using standard
@@ -155,7 +159,7 @@
 % \DescribeMacro{\trajectoryRKF\{x0\}\{y0\}} The macros |\trajectory|,
 % |\trajectoryRK| and |\trajectoryRKF| are used for drawing integral
 % curves with initial condition $y(x_0)=y_0$ using Euler, second order
-% Runge-Kutta and fourth order Runge-Kutta methods, respectivelly.
+% Runge-Kutta and fourth order Runge-Kutta methods, respectively.
 % The length of each step is stored in MetaPost variable
 % |ODEstepcount|, the length of each step is in the MetaPost variable
 % |ODEstep|. You can set these variables using |\mfsrc| macro as
@@ -326,7 +330,7 @@
   \trajectoryRKF{#1}{#2}\relax\let\next\ODE@cycle@IC\fi\next}
 \mfsrc{path p,q;color ODEcolorarrow;}
 
-%%% Onedimensional autonomous systems y'=f(y) where  '=d/dx
+%%% One-dimensional autonomous systems y'=f(y) where  '=d/dx
 \def\ODEharrow#1{
   \mfsrc{x1:=#1; 
     if ODErhs(0,x1)>0: x3:=x1+ODEarrowlength else: x3:=x1-ODEarrowlength fi;
@@ -352,7 +356,7 @@
   \draw\arrow\lines{(0,x1),(0,x3)}
 }
 
-%%% Twodimensional autonomous systems  x'=f(x,y), y'=g(x,y) where '=d/dt
+%%% Two-dimensional autonomous systems  x'=f(x,y), y'=g(x,y) where '=d/dt
 \def\ASdefineequations#1#2{\fdef{ASf}{x,y}{#1}\fdef{ASg}{x,y}{#2}}
 
 \def\AStrajectory#1#2{
-- 
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