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Joris van der Hoeven
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<TeXmacs|1.0.7.2>
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||||
|
||||
<style|tmdoc>
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||||
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||||
<\body>
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||||
<tmdoc-title|The Asymptote system>
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||||
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||||
<hlink|Asymptote|http://asymptote.sourceforge.net/> is a powerful
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||||
descriptive vector graphics language that provides a natural
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||||
coordinate-based framework for technical drawing.
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||||
|
||||
<tmdoc-copyright|2009|Emmanuël Corcelle>
|
||||
|
||||
<tmdoc-license|Permission is granted to copy, distribute and/or modify this
|
||||
document under the terms of the GNU Free Documentation License, Version 1.1
|
||||
or any later version published by the Free Software Foundation; with no
|
||||
Invariant Sections, with no Front-Cover Texts, and with no Back-Cover
|
||||
Texts. A copy of the license is included in the section entitled "GNU Free
|
||||
Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|language|english>
|
||||
<associate|preamble|false>
|
||||
</collection>
|
||||
</initial>
|
||||
|
|
@ -0,0 +1,86 @@
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|||
<TeXmacs|1.0.2.6>
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||||
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||||
<style|tmdoc>
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||||
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||||
<\body>
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||||
<tmdoc-title|The Axiom system>
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<hlink|Axiom|http://www.nongnu.org/axiom/> is a general purpose Computer
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Algebra system. It is useful for research and development of mathematical
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algorithms. It defines a strongly typed, mathematically correct type
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hierarchy. It has a programming language and a built-in compiler.
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Axiom has been in development since 1973 and was sold as a commercial
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product. It has been released as free software (under a BSD-like license).
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Efforts are underway to extend this software to
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<\itemize>
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<item>Develop a better user interface;
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<item>Make it useful as a teaching tool;
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<item>Develop an algebra server protocol;
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<item>Integrate additional mathematics;
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<item>Rebuild the algebra in a literate programming style;
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<item>Integrate logic programming;
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<item>Develop an Axiom Journal with refereed submissions.
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</itemize>
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Axiom web page : <hlink|http://www.nongnu.org/axiom/|http://www.nongnu.org/axiom/>
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Axiom project : <hlink|http://savannah.nongnu.org/projects/axiom|http://savannah.nongnu.org/projects/axiom>
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||||
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||||
<apply|tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<tmdoc-license|Permission is granted to copy, distribute and/or modify this
|
||||
document under the terms of the GNU Free Documentation License, Version 1.1
|
||||
or any later version published by the Free Software Foundation; with no
|
||||
Invariant Sections, with no Front-Cover Texts, and with no Back-Cover
|
||||
Texts. A copy of the license is included in the section entitled "GNU Free
|
||||
Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
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||||
<associate|odd page margin|30mm>
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||||
<associate|page right margin|30mm>
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||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
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||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
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||||
<associate|page bottom margin|30mm>
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||||
<associate|reduction page top margin|15mm>
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||||
<associate|language|english>
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||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|giac|<tuple|1|?>>
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||||
<associate|yacas|<tuple|5|?>>
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||||
<associate|gtybalt|<tuple|1|?>>
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<associate|qcl|<tuple|6|?>>
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||||
<associate|pari|<tuple|4|?>>
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||||
<associate|r|<tuple|6|?>>
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||||
<associate|toc-1|<tuple|1|?>>
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||||
<associate|maxima|<tuple|3|?>>
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||||
<associate|macaulay2|<tuple|2|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
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||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
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||||
<associate|toc-5|<tuple|5|?>>
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||||
<associate|octave|<tuple|5|?>>
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||||
<associate|toc-6|<tuple|6|?>>
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||||
<associate|toc-7|<tuple|7|?>>
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||||
<associate|toc-8|<tuple|8|?>>
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||||
<associate|toc-9|<tuple|9|?>>
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||||
</collection>
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</references>
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<TeXmacs|1.0.6.4>
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<style|tmdoc>
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||||
<\body>
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||||
<tmdoc-title|The Cadabra system>
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<hlink|Cadabra|http://www.aei.mpg.de/~peekas/cadabra/> is a computer
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algebra system for the manipulation of what could loosely be called
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<em|tensorial expressions>. It is aimed at, though not necessarily
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restricted to, theoretical high-energy physicists. Because of its target
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audience, the program's interface, storage system and underlying philosophy
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differ substantially from other computer algebra systems. Cadabra is
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developed by <hlink|<name|Kasper Peeters>|http://www.aei.mpg.de/~peekas/>
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and distributed under the GPL license.
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<tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<tmdoc-license|Permission is granted to copy, distribute and/or modify this
|
||||
document under the terms of the GNU Free Documentation License, Version 1.1
|
||||
or any later version published by the Free Software Foundation; with no
|
||||
Invariant Sections, with no Front-Cover Texts, and with no Back-Cover
|
||||
Texts. A copy of the license is included in the section entitled "GNU Free
|
||||
Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
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||||
|
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@ -0,0 +1,87 @@
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<TeXmacs|1.0.2.6>
|
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<style|tmdoc>
|
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|
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<\body>
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<tmdoc-title|The <abbr|Dr.> Geo system>
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<hlink|<name|<abbr|Dr.> Geo>|http://www.ofset.org/drgeo> is a <name|Gnome>
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free software created both for the interactive study of Euclidean geometry
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and for a mild introduction to <name|Guile>/<name|Scheme> programming.
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Using <name|<abbr|Dr.> Geo>, you can draw many classical geometric
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contructions and explore their propperties either from the metric point of
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view (measuring angles and length) or from the transformation one (via
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plane trasformations). Each <name|<abbr|Dr.> Geo> figure comes with a logic
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tree which shows all steps towards its construction. The basic geometric
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constructions provided by the software can be extended by the user adding
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macro-constructions.
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<name|<abbr|Dr.> Geo> also offers the possibility to learn
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<name|Guile>/<name|Scheme> programming at a very introductory level. With
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<name|Guile> scripts it is easy to interact with the geometric apparatus by
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implementing, for example, several formulas. In the latest releases,
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<name|<abbr|Dr.> Geo> has been improved on the programming side since it
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||||
can evaluate entire files written in <name|Scheme>. In this way the user
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||||
can take advantage from the typical structures of a high level language,
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like recursive ones for example, to create new kinds of figures.
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||||
|
||||
In <name|<abbr|Dr.> Geo> there are many utilities available to the teacher:
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||||
customization and locking of the user interface, integration in
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<name|<abbr|Dr.> Geo> of a simple text editor, possibility to export
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figures (<LaTeX>, <name|Postscript> and PNG), etc.
|
||||
|
||||
Currently, a project is in progress to have a <TeXmacs> plugin for
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||||
<name|<abbr|Dr.> Geo>. In this way it will be possible to use <TeXmacs> as
|
||||
front-end interface for <name|<abbr|Dr.> Geo> and integrate directly all
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||||
the geometric figures into scientific documents.
|
||||
|
||||
<tmdoc-copyright|1998--2002|Andrea Centomo>
|
||||
|
||||
<tmdoc-license|Permission is granted to copy, distribute and/or modify this
|
||||
document under the terms of the GNU Free Documentation License, Version 1.1
|
||||
or any later version published by the Free Software Foundation; with no
|
||||
Invariant Sections, with no Front-Cover Texts, and with no Back-Cover
|
||||
Texts. A copy of the license is included in the section entitled "GNU Free
|
||||
Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|giac|<tuple|1|?>>
|
||||
<associate|yacas|<tuple|5|?>>
|
||||
<associate|gtybalt|<tuple|1|?>>
|
||||
<associate|qcl|<tuple|6|?>>
|
||||
<associate|pari|<tuple|4|?>>
|
||||
<associate|r|<tuple|6|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|maxima|<tuple|3|?>>
|
||||
<associate|macaulay2|<tuple|2|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|octave|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
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||||
<associate|toc-9|<tuple|9|?>>
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||||
</collection>
|
||||
</references>
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||||
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@ -0,0 +1,58 @@
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|||
<TeXmacs|1.0.2.3>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<expand|tmdoc-title|The Eukleides system>
|
||||
|
||||
<with|color|red|Please complete...>
|
||||
|
||||
<apply|tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|yacas|<tuple|5|?>>
|
||||
<associate|giac|<tuple|1|?>>
|
||||
<associate|gtybalt|<tuple|1|?>>
|
||||
<associate|pari|<tuple|4|?>>
|
||||
<associate|qcl|<tuple|6|?>>
|
||||
<associate|r|<tuple|6|?>>
|
||||
<associate|maxima|<tuple|3|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|macaulay2|<tuple|2|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|octave|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|9|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
|
@ -0,0 +1,28 @@
|
|||
<TeXmacs|1.0.7.2>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<tmdoc-title|The Eukleides system>
|
||||
|
||||
<hlink|Eukleides|http://www.eukleides.org/> is a Euclidean geometry drawing
|
||||
language. It has been designed in order to be close to the traditional
|
||||
language of elementary Euclidean geometry. In many cases, it makes possible
|
||||
to completely avoid the use of Cartesian coordinates.
|
||||
|
||||
<tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<tmdoc-license|Permission is granted to copy, distribute and/or modify this
|
||||
document under the terms of the GNU Free Documentation License, Version 1.1
|
||||
or any later version published by the Free Software Foundation; with no
|
||||
Invariant Sections, with no Front-Cover Texts, and with no Back-Cover
|
||||
Texts. A copy of the license is included in the section entitled "GNU Free
|
||||
Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|language|english>
|
||||
<associate|preamble|false>
|
||||
</collection>
|
||||
</initial>
|
||||
File diff suppressed because one or more lines are too long
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@ -0,0 +1,24 @@
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<TeXmacs|1.0.6.14>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<tmdoc-title|The Feynmf plug-in>
|
||||
|
||||
This plug-in can be used in order to draw Feynman diagrams.
|
||||
|
||||
<tmdoc-copyright|2008|Joris van der Hoeven>
|
||||
|
||||
<tmdoc-license|Permission is granted to copy, distribute and/or modify this
|
||||
document under the terms of the GNU Free Documentation License, Version 1.1
|
||||
or any later version published by the Free Software Foundation; with no
|
||||
Invariant Sections, with no Front-Cover Texts, and with no Back-Cover
|
||||
Texts. A copy of the license is included in the section entitled "GNU Free
|
||||
Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
|
@ -0,0 +1,217 @@
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|||
<TeXmacs|1.0.1.20>
|
||||
|
||||
<style|<tuple|tmdoc|maxima>>
|
||||
|
||||
<\body>
|
||||
<\expand|tmdoc-title>
|
||||
Some hints about output
|
||||
</expand>
|
||||
|
||||
Among the tools packages supported by <TeXmacs> environment here, some
|
||||
experiences have to be kept in mind:
|
||||
|
||||
<\expand|enumerate-roman>
|
||||
<item>Maxima and Yacas are the powerful softwares for symbolic
|
||||
calculation;
|
||||
|
||||
<item>Gnuplot and other CAS's can used to plot the graphs in 2D, 3D and
|
||||
scientific data plots. But the Gnuplot is the best recommended software
|
||||
since the graph that it generates can be directly embedded into the
|
||||
worksheet in <TeXmacs>.
|
||||
|
||||
<item>Also there are many powerful softwares with numerical abilities in
|
||||
Linux world, for example: Octave, Lab, Scilab and R (check your "session
|
||||
options" or the <TeXmacs>_INSTALL/lib exec). But Scilab owns its
|
||||
"terminal session" which is not easily embedded into the <TeXmacs>,
|
||||
Octave is the best choice due to its full accessibility.
|
||||
|
||||
<item>Output format: Postscript format is the best choice as above
|
||||
mentioned. For the Windows user and not heard about this format, HTML
|
||||
format may be the suitable one. But for mathematical document, it is may
|
||||
be a bad news that directly output the HTML from <TeXmacs> is generally
|
||||
non-satisfied. If you want to generate HTML files, <LaTeX>2html maybe
|
||||
have some help. Consider to export <LaTeX> format from <TeXmacs> and use
|
||||
the following latex2html command to translate <TeX> file into HTML and
|
||||
picture files:
|
||||
|
||||
<\code>
|
||||
\<gtr\> latex2html -nonavigation -split 0 filename.tex
|
||||
</code>
|
||||
|
||||
if you want only one HTML file with picture files without navigation
|
||||
icons. Suppose that there are plenty of pictures generated by CAS's in
|
||||
your <TeXmacs> file, some modifications have to be made by your hand. The
|
||||
reason is that no PS Tricks implement yet in latex2html and this is just
|
||||
the <TeX> package used by <TeXmacs> to make in-line Postscript graphs.
|
||||
First capture the pictures by picture capture program, e.g. ksnapshot or
|
||||
GIMP, by CAS's in another xterm and save it as eps format. Then edit the
|
||||
<LaTeX> file, removing all lines including "cat code
|
||||
<with|mode|math|\<cdots\>>" in presume part and adding the eps graphs as
|
||||
follows : \
|
||||
|
||||
<\verbatim>
|
||||
<with|mode|math|\<backslash\>>document[12pt]{article}
|
||||
|
||||
<with|mode|math|\<backslash\>>package[dvips]{graphics}
|
||||
|
||||
\ \ \ <with|mode|math|\<cdots\>>
|
||||
|
||||
% remove all the line beginning with "catcode"
|
||||
|
||||
\ \ \ <with|mode|math|\<cdots\>>\
|
||||
|
||||
<with|mode|math|\<backslash\>>begin{document}
|
||||
|
||||
\ \ \ <with|mode|math|\<cdots\>>
|
||||
|
||||
<with|mode|math|\<backslash\>>begin{center}
|
||||
|
||||
\ \ <with|mode|math|\<backslash\>>resizebox{150mm}{!}{<with|mode|math|\<backslash\>>includegraphics{picture.eps}}
|
||||
|
||||
<with|mode|math|\<backslash\>>end{center}
|
||||
|
||||
\ \ \ <with|mode|math|\<cdots\>>
|
||||
|
||||
<with|mode|math|\<backslash\>>end{document}
|
||||
</verbatim>
|
||||
|
||||
Mainly, add the graphics package and use
|
||||
<with|mode|math|\<backslash\>>include graphics{} to put the graph. And
|
||||
use above latex2html commands to translate the contents. The directory
|
||||
named by its filename will be created with HTML file, and png files.
|
||||
</expand>
|
||||
|
||||
Of course, you can export the worksheet from <TeXmacs> into <LaTeX> format
|
||||
and remake the file by <TeX> system, for example: te<TeX> or Mik<TeX>.
|
||||
Don't forget to put TeXmacs.sty in the search tree of <TeX> and execute
|
||||
<with|color|red|texhash>. This file can be found in the diretory of
|
||||
$<TeXmacs><with|mode|math|\<backslash\>misc\<backslash\>latex.> Then it
|
||||
will be no problem to <with|color|red|<LaTeX>> this tex file into
|
||||
PostScript or PDF format.
|
||||
|
||||
If you are interested in <TeXmacs> and CAS, more tm files can be found at:
|
||||
|
||||
\ \ \ \ \ \ \ \ \ \ \ <with|color|blue|http://math.cgu.edu.tw:8080/Calculus>
|
||||
|
||||
<apply|tmdoc-copyright|2003|Chu-Ching Huang>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
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|
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|
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|
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|
||||
|
||||
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|
||||
<\collection>
|
||||
<associate|toc-10|<tuple|8.2|?>>
|
||||
<associate|toc-11|<tuple|8.3|?>>
|
||||
<associate|gly-1|<tuple|1|?>>
|
||||
<associate|idx-1|<tuple|<uninit>|?>>
|
||||
<associate|idx-2|<tuple|1|?>>
|
||||
<associate|gly-2|<tuple|2|?>>
|
||||
<associate|toc-12|<tuple|8.4|?>>
|
||||
<associate|gly-3|<tuple|3|?>>
|
||||
<associate|toc-13|<tuple|8.5|?>>
|
||||
<associate|idx-3|<tuple|3|?>>
|
||||
<associate|gly-4|<tuple|4|?>>
|
||||
<associate|toc-14|<tuple|8.6|?>>
|
||||
<associate|idx-4|<tuple|7|?>>
|
||||
<associate|gly-5|<tuple|5|?>>
|
||||
<associate|toc-15|<tuple|8.7|?>>
|
||||
<associate|idx-5|<tuple|8|?>>
|
||||
<associate|gly-6|<tuple|6|?>>
|
||||
<associate|toc-16|<tuple|8.8|?>>
|
||||
<associate|gly-7|<tuple|7|?>>
|
||||
<associate|gly-8|<tuple|8|?>>
|
||||
<associate|gly-9|<tuple|9|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|8.1|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
||||
<\auxiliary>
|
||||
<\collection>
|
||||
<\associate|figure>
|
||||
<tuple|normal||<pageref|gly-1>>
|
||||
|
||||
<tuple|normal||<pageref|gly-2>>
|
||||
|
||||
<tuple|normal||<pageref|gly-3>>
|
||||
|
||||
<tuple|normal||<pageref|gly-4>>
|
||||
|
||||
<tuple|normal||<pageref|gly-5>>
|
||||
|
||||
<tuple|normal||<pageref|gly-6>>
|
||||
|
||||
<tuple|normal||<pageref|gly-7>>
|
||||
|
||||
<tuple|normal||<pageref|gly-8>>
|
||||
|
||||
<tuple|normal||<pageref|gly-9>>
|
||||
</associate>
|
||||
<\associate|idx>
|
||||
<tuple|<tuple|<with|font family|<quote|ss>|Text>|<with|font
|
||||
family|<quote|ss>|Session>>|<pageref|idx-1>>
|
||||
|
||||
<tuple|<tuple|<with|font family|<quote|ss>|Text>|<with|font
|
||||
family|<quote|ss>|Session>>|<pageref|idx-2>>
|
||||
|
||||
<tuple|<tuple|<with|font family|<quote|ss>|Text>|<with|font
|
||||
family|<quote|ss>|Session>>|<pageref|idx-3>>
|
||||
</associate>
|
||||
<\associate|toc>
|
||||
<vspace*|1fn><with|font series|<quote|bold>|math font
|
||||
series|<quote|bold>|1<space|2spc>Octave><value|toc-dots><pageref|toc-1><vspace|0.5fn>
|
||||
|
||||
<vspace*|1fn><with|font series|<quote|bold>|math font
|
||||
series|<quote|bold>|2<space|2spc>Maxima><value|toc-dots><pageref|toc-2><vspace|0.5fn>
|
||||
|
||||
<vspace*|1fn><with|font series|<quote|bold>|math font
|
||||
series|<quote|bold>|3<space|2spc>Gnuplot><value|toc-dots><pageref|toc-3><vspace|0.5fn>
|
||||
|
||||
<vspace*|1fn><with|font series|<quote|bold>|math font
|
||||
series|<quote|bold>|4<space|2spc>Yacas><value|toc-dots><pageref|toc-4><vspace|0.5fn>
|
||||
|
||||
<vspace*|1fn><with|font series|<quote|bold>|math font
|
||||
series|<quote|bold>|5<space|2spc>QCL><value|toc-dots><pageref|toc-5><vspace|0.5fn>
|
||||
|
||||
<vspace*|1fn><with|font series|<quote|bold>|math font
|
||||
series|<quote|bold>|6<space|2spc>R><value|toc-dots><pageref|toc-6><vspace|0.5fn>
|
||||
|
||||
<vspace*|1fn><with|font series|<quote|bold>|math font
|
||||
series|<quote|bold>|7<space|2spc>Macaulay
|
||||
2><value|toc-dots><pageref|toc-7><vspace|0.5fn>
|
||||
|
||||
<vspace*|1fn><with|font series|<quote|bold>|math font
|
||||
series|<quote|bold>|8<space|2spc>Some Hints about
|
||||
Output><value|toc-dots><pageref|toc-8><vspace|0.5fn>
|
||||
</associate>
|
||||
</collection>
|
||||
</auxiliary>
|
||||
|
|
@ -0,0 +1,68 @@
|
|||
<TeXmacs|1.0.2.3>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<expand|tmdoc-title|The Ghostscript viewer>
|
||||
|
||||
In order to display images <TeXmacs> relies on the
|
||||
<hlink|<name|Ghostscript>|http://www.cs.wisc.edu/~ghost> program. This
|
||||
program makes it possible to display postscripts graphics in X Window
|
||||
applications. Other programs like <with|font family|tt|tiff2ps>, <with|font
|
||||
family|tt|pnmtops>, <with|font family|tt|giftopnm>, etc. are used to
|
||||
convert other image formats into postscript.
|
||||
|
||||
The <hlink|<name|Ghostview>|http://www.cs.wisc.edu/~ghost> program is a
|
||||
popular postscript file viewer based on <name|Ghostscript>. It may be used
|
||||
in combination with <TeXmacs> for previewing documents before you print
|
||||
them.
|
||||
|
||||
<apply|tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|giac|<tuple|1|?>>
|
||||
<associate|yacas|<tuple|5|?>>
|
||||
<associate|gtybalt|<tuple|1|?>>
|
||||
<associate|qcl|<tuple|6|?>>
|
||||
<associate|pari|<tuple|4|?>>
|
||||
<associate|r|<tuple|6|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|maxima|<tuple|3|?>>
|
||||
<associate|macaulay2|<tuple|2|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|octave|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|9|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
|
@ -0,0 +1,60 @@
|
|||
<TeXmacs|1.0.2.3>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<expand|tmdoc-title|The Giac system>
|
||||
|
||||
<hlink|<name|Giac>|http://www-fourier.ujf-grenoble.fr/~parisse/english.html>
|
||||
Is A Computer algebra system. The system has been designed by <name|Bernard
|
||||
Parisse> and is under active development.
|
||||
|
||||
<apply|tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|yacas|<tuple|5|?>>
|
||||
<associate|giac|<tuple|1|?>>
|
||||
<associate|gtybalt|<tuple|1|?>>
|
||||
<associate|pari|<tuple|4|?>>
|
||||
<associate|qcl|<tuple|6|?>>
|
||||
<associate|r|<tuple|6|?>>
|
||||
<associate|maxima|<tuple|3|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|macaulay2|<tuple|2|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|octave|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|9|?>>
|
||||
</collection>
|
||||
</references>
|
||||
File diff suppressed because it is too large
Load Diff
File diff suppressed because it is too large
Load Diff
|
|
@ -0,0 +1,77 @@
|
|||
<TeXmacs|1.0.2.3>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<expand|tmdoc-title|The GTybalt system>
|
||||
|
||||
<hlink|<name|GTybalt>|http://www.fis.unipr.it/~stefanw/gtybalt.html> is a
|
||||
free computer algebra system which is built on top of <name|GiNaC>, CLN and
|
||||
a program to interpret C and C++ commands. <name|gTybalt>, which is still
|
||||
in an experimental stage, is maintained by <hlink|<name|Stefan
|
||||
Weinzierl>|http://www.fis.unipr.it/~stefanw>. Some of the main features of
|
||||
<name|gTybalt> are the following:
|
||||
|
||||
<\itemize>
|
||||
<item>Object Oriented: <name|gTybalt> allows symbolic calculations within
|
||||
the C++ programming language.
|
||||
|
||||
<item>Efficiency for large scale problems: Solutions developed with
|
||||
<name|gTybalt> can be compiled with a C++ compiler and executed
|
||||
independently of <name|gTybalt>.
|
||||
|
||||
<item>Short development cycle: <name|gTybalt> can interpret C++ and
|
||||
execute C++ scripts. Solutions can be developed quickly for small-scale
|
||||
problems, either interactively or through scripts, and once debugged, the
|
||||
solutions can be compiled and scaled up to large-scale problems.
|
||||
</itemize>
|
||||
|
||||
<apply|tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|yacas|<tuple|5|?>>
|
||||
<associate|giac|<tuple|1|?>>
|
||||
<associate|gtybalt|<tuple|1|?>>
|
||||
<associate|pari|<tuple|4|?>>
|
||||
<associate|qcl|<tuple|6|?>>
|
||||
<associate|r|<tuple|6|?>>
|
||||
<associate|maxima|<tuple|3|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|macaulay2|<tuple|2|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|octave|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|9|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
|
@ -0,0 +1,86 @@
|
|||
<TeXmacs|1.0.2.3>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<expand|tmdoc-title|The Guile/Scheme language>
|
||||
|
||||
<name|Guile>/<name|Scheme> is a full implementation of the object oriented
|
||||
and <name|Lisp>-like programming language <name|Scheme>. It has special
|
||||
support for linking external C or C++ programs. This provides a transparent
|
||||
way to dynamically extend the language with fast new routines.
|
||||
<name|Guile>/<name|Scheme> is intended to become the major extension
|
||||
language for the <hlink|GNU project|http://www.gnu.org> and
|
||||
<hlink|Gnome|http://www.gnome.org>.
|
||||
|
||||
In particular, all high-level <TeXmacs> editing routines have been
|
||||
interfaced to <name|Guile>. These routines thereby are available to users
|
||||
who can write extensions to the editor, without going into the C++ code of
|
||||
<TeXmacs>. In the future, we also wish to implement a port to
|
||||
<name|Guile-gtk>. This extension of <name|Guile> implements a graphical
|
||||
user interface via gtk, which makes it possible to create menus, iconbars,
|
||||
file selectors, etc. in a very simple way.
|
||||
|
||||
More information about <name|Guile> can be found at
|
||||
|
||||
<\itemize>
|
||||
<item>The <name|Guile> <hlink|home page|http://www.gnu.org/software/guile>.
|
||||
|
||||
<item>The <name|Guile-gtk> <hlink|home
|
||||
page|http://www.ping.de/sites/zagadka/guile-gtk>.
|
||||
|
||||
<item>Other <name|Guile> <hlink|projects|http://www.gnu.org/software/guile/gnu-guile-projects.html>.
|
||||
|
||||
<item><name|RedHat> <hlink|packages|http://at.rpmfind.net/opsys/linux/RPM/guile.html>
|
||||
for easy installation of <name|Guile>.
|
||||
</itemize>
|
||||
|
||||
<apply|tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|giac|<tuple|1|?>>
|
||||
<associate|yacas|<tuple|5|?>>
|
||||
<associate|gtybalt|<tuple|1|?>>
|
||||
<associate|qcl|<tuple|6|?>>
|
||||
<associate|pari|<tuple|4|?>>
|
||||
<associate|r|<tuple|6|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|maxima|<tuple|3|?>>
|
||||
<associate|macaulay2|<tuple|2|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|octave|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|9|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
|
@ -0,0 +1,180 @@
|
|||
<TeXmacs|1.0.1.20>
|
||||
|
||||
<style|<tuple|tmdoc|maxima>>
|
||||
|
||||
<\body>
|
||||
<\expand|tmdoc-title>
|
||||
Using Macaulay 2 sessions inside <TeXmacs>
|
||||
</expand>
|
||||
|
||||
<name|Macaulay 2> is a software system devoted to supporting research in
|
||||
algebraic geometry and commutative algebra. The software is available now
|
||||
in source code for porting, and in compiled form for <name|Linux>,
|
||||
<name|Sun OS>, <name|Solaris>, <name|Windows>, and a few other unix
|
||||
machines. You can get it from
|
||||
|
||||
<\verbatim>
|
||||
\ \ \ \ http://www.math.uiuc.edu/Macaulay2
|
||||
</verbatim>
|
||||
|
||||
Here follows a sample session, which was started using
|
||||
<apply|menu|Insert|Session|Macaulay 2>:
|
||||
|
||||
<\session|macaulay2|default>
|
||||
<\output>
|
||||
Macaulay 2, version 0.9.2
|
||||
|
||||
--Copyright 1993-2001, D. R. Grayson and M. E. Stillman
|
||||
|
||||
--Singular-Factory 1.3b, copyright 1993-2001, G.-M. Greuel, et al.
|
||||
|
||||
--Singular-Libfac 0.3.2, copyright 1996-2001, M. Messollen
|
||||
|
||||
\ Macaulay 2 starting up\
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|macaulay2] >
|
||||
R=QQ[x_1..x_4]
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\expand|leqnarray*>
|
||||
<tformat|<table|<row|<cell|<with|mode|text|o2>>|<cell|=>|<cell|R>>|<row|<cell|<with|mode|text|o2>>|<cell|:>|<cell|<with|mode|text|PolynomialRing>>>>>
|
||||
</expand>
|
||||
</output>
|
||||
|
||||
<\input|macaulay2] >
|
||||
M=matrix{{x_1,x_2},{x_3,x_4}}
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\expand|leqnarray*>
|
||||
<tformat|<table|<row|<cell|<with|mode|text|o3>>|<cell|=>|<cell|<left|(><expand|tabular*|<tformat|<table|<row|<cell|x<rsub|1>>|<cell|
|
||||
x<rsub|2>>>|<row|<cell|x<rsub|3>>|<cell|
|
||||
x<rsub|4>>>>>><right|)>>>|<row|<cell|<with|mode|text|o3>>|<cell|:>|<cell|<with|mode|text|Matrix>>>>>
|
||||
</expand>
|
||||
</output>
|
||||
|
||||
<\input|macaulay2] >
|
||||
D=det M
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\expand|leqnarray*>
|
||||
<tformat|<table|<row|<cell|<with|mode|text|o4>>|<cell|=>|<cell|-x<rsub|2>
|
||||
x<rsub|3>+x<rsub|1> x<rsub|4>>>|<row|<cell|<with|mode|text|o4>>|<cell|:>|<cell|R>>>>
|
||||
</expand>
|
||||
</output>
|
||||
|
||||
<\input|macaulay2] >
|
||||
T=trace M
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\expand|leqnarray*>
|
||||
<tformat|<table|<row|<cell|<with|mode|text|o5>>|<cell|=>|<cell|x<rsub|1>+x<rsub|4>>>|<row|<cell|<with|mode|text|o5>>|<cell|:>|<cell|R>>>>
|
||||
</expand>
|
||||
</output>
|
||||
|
||||
<\input|macaulay2] >
|
||||
I=ideal{D,T}
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\expand|leqnarray*>
|
||||
<tformat|<table|<row|<cell|<with|mode|text|o6>>|<cell|=>|<cell|<with|mode|text|--Function-->
|
||||
(-x<rsub|2> x<rsub|3>+x<rsub|1> x<rsub|4>,x<rsub|1>+x<rsub|4>)>>|<row|<cell|<with|mode|text|o6>>|<cell|:>|<cell|<with|mode|text|Ideal>>>>>
|
||||
</expand>
|
||||
</output>
|
||||
|
||||
<\input|macaulay2] >
|
||||
J=ideal M^2
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\expand|leqnarray*>
|
||||
<tformat|<table|<row|<cell|<with|mode|text|o7>>|<cell|=>|<cell|<with|mode|text|--Function-->
|
||||
(x<rsub|1><rsup|2>+x<rsub|2> x<rsub|3>,x<rsub|1> x<rsub|3>+x<rsub|3>
|
||||
x<rsub|4>,x<rsub|1> x<rsub|2>+x<rsub|2> x<rsub|4>,x<rsub|2>
|
||||
x<rsub|3>+x<rsub|4><rsup|2>)>>|<row|<cell|<with|mode|text|o7>>|<cell|:>|<cell|<with|mode|text|Ideal>>>>>
|
||||
</expand>
|
||||
</output>
|
||||
|
||||
<\input|macaulay2] >
|
||||
radical I== radical J
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\expand|leqnarray*>
|
||||
<tformat|<table|<row|<cell|<with|mode|text|o8>>|<cell|=>|<cell|<with|mode|text|true>>>|<row|<cell|<with|mode|text|o8>>|<cell|:>|<cell|<with|mode|text|Boolean>>>>>
|
||||
</expand>
|
||||
</output>
|
||||
|
||||
<\input|macaulay2] >
|
||||
\;
|
||||
</input>
|
||||
</session>
|
||||
|
||||
<apply|tmdoc-copyright|2003|Chu-Ching Huang>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|toc-10|<tuple|8.2|?>>
|
||||
<associate|toc-11|<tuple|8.3|?>>
|
||||
<associate|gly-1|<tuple|1|?>>
|
||||
<associate|idx-1|<tuple|<uninit>|?>>
|
||||
<associate|toc-12|<tuple|8.4|?>>
|
||||
<associate|gly-2|<tuple|2|?>>
|
||||
<associate|idx-2|<tuple|1|?>>
|
||||
<associate|gly-3|<tuple|3|?>>
|
||||
<associate|toc-13|<tuple|8.5|?>>
|
||||
<associate|idx-3|<tuple|3|?>>
|
||||
<associate|gly-4|<tuple|4|?>>
|
||||
<associate|toc-14|<tuple|8.6|?>>
|
||||
<associate|idx-4|<tuple|7|?>>
|
||||
<associate|gly-5|<tuple|5|?>>
|
||||
<associate|toc-15|<tuple|8.7|?>>
|
||||
<associate|idx-5|<tuple|8|?>>
|
||||
<associate|toc-16|<tuple|8.8|?>>
|
||||
<associate|gly-6|<tuple|6|?>>
|
||||
<associate|gly-7|<tuple|7|?>>
|
||||
<associate|gly-8|<tuple|8|?>>
|
||||
<associate|gly-9|<tuple|9|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|8.1|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
|
@ -0,0 +1,190 @@
|
|||
<TeXmacs|1.0.1.18>
|
||||
|
||||
<style|<tuple|tmdoc|maxima>>
|
||||
|
||||
<\body>
|
||||
<\expand|tmdoc-title>
|
||||
Usare sessioni di Macaulay 2 in <TeXmacs>
|
||||
</expand>
|
||||
|
||||
<name|Macaulay 2> è un software dedicato al supporto della ricerca in
|
||||
geometria algebrica e algebra commutativa. Questo software è ora
|
||||
disponibile come codice sorgente e in forme compilate per <name|Linux>,
|
||||
<name|Sun OS>, <name|Solaris>, <name|Windows>, e per alcune altre macchine
|
||||
unix. Lo si può scaricare da
|
||||
|
||||
<\verbatim>
|
||||
\ \ \ \ http://www.math.uiuc.edu/Macaulay2
|
||||
</verbatim>
|
||||
|
||||
Qui di seguito vi è un esempio di una sessione, che si può iniziare usando
|
||||
<apply|menu|Insert|Session|Macaulay 2>:
|
||||
|
||||
<\session|macaulay2|default>
|
||||
<\output>
|
||||
Macaulay 2, version 0.9.2
|
||||
|
||||
--Copyright 1993-2001, D. R. Grayson and M. E. Stillman
|
||||
|
||||
--Singular-Factory 1.3b, copyright 1993-2001, G.-M. Greuel, et al.
|
||||
|
||||
--Singular-Libfac 0.3.2, copyright 1996-2001, M. Messollen
|
||||
|
||||
\ Macaulay 2 starting up\
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|macaulay2] >
|
||||
R=QQ[x_1..x_4]
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\expand|leqnarray*>
|
||||
<tformat|<table|<row|<cell|<with|mode|text|o2>>|<cell|=>|<cell|R>>|<row|<cell|<with|mode|text|o2>>|<cell|:>|<cell|<with|mode|text|PolynomialRing>>>>>
|
||||
</expand>
|
||||
</output>
|
||||
|
||||
<\input|macaulay2] >
|
||||
M=matrix{{x_1,x_2},{x_3,x_4}}
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\expand|leqnarray*>
|
||||
<tformat|<table|<row|<cell|<with|mode|text|o3>>|<cell|=>|<cell|<left|(><expand|tabular*|<tformat|<table|<row|<cell|x<rsub|1>>|<cell|
|
||||
x<rsub|2>>>|<row|<cell|x<rsub|3>>|<cell|
|
||||
x<rsub|4>>>>>><right|)>>>|<row|<cell|<with|mode|text|o3>>|<cell|:>|<cell|<with|mode|text|Matrix>>>>>
|
||||
</expand>
|
||||
</output>
|
||||
|
||||
<\input|macaulay2] >
|
||||
D=det M
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\expand|leqnarray*>
|
||||
<tformat|<table|<row|<cell|<with|mode|text|o4>>|<cell|=>|<cell|-x<rsub|2>
|
||||
x<rsub|3>+x<rsub|1> x<rsub|4>>>|<row|<cell|<with|mode|text|o4>>|<cell|:>|<cell|R>>>>
|
||||
</expand>
|
||||
</output>
|
||||
|
||||
<\input|macaulay2] >
|
||||
T=trace M
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\expand|leqnarray*>
|
||||
<tformat|<table|<row|<cell|<with|mode|text|o5>>|<cell|=>|<cell|x<rsub|1>+x<rsub|4>>>|<row|<cell|<with|mode|text|o5>>|<cell|:>|<cell|R>>>>
|
||||
</expand>
|
||||
</output>
|
||||
|
||||
<\input|macaulay2] >
|
||||
I=ideal{D,T}
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\expand|leqnarray*>
|
||||
<tformat|<table|<row|<cell|<with|mode|text|o6>>|<cell|=>|<cell|<with|mode|text|--Function-->
|
||||
(-x<rsub|2> x<rsub|3>+x<rsub|1> x<rsub|4>,x<rsub|1>+x<rsub|4>)>>|<row|<cell|<with|mode|text|o6>>|<cell|:>|<cell|<with|mode|text|Ideal>>>>>
|
||||
</expand>
|
||||
</output>
|
||||
|
||||
<\input|macaulay2] >
|
||||
J=ideal M^2
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\expand|leqnarray*>
|
||||
<tformat|<table|<row|<cell|<with|mode|text|o7>>|<cell|=>|<cell|<with|mode|text|--Function-->
|
||||
(x<rsub|1><rsup|2>+x<rsub|2> x<rsub|3>,x<rsub|1> x<rsub|3>+x<rsub|3>
|
||||
x<rsub|4>,x<rsub|1> x<rsub|2>+x<rsub|2> x<rsub|4>,x<rsub|2>
|
||||
x<rsub|3>+x<rsub|4><rsup|2>)>>|<row|<cell|<with|mode|text|o7>>|<cell|:>|<cell|<with|mode|text|Ideal>>>>>
|
||||
</expand>
|
||||
</output>
|
||||
|
||||
<\input|macaulay2] >
|
||||
radical I== radical J
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\expand|leqnarray*>
|
||||
<tformat|<table|<row|<cell|<with|mode|text|o8>>|<cell|=>|<cell|<with|mode|text|true>>>|<row|<cell|<with|mode|text|o8>>|<cell|:>|<cell|<with|mode|text|Boolean>>>>>
|
||||
</expand>
|
||||
</output>
|
||||
|
||||
<\input|macaulay2] >
|
||||
\;
|
||||
</input>
|
||||
</session>
|
||||
|
||||
<apply|tmdoc-copyright|2003|Chu-Ching Huang, Lucia Gecchelin>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|italian>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|toc-10|<tuple|8.2|?>>
|
||||
<associate|toc-11|<tuple|8.3|?>>
|
||||
<associate|gly-1|<tuple|1|?>>
|
||||
<associate|idx-1|<tuple|<uninit>|1>>
|
||||
<associate|idx-2|<tuple|1|?>>
|
||||
<associate|gly-2|<tuple|2|?>>
|
||||
<associate|toc-12|<tuple|8.4|?>>
|
||||
<associate|gly-3|<tuple|3|?>>
|
||||
<associate|toc-13|<tuple|8.5|?>>
|
||||
<associate|idx-3|<tuple|3|?>>
|
||||
<associate|gly-4|<tuple|4|?>>
|
||||
<associate|toc-14|<tuple|8.6|?>>
|
||||
<associate|idx-4|<tuple|7|?>>
|
||||
<associate|gly-5|<tuple|5|?>>
|
||||
<associate|toc-15|<tuple|8.7|?>>
|
||||
<associate|idx-5|<tuple|8|?>>
|
||||
<associate|gly-6|<tuple|6|?>>
|
||||
<associate|toc-16|<tuple|8.8|?>>
|
||||
<associate|gly-7|<tuple|7|?>>
|
||||
<associate|gly-8|<tuple|8|?>>
|
||||
<associate|gly-9|<tuple|9|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|8.1|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
||||
<\auxiliary>
|
||||
<\collection>
|
||||
<\associate|idx>
|
||||
<tuple|<tuple|<with|font family|<quote|ss>|Testo>|<with|font
|
||||
family|<quote|ss>|Sessione>|<with|font family|<quote|ss>|Macaulay
|
||||
2>>|<pageref|idx-1>>
|
||||
</associate>
|
||||
</collection>
|
||||
</auxiliary>
|
||||
|
|
@ -0,0 +1,63 @@
|
|||
<TeXmacs|1.0.2.3>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<expand|tmdoc-title|The Macaulay 2 system>
|
||||
|
||||
<hlink|<name|Macaulay 2>|http://www.math.uiuc.edu/Macaulay2> is a new
|
||||
software system devoted to supporting research in algebraic geometry and
|
||||
commutative algebra. The software is available now in source code for
|
||||
porting, and in compiled form for Linux, SunOS, Solaris, Windows, and a few
|
||||
other unix machines. An interface with <TeXmacs> is currently being
|
||||
implemented.
|
||||
|
||||
<apply|tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|giac|<tuple|1|?>>
|
||||
<associate|yacas|<tuple|5|?>>
|
||||
<associate|gtybalt|<tuple|1|?>>
|
||||
<associate|qcl|<tuple|6|?>>
|
||||
<associate|pari|<tuple|4|?>>
|
||||
<associate|r|<tuple|6|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|maxima|<tuple|3|?>>
|
||||
<associate|macaulay2|<tuple|2|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|octave|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|9|?>>
|
||||
</collection>
|
||||
</references>
|
||||
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|
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|
|||
<TeXmacs|1.0.4.7>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<doc-data|<doc-title|<TeXmacs>--maxima interface>>
|
||||
|
||||
In this tutorial, we shall discuss how to use the free Computer Algebra
|
||||
System (CAS) maxima from <TeXmacs>. It should be valid for <TeXmacs>-1.0.5
|
||||
and maxima-5.9.2.
|
||||
|
||||
Let's start <TeXmacs>. We shall use the package <tmpackage|varsession>:
|
||||
|
||||
<postscript|c0.png|*5/8|*5/8||||>
|
||||
|
||||
This is not strictly necessary, but interactive sessions look nicer with
|
||||
it. We shall also use <menu|Automatically close brackets>:
|
||||
|
||||
<postscript|c1.png|*5/8|*5/8||||>
|
||||
|
||||
Now we shall start one of the versions of maxima installed:
|
||||
|
||||
<postscript|c2.png|*5/8|*5/8||||>
|
||||
|
||||
Also we shall tick <menu|Mathematical input>:
|
||||
|
||||
<postscript|c3.png|*5/8|*5/8||||>
|
||||
|
||||
If you click the icon looking like ``?'' on the toolbar, <TeXmacs> will
|
||||
show the maxima manual:
|
||||
|
||||
<postscript|c4.png|*5/8|*5/8||||>
|
||||
|
||||
It is convenient to clone the window:
|
||||
|
||||
<postscript|c5.png|*5/8|*5/8||||>
|
||||
|
||||
Then, in one of the windows you return to the buffer which contains the
|
||||
maxima session (in this case, this buffer is called <menu|no name>):
|
||||
|
||||
<postscript|c6.png|*5/8|*5/8||||>
|
||||
|
||||
In the other window, you can read the manual. Blue texts are hyperlink;
|
||||
clicking them displays the corresponding sections of the manual.
|
||||
|
||||
Everything is ready for doing calculations. Usual methematical notations
|
||||
can be used for input expressions to a large extent. Don't forget to use
|
||||
<key|*> for multiplication; it is not visible, just produces a little
|
||||
space. Powers are produced using the toolbar or <key|^>; fractions -- by
|
||||
the toolbar or <shortcut|(make-fraction)>; square roots -- by the toolbar or <shortcut|(make-sqrt)>;
|
||||
large (automatically resizable) brackets -- by <shortcut|(make-bracket-open "(" ")" #t)> (note that with
|
||||
our settings this produces both the opening bracket and the closing one,
|
||||
and the cursor is left between them). You can use greek letters. For
|
||||
example, <with|mode|math|\<alpha\>> can be produced via the toolbar, by
|
||||
<key|H-a> (see help for the meaning of the modifier hyper), or by <key|a
|
||||
tab>. <with|mode|math|\<Gamma\>> means the
|
||||
<with|mode|math|\<Gamma\>>-function; <with|mode|math|\<pi\>> means ... what
|
||||
would you think? ... <with|mode|math|\<pi\>>; <with|mode|math|\<gamma\>>
|
||||
means the Euler constant; <with|mode|math|\<zeta\>> means the Riemann
|
||||
<with|mode|math|\<zeta\>>-function.
|
||||
|
||||
<postscript|c7.png|*5/8|*5/8||||>
|
||||
|
||||
The integral sign is produced via the toolbar or by <key|S-F5 I>. If it has
|
||||
limits, it means a definite integral, otherwise indefinite. Then you write
|
||||
your integrand, then a space, the differential sign (produced by <key|d tab
|
||||
tab>), a space, and your integration variable. The form of the result often
|
||||
depends on parameters; in such cases, maxima asks questions. If you don't
|
||||
want such interactive queries, you can provide the relevant information
|
||||
beforehand.
|
||||
|
||||
<postscript|c8.png|*5/8|*5/8||||>
|
||||
|
||||
You can select some (part of) an output field with the mouse:
|
||||
|
||||
<postscript|c9.png|*5/8|*5/8||||>
|
||||
|
||||
Then click on an input line, and click with the middle mouse button. The
|
||||
selected expression is inserted. You can edit it and execute.
|
||||
|
||||
<postscript|c10.png|*5/8|*5/8||||>
|
||||
|
||||
It is also possible to go to an earlier input line, edit it and press
|
||||
<key|enter>. The old output below this line will be replaced by the new
|
||||
one. This is very useful during the first stage of your work, when you
|
||||
investigate various possible approaches. Using this method too often leads
|
||||
to a spaghetti-like set of input and output lines, which is difficult to
|
||||
understand; it is even difficult to reproduce your calculation later.
|
||||
|
||||
Here are some definite integrals. The base of natural logarithms
|
||||
<with|mode|math|\<mathe\>> is produced via the toolbar or by <key|e tab
|
||||
tab>, and the infinity symbol -- via the toolbar or by <key|@ @>.
|
||||
|
||||
<postscript|c11.png|*5/8|*5/8||||>
|
||||
|
||||
Sums are similar to integrals. In addition to sums with a lower limit and
|
||||
an upper one, maxima understands sums with a lower limit like
|
||||
<with|mode|math|n\<in\>[a,b,c]>, where the symbol <with|mode|math|\<in\>>
|
||||
is produced by <key|\\ i n enter>. Products are also similar. Binomial
|
||||
coefficients are produced by <key|\\ b i n o m enter>. They look like
|
||||
matrices, but differ from them! Therefore, don't try to create them via the
|
||||
toolbar menu for matrices and other kinds of tables.
|
||||
|
||||
<postscript|c12.png|*5/8|*5/8||||>
|
||||
|
||||
Note a subtle point: the integral sign (or the sum or product sign) is
|
||||
considered as a kind of an ``opening bracket'', and there is the
|
||||
corresponding ``closing bracket'', which is invisible, but it shows where
|
||||
your integral ends. You can see it in the <menu|Document|View|Edit source
|
||||
tree> mode as <explain-macro|big\|.>. With out setting of
|
||||
<menu|Edit|Preferences|Keyboard|Automatically close brackets>, it is
|
||||
automatically produced after the integral sign when you input it; if you
|
||||
don't use this mode, you can produce it by <key|\\ b i g tab . enter>.
|
||||
|
||||
<postscript|c13.png|*5/8|*5/8||||>
|
||||
|
||||
Maxima understands matrices and determinants. They are produced via the
|
||||
toolbar. New columns and rows are inserted by <shortcut|(structured-insert-right)>, <shortcut|(structured-insert-left)>,
|
||||
<shortcut|(structured-insert-down)>, <shortcut|(structured-insert-up)>. The imaginary unit <with|mode|math|\<mathi\>> is
|
||||
produced via the toolbar or by <key|i tab tab>.
|
||||
|
||||
<postscript|c14.png|*5/8|*5/8||||>
|
||||
|
||||
<postscript|c15.png|*5/8|*5/8||||>
|
||||
|
||||
You can inserted some text explaining an input line. To this end, placing
|
||||
the cursor on this input line, select <menu|Insert text field> from the
|
||||
toolbar menu:
|
||||
|
||||
<postscript|c16.png|*5/8|*5/8||||>
|
||||
|
||||
Naturally, this explanation text can be as long as you need, and it can
|
||||
contain mathematical formulae.
|
||||
|
||||
<postscript|c17.png|*5/8|*5/8||||>
|
||||
|
||||
And here is a determinant.
|
||||
|
||||
<postscript|c18.png|*5/8|*5/8||||>
|
||||
|
||||
<postscript|c19.png|*5/8|*5/8||||>
|
||||
|
||||
Maxima can solve equations and systems of equations. It returns the list of
|
||||
solutions.
|
||||
|
||||
<postscript|c20.png|*5/8|*5/8||||>
|
||||
|
||||
Here we define and plot the function <with|mode|math|f(x,y)=<frac|sin(r)|r>>
|
||||
where <with|mode|math|r=<sqrt|x<rsup|2>+y<rsup|2>>>.
|
||||
|
||||
<postscript|c21.png|*5/8|*5/8||||>
|
||||
|
||||
The plot appears in a separate gnuplot window:
|
||||
|
||||
<postscript|c22.png|*5/8|*5/8||||>
|
||||
|
||||
Here we define a recursive function and trace its execution.
|
||||
|
||||
<postscript|c23.png|*5/8|*5/8||||>
|
||||
|
||||
You can create a ``sub-session'' within the maxima session. With the cursor
|
||||
on an input line, select <menu|Fold input field> from the toolbar menu:
|
||||
|
||||
<postscript|c24.png|*5/8|*5/8||||>
|
||||
|
||||
A sub-session appears; you can edit its title:
|
||||
|
||||
<postscript|c25.png|*5/8|*5/8||||>
|
||||
|
||||
You can work within this sub-session; it has its own current input line.
|
||||
|
||||
<postscript|c26.png|*5/8|*5/8||||>
|
||||
|
||||
If you dowble-click on the left bar of the sub-session, it gets folded:
|
||||
|
||||
<postscript|c27.png|*5/8|*5/8||||>
|
||||
|
||||
Now only its title is visible. This is convenient for long sub-calculations
|
||||
of your project: you can fold them all, and see only the skeleton of your
|
||||
calculation. Sub-sessions can be nested. You can unfold them by
|
||||
double-clicking once more.
|
||||
|
||||
Finally, we quit maxima:
|
||||
|
||||
<postscript|c28.png|*5/8|*5/8||||>
|
||||
|
||||
If you give a presentation, it is convenient to select <menu|Remove all
|
||||
output fields> from the toolbar menu:\
|
||||
|
||||
<postscript|c29.png|*5/8|*5/8||||>
|
||||
|
||||
All output lines disappear.
|
||||
|
||||
<postscript|c30.png|*5/8|*5/8||||>
|
||||
|
||||
It suffices to press <key|enter> on an input line, and maxima will be
|
||||
re-started. The results will be produced in the presence of your audience,
|
||||
just by pressing <key|enter> many times.
|
||||
|
||||
<postscript|c31.png|*5/8|*5/8||||>
|
||||
|
||||
Of course, you can save your work as a .tm file. Next time you start
|
||||
<TeXmacs> to edit this file, just press <key|enter> at the first input line
|
||||
to re-start maxima.
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|preamble|false>
|
||||
</collection>
|
||||
</initial>
|
||||
|
|
@ -0,0 +1,47 @@
|
|||
<TeXmacs|1.0.5.2>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<tmdoc-title|The Maxima system>
|
||||
|
||||
<hlink|<name|Maxima>|http://maxima.sourceforge.net/> is not only one of the
|
||||
oldest and best computer algebra systems around, it is also one of the only
|
||||
general purpose systems for which there is a free implementation. The
|
||||
current free <name|Maxima> implementation was started by
|
||||
<hlink|<name|William F. Schelter>|http://www.ma.utexas.edu/users/wfs>. It
|
||||
is dedicated to his memory. Here follow some features of <name|Maxima>:
|
||||
|
||||
<\itemize>
|
||||
<item>Plotting via netmath over the network.
|
||||
|
||||
<item>Computations over network
|
||||
|
||||
<item>Well tested on a large array of problems.
|
||||
|
||||
<item>Source level Debugger for maxima code
|
||||
|
||||
<item>Documentation available as html, texinfo, info, dvi and postscript.
|
||||
The documentation can be read inside <TeXmacs>.
|
||||
|
||||
<item>Easy to extend in fundamentally new ways, because you have complete
|
||||
access to source, and access to Common Lisp.
|
||||
|
||||
<item>Portable to many systems.
|
||||
</itemize>
|
||||
|
||||
<tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<tmdoc-license|Permission is granted to copy, distribute and/or modify this
|
||||
document under the terms of the GNU Free Documentation License, Version 1.1
|
||||
or any later version published by the Free Software Foundation; with no
|
||||
Invariant Sections, with no Front-Cover Texts, and with no Back-Cover
|
||||
Texts. A copy of the license is included in the section entitled "GNU Free
|
||||
Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
|
@ -0,0 +1,942 @@
|
|||
<TeXmacs|1.0.1.20>
|
||||
|
||||
<style|<tuple|tmdoc|maxima>>
|
||||
|
||||
<\body>
|
||||
<\expand|tmdoc-title>
|
||||
Using Octave sessions inside <TeXmacs>
|
||||
</expand>
|
||||
|
||||
GNU <name|Octave> is a free clone of <name|Matlab>, which can be downloaded
|
||||
from
|
||||
|
||||
<\verbatim>
|
||||
\ \ \ \ http://octave.sf.net
|
||||
</verbatim>
|
||||
|
||||
An <name|Octave> session is started using <apply|menu|Insert|Session|Octave>.
|
||||
Below, it is shown how to do linear algebra operations with <name|Octave>,
|
||||
such as matrix multiplication, inversion and diagonalization. Notice that
|
||||
you need to use the <verbatim|tmdisp> command (at the moment) in order to
|
||||
display the output in mathematical form.
|
||||
|
||||
<\session|octave|default>
|
||||
<\output>
|
||||
GNU Octave, version 2.1.40 (i386-redhat-linux-gnu).
|
||||
|
||||
Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002 John W. Eaton.
|
||||
|
||||
This is free software; see the source code for copying conditions.
|
||||
|
||||
There is ABSOLUTELY NO WARRANTY; not even for MERCHANTIBILITY or
|
||||
|
||||
FITNESS FOR A PARTICULAR PURPOSE.
|
||||
|
||||
\;
|
||||
|
||||
Report bugs to \<less\>bug-octave@bevo.che.wisc.edu\<gtr\>.
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
A=[1 0 0 0;2 2 0 0;-1 0 2 0;0 -1 2 2]
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
A =
|
||||
|
||||
\;
|
||||
|
||||
\ \ \ 1 \ \ 0 \ \ 0 \ \ 0
|
||||
|
||||
\ \ \ 2 \ \ 2 \ \ 0 \ \ 0
|
||||
|
||||
\ \ -1 \ \ 0 \ \ 2 \ \ 0
|
||||
|
||||
\ \ \ 0 \ -1 \ \ 2 \ \ 2
|
||||
|
||||
\;
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
tmdisp(A^2)
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<with|mode|math|formula style|true|<matrix|<tformat|<table|<row|<cell|<with|mode|math|1>>|<cell|<with|mode|math|0>>|<cell|<with|mode|math|0>>|<cell|<with|mode|math|0>>>|<row|<cell|<with|mode|math|6>>|<cell|<with|mode|math|4>>|<cell|<with|mode|math|0>>|<cell|<with|mode|math|0>>>|<row|<cell|<with|mode|math|-3>>|<cell|<with|mode|math|0>>|<cell|<with|mode|math|4>>|<cell|<with|mode|math|0>>>|<row|<cell|<with|mode|math|-4>>|<cell|<with|mode|math|-4>>|<cell|<with|mode|math|8>>|<cell|<with|mode|math|4>>>>>>>
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
tmdisp(A.^2)
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<with|mode|math|formula style|true|<matrix|<tformat|<table|<row|<cell|<with|mode|math|1>>|<cell|<with|mode|math|0>>|<cell|<with|mode|math|0>>|<cell|<with|mode|math|0>>>|<row|<cell|<with|mode|math|4>>|<cell|<with|mode|math|4>>|<cell|<with|mode|math|0>>|<cell|<with|mode|math|0>>>|<row|<cell|<with|mode|math|1>>|<cell|<with|mode|math|0>>|<cell|<with|mode|math|4>>|<cell|<with|mode|math|0>>>|<row|<cell|<with|mode|math|0>>|<cell|<with|mode|math|1>>|<cell|<with|mode|math|4>>|<cell|<with|mode|math|4>>>>>>>
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
[u,v]=eig(A)
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
u =
|
||||
|
||||
\;
|
||||
|
||||
\ \ \ 0.00000 \ \ 0.00000 \ \ 0.00000 \ \ 0.21320
|
||||
|
||||
\ \ \ 0.00000 \ \ 0.00000 \ \ 0.00000 \ -0.42640
|
||||
|
||||
\ \ \ 0.00000 \ \ 0.00000 \ \ 0.00000 \ \ 0.21320
|
||||
|
||||
\ \ \ 1.00000 \ \ 1.00000 \ -1.00000 \ -0.85280
|
||||
|
||||
\;
|
||||
|
||||
v =
|
||||
|
||||
\;
|
||||
|
||||
\ \ 2 \ 0 \ 0 \ 0
|
||||
|
||||
\ \ 0 \ 2 \ 0 \ 0
|
||||
|
||||
\ \ 0 \ 0 \ 2 \ 0
|
||||
|
||||
\ \ 0 \ 0 \ 0 \ 1
|
||||
|
||||
\;
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
Q=[1 0 0 0;-2 2 1 0;1 1 0 0;-4 0 0 -1]
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
Q =
|
||||
|
||||
\;
|
||||
|
||||
\ \ \ 1 \ \ 0 \ \ 0 \ \ 0
|
||||
|
||||
\ \ -2 \ \ 2 \ \ 1 \ \ 0
|
||||
|
||||
\ \ \ 1 \ \ 1 \ \ 0 \ \ 0
|
||||
|
||||
\ \ -4 \ \ 0 \ \ 0 \ -1
|
||||
|
||||
\;
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
P=inv(Q)
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
P =
|
||||
|
||||
\;
|
||||
|
||||
\ \ \ 1 \ -0 \ \ 0 \ \ 0
|
||||
|
||||
\ \ -1 \ \ 0 \ \ 1 \ \ 0
|
||||
|
||||
\ \ \ 4 \ \ 1 \ -2 \ \ 0
|
||||
|
||||
\ \ -4 \ \ 0 \ \ 0 \ -1
|
||||
|
||||
\;
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
P*A*Q
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
ans =
|
||||
|
||||
\;
|
||||
|
||||
\ \ 1 \ 0 \ 0 \ 0
|
||||
|
||||
\ \ 0 \ 2 \ 0 \ 0
|
||||
|
||||
\ \ 0 \ 0 \ 2 \ 0
|
||||
|
||||
\ \ 0 \ 0 \ 1 \ 2
|
||||
|
||||
\;
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
\;
|
||||
</input>
|
||||
</session>
|
||||
|
||||
The second part shows the graph capacity of Octave, 2D and 3D graphs. 2D
|
||||
graphs can be automatically embedded into the worksheet but 3D graphs are
|
||||
not yet.
|
||||
|
||||
<\session|octave|default>
|
||||
<\input|octave\<gtr\> >
|
||||
x=linspace(-10,10,1000);
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
y=x+sin(x);
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
plot(x,y,";Function y=x+sin(x);");
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
\;
|
||||
|
||||
\;
|
||||
|
||||
<postscript|<tuple|<raw_data|%!PS-Adobe-2.0 EPSF-2.0\n%%Title:
|
||||
/tmp/tmplot.eps\n%%Creator: gnuplot 3.7 patchlevel 2\n%%CreationDate:
|
||||
Wed Jul 23 17:35:03 2003\n%%DocumentFonts: (atend)\n%%BoundingBox: 50
|
||||
50 230 176\n%%Orientation: Portrait\n%%EndComments\n/gnudict 256 dict
|
||||
def\ngnudict begin\n/Color true def\n/Solid false def\n/gnulinewidth
|
||||
5.000 def\n/userlinewidth gnulinewidth def\n/vshift -46 def\n/dl {10
|
||||
mul} def\n/hpt_ 31.5 def\n/vpt_ 31.5 def\n/hpt hpt_ def\n/vpt vpt_
|
||||
def\n/M {moveto} bind def\n/L {lineto} bind def\n/R {rmoveto} bind
|
||||
def\n/V {rlineto} bind def\n/vpt2 vpt 2 mul def\n/hpt2 hpt 2 mul
|
||||
def\n/Lshow { currentpoint stroke M\n \ 0 vshift R show } def\n/Rshow {
|
||||
currentpoint stroke M\n \ dup stringwidth pop neg vshift R show }
|
||||
def\n/Cshow { currentpoint stroke M\n \ dup stringwidth pop -2 div
|
||||
vshift R show } def\n/UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt
|
||||
exch def\n \ /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def\n/DL { Color
|
||||
{setrgbcolor Solid {pop []} if 0 setdash }\n {pop pop pop Solid {pop
|
||||
[]} if 0 setdash} ifelse } def\n/BL { stroke userlinewidth 2 mul
|
||||
setlinewidth } def\n/AL { stroke userlinewidth 2 div setlinewidth }
|
||||
def\n/UL { dup gnulinewidth mul /userlinewidth exch def\n \ \ \ \ \ dup
|
||||
1 lt {pop 1} if 10 mul /udl exch def } def\n/PL { stroke userlinewidth
|
||||
setlinewidth } def\n/LTb { BL [] 0 0 0 DL } def\n/LTa { AL [1 udl mul 2
|
||||
udl mul] 0 setdash 0 0 0 setrgbcolor } def\n/LT0 { PL [] 1 0 0 DL }
|
||||
def\n/LT1 { PL [4 dl 2 dl] 0 1 0 DL } def\n/LT2 { PL [2 dl 3 dl] 0 0 1
|
||||
DL } def\n/LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def\n/LT4 { PL [5 dl 2 dl
|
||||
1 dl 2 dl] 0 1 1 DL } def\n/LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL }
|
||||
def\n/LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def\n/LT7 { PL [2 dl 2
|
||||
dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def\n/LT8 { PL [2 dl 2 dl 2 dl 2
|
||||
dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def\n/Pnt { stroke [] 0
|
||||
setdash\n \ \ gsave 1 setlinecap M 0 0 V stroke grestore } def\n/Dia {
|
||||
stroke [] 0 setdash 2 copy vpt add M\n \ hpt neg vpt neg V hpt vpt neg
|
||||
V\n \ hpt vpt V hpt neg vpt V closepath stroke\n \ Pnt } def\n/Pls {
|
||||
stroke [] 0 setdash vpt sub M 0 vpt2 V\n \ currentpoint stroke M\n
|
||||
\ hpt neg vpt neg R hpt2 0 V stroke\n \ } def\n/Box { stroke [] 0
|
||||
setdash 2 copy exch hpt sub exch vpt add M\n \ 0 vpt2 neg V hpt2 0 V 0
|
||||
vpt2 V\n \ hpt2 neg 0 V closepath stroke\n \ Pnt } def\n/Crs { stroke
|
||||
[] 0 setdash exch hpt sub exch vpt add M\n \ hpt2 vpt2 neg V
|
||||
currentpoint stroke M\n \ hpt2 neg 0 R hpt2 vpt2 V stroke } def\n/TriU
|
||||
{ stroke [] 0 setdash 2 copy vpt 1.12 mul add M\n \ hpt neg vpt -1.62
|
||||
mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt 1.62 mul V closepath stroke\n
|
||||
\ Pnt \ } def\n/Star { 2 copy Pls Crs } def\n/BoxF { stroke [] 0
|
||||
setdash exch hpt sub exch vpt add M\n \ 0 vpt2 neg V \ hpt2 0 V \ 0
|
||||
vpt2 V\n \ hpt2 neg 0 V \ closepath fill } def\n/TriUF { stroke [] 0
|
||||
setdash vpt 1.12 mul add M\n \ hpt neg vpt -1.62 mul V\n \ hpt 2 mul 0
|
||||
V\n \ hpt neg vpt 1.62 mul V closepath fill } def\n/TriD { stroke [] 0
|
||||
setdash 2 copy vpt 1.12 mul sub M\n \ hpt neg vpt 1.62 mul V\n \ hpt 2
|
||||
mul 0 V\n \ hpt neg vpt -1.62 mul V closepath stroke\n \ Pnt \ }
|
||||
def\n/TriDF { stroke [] 0 setdash vpt 1.12 mul sub M\n \ hpt neg vpt
|
||||
1.62 mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt -1.62 mul V closepath
|
||||
fill} def\n/DiaF { stroke [] 0 setdash vpt add M\n \ hpt neg vpt neg V
|
||||
hpt vpt neg V\n \ hpt vpt V hpt neg vpt V closepath fill } def\n/Pent {
|
||||
stroke [] 0 setdash 2 copy gsave\n \ translate 0 hpt M 4 {72 rotate 0
|
||||
hpt L} repeat\n \ closepath stroke grestore Pnt } def\n/PentF { stroke
|
||||
[] 0 setdash gsave\n \ translate 0 hpt M 4 {72 rotate 0 hpt L} repeat\n
|
||||
\ closepath fill grestore } def\n/Circle { stroke [] 0 setdash 2 copy\n
|
||||
\ hpt 0 360 arc stroke Pnt } def\n/CircleF { stroke [] 0 setdash hpt 0
|
||||
360 arc fill } def\n/C0 { BL [] 0 setdash 2 copy moveto vpt 90 450
|
||||
\ arc } bind def\n/C1 { BL [] 0 setdash 2 copy \ \ \ \ \ \ \ moveto\n
|
||||
\ \ \ \ \ \ 2 copy \ vpt 0 90 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C2 {
|
||||
BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 90 180 arc
|
||||
closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath }
|
||||
bind def\n/C3 { BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy
|
||||
\ vpt 0 180 arc closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360
|
||||
arc closepath } bind def\n/C4 { BL [] 0 setdash 2 copy moveto\n
|
||||
\ \ \ \ \ \ 2 copy \ vpt 180 270 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C5 {
|
||||
BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 0 90 arc\n
|
||||
\ \ \ \ \ \ 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 180 270 arc
|
||||
closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc } bind
|
||||
def\n/C6 { BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ 2 copy \ vpt 90
|
||||
270 arc closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc
|
||||
closepath } bind def\n/C7 { BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ 2
|
||||
copy \ vpt 0 270 arc closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0
|
||||
360 arc closepath } bind def\n/C8 { BL [] 0 setdash 2 copy moveto\n
|
||||
\ \ \ \ \ 2 copy vpt 270 360 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C9 { BL
|
||||
[] 0 setdash 2 copy moveto\n \ \ \ \ \ 2 copy \ vpt 270 450 arc
|
||||
closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath }
|
||||
bind def\n/C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc
|
||||
closepath fill\n \ \ \ \ \ \ 2 copy moveto\n \ \ \ \ \ \ 2 copy vpt 90
|
||||
180 arc closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc
|
||||
closepath } bind def\n/C11 { BL [] 0 setdash 2 copy moveto\n
|
||||
\ \ \ \ \ \ 2 copy \ vpt 0 180 arc closepath fill\n \ \ \ \ \ \ 2 copy
|
||||
moveto\n \ \ \ \ \ \ 2 copy \ vpt 270 360 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C12 {
|
||||
BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 180 360 arc
|
||||
closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath }
|
||||
bind def\n/C13 { BL [] 0 setdash \ 2 copy moveto\n \ \ \ \ \ \ 2 copy
|
||||
\ vpt 0 90 arc closepath fill\n \ \ \ \ \ \ 2 copy moveto\n
|
||||
\ \ \ \ \ \ 2 copy \ vpt 180 360 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C14 {
|
||||
BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 90 360 arc
|
||||
closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc } bind
|
||||
def\n/C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/Rec
|
||||
\ \ { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto\n
|
||||
\ \ \ \ \ \ neg 0 rlineto closepath } bind def\n/Square { dup Rec }
|
||||
bind def\n/Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind
|
||||
def\n/S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare }
|
||||
bind def\n/S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind
|
||||
def\n/S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill
|
||||
Bsquare } bind def\n/S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2
|
||||
vpt Rec fill Bsquare } bind def\n/S4 { BL [] 0 setdash 2 copy exch vpt
|
||||
sub exch vpt sub vpt Square fill Bsquare } bind def\n/S5 { BL [] 0
|
||||
setdash 2 copy 2 copy vpt Square fill\n \ \ \ \ \ \ exch vpt sub exch
|
||||
vpt sub vpt Square fill Bsquare } bind def\n/S6 { BL [] 0 setdash 2
|
||||
copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind
|
||||
def\n/S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2
|
||||
Rec fill\n \ \ \ \ \ \ 2 copy vpt Square fill\n \ \ \ \ \ \ Bsquare }
|
||||
bind def\n/S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare
|
||||
} bind def\n/S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill
|
||||
Bsquare } bind def\n/S10 { BL [] 0 setdash 2 copy vpt sub vpt Square
|
||||
fill 2 copy exch vpt sub exch vpt Square fill\n \ \ \ \ \ \ Bsquare }
|
||||
bind def\n/S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy
|
||||
exch vpt sub exch vpt2 vpt Rec fill\n \ \ \ \ \ \ Bsquare } bind
|
||||
def\n/S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt
|
||||
Rec fill Bsquare } bind def\n/S13 { BL [] 0 setdash 2 copy exch vpt sub
|
||||
exch vpt sub vpt2 vpt Rec fill\n \ \ \ \ \ \ 2 copy vpt Square fill
|
||||
Bsquare } bind def\n/S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt
|
||||
sub vpt2 vpt Rec fill\n \ \ \ \ \ \ 2 copy exch vpt sub exch vpt Square
|
||||
fill Bsquare } bind def\n/S15 { BL [] 0 setdash 2 copy Bsquare fill
|
||||
Bsquare } bind def\n/D0 { gsave translate 45 rotate 0 0 S0 stroke
|
||||
grestore } bind def\n/D1 { gsave translate 45 rotate 0 0 S1 stroke
|
||||
grestore } bind def\n/D2 { gsave translate 45 rotate 0 0 S2 stroke
|
||||
grestore } bind def\n/D3 { gsave translate 45 rotate 0 0 S3 stroke
|
||||
grestore } bind def\n/D4 { gsave translate 45 rotate 0 0 S4 stroke
|
||||
grestore } bind def\n/D5 { gsave translate 45 rotate 0 0 S5 stroke
|
||||
grestore } bind def\n/D6 { gsave translate 45 rotate 0 0 S6 stroke
|
||||
grestore } bind def\n/D7 { gsave translate 45 rotate 0 0 S7 stroke
|
||||
grestore } bind def\n/D8 { gsave translate 45 rotate 0 0 S8 stroke
|
||||
grestore } bind def\n/D9 { gsave translate 45 rotate 0 0 S9 stroke
|
||||
grestore } bind def\n/D10 { gsave translate 45 rotate 0 0 S10 stroke
|
||||
grestore } bind def\n/D11 { gsave translate 45 rotate 0 0 S11 stroke
|
||||
grestore } bind def\n/D12 { gsave translate 45 rotate 0 0 S12 stroke
|
||||
grestore } bind def\n/D13 { gsave translate 45 rotate 0 0 S13 stroke
|
||||
grestore } bind def\n/D14 { gsave translate 45 rotate 0 0 S14 stroke
|
||||
grestore } bind def\n/D15 { gsave translate 45 rotate 0 0 S15 stroke
|
||||
grestore } bind def\n/DiaE { stroke [] 0 setdash vpt add M\n \ hpt neg
|
||||
vpt neg V hpt vpt neg V\n \ hpt vpt V hpt neg vpt V closepath stroke }
|
||||
def\n/BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M\n \ 0 vpt2
|
||||
neg V hpt2 0 V 0 vpt2 V\n \ hpt2 neg 0 V closepath stroke } def\n/TriUE
|
||||
{ stroke [] 0 setdash vpt 1.12 mul add M\n \ hpt neg vpt -1.62 mul V\n
|
||||
\ hpt 2 mul 0 V\n \ hpt neg vpt 1.62 mul V closepath stroke }
|
||||
def\n/TriDE { stroke [] 0 setdash vpt 1.12 mul sub M\n \ hpt neg vpt
|
||||
1.62 mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt -1.62 mul V closepath
|
||||
stroke } def\n/PentE { stroke [] 0 setdash gsave\n \ translate 0 hpt M
|
||||
4 {72 rotate 0 hpt L} repeat\n \ closepath stroke grestore }
|
||||
def\n/CircE { stroke [] 0 setdash \n \ hpt 0 360 arc stroke }
|
||||
def\n/Opaque { gsave closepath 1 setgray fill grestore 0 setgray
|
||||
closepath } def\n/DiaW { stroke [] 0 setdash vpt add M\n \ hpt neg vpt
|
||||
neg V hpt vpt neg V\n \ hpt vpt V hpt neg vpt V Opaque stroke }
|
||||
def\n/BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M\n \ 0 vpt2
|
||||
neg V hpt2 0 V 0 vpt2 V\n \ hpt2 neg 0 V Opaque stroke } def\n/TriUW {
|
||||
stroke [] 0 setdash vpt 1.12 mul add M\n \ hpt neg vpt -1.62 mul V\n
|
||||
\ hpt 2 mul 0 V\n \ hpt neg vpt 1.62 mul V Opaque stroke } def\n/TriDW
|
||||
{ stroke [] 0 setdash vpt 1.12 mul sub M\n \ hpt neg vpt 1.62 mul V\n
|
||||
\ hpt 2 mul 0 V\n \ hpt neg vpt -1.62 mul V Opaque stroke } def\n/PentW
|
||||
{ stroke [] 0 setdash gsave\n \ translate 0 hpt M 4 {72 rotate 0 hpt L}
|
||||
repeat\n \ Opaque stroke grestore } def\n/CircW { stroke [] 0 setdash
|
||||
\n \ hpt 0 360 arc Opaque stroke } def\n/BoxFill { gsave Rec 1 setgray
|
||||
fill grestore } def\n/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0]
|
||||
makefont\ndup length dict begin {1 index /FID eq {pop pop} {def}
|
||||
ifelse} forall\ncurrentdict end definefont\n/MFshow {{dup dup 0 get
|
||||
findfont exch 1 get scalefont setfont\n \ \ \ \ [ currentpoint ] exch
|
||||
dup 2 get 0 exch rmoveto dup dup 5 get exch 4 get\n \ \ \ \ {show}
|
||||
{stringwidth pop 0 rmoveto}ifelse dup 3 get\n \ \ \ \ {2 get neg 0 exch
|
||||
rmoveto pop} {pop aload pop moveto}ifelse} forall} bind def\n/MFwidth
|
||||
{0 exch {dup 3 get{dup dup 0 get findfont exch 1 get scalefont
|
||||
setfont\n \ \ \ \ \ 5 get stringwidth pop add}\n \ \ \ {pop} ifelse}
|
||||
forall} bind def\n/MLshow { currentpoint stroke M\n \ 0 exch R MFshow }
|
||||
bind def\n/MRshow { currentpoint stroke M\n \ exch dup MFwidth neg 3 -1
|
||||
roll R MFshow } def\n/MCshow { currentpoint stroke M\n \ exch dup
|
||||
MFwidth -2 div 3 -1 roll R MFshow } def\nend\n%%EndProlog\ngnudict
|
||||
begin\ngsave\n50 50 translate\n0.050 0.050 scale\n0
|
||||
setgray\nnewpath\n(Helvetica) findfont 140 scalefont setfont\n1.000
|
||||
UL\nLTb\n490 280 M\n63 0 V\n2809 0 R\n-63 0 V\n stroke\n406 280 M\n[
|
||||
[(Helvetica) 140.0 0.0 true true (-10)]\n] -46.7 MRshow\n490 487 M\n63
|
||||
0 V\n2809 0 R\n-63 0 V\n stroke\n406 487 M\n[ [(Helvetica) 140.0 0.0
|
||||
true true (-8)]\n] -46.7 MRshow\n490 694 M\n63 0 V\n2809 0 R\n-63 0 V\n
|
||||
stroke\n406 694 M\n[ [(Helvetica) 140.0 0.0 true true (-6)]\n] -46.7
|
||||
MRshow\n490 902 M\n63 0 V\n2809 0 R\n-63 0 V\n stroke\n406 902 M\n[
|
||||
[(Helvetica) 140.0 0.0 true true (-4)]\n] -46.7 MRshow\n490 1109 M\n63
|
||||
0 V\n2809 0 R\n-63 0 V\n stroke\n406 1109 M\n[ [(Helvetica) 140.0 0.0
|
||||
true true (-2)]\n] -46.7 MRshow\n490 1316 M\n63 0 V\n2809 0 R\n-63 0
|
||||
V\n stroke\n406 1316 M\n[ [(Helvetica) 140.0 0.0 true true ( 0)]\n]
|
||||
-46.7 MRshow\n490 1523 M\n63 0 V\n2809 0 R\n-63 0 V\n stroke\n406 1523
|
||||
M\n[ [(Helvetica) 140.0 0.0 true true ( 2)]\n] -46.7 MRshow\n490 1730
|
||||
M\n63 0 V\n2809 0 R\n-63 0 V\n stroke\n406 1730 M\n[ [(Helvetica) 140.0
|
||||
0.0 true true ( 4)]\n] -46.7 MRshow\n490 1938 M\n63 0 V\n2809 0 R\n-63
|
||||
0 V\n stroke\n406 1938 M\n[ [(Helvetica) 140.0 0.0 true true ( 6)]\n]
|
||||
-46.7 MRshow\n490 2145 M\n63 0 V\n2809 0 R\n-63 0 V\n stroke\n406 2145
|
||||
M\n[ [(Helvetica) 140.0 0.0 true true ( 8)]\n] -46.7 MRshow\n490 2352
|
||||
M\n63 0 V\n2809 0 R\n-63 0 V\n stroke\n406 2352 M\n[ [(Helvetica) 140.0
|
||||
0.0 true true ( 10)]\n] -46.7 MRshow\n490 280 M\n0 63 V\n0 2009 R\n0
|
||||
-63 V\n stroke\n490 140 M\n[ [(Helvetica) 140.0 0.0 true true (-10)]\n]
|
||||
-46.7 MCshow\n1208 280 M\n0 63 V\n0 2009 R\n0 -63 V\n stroke\n1208 140
|
||||
M\n[ [(Helvetica) 140.0 0.0 true true (-5)]\n] -46.7 MCshow\n1926 280
|
||||
M\n0 63 V\n0 2009 R\n0 -63 V\n stroke\n1926 140 M\n[ [(Helvetica) 140.0
|
||||
0.0 true true ( 0)]\n] -46.7 MCshow\n2644 280 M\n0 63 V\n0 2009 R\n0
|
||||
-63 V\n stroke\n2644 140 M\n[ [(Helvetica) 140.0 0.0 true true ( 5)]\n]
|
||||
-46.7 MCshow\n3362 280 M\n0 63 V\n0 2009 R\n0 -63 V\n stroke\n3362 140
|
||||
M\n[ [(Helvetica) 140.0 0.0 true true ( 10)]\n] -46.7 MCshow\n1.000
|
||||
UL\nLTb\n490 280 M\n2872 0 V\n0 2072 V\n-2872 0 V\n490 280 L\n1.000
|
||||
UL\nLT0\n2711 2219 M\n[ [(Helvetica) 140.0 0.0 true true (Function
|
||||
y=x+sin\\(x\\))]\n] -46.7 MRshow\n2795 2219 M\n399 0 V\n490 336 M\n3 1
|
||||
V\n3 0 V\n3 0 V\n2 1 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0
|
||||
V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 1 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n2 0 V\n3 1 V\n3 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0 V\n2 1 V\n3 0
|
||||
V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n2 1 V\n3 0 V\n3 1 V\n3 1
|
||||
V\n3 0 V\n3 1 V\n3 1 V\n3 1 V\n2 1 V\n3 0 V\n3 1 V\n3 1 V\n3 1 V\n3 1
|
||||
V\n3 1 V\n3 1 V\n2 2 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 2 V\n3 1 V\n3 2
|
||||
V\n2 1 V\n3 1 V\n3 2 V\n3 2 V\n3 1 V\n3 2 V\n3 1 V\n3 2 V\n2 2 V\n3 2
|
||||
V\n3 2 V\n3 1 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n2 2 V\n3 3 V\n3 2 V\n3 2
|
||||
V\n3 2 V\n3 2 V\n3 3 V\n3 2 V\n2 3 V\n3 2 V\n3 3 V\n3 2 V\n3 3 V\n3 2
|
||||
V\n3 3 V\n3 3 V\n2 2 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3
|
||||
V\n2 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 4 V\n3 3 V\n2 3 V\n3 4
|
||||
V\n3 3 V\n3 3 V\n3 4 V\n3 3 V\n3 4 V\n3 3 V\n2 4 V\n3 4 V\n3 3 V\n3 4
|
||||
V\n3 4 V\n3 3 V\n3 4 V\n3 4 V\n2 4 V\n3 3 V\n3 4 V\n3 4 V\n3 4 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n2 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4
|
||||
V\n2 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n2 5 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 5 V\n2 4 V\n3 4 V\n3 4 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n3 5 V\n3 4 V\n2 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n2 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4
|
||||
V\n2 4 V\n3 4 V\n3 4 V\n3 3 V\n3 4 V\n3 4 V\n3 4 V\n3 3 V\n2 4 V\n3 4
|
||||
V\n3 3 V\n3 4 V\n3 4 V\n3 3 V\n3 4 V\n3 3 V\n2 4 V\n3 3 V\n3 3 V\n3 4
|
||||
V\n3 3 V\n3 3 V\n3 4 V\n3 3 V\n2 3 V\n3 3 V\n3 3 V\n3 3 V\n3 4 V\n3 3
|
||||
V\n3 3 V\n3 2 V\n2 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 2 V\n3 3 V\n3 3
|
||||
V\n2 2 V\n3 3 V\n3 2 V\n3 3 V\n3 2 V\n3 3 V\n3 2 V\n3 2 V\n2 3 V\n3 2
|
||||
V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n2 2 V\n3 2 V\n3 2 V\n3 2
|
||||
V\n3 1 V\n3 2 V\n3 2 V\n3 2 V\n2 1 V\n3 2 V\n3 1 V\n3 2 V\n3 1 V\n3 2
|
||||
V\n3 1 V\n3 1 V\n2 2 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 2
|
||||
V\n2 1 V\n3 0 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 0 V\n2 1 V\n3 1
|
||||
V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n2 1 V\n3 0 V\n3 1 V\n3 0
|
||||
V\n3 1 V\n3 0 V\n3 0 V\n3 1 V\n2 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n2 1 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0 V\n2 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n3 1 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0 V\n3 0 V\n3 1
|
||||
V\n2 0 V\n3 0 V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n2 1 V\n3 0
|
||||
V\n3 1 V\n3 0 V\n3 1 V\n3 1 V\n3 0 V\n3 1 V\n2 1 V\n3 1 V\n3 1 V\n3 1
|
||||
V\n3 0 V\n3 1 V\n3 1 V\n3 1 V\n2 1 V\n3 2 V\ncurrentpoint stroke M\n3 1
|
||||
V\n3 1 V\n3 1 V\n3 1 V\n3 2 V\n3 1 V\n2 1 V\n3 2 V\n3 1 V\n3 2 V\n3 1
|
||||
V\n3 2 V\n3 1 V\n3 2 V\n2 2 V\n3 1 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2
|
||||
V\n3 2 V\n2 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 3 V\n2 2
|
||||
V\n3 2 V\n3 3 V\n3 2 V\n3 3 V\n3 2 V\n3 3 V\n3 3 V\n2 2 V\n3 3 V\n3 3
|
||||
V\n3 3 V\n3 2 V\n3 3 V\n3 3 V\n3 3 V\n2 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3
|
||||
V\n3 3 V\n3 4 V\n3 3 V\n2 3 V\n3 3 V\n3 4 V\n3 3 V\n3 4 V\n3 3 V\n3 3
|
||||
V\n3 4 V\n2 3 V\n3 4 V\n3 4 V\n3 3 V\n3 4 V\n3 3 V\n3 4 V\n3 4 V\n2 4
|
||||
V\n3 3 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 3 V\n3 4 V\n2 4 V\n3 4 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n2 4 V\n3 4 V\n3 4 V\n3 4 V\n3 5
|
||||
V\n3 4 V\n3 4 V\n3 4 V\n2 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 5 V\n3 4
|
||||
V\n3 4 V\n2 4 V\n3 4 V\n3 4 V\n3 5 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n2 4
|
||||
V\n3 4 V\n3 4 V\n3 4 V\n3 5 V\n3 4 V\n3 4 V\n3 4 V\n2 4 V\n3 4 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n2 4 V\n3 4 V\n3 3 V\n3 4 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n3 3 V\n2 4 V\n3 4 V\n3 4 V\n3 3 V\n3 4 V\n3 3 V\n3 4
|
||||
V\n3 4 V\n2 3 V\n3 4 V\n3 3 V\n3 3 V\n3 4 V\n3 3 V\n3 4 V\n3 3 V\n2 3
|
||||
V\n3 3 V\n3 4 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n2 3 V\n3 3 V\n3 3
|
||||
V\n3 3 V\n3 2 V\n3 3 V\n3 3 V\n3 3 V\n2 2 V\n3 3 V\n3 3 V\n3 2 V\n3 3
|
||||
V\n3 2 V\n3 3 V\n3 2 V\n2 2 V\n3 3 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2
|
||||
V\n3 2 V\n2 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 1 V\n2 2
|
||||
V\n3 2 V\n3 1 V\n3 2 V\n3 1 V\n3 2 V\n3 1 V\n3 2 V\n2 1 V\n3 1 V\n3 2
|
||||
V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 2 V\n2 1 V\n3 1 V\n3 1 V\n3 1 V\n3 0
|
||||
V\n3 1 V\n3 1 V\n3 1 V\n2 1 V\n3 1 V\n3 0 V\n3 1 V\n3 1 V\n3 0 V\n3 1
|
||||
V\n3 0 V\n2 1 V\n3 0 V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n2 0
|
||||
V\n3 1 V\n3 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 1
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 1 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0 V\n2 0 V\n3 1 V\n3 0 V\n3 0 V\n3 1
|
||||
V\n3 0 V\n3 1 V\n3 0 V\n2 1 V\n3 0 V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n3 1
|
||||
V\n3 1 V\n2 1 V\n3 0 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 0 V\n2 1
|
||||
V\n3 2 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n2 2 V\n3 1 V\n3 1
|
||||
V\n3 2 V\n3 1 V\n3 2 V\n3 1 V\n3 2 V\n2 1 V\n3 2 V\n3 2 V\n3 2 V\n3 1
|
||||
V\n3 2 V\n3 2 V\n3 2 V\n2 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2
|
||||
V\n3 2 V\n2 3 V\n3 2 V\n3 2 V\n3 3 V\n3 2 V\n3 3 V\n3 2 V\n3 3 V\n2 2
|
||||
V\n3 3 V\n3 3 V\n3 2 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n2 3 V\n3 2 V\n3 3
|
||||
V\n3 3 V\n3 4 V\n3 3 V\n3 3 V\n3 3 V\n2 3 V\n3 3 V\n3 4 V\n3 3 V\n3 3
|
||||
V\n3 4 V\n3 3 V\n3 3 V\n2 4 V\n3 3 V\n3 4 V\n3 3 V\n3 4 V\n3 4 V\n3 3
|
||||
V\n3 4 V\n2 4 V\n3 3 V\n3 4 V\n3 4 V\n3 4 V\n3 3 V\n3 4 V\n3 4 V\n2 4
|
||||
V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n2 4 V\n3 4
|
||||
V\ncurrentpoint stroke M\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n2 4
|
||||
V\n3 4 V\n3 5 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n2 4 V\n3 5 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n2 5 V\n3 4 V\n3 4 V\n3 4 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n3 4 V\n2 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4
|
||||
V\n3 4 V\n2 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 3 V\n2 4
|
||||
V\n3 4 V\n3 4 V\n3 3 V\n3 4 V\n3 4 V\n3 3 V\n3 4 V\n2 4 V\n3 3 V\n3 4
|
||||
V\n3 3 V\n3 4 V\n3 3 V\n3 3 V\n3 4 V\n2 3 V\n3 3 V\n3 4 V\n3 3 V\n3 3
|
||||
V\n3 3 V\n3 3 V\n3 3 V\n2 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3
|
||||
V\n3 3 V\n2 2 V\n3 3 V\n3 3 V\n3 2 V\n3 3 V\n3 2 V\n3 3 V\n3 2 V\n2 3
|
||||
V\n3 2 V\n3 3 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 3 V\n2 2 V\n3 2 V\n3 2
|
||||
V\n3 2 V\n3 2 V\n3 1 V\n3 2 V\n3 2 V\n2 2 V\n3 2 V\n3 1 V\n3 2 V\n3 1
|
||||
V\n3 2 V\n3 2 V\n3 1 V\n2 1 V\n3 2 V\n3 1 V\n3 2 V\n3 1 V\n3 1 V\n3 1
|
||||
V\n3 1 V\n2 2 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 0 V\n2 1
|
||||
V\n3 1 V\n3 1 V\n3 1 V\n3 0 V\n3 1 V\n3 1 V\n3 0 V\n2 1 V\n3 0 V\n3 1
|
||||
V\n3 0 V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n2 1 V\n3 0 V\n3 0 V\n3 1 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 1 V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 1 V\n3 0 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n2 1 V\n3 0 V\n3 0 V\n3 1 V\nstroke\ngrestore\nend\nshowpage\n>|ps>||||||>
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
x0=[2;5;10];
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
t = linspace (0,10,800);
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
function dx = butter (x ,t) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ dx(1)
|
||||
= -10.0*(x(1)-x(2)); \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ dx(2)
|
||||
= 28.0*x(1)-x(2)-x(1)*x(3); \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ dx(3)
|
||||
= 8.0/3.0*( x(1)*x(2) -x(3) ); \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ end;
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
y=lsode("butter",x0,t);
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
gset parametric;
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
gset set term postscript enhanced color eps;
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
gset xtics 10;gset ytics 10; gset ztics 10;
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
gset out "/tmp/butterfly.eps";
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
gsplot y title "Butterfly Effect"
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
\;
|
||||
</input>
|
||||
</session>
|
||||
|
||||
In order to embed the 3D graph, we first save it as butterfly.eps in /tmp
|
||||
directory. Then we can embed this EPS file into the worksheet using
|
||||
<apply|menu|Insert|Image>.
|
||||
|
||||
<expand|big-figure|<postscript|<tuple|<raw_data|%!PS-Adobe-2.0
|
||||
EPSF-2.0\n%%Title: /tmp/butterfly.eps\n%%Creator: gnuplot 3.7 patchlevel
|
||||
3\n%%CreationDate: Wed Jul \ 9 21:26:06 2003\n%%DocumentFonts:
|
||||
(atend)\n%%BoundingBox: 50 50 230 176\n%%Orientation:
|
||||
Portrait\n%%EndComments\n/gnudict 256 dict def\ngnudict begin\n/Color true
|
||||
def\n/Solid false def\n/gnulinewidth 5.000 def\n/userlinewidth gnulinewidth
|
||||
def\n/vshift -46 def\n/dl {10 mul} def\n/hpt_ 31.5 def\n/vpt_ 31.5
|
||||
def\n/hpt hpt_ def\n/vpt vpt_ def\n/M {moveto} bind def\n/L {lineto} bind
|
||||
def\n/R {rmoveto} bind def\n/V {rlineto} bind def\n/vpt2 vpt 2 mul
|
||||
def\n/hpt2 hpt 2 mul def\n/Lshow { currentpoint stroke M\n \ 0 vshift R
|
||||
show } def\n/Rshow { currentpoint stroke M\n \ dup stringwidth pop neg
|
||||
vshift R show } def\n/Cshow { currentpoint stroke M\n \ dup stringwidth pop
|
||||
-2 div vshift R show } def\n/UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt
|
||||
exch def\n \ /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def\n/DL { Color
|
||||
{setrgbcolor Solid {pop []} if 0 setdash }\n {pop pop pop Solid {pop []} if
|
||||
0 setdash} ifelse } def\n/BL { stroke userlinewidth 2 mul setlinewidth }
|
||||
def\n/AL { stroke userlinewidth 2 div setlinewidth } def\n/UL { dup
|
||||
gnulinewidth mul /userlinewidth exch def\n \ \ \ \ \ dup 1 lt {pop 1} if 10
|
||||
mul /udl exch def } def\n/PL { stroke userlinewidth setlinewidth }
|
||||
def\n/LTb { BL [] 0 0 0 DL } def\n/LTa { AL [1 udl mul 2 udl mul] 0 setdash
|
||||
0 0 0 setrgbcolor } def\n/LT0 { PL [] 1 0 0 DL } def\n/LT1 { PL [4 dl 2 dl]
|
||||
0 1 0 DL } def\n/LT2 { PL [2 dl 3 dl] 0 0 1 DL } def\n/LT3 { PL [1 dl 1.5
|
||||
dl] 1 0 1 DL } def\n/LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def\n/LT5 {
|
||||
PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def\n/LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0
|
||||
0 0 DL } def\n/LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL }
|
||||
def\n/LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL }
|
||||
def\n/Pnt { stroke [] 0 setdash\n \ \ gsave 1 setlinecap M 0 0 V stroke
|
||||
grestore } def\n/Dia { stroke [] 0 setdash 2 copy vpt add M\n \ hpt neg vpt
|
||||
neg V hpt vpt neg V\n \ hpt vpt V hpt neg vpt V closepath stroke\n \ Pnt }
|
||||
def\n/Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V\n \ currentpoint stroke
|
||||
M\n \ hpt neg vpt neg R hpt2 0 V stroke\n \ } def\n/Box { stroke [] 0
|
||||
setdash 2 copy exch hpt sub exch vpt add M\n \ 0 vpt2 neg V hpt2 0 V 0 vpt2
|
||||
V\n \ hpt2 neg 0 V closepath stroke\n \ Pnt } def\n/Crs { stroke [] 0
|
||||
setdash exch hpt sub exch vpt add M\n \ hpt2 vpt2 neg V currentpoint stroke
|
||||
M\n \ hpt2 neg 0 R hpt2 vpt2 V stroke } def\n/TriU { stroke [] 0 setdash 2
|
||||
copy vpt 1.12 mul add M\n \ hpt neg vpt -1.62 mul V\n \ hpt 2 mul 0 V\n
|
||||
\ hpt neg vpt 1.62 mul V closepath stroke\n \ Pnt \ } def\n/Star { 2 copy
|
||||
Pls Crs } def\n/BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M\n
|
||||
\ 0 vpt2 neg V \ hpt2 0 V \ 0 vpt2 V\n \ hpt2 neg 0 V \ closepath fill }
|
||||
def\n/TriUF { stroke [] 0 setdash vpt 1.12 mul add M\n \ hpt neg vpt -1.62
|
||||
mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt 1.62 mul V closepath fill }
|
||||
def\n/TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M\n \ hpt neg vpt
|
||||
1.62 mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt -1.62 mul V closepath stroke\n
|
||||
\ Pnt \ } def\n/TriDF { stroke [] 0 setdash vpt 1.12 mul sub M\n \ hpt neg
|
||||
vpt 1.62 mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt -1.62 mul V closepath
|
||||
fill} def\n/DiaF { stroke [] 0 setdash vpt add M\n \ hpt neg vpt neg V hpt
|
||||
vpt neg V\n \ hpt vpt V hpt neg vpt V closepath fill } def\n/Pent { stroke
|
||||
[] 0 setdash 2 copy gsave\n \ translate 0 hpt M 4 {72 rotate 0 hpt L}
|
||||
repeat\n \ closepath stroke grestore Pnt } def\n/PentF { stroke [] 0
|
||||
setdash gsave\n \ translate 0 hpt M 4 {72 rotate 0 hpt L} repeat\n
|
||||
\ closepath fill grestore } def\n/Circle { stroke [] 0 setdash 2 copy\n
|
||||
\ hpt 0 360 arc stroke Pnt } def\n/CircleF { stroke [] 0 setdash hpt 0 360
|
||||
arc fill } def\n/C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 \ arc } bind
|
||||
def\n/C1 { BL [] 0 setdash 2 copy \ \ \ \ \ \ \ moveto\n \ \ \ \ \ \ 2 copy
|
||||
\ vpt 0 90 arc closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc
|
||||
closepath } bind def\n/C2 { BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2
|
||||
copy \ vpt 90 180 arc closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0
|
||||
360 arc closepath } bind def\n/C3 { BL [] 0 setdash 2 copy moveto\n
|
||||
\ \ \ \ \ \ 2 copy \ vpt 0 180 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C4 { BL []
|
||||
0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 180 270 arc closepath
|
||||
fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C5
|
||||
{ BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 0 90 arc\n
|
||||
\ \ \ \ \ \ 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 180 270 arc closepath
|
||||
fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc } bind def\n/C6 { BL [] 0
|
||||
setdash 2 copy moveto\n \ \ \ \ \ 2 copy \ vpt 90 270 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C7 { BL [] 0
|
||||
setdash 2 copy moveto\n \ \ \ \ \ 2 copy \ vpt 0 270 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C8 { BL [] 0
|
||||
setdash 2 copy moveto\n \ \ \ \ \ 2 copy vpt 270 360 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C9 { BL [] 0
|
||||
setdash 2 copy moveto\n \ \ \ \ \ 2 copy \ vpt 270 450 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C10 { BL []
|
||||
0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill\n
|
||||
\ \ \ \ \ \ 2 copy moveto\n \ \ \ \ \ \ 2 copy vpt 90 180 arc closepath
|
||||
fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C11
|
||||
{ BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 0 180 arc
|
||||
closepath fill\n \ \ \ \ \ \ 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 270
|
||||
360 arc closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc
|
||||
closepath } bind def\n/C12 { BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2
|
||||
copy \ vpt 180 360 arc closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0
|
||||
360 arc closepath } bind def\n/C13 { BL [] 0 setdash \ 2 copy moveto\n
|
||||
\ \ \ \ \ \ 2 copy \ vpt 0 90 arc closepath fill\n \ \ \ \ \ \ 2 copy
|
||||
moveto\n \ \ \ \ \ \ 2 copy \ vpt 180 360 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C14 { BL
|
||||
[] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 90 360 arc closepath
|
||||
fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc } bind def\n/C15 { BL [] 0
|
||||
setdash 2 copy vpt 0 360 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/Rec \ \ {
|
||||
newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto\n \ \ \ \ \ \ neg
|
||||
0 rlineto closepath } bind def\n/Square { dup Rec } bind def\n/Bsquare {
|
||||
vpt sub exch vpt sub exch vpt2 Square } bind def\n/S0 { BL [] 0 setdash 2
|
||||
copy moveto 0 vpt rlineto BL Bsquare } bind def\n/S1 { BL [] 0 setdash 2
|
||||
copy vpt Square fill Bsquare } bind def\n/S2 { BL [] 0 setdash 2 copy exch
|
||||
vpt sub exch vpt Square fill Bsquare } bind def\n/S3 { BL [] 0 setdash 2
|
||||
copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def\n/S4 { BL [] 0
|
||||
setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind
|
||||
def\n/S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill\n \ \ \ \ \ \ exch
|
||||
vpt sub exch vpt sub vpt Square fill Bsquare } bind def\n/S6 { BL [] 0
|
||||
setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind
|
||||
def\n/S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec
|
||||
fill\n \ \ \ \ \ \ 2 copy vpt Square fill\n \ \ \ \ \ \ Bsquare } bind
|
||||
def\n/S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind
|
||||
def\n/S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind
|
||||
def\n/S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt
|
||||
sub exch vpt Square fill\n \ \ \ \ \ \ Bsquare } bind def\n/S11 { BL [] 0
|
||||
setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt
|
||||
Rec fill\n \ \ \ \ \ \ Bsquare } bind def\n/S12 { BL [] 0 setdash 2 copy
|
||||
exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def\n/S13 { BL
|
||||
[] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill\n
|
||||
\ \ \ \ \ \ 2 copy vpt Square fill Bsquare } bind def\n/S14 { BL [] 0
|
||||
setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill\n \ \ \ \ \ \ 2
|
||||
copy exch vpt sub exch vpt Square fill Bsquare } bind def\n/S15 { BL [] 0
|
||||
setdash 2 copy Bsquare fill Bsquare } bind def\n/D0 { gsave translate 45
|
||||
rotate 0 0 S0 stroke grestore } bind def\n/D1 { gsave translate 45 rotate 0
|
||||
0 S1 stroke grestore } bind def\n/D2 { gsave translate 45 rotate 0 0 S2
|
||||
stroke grestore } bind def\n/D3 { gsave translate 45 rotate 0 0 S3 stroke
|
||||
grestore } bind def\n/D4 { gsave translate 45 rotate 0 0 S4 stroke grestore
|
||||
} bind def\n/D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind
|
||||
def\n/D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def\n/D7
|
||||
{ gsave translate 45 rotate 0 0 S7 stroke grestore } bind def\n/D8 { gsave
|
||||
translate 45 rotate 0 0 S8 stroke grestore } bind def\n/D9 { gsave
|
||||
translate 45 rotate 0 0 S9 stroke grestore } bind def\n/D10 { gsave
|
||||
translate 45 rotate 0 0 S10 stroke grestore } bind def\n/D11 { gsave
|
||||
translate 45 rotate 0 0 S11 stroke grestore } bind def\n/D12 { gsave
|
||||
translate 45 rotate 0 0 S12 stroke grestore } bind def\n/D13 { gsave
|
||||
translate 45 rotate 0 0 S13 stroke grestore } bind def\n/D14 { gsave
|
||||
translate 45 rotate 0 0 S14 stroke grestore } bind def\n/D15 { gsave
|
||||
translate 45 rotate 0 0 S15 stroke grestore } bind def\n/DiaE { stroke [] 0
|
||||
setdash vpt add M\n \ hpt neg vpt neg V hpt vpt neg V\n \ hpt vpt V hpt neg
|
||||
vpt V closepath stroke } def\n/BoxE { stroke [] 0 setdash exch hpt sub exch
|
||||
vpt add M\n \ 0 vpt2 neg V hpt2 0 V 0 vpt2 V\n \ hpt2 neg 0 V closepath
|
||||
stroke } def\n/TriUE { stroke [] 0 setdash vpt 1.12 mul add M\n \ hpt neg
|
||||
vpt -1.62 mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt 1.62 mul V closepath
|
||||
stroke } def\n/TriDE { stroke [] 0 setdash vpt 1.12 mul sub M\n \ hpt neg
|
||||
vpt 1.62 mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt -1.62 mul V closepath
|
||||
stroke } def\n/PentE { stroke [] 0 setdash gsave\n \ translate 0 hpt M 4
|
||||
{72 rotate 0 hpt L} repeat\n \ closepath stroke grestore } def\n/CircE {
|
||||
stroke [] 0 setdash \n \ hpt 0 360 arc stroke } def\n/Opaque { gsave
|
||||
closepath 1 setgray fill grestore 0 setgray closepath } def\n/DiaW { stroke
|
||||
[] 0 setdash vpt add M\n \ hpt neg vpt neg V hpt vpt neg V\n \ hpt vpt V
|
||||
hpt neg vpt V Opaque stroke } def\n/BoxW { stroke [] 0 setdash exch hpt sub
|
||||
exch vpt add M\n \ 0 vpt2 neg V hpt2 0 V 0 vpt2 V\n \ hpt2 neg 0 V Opaque
|
||||
stroke } def\n/TriUW { stroke [] 0 setdash vpt 1.12 mul add M\n \ hpt neg
|
||||
vpt -1.62 mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt 1.62 mul V Opaque stroke
|
||||
} def\n/TriDW { stroke [] 0 setdash vpt 1.12 mul sub M\n \ hpt neg vpt 1.62
|
||||
mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt -1.62 mul V Opaque stroke }
|
||||
def\n/PentW { stroke [] 0 setdash gsave\n \ translate 0 hpt M 4 {72 rotate
|
||||
0 hpt L} repeat\n \ Opaque stroke grestore } def\n/CircW { stroke [] 0
|
||||
setdash \n \ hpt 0 360 arc Opaque stroke } def\n/BoxFill { gsave Rec 1
|
||||
setgray fill grestore } def\n/Symbol-Oblique /Symbol findfont [1 0 .167 1 0
|
||||
0] makefont\ndup length dict begin {1 index /FID eq {pop pop} {def} ifelse}
|
||||
forall\ncurrentdict end definefont pop\n/MFshow {{dup dup 0 get findfont
|
||||
exch 1 get scalefont setfont\n \ \ \ \ [ currentpoint ] exch dup 2 get 0
|
||||
exch rmoveto dup dup 5 get exch 4 get\n \ \ \ \ {show} {stringwidth pop 0
|
||||
rmoveto}ifelse dup 3 get\n \ \ \ \ {2 get neg 0 exch rmoveto pop} {pop
|
||||
aload pop moveto}ifelse} forall} bind def\n/MFwidth {0 exch {dup 3 get{dup
|
||||
dup 0 get findfont exch 1 get scalefont setfont\n \ \ \ \ \ 5 get
|
||||
stringwidth pop add}\n \ \ \ {pop} ifelse} forall} bind def\n/MLshow {
|
||||
currentpoint stroke M\n \ 0 exch R MFshow } bind def\n/MRshow {
|
||||
currentpoint stroke M\n \ exch dup MFwidth neg 3 -1 roll R MFshow }
|
||||
def\n/MCshow { currentpoint stroke M\n \ exch dup MFwidth -2 div 3 -1 roll
|
||||
R MFshow } def\nend\n%%EndProlog\ngnudict begin\ngsave\n50 50
|
||||
translate\n0.050 0.050 scale\n0 setgray\nnewpath\n(Helvetica) findfont 140
|
||||
scalefont setfont\n1.000 UL\nLTb\n1.000 UL\nLT0\n2802 2036 M\n[
|
||||
[(Helvetica) 140.0 0.0 true true (Butterfly Effect)]\n] -46.7 MRshow\n2886
|
||||
2036 M\n399 0 V\n1989 1344 M\n24 3 V\n27 5 V\n29 8 V\n31 10 V\n34 13 V\n36
|
||||
16 V\n39 20 V\n40 22 V\n41 27 V\n40 29 V\n39 33 V\n34 34 V\n27 35 V\n19 35
|
||||
V\n6 30 V\n-6 26 V\n-19 18 V\n-33 9 V\n-44 1 V\n-52 -8 V\n-58 -14 V\n-59
|
||||
-19 V\n-59 -21 V\n-55 -22 V\n-51 -22 V\n-46 -21 V\n-41 -18 V\n-35 -17
|
||||
V\n-30 -15 V\n-26 -13 V\n-23 -12 V\n-19 -11 V\n-16 -10 V\n-13 -10 V\n-12 -9
|
||||
V\n-11 -8 V\n-9 -9 V\n-8 -8 V\n-8 -9 V\n-7 -8 V\n-7 -8 V\n-7 -7 V\n-8 -8
|
||||
V\n-7 -8 V\n-8 -7 V\n-9 -7 V\n-9 -7 V\n-10 -7 V\n-11 -6 V\n-12 -6 V\n-13 -6
|
||||
V\n-14 -5 V\n-16 -4 V\n-17 -4 V\n-18 -3 V\n-20 -3 V\n-21 0 V\n-23 0 V\n-23
|
||||
2 V\n-25 4 V\n-25 5 V\n-26 9 V\n-25 11 V\n-24 13 V\n-22 17 V\n-19 20 V\n-15
|
||||
22 V\n-10 25 V\n-5 26 V\n2 27 V\n8 26 V\n15 25 V\n21 22 V\n26 19 V\n30 14
|
||||
V\n32 10 V\n34 6 V\n34 1 V\n33 -3 V\n31 -6 V\n29 -9 V\n27 -11 V\n23 -12
|
||||
V\n21 -13 V\n18 -13 V\n16 -14 V\n14 -14 V\n11 -13 V\n9 -13 V\n7 -13 V\n6
|
||||
-13 V\n4 -12 V\n4 -11 V\n2 -12 V\n0 -10 V\n0 -11 V\n0 -10 V\n-2 -9 V\n-3
|
||||
-10 V\n-3 -8 V\n-4 -9 V\n-5 -8 V\n-6 -8 V\n-7 -8 V\n-7 -8 V\n-9 -7 V\n-9 -7
|
||||
V\n-11 -6 V\n-12 -6 V\n-13 -6 V\n-15 -5 V\n-17 -5 V\n-18 -4 V\n-19 -4
|
||||
V\n-22 -2 V\n-23 -2 V\n-26 0 V\n-27 2 V\n-28 3 V\n-30 6 V\n-31 9 V\n-30 12
|
||||
V\n-30 16 V\n-28 19 V\n-24 24 V\n-20 27 V\n-14 30 V\n-6 33 V\n2 34 V\n10 33
|
||||
V\n19 32 V\n27 28 V\n34 23 V\n38 17 V\n41 11 V\n42 5 V\n42 0 V\n40 -5 V\n37
|
||||
-9 V\n34 -12 V\n31 -13 V\n27 -15 V\n23 -16 V\n21 -16 V\n17 -15 V\n15 -16
|
||||
V\n12 -14 V\n11 -15 V\n8 -14 V\n7 -13 V\n6 -12 V\n5 -12 V\n4 -12 V\n2 -10
|
||||
V\n3 -11 V\n2 -10 V\n1 -9 V\n1 -9 V\n0 -9 V\n1 -8 V\n0 -8 V\n-1 -8 V\n0 -7
|
||||
V\n-1 -7 V\n-1 -7 V\n-1 -7 V\n-1 -6 V\n-1 -7 V\n-2 -6 V\n-2 -6 V\n-2 -6
|
||||
V\n-2 -5 V\n-3 -6 V\n-3 -5 V\n-4 -5 V\n-4 -6 V\n-4 -5 V\n-5 -5 V\n-6 -5
|
||||
V\n-7 -4 V\n-7 -5 V\n-8 -5 V\n-10 -5 V\n-10 -5 V\n-12 -4 V\n-14 -5 V\n-15
|
||||
-4 V\n-17 -4 V\n-20 -4 V\n-21 -4 V\n-25 -3 V\n-27 -2 V\n-31 -1 V\n-33 1
|
||||
V\n-37 2 V\n-40 5 V\n-42 9 V\n-45 13 V\n-45 18 V\n-44 24 V\n-42 31 V\n-36
|
||||
38 V\n-27 45 V\n-16 51 V\n-2 55 V\n15 56 V\n29 53 V\n45 47 V\n55 37 V\n64
|
||||
26 V\n66 14 V\n67 4 V\n63 -6 V\n59 -12 V\n53 -17 V\n46 -20 V\n41 -21 V\n35
|
||||
-22 V\n29 -21 V\n26 -19 V\n21 -19 V\n18 -17 V\n16 -17 V\n14 -14 V\n11 -14
|
||||
V\n11 -12 V\n10 -11 V\n9 -11 V\n8 -9 V\n9 -8 V\n8 -7 V\n9 -7 V\n9 -6 V\n10
|
||||
-4 V\n10 -4 V\n11 -3 V\n12 -2 V\n12 -2 V\n14 0 V\n15 1 V\n16 2 V\n16 3
|
||||
V\n18 5 V\n19 5 V\n19 7 V\n20 9 V\n21 10 V\n20 11 V\n20 12 V\n19 14 V\n18
|
||||
14 V\n15 15 V\n13 14 V\n9 14 V\n5 14 V\n1 11 V\n-5 10 V\n-8 7 V\n-14 5
|
||||
V\n-17 2 V\n-21 -1 V\n-23 -4 V\n-25 -5 V\n-26 -8 V\n-26 -8 V\n-26 -10
|
||||
V\n-24 -9 V\n-23 -11 V\n-20 -10 V\n-19 -10 V\n-17 -9 V\n-15 -10 V\n-12 -9
|
||||
V\n-11 -8 V\n-8 -9 V\n-7 -8 V\n-6 -7 V\n-4 -8 V\n-2 -7 V\n-1 -6 V\n0 -6
|
||||
V\n1 -6 V\n2 -6 V\n3 -5 V\n5 -5 V\n5 -4 V\n7 -4 V\n7 -4 V\n9 -2 V\n10 -2
|
||||
V\n11 -2 V\n12 0 V\n14 0 V\n15 2 V\n16 2 V\n17 4 V\n19 5 V\n20 6 V\n21 7
|
||||
V\n22 10 V\n22 10 V\n23 13 V\n23 13 V\n22 16 V\n21 16 V\n18 17 V\n16 17
|
||||
V\n12 17 V\n7 15 V\n2 14 V\n-4 12 V\n-9 9 V\n-15 6 V\n-19 3 V\n-24 -1
|
||||
V\n-26 -4 V\n-29 -6 V\n-30 -9 V\n-30 -10 V\n-29 -11 V\n-28 -11 V\n-25 -12
|
||||
V\n-24 -11 V\n-21 -11 V\n-19 -11 V\n-16 -10 V\n-14 -10 V\n-12 -9 V\n-10 -9
|
||||
V\n-8 -8 V\n-6 -8 V\n-5 -8 V\n-3 -8 V\n-2 -7 V\n-1 -7 V\n0 -7 V\n1 -6 V\n3
|
||||
-6 V\n3 -6 V\n4 -5 V\n5 -5 V\n6 -4 V\n7 -4 V\n8 -4 V\n10 -3 V\n10 -2 V\n12
|
||||
-1 V\n13 -1 V\n14 1 V\n15 1 V\n18 2 V\n18 4 V\n20 5 V\n22 7 V\n23 8 V\n25
|
||||
10 V\n25 12 V\n27 13 V\n26 16 V\n26 17 V\n25 19 V\n23 20 V\n20 20 V\n16 20
|
||||
V\n10 20 V\n4 18 V\n-3 15 V\n-9 11 V\n-17 8 V\n-23 3 V\n-28 -1 V\n-32 -4
|
||||
V\n-34 -8 V\n-35 -11 V\n-36 -12 V\n-34 -13 V\n-32 -13 V\n-30 -14 V\n-27 -13
|
||||
V\n-24 -12 V\n-21 -12 V\n-19 -11 V\n-16 -11 V\n-13 -10 V\n-11 -9 V\n-9 -9
|
||||
V\n-8 -9 V\n-6 -8 V\n-4 -9 V\n-4 -8 V\n-2 -7 V\n-1 -8 V\n0 -7 V\n0 -7 V\n1
|
||||
-7 V\n2 -6 V\n3 -6 V\ncurrentpoint stroke M\n3 -6 V\n5 -6 V\n4 -5 V\n6 -5
|
||||
V\n6 -4 V\n8 -4 V\n8 -3 V\n9 -3 V\n11 -2 V\n11 -2 V\n13 -1 V\n14 1 V\n16 1
|
||||
V\n18 2 V\n19 3 V\n22 5 V\n23 7 V\n25 8 V\n28 10 V\n29 13 V\n30 14 V\n32 18
|
||||
V\n33 19 V\n32 22 V\n31 24 V\n29 26 V\n24 27 V\n18 26 V\n11 25 V\n3 22
|
||||
V\n-7 18 V\n-16 13 V\n-26 7 V\n-33 0 V\n-39 -4 V\n-43 -10 V\n-46 -13 V\n-45
|
||||
-15 V\n-44 -17 V\n-41 -17 V\n-37 -16 V\n-34 -16 V\n-30 -15 V\n-26 -14
|
||||
V\n-23 -12 V\n-19 -12 V\n-17 -11 V\n-14 -10 V\n-11 -10 V\n-10 -9 V\n-9 -9
|
||||
V\n-6 -9 V\n-6 -9 V\n-5 -8 V\n-4 -9 V\n-4 -8 V\n-3 -8 V\n-2 -8 V\n-3 -7
|
||||
V\n-2 -8 V\n-2 -7 V\n-2 -8 V\n-2 -7 V\n-2 -7 V\n-3 -7 V\n-2 -7 V\n-3 -6
|
||||
V\n-3 -7 V\n-3 -6 V\n-3 -6 V\n-4 -6 V\n-4 -6 V\n-5 -6 V\n-6 -6 V\n-6 -6
|
||||
V\n-7 -5 V\n-7 -6 V\n-9 -5 V\n-9 -5 V\n-11 -6 V\n-13 -5 V\n-13 -5 V\n-16 -4
|
||||
V\n-17 -5 V\n-20 -4 V\n-21 -3 V\n-25 -3 V\n-27 -2 V\n-29 -1 V\n-33 1 V\n-35
|
||||
3 V\n-38 5 V\n-40 9 V\n-42 13 V\n-41 18 V\n-41 24 V\n-37 30 V\n-32 36
|
||||
V\n-23 42 V\n-13 47 V\n1 51 V\n14 50 V\n28 47 V\n41 42 V\n51 33 V\n57 23
|
||||
V\n61 14 V\n60 3 V\n59 -4 V\n54 -11 V\n49 -15 V\n44 -19 V\n38 -19 V\n33 -20
|
||||
V\n28 -20 V\n24 -19 V\n20 -18 V\n18 -18 V\n15 -16 V\n13 -14 V\n11 -14 V\n10
|
||||
-13 V\n8 -12 V\n9 -11 V\n7 -10 V\n8 -9 V\n7 -8 V\n8 -7 V\n8 -7 V\n8 -6 V\n9
|
||||
-5 V\n9 -5 V\n11 -3 V\n11 -3 V\n12 -2 V\n13 -1 V\n15 0 V\n16 1 V\n17 2
|
||||
V\n18 4 V\n20 4 V\n20 7 V\n23 8 V\n23 9 V\n24 12 V\n24 12 V\n24 15 V\n24 16
|
||||
V\n22 17 V\n20 18 V\n17 19 V\n12 18 V\n8 17 V\n2 15 V\n-4 13 V\n-10 9
|
||||
V\n-16 6 V\n-21 3 V\n-26 -2 V\n-29 -4 V\n-31 -7 V\n-32 -10 V\n-32 -10
|
||||
V\n-31 -12 V\n-29 -12 V\n-27 -13 V\n-24 -12 V\n-22 -11 V\n-20 -11 V\n-17
|
||||
-11 V\n-14 -10 V\n-12 -9 V\n-10 -9 V\n-9 -9 V\n-6 -8 V\n-5 -9 V\n-4 -7
|
||||
V\n-2 -8 V\n-2 -7 V\n0 -7 V\n1 -7 V\n2 -6 V\n2 -6 V\n4 -6 V\n4 -5 V\n6 -5
|
||||
V\n6 -5 V\n7 -4 V\n8 -3 V\n9 -3 V\n10 -3 V\n12 -1 V\n13 -1 V\n14 0 V\n16 1
|
||||
V\n17 2 V\n19 4 V\n20 5 V\n22 6 V\n24 8 V\n26 10 V\n27 12 V\n27 14 V\n29 16
|
||||
V\n29 18 V\n27 19 V\n26 22 V\n24 22 V\n19 23 V\n13 22 V\n7 20 V\n0 18 V\n-8
|
||||
14 V\n-15 10 V\n-24 5 V\n-29 0 V\n-34 -5 V\n-37 -8 V\n-39 -11 V\n-39 -13
|
||||
V\n-37 -14 V\n-36 -14 V\n-33 -15 V\n-30 -14 V\n-26 -13 V\n-23 -13 V\n-21
|
||||
-12 V\n-17 -11 V\n-15 -10 V\n-12 -10 V\n-11 -10 V\n-8 -9 V\n-7 -8 V\n-6 -9
|
||||
V\n-4 -8 V\n-3 -8 V\n-2 -8 V\n-2 -8 V\n-1 -7 V\n0 -8 V\n0 -7 V\n1 -7 V\n2
|
||||
-6 V\n2 -6 V\n2 -7 V\n3 -5 V\n3 -6 V\n4 -5 V\n5 -5 V\n5 -5 V\n6 -4 V\n7 -4
|
||||
V\n7 -3 V\n8 -3 V\n10 -2 V\n10 -2 V\n12 -1 V\n13 0 V\n15 1 V\n16 1 V\n18 3
|
||||
V\n21 4 V\n22 5 V\n25 7 V\n27 9 V\n30 12 V\n32 13 V\n34 17 V\n36 19 V\n37
|
||||
22 V\n37 25 V\n37 28 V\n33 30 V\n29 31 V\n23 32 V\n14 30 V\n4 26 V\n-8 22
|
||||
V\n-20 15 V\n-31 8 V\n-40 0 V\n-47 -7 V\n-52 -13 V\n-54 -17 V\n-52 -19
|
||||
V\n-50 -20 V\n-47 -19 V\n-42 -19 V\n-37 -18 V\n-33 -15 V\n-28 -15 V\n-24
|
||||
-13 V\n-21 -11 V\n-18 -11 V\n-15 -11 V\n-13 -9 V\n-11 -10 V\n-9 -9 V\n-8 -8
|
||||
V\n-7 -9 V\n-7 -9 V\n-6 -8 V\n-5 -8 V\n-6 -8 V\n-6 -8 V\n-5 -8 V\n-6 -8
|
||||
V\n-6 -7 V\n-7 -8 V\n-7 -7 V\n-8 -7 V\n-9 -7 V\n-9 -7 V\n-11 -6 V\n-11 -7
|
||||
V\n-13 -6 V\n-15 -5 V\n-15 -5 V\n-17 -5 V\n-19 -3 V\n-21 -3 V\n-22 -2
|
||||
V\n-24 -1 V\n-26 0 V\n-28 3 V\n-29 5 V\n-30 7 V\n-31 10 V\n-30 14 V\n-29 17
|
||||
V\n-26 21 V\n-22 25 V\n-18 28 V\n-10 31 V\n-3 34 V\n5 33 V\n15 33 V\n22 30
|
||||
V\n30 26 V\n35 20 V\n40 15 V\n41 8 V\n42 3 V\n41 -3 V\n39 -6 V\n35 -11
|
||||
V\n33 -12 V\n29 -14 V\n25 -15 V\n22 -16 V\n19 -16 V\n17 -15 V\n13 -15 V\n12
|
||||
-15 V\n9 -14 V\n8 -13 V\n7 -13 V\n5 -13 V\n4 -11 V\n3 -11 V\n3 -11 V\n2 -10
|
||||
V\n1 -10 V\n1 -9 V\n1 -9 V\n0 -9 V\n0 -8 V\n0 -8 V\n-1 -7 V\n0 -8 V\n-1 -7
|
||||
V\n-1 -7 V\n-2 -6 V\n-2 -7 V\n-1 -6 V\n-3 -6 V\n-2 -6 V\n-3 -6 V\n-3 -5
|
||||
V\n-4 -6 V\n-4 -5 V\n-4 -6 V\n-5 -5 V\n-6 -5 V\n-7 -5 V\n-7 -5 V\n-9 -5
|
||||
V\n-9 -5 V\n-11 -5 V\n-12 -5 V\n-14 -5 V\n-15 -4 V\n-17 -4 V\n-20 -4 V\n-22
|
||||
-4 V\n-24 -3 V\n-28 -2 V\n-30 -1 V\n-33 1 V\n-37 3 V\ncurrentpoint stroke
|
||||
M\n-39 5 V\n-42 9 V\n1.000 UL\nLTb\n3024 948 M\n2128 464 L\n575 743 M\n2128
|
||||
464 L\n575 743 M\n896 484 V\n3024 948 M\n1471 1227 L\n575 743 M\n0 968 V\n0
|
||||
-968 R\n55 29 V\n stroke\n501 676 M\n[ [(Helvetica) 140.0 0.0 true true
|
||||
(-20)]\n] -46.7 MCshow\n1471 1227 M\n-56 -30 V\n963 673 M\n55 29 V\n
|
||||
stroke\n889 606 M\n[ [(Helvetica) 140.0 0.0 true true (-10)]\n] -46.7
|
||||
MCshow\n1860 1157 M\n-56 -30 V\n1351 603 M\n55 29 V\n stroke\n1277 536 M\n[
|
||||
[(Helvetica) 140.0 0.0 true true ( 0)]\n] -46.7 MCshow\n2248 1087 M\n-56
|
||||
-30 V\n1739 533 M\n55 29 V\n stroke\n1665 466 M\n[ [(Helvetica) 140.0 0.0
|
||||
true true ( 10)]\n] -46.7 MCshow\n2636 1018 M\n-56 -30 V\n2128 464 M\n55 29
|
||||
V\n stroke\n2054 397 M\n[ [(Helvetica) 140.0 0.0 true true ( 20)]\n] -46.7
|
||||
MCshow\n3024 948 M\n-56 -30 V\n2128 464 M\n-63 11 V\n stroke\n2210 439 M\n[
|
||||
[(Helvetica) 140.0 0.0 true true (-20)]\n] -46.7 MLshow\n575 743 M\n62 -12
|
||||
V\n2352 585 M\n-63 11 V\n stroke\n2434 560 M\n[ [(Helvetica) 140.0 0.0 true
|
||||
true (-10)]\n] -46.7 MLshow\n799 864 M\n62 -12 V\n2576 706 M\n-63 11 V\n
|
||||
stroke\n2658 681 M\n[ [(Helvetica) 140.0 0.0 true true ( 0)]\n] -46.7
|
||||
MLshow\n1023 985 M\n62 -12 V\n2800 827 M\n-63 11 V\n stroke\n2882 802 M\n[
|
||||
[(Helvetica) 140.0 0.0 true true ( 10)]\n] -46.7 MLshow\n1247 1106 M\n62
|
||||
-12 V\n3024 948 M\n-63 11 V\n stroke\n3106 923 M\n[ [(Helvetica) 140.0 0.0
|
||||
true true ( 20)]\n] -46.7 MLshow\n1471 1227 M\n62 -12 V\n575 1066 M\n63 0
|
||||
V\n stroke\n449 1066 M\n[ [(Helvetica) 140.0 0.0 true true ( 0)]\n] -46.7
|
||||
MRshow\n575 1195 M\n63 0 V\n stroke\n449 1195 M\n[ [(Helvetica) 140.0 0.0
|
||||
true true ( 10)]\n] -46.7 MRshow\n575 1324 M\n63 0 V\n stroke\n449 1324
|
||||
M\n[ [(Helvetica) 140.0 0.0 true true ( 20)]\n] -46.7 MRshow\n575 1453
|
||||
M\n63 0 V\n stroke\n449 1453 M\n[ [(Helvetica) 140.0 0.0 true true (
|
||||
30)]\n] -46.7 MRshow\n575 1582 M\n63 0 V\n stroke\n449 1582 M\n[
|
||||
[(Helvetica) 140.0 0.0 true true ( 40)]\n] -46.7 MRshow\n575 1711 M\n63 0
|
||||
V\n stroke\n449 1711 M\n[ [(Helvetica) 140.0 0.0 true true ( 50)]\n] -46.7
|
||||
MRshow\nstroke\ngrestore\nend\nshowpage\n>|eps>||||||>|Embedded 3D graph
|
||||
from Octave.>
|
||||
|
||||
<apply|tmdoc-copyright|2003|Chu-Ching Huang|Joris van der Hoeven>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|toc-10|<tuple|8.2|?>>
|
||||
<associate|toc-11|<tuple|8.3|?>>
|
||||
<associate|gly-1|<tuple|1|?>>
|
||||
<associate|idx-1|<tuple|<uninit>|?>>
|
||||
<associate|toc-12|<tuple|8.4|?>>
|
||||
<associate|gly-2|<tuple|2|?>>
|
||||
<associate|idx-2|<tuple|<uninit>|?>>
|
||||
<associate|gly-3|<tuple|3|?>>
|
||||
<associate|toc-13|<tuple|8.5|?>>
|
||||
<associate|idx-3|<tuple|2|?>>
|
||||
<associate|gly-4|<tuple|4|?>>
|
||||
<associate|toc-14|<tuple|8.6|?>>
|
||||
<associate|idx-4|<tuple|7|?>>
|
||||
<associate|gly-5|<tuple|5|?>>
|
||||
<associate|toc-15|<tuple|8.7|?>>
|
||||
<associate|idx-5|<tuple|8|?>>
|
||||
<associate|toc-16|<tuple|8.8|?>>
|
||||
<associate|gly-6|<tuple|6|?>>
|
||||
<associate|gly-7|<tuple|7|?>>
|
||||
<associate|gly-8|<tuple|8|?>>
|
||||
<associate|gly-9|<tuple|9|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|8.1|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
||||
<\auxiliary>
|
||||
<\collection>
|
||||
<\associate|figure>
|
||||
<tuple|normal||<pageref|gly-1>>
|
||||
</associate>
|
||||
<\associate|idx>
|
||||
<tuple|<tuple|<with|font family|<quote|ss>|Text>|<with|font
|
||||
family|<quote|ss>|Session>|<with|font
|
||||
family|<quote|ss>|Octave>>|<pageref|idx-1>>
|
||||
|
||||
<tuple|<tuple|<with|font family|<quote|ss>|Octave>>|<pageref|idx-2>>
|
||||
</associate>
|
||||
</collection>
|
||||
</auxiliary>
|
||||
|
|
@ -0,0 +1,946 @@
|
|||
<TeXmacs|1.0.1.18>
|
||||
|
||||
<style|<tuple|tmdoc|maxima>>
|
||||
|
||||
<\body>
|
||||
<\expand|tmdoc-title>
|
||||
Utilizzare sessioni di Octave in <TeXmacs>
|
||||
</expand>
|
||||
|
||||
GNU <name|Octave> č un clone libero di <name|Matlab>, che puň essere
|
||||
scaricato da
|
||||
|
||||
<\verbatim>
|
||||
\ \ \ \ http://octave.sf.net
|
||||
</verbatim>
|
||||
|
||||
Si dŕ inizio ad una sessione di <name|Octave> utilizzando
|
||||
<apply|menu|Insert|Session|Octave>. Qui di seguito viene mostrato come
|
||||
svolgere delle operazioni di algebra lineare con <name|Octave>, come la
|
||||
moltiplicazione tra matrici, l'inversione e la diagonalizzazione. Si noti
|
||||
che č necessario (per il momento) utilizzare il comando <verbatim|tmdisp>
|
||||
per visualizzare l'output in formato matematico.
|
||||
|
||||
<\session|octave|default>
|
||||
<\output>
|
||||
GNU Octave, version 2.1.40 (i386-redhat-linux-gnu).
|
||||
|
||||
Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002 John W. Eaton.
|
||||
|
||||
This is free software; see the source code for copying conditions.
|
||||
|
||||
There is ABSOLUTELY NO WARRANTY; not even for MERCHANTIBILITY or
|
||||
|
||||
FITNESS FOR A PARTICULAR PURPOSE.
|
||||
|
||||
\;
|
||||
|
||||
Report bugs to \<less\>bug-octave@bevo.che.wisc.edu\<gtr\>.
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
A=[1 0 0 0;2 2 0 0;-1 0 2 0;0 -1 2 2]
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
A =
|
||||
|
||||
\;
|
||||
|
||||
\ \ \ 1 \ \ 0 \ \ 0 \ \ 0
|
||||
|
||||
\ \ \ 2 \ \ 2 \ \ 0 \ \ 0
|
||||
|
||||
\ \ -1 \ \ 0 \ \ 2 \ \ 0
|
||||
|
||||
\ \ \ 0 \ -1 \ \ 2 \ \ 2
|
||||
|
||||
\;
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
tmdisp(A^2)
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<with|mode|math|formula style|true|<matrix|<tformat|<table|<row|<cell|<with|mode|math|1>>|<cell|<with|mode|math|0>>|<cell|<with|mode|math|0>>|<cell|<with|mode|math|0>>>|<row|<cell|<with|mode|math|6>>|<cell|<with|mode|math|4>>|<cell|<with|mode|math|0>>|<cell|<with|mode|math|0>>>|<row|<cell|<with|mode|math|-3>>|<cell|<with|mode|math|0>>|<cell|<with|mode|math|4>>|<cell|<with|mode|math|0>>>|<row|<cell|<with|mode|math|-4>>|<cell|<with|mode|math|-4>>|<cell|<with|mode|math|8>>|<cell|<with|mode|math|4>>>>>>>
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
tmdisp(A.^2)
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<with|mode|math|formula style|true|<matrix|<tformat|<table|<row|<cell|<with|mode|math|1>>|<cell|<with|mode|math|0>>|<cell|<with|mode|math|0>>|<cell|<with|mode|math|0>>>|<row|<cell|<with|mode|math|4>>|<cell|<with|mode|math|4>>|<cell|<with|mode|math|0>>|<cell|<with|mode|math|0>>>|<row|<cell|<with|mode|math|1>>|<cell|<with|mode|math|0>>|<cell|<with|mode|math|4>>|<cell|<with|mode|math|0>>>|<row|<cell|<with|mode|math|0>>|<cell|<with|mode|math|1>>|<cell|<with|mode|math|4>>|<cell|<with|mode|math|4>>>>>>>
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
[u,v]=eig(A)
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
u =
|
||||
|
||||
\;
|
||||
|
||||
\ \ \ 0.00000 \ \ 0.00000 \ \ 0.00000 \ \ 0.21320
|
||||
|
||||
\ \ \ 0.00000 \ \ 0.00000 \ \ 0.00000 \ -0.42640
|
||||
|
||||
\ \ \ 0.00000 \ \ 0.00000 \ \ 0.00000 \ \ 0.21320
|
||||
|
||||
\ \ \ 1.00000 \ \ 1.00000 \ -1.00000 \ -0.85280
|
||||
|
||||
\;
|
||||
|
||||
v =
|
||||
|
||||
\;
|
||||
|
||||
\ \ 2 \ 0 \ 0 \ 0
|
||||
|
||||
\ \ 0 \ 2 \ 0 \ 0
|
||||
|
||||
\ \ 0 \ 0 \ 2 \ 0
|
||||
|
||||
\ \ 0 \ 0 \ 0 \ 1
|
||||
|
||||
\;
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
Q=[1 0 0 0;-2 2 1 0;1 1 0 0;-4 0 0 -1]
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
Q =
|
||||
|
||||
\;
|
||||
|
||||
\ \ \ 1 \ \ 0 \ \ 0 \ \ 0
|
||||
|
||||
\ \ -2 \ \ 2 \ \ 1 \ \ 0
|
||||
|
||||
\ \ \ 1 \ \ 1 \ \ 0 \ \ 0
|
||||
|
||||
\ \ -4 \ \ 0 \ \ 0 \ -1
|
||||
|
||||
\;
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
P=inv(Q)
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
P =
|
||||
|
||||
\;
|
||||
|
||||
\ \ \ 1 \ -0 \ \ 0 \ \ 0
|
||||
|
||||
\ \ -1 \ \ 0 \ \ 1 \ \ 0
|
||||
|
||||
\ \ \ 4 \ \ 1 \ -2 \ \ 0
|
||||
|
||||
\ \ -4 \ \ 0 \ \ 0 \ -1
|
||||
|
||||
\;
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
P*A*Q
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
ans =
|
||||
|
||||
\;
|
||||
|
||||
\ \ 1 \ 0 \ 0 \ 0
|
||||
|
||||
\ \ 0 \ 2 \ 0 \ 0
|
||||
|
||||
\ \ 0 \ 0 \ 2 \ 0
|
||||
|
||||
\ \ 0 \ 0 \ 1 \ 2
|
||||
|
||||
\;
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
\;
|
||||
</input>
|
||||
</session>
|
||||
|
||||
La seconda parte mostra le capacitŕ grafiche di Octave, grafici 2D e 3D. I
|
||||
grafici 2D possono essere inseriti automaticamente nel proprio foglio di
|
||||
lavoro, ma ciň non č possibile per i grafici 3D.
|
||||
|
||||
<\session|octave|default>
|
||||
<\input|octave\<gtr\> >
|
||||
x=linspace(-10,10,1000);
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
y=x+sin(x);
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
plot(x,y,";Function y=x+sin(x);");
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
\;
|
||||
|
||||
\;
|
||||
|
||||
<postscript|<tuple|<raw_data|%!PS-Adobe-2.0 EPSF-2.0\n%%Title:
|
||||
/tmp/tmplot.eps\n%%Creator: gnuplot 3.7 patchlevel 2\n%%CreationDate:
|
||||
Wed Jul 23 17:35:03 2003\n%%DocumentFonts: (atend)\n%%BoundingBox: 50
|
||||
50 230 176\n%%Orientation: Portrait\n%%EndComments\n/gnudict 256 dict
|
||||
def\ngnudict begin\n/Color true def\n/Solid false def\n/gnulinewidth
|
||||
5.000 def\n/userlinewidth gnulinewidth def\n/vshift -46 def\n/dl {10
|
||||
mul} def\n/hpt_ 31.5 def\n/vpt_ 31.5 def\n/hpt hpt_ def\n/vpt vpt_
|
||||
def\n/M {moveto} bind def\n/L {lineto} bind def\n/R {rmoveto} bind
|
||||
def\n/V {rlineto} bind def\n/vpt2 vpt 2 mul def\n/hpt2 hpt 2 mul
|
||||
def\n/Lshow { currentpoint stroke M\n \ 0 vshift R show } def\n/Rshow {
|
||||
currentpoint stroke M\n \ dup stringwidth pop neg vshift R show }
|
||||
def\n/Cshow { currentpoint stroke M\n \ dup stringwidth pop -2 div
|
||||
vshift R show } def\n/UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt
|
||||
exch def\n \ /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def\n/DL { Color
|
||||
{setrgbcolor Solid {pop []} if 0 setdash }\n {pop pop pop Solid {pop
|
||||
[]} if 0 setdash} ifelse } def\n/BL { stroke userlinewidth 2 mul
|
||||
setlinewidth } def\n/AL { stroke userlinewidth 2 div setlinewidth }
|
||||
def\n/UL { dup gnulinewidth mul /userlinewidth exch def\n \ \ \ \ \ dup
|
||||
1 lt {pop 1} if 10 mul /udl exch def } def\n/PL { stroke userlinewidth
|
||||
setlinewidth } def\n/LTb { BL [] 0 0 0 DL } def\n/LTa { AL [1 udl mul 2
|
||||
udl mul] 0 setdash 0 0 0 setrgbcolor } def\n/LT0 { PL [] 1 0 0 DL }
|
||||
def\n/LT1 { PL [4 dl 2 dl] 0 1 0 DL } def\n/LT2 { PL [2 dl 3 dl] 0 0 1
|
||||
DL } def\n/LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def\n/LT4 { PL [5 dl 2 dl
|
||||
1 dl 2 dl] 0 1 1 DL } def\n/LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL }
|
||||
def\n/LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def\n/LT7 { PL [2 dl 2
|
||||
dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def\n/LT8 { PL [2 dl 2 dl 2 dl 2
|
||||
dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def\n/Pnt { stroke [] 0
|
||||
setdash\n \ \ gsave 1 setlinecap M 0 0 V stroke grestore } def\n/Dia {
|
||||
stroke [] 0 setdash 2 copy vpt add M\n \ hpt neg vpt neg V hpt vpt neg
|
||||
V\n \ hpt vpt V hpt neg vpt V closepath stroke\n \ Pnt } def\n/Pls {
|
||||
stroke [] 0 setdash vpt sub M 0 vpt2 V\n \ currentpoint stroke M\n
|
||||
\ hpt neg vpt neg R hpt2 0 V stroke\n \ } def\n/Box { stroke [] 0
|
||||
setdash 2 copy exch hpt sub exch vpt add M\n \ 0 vpt2 neg V hpt2 0 V 0
|
||||
vpt2 V\n \ hpt2 neg 0 V closepath stroke\n \ Pnt } def\n/Crs { stroke
|
||||
[] 0 setdash exch hpt sub exch vpt add M\n \ hpt2 vpt2 neg V
|
||||
currentpoint stroke M\n \ hpt2 neg 0 R hpt2 vpt2 V stroke } def\n/TriU
|
||||
{ stroke [] 0 setdash 2 copy vpt 1.12 mul add M\n \ hpt neg vpt -1.62
|
||||
mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt 1.62 mul V closepath stroke\n
|
||||
\ Pnt \ } def\n/Star { 2 copy Pls Crs } def\n/BoxF { stroke [] 0
|
||||
setdash exch hpt sub exch vpt add M\n \ 0 vpt2 neg V \ hpt2 0 V \ 0
|
||||
vpt2 V\n \ hpt2 neg 0 V \ closepath fill } def\n/TriUF { stroke [] 0
|
||||
setdash vpt 1.12 mul add M\n \ hpt neg vpt -1.62 mul V\n \ hpt 2 mul 0
|
||||
V\n \ hpt neg vpt 1.62 mul V closepath fill } def\n/TriD { stroke [] 0
|
||||
setdash 2 copy vpt 1.12 mul sub M\n \ hpt neg vpt 1.62 mul V\n \ hpt 2
|
||||
mul 0 V\n \ hpt neg vpt -1.62 mul V closepath stroke\n \ Pnt \ }
|
||||
def\n/TriDF { stroke [] 0 setdash vpt 1.12 mul sub M\n \ hpt neg vpt
|
||||
1.62 mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt -1.62 mul V closepath
|
||||
fill} def\n/DiaF { stroke [] 0 setdash vpt add M\n \ hpt neg vpt neg V
|
||||
hpt vpt neg V\n \ hpt vpt V hpt neg vpt V closepath fill } def\n/Pent {
|
||||
stroke [] 0 setdash 2 copy gsave\n \ translate 0 hpt M 4 {72 rotate 0
|
||||
hpt L} repeat\n \ closepath stroke grestore Pnt } def\n/PentF { stroke
|
||||
[] 0 setdash gsave\n \ translate 0 hpt M 4 {72 rotate 0 hpt L} repeat\n
|
||||
\ closepath fill grestore } def\n/Circle { stroke [] 0 setdash 2 copy\n
|
||||
\ hpt 0 360 arc stroke Pnt } def\n/CircleF { stroke [] 0 setdash hpt 0
|
||||
360 arc fill } def\n/C0 { BL [] 0 setdash 2 copy moveto vpt 90 450
|
||||
\ arc } bind def\n/C1 { BL [] 0 setdash 2 copy \ \ \ \ \ \ \ moveto\n
|
||||
\ \ \ \ \ \ 2 copy \ vpt 0 90 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C2 {
|
||||
BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 90 180 arc
|
||||
closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath }
|
||||
bind def\n/C3 { BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy
|
||||
\ vpt 0 180 arc closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360
|
||||
arc closepath } bind def\n/C4 { BL [] 0 setdash 2 copy moveto\n
|
||||
\ \ \ \ \ \ 2 copy \ vpt 180 270 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C5 {
|
||||
BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 0 90 arc\n
|
||||
\ \ \ \ \ \ 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 180 270 arc
|
||||
closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc } bind
|
||||
def\n/C6 { BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ 2 copy \ vpt 90
|
||||
270 arc closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc
|
||||
closepath } bind def\n/C7 { BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ 2
|
||||
copy \ vpt 0 270 arc closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0
|
||||
360 arc closepath } bind def\n/C8 { BL [] 0 setdash 2 copy moveto\n
|
||||
\ \ \ \ \ 2 copy vpt 270 360 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C9 { BL
|
||||
[] 0 setdash 2 copy moveto\n \ \ \ \ \ 2 copy \ vpt 270 450 arc
|
||||
closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath }
|
||||
bind def\n/C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc
|
||||
closepath fill\n \ \ \ \ \ \ 2 copy moveto\n \ \ \ \ \ \ 2 copy vpt 90
|
||||
180 arc closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc
|
||||
closepath } bind def\n/C11 { BL [] 0 setdash 2 copy moveto\n
|
||||
\ \ \ \ \ \ 2 copy \ vpt 0 180 arc closepath fill\n \ \ \ \ \ \ 2 copy
|
||||
moveto\n \ \ \ \ \ \ 2 copy \ vpt 270 360 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C12 {
|
||||
BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 180 360 arc
|
||||
closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath }
|
||||
bind def\n/C13 { BL [] 0 setdash \ 2 copy moveto\n \ \ \ \ \ \ 2 copy
|
||||
\ vpt 0 90 arc closepath fill\n \ \ \ \ \ \ 2 copy moveto\n
|
||||
\ \ \ \ \ \ 2 copy \ vpt 180 360 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C14 {
|
||||
BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 90 360 arc
|
||||
closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc } bind
|
||||
def\n/C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/Rec
|
||||
\ \ { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto\n
|
||||
\ \ \ \ \ \ neg 0 rlineto closepath } bind def\n/Square { dup Rec }
|
||||
bind def\n/Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind
|
||||
def\n/S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare }
|
||||
bind def\n/S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind
|
||||
def\n/S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill
|
||||
Bsquare } bind def\n/S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2
|
||||
vpt Rec fill Bsquare } bind def\n/S4 { BL [] 0 setdash 2 copy exch vpt
|
||||
sub exch vpt sub vpt Square fill Bsquare } bind def\n/S5 { BL [] 0
|
||||
setdash 2 copy 2 copy vpt Square fill\n \ \ \ \ \ \ exch vpt sub exch
|
||||
vpt sub vpt Square fill Bsquare } bind def\n/S6 { BL [] 0 setdash 2
|
||||
copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind
|
||||
def\n/S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2
|
||||
Rec fill\n \ \ \ \ \ \ 2 copy vpt Square fill\n \ \ \ \ \ \ Bsquare }
|
||||
bind def\n/S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare
|
||||
} bind def\n/S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill
|
||||
Bsquare } bind def\n/S10 { BL [] 0 setdash 2 copy vpt sub vpt Square
|
||||
fill 2 copy exch vpt sub exch vpt Square fill\n \ \ \ \ \ \ Bsquare }
|
||||
bind def\n/S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy
|
||||
exch vpt sub exch vpt2 vpt Rec fill\n \ \ \ \ \ \ Bsquare } bind
|
||||
def\n/S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt
|
||||
Rec fill Bsquare } bind def\n/S13 { BL [] 0 setdash 2 copy exch vpt sub
|
||||
exch vpt sub vpt2 vpt Rec fill\n \ \ \ \ \ \ 2 copy vpt Square fill
|
||||
Bsquare } bind def\n/S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt
|
||||
sub vpt2 vpt Rec fill\n \ \ \ \ \ \ 2 copy exch vpt sub exch vpt Square
|
||||
fill Bsquare } bind def\n/S15 { BL [] 0 setdash 2 copy Bsquare fill
|
||||
Bsquare } bind def\n/D0 { gsave translate 45 rotate 0 0 S0 stroke
|
||||
grestore } bind def\n/D1 { gsave translate 45 rotate 0 0 S1 stroke
|
||||
grestore } bind def\n/D2 { gsave translate 45 rotate 0 0 S2 stroke
|
||||
grestore } bind def\n/D3 { gsave translate 45 rotate 0 0 S3 stroke
|
||||
grestore } bind def\n/D4 { gsave translate 45 rotate 0 0 S4 stroke
|
||||
grestore } bind def\n/D5 { gsave translate 45 rotate 0 0 S5 stroke
|
||||
grestore } bind def\n/D6 { gsave translate 45 rotate 0 0 S6 stroke
|
||||
grestore } bind def\n/D7 { gsave translate 45 rotate 0 0 S7 stroke
|
||||
grestore } bind def\n/D8 { gsave translate 45 rotate 0 0 S8 stroke
|
||||
grestore } bind def\n/D9 { gsave translate 45 rotate 0 0 S9 stroke
|
||||
grestore } bind def\n/D10 { gsave translate 45 rotate 0 0 S10 stroke
|
||||
grestore } bind def\n/D11 { gsave translate 45 rotate 0 0 S11 stroke
|
||||
grestore } bind def\n/D12 { gsave translate 45 rotate 0 0 S12 stroke
|
||||
grestore } bind def\n/D13 { gsave translate 45 rotate 0 0 S13 stroke
|
||||
grestore } bind def\n/D14 { gsave translate 45 rotate 0 0 S14 stroke
|
||||
grestore } bind def\n/D15 { gsave translate 45 rotate 0 0 S15 stroke
|
||||
grestore } bind def\n/DiaE { stroke [] 0 setdash vpt add M\n \ hpt neg
|
||||
vpt neg V hpt vpt neg V\n \ hpt vpt V hpt neg vpt V closepath stroke }
|
||||
def\n/BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M\n \ 0 vpt2
|
||||
neg V hpt2 0 V 0 vpt2 V\n \ hpt2 neg 0 V closepath stroke } def\n/TriUE
|
||||
{ stroke [] 0 setdash vpt 1.12 mul add M\n \ hpt neg vpt -1.62 mul V\n
|
||||
\ hpt 2 mul 0 V\n \ hpt neg vpt 1.62 mul V closepath stroke }
|
||||
def\n/TriDE { stroke [] 0 setdash vpt 1.12 mul sub M\n \ hpt neg vpt
|
||||
1.62 mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt -1.62 mul V closepath
|
||||
stroke } def\n/PentE { stroke [] 0 setdash gsave\n \ translate 0 hpt M
|
||||
4 {72 rotate 0 hpt L} repeat\n \ closepath stroke grestore }
|
||||
def\n/CircE { stroke [] 0 setdash \n \ hpt 0 360 arc stroke }
|
||||
def\n/Opaque { gsave closepath 1 setgray fill grestore 0 setgray
|
||||
closepath } def\n/DiaW { stroke [] 0 setdash vpt add M\n \ hpt neg vpt
|
||||
neg V hpt vpt neg V\n \ hpt vpt V hpt neg vpt V Opaque stroke }
|
||||
def\n/BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M\n \ 0 vpt2
|
||||
neg V hpt2 0 V 0 vpt2 V\n \ hpt2 neg 0 V Opaque stroke } def\n/TriUW {
|
||||
stroke [] 0 setdash vpt 1.12 mul add M\n \ hpt neg vpt -1.62 mul V\n
|
||||
\ hpt 2 mul 0 V\n \ hpt neg vpt 1.62 mul V Opaque stroke } def\n/TriDW
|
||||
{ stroke [] 0 setdash vpt 1.12 mul sub M\n \ hpt neg vpt 1.62 mul V\n
|
||||
\ hpt 2 mul 0 V\n \ hpt neg vpt -1.62 mul V Opaque stroke } def\n/PentW
|
||||
{ stroke [] 0 setdash gsave\n \ translate 0 hpt M 4 {72 rotate 0 hpt L}
|
||||
repeat\n \ Opaque stroke grestore } def\n/CircW { stroke [] 0 setdash
|
||||
\n \ hpt 0 360 arc Opaque stroke } def\n/BoxFill { gsave Rec 1 setgray
|
||||
fill grestore } def\n/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0]
|
||||
makefont\ndup length dict begin {1 index /FID eq {pop pop} {def}
|
||||
ifelse} forall\ncurrentdict end definefont\n/MFshow {{dup dup 0 get
|
||||
findfont exch 1 get scalefont setfont\n \ \ \ \ [ currentpoint ] exch
|
||||
dup 2 get 0 exch rmoveto dup dup 5 get exch 4 get\n \ \ \ \ {show}
|
||||
{stringwidth pop 0 rmoveto}ifelse dup 3 get\n \ \ \ \ {2 get neg 0 exch
|
||||
rmoveto pop} {pop aload pop moveto}ifelse} forall} bind def\n/MFwidth
|
||||
{0 exch {dup 3 get{dup dup 0 get findfont exch 1 get scalefont
|
||||
setfont\n \ \ \ \ \ 5 get stringwidth pop add}\n \ \ \ {pop} ifelse}
|
||||
forall} bind def\n/MLshow { currentpoint stroke M\n \ 0 exch R MFshow }
|
||||
bind def\n/MRshow { currentpoint stroke M\n \ exch dup MFwidth neg 3 -1
|
||||
roll R MFshow } def\n/MCshow { currentpoint stroke M\n \ exch dup
|
||||
MFwidth -2 div 3 -1 roll R MFshow } def\nend\n%%EndProlog\ngnudict
|
||||
begin\ngsave\n50 50 translate\n0.050 0.050 scale\n0
|
||||
setgray\nnewpath\n(Helvetica) findfont 140 scalefont setfont\n1.000
|
||||
UL\nLTb\n490 280 M\n63 0 V\n2809 0 R\n-63 0 V\n stroke\n406 280 M\n[
|
||||
[(Helvetica) 140.0 0.0 true true (-10)]\n] -46.7 MRshow\n490 487 M\n63
|
||||
0 V\n2809 0 R\n-63 0 V\n stroke\n406 487 M\n[ [(Helvetica) 140.0 0.0
|
||||
true true (-8)]\n] -46.7 MRshow\n490 694 M\n63 0 V\n2809 0 R\n-63 0 V\n
|
||||
stroke\n406 694 M\n[ [(Helvetica) 140.0 0.0 true true (-6)]\n] -46.7
|
||||
MRshow\n490 902 M\n63 0 V\n2809 0 R\n-63 0 V\n stroke\n406 902 M\n[
|
||||
[(Helvetica) 140.0 0.0 true true (-4)]\n] -46.7 MRshow\n490 1109 M\n63
|
||||
0 V\n2809 0 R\n-63 0 V\n stroke\n406 1109 M\n[ [(Helvetica) 140.0 0.0
|
||||
true true (-2)]\n] -46.7 MRshow\n490 1316 M\n63 0 V\n2809 0 R\n-63 0
|
||||
V\n stroke\n406 1316 M\n[ [(Helvetica) 140.0 0.0 true true ( 0)]\n]
|
||||
-46.7 MRshow\n490 1523 M\n63 0 V\n2809 0 R\n-63 0 V\n stroke\n406 1523
|
||||
M\n[ [(Helvetica) 140.0 0.0 true true ( 2)]\n] -46.7 MRshow\n490 1730
|
||||
M\n63 0 V\n2809 0 R\n-63 0 V\n stroke\n406 1730 M\n[ [(Helvetica) 140.0
|
||||
0.0 true true ( 4)]\n] -46.7 MRshow\n490 1938 M\n63 0 V\n2809 0 R\n-63
|
||||
0 V\n stroke\n406 1938 M\n[ [(Helvetica) 140.0 0.0 true true ( 6)]\n]
|
||||
-46.7 MRshow\n490 2145 M\n63 0 V\n2809 0 R\n-63 0 V\n stroke\n406 2145
|
||||
M\n[ [(Helvetica) 140.0 0.0 true true ( 8)]\n] -46.7 MRshow\n490 2352
|
||||
M\n63 0 V\n2809 0 R\n-63 0 V\n stroke\n406 2352 M\n[ [(Helvetica) 140.0
|
||||
0.0 true true ( 10)]\n] -46.7 MRshow\n490 280 M\n0 63 V\n0 2009 R\n0
|
||||
-63 V\n stroke\n490 140 M\n[ [(Helvetica) 140.0 0.0 true true (-10)]\n]
|
||||
-46.7 MCshow\n1208 280 M\n0 63 V\n0 2009 R\n0 -63 V\n stroke\n1208 140
|
||||
M\n[ [(Helvetica) 140.0 0.0 true true (-5)]\n] -46.7 MCshow\n1926 280
|
||||
M\n0 63 V\n0 2009 R\n0 -63 V\n stroke\n1926 140 M\n[ [(Helvetica) 140.0
|
||||
0.0 true true ( 0)]\n] -46.7 MCshow\n2644 280 M\n0 63 V\n0 2009 R\n0
|
||||
-63 V\n stroke\n2644 140 M\n[ [(Helvetica) 140.0 0.0 true true ( 5)]\n]
|
||||
-46.7 MCshow\n3362 280 M\n0 63 V\n0 2009 R\n0 -63 V\n stroke\n3362 140
|
||||
M\n[ [(Helvetica) 140.0 0.0 true true ( 10)]\n] -46.7 MCshow\n1.000
|
||||
UL\nLTb\n490 280 M\n2872 0 V\n0 2072 V\n-2872 0 V\n490 280 L\n1.000
|
||||
UL\nLT0\n2711 2219 M\n[ [(Helvetica) 140.0 0.0 true true (Function
|
||||
y=x+sin\\(x\\))]\n] -46.7 MRshow\n2795 2219 M\n399 0 V\n490 336 M\n3 1
|
||||
V\n3 0 V\n3 0 V\n2 1 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0
|
||||
V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 1 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n2 0 V\n3 1 V\n3 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0 V\n2 1 V\n3 0
|
||||
V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n2 1 V\n3 0 V\n3 1 V\n3 1
|
||||
V\n3 0 V\n3 1 V\n3 1 V\n3 1 V\n2 1 V\n3 0 V\n3 1 V\n3 1 V\n3 1 V\n3 1
|
||||
V\n3 1 V\n3 1 V\n2 2 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 2 V\n3 1 V\n3 2
|
||||
V\n2 1 V\n3 1 V\n3 2 V\n3 2 V\n3 1 V\n3 2 V\n3 1 V\n3 2 V\n2 2 V\n3 2
|
||||
V\n3 2 V\n3 1 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n2 2 V\n3 3 V\n3 2 V\n3 2
|
||||
V\n3 2 V\n3 2 V\n3 3 V\n3 2 V\n2 3 V\n3 2 V\n3 3 V\n3 2 V\n3 3 V\n3 2
|
||||
V\n3 3 V\n3 3 V\n2 2 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3
|
||||
V\n2 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 4 V\n3 3 V\n2 3 V\n3 4
|
||||
V\n3 3 V\n3 3 V\n3 4 V\n3 3 V\n3 4 V\n3 3 V\n2 4 V\n3 4 V\n3 3 V\n3 4
|
||||
V\n3 4 V\n3 3 V\n3 4 V\n3 4 V\n2 4 V\n3 3 V\n3 4 V\n3 4 V\n3 4 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n2 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4
|
||||
V\n2 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n2 5 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 5 V\n2 4 V\n3 4 V\n3 4 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n3 5 V\n3 4 V\n2 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n2 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4
|
||||
V\n2 4 V\n3 4 V\n3 4 V\n3 3 V\n3 4 V\n3 4 V\n3 4 V\n3 3 V\n2 4 V\n3 4
|
||||
V\n3 3 V\n3 4 V\n3 4 V\n3 3 V\n3 4 V\n3 3 V\n2 4 V\n3 3 V\n3 3 V\n3 4
|
||||
V\n3 3 V\n3 3 V\n3 4 V\n3 3 V\n2 3 V\n3 3 V\n3 3 V\n3 3 V\n3 4 V\n3 3
|
||||
V\n3 3 V\n3 2 V\n2 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 2 V\n3 3 V\n3 3
|
||||
V\n2 2 V\n3 3 V\n3 2 V\n3 3 V\n3 2 V\n3 3 V\n3 2 V\n3 2 V\n2 3 V\n3 2
|
||||
V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n2 2 V\n3 2 V\n3 2 V\n3 2
|
||||
V\n3 1 V\n3 2 V\n3 2 V\n3 2 V\n2 1 V\n3 2 V\n3 1 V\n3 2 V\n3 1 V\n3 2
|
||||
V\n3 1 V\n3 1 V\n2 2 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 2
|
||||
V\n2 1 V\n3 0 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 0 V\n2 1 V\n3 1
|
||||
V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n2 1 V\n3 0 V\n3 1 V\n3 0
|
||||
V\n3 1 V\n3 0 V\n3 0 V\n3 1 V\n2 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n2 1 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0 V\n2 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n3 1 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0 V\n3 0 V\n3 1
|
||||
V\n2 0 V\n3 0 V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n2 1 V\n3 0
|
||||
V\n3 1 V\n3 0 V\n3 1 V\n3 1 V\n3 0 V\n3 1 V\n2 1 V\n3 1 V\n3 1 V\n3 1
|
||||
V\n3 0 V\n3 1 V\n3 1 V\n3 1 V\n2 1 V\n3 2 V\ncurrentpoint stroke M\n3 1
|
||||
V\n3 1 V\n3 1 V\n3 1 V\n3 2 V\n3 1 V\n2 1 V\n3 2 V\n3 1 V\n3 2 V\n3 1
|
||||
V\n3 2 V\n3 1 V\n3 2 V\n2 2 V\n3 1 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2
|
||||
V\n3 2 V\n2 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 3 V\n2 2
|
||||
V\n3 2 V\n3 3 V\n3 2 V\n3 3 V\n3 2 V\n3 3 V\n3 3 V\n2 2 V\n3 3 V\n3 3
|
||||
V\n3 3 V\n3 2 V\n3 3 V\n3 3 V\n3 3 V\n2 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3
|
||||
V\n3 3 V\n3 4 V\n3 3 V\n2 3 V\n3 3 V\n3 4 V\n3 3 V\n3 4 V\n3 3 V\n3 3
|
||||
V\n3 4 V\n2 3 V\n3 4 V\n3 4 V\n3 3 V\n3 4 V\n3 3 V\n3 4 V\n3 4 V\n2 4
|
||||
V\n3 3 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 3 V\n3 4 V\n2 4 V\n3 4 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n2 4 V\n3 4 V\n3 4 V\n3 4 V\n3 5
|
||||
V\n3 4 V\n3 4 V\n3 4 V\n2 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 5 V\n3 4
|
||||
V\n3 4 V\n2 4 V\n3 4 V\n3 4 V\n3 5 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n2 4
|
||||
V\n3 4 V\n3 4 V\n3 4 V\n3 5 V\n3 4 V\n3 4 V\n3 4 V\n2 4 V\n3 4 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n2 4 V\n3 4 V\n3 3 V\n3 4 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n3 3 V\n2 4 V\n3 4 V\n3 4 V\n3 3 V\n3 4 V\n3 3 V\n3 4
|
||||
V\n3 4 V\n2 3 V\n3 4 V\n3 3 V\n3 3 V\n3 4 V\n3 3 V\n3 4 V\n3 3 V\n2 3
|
||||
V\n3 3 V\n3 4 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n2 3 V\n3 3 V\n3 3
|
||||
V\n3 3 V\n3 2 V\n3 3 V\n3 3 V\n3 3 V\n2 2 V\n3 3 V\n3 3 V\n3 2 V\n3 3
|
||||
V\n3 2 V\n3 3 V\n3 2 V\n2 2 V\n3 3 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2
|
||||
V\n3 2 V\n2 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 1 V\n2 2
|
||||
V\n3 2 V\n3 1 V\n3 2 V\n3 1 V\n3 2 V\n3 1 V\n3 2 V\n2 1 V\n3 1 V\n3 2
|
||||
V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 2 V\n2 1 V\n3 1 V\n3 1 V\n3 1 V\n3 0
|
||||
V\n3 1 V\n3 1 V\n3 1 V\n2 1 V\n3 1 V\n3 0 V\n3 1 V\n3 1 V\n3 0 V\n3 1
|
||||
V\n3 0 V\n2 1 V\n3 0 V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n2 0
|
||||
V\n3 1 V\n3 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 1
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 1 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0 V\n2 0 V\n3 1 V\n3 0 V\n3 0 V\n3 1
|
||||
V\n3 0 V\n3 1 V\n3 0 V\n2 1 V\n3 0 V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n3 1
|
||||
V\n3 1 V\n2 1 V\n3 0 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 0 V\n2 1
|
||||
V\n3 2 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n2 2 V\n3 1 V\n3 1
|
||||
V\n3 2 V\n3 1 V\n3 2 V\n3 1 V\n3 2 V\n2 1 V\n3 2 V\n3 2 V\n3 2 V\n3 1
|
||||
V\n3 2 V\n3 2 V\n3 2 V\n2 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 2
|
||||
V\n3 2 V\n2 3 V\n3 2 V\n3 2 V\n3 3 V\n3 2 V\n3 3 V\n3 2 V\n3 3 V\n2 2
|
||||
V\n3 3 V\n3 3 V\n3 2 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n2 3 V\n3 2 V\n3 3
|
||||
V\n3 3 V\n3 4 V\n3 3 V\n3 3 V\n3 3 V\n2 3 V\n3 3 V\n3 4 V\n3 3 V\n3 3
|
||||
V\n3 4 V\n3 3 V\n3 3 V\n2 4 V\n3 3 V\n3 4 V\n3 3 V\n3 4 V\n3 4 V\n3 3
|
||||
V\n3 4 V\n2 4 V\n3 3 V\n3 4 V\n3 4 V\n3 4 V\n3 3 V\n3 4 V\n3 4 V\n2 4
|
||||
V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n2 4 V\n3 4
|
||||
V\ncurrentpoint stroke M\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n2 4
|
||||
V\n3 4 V\n3 5 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n2 4 V\n3 5 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n2 5 V\n3 4 V\n3 4 V\n3 4 V\n3 4
|
||||
V\n3 4 V\n3 4 V\n3 4 V\n2 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4
|
||||
V\n3 4 V\n2 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 4 V\n3 3 V\n2 4
|
||||
V\n3 4 V\n3 4 V\n3 3 V\n3 4 V\n3 4 V\n3 3 V\n3 4 V\n2 4 V\n3 3 V\n3 4
|
||||
V\n3 3 V\n3 4 V\n3 3 V\n3 3 V\n3 4 V\n2 3 V\n3 3 V\n3 4 V\n3 3 V\n3 3
|
||||
V\n3 3 V\n3 3 V\n3 3 V\n2 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3 V\n3 3
|
||||
V\n3 3 V\n2 2 V\n3 3 V\n3 3 V\n3 2 V\n3 3 V\n3 2 V\n3 3 V\n3 2 V\n2 3
|
||||
V\n3 2 V\n3 3 V\n3 2 V\n3 2 V\n3 2 V\n3 2 V\n3 3 V\n2 2 V\n3 2 V\n3 2
|
||||
V\n3 2 V\n3 2 V\n3 1 V\n3 2 V\n3 2 V\n2 2 V\n3 2 V\n3 1 V\n3 2 V\n3 1
|
||||
V\n3 2 V\n3 2 V\n3 1 V\n2 1 V\n3 2 V\n3 1 V\n3 2 V\n3 1 V\n3 1 V\n3 1
|
||||
V\n3 1 V\n2 2 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 1 V\n3 0 V\n2 1
|
||||
V\n3 1 V\n3 1 V\n3 1 V\n3 0 V\n3 1 V\n3 1 V\n3 0 V\n2 1 V\n3 0 V\n3 1
|
||||
V\n3 0 V\n3 1 V\n3 0 V\n3 1 V\n3 0 V\n2 1 V\n3 0 V\n3 0 V\n3 1 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 1 V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n3 0 V\n2 1 V\n3 0 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n3 0 V\n3 0 V\n2 0 V\n3 0 V\n3 0 V\n3 1 V\n3 0 V\n3 0 V\n3 0
|
||||
V\n3 0 V\n2 1 V\n3 0 V\n3 0 V\n3 1 V\nstroke\ngrestore\nend\nshowpage\n>|ps>||||||>
|
||||
|
||||
\;
|
||||
</output>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
x0=[2;5;10];
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
t = linspace (0,10,800);
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
function dx = butter (x ,t) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ dx(1)
|
||||
= -10.0*(x(1)-x(2)); \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ dx(2)
|
||||
= 28.0*x(1)-x(2)-x(1)*x(3); \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ dx(3)
|
||||
= 8.0/3.0*( x(1)*x(2) -x(3) ); \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ end;
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
y=lsode("butter",x0,t);
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
gset parametric;
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
gset set term postscript enhanced color eps;
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
gset xtics 10;gset ytics 10; gset ztics 10;
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
gset out "/tmp/butterfly.eps";
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
gsplot y title "Butterfly Effect"
|
||||
</input>
|
||||
|
||||
<\input|octave\<gtr\> >
|
||||
\;
|
||||
</input>
|
||||
</session>
|
||||
|
||||
Per poter inserire un grafico 3D, per esempio il grafico generato in questa
|
||||
sessione, innanzitutto lo salviamo come butterfly.eps nella directory /tmp.
|
||||
A questo punto, possiamo inserire questo file EPS nel foglio di lavoro
|
||||
usando <apply|menu|Insert|Image>.
|
||||
|
||||
<expand|big-figure|<postscript|<tuple|<raw_data|%!PS-Adobe-2.0
|
||||
EPSF-2.0\n%%Title: /tmp/butterfly.eps\n%%Creator: gnuplot 3.7 patchlevel
|
||||
3\n%%CreationDate: Wed Jul \ 9 21:26:06 2003\n%%DocumentFonts:
|
||||
(atend)\n%%BoundingBox: 50 50 230 176\n%%Orientation:
|
||||
Portrait\n%%EndComments\n/gnudict 256 dict def\ngnudict begin\n/Color true
|
||||
def\n/Solid false def\n/gnulinewidth 5.000 def\n/userlinewidth gnulinewidth
|
||||
def\n/vshift -46 def\n/dl {10 mul} def\n/hpt_ 31.5 def\n/vpt_ 31.5
|
||||
def\n/hpt hpt_ def\n/vpt vpt_ def\n/M {moveto} bind def\n/L {lineto} bind
|
||||
def\n/R {rmoveto} bind def\n/V {rlineto} bind def\n/vpt2 vpt 2 mul
|
||||
def\n/hpt2 hpt 2 mul def\n/Lshow { currentpoint stroke M\n \ 0 vshift R
|
||||
show } def\n/Rshow { currentpoint stroke M\n \ dup stringwidth pop neg
|
||||
vshift R show } def\n/Cshow { currentpoint stroke M\n \ dup stringwidth pop
|
||||
-2 div vshift R show } def\n/UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt
|
||||
exch def\n \ /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def\n/DL { Color
|
||||
{setrgbcolor Solid {pop []} if 0 setdash }\n {pop pop pop Solid {pop []} if
|
||||
0 setdash} ifelse } def\n/BL { stroke userlinewidth 2 mul setlinewidth }
|
||||
def\n/AL { stroke userlinewidth 2 div setlinewidth } def\n/UL { dup
|
||||
gnulinewidth mul /userlinewidth exch def\n \ \ \ \ \ dup 1 lt {pop 1} if 10
|
||||
mul /udl exch def } def\n/PL { stroke userlinewidth setlinewidth }
|
||||
def\n/LTb { BL [] 0 0 0 DL } def\n/LTa { AL [1 udl mul 2 udl mul] 0 setdash
|
||||
0 0 0 setrgbcolor } def\n/LT0 { PL [] 1 0 0 DL } def\n/LT1 { PL [4 dl 2 dl]
|
||||
0 1 0 DL } def\n/LT2 { PL [2 dl 3 dl] 0 0 1 DL } def\n/LT3 { PL [1 dl 1.5
|
||||
dl] 1 0 1 DL } def\n/LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def\n/LT5 {
|
||||
PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def\n/LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0
|
||||
0 0 DL } def\n/LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL }
|
||||
def\n/LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL }
|
||||
def\n/Pnt { stroke [] 0 setdash\n \ \ gsave 1 setlinecap M 0 0 V stroke
|
||||
grestore } def\n/Dia { stroke [] 0 setdash 2 copy vpt add M\n \ hpt neg vpt
|
||||
neg V hpt vpt neg V\n \ hpt vpt V hpt neg vpt V closepath stroke\n \ Pnt }
|
||||
def\n/Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V\n \ currentpoint stroke
|
||||
M\n \ hpt neg vpt neg R hpt2 0 V stroke\n \ } def\n/Box { stroke [] 0
|
||||
setdash 2 copy exch hpt sub exch vpt add M\n \ 0 vpt2 neg V hpt2 0 V 0 vpt2
|
||||
V\n \ hpt2 neg 0 V closepath stroke\n \ Pnt } def\n/Crs { stroke [] 0
|
||||
setdash exch hpt sub exch vpt add M\n \ hpt2 vpt2 neg V currentpoint stroke
|
||||
M\n \ hpt2 neg 0 R hpt2 vpt2 V stroke } def\n/TriU { stroke [] 0 setdash 2
|
||||
copy vpt 1.12 mul add M\n \ hpt neg vpt -1.62 mul V\n \ hpt 2 mul 0 V\n
|
||||
\ hpt neg vpt 1.62 mul V closepath stroke\n \ Pnt \ } def\n/Star { 2 copy
|
||||
Pls Crs } def\n/BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M\n
|
||||
\ 0 vpt2 neg V \ hpt2 0 V \ 0 vpt2 V\n \ hpt2 neg 0 V \ closepath fill }
|
||||
def\n/TriUF { stroke [] 0 setdash vpt 1.12 mul add M\n \ hpt neg vpt -1.62
|
||||
mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt 1.62 mul V closepath fill }
|
||||
def\n/TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M\n \ hpt neg vpt
|
||||
1.62 mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt -1.62 mul V closepath stroke\n
|
||||
\ Pnt \ } def\n/TriDF { stroke [] 0 setdash vpt 1.12 mul sub M\n \ hpt neg
|
||||
vpt 1.62 mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt -1.62 mul V closepath
|
||||
fill} def\n/DiaF { stroke [] 0 setdash vpt add M\n \ hpt neg vpt neg V hpt
|
||||
vpt neg V\n \ hpt vpt V hpt neg vpt V closepath fill } def\n/Pent { stroke
|
||||
[] 0 setdash 2 copy gsave\n \ translate 0 hpt M 4 {72 rotate 0 hpt L}
|
||||
repeat\n \ closepath stroke grestore Pnt } def\n/PentF { stroke [] 0
|
||||
setdash gsave\n \ translate 0 hpt M 4 {72 rotate 0 hpt L} repeat\n
|
||||
\ closepath fill grestore } def\n/Circle { stroke [] 0 setdash 2 copy\n
|
||||
\ hpt 0 360 arc stroke Pnt } def\n/CircleF { stroke [] 0 setdash hpt 0 360
|
||||
arc fill } def\n/C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 \ arc } bind
|
||||
def\n/C1 { BL [] 0 setdash 2 copy \ \ \ \ \ \ \ moveto\n \ \ \ \ \ \ 2 copy
|
||||
\ vpt 0 90 arc closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc
|
||||
closepath } bind def\n/C2 { BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2
|
||||
copy \ vpt 90 180 arc closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0
|
||||
360 arc closepath } bind def\n/C3 { BL [] 0 setdash 2 copy moveto\n
|
||||
\ \ \ \ \ \ 2 copy \ vpt 0 180 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C4 { BL []
|
||||
0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 180 270 arc closepath
|
||||
fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C5
|
||||
{ BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 0 90 arc\n
|
||||
\ \ \ \ \ \ 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 180 270 arc closepath
|
||||
fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc } bind def\n/C6 { BL [] 0
|
||||
setdash 2 copy moveto\n \ \ \ \ \ 2 copy \ vpt 90 270 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C7 { BL [] 0
|
||||
setdash 2 copy moveto\n \ \ \ \ \ 2 copy \ vpt 0 270 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C8 { BL [] 0
|
||||
setdash 2 copy moveto\n \ \ \ \ \ 2 copy vpt 270 360 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C9 { BL [] 0
|
||||
setdash 2 copy moveto\n \ \ \ \ \ 2 copy \ vpt 270 450 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C10 { BL []
|
||||
0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill\n
|
||||
\ \ \ \ \ \ 2 copy moveto\n \ \ \ \ \ \ 2 copy vpt 90 180 arc closepath
|
||||
fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C11
|
||||
{ BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 0 180 arc
|
||||
closepath fill\n \ \ \ \ \ \ 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 270
|
||||
360 arc closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc
|
||||
closepath } bind def\n/C12 { BL [] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2
|
||||
copy \ vpt 180 360 arc closepath fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0
|
||||
360 arc closepath } bind def\n/C13 { BL [] 0 setdash \ 2 copy moveto\n
|
||||
\ \ \ \ \ \ 2 copy \ vpt 0 90 arc closepath fill\n \ \ \ \ \ \ 2 copy
|
||||
moveto\n \ \ \ \ \ \ 2 copy \ vpt 180 360 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/C14 { BL
|
||||
[] 0 setdash 2 copy moveto\n \ \ \ \ \ \ 2 copy \ vpt 90 360 arc closepath
|
||||
fill\n \ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc } bind def\n/C15 { BL [] 0
|
||||
setdash 2 copy vpt 0 360 arc closepath fill\n
|
||||
\ \ \ \ \ \ \ \ \ \ \ \ \ \ vpt 0 360 arc closepath } bind def\n/Rec \ \ {
|
||||
newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto\n \ \ \ \ \ \ neg
|
||||
0 rlineto closepath } bind def\n/Square { dup Rec } bind def\n/Bsquare {
|
||||
vpt sub exch vpt sub exch vpt2 Square } bind def\n/S0 { BL [] 0 setdash 2
|
||||
copy moveto 0 vpt rlineto BL Bsquare } bind def\n/S1 { BL [] 0 setdash 2
|
||||
copy vpt Square fill Bsquare } bind def\n/S2 { BL [] 0 setdash 2 copy exch
|
||||
vpt sub exch vpt Square fill Bsquare } bind def\n/S3 { BL [] 0 setdash 2
|
||||
copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def\n/S4 { BL [] 0
|
||||
setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind
|
||||
def\n/S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill\n \ \ \ \ \ \ exch
|
||||
vpt sub exch vpt sub vpt Square fill Bsquare } bind def\n/S6 { BL [] 0
|
||||
setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind
|
||||
def\n/S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec
|
||||
fill\n \ \ \ \ \ \ 2 copy vpt Square fill\n \ \ \ \ \ \ Bsquare } bind
|
||||
def\n/S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind
|
||||
def\n/S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind
|
||||
def\n/S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt
|
||||
sub exch vpt Square fill\n \ \ \ \ \ \ Bsquare } bind def\n/S11 { BL [] 0
|
||||
setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt
|
||||
Rec fill\n \ \ \ \ \ \ Bsquare } bind def\n/S12 { BL [] 0 setdash 2 copy
|
||||
exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def\n/S13 { BL
|
||||
[] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill\n
|
||||
\ \ \ \ \ \ 2 copy vpt Square fill Bsquare } bind def\n/S14 { BL [] 0
|
||||
setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill\n \ \ \ \ \ \ 2
|
||||
copy exch vpt sub exch vpt Square fill Bsquare } bind def\n/S15 { BL [] 0
|
||||
setdash 2 copy Bsquare fill Bsquare } bind def\n/D0 { gsave translate 45
|
||||
rotate 0 0 S0 stroke grestore } bind def\n/D1 { gsave translate 45 rotate 0
|
||||
0 S1 stroke grestore } bind def\n/D2 { gsave translate 45 rotate 0 0 S2
|
||||
stroke grestore } bind def\n/D3 { gsave translate 45 rotate 0 0 S3 stroke
|
||||
grestore } bind def\n/D4 { gsave translate 45 rotate 0 0 S4 stroke grestore
|
||||
} bind def\n/D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind
|
||||
def\n/D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def\n/D7
|
||||
{ gsave translate 45 rotate 0 0 S7 stroke grestore } bind def\n/D8 { gsave
|
||||
translate 45 rotate 0 0 S8 stroke grestore } bind def\n/D9 { gsave
|
||||
translate 45 rotate 0 0 S9 stroke grestore } bind def\n/D10 { gsave
|
||||
translate 45 rotate 0 0 S10 stroke grestore } bind def\n/D11 { gsave
|
||||
translate 45 rotate 0 0 S11 stroke grestore } bind def\n/D12 { gsave
|
||||
translate 45 rotate 0 0 S12 stroke grestore } bind def\n/D13 { gsave
|
||||
translate 45 rotate 0 0 S13 stroke grestore } bind def\n/D14 { gsave
|
||||
translate 45 rotate 0 0 S14 stroke grestore } bind def\n/D15 { gsave
|
||||
translate 45 rotate 0 0 S15 stroke grestore } bind def\n/DiaE { stroke [] 0
|
||||
setdash vpt add M\n \ hpt neg vpt neg V hpt vpt neg V\n \ hpt vpt V hpt neg
|
||||
vpt V closepath stroke } def\n/BoxE { stroke [] 0 setdash exch hpt sub exch
|
||||
vpt add M\n \ 0 vpt2 neg V hpt2 0 V 0 vpt2 V\n \ hpt2 neg 0 V closepath
|
||||
stroke } def\n/TriUE { stroke [] 0 setdash vpt 1.12 mul add M\n \ hpt neg
|
||||
vpt -1.62 mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt 1.62 mul V closepath
|
||||
stroke } def\n/TriDE { stroke [] 0 setdash vpt 1.12 mul sub M\n \ hpt neg
|
||||
vpt 1.62 mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt -1.62 mul V closepath
|
||||
stroke } def\n/PentE { stroke [] 0 setdash gsave\n \ translate 0 hpt M 4
|
||||
{72 rotate 0 hpt L} repeat\n \ closepath stroke grestore } def\n/CircE {
|
||||
stroke [] 0 setdash \n \ hpt 0 360 arc stroke } def\n/Opaque { gsave
|
||||
closepath 1 setgray fill grestore 0 setgray closepath } def\n/DiaW { stroke
|
||||
[] 0 setdash vpt add M\n \ hpt neg vpt neg V hpt vpt neg V\n \ hpt vpt V
|
||||
hpt neg vpt V Opaque stroke } def\n/BoxW { stroke [] 0 setdash exch hpt sub
|
||||
exch vpt add M\n \ 0 vpt2 neg V hpt2 0 V 0 vpt2 V\n \ hpt2 neg 0 V Opaque
|
||||
stroke } def\n/TriUW { stroke [] 0 setdash vpt 1.12 mul add M\n \ hpt neg
|
||||
vpt -1.62 mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt 1.62 mul V Opaque stroke
|
||||
} def\n/TriDW { stroke [] 0 setdash vpt 1.12 mul sub M\n \ hpt neg vpt 1.62
|
||||
mul V\n \ hpt 2 mul 0 V\n \ hpt neg vpt -1.62 mul V Opaque stroke }
|
||||
def\n/PentW { stroke [] 0 setdash gsave\n \ translate 0 hpt M 4 {72 rotate
|
||||
0 hpt L} repeat\n \ Opaque stroke grestore } def\n/CircW { stroke [] 0
|
||||
setdash \n \ hpt 0 360 arc Opaque stroke } def\n/BoxFill { gsave Rec 1
|
||||
setgray fill grestore } def\n/Symbol-Oblique /Symbol findfont [1 0 .167 1 0
|
||||
0] makefont\ndup length dict begin {1 index /FID eq {pop pop} {def} ifelse}
|
||||
forall\ncurrentdict end definefont pop\n/MFshow {{dup dup 0 get findfont
|
||||
exch 1 get scalefont setfont\n \ \ \ \ [ currentpoint ] exch dup 2 get 0
|
||||
exch rmoveto dup dup 5 get exch 4 get\n \ \ \ \ {show} {stringwidth pop 0
|
||||
rmoveto}ifelse dup 3 get\n \ \ \ \ {2 get neg 0 exch rmoveto pop} {pop
|
||||
aload pop moveto}ifelse} forall} bind def\n/MFwidth {0 exch {dup 3 get{dup
|
||||
dup 0 get findfont exch 1 get scalefont setfont\n \ \ \ \ \ 5 get
|
||||
stringwidth pop add}\n \ \ \ {pop} ifelse} forall} bind def\n/MLshow {
|
||||
currentpoint stroke M\n \ 0 exch R MFshow } bind def\n/MRshow {
|
||||
currentpoint stroke M\n \ exch dup MFwidth neg 3 -1 roll R MFshow }
|
||||
def\n/MCshow { currentpoint stroke M\n \ exch dup MFwidth -2 div 3 -1 roll
|
||||
R MFshow } def\nend\n%%EndProlog\ngnudict begin\ngsave\n50 50
|
||||
translate\n0.050 0.050 scale\n0 setgray\nnewpath\n(Helvetica) findfont 140
|
||||
scalefont setfont\n1.000 UL\nLTb\n1.000 UL\nLT0\n2802 2036 M\n[
|
||||
[(Helvetica) 140.0 0.0 true true (Butterfly Effect)]\n] -46.7 MRshow\n2886
|
||||
2036 M\n399 0 V\n1989 1344 M\n24 3 V\n27 5 V\n29 8 V\n31 10 V\n34 13 V\n36
|
||||
16 V\n39 20 V\n40 22 V\n41 27 V\n40 29 V\n39 33 V\n34 34 V\n27 35 V\n19 35
|
||||
V\n6 30 V\n-6 26 V\n-19 18 V\n-33 9 V\n-44 1 V\n-52 -8 V\n-58 -14 V\n-59
|
||||
-19 V\n-59 -21 V\n-55 -22 V\n-51 -22 V\n-46 -21 V\n-41 -18 V\n-35 -17
|
||||
V\n-30 -15 V\n-26 -13 V\n-23 -12 V\n-19 -11 V\n-16 -10 V\n-13 -10 V\n-12 -9
|
||||
V\n-11 -8 V\n-9 -9 V\n-8 -8 V\n-8 -9 V\n-7 -8 V\n-7 -8 V\n-7 -7 V\n-8 -8
|
||||
V\n-7 -8 V\n-8 -7 V\n-9 -7 V\n-9 -7 V\n-10 -7 V\n-11 -6 V\n-12 -6 V\n-13 -6
|
||||
V\n-14 -5 V\n-16 -4 V\n-17 -4 V\n-18 -3 V\n-20 -3 V\n-21 0 V\n-23 0 V\n-23
|
||||
2 V\n-25 4 V\n-25 5 V\n-26 9 V\n-25 11 V\n-24 13 V\n-22 17 V\n-19 20 V\n-15
|
||||
22 V\n-10 25 V\n-5 26 V\n2 27 V\n8 26 V\n15 25 V\n21 22 V\n26 19 V\n30 14
|
||||
V\n32 10 V\n34 6 V\n34 1 V\n33 -3 V\n31 -6 V\n29 -9 V\n27 -11 V\n23 -12
|
||||
V\n21 -13 V\n18 -13 V\n16 -14 V\n14 -14 V\n11 -13 V\n9 -13 V\n7 -13 V\n6
|
||||
-13 V\n4 -12 V\n4 -11 V\n2 -12 V\n0 -10 V\n0 -11 V\n0 -10 V\n-2 -9 V\n-3
|
||||
-10 V\n-3 -8 V\n-4 -9 V\n-5 -8 V\n-6 -8 V\n-7 -8 V\n-7 -8 V\n-9 -7 V\n-9 -7
|
||||
V\n-11 -6 V\n-12 -6 V\n-13 -6 V\n-15 -5 V\n-17 -5 V\n-18 -4 V\n-19 -4
|
||||
V\n-22 -2 V\n-23 -2 V\n-26 0 V\n-27 2 V\n-28 3 V\n-30 6 V\n-31 9 V\n-30 12
|
||||
V\n-30 16 V\n-28 19 V\n-24 24 V\n-20 27 V\n-14 30 V\n-6 33 V\n2 34 V\n10 33
|
||||
V\n19 32 V\n27 28 V\n34 23 V\n38 17 V\n41 11 V\n42 5 V\n42 0 V\n40 -5 V\n37
|
||||
-9 V\n34 -12 V\n31 -13 V\n27 -15 V\n23 -16 V\n21 -16 V\n17 -15 V\n15 -16
|
||||
V\n12 -14 V\n11 -15 V\n8 -14 V\n7 -13 V\n6 -12 V\n5 -12 V\n4 -12 V\n2 -10
|
||||
V\n3 -11 V\n2 -10 V\n1 -9 V\n1 -9 V\n0 -9 V\n1 -8 V\n0 -8 V\n-1 -8 V\n0 -7
|
||||
V\n-1 -7 V\n-1 -7 V\n-1 -7 V\n-1 -6 V\n-1 -7 V\n-2 -6 V\n-2 -6 V\n-2 -6
|
||||
V\n-2 -5 V\n-3 -6 V\n-3 -5 V\n-4 -5 V\n-4 -6 V\n-4 -5 V\n-5 -5 V\n-6 -5
|
||||
V\n-7 -4 V\n-7 -5 V\n-8 -5 V\n-10 -5 V\n-10 -5 V\n-12 -4 V\n-14 -5 V\n-15
|
||||
-4 V\n-17 -4 V\n-20 -4 V\n-21 -4 V\n-25 -3 V\n-27 -2 V\n-31 -1 V\n-33 1
|
||||
V\n-37 2 V\n-40 5 V\n-42 9 V\n-45 13 V\n-45 18 V\n-44 24 V\n-42 31 V\n-36
|
||||
38 V\n-27 45 V\n-16 51 V\n-2 55 V\n15 56 V\n29 53 V\n45 47 V\n55 37 V\n64
|
||||
26 V\n66 14 V\n67 4 V\n63 -6 V\n59 -12 V\n53 -17 V\n46 -20 V\n41 -21 V\n35
|
||||
-22 V\n29 -21 V\n26 -19 V\n21 -19 V\n18 -17 V\n16 -17 V\n14 -14 V\n11 -14
|
||||
V\n11 -12 V\n10 -11 V\n9 -11 V\n8 -9 V\n9 -8 V\n8 -7 V\n9 -7 V\n9 -6 V\n10
|
||||
-4 V\n10 -4 V\n11 -3 V\n12 -2 V\n12 -2 V\n14 0 V\n15 1 V\n16 2 V\n16 3
|
||||
V\n18 5 V\n19 5 V\n19 7 V\n20 9 V\n21 10 V\n20 11 V\n20 12 V\n19 14 V\n18
|
||||
14 V\n15 15 V\n13 14 V\n9 14 V\n5 14 V\n1 11 V\n-5 10 V\n-8 7 V\n-14 5
|
||||
V\n-17 2 V\n-21 -1 V\n-23 -4 V\n-25 -5 V\n-26 -8 V\n-26 -8 V\n-26 -10
|
||||
V\n-24 -9 V\n-23 -11 V\n-20 -10 V\n-19 -10 V\n-17 -9 V\n-15 -10 V\n-12 -9
|
||||
V\n-11 -8 V\n-8 -9 V\n-7 -8 V\n-6 -7 V\n-4 -8 V\n-2 -7 V\n-1 -6 V\n0 -6
|
||||
V\n1 -6 V\n2 -6 V\n3 -5 V\n5 -5 V\n5 -4 V\n7 -4 V\n7 -4 V\n9 -2 V\n10 -2
|
||||
V\n11 -2 V\n12 0 V\n14 0 V\n15 2 V\n16 2 V\n17 4 V\n19 5 V\n20 6 V\n21 7
|
||||
V\n22 10 V\n22 10 V\n23 13 V\n23 13 V\n22 16 V\n21 16 V\n18 17 V\n16 17
|
||||
V\n12 17 V\n7 15 V\n2 14 V\n-4 12 V\n-9 9 V\n-15 6 V\n-19 3 V\n-24 -1
|
||||
V\n-26 -4 V\n-29 -6 V\n-30 -9 V\n-30 -10 V\n-29 -11 V\n-28 -11 V\n-25 -12
|
||||
V\n-24 -11 V\n-21 -11 V\n-19 -11 V\n-16 -10 V\n-14 -10 V\n-12 -9 V\n-10 -9
|
||||
V\n-8 -8 V\n-6 -8 V\n-5 -8 V\n-3 -8 V\n-2 -7 V\n-1 -7 V\n0 -7 V\n1 -6 V\n3
|
||||
-6 V\n3 -6 V\n4 -5 V\n5 -5 V\n6 -4 V\n7 -4 V\n8 -4 V\n10 -3 V\n10 -2 V\n12
|
||||
-1 V\n13 -1 V\n14 1 V\n15 1 V\n18 2 V\n18 4 V\n20 5 V\n22 7 V\n23 8 V\n25
|
||||
10 V\n25 12 V\n27 13 V\n26 16 V\n26 17 V\n25 19 V\n23 20 V\n20 20 V\n16 20
|
||||
V\n10 20 V\n4 18 V\n-3 15 V\n-9 11 V\n-17 8 V\n-23 3 V\n-28 -1 V\n-32 -4
|
||||
V\n-34 -8 V\n-35 -11 V\n-36 -12 V\n-34 -13 V\n-32 -13 V\n-30 -14 V\n-27 -13
|
||||
V\n-24 -12 V\n-21 -12 V\n-19 -11 V\n-16 -11 V\n-13 -10 V\n-11 -9 V\n-9 -9
|
||||
V\n-8 -9 V\n-6 -8 V\n-4 -9 V\n-4 -8 V\n-2 -7 V\n-1 -8 V\n0 -7 V\n0 -7 V\n1
|
||||
-7 V\n2 -6 V\n3 -6 V\ncurrentpoint stroke M\n3 -6 V\n5 -6 V\n4 -5 V\n6 -5
|
||||
V\n6 -4 V\n8 -4 V\n8 -3 V\n9 -3 V\n11 -2 V\n11 -2 V\n13 -1 V\n14 1 V\n16 1
|
||||
V\n18 2 V\n19 3 V\n22 5 V\n23 7 V\n25 8 V\n28 10 V\n29 13 V\n30 14 V\n32 18
|
||||
V\n33 19 V\n32 22 V\n31 24 V\n29 26 V\n24 27 V\n18 26 V\n11 25 V\n3 22
|
||||
V\n-7 18 V\n-16 13 V\n-26 7 V\n-33 0 V\n-39 -4 V\n-43 -10 V\n-46 -13 V\n-45
|
||||
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|
||||
V\n-23 -12 V\n-19 -12 V\n-17 -11 V\n-14 -10 V\n-11 -10 V\n-10 -9 V\n-9 -9
|
||||
V\n-6 -9 V\n-6 -9 V\n-5 -8 V\n-4 -9 V\n-4 -8 V\n-3 -8 V\n-2 -8 V\n-3 -7
|
||||
V\n-2 -8 V\n-2 -7 V\n-2 -8 V\n-2 -7 V\n-2 -7 V\n-3 -7 V\n-2 -7 V\n-3 -6
|
||||
V\n-3 -7 V\n-3 -6 V\n-3 -6 V\n-4 -6 V\n-4 -6 V\n-5 -6 V\n-6 -6 V\n-6 -6
|
||||
V\n-7 -5 V\n-7 -6 V\n-9 -5 V\n-9 -5 V\n-11 -6 V\n-13 -5 V\n-13 -5 V\n-16 -4
|
||||
V\n-17 -5 V\n-20 -4 V\n-21 -3 V\n-25 -3 V\n-27 -2 V\n-29 -1 V\n-33 1 V\n-35
|
||||
3 V\n-38 5 V\n-40 9 V\n-42 13 V\n-41 18 V\n-41 24 V\n-37 30 V\n-32 36
|
||||
V\n-23 42 V\n-13 47 V\n1 51 V\n14 50 V\n28 47 V\n41 42 V\n51 33 V\n57 23
|
||||
V\n61 14 V\n60 3 V\n59 -4 V\n54 -11 V\n49 -15 V\n44 -19 V\n38 -19 V\n33 -20
|
||||
V\n28 -20 V\n24 -19 V\n20 -18 V\n18 -18 V\n15 -16 V\n13 -14 V\n11 -14 V\n10
|
||||
-13 V\n8 -12 V\n9 -11 V\n7 -10 V\n8 -9 V\n7 -8 V\n8 -7 V\n8 -7 V\n8 -6 V\n9
|
||||
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|
||||
V\n18 4 V\n20 4 V\n20 7 V\n23 8 V\n23 9 V\n24 12 V\n24 12 V\n24 15 V\n24 16
|
||||
V\n22 17 V\n20 18 V\n17 19 V\n12 18 V\n8 17 V\n2 15 V\n-4 13 V\n-10 9
|
||||
V\n-16 6 V\n-21 3 V\n-26 -2 V\n-29 -4 V\n-31 -7 V\n-32 -10 V\n-32 -10
|
||||
V\n-31 -12 V\n-29 -12 V\n-27 -13 V\n-24 -12 V\n-22 -11 V\n-20 -11 V\n-17
|
||||
-11 V\n-14 -10 V\n-12 -9 V\n-10 -9 V\n-9 -9 V\n-6 -8 V\n-5 -9 V\n-4 -7
|
||||
V\n-2 -8 V\n-2 -7 V\n0 -7 V\n1 -7 V\n2 -6 V\n2 -6 V\n4 -6 V\n4 -5 V\n6 -5
|
||||
V\n6 -5 V\n7 -4 V\n8 -3 V\n9 -3 V\n10 -3 V\n12 -1 V\n13 -1 V\n14 0 V\n16 1
|
||||
V\n17 2 V\n19 4 V\n20 5 V\n22 6 V\n24 8 V\n26 10 V\n27 12 V\n27 14 V\n29 16
|
||||
V\n29 18 V\n27 19 V\n26 22 V\n24 22 V\n19 23 V\n13 22 V\n7 20 V\n0 18 V\n-8
|
||||
14 V\n-15 10 V\n-24 5 V\n-29 0 V\n-34 -5 V\n-37 -8 V\n-39 -11 V\n-39 -13
|
||||
V\n-37 -14 V\n-36 -14 V\n-33 -15 V\n-30 -14 V\n-26 -13 V\n-23 -13 V\n-21
|
||||
-12 V\n-17 -11 V\n-15 -10 V\n-12 -10 V\n-11 -10 V\n-8 -9 V\n-7 -8 V\n-6 -9
|
||||
V\n-4 -8 V\n-3 -8 V\n-2 -8 V\n-2 -8 V\n-1 -7 V\n0 -8 V\n0 -7 V\n1 -7 V\n2
|
||||
-6 V\n2 -6 V\n2 -7 V\n3 -5 V\n3 -6 V\n4 -5 V\n5 -5 V\n5 -5 V\n6 -4 V\n7 -4
|
||||
V\n7 -3 V\n8 -3 V\n10 -2 V\n10 -2 V\n12 -1 V\n13 0 V\n15 1 V\n16 1 V\n18 3
|
||||
V\n21 4 V\n22 5 V\n25 7 V\n27 9 V\n30 12 V\n32 13 V\n34 17 V\n36 19 V\n37
|
||||
22 V\n37 25 V\n37 28 V\n33 30 V\n29 31 V\n23 32 V\n14 30 V\n4 26 V\n-8 22
|
||||
V\n-20 15 V\n-31 8 V\n-40 0 V\n-47 -7 V\n-52 -13 V\n-54 -17 V\n-52 -19
|
||||
V\n-50 -20 V\n-47 -19 V\n-42 -19 V\n-37 -18 V\n-33 -15 V\n-28 -15 V\n-24
|
||||
-13 V\n-21 -11 V\n-18 -11 V\n-15 -11 V\n-13 -9 V\n-11 -10 V\n-9 -9 V\n-8 -8
|
||||
V\n-7 -9 V\n-7 -9 V\n-6 -8 V\n-5 -8 V\n-6 -8 V\n-6 -8 V\n-5 -8 V\n-6 -8
|
||||
V\n-6 -7 V\n-7 -8 V\n-7 -7 V\n-8 -7 V\n-9 -7 V\n-9 -7 V\n-11 -6 V\n-11 -7
|
||||
V\n-13 -6 V\n-15 -5 V\n-15 -5 V\n-17 -5 V\n-19 -3 V\n-21 -3 V\n-22 -2
|
||||
V\n-24 -1 V\n-26 0 V\n-28 3 V\n-29 5 V\n-30 7 V\n-31 10 V\n-30 14 V\n-29 17
|
||||
V\n-26 21 V\n-22 25 V\n-18 28 V\n-10 31 V\n-3 34 V\n5 33 V\n15 33 V\n22 30
|
||||
V\n30 26 V\n35 20 V\n40 15 V\n41 8 V\n42 3 V\n41 -3 V\n39 -6 V\n35 -11
|
||||
V\n33 -12 V\n29 -14 V\n25 -15 V\n22 -16 V\n19 -16 V\n17 -15 V\n13 -15 V\n12
|
||||
-15 V\n9 -14 V\n8 -13 V\n7 -13 V\n5 -13 V\n4 -11 V\n3 -11 V\n3 -11 V\n2 -10
|
||||
V\n1 -10 V\n1 -9 V\n1 -9 V\n0 -9 V\n0 -8 V\n0 -8 V\n-1 -7 V\n0 -8 V\n-1 -7
|
||||
V\n-1 -7 V\n-2 -6 V\n-2 -7 V\n-1 -6 V\n-3 -6 V\n-2 -6 V\n-3 -6 V\n-3 -5
|
||||
V\n-4 -6 V\n-4 -5 V\n-4 -6 V\n-5 -5 V\n-6 -5 V\n-7 -5 V\n-7 -5 V\n-9 -5
|
||||
V\n-9 -5 V\n-11 -5 V\n-12 -5 V\n-14 -5 V\n-15 -4 V\n-17 -4 V\n-20 -4 V\n-22
|
||||
-4 V\n-24 -3 V\n-28 -2 V\n-30 -1 V\n-33 1 V\n-37 3 V\ncurrentpoint stroke
|
||||
M\n-39 5 V\n-42 9 V\n1.000 UL\nLTb\n3024 948 M\n2128 464 L\n575 743 M\n2128
|
||||
464 L\n575 743 M\n896 484 V\n3024 948 M\n1471 1227 L\n575 743 M\n0 968 V\n0
|
||||
-968 R\n55 29 V\n stroke\n501 676 M\n[ [(Helvetica) 140.0 0.0 true true
|
||||
(-20)]\n] -46.7 MCshow\n1471 1227 M\n-56 -30 V\n963 673 M\n55 29 V\n
|
||||
stroke\n889 606 M\n[ [(Helvetica) 140.0 0.0 true true (-10)]\n] -46.7
|
||||
MCshow\n1860 1157 M\n-56 -30 V\n1351 603 M\n55 29 V\n stroke\n1277 536 M\n[
|
||||
[(Helvetica) 140.0 0.0 true true ( 0)]\n] -46.7 MCshow\n2248 1087 M\n-56
|
||||
-30 V\n1739 533 M\n55 29 V\n stroke\n1665 466 M\n[ [(Helvetica) 140.0 0.0
|
||||
true true ( 10)]\n] -46.7 MCshow\n2636 1018 M\n-56 -30 V\n2128 464 M\n55 29
|
||||
V\n stroke\n2054 397 M\n[ [(Helvetica) 140.0 0.0 true true ( 20)]\n] -46.7
|
||||
MCshow\n3024 948 M\n-56 -30 V\n2128 464 M\n-63 11 V\n stroke\n2210 439 M\n[
|
||||
[(Helvetica) 140.0 0.0 true true (-20)]\n] -46.7 MLshow\n575 743 M\n62 -12
|
||||
V\n2352 585 M\n-63 11 V\n stroke\n2434 560 M\n[ [(Helvetica) 140.0 0.0 true
|
||||
true (-10)]\n] -46.7 MLshow\n799 864 M\n62 -12 V\n2576 706 M\n-63 11 V\n
|
||||
stroke\n2658 681 M\n[ [(Helvetica) 140.0 0.0 true true ( 0)]\n] -46.7
|
||||
MLshow\n1023 985 M\n62 -12 V\n2800 827 M\n-63 11 V\n stroke\n2882 802 M\n[
|
||||
[(Helvetica) 140.0 0.0 true true ( 10)]\n] -46.7 MLshow\n1247 1106 M\n62
|
||||
-12 V\n3024 948 M\n-63 11 V\n stroke\n3106 923 M\n[ [(Helvetica) 140.0 0.0
|
||||
true true ( 20)]\n] -46.7 MLshow\n1471 1227 M\n62 -12 V\n575 1066 M\n63 0
|
||||
V\n stroke\n449 1066 M\n[ [(Helvetica) 140.0 0.0 true true ( 0)]\n] -46.7
|
||||
MRshow\n575 1195 M\n63 0 V\n stroke\n449 1195 M\n[ [(Helvetica) 140.0 0.0
|
||||
true true ( 10)]\n] -46.7 MRshow\n575 1324 M\n63 0 V\n stroke\n449 1324
|
||||
M\n[ [(Helvetica) 140.0 0.0 true true ( 20)]\n] -46.7 MRshow\n575 1453
|
||||
M\n63 0 V\n stroke\n449 1453 M\n[ [(Helvetica) 140.0 0.0 true true (
|
||||
30)]\n] -46.7 MRshow\n575 1582 M\n63 0 V\n stroke\n449 1582 M\n[
|
||||
[(Helvetica) 140.0 0.0 true true ( 40)]\n] -46.7 MRshow\n575 1711 M\n63 0
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V\n stroke\n449 1711 M\n[ [(Helvetica) 140.0 0.0 true true ( 50)]\n] -46.7
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||||
MRshow\nstroke\ngrestore\nend\nshowpage\n>|eps>||||||>|Grafico 3D generato
|
||||
da Octave.>
|
||||
|
||||
<apply|tmdoc-copyright|2003|Chu-Ching Huang|Joris van der Hoeven, Lucia
|
||||
Gecchelin>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
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|
||||
<associate|toc-10|<tuple|8.2|?>>
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<associate|idx-3|<tuple|2|?>>
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||||
<associate|gly-4|<tuple|4|?>>
|
||||
<associate|toc-14|<tuple|8.6|?>>
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||||
<associate|idx-4|<tuple|7|?>>
|
||||
<associate|gly-5|<tuple|5|?>>
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||||
<associate|toc-15|<tuple|8.7|?>>
|
||||
<associate|idx-5|<tuple|8|?>>
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||||
<associate|gly-6|<tuple|6|?>>
|
||||
<associate|toc-16|<tuple|8.8|?>>
|
||||
<associate|gly-7|<tuple|7|?>>
|
||||
<associate|gly-8|<tuple|8|?>>
|
||||
<associate|gly-9|<tuple|9|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|8.1|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
||||
<\auxiliary>
|
||||
<\collection>
|
||||
<\associate|figure>
|
||||
<tuple|normal|Embedded 3D graph from Octave.|<pageref|gly-1>>
|
||||
</associate>
|
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<\associate|idx>
|
||||
<tuple|<tuple|<with|font family|<quote|ss>|Testo>|<with|font
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||||
family|<quote|ss>|Sessione>|<with|font
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family|<quote|ss>|Octave>>|<pageref|idx-1>>
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<tuple|<tuple|<with|font family|<quote|ss>|Inserisci>|<with|font
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||||
family|<quote|ss>|Immagine>>|<pageref|idx-2>>
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|
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|
|
@ -0,0 +1,77 @@
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|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<expand|tmdoc-title|The GNU Octave system>
|
||||
|
||||
GNU <name|Octave> is a high-level language, primarily intended for
|
||||
numerical computations. It provides a convenient command line interface for
|
||||
solving linear and nonlinear problems numerically, and for performing other
|
||||
numerical experiments using a language that is mostly compatible with
|
||||
<name|Matlab>. It may also be used as a batch-oriented language.
|
||||
|
||||
<name|Octave> has extensive tools for solving common numerical linear
|
||||
algebra problems, finding the roots of nonlinear equations, integrating
|
||||
ordinary functions, manipulating polynomials, and integrating ordinary
|
||||
differential and differential-algebraic equations. It is easily extensible
|
||||
and customizable via user-defined functions written in <name|Octave>'s own
|
||||
language, or using dynamically loaded modules written in C++, C, Fortran,
|
||||
or other languages.
|
||||
|
||||
A first experimental interface between <TeXmacs> and GNU <name|Octave> has
|
||||
been written by <name|Michael Graffam>. Unfortunately, we get little help
|
||||
from the main <name|Octave> developers for the improvement of the interface
|
||||
and the integration of patches into the mainline of <name|Octave>. So, if
|
||||
you like the idea of using <name|Octave> from inside <TeXmacs>, then please
|
||||
help advertising it.
|
||||
|
||||
<apply|tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
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||||
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||||
|
||||
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|
||||
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|
||||
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|
||||
<associate|giac|<tuple|1|?>>
|
||||
<associate|gtybalt|<tuple|1|?>>
|
||||
<associate|pari|<tuple|4|?>>
|
||||
<associate|qcl|<tuple|6|?>>
|
||||
<associate|r|<tuple|6|?>>
|
||||
<associate|maxima|<tuple|3|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|macaulay2|<tuple|2|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|octave|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|9|?>>
|
||||
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|
||||
</references>
|
||||
|
|
@ -0,0 +1,70 @@
|
|||
<TeXmacs|1.0.2.3>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<expand|tmdoc-title|The Pari system>
|
||||
|
||||
<hlink|<name|Pari-gp>|http://www.parigp-home.de> is a software package for
|
||||
computer-aided number theory. It consists of a C library,
|
||||
<expand|code*|libpari> (with optional assembler cores for some popular
|
||||
architectures), and of the programmable interactive <kbd|gp> calculator.
|
||||
While you can write your own <expand|code*|libpari>-based programs, many
|
||||
people just start up a <kbd|gp> session, or have <kbd|gp> execute their
|
||||
scripts. Pari sessions can now be started inside <TeXmacs>.
|
||||
|
||||
Originally developed at <hlink|Bordeaux|http://www.cribx1.u-bordeaux.fr/>
|
||||
by a team led by <hlink|<name|Henri Cohen>|http://www.math.u-bordeaux.fr/~cohen/>,
|
||||
PARI-GP is now maintained by <name|Karim Belabas> at the <hlink|Université
|
||||
Paris-Sud Orsay|http://www.math.u-psud.fr/> with the help of many volunteer
|
||||
contributors.
|
||||
|
||||
<apply|tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
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|
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|
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|
||||
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||||
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||||
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|
||||
<\collection>
|
||||
<associate|yacas|<tuple|5|?>>
|
||||
<associate|giac|<tuple|1|?>>
|
||||
<associate|gtybalt|<tuple|1|?>>
|
||||
<associate|pari|<tuple|4|?>>
|
||||
<associate|qcl|<tuple|6|?>>
|
||||
<associate|r|<tuple|6|?>>
|
||||
<associate|maxima|<tuple|3|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|macaulay2|<tuple|2|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|octave|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|9|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
|
@ -0,0 +1,86 @@
|
|||
<TeXmacs|1.0.1.20>
|
||||
|
||||
<style|<tuple|tmdoc|maxima>>
|
||||
|
||||
<\body>
|
||||
<\expand|tmdoc-title>
|
||||
Plugins for <TeXmacs>
|
||||
</expand>
|
||||
|
||||
<\traverse>
|
||||
<apply|branch|Gnuplot|gnuplot/gnuplot-main.en.tm>
|
||||
|
||||
<apply|branch|Macaulay 2|macaulay2/m2-main.en.tm>
|
||||
|
||||
<apply|branch|Maxima|maxima/maxima-main.en.tm>
|
||||
|
||||
<apply|branch|Octave|octave/octave-main.en.tm>
|
||||
|
||||
<apply|branch|Qcl|qcl/qcl-main.en.tm>
|
||||
|
||||
<apply|branch|R|r/r-main.en.tm>
|
||||
|
||||
<apply|branch|Yacas|yacas/yacas-main.en.tm>
|
||||
</traverse>
|
||||
|
||||
<apply|tmdoc-copyright|2003|Joris van der Hoeven>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|toc-10|<tuple|8.2|?>>
|
||||
<associate|toc-11|<tuple|8.3|?>>
|
||||
<associate|gly-1|<tuple|1|?>>
|
||||
<associate|idx-1|<tuple|<uninit>|?>>
|
||||
<associate|toc-12|<tuple|8.4|?>>
|
||||
<associate|gly-2|<tuple|2|?>>
|
||||
<associate|idx-2|<tuple|1|?>>
|
||||
<associate|gly-3|<tuple|3|?>>
|
||||
<associate|toc-13|<tuple|8.5|?>>
|
||||
<associate|idx-3|<tuple|3|?>>
|
||||
<associate|gly-4|<tuple|4|?>>
|
||||
<associate|toc-14|<tuple|8.6|?>>
|
||||
<associate|idx-4|<tuple|7|?>>
|
||||
<associate|gly-5|<tuple|5|?>>
|
||||
<associate|toc-15|<tuple|8.7|?>>
|
||||
<associate|idx-5|<tuple|8|?>>
|
||||
<associate|toc-16|<tuple|8.8|?>>
|
||||
<associate|gly-6|<tuple|6|?>>
|
||||
<associate|gly-7|<tuple|7|?>>
|
||||
<associate|gly-8|<tuple|8|?>>
|
||||
<associate|gly-9|<tuple|9|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|8.1|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
|
@ -0,0 +1,86 @@
|
|||
<TeXmacs|1.0.1.18>
|
||||
|
||||
<style|<tuple|tmdoc|maxima>>
|
||||
|
||||
<\body>
|
||||
<\expand|tmdoc-title>
|
||||
Plugin per <TeXmacs>
|
||||
</expand>
|
||||
|
||||
<\traverse>
|
||||
<apply|branch|Gnuplot|gnuplot/gnuplot-main.it.tm>
|
||||
|
||||
<apply|branch|Macaulay 2|macaulay2/m2-main.it.tm>
|
||||
|
||||
<apply|branch|Maxima|maxima/maxima-main.it.tm>
|
||||
|
||||
<apply|branch|Octave|octave/octave-main.it.tm>
|
||||
|
||||
<apply|branch|Qcl|qcl/qcl-main.it.tm>
|
||||
|
||||
<apply|branch|R|r/r-main.it.tm>
|
||||
|
||||
<apply|branch|Yacas|yacas/yacas-main.it.tm>
|
||||
</traverse>
|
||||
|
||||
<apply|tmdoc-copyright|2003|Joris van der Hoeven, Lucia Gecchelin>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|italian>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|toc-10|<tuple|8.2|?>>
|
||||
<associate|toc-11|<tuple|8.3|?>>
|
||||
<associate|gly-1|<tuple|1|?>>
|
||||
<associate|idx-1|<tuple|<uninit>|?>>
|
||||
<associate|idx-2|<tuple|1|?>>
|
||||
<associate|gly-2|<tuple|2|?>>
|
||||
<associate|toc-12|<tuple|8.4|?>>
|
||||
<associate|gly-3|<tuple|3|?>>
|
||||
<associate|toc-13|<tuple|8.5|?>>
|
||||
<associate|idx-3|<tuple|3|?>>
|
||||
<associate|gly-4|<tuple|4|?>>
|
||||
<associate|toc-14|<tuple|8.6|?>>
|
||||
<associate|idx-4|<tuple|7|?>>
|
||||
<associate|gly-5|<tuple|5|?>>
|
||||
<associate|toc-15|<tuple|8.7|?>>
|
||||
<associate|idx-5|<tuple|8|?>>
|
||||
<associate|gly-6|<tuple|6|?>>
|
||||
<associate|toc-16|<tuple|8.8|?>>
|
||||
<associate|gly-7|<tuple|7|?>>
|
||||
<associate|gly-8|<tuple|8|?>>
|
||||
<associate|gly-9|<tuple|9|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|8.1|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
|
@ -0,0 +1,209 @@
|
|||
<TeXmacs|1.0.1.20>
|
||||
|
||||
<style|<tuple|tmdoc|maxima>>
|
||||
|
||||
<\body>
|
||||
<\expand|tmdoc-title>
|
||||
Using Qcl sessions inside <TeXmacs>
|
||||
</expand>
|
||||
|
||||
<name|Qcl> is a high level, architecture independent programming language
|
||||
for quantum computers, with a syntax derived from classical procedural
|
||||
languages like <name|C> or <name|Pascal>. This allows for the complete
|
||||
implementation and simulation of quantum algorithms (including classical
|
||||
components) in one consistent formalism. The <TeXmacs> interface is mainly
|
||||
useful for displaying quantum states in a readable way. For more
|
||||
information, see
|
||||
|
||||
<\verbatim>
|
||||
\ \ \ \ http://tph.tuwien.ac.at/~oemer/qcl.html
|
||||
</verbatim>
|
||||
|
||||
As suggest, users have better install the newest and binary version, now is
|
||||
0.5, since it is difficult to compile from source. Moreover, if you install
|
||||
<name|Qcl> from binary installation, confirm that all the library
|
||||
directory, <verbatim|lib>, is under the directory at which the binary
|
||||
<verbatim|qcl> locates.
|
||||
|
||||
<\session|qcl|default>
|
||||
<\output>
|
||||
QCL Quantum Computation Language (32 qubits, seed 1051277574)
|
||||
|
||||
[0/32] <with|mode|math|1<hspace|0.25spc><with|color|magenta|\|<with|math
|
||||
font family|rm|0>\<rangle\>>>
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
<\verbatim>
|
||||
qcl\<gtr\>\
|
||||
</verbatim>
|
||||
</with>>
|
||||
qureg a[1];
|
||||
</input>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
<\verbatim>
|
||||
qcl\<gtr\>\
|
||||
</verbatim>
|
||||
</with>>
|
||||
Rot(pi/4,a);
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
[1/32] <with|mode|math|0.92388<hspace|0.25spc><with|color|magenta|\|<with|math
|
||||
font family|rm|0>\<rangle\>>-0.38268<hspace|0.25spc><with|color|magenta|\|<with|math
|
||||
font family|rm|1>\<rangle\>>>
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
<\verbatim>
|
||||
qcl\<gtr\>\
|
||||
</verbatim>
|
||||
</with>>
|
||||
Mix(a);
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
[1/32] <with|mode|math|0.38268<hspace|0.25spc><with|color|magenta|\|<with|math
|
||||
font family|rm|0>\<rangle\>>+0.92388<hspace|0.25spc><with|color|magenta|\|<with|math
|
||||
font family|rm|1>\<rangle\>>>
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
<\verbatim>
|
||||
qcl\<gtr\>\
|
||||
</verbatim>
|
||||
</with>>
|
||||
dump;
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\with|color|blue>
|
||||
<\verbatim>
|
||||
STATE: 1 / 32 qubits allocated, 31 / 32 qubits free
|
||||
</verbatim>
|
||||
</with>
|
||||
|
||||
<\with|mode|math>
|
||||
0.38268<hspace|0.25spc><with|color|magenta|\|<with|math font
|
||||
family|rm|0>\<rangle\>>+0.92388<hspace|0.25spc><with|color|magenta|\|<with|math
|
||||
font family|rm|1>\<rangle\>>
|
||||
</with>
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
<\verbatim>
|
||||
qcl\<gtr\>\
|
||||
</verbatim>
|
||||
</with>>
|
||||
include "shor.qcl";
|
||||
</input>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
<\verbatim>
|
||||
qcl\<gtr\>\
|
||||
</verbatim>
|
||||
</with>>
|
||||
operator dft(qureg q) { const n=#q; int i; int j;for i=1 to n { for j=1
|
||||
to i-1 { if q[n-1] and q[n-j] {Phase(pi/2^(i-j));}} H(q[n-1]);}
|
||||
flip(q); }
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\with|color|red>
|
||||
<\verbatim>
|
||||
at "operator dft(qureg q) { c ...":
|
||||
</verbatim>
|
||||
</with>
|
||||
|
||||
<\with|color|red>
|
||||
<\verbatim>
|
||||
illegal scope: Global symbol dft already defined
|
||||
</verbatim>
|
||||
</with>
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
<\verbatim>
|
||||
qcl\<gtr\>\
|
||||
</verbatim>
|
||||
</with>>
|
||||
dft(a);
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
[1/32] <with|mode|math|0.70711<hspace|0.25spc><with|color|magenta|\|<with|math
|
||||
font family|rm|0>\<rangle\>>+0.70711<hspace|0.25spc><with|color|magenta|\|<with|math
|
||||
font family|rm|1>\<rangle\>>>
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
<\verbatim>
|
||||
qcl\<gtr\>\
|
||||
</verbatim>
|
||||
</with>>
|
||||
\;
|
||||
</input>
|
||||
</session>
|
||||
|
||||
<apply|tmdoc-copyright|2003|Chu-Ching Huang>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|toc-10|<tuple|8.2|?>>
|
||||
<associate|toc-11|<tuple|8.3|?>>
|
||||
<associate|gly-1|<tuple|1|?>>
|
||||
<associate|idx-1|<tuple|<uninit>|?>>
|
||||
<associate|toc-12|<tuple|8.4|?>>
|
||||
<associate|gly-2|<tuple|2|?>>
|
||||
<associate|idx-2|<tuple|1|?>>
|
||||
<associate|gly-3|<tuple|3|?>>
|
||||
<associate|toc-13|<tuple|8.5|?>>
|
||||
<associate|idx-3|<tuple|3|?>>
|
||||
<associate|gly-4|<tuple|4|?>>
|
||||
<associate|toc-14|<tuple|8.6|?>>
|
||||
<associate|idx-4|<tuple|7|?>>
|
||||
<associate|gly-5|<tuple|5|?>>
|
||||
<associate|toc-15|<tuple|8.7|?>>
|
||||
<associate|idx-5|<tuple|8|?>>
|
||||
<associate|toc-16|<tuple|8.8|?>>
|
||||
<associate|gly-6|<tuple|6|?>>
|
||||
<associate|gly-7|<tuple|7|?>>
|
||||
<associate|gly-8|<tuple|8|?>>
|
||||
<associate|gly-9|<tuple|9|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|8.1|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
|
@ -0,0 +1,209 @@
|
|||
<TeXmacs|1.0.1.18>
|
||||
|
||||
<style|<tuple|tmdoc|maxima>>
|
||||
|
||||
<\body>
|
||||
<\expand|tmdoc-title>
|
||||
Utilizzare sessioni di Qcl in <TeXmacs>
|
||||
</expand>
|
||||
|
||||
<name|Qcl> è un linguaggio di programmazione di alto livello e indipendente
|
||||
dall'architettura per i computer quantistici, con una sintassi derivata dai
|
||||
linguaggi procedurali classici come il <name|C> o il <name|Pascal>. Questo
|
||||
permette la completa implementazione e la simulazione di algoritmi
|
||||
quantistici (includendo componenti classiche) in un formalismo consistente.
|
||||
L'interfaccia di <TeXmacs> è utile soprattutto per visualizzare in modo
|
||||
leggibile gli stati quantici. Per maggiori informazioni si veda
|
||||
|
||||
<\verbatim>
|
||||
\ \ \ \ http://tph.tuwien.ac.at/~oemer/qcl.html
|
||||
</verbatim>
|
||||
|
||||
Come consiglio, gli utilizzatori farebbero meglio ad installare la versione
|
||||
binaria più recente, ora vi è la 0.5, poiché è difficile compilare dai
|
||||
codici sorgenti. Inoltre, se si installa <name|Qcl> dalla versione binaria,
|
||||
ci si assicuri che tutta la directory di libreria, <verbatim|lib>, sia
|
||||
sotto la directory in cui sono posti i file binari <verbatim|qcl>.
|
||||
|
||||
<\session|qcl|default>
|
||||
<\output>
|
||||
QCL Quantum Computation Language (32 qubits, seed 1051277574)
|
||||
|
||||
[0/32] <with|mode|math|1<hspace|0.25spc><with|color|magenta|\|<with|math
|
||||
font family|rm|0>\<rangle\>>>
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
<\verbatim>
|
||||
qcl\<gtr\>\
|
||||
</verbatim>
|
||||
</with>>
|
||||
qureg a[1];
|
||||
</input>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
<\verbatim>
|
||||
qcl\<gtr\>\
|
||||
</verbatim>
|
||||
</with>>
|
||||
Rot(pi/4,a);
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
[1/32] <with|mode|math|0.92388<hspace|0.25spc><with|color|magenta|\|<with|math
|
||||
font family|rm|0>\<rangle\>>-0.38268<hspace|0.25spc><with|color|magenta|\|<with|math
|
||||
font family|rm|1>\<rangle\>>>
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
<\verbatim>
|
||||
qcl\<gtr\>\
|
||||
</verbatim>
|
||||
</with>>
|
||||
Mix(a);
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
[1/32] <with|mode|math|0.38268<hspace|0.25spc><with|color|magenta|\|<with|math
|
||||
font family|rm|0>\<rangle\>>+0.92388<hspace|0.25spc><with|color|magenta|\|<with|math
|
||||
font family|rm|1>\<rangle\>>>
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
<\verbatim>
|
||||
qcl\<gtr\>\
|
||||
</verbatim>
|
||||
</with>>
|
||||
dump;
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\with|color|blue>
|
||||
<\verbatim>
|
||||
STATE: 1 / 32 qubits allocated, 31 / 32 qubits free
|
||||
</verbatim>
|
||||
</with>
|
||||
|
||||
<\with|mode|math>
|
||||
0.38268<hspace|0.25spc><with|color|magenta|\|<with|math font
|
||||
family|rm|0>\<rangle\>>+0.92388<hspace|0.25spc><with|color|magenta|\|<with|math
|
||||
font family|rm|1>\<rangle\>>
|
||||
</with>
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
<\verbatim>
|
||||
qcl\<gtr\>\
|
||||
</verbatim>
|
||||
</with>>
|
||||
include "shor.qcl";
|
||||
</input>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
<\verbatim>
|
||||
qcl\<gtr\>\
|
||||
</verbatim>
|
||||
</with>>
|
||||
operator dft(qureg q) { const n=#q; int i; int j;for i=1 to n { for j=1
|
||||
to i-1 { if q[n-1] and q[n-j] {Phase(pi/2^(i-j));}} H(q[n-1]);}
|
||||
flip(q); }
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<\with|color|red>
|
||||
<\verbatim>
|
||||
at "operator dft(qureg q) { c ...":
|
||||
</verbatim>
|
||||
</with>
|
||||
|
||||
<\with|color|red>
|
||||
<\verbatim>
|
||||
illegal scope: Global symbol dft already defined
|
||||
</verbatim>
|
||||
</with>
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
<\verbatim>
|
||||
qcl\<gtr\>\
|
||||
</verbatim>
|
||||
</with>>
|
||||
dft(a);
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
[1/32] <with|mode|math|0.70711<hspace|0.25spc><with|color|magenta|\|<with|math
|
||||
font family|rm|0>\<rangle\>>+0.70711<hspace|0.25spc><with|color|magenta|\|<with|math
|
||||
font family|rm|1>\<rangle\>>>
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
<\verbatim>
|
||||
qcl\<gtr\>\
|
||||
</verbatim>
|
||||
</with>>
|
||||
\;
|
||||
</input>
|
||||
</session>
|
||||
|
||||
<apply|tmdoc-copyright|2003|Chu-Ching Huang, Lucia Gecchelin>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|italian>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|toc-10|<tuple|8.2|?>>
|
||||
<associate|toc-11|<tuple|8.3|?>>
|
||||
<associate|gly-1|<tuple|1|?>>
|
||||
<associate|idx-1|<tuple|<uninit>|?>>
|
||||
<associate|idx-2|<tuple|1|?>>
|
||||
<associate|gly-2|<tuple|2|?>>
|
||||
<associate|toc-12|<tuple|8.4|?>>
|
||||
<associate|gly-3|<tuple|3|?>>
|
||||
<associate|toc-13|<tuple|8.5|?>>
|
||||
<associate|idx-3|<tuple|3|?>>
|
||||
<associate|gly-4|<tuple|4|?>>
|
||||
<associate|toc-14|<tuple|8.6|?>>
|
||||
<associate|idx-4|<tuple|7|?>>
|
||||
<associate|gly-5|<tuple|5|?>>
|
||||
<associate|toc-15|<tuple|8.7|?>>
|
||||
<associate|idx-5|<tuple|8|?>>
|
||||
<associate|gly-6|<tuple|6|?>>
|
||||
<associate|toc-16|<tuple|8.8|?>>
|
||||
<associate|gly-7|<tuple|7|?>>
|
||||
<associate|gly-8|<tuple|8|?>>
|
||||
<associate|gly-9|<tuple|9|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|8.1|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
|
@ -0,0 +1,65 @@
|
|||
<TeXmacs|1.0.2.3>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<expand|tmdoc-title|The Qcl system>
|
||||
|
||||
<hlink|QCL|http://tph.tuwien.ac.at/~oemer/qcl.html> is a high level,
|
||||
architecture independent programming language for quantum computers, with a
|
||||
syntax derived from classical procedural languages like C or Pascal. This
|
||||
allows for the complete implementation and simulation of quantum algorithms
|
||||
(including classical components) in one consistent formalism. QCL is
|
||||
developed by <hlink|<name|Bernhard Ömer>|http://tph.tuwien.ac.at/~oemer/qcl.html>.
|
||||
The <TeXmacs> interface is mainly useful for displaying quantum states in a
|
||||
readable way.
|
||||
|
||||
<apply|tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|yacas|<tuple|5|?>>
|
||||
<associate|giac|<tuple|1|?>>
|
||||
<associate|gtybalt|<tuple|1|?>>
|
||||
<associate|pari|<tuple|4|?>>
|
||||
<associate|qcl|<tuple|6|?>>
|
||||
<associate|r|<tuple|6|?>>
|
||||
<associate|maxima|<tuple|3|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|macaulay2|<tuple|2|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|octave|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|9|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
|
@ -0,0 +1,777 @@
|
|||
<TeXmacs|1.0.1.20>
|
||||
|
||||
<style|<tuple|tmdoc|maxima>>
|
||||
|
||||
<\body>
|
||||
<\expand|tmdoc-title>
|
||||
Using GNU R sessions inside <TeXmacs>
|
||||
</expand>
|
||||
|
||||
GNU <name|R> is an integrated suit of software facilities for data
|
||||
manipulation and graphical display. Many people use R as a statistics
|
||||
system. But the developers prefer to think of it as an implement within
|
||||
which many classical and modern statistical techniques have been
|
||||
implemented. You may download <name|R> from
|
||||
|
||||
<\verbatim>
|
||||
\ \ \ \ http://www.r-project.org
|
||||
</verbatim>
|
||||
|
||||
In order to launch an <name|R> session inside <TeXmacs>, use
|
||||
<apply|menu|Insert|Session|R>. The <verbatim|v()> function can be used in
|
||||
order to include the contents of the <name|R> graphics window inside your
|
||||
worksheet.
|
||||
|
||||
<\session|r|default>
|
||||
<\output>
|
||||
\<gtr\> Welcome to the TeXmacs interface to R.
|
||||
|
||||
To put the current graph in the TeXmacs buffer as an eps use v().
|
||||
|
||||
The functions plotv(), linesv(), and pointsv() are provided as a
|
||||
convenience.
|
||||
|
||||
They do the regular function, and then insert the graph.
|
||||
|
||||
\;
|
||||
|
||||
To change the size of the graph that is inserted to TeXmacs,just adjust
|
||||
the size of the X11 window.
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
</with>>
|
||||
qnorm(1/2,mean=0,sd=1)
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
[1] 0
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
</with>>
|
||||
x\<less\>-1:100
|
||||
</input>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
</with>>
|
||||
y\<less\>-rnorm(x)
|
||||
</input>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
</with>>
|
||||
plot(x,y)
|
||||
</input>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
</with>>
|
||||
v()
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<postscript|<tuple|<raw_data|%!PS-Adobe-3.0
|
||||
EPSF-3.0\n%%DocumentNeededResources: font Helvetica\n%%+ font
|
||||
Helvetica-Bold\n%%+ font Helvetica-Oblique\n%%+ font
|
||||
Helvetica-BoldOblique\n%%+ font Symbol\n%%Title: R Graphics
|
||||
Output\n%%Creator: R Software\n%%Pages: (atend)\n%%BoundingBox: 0 0 504
|
||||
504\n%%EndComments\n%%BeginProlog\n/bp \ { gs gs } def\n% begin
|
||||
.ps.prolog\n/gs \ { gsave } def\n/gr \ { grestore } def\n/ep \ {
|
||||
showpage gr gr } def\n/m \ \ { moveto } def\n/l \ { rlineto } def\n/np
|
||||
\ { newpath } def\n/cp \ { closepath } def\n/f \ \ { fill } def\n/o
|
||||
\ \ { stroke } def\n/c \ \ { newpath 0 360 arc } def\n/r \ \ { 4 2 roll
|
||||
moveto 1 copy 3 -1 roll exch 0 exch rlineto 0 rlineto -1 mul 0 exch
|
||||
rlineto closepath } def\n/p1 \ { stroke } def\n/p2 \ { gsave bg
|
||||
setrgbcolor fill grestore newpath } def\n/p3 \ { gsave bg setrgbcolor
|
||||
fill grestore stroke } def\n/t \ \ { 6 -2 roll moveto gsave rotate\n
|
||||
\ \ \ \ \ \ ps mul neg 0 2 1 roll rmoveto\n \ \ \ \ \ \ 1 index
|
||||
stringwidth pop\n \ \ \ \ \ \ mul neg 0 rmoveto show grestore }
|
||||
def\n/cl \ { grestore gsave newpath 3 index 3 index moveto 1 index\n
|
||||
\ \ \ \ \ \ 4 -1 roll lineto \ exch 1 index lineto lineto\n
|
||||
\ \ \ \ \ \ closepath clip newpath } def\n/rgb { setrgbcolor } def\n/s
|
||||
\ \ { scalefont setfont } def\n/R \ \ { /Font1 findfont } def\n/B \ \ {
|
||||
/Font2 findfont } def\n/I \ \ { /Font3 findfont } def\n/BI \ { /Font4
|
||||
findfont } def\n/S \ \ { /Font5 findfont } def\n1 setlinecap 1
|
||||
setlinejoin\n% end \ \ .ps.prolog\n%%IncludeResource: font
|
||||
Helvetica\n/Helvetica findfont\ndup length dict begin\n \ {1 index /FID
|
||||
ne {def} {pop pop} ifelse} forall\n \ /Encoding ISOLatin1Encoding def\n
|
||||
\ currentdict\n \ end\n/Font1 exch definefont pop\n%%IncludeResource:
|
||||
font Helvetica-Bold\n/Helvetica-Bold findfont\ndup length dict begin\n
|
||||
\ {1 index /FID ne {def} {pop pop} ifelse} forall\n \ /Encoding
|
||||
ISOLatin1Encoding def\n \ currentdict\n \ end\n/Font2 exch definefont
|
||||
pop\n%%IncludeResource: font Helvetica-Oblique\n/Helvetica-Oblique
|
||||
findfont\ndup length dict begin\n \ {1 index /FID ne {def} {pop pop}
|
||||
ifelse} forall\n \ /Encoding ISOLatin1Encoding def\n \ currentdict\n
|
||||
\ end\n/Font3 exch definefont pop\n%%IncludeResource: font
|
||||
Helvetica-BoldOblique\n/Helvetica-BoldOblique findfont\ndup length dict
|
||||
begin\n \ {1 index /FID ne {def} {pop pop} ifelse} forall\n \ /Encoding
|
||||
ISOLatin1Encoding def\n \ currentdict\n \ end\n/Font4 exch definefont
|
||||
pop\n%%IncludeResource: font Symbol\n/Symbol findfont\ndup length dict
|
||||
begin\n \ {1 index /FID ne {def} {pop pop} ifelse} forall\n
|
||||
\ currentdict\n \ end\n/Font5 exch definefont pop\n%%EndProlog\n%%Page:
|
||||
1 1\nbp\n34.44 42.84 486.00 469.31 cl\n34.44 42.84 486.00 469.31 cl\n0
|
||||
0 0 rgb\n0.75 setlinewidth\n[] 0 setdash\n51.16 275.86 1.58 c p1\n55.39
|
||||
122.88 1.58 c p1\n59.61 185.12 1.58 c p1\n63.83 309.09 1.58 c p1\n68.06
|
||||
286.38 1.58 c p1\n72.28 194.27 1.58 c p1\n76.50 348.93 1.58 c p1\n80.73
|
||||
188.74 1.58 c p1\n84.95 183.40 1.58 c p1\n89.17 411.44 1.58 c p1\n93.40
|
||||
99.89 1.58 c p1\n97.62 280.18 1.58 c p1\n101.84 187.84 1.58 c
|
||||
p1\n106.07 323.91 1.58 c p1\n110.29 193.11 1.58 c p1\n114.51 135.72
|
||||
1.58 c p1\n118.74 296.82 1.58 c p1\n122.96 155.47 1.58 c p1\n127.18
|
||||
248.65 1.58 c p1\n131.41 58.64 1.58 c p1\n135.63 307.87 1.58 c
|
||||
p1\n139.85 198.36 1.58 c p1\n144.08 135.28 1.58 c p1\n148.30 303.15
|
||||
1.58 c p1\n152.52 406.84 1.58 c p1\n156.75 284.12 1.58 c p1\n160.97
|
||||
409.03 1.58 c p1\n165.19 259.07 1.58 c p1\n169.42 355.92 1.58 c
|
||||
p1\n173.64 162.72 1.58 c p1\n177.86 217.28 1.58 c p1\n182.09 394.53
|
||||
1.58 c p1\n186.31 293.09 1.58 c p1\n190.53 255.75 1.58 c p1\n194.76
|
||||
278.35 1.58 c p1\n198.98 401.37 1.58 c p1\n203.20 99.91 1.58 c
|
||||
p1\n207.43 184.08 1.58 c p1\n211.65 453.51 1.58 c p1\n215.87 195.74
|
||||
1.58 c p1\n220.10 361.49 1.58 c p1\n224.32 351.51 1.58 c p1\n228.54
|
||||
241.03 1.58 c p1\n232.77 169.00 1.58 c p1\n236.99 331.28 1.58 c
|
||||
p1\n241.21 164.97 1.58 c p1\n245.44 342.69 1.58 c p1\n249.66 332.54
|
||||
1.58 c p1\n253.88 418.10 1.58 c p1\n258.11 281.46 1.58 c p1\n262.33
|
||||
238.42 1.58 c p1\n266.55 251.98 1.58 c p1\n270.78 381.79 1.58 c
|
||||
p1\n275.00 399.95 1.58 c p1\n279.22 191.56 1.58 c p1\n283.45 107.38
|
||||
1.58 c p1\n287.67 295.07 1.58 c p1\n291.89 379.61 1.58 c p1\n296.12
|
||||
167.68 1.58 c p1\n300.34 269.31 1.58 c p1\n304.56 425.28 1.58 c
|
||||
p1\n308.79 116.53 1.58 c p1\n313.01 214.11 1.58 c p1\n317.23 254.73
|
||||
1.58 c p1\n321.46 245.88 1.58 c p1\n325.68 259.42 1.58 c p1\n329.90
|
||||
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|
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|
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|
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|
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<\input|<\with|color|red>
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\<gtr\> <with|color|black|>
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370.38 m\n-4.20 -0.00 l\no\n24.36 58.64 (0) .5 0 90 t\n24.36 162.55 (5)
|
||||
.5 0 90 t\n24.36 266.46 (10) .5 0 90 t\n24.36 370.38 (15) .5 0 90
|
||||
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|
||||
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|
||||
p1\n127.18 58.64 38.01 103.91 r p1\n165.19 58.64 38.01 270.18 r
|
||||
p1\n203.20 58.64 38.01 207.83 r p1\n241.21 58.64 38.01 311.74 r
|
||||
p1\n279.22 58.64 38.01 394.88 r p1\n317.23 58.64 38.01 166.26 r
|
||||
p1\n355.24 58.64 38.01 187.05 r p1\n393.25 58.64 38.01 207.83 r
|
||||
p1\n431.26 58.64 38.01 83.13 r p1\nep\n%%Trailer\n%%Pages:
|
||||
1\n%%EOF\n>|ps>|/2|/2||||>
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
</with>>
|
||||
summary(z)
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
\ \ \ \ \ Min. \ \ 1st Qu. \ \ \ Median \ \ \ \ \ Mean \ \ 3rd Qu.
|
||||
\ \ \ \ \ Max.\
|
||||
|
||||
-2.802000 -1.003000 \ 0.007691 -0.040620 \ 0.840500 \ 2.447000\
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
</with>>
|
||||
hist(y,seq(-4,3.5,0.2),prob=TRUE)
|
||||
</input>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
</with>>
|
||||
v()
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
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fill grestore stroke } def\n/t \ \ { 6 -2 roll moveto gsave rotate\n
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\ \ \ \ \ \ ps mul neg 0 2 1 roll rmoveto\n \ \ \ \ \ \ 1 index
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||||
stringwidth pop\n \ \ \ \ \ \ mul neg 0 rmoveto show grestore }
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||||
def\n/cl \ { grestore gsave newpath 3 index 3 index moveto 1 index\n
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||||
\ \ \ \ \ \ 4 -1 roll lineto \ exch 1 index lineto lineto\n
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||||
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||||
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||||
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|
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|
||||
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|
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0.00 r p1\n457.97 58.64 11.30 0.00 r p1\nep\n%%Trailer\n%%Pages:
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||||
1\n%%EOF\n>|ps>|/2|/2||||>
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
</with>>
|
||||
\;
|
||||
</input>
|
||||
</session>
|
||||
|
||||
<apply|tmdoc-copyright|2003|Chu-Ching Huang|Joris van der Hoeven>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|toc-10|<tuple|8.2|?>>
|
||||
<associate|toc-11|<tuple|8.3|?>>
|
||||
<associate|gly-1|<tuple|1|?>>
|
||||
<associate|idx-1|<tuple|<uninit>|?>>
|
||||
<associate|idx-2|<tuple|1|?>>
|
||||
<associate|gly-2|<tuple|2|?>>
|
||||
<associate|toc-12|<tuple|8.4|?>>
|
||||
<associate|gly-3|<tuple|3|?>>
|
||||
<associate|toc-13|<tuple|8.5|?>>
|
||||
<associate|idx-3|<tuple|3|?>>
|
||||
<associate|gly-4|<tuple|4|?>>
|
||||
<associate|toc-14|<tuple|8.6|?>>
|
||||
<associate|idx-4|<tuple|7|?>>
|
||||
<associate|gly-5|<tuple|5|?>>
|
||||
<associate|toc-15|<tuple|8.7|?>>
|
||||
<associate|idx-5|<tuple|8|?>>
|
||||
<associate|gly-6|<tuple|6|?>>
|
||||
<associate|toc-16|<tuple|8.8|?>>
|
||||
<associate|gly-7|<tuple|7|?>>
|
||||
<associate|gly-8|<tuple|8|?>>
|
||||
<associate|gly-9|<tuple|9|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|8.1|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
||||
<\auxiliary>
|
||||
<\collection>
|
||||
<\associate|figure>
|
||||
<tuple|normal||<pageref|gly-1>>
|
||||
|
||||
<tuple|normal||<pageref|gly-2>>
|
||||
|
||||
<tuple|normal||<pageref|gly-3>>
|
||||
|
||||
<tuple|normal||<pageref|gly-4>>
|
||||
|
||||
<tuple|normal||<pageref|gly-5>>
|
||||
|
||||
<tuple|normal||<pageref|gly-6>>
|
||||
</associate>
|
||||
</collection>
|
||||
</auxiliary>
|
||||
|
|
@ -0,0 +1,770 @@
|
|||
<TeXmacs|1.0.1.18>
|
||||
|
||||
<style|<tuple|tmdoc|maxima>>
|
||||
|
||||
<\body>
|
||||
<\expand|tmdoc-title>
|
||||
Utilizzare le sessioni di GNU R in <TeXmacs>
|
||||
</expand>
|
||||
|
||||
GNU <name|R> è un insieme integrato di strumenti software per la
|
||||
manipolazione dei dati e la visualizzazione grafica. Molte persone
|
||||
utilizzano R come un sistema statistico. Ma gli sviluppatori preferiscono
|
||||
pensarlo come uno strumento in cui sono stati implementate molte tecniche
|
||||
statistiche classiche e moderne. Si può scaricare <name|R> da
|
||||
|
||||
<\verbatim>
|
||||
\ \ \ \ http://www.r-project.org
|
||||
</verbatim>
|
||||
|
||||
Per poter lanciare una sessione di <name|R> in <TeXmacs>, si utilizza
|
||||
<apply|menu|Insert|Session|R>. La funzione <verbatim|v()>può essere
|
||||
utilizzata per includere il contenuto delle finestre grafiche di <name|R>
|
||||
nel proprio foglio di lavoro.
|
||||
|
||||
<\session|r|default>
|
||||
<\output>
|
||||
\<gtr\> Welcome to the TeXmacs interface to R.
|
||||
|
||||
To put the current graph in the TeXmacs buffer as an eps use v().
|
||||
|
||||
The functions plotv(), linesv(), and pointsv() are provided as a
|
||||
convenience.
|
||||
|
||||
They do the regular function, and then insert the graph.
|
||||
|
||||
\;
|
||||
|
||||
To change the size of the graph that is inserted to TeXmacs,just adjust
|
||||
the size of the X11 window.
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
</with>>
|
||||
qnorm(1/2,mean=0,sd=1)
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
[1] 0
|
||||
</output>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
</with>>
|
||||
x\<less\>-1:100
|
||||
</input>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
</with>>
|
||||
y\<less\>-rnorm(x)
|
||||
</input>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
</with>>
|
||||
plot(x,y)
|
||||
</input>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
</with>>
|
||||
v()
|
||||
</input>
|
||||
|
||||
<\output>
|
||||
<postscript|<tuple|<raw_data|%!PS-Adobe-3.0
|
||||
EPSF-3.0\n%%DocumentNeededResources: font Helvetica\n%%+ font
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||||
Helvetica-Bold\n%%+ font Helvetica-Oblique\n%%+ font
|
||||
Helvetica-BoldOblique\n%%+ font Symbol\n%%Title: R Graphics
|
||||
Output\n%%Creator: R Software\n%%Pages: (atend)\n%%BoundingBox: 0 0 504
|
||||
504\n%%EndComments\n%%BeginProlog\n/bp \ { gs gs } def\n% begin
|
||||
.ps.prolog\n/gs \ { gsave } def\n/gr \ { grestore } def\n/ep \ {
|
||||
showpage gr gr } def\n/m \ \ { moveto } def\n/l \ { rlineto } def\n/np
|
||||
\ { newpath } def\n/cp \ { closepath } def\n/f \ \ { fill } def\n/o
|
||||
\ \ { stroke } def\n/c \ \ { newpath 0 360 arc } def\n/r \ \ { 4 2 roll
|
||||
moveto 1 copy 3 -1 roll exch 0 exch rlineto 0 rlineto -1 mul 0 exch
|
||||
rlineto closepath } def\n/p1 \ { stroke } def\n/p2 \ { gsave bg
|
||||
setrgbcolor fill grestore newpath } def\n/p3 \ { gsave bg setrgbcolor
|
||||
fill grestore stroke } def\n/t \ \ { 6 -2 roll moveto gsave rotate\n
|
||||
\ \ \ \ \ \ ps mul neg 0 2 1 roll rmoveto\n \ \ \ \ \ \ 1 index
|
||||
stringwidth pop\n \ \ \ \ \ \ mul neg 0 rmoveto show grestore }
|
||||
def\n/cl \ { grestore gsave newpath 3 index 3 index moveto 1 index\n
|
||||
\ \ \ \ \ \ 4 -1 roll lineto \ exch 1 index lineto lineto\n
|
||||
\ \ \ \ \ \ closepath clip newpath } def\n/rgb { setrgbcolor } def\n/s
|
||||
\ \ { scalefont setfont } def\n/R \ \ { /Font1 findfont } def\n/B \ \ {
|
||||
/Font2 findfont } def\n/I \ \ { /Font3 findfont } def\n/BI \ { /Font4
|
||||
findfont } def\n/S \ \ { /Font5 findfont } def\n1 setlinecap 1
|
||||
setlinejoin\n% end \ \ .ps.prolog\n%%IncludeResource: font
|
||||
Helvetica\n/Helvetica findfont\ndup length dict begin\n \ {1 index /FID
|
||||
ne {def} {pop pop} ifelse} forall\n \ /Encoding ISOLatin1Encoding def\n
|
||||
\ currentdict\n \ end\n/Font1 exch definefont pop\n%%IncludeResource:
|
||||
font Helvetica-Bold\n/Helvetica-Bold findfont\ndup length dict begin\n
|
||||
\ {1 index /FID ne {def} {pop pop} ifelse} forall\n \ /Encoding
|
||||
ISOLatin1Encoding def\n \ currentdict\n \ end\n/Font2 exch definefont
|
||||
pop\n%%IncludeResource: font Helvetica-Oblique\n/Helvetica-Oblique
|
||||
findfont\ndup length dict begin\n \ {1 index /FID ne {def} {pop pop}
|
||||
ifelse} forall\n \ /Encoding ISOLatin1Encoding def\n \ currentdict\n
|
||||
\ end\n/Font3 exch definefont pop\n%%IncludeResource: font
|
||||
Helvetica-BoldOblique\n/Helvetica-BoldOblique findfont\ndup length dict
|
||||
begin\n \ {1 index /FID ne {def} {pop pop} ifelse} forall\n \ /Encoding
|
||||
ISOLatin1Encoding def\n \ currentdict\n \ end\n/Font4 exch definefont
|
||||
pop\n%%IncludeResource: font Symbol\n/Symbol findfont\ndup length dict
|
||||
begin\n \ {1 index /FID ne {def} {pop pop} ifelse} forall\n
|
||||
\ currentdict\n \ end\n/Font5 exch definefont pop\n%%EndProlog\n%%Page:
|
||||
1 1\nbp\n34.44 42.84 486.00 469.31 cl\n34.44 42.84 486.00 469.31 cl\n0
|
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0 0 rgb\n0.75 setlinewidth\n[] 0 setdash\n51.16 275.86 1.58 c p1\n55.39
|
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122.88 1.58 c p1\n59.61 185.12 1.58 c p1\n63.83 309.09 1.58 c p1\n68.06
|
||||
286.38 1.58 c p1\n72.28 194.27 1.58 c p1\n76.50 348.93 1.58 c p1\n80.73
|
||||
188.74 1.58 c p1\n84.95 183.40 1.58 c p1\n89.17 411.44 1.58 c p1\n93.40
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\<gtr\> <with|color|black|>
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|
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|
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|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
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|
||||
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|
||||
</input>
|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
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|
||||
v()
|
||||
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|
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|
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|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
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|
||||
hist(z)
|
||||
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|
||||
|
||||
<\input|<\with|color|red>
|
||||
\<gtr\> <with|color|black|>
|
||||
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|
||||
v()
|
||||
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|
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|
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|
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||||
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||||
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||||
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||||
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||||
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||||
|
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|
||||
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|
||||
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|
||||
|
||||
<\output>
|
||||
\ \ \ \ \ Min. \ \ 1st Qu. \ \ \ Median \ \ \ \ \ Mean \ \ 3rd Qu.
|
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\ \ \ \ \ Max.\
|
||||
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||||
-2.802000 -1.003000 \ 0.007691 -0.040620 \ 0.840500 \ 2.447000\
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|
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|
||||
|
||||
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|
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|
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v()
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<apply|tmdoc-copyright|2003|Chu-Ching Huang|Joris van der Hoeven, Lucia
|
||||
Gecchelin>
|
||||
|
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<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
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<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|8.1|?>>
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||||
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|
||||
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||||
|
||||
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|
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|
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|
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<TeXmacs|1.0.2.3>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<expand|tmdoc-title|The GNU R system>
|
||||
|
||||
<hlink|R|http://www.r-project.org/> is a language and environment for
|
||||
statistical computing and graphics. It is a GNU project which is similar to
|
||||
the S language and environment which was developed at Bell Laboratories by
|
||||
J<name|ohn Chambers> and colleagues. R can be considered as a different
|
||||
implementation of S. There are some important differences, but much code
|
||||
written for S runs unaltered under R.
|
||||
|
||||
R provides a wide variety of statistical (linear and nonlinear modelling,
|
||||
classical statistical tests, time-series analysis, classification,
|
||||
clustering, ...) and graphical techniques, and is highly extensible. The S
|
||||
language is often the vehicle of choice for research in statistical
|
||||
methodology, and R provides an Open Source route to participation in that
|
||||
activity.
|
||||
|
||||
A first experimental interface with <TeXmacs> has been written by
|
||||
<name|Michael Lackmann>. This allows you to use R interactively inside
|
||||
<TeXmacs> and to easily include tables and the high quality plots from R
|
||||
into your scientific papers.
|
||||
|
||||
<apply|tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
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|
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|
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|
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|
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<associate|toc-4|<tuple|4|?>>
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|
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|
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|
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|
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<associate|toc-9|<tuple|9|?>>
|
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</collection>
|
||||
</references>
|
||||
|
|
@ -0,0 +1,32 @@
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<TeXmacs|1.0.6.11>
|
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|
||||
<style|<tuple|tmdoc|maxima>>
|
||||
|
||||
<\body>
|
||||
<\tmdoc-title>
|
||||
Sage
|
||||
</tmdoc-title>
|
||||
|
||||
<hlink|<name|Sage>|http://www.sagemath.org/> is an open source system for
|
||||
mathematical computations. It is written in
|
||||
<hlink|<name|Python>|http://python.org/> and provides interfaces for a wide
|
||||
variety of other systems, such as <name|Axiom>, <name|Gap>, <name|Pari GP>,
|
||||
<name|Macaulay<nbsp>2>, <name|Maxima>, <name|Octave>, and <name|Singular>.
|
||||
The system was started by <hlink|<name|William
|
||||
Stein>|http://modular.math.washington.edu/>.
|
||||
|
||||
<tmdoc-copyright|2007|Joris van der Hoeven>
|
||||
|
||||
<tmdoc-license|Permission is granted to copy, distribute and/or modify this
|
||||
document under the terms of the GNU Free Documentation License, Version 1.1
|
||||
or any later version published by the Free Software Foundation; with no
|
||||
Invariant Sections, with no Front-Cover Texts, and with no Back-Cover
|
||||
Texts. A copy of the license is included in the section entitled "GNU Free
|
||||
Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
|
@ -0,0 +1,88 @@
|
|||
<TeXmacs|1.0.2.3>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<expand|tmdoc-title|The <TeX>/<LaTeX> system>
|
||||
|
||||
<TeX> (= tau epsilon chi, and pronounced as "tecch") is a computer language
|
||||
for use in mathematical typesetting, developed by <abbr|D.E.> <name|Knuth>
|
||||
from the late 1970s until the late 1980s. The main aim was to provide
|
||||
output with a typesetting quality that you would expect in nicely printed
|
||||
books. In the meantime, D.E. <name|Knuth> also developed <name|Metafont>, a
|
||||
tool to automatically generate nice looking (mathematical) character fonts.
|
||||
In the 1980s and 1990s <TeX> has been extended by many people, given rise
|
||||
for instance to <LaTeX>, <name|Ams><TeX> and so on. Current <TeX>
|
||||
distributions usually contain all these different programs.
|
||||
|
||||
In order to use <TeXmacs>, it is assumed that you have installed a <TeX>
|
||||
system on your system, although <TeXmacs> really only uses the
|
||||
<name|Metafont> program to generate its fonts. At the moment, <TeXmacs>
|
||||
also needs the <name|Bib<TeX>> program for generating bibliographies.
|
||||
|
||||
More information about the <TeX> system can be found at
|
||||
|
||||
<\itemize>
|
||||
<item>The <hlink|Dante|http://www.dante.de> server, for software related
|
||||
to <TeX>.
|
||||
|
||||
<item>The <TeX> users group <hlink|home page|http://www.tug.org>.
|
||||
|
||||
<item>Red hat <hlink|packages|http://at.rpmfind.net/opsys/linux/RPM/tetex.html>
|
||||
for easy installation of <TeX>.
|
||||
|
||||
<item>The <hlink|home page|http://www-cs-faculty.stanford.edu/~knuth/> of
|
||||
<abbr|Prof.> <name|Knuth>.
|
||||
|
||||
<item>A brief <hlink|history|http://www.tug.org/whatis.html> of <TeX>.
|
||||
</itemize>
|
||||
|
||||
<apply|tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|giac|<tuple|1|?>>
|
||||
<associate|yacas|<tuple|5|?>>
|
||||
<associate|gtybalt|<tuple|1|?>>
|
||||
<associate|qcl|<tuple|6|?>>
|
||||
<associate|pari|<tuple|4|?>>
|
||||
<associate|r|<tuple|6|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|maxima|<tuple|3|?>>
|
||||
<associate|macaulay2|<tuple|2|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|octave|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|9|?>>
|
||||
</collection>
|
||||
</references>
|
||||
|
|
@ -0,0 +1,26 @@
|
|||
<TeXmacs|1.0.7>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<tmdoc-title|The <TeX>graph system>
|
||||
|
||||
<hlink|<TeX>graph|http://texgraph.tuxfamily.org> is a software for the
|
||||
creation of mathematical graphics, such as lines, circles, curves,
|
||||
surfaces, labels, etc.
|
||||
|
||||
<tmdoc-copyright|2008|Joris van der Hoeven>
|
||||
|
||||
<tmdoc-license|Permission is granted to copy, distribute and/or modify this
|
||||
document under the terms of the GNU Free Documentation License, Version 1.1
|
||||
or any later version published by the Free Software Foundation; with no
|
||||
Invariant Sections, with no Front-Cover Texts, and with no Back-Cover
|
||||
Texts. A copy of the license is included in the section entitled "GNU Free
|
||||
Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
|
@ -0,0 +1,29 @@
|
|||
<TeXmacs|1.0.6.10>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<tmdoc-title|The Xfig drawing tool>
|
||||
|
||||
The <hlink|<name|Xfig>|http://www.xfig.org/> program can be used for
|
||||
creating technical pictures, which may be included in <TeXmacs> documents.
|
||||
A nice feature of <name|Xfig> is that you may include <LaTeX> formulas in
|
||||
pictures. Furthermore, this feature may be used in combination with
|
||||
<TeXmacs>, which will call <LaTeX> to transform the <LaTeX> formula into
|
||||
postscript.
|
||||
|
||||
<tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<tmdoc-license|Permission is granted to copy, distribute and/or modify this
|
||||
document under the terms of the GNU Free Documentation License, Version 1.1
|
||||
or any later version published by the Free Software Foundation; with no
|
||||
Invariant Sections, with no Front-Cover Texts, and with no Back-Cover
|
||||
Texts. A copy of the license is included in the section entitled "GNU Free
|
||||
Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
|
|
@ -0,0 +1,66 @@
|
|||
<TeXmacs|1.0.2.3>
|
||||
|
||||
<style|tmdoc>
|
||||
|
||||
<\body>
|
||||
<expand|tmdoc-title|The Yacas system>
|
||||
|
||||
<hlink|<name|Yacas>|http://www.xs4all.nl/~apinkus/yacas.html> is, as it's
|
||||
name suggest, yet another computer algebra system. Things implemented
|
||||
include: arbitrary precision, rational numeric, vector, complex, and matrix
|
||||
computations (including inverses and determinants and solving matrix
|
||||
equations), derivatives, solving, Taylor series, numerical solving (Newtons
|
||||
method), and a lot more non-mathematical algorithms. The language natively
|
||||
supports variables and user-defined functions. There is basic support for
|
||||
univariate polynomials, integrating functions and tensor calculations.
|
||||
<name|Yacas> is still under development.
|
||||
|
||||
<apply|tmdoc-copyright|1998--2002|Joris van der Hoeven>
|
||||
|
||||
<expand|tmdoc-license|Permission is granted to copy, distribute and/or
|
||||
modify this document under the terms of the GNU Free Documentation License,
|
||||
Version 1.1 or any later version published by the Free Software Foundation;
|
||||
with no Invariant Sections, with no Front-Cover Texts, and with no
|
||||
Back-Cover Texts. A copy of the license is included in the section entitled
|
||||
"GNU Free Documentation License".>
|
||||
</body>
|
||||
|
||||
<\initial>
|
||||
<\collection>
|
||||
<associate|paragraph width|150mm>
|
||||
<associate|odd page margin|30mm>
|
||||
<associate|page right margin|30mm>
|
||||
<associate|page top margin|30mm>
|
||||
<associate|reduction page right margin|25mm>
|
||||
<associate|page type|a4>
|
||||
<associate|reduction page bottom margin|15mm>
|
||||
<associate|even page margin|30mm>
|
||||
<associate|reduction page left margin|25mm>
|
||||
<associate|page bottom margin|30mm>
|
||||
<associate|reduction page top margin|15mm>
|
||||
<associate|language|english>
|
||||
</collection>
|
||||
</initial>
|
||||
|
||||
<\references>
|
||||
<\collection>
|
||||
<associate|yacas|<tuple|5|?>>
|
||||
<associate|giac|<tuple|1|?>>
|
||||
<associate|gtybalt|<tuple|1|?>>
|
||||
<associate|pari|<tuple|4|?>>
|
||||
<associate|qcl|<tuple|6|?>>
|
||||
<associate|r|<tuple|6|?>>
|
||||
<associate|maxima|<tuple|3|?>>
|
||||
<associate|toc-1|<tuple|1|?>>
|
||||
<associate|macaulay2|<tuple|2|?>>
|
||||
<associate|toc-2|<tuple|2|?>>
|
||||
<associate|toc-3|<tuple|3|?>>
|
||||
<associate|toc-4|<tuple|4|?>>
|
||||
<associate|toc-5|<tuple|5|?>>
|
||||
<associate|octave|<tuple|5|?>>
|
||||
<associate|toc-6|<tuple|6|?>>
|
||||
<associate|toc-7|<tuple|7|?>>
|
||||
<associate|toc-8|<tuple|8|?>>
|
||||
<associate|toc-9|<tuple|9|?>>
|
||||
</collection>
|
||||
</references>
|
||||
Loading…
Reference in New Issue