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<html><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><title>Genius-Handbuch</title><meta name="generator" content="DocBook XSL Stylesheets Vsnapshot"><meta name="description" content="Handbuch für das Genius Mathematikwerkzeug."><link rel="home" href="index.html" title="Genius-Handbuch"><link rel="next" href="ch01.html" title="Chapter 1. Einführung"></head><body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"><div class="navheader"><table width="100%" summary="Navigation header"><tr><th colspan="3" align="center">Genius-Handbuch</th></tr><tr><td width="20%" align="left"> </td><th width="60%" align="center"> </th><td width="20%" align="right"> <a accesskey="n" href="ch01.html">Next</a></td></tr></table><hr></div><div lang="messages" class="book"><div class="titlepage"><div><div><h1 class="title"><a name="index"></a>Genius-Handbuch</h1></div><div><div class="authorgroup"><div lang="en" class="author"><h3 lang="en" class="author"><span class="firstname">Jiří</span> <span class="surname">Lebl</span></h3><div class="affiliation"><span class="orgname">Oklahoma State University<br></span><div class="address"><p> <code class="email"><<a class="email" href="mailto:jiri.lebl@gmail.com">jiri.lebl@gmail.com</a>></code> </p></div></div></div><div lang="en" class="author"><h3 lang="en" class="author"><span class="firstname">Kai</span> <span class="surname">Willadsen</span></h3><div class="affiliation"><span class="orgname">University of Queensland, Australia<br></span><div class="address"><p> <code class="email"><<a class="email" href="mailto:kaiw@itee.uq.edu.au">kaiw@itee.uq.edu.au</a>></code> </p></div></div></div></div></div><div><p lang="en" class="releaseinfo">This manual describes version 1.0.27 of Genius.
</p></div><div><p lang="en" class="copyright">Copyright © 1997-2021 Jiří (George) Lebl</p></div><div><p lang="en" class="copyright">Copyright © 2004 Kai Willadsen</p></div><div><div class="legalnotice"><a name="legalnotice"></a><p>Das vorliegende Dokument kann gemäß den Bedingungen der GNU Free Documentation License (GFDL), Version 1.1 oder jeder späteren, von der Free Software Foundation veröffentlichten Version ohne unveränderbare Abschnitte sowie ohne Texte auf dem vorderen und hinteren Buchdeckel kopiert, verteilt und/oder modifiziert werden. Eine Kopie der GFDL finden Sie unter diesem <a class="ulink" href="ghelp:fdl" target="_top">Link</a> oder in der mit diesem Handbuch gelieferten Datei COPYING-DOCS.</p><p>Dieses Handbuch ist Teil einer Sammlung von GNOME-Handbüchern, die unter der GFDL veröffentlicht werden. Wenn Sie dieses Handbuch getrennt von der Sammlung weiterverbreiten möchten, können Sie das tun, indem Sie eine Kopie der Lizenz zum Handbuch hinzufügen, wie es in Abschnitt 6 der Lizenz beschrieben ist.</p><p>Viele der Namen, die von Unternehmen verwendet werden, um ihre Produkte und Dienstleistungen von anderen zu unterscheiden, sind eingetragene Warenzeichen. An den Stellen, an denen diese Namen in einer GNOME-Dokumentation erscheinen, werden die Namen in Großbuchstaben oder mit einem großen Anfangsbuchstaben geschrieben, wenn das GNOME-Dokumentationsprojekt auf diese Warenzeichen hingewiesen wird.</p><p lang="en">
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</p></div></div><div><div class="legalnotice"><a name="idm48"></a><p class="legalnotice-title"><b>Rückmeldungen</b></p><p lang="en">
To report a bug or make a suggestion regarding the <span class="application">Genius Mathematics Tool</span>
application or this manual, please visit the
<a class="ulink" href="http://www.jirka.org/genius.html" target="_top">Genius
Web page</a>
or email me at <code class="email"><<a class="email" href="mailto:jiri.lebl@gmail.com">jiri.lebl@gmail.com</a>></code>.
</p></div></div><div><div class="revhistory"><table style="border-style:solid; width:100%;" summary="Revision History"><tr><th align="left" valign="top" colspan="2"><b>Revision History</b></th></tr><tr><td align="left">Revision 0.2</td><td align="left">October 2021</td></tr><tr><td align="left" colspan="2">
<p lang="en" class="author">Jiri (George) Lebl
<code class="email"><<a class="email" href="mailto:jiri.lebl@gmail.com">jiri.lebl@gmail.com</a>></code>
</p>
</td></tr></table></div></div><div><div class="abstract"><p class="title"><b>Abstract</b></p><p>Handbuch für das Genius Mathematikwerkzeug.</p></div></div></div><hr></div><div class="toc"><p><b>Table of Contents</b></p><dl class="toc"><dt><span class="chapter"><a href="ch01.html">1. Einführung</a></span></dt><dt><span class="chapter"><a href="ch02.html">2. Erste Schritte</a></span></dt><dd><dl><dt><span class="sect1"><a href="ch02.html#genius-to-start"><span class="application">Genius Mathematikwerkzeug starten</span></a></span></dt><dt><span class="sect1"><a href="ch02s02.html">Beim Start von <span class="application">Genius</span></a></span></dt></dl></dd><dt><span class="chapter"><a href="ch03.html">3. Grundlagen der Benutzung</a></span></dt><dd><dl><dt><span class="sect1"><a href="ch03.html#genius-usage-workarea">Benutzung des Arbeitsplatzes</a></span></dt><dt><span class="sect1"><a href="ch03s02.html">Erstellen eines neuen Programms</a></span></dt><dt><span class="sect1"><a href="ch03s03.html">Öffnen und Ausführen eines Programms</a></span></dt></dl></dd><dt><span class="chapter"><a href="ch04.html">4. Darstellung</a></span></dt><dd><dl><dt><span class="sect1"><a href="ch04.html#genius-line-plots">Kurvendarstellungen</a></span></dt><dt><span class="sect1"><a href="ch04s02.html">Parametrische Darstellungen</a></span></dt><dt><span class="sect1"><a href="ch04s03.html">Richtungsfeld-Darstellungen</a></span></dt><dt><span class="sect1"><a href="ch04s04.html">Vektorfeld-Darstellungen</a></span></dt><dt><span class="sect1"><a href="ch04s05.html">2D-Darstellungen</a></span></dt></dl></dd><dt><span class="chapter"><a href="ch05.html">5. GEL-Grundlagen</a></span></dt><dd><dl><dt><span class="sect1"><a href="ch05.html#genius-gel-values">Werte</a></span></dt><dd><dl><dt><span class="sect2"><a href="ch05.html#genius-gel-values-numbers">Zahlen</a></span></dt><dt><span class="sect2"><a href="ch05.html#genius-gel-values-booleans">Wahrheitswerte</a></span></dt><dt><span class="sect2"><a href="ch05.html#genius-gel-values-strings">Strings</a></span></dt><dt><span class="sect2"><a href="ch05.html#genius-gel-values-null">Null</a></span></dt></dl></dd><dt><span class="sect1"><a href="ch05s02.html">Verwendung von Variablen</a></span></dt><dd><dl><dt><span class="sect2"><a href="ch05s02.html#genius-gel-variables-setting">Setzen von Variablen</a></span></dt><dt><span class="sect2"><a href="ch05s02.html#genius-gel-variables-built-in">Eingebaute Variablen</a></span></dt><dt><span class="sect2"><a href="ch05s02.html#genius-gel-previous-result">Vorherige Ergebnisvariable</a></span></dt></dl></dd><dt><span class="sect1"><a href="ch05s03.html">Verwendung von Funktionen</a></span></dt><dd><dl><dt><span class="sect2"><a href="ch05s03.html#genius-gel-functions-defining">Definieren von Funktionen</a></span></dt><dt><span class="sect2"><a href="ch05s03.html#genius-gel-functions-variable-argument-lists">Variable Argument Lists</a></span></dt><dt><span class="sect2"><a href="ch05s03.html#genius-gel-functions-passing-functions">Übergabe von Funktionen an Funktionen</a></span></dt><dt><span class="sect2"><a href="ch05s03.html#genius-gel-functions-operations">Operationen mit Funktionen</a></span></dt></dl></dd><dt><span class="sect1"><a href="ch05s04.html">Trenner</a></span></dt><dt><span class="sect1"><a href="ch05s05.html">Kommentare</a></span></dt><dt><span class="sect1"><a href="ch05s06.html">Modulare Auswertung</a></span></dt><dt><span class="sect1"><a href="ch05s07.html">Liste der GEL-Operatoren</a></span></dt></dl></dd><dt><span class="chapter"><a href="ch06.html">6. Programmierung mit GEL</a></span></dt><dd><dl><dt><span class="sect1"><a href="ch06.html#genius-gel-conditionals">Bedingungen</a></span></dt><dt><span class="sect1"><a href="ch06s02.html">Schleifen</a></span></dt><dd><dl><dt><span class="sect2"><a href="ch06s02.html#genius-gel-loops-while">While-Schleifen</a></span></dt><dt><span class="sect2"><a href="ch06s02.html#genius-gel-loops-for">For-Schleifen</a></span></dt><dt><span class="sect2"><a href="ch06s02.html#genius-gel-loops-foreach">Foreach-Schleifen</a></span></dt><dt><span class="sect2"><a href="ch06s02.html#genius-gel-loops-break-continue">Break and Continue</a></span></dt></dl></dd><dt><span class="sect1"><a href="ch06s03.html">Summen und Produkte</a></span></dt><dt><span class="sect1"><a href="ch06s04.html">Vergleichsoperatoren</a></span></dt><dt><span class="sect1"><a href="ch06s05.html">Globale Variablen und Variablenbereiche</a></span></dt><dt><span class="sect1"><a href="ch06s06.html">Parametervariablen</a></span></dt><dt><span class="sect1"><a href="ch06s07.html">Rückgabewerte</a></span></dt><dt><span class="sect1"><a href="ch06s08.html">Referenzen</a></span></dt><dt><span class="sect1"><a href="ch06s09.html">Lvalues (linke Werte)</a></span></dt></dl></dd><dt><span class="chapter"><a href="ch07.html">7. Fortgeschrittene Programmierung mit GEL</a></span></dt><dd><dl><dt><span class="sect1"><a href="ch07.html#genius-gel-error-handling">Fehlerbehandlung</a></span></dt><dt><span class="sect1"><a href="ch07s02.html">Übergeordnete Syntax</a></span></dt><dt><span class="sect1"><a href="ch07s03.html">Funktionen als Rückgabe</a></span></dt><dt><span class="sect1"><a href="ch07s04.html">Echte lokale Variablen</a></span></dt><dt><span class="sect1"><a href="ch07s05.html">GEL Startprozedur</a></span></dt><dt><span class="sect1"><a href="ch07s06.html">Laden von Programmen</a></span></dt></dl></dd><dt><span class="chapter"><a href="ch08.html">8. Matrizen in GEL</a></span></dt><dd><dl><dt><span class="sect1"><a href="ch08.html#genius-gel-matrix-support">Matrizen eingeben</a></span></dt><dt><span class="sect1"><a href="ch08s02.html">Operatoren für konjugierte Transposition und Transposition</a></span></dt><dt><span class="sect1"><a href="ch08s03.html">Lineare Algebra</a></span></dt></dl></dd><dt><span class="chapter"><a href="ch09.html">9. Polynome in GEL</a></span></dt><dd><dl><dt><span class="sect1"><a href="ch09.html#genius-gel-polynomials-using">Verwendung von Polynomen</a></span></dt></dl></dd><dt><span class="chapter"><a href="ch10.html">10. Mengenlehre in GEL</a></span></dt><dd><dl><dt><span class="sect1"><a href="ch10.html#genius-gel-sets-using">Mengen verwenden</a></span></dt></dl></dd><dt><span class="chapter"><a href="ch11.html">11. Liste der GEL-Funktionen</a></span></dt><dd><dl><dt><span class="sect1"><a href="ch11.html#genius-gel-function-list-commands">Befehle</a></span></dt><dt><span class="sect1"><a href="ch11s02.html">Grundlegendes</a></span></dt><dt><span class="sect1"><a href="ch11s03.html">Parameter</a></span></dt><dt><span class="sect1"><a href="ch11s04.html">Konstanten</a></span></dt><dt><span class="sect1"><a href="ch11s05.html">Numerik</a></span></dt><dt><span class="sect1"><a href="ch11s06.html">Trigonometrie</a></span></dt><dt><span class="sect1"><a href="ch11s07.html">Zahlentheorie</a></span></dt><dt><span class="sect1"><a href="ch11s08.html">Matrixoperationen</a></span></dt><dt><span class="sect1"><a href="ch11s09.html">Lineare Algebra</a></span></dt><dt><span class="sect1"><a href="ch11s10.html">Kombinatorik</a></span></dt><dt><span class="sect1"><a href="ch11s11.html">Analysis</a></span></dt><dt><span class="sect1"><a href="ch11s12.html">Funktionen</a></span></dt><dt><span class="sect1"><a href="ch11s13.html">Gleichungen lösen</a></span></dt><dt><span class="sect1"><a href="ch11s14.html">Statistik</a></span></dt><dt><span class="sect1"><a href="ch11s15.html">Polynomials</a></span></dt><dt><span class="sect1"><a href="ch11s16.html">Mengenlehre</a></span></dt><dt><span class="sect1"><a href="ch11s17.html">Commutative Algebra</a></span></dt><dt><span class="sect1"><a href="ch11s18.html">Verschiedenes</a></span></dt><dt><span class="sect1"><a href="ch11s19.html">Symbolische Operationen</a></span></dt><dt><span class="sect1"><a href="ch11s20.html">Darstellung</a></span></dt></dl></dd><dt><span class="chapter"><a href="ch12.html">12. Beispielprogramme in GEL</a></span></dt><dt><span class="chapter"><a href="ch13.html">13. Einstellungen</a></span></dt><dd><dl><dt><span class="sect1"><a href="ch13.html#genius-prefs-output">Ausgabe</a></span></dt><dt><span class="sect1"><a href="ch13s02.html">Genauigkeit</a></span></dt><dt><span class="sect1"><a href="ch13s03.html">Terminal</a></span></dt><dt><span class="sect1"><a href="ch13s04.html">Speicher</a></span></dt></dl></dd><dt><span class="chapter"><a href="ch14.html">14. Info zu <span class="application">Genius Mathematikwerkzeug</span></a></span></dt></dl></div><div class="list-of-figures"><p><b>List of Figures</b></p><dl><dt>2.1. <a href="ch02s02.html#mainwindow-fig"><span class="application">Genius Mathematikwerkzeug</span>-Fenster</a></dt><dt>4.1. <a href="ch04.html#lineplot-fig">Fenster »Darstellung erstellen«</a></dt><dt>4.2. <a href="ch04.html#lineplot2-fig">Fenster »Darstellen«</a></dt><dt>4.3. <a href="ch04s02.html#paramplot-fig">Reiter »Parametrische Darstellung«</a></dt><dt>4.4. <a href="ch04s02.html#paramplot2-fig">Parametrische Darstellung</a></dt><dt>4.5. <a href="ch04s05.html#surfaceplot-fig">2D-Darstellung</a></dt></dl></div></div><div class="navfooter"><hr><table width="100%" summary="Navigation footer"><tr><td width="40%" align="left"> </td><td width="20%" align="center"> </td><td width="40%" align="right"> <a accesskey="n" href="ch01.html">Next</a></td></tr><tr><td width="40%" align="left" valign="top"> </td><td width="20%" align="center"> </td><td width="40%" align="right" valign="top"> Chapter 1. Einführung</td></tr></table></div></body></html>
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