[genius] Added German doc translation

[Mario Blättermann <mariobl src gnome org>]

commit faa59ecda7b0664af4983857e1b40762fea3f2e7
Author: Mario Blättermann <mariobl gnome org>
Date:   Mon Apr 27 16:46:50 2009 +0200

    Added German doc translation
---
 help/de/de.po |11074 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 1 files changed, 11074 insertions(+), 0 deletions(-)

diff --git a/help/de/de.po b/help/de/de.po
new file mode 100644
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+++ b/help/de/de.po
@@ -0,0 +1,11074 @@
+# German translation of the genius manual.
+# Mario Blättermann <mariobl gnome org>, 2009.
+#
+msgid ""
+msgstr ""
+"Project-Id-Version: genius\n"
+"POT-Creation-Date: 2009-04-27 14:58+0200\n"
+"PO-Revision-Date: 2009-04-27 16:43+0200\n"
+"Last-Translator: Mario Blättermann <mariobl gnome org>\n"
+"Language-Team: German <gnome-de gnome org>\n"
+"MIME-Version: 1.0\n"
+"Content-Type: text/plain; charset=UTF-8\n"
+"Content-Transfer-Encoding: 8bit\n"
+"X-Poedit-Language: German\n"
+"X-Poedit-Country: GERMANY\n"
+
+#: C/gel-function-list.xml:4(programlisting) C/genius.xml:4(programlisting)
+#, no-wrap
+msgid "help FunctionName\n"
+msgstr "help FunctionName\n"
+
+#: C/gel-function-list.xml:2(para) C/genius.xml:2(para)
+msgid ""
+"To get help on a specific function from the console type: <placeholder-1/>"
+msgstr ""
+"So erhalten Sie Hilfe zu einer bestimmten Konsolenfunktion: <placeholder-1/>"
+
+#. When image changes, this message will be marked fuzzy or untranslated for you.
+#. It doesn't matter what you translate it to: it's not used at all.
+#: C/genius.xml:247(None)
+msgid ""
+"@@image: 'figures/genius_window.png'; md5=e91df69f522ae7c4749ee4a6e617a9ac"
+msgstr ""
+
+#. When image changes, this message will be marked fuzzy or untranslated for you.
+#. It doesn't matter what you translate it to: it's not used at all.
+#: C/genius.xml:251(None)
+msgid ""
+"@@image: 'figures/genius_window.eps'; md5=b2fe72c0dea70343a11a7bbc2225f985"
+msgstr ""
+
+#. When image changes, this message will be marked fuzzy or untranslated for you.
+#. It doesn't matter what you translate it to: it's not used at all.
+#: C/genius.xml:452(None)
+msgid "@@image: 'figures/line_plot.png'; md5=8eade90cba83d3edcbe655adc8f0a5d5"
+msgstr ""
+
+#. When image changes, this message will be marked fuzzy or untranslated for you.
+#. It doesn't matter what you translate it to: it's not used at all.
+#: C/genius.xml:455(None)
+msgid "@@image: 'figures/line_plot.eps'; md5=1977b7181c5d8ecb7d4348e1de79919b"
+msgstr ""
+
+#. When image changes, this message will be marked fuzzy or untranslated for you.
+#. It doesn't matter what you translate it to: it's not used at all.
+#: C/genius.xml:481(None)
+msgid ""
+"@@image: 'figures/line_plot_graph.png'; md5=f2c08c659b6ee694b89ce0c21554cb89"
+msgstr ""
+
+#. When image changes, this message will be marked fuzzy or untranslated for you.
+#. It doesn't matter what you translate it to: it's not used at all.
+#: C/genius.xml:484(None)
+msgid ""
+"@@image: 'figures/line_plot_graph.eps'; md5=201bfa54ba0797171d8910eb946354c1"
+msgstr "translated"
+
+#. When image changes, this message will be marked fuzzy or untranslated for you.
+#. It doesn't matter what you translate it to: it's not used at all.
+#: C/genius.xml:521(None)
+msgid "@@image: 'figures/parametric.png'; md5=23d489a7875555c156cf24647054658f"
+msgstr ""
+
+#. When image changes, this message will be marked fuzzy or untranslated for you.
+#. It doesn't matter what you translate it to: it's not used at all.
+#: C/genius.xml:524(None)
+msgid "@@image: 'figures/parametric.eps'; md5=52274a10d3e58dc8f883fdf3a48d5ad3"
+msgstr ""
+
+#. When image changes, this message will be marked fuzzy or untranslated for you.
+#. It doesn't matter what you translate it to: it's not used at all.
+#: C/genius.xml:548(None)
+msgid ""
+"@@image: 'figures/parametric_graph.png'; md5=fff210ca54d2374c82b20a9ad63dcc09"
+msgstr "translated"
+
+#. When image changes, this message will be marked fuzzy or untranslated for you.
+#. It doesn't matter what you translate it to: it's not used at all.
+#: C/genius.xml:551(None)
+msgid ""
+"@@image: 'figures/parametric_graph.eps'; md5=223659107c58320edd6030193c89524c"
+msgstr ""
+
+#. When image changes, this message will be marked fuzzy or untranslated for you.
+#. It doesn't matter what you translate it to: it's not used at all.
+#: C/genius.xml:653(None)
+msgid ""
+"@@image: 'figures/surface_graph.png'; md5=2d46102c1d4824dc41080769e950b199"
+msgstr "translated"
+
+#. When image changes, this message will be marked fuzzy or untranslated for you.
+#. It doesn't matter what you translate it to: it's not used at all.
+#: C/genius.xml:656(None)
+msgid ""
+"@@image: 'figures/surface_graph.eps'; md5=b505c811ddf51b109722ccc53f176dd2"
+msgstr "translated"
+
+#: C/genius.xml:28(title)
+msgid "Genius Manual"
+msgstr "Genius-Handbuch"
+
+#: C/genius.xml:31(year)
+msgid "1997-2009"
+msgstr "1997-2009"
+
+#: C/genius.xml:32(holder)
+msgid "JiÅ?&iacute; (George) Lebl"
+msgstr "JiÅ?&iacute; (George) Lebl"
+
+#: C/genius.xml:35(year)
+msgid "2004"
+msgstr "2004"
+
+#: C/genius.xml:36(holder)
+msgid "Kai Willadsen"
+msgstr "Kai Willadsen"
+
+#: C/genius.xml:2(para) C/legal.xml:2(para)
+msgid ""
+"Permission is granted to copy, distribute and/or modify this document under "
+"the terms of the GNU Free Documentation License (GFDL), Version 1.1 or any "
+"later version published by the Free Software Foundation with no Invariant "
+"Sections, no Front-Cover Texts, and no Back-Cover Texts. You can find a copy "
+"of the GFDL at this <ulink type=\"help\" url=\"ghelp:fdl\">link</ulink> or in "
+"the file COPYING-DOCS distributed with this manual."
+msgstr ""
+"Das vorliegende Dokument kann gemä� 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 "
+"<ulink type=\"help\" url=\"ghelp:fdl\">Link</ulink> oder in der mit diesem "
+"Handbuch gelieferten Datei COPYING-DOCS."
+
+#: C/genius.xml:12(para) C/legal.xml:12(para)
+msgid ""
+"This manual is part of a collection of GNOME manuals distributed under the "
+"GFDL. If you want to distribute this manual separately from the collection, "
+"you can do so by adding a copy of the license to the manual, as described in "
+"section 6 of the license."
+msgstr ""
+"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."
+
+#: C/genius.xml:19(para) C/legal.xml:19(para)
+msgid ""
+"Many of the names used by companies to distinguish their products and "
+"services are claimed as trademarks. Where those names appear in any GNOME "
+"documentation, and the members of the GNOME Documentation Project are made "
+"aware of those trademarks, then the names are in capital letters or initial "
+"capital letters."
+msgstr ""
+"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 GroÃ?buchstaben oder mit einem "
+"groÃ?en Anfangsbuchstaben geschrieben, wenn das GNOME-Dokumentationsprojekt "
+"auf diese Warenzeichen hingewiesen wird."
+
+#: C/genius.xml:35(para) C/legal.xml:35(para)
+msgid ""
+"DOCUMENT IS PROVIDED ON AN \"AS IS\" BASIS, WITHOUT WARRANTY OF ANY KIND, "
+"EITHER EXPRESSED OR IMPLIED, INCLUDING, WITHOUT LIMITATION, WARRANTIES THAT "
+"THE DOCUMENT OR MODIFIED VERSION OF THE DOCUMENT IS FREE OF DEFECTS "
+"MERCHANTABLE, FIT FOR A PARTICULAR PURPOSE OR NON-INFRINGING. THE ENTIRE RISK "
+"AS TO THE QUALITY, ACCURACY, AND PERFORMANCE OF THE DOCUMENT OR MODIFIED "
+"VERSION OF THE DOCUMENT IS WITH YOU. SHOULD ANY DOCUMENT OR MODIFIED VERSION "
+"PROVE DEFECTIVE IN ANY RESPECT, YOU (NOT THE INITIAL WRITER, AUTHOR OR ANY "
+"CONTRIBUTOR) ASSUME THE COST OF ANY NECESSARY SERVICING, REPAIR OR "
+"CORRECTION. THIS DISCLAIMER OF WARRANTY CONSTITUTES AN ESSENTIAL PART OF THIS "
+"LICENSE. NO USE OF ANY DOCUMENT OR MODIFIED VERSION OF THE DOCUMENT IS "
+"AUTHORIZED HEREUNDER EXCEPT UNDER THIS DISCLAIMER; AND"
+msgstr ""
+"DIESES DOKUMENT WIRD »WIE VORLIEGEND« GELIEFERT, OHNE GARANTIEN IRGENDEINER "
+"ART, SOWOHL AUSDRÃ?CKLICH GENANNTE ALS AUCH ANGEDEUTETE. DIES BEZIEHT SICH "
+"AUCH OHNE EINSCHRÃ?NKUNG AUF GARANTIEN, DASS DIESES DOKUMENT ODER VERÃ?NDERTE "
+"FASSUNGEN DIESES DOKUMENTS FREI VON HANDELSDEFEKTEN, FÃ?R EINEN BESTIMMTEN "
+"ZWECK GEEIGNET IST ODER DASS ES KEINE RECHTE DRITTER VERLETZT. DAS VOLLE "
+"RISIKO WAS QUALITÃ?T, GENAUIGKEIT UND LEISTUNG DES DOKUMENTS ODER VERÃ?NDERTE "
+"FASSUNGEN DES DOKUMENTS LIEGT BEI IHNEN. SOLLTE EIN DOKUMENT ODER EINE "
+"VERÃ?NDERTE FASSUNG DAVON FEHLER IRGENDEINER ART BEINHALTEN, TRAGEN SIE (NICHT "
+"DER URSPRUNGSAUTOR, DER AUTOR ODER EIN MITWIRKENDER) DIE KOSTEN FÃ?R "
+"NOTWENDIGE DIENSTLEISTUNGEN, REPARATUREN ODER FEHLERKORREKTUREN. DIESER "
+"HAFTUNGSAUSSCHLUSS IST EIN ESSENZIELLER TEIL DIESER LIZENZ. DIE VERWENDUNG "
+"EINES DOKUMENTS ODER EINER VERÃ?NDERTEN VERSION DES DOKUMENTS IST NICHT "
+"GESTATTET AUÃ?ER UNTER BEACHTUNG DIESES HAFTUNGSAUSSCHLUSSES UND"
+
+#: C/genius.xml:55(para) C/legal.xml:55(para)
+msgid ""
+"UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, WHETHER IN TORT (INCLUDING "
+"NEGLIGENCE), CONTRACT, OR OTHERWISE, SHALL THE AUTHOR, INITIAL WRITER, ANY "
+"CONTRIBUTOR, OR ANY DISTRIBUTOR OF THE DOCUMENT OR MODIFIED VERSION OF THE "
+"DOCUMENT, OR ANY SUPPLIER OF ANY OF SUCH PARTIES, BE LIABLE TO ANY PERSON FOR "
+"ANY DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES OF ANY "
+"CHARACTER INCLUDING, WITHOUT LIMITATION, DAMAGES FOR LOSS OF GOODWILL, WORK "
+"STOPPAGE, COMPUTER FAILURE OR MALFUNCTION, OR ANY AND ALL OTHER DAMAGES OR "
+"LOSSES ARISING OUT OF OR RELATING TO USE OF THE DOCUMENT AND MODIFIED "
+"VERSIONS OF THE DOCUMENT, EVEN IF SUCH PARTY SHALL HAVE BEEN INFORMED OF THE "
+"POSSIBILITY OF SUCH DAMAGES."
+msgstr ""
+"UNTER KEINEN UMSTÃ?NDEN UND AUF BASIS KEINER RECHTSGRUNDLAGE, EGAL OB DURCH "
+"UNERLAUBTEN HANDLUNGEN (EINSCHLIEÃ?LICH FAHRLÃ?SSIGKEIT), VERTRAG ODER "
+"ANDERWEITIG KANN DER AUTOR, URSPRUNGSAUTOR, EIN MITWIRKENDER ODER EIN "
+"VERTRIEBSPARTNER DIESES DOKUMENTS ODER EINER VERÃ?NDERTEN FASSUNG DES "
+"DOKUMENTS ODER EIN ZULIEFERER EINER DIESER PARTEIEN, HAFTBAR GEMACHT WERDEN "
+"FÃ?R DIREKTE, INDIREKTE, SPEZIELLE, VERSEHENTLICHE ODER FOLGESCHÃ?DEN JEGLICHER "
+"ART, EINSCHLIEÃ?LICH UND OHNE EINSCHRÃ?NKUNGEN SCHÃ?DEN DURCH VERLUST VON "
+"KULANZ, ARBEITSAUSFALL, COMPUTERVERSAGEN ODER COMPUTERFEHLFUNKTIONEN ODER "
+"ALLE ANDEREN SCHÃ?DEN ODER VERLUSTE, DIE SICH AUS ODER IN VERBINDUNG MIT DER "
+"VERWENDUNG DES DOKUMENTS UND VERÃ?NDERTER FASSUNGEN DES DOKUMENTS ERGEBEN, "
+"AUCH WENN DIE OBEN GENANNTEN PARTEIEN Ã?BER DIE MÃ?GLICHKEIT SOLCHER SCHÃ?DEN "
+"INFORMIERT WAREN."
+
+#: C/genius.xml:28(para) C/legal.xml:28(para)
+msgid ""
+"DOCUMENT AND MODIFIED VERSIONS OF THE DOCUMENT ARE PROVIDED UNDER THE TERMS "
+"OF THE GNU FREE DOCUMENTATION LICENSE WITH THE FURTHER UNDERSTANDING THAT: "
+"<placeholder-1/>"
+msgstr ""
+"DAS DOKUMENT UND VERÃ?NDERTE FASSUNGEN DES DOKUMENTS WERDEN UNTER DEN "
+"BEDINGUNGEN DER GNU FREE DOCUMENTATION LICENSE ZUR VERFÃ?GUNG GESTELLT MIT DEM "
+"WEITERGEHENDEN VERSTÃ?NDNIS, DASS: <placeholder-1/>"
+
+#: C/genius.xml:56(firstname)
+msgid "JiÅ?&iacute;"
+msgstr "JiÅ?&iacute;"
+
+#: C/genius.xml:57(surname)
+msgid "Lebl"
+msgstr "Lebl"
+
+#: C/genius.xml:59(orgname)
+msgid "University of Illinois, Urbana-Champaign"
+msgstr "University of Illinois, Urbana-Champaign"
+
+#: C/genius.xml:60(email)
+msgid "jirka 5z com"
+msgstr "jirka 5z com"
+
+#: C/genius.xml:64(firstname)
+msgid "Kai"
+msgstr "Kai"
+
+#: C/genius.xml:65(surname)
+msgid "Willadsen"
+msgstr "Willadsen"
+
+#: C/genius.xml:67(orgname)
+msgid "University of Queensland, Australia"
+msgstr "University of Queensland, Australien"
+
+#: C/genius.xml:68(email)
+msgid "kaiw itee uq edu au"
+msgstr "kaiw itee uq edu au"
+
+#. This is unmaintained quite a bit so screw this it just makes things
+#.       ugly and we don't update the manrevision stuff anyway
+#.     <revhistory>
+#.       <revision>
+#. 		<revnumber>&manrevision;</revnumber>
+#. 		<date>&date;</date>
+#. 		<revdescription>
+#. 	  		<para role="author">Jiri (George) Lebl
+#. 	    	<email>jirka 5z com</email>
+#. 	  		</para>
+#. 		</revdescription>
+#.       </revision>
+#.       <revision>
+#. 		<revnumber>0.1</revnumber>
+#. 		<date>September 2004</date>
+#. 		<revdescription>
+#. 	  		<para role="author">Kai Willadsen
+#. 	    	<email>kaiw itee uq edu au</email>
+#. 	  		</para>
+#. 		</revdescription>
+#.       </revision>
+#.       <revision>
+#. 		<revnumber>Genius Calculator Manual</revnumber>
+#. 		<date>August 2004</date>
+#. 		<revdescription>
+#. 	  		<para role="author">Jiri (George) Lebl
+#. 	    	<email>jirka 5z com</email>
+#. 	  		</para>
+#. 		</revdescription>
+#.       </revision>
+#.     </revhistory>
+#: C/genius.xml:134(releaseinfo)
+msgid "This manual describes version 1.0.6 of Genius."
+msgstr "Dieses Handbuch beschreibt Version 1.0.6 von Genius. "
+
+#: C/genius.xml:137(title)
+msgid "Feedback"
+msgstr "Rückmeldungen"
+
+#: C/genius.xml:138(para)
+msgid ""
+"To report a bug or make a suggestion regarding the <application>Genius "
+"Mathematics Tool</application> application or this manual, follow the "
+"directions in the <ulink url=\"ghelp:gnome-feedback\" type=\"help\">GNOME "
+"Feedback Page</ulink>."
+msgstr ""
+"Um einen Fehler zu melden oder einen Vorschlag zur Anwendung "
+"<application>Genius Mathematikwerkzeug</application> oder zu diesem Handbuch "
+"zu machen, folge Sie den Anweisungen auf der <ulink url=\"ghelp:gnome-feedback"
+"\" type=\"help\">GNOME-Seite für Rückmeldungen</ulink>."
+
+#: C/genius.xml:148(title)
+msgid "Introduction"
+msgstr "Einführung"
+
+#: C/genius.xml:149(para)
+msgid ""
+"The <application>Genius Mathematics Tool</application> application is a "
+"general calculator for use as a desktop calculator, an educational tool in "
+"mathematics, and is useful even for research. The language used in "
+"<application>Genius Mathematics Tool</application> is designed to be &lsquo;"
+"mathematical&rsquo; in the sense that it should be &lsquo;what you mean is "
+"what you get&rsquo;. Of course that is not an entirely attainable goal. "
+"<application>Genius Mathematics Tool</application> features rationals, "
+"arbitrary precision integers and multiple precision floats using the GMP "
+"library. It handles complex numbers using cartesian notation. It has good "
+"vector and matrix manipulation and can handle basic linear algebra. The "
+"programming language allows user defined functions, variables and "
+"modification of parameters."
+msgstr ""
+
+#: C/genius.xml:163(para)
+msgid ""
+"<application>Genius Mathematics Tool</application> comes in two versions. One "
+"version is the graphical GNOME version, which features an IDE style interface "
+"and the ability to plot functions of one or two variables. The command line "
+"version does not require GNOME, but of course does not implement any feature "
+"that requires the graphical interface."
+msgstr ""
+
+#: C/genius.xml:171(para)
+msgid ""
+"This manual describes mostly the graphical version of the calculator, but the "
+"language is of course the same. The command line only version lacks the "
+"graphing capabilities and all other capabilities that require the graphical "
+"user interface."
+msgstr ""
+
+#: C/genius.xml:182(title)
+msgid "Getting Started"
+msgstr "Erste Schritte"
+
+#: C/genius.xml:185(title)
+msgid "To Start <application>Genius Mathematics Tool</application>"
+msgstr "<application>Genius Mathematikwerkzeug starten</application>"
+
+#: C/genius.xml:186(para)
+msgid ""
+"You can start <application><application>Genius Mathematics Tool</"
+"application></application> in the following ways:"
+msgstr ""
+"Sie können <application>Genius Mathematikwerkzeug</application> auf folgende "
+"Arten starten:"
+
+#: C/genius.xml:190(term)
+msgid "<guimenu>Applications</guimenu> menu"
+msgstr "Menü <guimenu>Anwendungen</guimenu>"
+
+#: C/genius.xml:192(para)
+msgid ""
+"Depending on your operating system and version, the menu item for "
+"<application>Genius Mathematics Tool</application> could appear in a number "
+"of different places. It can be in the <guisubmenu>Education</guisubmenu>, "
+"<guisubmenu>Accessories</guisubmenu>, <guisubmenu>Office</guisubmenu>, "
+"<guisubmenu>Science</guisubmenu>, or similar submenu, depending on your "
+"particular setup. The menu item name you are looking for is "
+"<guimenuitem>Genius Math Tool</guimenuitem>. Once you locate this menu item "
+"click on it to start <application>Genius Mathematics Tool</application>."
+msgstr ""
+
+#: C/genius.xml:208(term)
+msgid "<guilabel>Run</guilabel> dialog"
+msgstr "<guilabel>Ausführen</guilabel>-Dialog"
+
+#: C/genius.xml:210(para)
+msgid ""
+"Depending on your system installation the menu item may not be available. If "
+"it is not, you can open the Run dialog and execute <command>gnome-genius</"
+"command>."
+msgstr ""
+
+#: C/genius.xml:218(term)
+msgid "Command line"
+msgstr "Befehlszeile"
+
+#: C/genius.xml:220(para)
+msgid ""
+"To start the GNOME version of <application>Genius Mathematics Tool</"
+"application> execute <command>gnome-genius</command> from the command line."
+msgstr ""
+
+#: C/genius.xml:224(para)
+msgid ""
+"To start the command line only version, execute the following command: "
+"<command>genius</command>. This version does not include the graphical "
+"environment and some functionality such as plotting will not be available."
+msgstr ""
+
+#: C/genius.xml:236(title)
+msgid "When You Start Genius"
+msgstr "Beim Start von <application>Genius</application>"
+
+#: C/genius.xml:237(para)
+msgid ""
+"When you start the GNOME edition of <application>Genius Mathematics Tool</"
+"application>, the window pictured in <xref linkend=\"mainwindow-fig\"/> is "
+"displayed."
+msgstr ""
+"Wenn Sie die GNOME-Ausgabe von <application>Genius Mathematikwerkzeug</"
+"application> starten, wird das in <xref linkend=\"mainwindow-fig\"/> "
+"dargestellte Fenster geöffnet."
+
+#: C/genius.xml:242(title)
+msgid "<application>Genius Mathematics Tool</application> Window"
+msgstr "<application>Genius Mathematikwerkzeug</application>-Fenster"
+
+#: C/genius.xml:0(application)
+msgid "Genius Mathematics Tool"
+msgstr "Genius Mathematikwerkzeug"
+
+#: C/genius.xml:255(guilabel)
+msgid "File"
+msgstr "Datei"
+
+#: C/genius.xml:256(guilabel)
+msgid "Edit"
+msgstr "Bearbeiten"
+
+#: C/genius.xml:256(guilabel)
+msgid "Calculator"
+msgstr ""
+
+#: C/genius.xml:257(guilabel) C/genius.xml:2507(title)
+msgid "Settings"
+msgstr "Einstellungen"
+
+#: C/genius.xml:257(guilabel)
+msgid "Help"
+msgstr "Hilfe"
+
+#: C/genius.xml:254(phrase)
+msgid ""
+"Shows <placeholder-1/> main window. Contains titlebar, menubar, toolbar and "
+"working area. Menubar contains <placeholder-2/>, <placeholder-3/>, "
+"<placeholder-4/>, <placeholder-5/>, and <placeholder-6/> menus."
+msgstr ""
+"Zeigt das Hauptfenster von <placeholder-1/>. Enthält Titelleiste, Menüleiste, "
+"Werkzeugleiste und Arbeitsplatz. Die Menüleiste enthält die Menüs "
+"<placeholder-2/>, <placeholder-3/>, <placeholder-4/>, <placeholder-5/> und "
+"<placeholder-6/>."
+
+#: C/genius.xml:263(para)
+msgid ""
+"The <application>Genius Mathematics Tool</application> window contains the "
+"following elements:"
+msgstr ""
+"Das Fenster von <application>Genius Mathematikwerkzeug</application> enthält "
+"die folgenden Elemente:"
+
+#: C/genius.xml:267(term)
+msgid "Menubar."
+msgstr "Menüleiste."
+
+#: C/genius.xml:269(para)
+msgid ""
+"The menus on the menubar contain all of the commands that you need to work "
+"with files in <application>Genius Mathematics Tool</application>. The "
+"<guilabel>File</guilabel> menu contains items for loading and saving items "
+"and creating new programs. The <guilabel>Load and Run...</guilabel> command "
+"does not open a new window for the program, but just executes the program "
+"directly. It is equivalent to the <command>load</command> command."
+msgstr ""
+
+#: C/genius.xml:274(para)
+msgid ""
+"The <guilabel>Calculator</guilabel> menu controls the calculator engine. It "
+"allows you to run the currently selected program or to interrupt the current "
+"calculation. You can also look at the full expression of the last answer "
+"(useful if the last answer was too large to fit onto the console), or you can "
+"view a listing of the values of all user defined variables. Finally it allows "
+"plotting functions using a user friendly dialog box."
+msgstr ""
+
+#: C/genius.xml:282(para)
+msgid "The other menus have same familiar functions as in other applications."
+msgstr ""
+"Die anderen Menüs beinhalten ähnliche Funktionen wie in anderen Anwendungen."
+
+#: C/genius.xml:288(term)
+msgid "Toolbar."
+msgstr "Werkzeugleiste."
+
+#: C/genius.xml:290(para)
+msgid ""
+"The toolbar contains a subset of the commands that you can access from the "
+"menubar."
+msgstr ""
+"Die Werkzeugleiste enthält eine Auswahl der Befehle, die Sie über die "
+"Menüleiste erreichen."
+
+#: C/genius.xml:294(term)
+msgid "Working area"
+msgstr "Arbeitsplatz"
+
+#: C/genius.xml:296(para)
+msgid ""
+"The working area is the primary method of interacting with the application."
+msgstr ""
+"Der Arbeitsplatz stellt die vorrangige Methode zur Interaktion mit der "
+"Anwendung dar."
+
+#: C/genius.xml:300(para)
+msgid ""
+"The working area initially has just the <guilabel>Console</guilabel> tab "
+"which is the main way of interacting with the calculator. Here you type "
+"expressions and the results are immediately returned after you hit the Enter "
+"key."
+msgstr ""
+
+#: C/genius.xml:306(para)
+msgid ""
+"Alternatively you can write longer programs and those can appear in separate "
+"tabs and can be stored in files for later retrieval."
+msgstr ""
+
+#: C/genius.xml:320(title)
+msgid "Basic Usage"
+msgstr "Grundlagen der Benutzung"
+
+#: C/genius.xml:323(title)
+msgid "Using the Work Area"
+msgstr "Benutzung des Arbeitsplatzes"
+
+#: C/genius.xml:325(para)
+msgid ""
+"Normally you interact with the calculator in the <guilabel>Console</guilabel> "
+"tab of the work area. If you are running the text only version then the "
+"console will be the only thing that is available to you. If you want to use "
+"<application>Genius Mathematics Tool</application> as a calculator only, just "
+"type in your expression here and it willg et evaluated."
+msgstr ""
+
+#: C/genius.xml:333(para)
+msgid ""
+"Type your expression into the <guilabel>Console</guilabel> work area and "
+"press enter and the expression will be evaluated. Expressions are written in "
+"a language called GEL. The most simple GEL expression just looks like "
+"mathematics. For example <screen><prompt>genius&gt; </prompt><userinput>30*70 "
+"+ 67^3.0 + ln(7) * (88.8/100)</userinput>\n"
+"</screen> or <screen><prompt>genius&gt; </prompt><userinput>62734 + 812634 + "
+"77^4 mod 5</userinput>\n"
+"</screen> or <screen><prompt>genius&gt; </prompt><userinput>| sin(37) - e^7 |"
+"</userinput>\n"
+"</screen> or <screen><prompt>genius&gt; </prompt><userinput>sum n=1 to 70 do "
+"1/n</userinput>\n"
+"</screen> (Last is the harmonic sum from 1 to 70)"
+msgstr ""
+
+#: C/genius.xml:351(para)
+msgid ""
+"To get a list of functions and commands, type: <screen><prompt>genius&gt; </"
+"prompt><userinput>help</userinput>\n"
+"</screen> If you wish to get more help on a specific function, type: "
+"<screen><prompt>genius&gt; </prompt><userinput>help FunctionName</userinput>\n"
+"</screen> To view this manual, type: <screen><prompt>genius&gt; </"
+"prompt><userinput>manual</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:362(para)
+msgid ""
+"Suppose you have previously saved some GEL commands as a program to a file "
+"and you now want to execute them. To load this program from the file "
+"<filename>path/to/program.gel</filename>, type <screen><prompt>genius&gt; </"
+"prompt><userinput>load path/to/program.gel</userinput>\n"
+"</screen><application>Genius Mathematics Tool</application> keeps track of "
+"the current directory. To list files in the current directory type "
+"<command>ls</command>, to change directory do <userinput>cd directory</"
+"userinput> as in the unix command shell."
+msgstr ""
+
+#: C/genius.xml:376(title)
+msgid "To Create a New Program"
+msgstr "Erstellen eines neuen Programms"
+
+#: C/genius.xml:377(para)
+msgid ""
+"To start writing a new program, choose <menuchoice><guimenu>File</"
+"guimenu><guimenuitem>New Program</guimenuitem></menuchoice>. A new tab will "
+"appear in the work area. You can write a <link linkend=\"genius-gel\">GEL</"
+"link> program in this work area. Once you have written your program you can "
+"run it by <menuchoice><guimenu>Calculator</guimenu><guimenuitem>Run</"
+"guimenuitem></menuchoice>. This will execute your program and will display "
+"any output on the <guilabel>Console</guilabel> tab. Executing a program is "
+"equivalent of taking the text of the program and typing it into the console. "
+"The only difference is that this input is done independent of the console and "
+"just the output goes onto the console. <menuchoice><guimenu>Calculator</"
+"guimenu><guimenuitem>Run</guimenuitem></menuchoice> will always run the "
+"currently selected program even if you are on the <guilabel>Console</"
+"guilabel> tab. The currently selected program has its tab in bold type. To "
+"select a program, just click on its tab."
+msgstr ""
+
+#: C/genius.xml:393(para)
+msgid ""
+"To save the program you've just written, choose <menuchoice><guimenu>File</"
+"guimenu><guimenuitem>Save As...</guimenuitem></menuchoice>"
+msgstr ""
+"Um das soeben geschriebene Programm zu speichern, wählen Sie "
+"<menuchoice><guimenu>Datei</guimenu><guimenuitem>Speichern unter</"
+"guimenuitem></menuchoice>"
+
+#: C/genius.xml:399(title)
+msgid "To Open and Run a Program"
+msgstr "�ffnen und Ausführen eines Programms"
+
+#: C/genius.xml:400(para)
+msgid ""
+"To open a file, choose <menuchoice><guimenu>File</guimenu><guimenuitem>Open</"
+"guimenuitem></menuchoice>. A new tab containing the file will appear in the "
+"work area. You can use this to edit the file."
+msgstr ""
+"Um eine Datei zu öffnen, wählen Sie <menuchoice><guimenu>Datei</"
+"guimenu><guimenuitem>Ã?ffnen</guimenuitem></menuchoice>. Ein neuer Reiter "
+"erscheint im Arbeitsplatz, der diese Datei enthält. Hier können Sie die Datei "
+"bearbeiten."
+
+#: C/genius.xml:406(para)
+msgid ""
+"To run a program from a file, choose <menuchoice><guimenu>File</"
+"guimenu><guimenuitem>Load and Run...</guimenuitem></menuchoice>. This will "
+"run the program without opening it in a separate tab. This is equivalent to "
+"the <command>load</command> command."
+msgstr ""
+
+#: C/genius.xml:418(title) C/genius.xml:4773(title)
+msgid "Plotting"
+msgstr ""
+
+#: C/genius.xml:420(para)
+msgid ""
+"Plotting support is only available in the graphical GNOME version. All "
+"plotting accessible from the graphical interface is available from the "
+"<guilabel>Create Plot</guilabel> window. You can access this window by either "
+"clicking on the <guilabel>Plot</guilabel> button on the toolbar or selecting "
+"<guilabel>Plot</guilabel> from the <guilabel>Calculator</guilabel> menu. You "
+"can also access the plotting functionality by using the <link linkend="
+"\"genius-gel-function-list-plotting\">plotting functions</link> of the GEL "
+"language. See <xref linkend=\"genius-gel\"/> to find out how to enter "
+"expressions that Genius understands."
+msgstr ""
+
+#: C/genius.xml:433(title)
+msgid "Line Plots"
+msgstr ""
+
+#: C/genius.xml:434(para)
+msgid ""
+"To graph real valued functions of one variable open the <guilabel>Create "
+"Plot</guilabel> window. You can also use the <link linkend=\"gel-function-"
+"LinePlot\"><function>LinePlot</function></link> function on the command line "
+"(see its documentation)."
+msgstr ""
+
+#: C/genius.xml:440(para)
+msgid ""
+"Once you click the <guilabel>Plot</guilabel> button, a window opens up with "
+"some notebooks in it. You want to be in the <guilabel>Function line plot</"
+"guilabel> notebook tab, and inside you want to be on the "
+"<guilabel>Functions / Expressions</guilabel> notebook tab. See <xref linkend="
+"\"lineplot-fig\"/>."
+msgstr ""
+
+#: C/genius.xml:448(title)
+msgid "Create Plot Window"
+msgstr ""
+
+#: C/genius.xml:458(phrase)
+msgid "Shows the line plotting window."
+msgstr ""
+
+#: C/genius.xml:464(para)
+msgid ""
+"Into the text boxes just type in expressions where <userinput>x</userinput> "
+"is the independent variable. You can also just give names of functions such "
+"as <userinput>cos</userinput> rather then having to type <userinput>cos(x)</"
+"userinput>. You can graph up to ten functions. If you make a mistake and "
+"Genius cannot parse the input it will signify this with a warning icon on the "
+"right of the text input box where the error occurred, as well as giving you "
+"an error dialog. You can change the ranges of the dependent and independent "
+"variables in the bottom part of the dialog. Pressing the <guilabel>Plot</"
+"guilabel> button produces the graph shown in <xref linkend=\"lineplot2-fig\"/"
+">."
+msgstr ""
+
+#: C/genius.xml:477(title)
+msgid "Plot Window"
+msgstr ""
+
+#: C/genius.xml:487(phrase)
+msgid "The graph produced."
+msgstr ""
+
+#: C/genius.xml:493(para)
+msgid ""
+"From here you can print out the plot, create encapsulated postscript or a PNG "
+"version of the plot or change the zoom. If the dependent axis was not set "
+"correctly you can have Genius fit it by finding out the extrema of the "
+"graphed functions."
+msgstr ""
+
+#: C/genius.xml:500(para)
+msgid ""
+"For plotting using the command line see the documentation of the <link "
+"linkend=\"gel-function-LinePlot\"><function>LinePlot</function></link> "
+"function."
+msgstr ""
+
+#: C/genius.xml:507(title)
+msgid "Parametric Plots"
+msgstr ""
+
+#: C/genius.xml:508(para)
+msgid ""
+"In the create plot window, you can also choose the <guilabel>Parametric</"
+"guilabel> notebook tab to create two dimensional parametric plots. This way "
+"you can plot a single parametric function. You can either specify the points "
+"as x and y, or giving a single complex number. See <xref linkend=\"paramplot-"
+"fig\"/>."
+msgstr ""
+
+#: C/genius.xml:517(title)
+msgid "Parametric Plot Tab"
+msgstr ""
+
+#: C/genius.xml:527(guilabel)
+msgid "Create Plot"
+msgstr ""
+
+#: C/genius.xml:527(phrase)
+msgid "Parametric plotting tab in the <placeholder-1/> window."
+msgstr ""
+
+#: C/genius.xml:533(para)
+msgid ""
+"An example of a parametric plot is given in <xref linkend=\"paramplot-fig\"/"
+">. Similar operations can be done on such graphs as can be done on the other "
+"line plots. For plotting using the command line see the documentation of the "
+"<link linkend=\"gel-function-LinePlotParametric"
+"\"><function>LinePlotParametric</function></link> or <link linkend=\"gel-"
+"function-LinePlotCParametric\"><function>LinePlotCParametric</function></"
+"link> function."
+msgstr ""
+
+#: C/genius.xml:544(title)
+msgid "Parametric Plot"
+msgstr ""
+
+#: C/genius.xml:554(phrase)
+msgid "Parametric plot produced"
+msgstr ""
+
+#: C/genius.xml:563(title)
+msgid "Slopefield Plots"
+msgstr ""
+
+#: C/genius.xml:564(para)
+msgid ""
+"In the create plot window, you can also choose the <guilabel>Slope field</"
+"guilabel> notebook tab to create a two dimensional slope field plot. Similar "
+"operations can be done on such graphs as can be done on the other line plots. "
+"For plotting using the command line see the documentation of the <link "
+"linkend=\"gel-function-SlopefieldPlot\"><function>SlopefieldPlot</function></"
+"link> function."
+msgstr ""
+
+#: C/genius.xml:573(para)
+msgid ""
+"When a slope field is active, there is an extra <guilabel>Solver</guilabel> "
+"menu available, through which you can bring up the solver dialog. Here you "
+"can have Genius plot specific solutions for the given initial conditions. You "
+"can either specify initial conditions in the dialog, or you can click on the "
+"plot directly to specify the initial point. While the solver dialog is "
+"active, the zooming by clicking and dragging does not work. You have to close "
+"the dialog first if you want to zoom using the mouse."
+msgstr ""
+
+#: C/genius.xml:582(para)
+msgid ""
+"The solver uses the standard Runge-Kutta method. The plots will stay on the "
+"screen until cleared. The solver will stop whenever it reaches the boundary "
+"of the plot window. Zooming does not change the limits or parameters of the "
+"solutions, you will have to clear and redraw them with appropriate "
+"parameters. You can also use the <link linkend=\"gel-function-"
+"SlopefieldDrawSolution\"><function>SlopefieldDrawSolution</function></link> "
+"function to draw solutions from the command line or programs."
+msgstr ""
+
+#: C/genius.xml:595(title)
+msgid "Vectorfield Plots"
+msgstr ""
+
+#: C/genius.xml:596(para)
+msgid ""
+"In the create plot window, you can also choose the <guilabel>Vector field</"
+"guilabel> notebook tab to create a two dimensional vector field plot. Similar "
+"operations can be done on such graphs as can be done on the other line plots. "
+"For plotting using the command line see the documentation of the <link "
+"linkend=\"gel-function-VectorfieldPlot\"><function>VectorfieldPlot</"
+"function></link> function."
+msgstr ""
+
+#: C/genius.xml:605(para)
+msgid ""
+"By default the direction and magnitude of the vector field is shown. To only "
+"show direction and not the magnitude, check the appropriate checkbox to "
+"normalize the arrow lengths."
+msgstr ""
+
+#: C/genius.xml:611(para)
+msgid ""
+"When a vector field is active, there is an extra <guilabel>Solver</guilabel> "
+"menu available, through which you can bring up the solver dialog. Here you "
+"can have Genius plot specific solutions for the given initial conditions. You "
+"can either specify initial conditions in the dialog, or you can click on the "
+"plot directly to specify the initial point. While the solver dialog is "
+"active, the zooming by clicking and dragging does not work. You have to close "
+"the dialog first if you want to zoom using the mouse."
+msgstr ""
+
+#: C/genius.xml:620(para)
+msgid ""
+"The solver uses the standard Runge-Kutta method. The plots will stay on the "
+"screen until cleared. Zooming does not change the limits or parameters of the "
+"solutions, you will have to clear and redraw them with appropriate "
+"parameters. You can also use the <link linkend=\"gel-function-"
+"VectorfieldDrawSolution\"><function>VectorfieldDrawSolution</function></link> "
+"function to draw solutions from the command line or programs."
+msgstr ""
+
+#: C/genius.xml:633(title)
+msgid "Surface Plots"
+msgstr ""
+
+#: C/genius.xml:634(para)
+msgid ""
+"Genius can also plot surfaces. Select the <guilabel>Surface plot</guilabel> "
+"tab in the main notebook of the <guilabel>Create Plot</guilabel> window. Here "
+"you can specify a single expression which should use either <varname>x</"
+"varname> and <varname>y</varname> as real independent variables or "
+"<varname>z</varname> as a complex variable (where <varname>x</varname> is the "
+"real part of <varname>z</varname> and <varname>y</varname> is the imaginary "
+"part). For example to plot the modulus of the cosine function for complex "
+"parameters, you could enter <userinput>|cos(z)|</userinput>. This would be "
+"equivalent to <userinput>|cos(x+1i*y)|</userinput>. See <xref linkend="
+"\"surfaceplot-fig\"/>. For plotting using the command line see the "
+"documentation of the <link linkend=\"gel-function-SurfacePlot"
+"\"><function>SurfacePlot</function></link> function."
+msgstr ""
+
+#: C/genius.xml:649(title)
+msgid "Surface Plot"
+msgstr ""
+
+#: C/genius.xml:659(phrase)
+msgid "Modulus of the complex cosine function."
+msgstr ""
+
+#: C/genius.xml:671(title)
+msgid "GEL Basics"
+msgstr ""
+
+#: C/genius.xml:673(para)
+msgid ""
+"GEL stands for Genius Extension Language. It is the language you use to write "
+"programs in Genius. A program in GEL is simply an expression that evaluates "
+"to a number. <application>Genius Mathematics Tool</application> can therefore "
+"be used as a simple calculator, or as a powerful theoretical research tool. "
+"The syntax is meant to have as shallow of a learning curve as possible, "
+"especially for use as a calculator."
+msgstr ""
+
+#: C/genius.xml:685(title)
+msgid "Values"
+msgstr ""
+
+#: C/genius.xml:687(para)
+msgid ""
+"Values in GEL can be <link linkend=\"genius-gel-values-numbers\">numbers</"
+"link>, <link linkend=\"genius-gel-values-booleans\">Booleans</link> or <link "
+"linkend=\"genius-gel-values-strings\">strings</link>. Values can be used in "
+"calculations, assigned to variables and returned from functions, among other "
+"uses."
+msgstr ""
+
+#: C/genius.xml:692(title)
+msgid "Numbers"
+msgstr ""
+
+#: C/genius.xml:695(programlisting)
+#, no-wrap
+msgid "1234\n"
+msgstr "1234\n"
+
+#: C/genius.xml:698(programlisting)
+#, no-wrap
+msgid ""
+"0x123ABC\n"
+"01234\n"
+msgstr ""
+"0x123ABC\n"
+"01234\n"
+
+#: C/genius.xml:702(programlisting)
+#, no-wrap
+msgid "23\\1234ABCD\n"
+msgstr "23\\1234ABCD\n"
+
+#: C/genius.xml:693(para)
+msgid ""
+"Integers are the first type of number in GEL. Integers are written in the "
+"normal way. <placeholder-1/> Hexidecimal and octal numbers can be written "
+"using C notation. For example: <placeholder-2/> Or you can type numbers in an "
+"arbitrary base using <literal>&lt;base&gt;\\&lt;number&gt;</literal>. Digits "
+"higher than 10 use letters in a similar way to hexadecimal. For example, a "
+"number in base 23 could be written: <placeholder-3/>"
+msgstr ""
+
+#: C/genius.xml:708(programlisting)
+#, no-wrap
+msgid "3/4\n"
+msgstr "3/4\n"
+
+#: C/genius.xml:711(programlisting)
+#, no-wrap
+msgid "1 3/10\n"
+msgstr "1 3/10\n"
+
+#: C/genius.xml:706(para)
+msgid ""
+"The second type of GEL number is rationals. Rationals are simply achieved by "
+"dividing two integers. So one could write: <placeholder-1/> to get three "
+"quarters. Rationals also accept mixed fraction notation. So in order to get "
+"one and three tenths you could write: <placeholder-2/>"
+msgstr ""
+
+#: C/genius.xml:717(programlisting)
+#, no-wrap
+msgid ""
+"1.315\n"
+"7.887e77\n"
+"7.887e-77\n"
+".3\n"
+"0.3\n"
+"77e5\n"
+msgstr ""
+"1.315\n"
+"7.887e77\n"
+"7.887e-77\n"
+".3\n"
+"0.3\n"
+"77e5\n"
+
+#: C/genius.xml:715(para)
+msgid ""
+"The next type if number is floating point. These are entered in a similar "
+"fashion to C notation. You can use <literal>E</literal>, <literal>e</literal> "
+"or <literal>@</literal> as the exponent delimiter. Note that using the "
+"exponent delimiter gives a float even if there is no decimal point in the "
+"number. Examples: <placeholder-1/> When Genius prints a floating point number "
+"it will always append a <computeroutput>.0</computeroutput> even if the "
+"number is whole. This is to indicate that floating point numbers are taken as "
+"imprecise quantities. When a number is written in the scientific notation, it "
+"is always a floating point number and thus Genius does not print the "
+"<computeroutput>.0</computeroutput>."
+msgstr ""
+
+#: C/genius.xml:733(programlisting)
+#, no-wrap
+msgid ""
+"1+2i\n"
+"8.01i\n"
+"77*e^(1.3i)\n"
+msgstr ""
+"1+2i\n"
+"8.01i\n"
+"77*e^(1.3i)\n"
+
+#: C/genius.xml:731(para)
+msgid ""
+"The final type of number in gel is the complex numbers. You can enter a "
+"complex number as a sum of real and imaginary parts. The imaginary part ends "
+"with an <literal>i</literal>. Here are examples of entering complex numbers: "
+"<placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:740(para)
+msgid ""
+"When entering imaginary numbers, a number must be in front of the <literal>i</"
+"literal>. If you use <literal>i</literal> by itself, Genius will interpret "
+"this as referring to the variable <varname>i</varname>. If you need to refer "
+"to <literal>i</literal> by itself, use <literal>1i</literal> instead."
+msgstr ""
+
+#: C/genius.xml:744(para)
+msgid ""
+"In order to use mixed fraction notation with imaginary numbers you must have "
+"the mixed fraction in parentheses. (i.e., <userinput>(1 2/5)i</userinput>)"
+msgstr ""
+
+#: C/genius.xml:753(title)
+msgid "Booleans"
+msgstr ""
+
+#: C/genius.xml:754(para)
+msgid ""
+"Genius also supports native Boolean values. The two Boolean constants are "
+"defined as <constant>true</constant> and <constant>false</constant>; these "
+"identifiers can be used like any other variable. You can also use the "
+"identifiers <constant>True</constant>, <constant>TRUE</constant>, "
+"<constant>False</constant> and <constant>FALSE</constant> as aliases for the "
+"above."
+msgstr ""
+
+#: C/genius.xml:762(para)
+msgid ""
+"At any place where a Boolean expression is expected, you can use a Boolean "
+"value or any expression that produces either a number or a Boolean. If Genius "
+"needs to evaluate a number as a Boolean it will interpret 0 as "
+"<constant>false</constant> and any other number as <constant>true</constant>."
+msgstr ""
+
+#: C/genius.xml:771(programlisting)
+#, no-wrap
+msgid "( (1 + true) - false ) * true\n"
+msgstr "( (1 + true) - false ) * true\n"
+
+#: C/genius.xml:774(programlisting)
+#, no-wrap
+msgid "( (true or true) or not false ) and true\n"
+msgstr ""
+
+#: C/genius.xml:777(programlisting)
+#, no-wrap
+msgid "1 == true\n"
+msgstr "1 == true\n"
+
+#: C/genius.xml:769(para)
+msgid ""
+"In addition, you can do arithmetic with Boolean values. For example: "
+"<placeholder-1/> is the same as: <placeholder-2/> Only addition, subtraction "
+"and multiplication are supported. If you mix numbers with Booleans in an "
+"expression then the numbers are converted to Booleans as described above. "
+"This means that, for example: <placeholder-3/> always evaluates to "
+"<constant>true</constant> since 1 will be converted to <constant>true</"
+"constant> before being compared to <constant>true</constant>."
+msgstr ""
+
+#: C/genius.xml:785(title)
+msgid "Strings"
+msgstr "Strings"
+
+#: C/genius.xml:788(programlisting)
+#, no-wrap
+msgid "a=2+3;\"The result is: \"+a\n"
+msgstr ""
+
+#: C/genius.xml:791(programlisting)
+#, no-wrap
+msgid "The result is: 5\n"
+msgstr ""
+
+#: C/genius.xml:794(programlisting)
+#, no-wrap
+msgid "\"Slash: \\\\ Quotes: \\\" Tabs: \\t1\\t2\\t3\"\n"
+msgstr ""
+
+#: C/genius.xml:797(programlisting)
+#, no-wrap
+msgid "Slash: \\ Quotes: \" Tabs: \t1\t2\t3\n"
+msgstr ""
+
+#: C/genius.xml:786(para)
+msgid ""
+"Like numbers and Booleans, strings in GEL can be stored as values inside "
+"variables and passed to functions. You can also concatenate a string with "
+"another value using the plus operator. For example: <placeholder-1/> will "
+"create the string: <placeholder-2/> You can also use C-like escape sequences "
+"such as <literal>\\n</literal>,<literal>\\t</literal>,<literal>\\b</literal>,"
+"<literal>\\a</literal> and <literal>\\r</literal>. To get a <literal>\\</"
+"literal> or <literal>\"</literal> into the string you can quote it with a "
+"<literal>\\</literal>. For example: <placeholder-3/> will make a string: "
+"<placeholder-4/>"
+msgstr ""
+
+#: C/genius.xml:802(programlisting)
+#, no-wrap
+msgid "string(22)\n"
+msgstr "string(22)\n"
+
+#: C/genius.xml:805(programlisting)
+#, no-wrap
+msgid "\"22\"\n"
+msgstr "\"22\"\n"
+
+#: C/genius.xml:800(para)
+msgid ""
+"In addition, you can use the library function <function>string</function> to "
+"convert anything to a string. For example: <placeholder-1/> will return "
+"<placeholder-2/> Strings can also be compared with <literal>==</literal> "
+"(equal), <literal>!=</literal> (not equal) and <literal>&lt;=&gt;</literal> "
+"(comparison) operators"
+msgstr ""
+
+#: C/genius.xml:813(title)
+msgid "Null"
+msgstr "Null"
+
+#: C/genius.xml:814(para)
+msgid ""
+"There is a special value called <constant>null</constant>. No operations can "
+"be performed on it, and nothing is printed when it is returned. Therefore, "
+"<constant>null</constant> is useful when you do not want output from an "
+"expression. The value <constant>null</constant> can be obtained as an "
+"expression when you type <literal>.</literal>, the contant <constant>null</"
+"constant> or nothing. By nothing we mean that if you end an expression with a "
+"separator <literal>;</literal>, it is equivalent to ending it with a "
+"separator followed by a <constant>null</constant>."
+msgstr ""
+
+#: C/genius.xml:827(programlisting)
+#, no-wrap
+msgid ""
+"x=5;.\n"
+"x=5;\n"
+msgstr ""
+"x=5;.\n"
+"x=5;\n"
+
+#: C/genius.xml:825(para) C/genius.xml:1889(para)
+msgid "Example: <placeholder-1/>"
+msgstr "Beispiel: <placeholder-1/>"
+
+#: C/genius.xml:831(para)
+msgid ""
+"Some functions return <constant>null</constant> when no value can be returned "
+"or an error happened. Also <constant>null</constant> is used as an empty "
+"vector or matrix, or an empty reference."
+msgstr ""
+
+#: C/genius.xml:841(title)
+msgid "Using Variables"
+msgstr "Verwendung von Variablen"
+
+#: C/genius.xml:845(programlisting)
+#, no-wrap
+msgid "VariableName\n"
+msgstr "VariableName\n"
+
+#: C/genius.xml:843(para)
+msgid ""
+"Syntax: <placeholder-1/> Example: <screen><prompt>genius&gt; </"
+"prompt><userinput>e</userinput>\n"
+"= 2.71828182846\n"
+"</screen>"
+msgstr ""
+"Syntax: <placeholder-1/> Beispiel: <screen><prompt>genius&gt; </"
+"prompt><userinput>e</userinput>\n"
+"= 2.71828182846\n"
+"</screen>"
+
+#: C/genius.xml:853(para)
+msgid ""
+"To evaluate a variable by itself, just enter the name of the variable. This "
+"will return the value of the variable. You can use a variable anywhere you "
+"would normally use a number or string. In addition, variables are necessary "
+"when defining functions that take arguments (see <xref linkend=\"genius-gel-"
+"functions-defining\"/>)."
+msgstr ""
+
+#: C/genius.xml:858(title) C/genius.xml:944(title)
+msgid "Using Tab completion"
+msgstr "Vervollständigung mit der Tabulatortaste"
+
+#: C/genius.xml:859(para)
+msgid ""
+"You can use Tab completion to get Genius to complete variable names for you. "
+"Try typing the first few letters of the name and pressing <userinput>Tab</"
+"userinput>."
+msgstr ""
+
+#: C/genius.xml:865(title)
+msgid "Variable names are case sensitive"
+msgstr ""
+
+#: C/genius.xml:866(para)
+msgid ""
+"The names of variables are case sensitive. That means that variables named "
+"<varname>hello</varname>, <varname>HELLO</varname> and <varname>Hello</"
+"varname> are all different variables."
+msgstr ""
+
+#: C/genius.xml:873(title)
+msgid "Setting Variables"
+msgstr "Setzen von Variablen"
+
+#: C/genius.xml:880(programlisting)
+#, no-wrap
+msgid ""
+"x = 3\n"
+"x := 3\n"
+msgstr ""
+"x = 3\n"
+"x := 3\n"
+
+#: C/genius.xml:874(para) C/genius.xml:1005(para)
+msgid "Syntax: <placeholder-1/> Example: <placeholder-2/>"
+msgstr "Syntax: <placeholder-1/> Beispiel: <placeholder-2/>"
+
+#: C/genius.xml:887(programlisting)
+#, no-wrap
+msgid "a = b = 5\n"
+msgstr "a = b = 5\n"
+
+#: C/genius.xml:885(para)
+msgid ""
+"To assign to a variable, use the <literal>=</literal> or <literal>:=</"
+"literal> operators. These operators set the value of the variable and return "
+"the number you set, so you can do things like <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:891(para)
+msgid ""
+"The <literal>=</literal> and <literal>:=</literal> operators can both be used "
+"to set variables. The difference between them is that the <literal>:=</"
+"literal> operator always acts as an assignment operator, whereas the "
+"<literal>=</literal> operator may be interpreted as testing for equality when "
+"used in a context where a Boolean expression is expected."
+msgstr ""
+
+#: C/genius.xml:895(para)
+msgid ""
+"For issues regarding the scope of variables, see <xref linkend=\"genius-gel-"
+"variables-global\"/>."
+msgstr ""
+
+#: C/genius.xml:902(title)
+msgid "Built-in Variables"
+msgstr "Eingebaute Variablen"
+
+#: C/genius.xml:903(para)
+msgid ""
+"GEL has a number of built-in &lsquo;variables&rsquo;, such as <varname>e</"
+"varname>, <varname>pi</varname> or <varname>GoldenRatio</varname>. These are "
+"widely used constants with a preset value, and they cannot be assigned new "
+"values. There are a number of other built-in variables. See <xref linkend="
+"\"genius-gel-function-list-constants\"/> for a full list."
+msgstr ""
+
+#: C/genius.xml:914(title)
+msgid "Previous Result Variable"
+msgstr ""
+
+#: C/genius.xml:917(programlisting)
+#, no-wrap
+msgid "Ans+389\n"
+msgstr "Ans+389\n"
+
+#: C/genius.xml:915(para)
+msgid ""
+"The <varname>Ans</varname> and <varname>ans</varname> variables can be used "
+"to get the result of the last expression. For example, if you had performed "
+"some calculation, to add 389 to the result you could do: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:924(title)
+msgid "Using Functions"
+msgstr "Verwendung von Funktionen"
+
+#: C/genius.xml:928(programlisting)
+#, no-wrap
+msgid "FunctionName(argument1, argument2, ...)\n"
+msgstr "FunctionName(argument1, argument2, ...)\n"
+
+#: C/genius.xml:931(programlisting)
+#, no-wrap
+msgid ""
+"Factorial(5)\n"
+"cos(2*pi)\n"
+"gcd(921,317)\n"
+msgstr ""
+"Factorial(5)\n"
+"cos(2*pi)\n"
+"gcd(921,317)\n"
+
+#: C/genius.xml:926(para)
+msgid ""
+"Syntax: <placeholder-1/> Example: <placeholder-2/> To evaluate a function, "
+"enter the name of the function, followed by the arguments (if any) to the "
+"function in parentheses. This will return the result of applying the function "
+"to its arguments. The number of arguments to the function is, of course, "
+"different for each function."
+msgstr ""
+
+#: C/genius.xml:939(para)
+msgid ""
+"There are many built-in functions, such as <function>sin</function>, "
+"<function>cos</function> and <function>tan</function>. You can use the "
+"<function>help</function> built-in function to get a list of available "
+"functions, or see <xref linkend=\"genius-gel-function-list\"/> for a full "
+"listing."
+msgstr ""
+
+#: C/genius.xml:945(para)
+msgid ""
+"You can use Tab completion to get Genius to complete function names for you. "
+"Try typing the first few letters of the name and pressing <userinput>Tab</"
+"userinput>."
+msgstr ""
+
+#: C/genius.xml:951(title)
+msgid "Function names are case sensitive"
+msgstr ""
+
+#: C/genius.xml:952(para)
+msgid ""
+"The names of functions are case sensitive. That means that functions named "
+"<function>dosomething</function>, <function>DOSOMETHING</function> and "
+"<function>DoSomething</function> are all different functions."
+msgstr ""
+
+#: C/genius.xml:959(title)
+msgid "Defining Functions"
+msgstr "Definieren von Funktionen"
+
+#: C/genius.xml:960(para)
+msgid ""
+"Syntax: <placeholder-1/> The <literal>`</literal> is the backquote character, "
+"and signifies an anonymous function. By setting it to a variable name you "
+"effectively define a function."
+msgstr ""
+
+#: C/genius.xml:971(programlisting)
+#, no-wrap
+msgid "function addup(a,b,c) = a+b+c\n"
+msgstr "function addup(a,b,c) = a+b+c\n"
+
+#: C/genius.xml:968(para)
+msgid ""
+"A function takes zero or more comma separated arguments, and returns the "
+"result of the function body. Defining your own functions is primarily a "
+"matter of convenience; one possible use is to have sets of functions defined "
+"in GEL files which Genius can load in order to make available. Example: "
+"<placeholder-1/> then <userinput>addup(1,4,9)</userinput> yields 14"
+msgstr ""
+
+#: C/genius.xml:978(title)
+msgid "Variable Argument Lists"
+msgstr ""
+
+#: C/genius.xml:981(programlisting)
+#, no-wrap
+msgid "function f(a,b...) = b\n"
+msgstr "function f(a,b...) = b\n"
+
+#: C/genius.xml:979(para)
+msgid ""
+"If you include <literal>...</literal> after the last argument name in the "
+"function declaration, then Genius will allow any number of arguments to be "
+"passed in place of that argument. If no arguments were passed then that "
+"argument will be set to <constant>null</constant>. Otherwise, it will be a "
+"horizontal vector containing all the arguments. For example: <placeholder-1/> "
+"Then <userinput>f(1,2,3)</userinput> yields <computeroutput>[2,3]</"
+"computeroutput>, while <userinput>f(1)</userinput> yields a <constant>null</"
+"constant>."
+msgstr ""
+
+#: C/genius.xml:989(title)
+msgid "Passing Functions to Functions"
+msgstr ""
+
+#: C/genius.xml:991(para)
+msgid ""
+"In Genius, it is possible to pass a function as an argument to another "
+"function. This can be done using either &lsquo;function nodes&rsquo; or "
+"anonymous functions."
+msgstr ""
+
+#: C/genius.xml:998(programlisting)
+#, no-wrap
+msgid ""
+"function f(a,b) = a(b)+1;\n"
+"function b(x) = x*x;\n"
+"f(b,2)\n"
+msgstr ""
+"function f(a,b) = a(b)+1;\n"
+"function b(x) = x*x;\n"
+"f(b,2)\n"
+
+#: C/genius.xml:995(para)
+msgid ""
+"If you do not enter the parentheses after a function name, instead of being "
+"evaluated, the function will instead be returned as a &lsquo;function "
+"node&rsquo;. The function node can then be passed to another function. "
+"Example: <placeholder-1/> If you want to pass a function that doesn&rsquo;t "
+"exist yet, you can use an anonymous function (see <xref linkend=\"genius-gel-"
+"functions-defining\"/>)."
+msgstr ""
+
+#: C/genius.xml:1011(programlisting)
+#, no-wrap
+msgid ""
+"function f(a,b) = a(b)+1;\n"
+"f(`(x) = x*x,2)\n"
+msgstr ""
+"function f(a,b) = a(b)+1;\n"
+"f(`(x) = x*x,2)\n"
+
+#: C/genius.xml:1019(title)
+msgid "Operations on Functions"
+msgstr ""
+
+#: C/genius.xml:1022(programlisting)
+#, no-wrap
+msgid "exp(sin*cos+4)\n"
+msgstr "exp(sin*cos+4)\n"
+
+#: C/genius.xml:1025(programlisting)
+#, no-wrap
+msgid "exp(sin(x)*cos(x)+4)\n"
+msgstr "exp(sin(x)*cos(x)+4)\n"
+
+#: C/genius.xml:1028(programlisting)
+#, no-wrap
+msgid "f = exp(sin*cos+4)\n"
+msgstr "f = exp(sin*cos+4)\n"
+
+#: C/genius.xml:1031(programlisting)
+#, no-wrap
+msgid "LinePlot(sin^2)\n"
+msgstr "LinePlot(sin^2)\n"
+
+#: C/genius.xml:1020(para)
+msgid ""
+"Some functions allow arithmetic operations, and some single argument "
+"functions such as <function>exp</function> or <function>ln</function>, to "
+"operate on the function. For example, <placeholder-1/> will return a function "
+"that does <placeholder-2/> This can be useful when quickly defining "
+"functions. For example to create a function to perform the above operation, "
+"you can just type: <placeholder-3/> This can also be used in plotting. For "
+"example, to plot sin squared you can enter: <placeholder-4/>"
+msgstr ""
+
+#: C/genius.xml:1036(para)
+msgid ""
+"Not all functions can be used in this way. In addition, when you use a binary "
+"operation the functions must take the same arguments."
+msgstr ""
+
+#: C/genius.xml:1046(title)
+msgid "Absolute Value / Modulus"
+msgstr ""
+
+#: C/genius.xml:1050(programlisting)
+#, no-wrap
+msgid "|a-b|"
+msgstr "|a-b|"
+
+#: C/genius.xml:1047(para)
+msgid ""
+"You can make an absolute value of something by putting the <literal>|</"
+"literal>'s around it. For example: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:1052(para)
+msgid ""
+"In case the expression is a complex number the result will be the modulus "
+"(distance from the origin). For example: <userinput>|3 * e^(1i*pi)|</"
+"userinput> returns 3."
+msgstr ""
+
+#: C/genius.xml:1061(title)
+msgid "Separator"
+msgstr ""
+
+#: C/genius.xml:1067(programlisting)
+#, no-wrap
+msgid "3 ; 5\n"
+msgstr "3 ; 5\n"
+
+#: C/genius.xml:1062(para)
+msgid ""
+"In GEL if you want to type more than one command you have to use the "
+"<literal>;</literal> operator, which is a way to separate expressions, such a "
+"combined expression will return whatever is the result of the last one, so "
+"suppose you type the following: <placeholder-1/> This expression will yield 5."
+msgstr ""
+
+#: C/genius.xml:1071(para)
+msgid ""
+"This will require some parenthesizing to make it unambiguous sometimes, "
+"especially if the <literal>;</literal> is not the top most primitive. This "
+"slightly differs from other programming languages where the <literal>;</"
+"literal> is a terminator of statements, whereas in GEL it&rsquo;s actually a "
+"binary operator. If you are familiar with pascal this should be second "
+"nature. However genius can let you pretend it is a terminator somewhat, if a "
+"<literal>;</literal> is found at the end of a parenthesis or a block, genius "
+"will itself append a null node to it as if you would have written <userinput>;"
+"null</userinput>. This is usefull in case you do not want to return a value "
+"from say a loop, or if you handle the return differently. Note that it will "
+"slightly slow down the code if it is executed too often as there is one more "
+"operator involved."
+msgstr ""
+
+#: C/genius.xml:1087(title)
+msgid "Modular Evaluation"
+msgstr ""
+
+#: C/genius.xml:1092(programlisting)
+#, no-wrap
+msgid "2^(5!) * 3^(6!) mod 5"
+msgstr "2^(5!) * 3^(6!) mod 5"
+
+#: C/genius.xml:1096(programlisting)
+#, no-wrap
+msgid ""
+"10^-1 mod 101\n"
+"1/10 mod 101"
+msgstr ""
+"10^-1 mod 101\n"
+"1/10 mod 101"
+
+#: C/genius.xml:1101(programlisting)
+#, no-wrap
+msgid ""
+"A = [1,2;3,4]\n"
+"B = A^-1 mod 5\n"
+"A*B mod 5"
+msgstr ""
+"A = [1,2;3,4]\n"
+"B = A^-1 mod 5\n"
+"A*B mod 5"
+
+#: C/genius.xml:1088(para)
+msgid ""
+"Sometimes when working with large numbers, it might be faster if results are "
+"modded after each calculation. To use it you just add \"mod &lt;integer&gt;\" "
+"after the expression. Example: <placeholder-1/> You can calculate the "
+"inverses of numbers mod some integer by just using rational numbers (of "
+"course the inverse has to exist). Examples: <placeholder-2/> You can also do "
+"modular evaluation with matrices including taking inverses, powers and "
+"dividing. Example: <placeholder-3/> This should yield the identity matrix as "
+"B will be the inverse of A mod 5."
+msgstr ""
+
+#: C/genius.xml:1113(programlisting)
+#, no-wrap
+msgid ""
+"genius&gt; sqrt(4) mod 7\n"
+"=\n"
+"[2, 5]\n"
+"genius&gt; 2*2 mod 7\n"
+"= 4"
+msgstr ""
+"genius&gt; sqrt(4) mod 7\n"
+"=\n"
+"[2, 5]\n"
+"genius&gt; 2*2 mod 7\n"
+"= 4"
+
+#: C/genius.xml:1106(para)
+msgid ""
+"Some functions such as <link linkend=\"gel-function-sqrt\"><function>sqrt</"
+"function></link> or <link linkend=\"gel-function-log\"><function>log</"
+"function></link> work in a different way when in modulo mode. These will then "
+"work like their discrete versions working within the ring of integers you "
+"selected. For example: <placeholder-1/><function>sqrt</function> will "
+"actually return all the possible square roots."
+msgstr ""
+
+#: C/genius.xml:1124(title)
+msgid "List of GEL Operators"
+msgstr ""
+
+#: C/genius.xml:1126(para)
+msgid ""
+"As everything in gel is really just an expression, it is really just all "
+"connected together with operators. Here is a list of the operators in GEL."
+msgstr ""
+
+#: C/genius.xml:1134(synopsis)
+#, no-wrap
+msgid "a;b"
+msgstr "a;b"
+
+#: C/genius.xml:1136(para)
+msgid ""
+"The separator, just evaluates both <varname>a</varname> and <varname>b</"
+"varname>, but returns only the result of <varname>b</varname>."
+msgstr ""
+
+#: C/genius.xml:1148(synopsis)
+#, no-wrap
+msgid "a=b"
+msgstr "a=b"
+
+#: C/genius.xml:1150(para)
+msgid ""
+"The assignment operator. This assigns <varname>b</varname> to <varname>a</"
+"varname> (<varname>a</varname> must be a valid <link linkend=\"genius-gel-"
+"lvalues\">lvalue</link>) (note however that this operator may be translated "
+"to <literal>==</literal> if used in a place where boolean expression is "
+"expected)"
+msgstr ""
+
+#: C/genius.xml:1162(synopsis)
+#, no-wrap
+msgid "a:=b"
+msgstr "a:=b"
+
+#: C/genius.xml:1164(para)
+msgid ""
+"The assignment operator. Assigns <varname>b</varname> to <varname>a</varname> "
+"(<varname>a</varname> must be a valid <link linkend=\"genius-gel-lvalues"
+"\">lvalue</link>). This is different from <literal>=</literal> because it "
+"never gets translated to a <literal>==</literal>."
+msgstr ""
+
+#: C/genius.xml:1175(synopsis)
+#, no-wrap
+msgid "|a|"
+msgstr "|a|"
+
+#: C/genius.xml:1177(para)
+msgid "Absolute value or modulus (if <varname>a</varname> is a complex number)."
+msgstr ""
+
+#: C/genius.xml:1181(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/AbsoluteValue.html\";>Mathworld</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1190(synopsis)
+#, no-wrap
+msgid "a^b"
+msgstr "a^b"
+
+#: C/genius.xml:1192(para)
+msgid ""
+"Exponentiation, raises <varname>a</varname> to the <varname>b</varname>th "
+"power."
+msgstr ""
+
+#: C/genius.xml:1200(synopsis)
+#, no-wrap
+msgid "a.^b"
+msgstr "a.^b"
+
+#: C/genius.xml:1202(para)
+msgid ""
+"Element by element exponentiation. Raise each element of a matrix <varname>a</"
+"varname> to the <varname>b</varname>th power. Or if <varname>b</varname> is a "
+"matrix of the same size as <varname>a</varname>, then do the operation "
+"element by element. If <varname>a</varname> is a number and <varname>b</"
+"varname> is a matrix then it creates matrix of the same size as <varname>b</"
+"varname> with <varname>a</varname> raised to all the different powers in "
+"<varname>b</varname>."
+msgstr ""
+
+#: C/genius.xml:1217(synopsis)
+#, no-wrap
+msgid "a+b"
+msgstr "a+b"
+
+#: C/genius.xml:1219(para)
+msgid ""
+"Addition. Adds two numbers, matrices, functions or strings. If you add a "
+"string to anything the result will just be a string."
+msgstr ""
+
+#: C/genius.xml:1228(synopsis)
+#, no-wrap
+msgid "a-b"
+msgstr "a-b"
+
+#: C/genius.xml:1230(para)
+msgid "Subtraction. Subtract two numbers, matrices or functions."
+msgstr ""
+
+#: C/genius.xml:1238(synopsis)
+#, no-wrap
+msgid "a*b"
+msgstr "a*b"
+
+#: C/genius.xml:1240(para)
+msgid "Multiplication. This is the normal matrix multiplication."
+msgstr ""
+
+#: C/genius.xml:1248(synopsis)
+#, no-wrap
+msgid "a.*b"
+msgstr "a.*b"
+
+#: C/genius.xml:1250(para)
+msgid ""
+"Element by element multiplication if <varname>a</varname> and <varname>b</"
+"varname> are matrices."
+msgstr ""
+
+#: C/genius.xml:1259(synopsis)
+#, no-wrap
+msgid "a/b"
+msgstr "a/b"
+
+#: C/genius.xml:1261(para)
+msgid "Division."
+msgstr "Division."
+
+#: C/genius.xml:1269(synopsis)
+#, no-wrap
+msgid "a./b"
+msgstr "a./b"
+
+#: C/genius.xml:1271(para)
+msgid "Element by element division."
+msgstr ""
+
+#: C/genius.xml:1279(synopsis)
+#, no-wrap
+msgid "a\\b"
+msgstr "a\\b"
+
+#: C/genius.xml:1281(para)
+msgid "Back division. That is this is the same as <userinput>b/a</userinput>."
+msgstr ""
+
+#: C/genius.xml:1289(synopsis)
+#, no-wrap
+msgid "a.\\b"
+msgstr "a.\\b"
+
+#: C/genius.xml:1291(para)
+msgid "Element by element back division."
+msgstr ""
+
+#: C/genius.xml:1299(synopsis)
+#, no-wrap
+msgid "a%b"
+msgstr "a%b"
+
+#: C/genius.xml:1301(para)
+msgid ""
+"The mod operator. This does not turn on the <link linkend=\"genius-gel-"
+"modular-evaluation\">modular mode</link>, but just returns the remainder of "
+"<userinput>a/b</userinput>."
+msgstr ""
+
+#: C/genius.xml:1311(synopsis)
+#, no-wrap
+msgid "a.%b"
+msgstr "a.%b"
+
+#: C/genius.xml:1313(para)
+msgid ""
+"Element by element the mod operator. Returns the remaineder after element by "
+"element <userinput>a./b</userinput>."
+msgstr ""
+
+#: C/genius.xml:1322(synopsis)
+#, no-wrap
+msgid "a mod b"
+msgstr "a mod b"
+
+#: C/genius.xml:1324(para)
+msgid ""
+"Modular evaluation operator. The expression <varname>a</varname> is evaluated "
+"modulo <varname>b</varname>. See <xref linkend=\"genius-gel-modular-evaluation"
+"\"/>. Some functions and operators behave differently modulo an integer."
+msgstr ""
+
+#: C/genius.xml:1335(synopsis)
+#, no-wrap
+msgid "a!"
+msgstr "a!"
+
+#: C/genius.xml:1337(para)
+msgid ""
+"Factorial operator. This is like <userinput>1*...*(n-2)*(n-1)*n</userinput>."
+msgstr ""
+
+#: C/genius.xml:1346(synopsis)
+#, no-wrap
+msgid "a!!"
+msgstr "a!!"
+
+#: C/genius.xml:1348(para)
+msgid ""
+"Double factorial operator. This is like <userinput>1*...*(n-4)*(n-2)*n</"
+"userinput>."
+msgstr ""
+
+#: C/genius.xml:1357(synopsis)
+#, no-wrap
+msgid "a==b"
+msgstr "a==b"
+
+#: C/genius.xml:1359(para)
+msgid ""
+"Equality operator (returns <constant>true</constant> or <constant>false</"
+"constant>)."
+msgstr ""
+
+#: C/genius.xml:1368(synopsis)
+#, no-wrap
+msgid "a!=b"
+msgstr "a!=b"
+
+#: C/genius.xml:1370(para)
+msgid ""
+"Inequality operator, returns <constant>true</constant> if <varname>a</"
+"varname> does not equal <varname>b</varname> else returns <constant>false</"
+"constant>."
+msgstr ""
+
+#: C/genius.xml:1380(synopsis)
+#, no-wrap
+msgid "a&lt;&gt;b"
+msgstr "a&lt;&gt;b"
+
+#: C/genius.xml:1382(para)
+msgid ""
+"Alternative inequality operator, returns <constant>true</constant> if "
+"<varname>a</varname> does not equal <varname>b</varname> else returns "
+"<constant>false</constant>."
+msgstr ""
+
+#: C/genius.xml:1392(synopsis)
+#, no-wrap
+msgid "a&lt;=b"
+msgstr "a&lt;=b"
+
+#: C/genius.xml:1394(para)
+msgid ""
+"Less than or equal operator, returns <constant>true</constant> if <varname>a</"
+"varname> is less than or equal to <varname>b</varname> else returns "
+"<constant>false</constant>."
+msgstr ""
+
+#: C/genius.xml:1405(synopsis)
+#, no-wrap
+msgid "a&gt;=b"
+msgstr "a&gt;=b"
+
+#: C/genius.xml:1407(para)
+msgid ""
+"Greater than or equal operator, returns <constant>true</constant> if "
+"<varname>a</varname> is greater than or equal to <varname>b</varname> else "
+"returns <constant>false</constant>."
+msgstr ""
+
+#: C/genius.xml:1418(synopsis)
+#, no-wrap
+msgid "a&lt;=&gt;b"
+msgstr "a&lt;=&gt;b"
+
+#: C/genius.xml:1420(para)
+msgid ""
+"Comparison operator. If <varname>a</varname> is equal to <varname>b</varname> "
+"it returns 0, if <varname>a</varname> is less than <varname>b</varname> it "
+"returns -1 and if <varname>a</varname> is greater than <varname>b</varname> "
+"it returns 1."
+msgstr ""
+
+#: C/genius.xml:1432(synopsis)
+#, no-wrap
+msgid "a and b"
+msgstr "a and b"
+
+#: C/genius.xml:1434(para)
+msgid "Logical and."
+msgstr "Logisches UND."
+
+#: C/genius.xml:1442(synopsis)
+#, no-wrap
+msgid "a or b"
+msgstr "a or b"
+
+#: C/genius.xml:1444(para)
+msgid "Logical or."
+msgstr "Logisches ODER."
+
+#: C/genius.xml:1452(synopsis)
+#, no-wrap
+msgid "a xor b"
+msgstr "a xor b"
+
+#: C/genius.xml:1454(para)
+msgid "Logical xor."
+msgstr ""
+
+#: C/genius.xml:1462(synopsis)
+#, no-wrap
+msgid "not a"
+msgstr "not a"
+
+#: C/genius.xml:1464(para)
+msgid "Logical not."
+msgstr ""
+
+#: C/genius.xml:1472(synopsis)
+#, no-wrap
+msgid "-a"
+msgstr "-a"
+
+#: C/genius.xml:1474(para)
+msgid "Negation operator."
+msgstr ""
+
+#: C/genius.xml:1482(synopsis)
+#, no-wrap
+msgid "&amp;a"
+msgstr "&amp;a"
+
+#: C/genius.xml:1484(para)
+msgid ""
+"Variable referencing (to pass a reference to something). See <xref linkend="
+"\"genius-gel-references\"/>."
+msgstr ""
+
+#: C/genius.xml:1493(synopsis) C/genius.xml:1962(userinput)
+#, no-wrap
+msgid "*a"
+msgstr "*a"
+
+#: C/genius.xml:1495(para)
+msgid ""
+"Variable dereferencing (to access a referenced varible). See <xref linkend="
+"\"genius-gel-references\"/>."
+msgstr ""
+
+#: C/genius.xml:1504(synopsis)
+#, no-wrap
+msgid "a'"
+msgstr "a'"
+
+#: C/genius.xml:1506(para)
+msgid "Matrix conjugate transpose."
+msgstr ""
+
+#: C/genius.xml:1514(synopsis)
+#, no-wrap
+msgid "a.'"
+msgstr "a.'"
+
+#: C/genius.xml:1516(para)
+msgid "Matrix transpose, does not conjugate the entries."
+msgstr ""
+
+#: C/genius.xml:1524(synopsis)
+#, no-wrap
+msgid "a@(b,c)"
+msgstr "a@(b,c)"
+
+#: C/genius.xml:1526(para)
+msgid ""
+"Get element of a matrix in row <varname>b</varname> and column <varname>c</"
+"varname>. If <varname>b</varname>, <varname>c</varname> are vectors, then "
+"this gets the corresponding rows columns or submatrices."
+msgstr ""
+
+#: C/genius.xml:1537(synopsis)
+#, no-wrap
+msgid "a@(b,)"
+msgstr "a@(b,)"
+
+#: C/genius.xml:1539(para)
+msgid "Get row of a matrix (or rows if <varname>b</varname> is a vector)."
+msgstr ""
+
+#: C/genius.xml:1547(synopsis)
+#, no-wrap
+msgid "a@(b,:)"
+msgstr "a@(b,:)"
+
+#: C/genius.xml:1549(para) C/genius.xml:1570(para)
+msgid "Same as above."
+msgstr "Gleiches wie oben."
+
+#: C/genius.xml:1557(synopsis)
+#, no-wrap
+msgid "a@(,c)"
+msgstr "a@(,c)"
+
+#: C/genius.xml:1559(para)
+msgid "Get column of a matrix (or columns if <varname>c</varname> is a vector)."
+msgstr ""
+
+#: C/genius.xml:1568(synopsis)
+#, no-wrap
+msgid "a@(:,c)"
+msgstr "a@(:,c)"
+
+#: C/genius.xml:1578(synopsis)
+#, no-wrap
+msgid "a@(b)"
+msgstr "a@(b)"
+
+#: C/genius.xml:1580(para)
+msgid ""
+"Get an element from a matrix treating it as a vector. This will traverse the "
+"matrix row-wise."
+msgstr ""
+
+#: C/genius.xml:1589(synopsis)
+#, no-wrap
+msgid "a:b"
+msgstr "a:b"
+
+#: C/genius.xml:1593(programlisting)
+#, no-wrap
+msgid ""
+"A@(2:4,)\n"
+"\t     "
+msgstr ""
+"A@(2:4,)\n"
+"\t     "
+
+#: C/genius.xml:1591(para)
+msgid ""
+"Build a vector from <varname>a</varname> to <varname>b</varname> (or specify "
+"a row, column region for the <literal>@</literal> operator). For example to "
+"get rows 2 to 4 of mamtrix <varname>A</varname> we could do <placeholder-1/> "
+"as <userinput>2:4</userinput> will return a vector <userinput>[2,3,4]</"
+"userinput>."
+msgstr ""
+
+#: C/genius.xml:1603(synopsis)
+#, no-wrap
+msgid "a:b:c"
+msgstr "a:b:c"
+
+#: C/genius.xml:1608(programlisting)
+#, no-wrap
+msgid ""
+"genius&gt; 1:2:9\n"
+"=\n"
+"`[1, 3, 5, 7, 9]\n"
+msgstr ""
+"genius&gt; 1:2:9\n"
+"=\n"
+"`[1, 3, 5, 7, 9]\n"
+
+#: C/genius.xml:1605(para)
+msgid ""
+"Build a vector from <varname>a</varname> to <varname>c</varname> with "
+"<varname>b</varname> as a step. That is for example <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:1618(synopsis)
+#, no-wrap
+msgid "(a)i"
+msgstr "(a)i"
+
+#: C/genius.xml:1624(programlisting)
+#, no-wrap
+msgid ""
+"(a)*1i\n"
+"\t     "
+msgstr ""
+"(a)*1i\n"
+"\t     "
+
+#: C/genius.xml:1620(para)
+msgid ""
+"Make a imaginary number (multiply <varname>a</varname> by the imaginary). "
+"Note that normally the number <varname>i</varname> is written as "
+"<userinput>1i</userinput>. So the above is equal to <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:1632(synopsis)
+#, no-wrap
+msgid "`a"
+msgstr "`a"
+
+#: C/genius.xml:1634(para)
+msgid ""
+"Quote an identifier so that it doesn't get evaluated. Or quote a matrix so "
+"that it doesn't get expanded."
+msgstr ""
+
+#: C/genius.xml:1645(para)
+msgid ""
+"The @() operator makes the : operator most useful. With this you can specify "
+"regions of a matrix. So that a@(2:4,6) is the rows 2,3,4 of the column 6. Or "
+"a@(,1:2) will get you the first two columns of a matrix. You can also assign "
+"to the @() operator, as long as the right value is a matrix that matches the "
+"region in size, or if it is any other type of value."
+msgstr ""
+
+#: C/genius.xml:1651(para)
+msgid ""
+"The comparison operators (except for the &lt;=&gt; operator which behaves "
+"normally), are not strictly binary operators, they can in fact be grouped in "
+"the normal mathematical way, e.g.: (1&lt;x&lt;=y&lt;5) is a legal boolean "
+"expression and means just what it should, that is (1&lt;x and x&le;y and "
+"y&lt;5)"
+msgstr ""
+
+#: C/genius.xml:1657(para)
+msgid ""
+"The unitary minus operates in a different fashion depending on where it "
+"appears. If it appears before a number it binds very closely, if it appears "
+"in front of an expression it binds less than the power and factorial "
+"operators. So for example <userinput>-1^k</userinput> is really <userinput>(-"
+"1)^k</userinput>, but <userinput>-foo(1)^k</userinput> is really <userinput>-"
+"(foo(1)^k)</userinput>. So be careful how you use it and if in doubt, add "
+"parentheses."
+msgstr ""
+
+#: C/genius.xml:1672(title)
+msgid "Programming with GEL"
+msgstr "Programmierung mit GEL"
+
+#: C/genius.xml:1675(title)
+msgid "Conditionals"
+msgstr ""
+
+#: C/genius.xml:1676(para)
+msgid ""
+"Syntax: <placeholder-1/> If <literal>else</literal> is omitted, then if the "
+"<literal>expression1</literal> yields <constant>false</constant> or 0, "
+"<literal>NULL</literal> is returned."
+msgstr ""
+
+#: C/genius.xml:1690(programlisting)
+#, no-wrap
+msgid "if a=5 then a=a-1\n"
+msgstr "if a=5 then a=a-1\n"
+
+#: C/genius.xml:1693(programlisting)
+#, no-wrap
+msgid "if a==5 then a:=a-1\n"
+msgstr "if a==5 then a:=a-1\n"
+
+#: C/genius.xml:1682(para)
+msgid ""
+"Examples: <placeholder-1/> Note that <literal>=</literal> will be translated "
+"to <literal>==</literal> if used inside the expression for <literal>if</"
+"literal>, so <placeholder-2/> will be interpreted as: <placeholder-3/>"
+msgstr ""
+
+#: C/genius.xml:1699(title)
+msgid "Loops"
+msgstr "Schleifen"
+
+#: C/genius.xml:1702(title)
+msgid "While Loops"
+msgstr "While-Schleifen"
+
+#: C/genius.xml:1703(para)
+msgid ""
+"Syntax: <placeholder-1/> These are similiar to other languages, however they "
+"return the result of the last iteration or <literal>NULL</literal> if no "
+"iteration was done. In the boolean expression, <literal>=</literal> is "
+"translated into <literal>==</literal> just as for the <literal>if</literal> "
+"statement."
+msgstr ""
+
+#: C/genius.xml:1715(title)
+msgid "For Loops"
+msgstr "For-Schleifen"
+
+#: C/genius.xml:1722(programlisting)
+#, no-wrap
+msgid "for i = 1 to 20 by 2 do print(i)\n"
+msgstr "for i = 1 to 20 by 2 do print(i)\n"
+
+#: C/genius.xml:1716(para)
+msgid ""
+"Syntax: <placeholder-1/> Loop with identifier being set to all values from "
+"<literal>&lt;from&gt;</literal> to <literal>&lt;to&gt;</literal>, optionally "
+"using an increment other than 1. These are faster, nicer and more compact "
+"than the normal loops such as above, but less flexible. The identifier must "
+"be an identifier and can't be a dereference. The value of identifier is the "
+"last value of identifier, or <literal>&lt;from&gt;</literal> if body was "
+"never evaluated. The variable is guaranteed to be initialized after a loop, "
+"so you can safely use it. Also the <literal>&lt;from&gt;</literal>, "
+"<literal>&lt;to&gt;</literal> and <literal>&lt;increment&gt;</literal> must "
+"be non complex values. The <literal>&lt;to&gt;</literal> is not guaranteed to "
+"be hit, but will never be overshot, for example the following prints out odd "
+"numbers from 1 to 19: <placeholder-2/>"
+msgstr ""
+
+#: C/genius.xml:1728(title)
+msgid "Foreach Loops"
+msgstr ""
+
+#: C/genius.xml:1735(programlisting)
+#, no-wrap
+msgid "for n in [1,2:3,4] do print(n)\n"
+msgstr "for n in [1,2:3,4] do print(n)\n"
+
+#: C/genius.xml:1740(programlisting)
+#, no-wrap
+msgid "for n in RowsOf ([1,2:3,4]) do print(n)\n"
+msgstr "for n in RowsOf ([1,2:3,4]) do print(n)\n"
+
+#: C/genius.xml:1729(para)
+msgid ""
+"Syntax: <placeholder-1/> For each element, going row by row from left to "
+"right do the body. To print numbers 1,2,3 and 4 in this order you could do: "
+"<placeholder-2/> If you wish to run through the rows and columns of a matrix, "
+"you can use the RowsOf and ColumnsOf functions which return a vector of the "
+"rows or columns of the matrix. So, <placeholder-3/> will print out [1,2] and "
+"then [3,4]."
+msgstr ""
+
+#: C/genius.xml:1747(title)
+msgid "Break and Continue"
+msgstr ""
+
+#: C/genius.xml:1748(para)
+msgid ""
+"You can also use the <literal>break</literal> and <literal>continue</literal> "
+"commands in loops. The continue <literal>continue</literal> command will "
+"restart the current loop at its next iteration, while the <literal>break</"
+"literal> command exits the current loop. <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:1761(title)
+msgid "Sums and Products"
+msgstr "Summen und Produkte"
+
+#: C/genius.xml:1762(para)
+msgid ""
+"Syntax: <placeholder-1/> If you substitute <literal>for</literal> with "
+"<literal>sum</literal> or <literal>prod</literal>, then you will get a sum or "
+"a product instead of a <literal>for</literal> loop. Instead of returning the "
+"last value, these will return the sum or the product of the values "
+"respectively."
+msgstr ""
+
+#: C/genius.xml:1773(para)
+msgid ""
+"If no body is executed (for example <userinput>sum i=1 to 0 do ...</"
+"userinput>) then <literal>sum</literal> returns 0 and <literal>prod</literal> "
+"returns 1 as is the standard convention."
+msgstr ""
+
+#: C/genius.xml:1779(title)
+msgid "Comparison Operators"
+msgstr "Vergleichsoperatoren"
+
+#: C/genius.xml:1780(para)
+msgid ""
+"The following standard comparison operators are supported in GEL and have the "
+"obvious meaning: <literal>==</literal>, <literal>&gt;=</literal>, "
+"<literal>&lt;=</literal>, <literal>!=</literal>, <literal>&lt;&gt;</literal>, "
+"<literal>&lt;</literal>, <literal>&gt;</literal>. They return <constant>true</"
+"constant> or <constant>false</constant>. The operators <literal>!=</literal> "
+"and <literal>&lt;&gt;</literal> are the same thing and mean \"is not equal to"
+"\". GEL also supports the operator <literal>&lt;=&gt;</literal>, which "
+"returns -1 if left side is smaller, 0 if both sides are equal, 1 if left side "
+"is larger."
+msgstr ""
+
+#: C/genius.xml:1799(programlisting)
+#, no-wrap
+msgid ""
+"if a=b then c\n"
+"if a==b then c\n"
+msgstr ""
+"if a=b then c\n"
+"if a==b then c\n"
+
+#: C/genius.xml:1795(para)
+msgid ""
+"Normally <literal>=</literal> is translated to <literal>==</literal> if it "
+"happens to be somewhere where GEL is expecing a condition such as in the if "
+"condition. For example <placeholder-1/> are the same thing in GEL. However "
+"you should really use <literal>==</literal> or <literal>:=</literal> when you "
+"want to compare or assign respectively if you want your code to be easy to "
+"read and to avoid mistakes."
+msgstr ""
+
+#: C/genius.xml:1808(para)
+msgid ""
+"All the comparison operators (except for the <literal>&lt;=&gt;</literal> "
+"operator which behaves normally), are not strictly binary operators, they can "
+"in fact be grouped in the normal mathematical way, e.g.: (<literal>1&lt;x&lt;"
+"=y&lt;5</literal>) is a legal boolean expression and means just what it "
+"should, that is (1&lt;x and x&le;y and y&lt;5)"
+msgstr ""
+
+#: C/genius.xml:1817(para)
+msgid ""
+"To build up logical expressions use the words <literal>not</literal>, "
+"<literal>and</literal>, <literal>or</literal>, <literal>xor</literal>. The "
+"operators <literal>or</literal> and <literal>and</literal> are special beasts "
+"as they evaluate their arguemnts one by one, so the usual trick for "
+"conditional evaluation works here as well. For example, <literal>1 or a=1</"
+"literal> will not set <literal>a=1</literal> since the first argument was "
+"true."
+msgstr ""
+
+#: C/genius.xml:1828(title)
+msgid "Global Variables and Scope of Variables"
+msgstr ""
+
+#: C/genius.xml:1829(para)
+msgid ""
+"Like most programming languages, GEL has two different types of variables: "
+"local and global. A local variable only exists in the context of the function "
+"where it is set and all functions called from inside this function. A global "
+"variable exists in all contexts. When you set a variable on the toplevel "
+"command line, outside of any function, then it will be a global. All "
+"functions will see it."
+msgstr ""
+
+#: C/genius.xml:1846(programlisting)
+#, no-wrap
+msgid ""
+"function f() = (a:=5; g());\n"
+"function g() = print(a);\n"
+"f();\n"
+msgstr ""
+"function f() = (a:=5; g());\n"
+"function g() = print(a);\n"
+"f();\n"
+
+#: C/genius.xml:1838(para)
+msgid ""
+"When you set a variable inside a function, it will only be seen inside the "
+"function, including all function calls that are made inside this function. "
+"This is where GEL differs from a language such as C. One could describe local "
+"variables as being semi global in this sense. For example the following code "
+"will print out 5. but the function <function>g</function> cannot be called on "
+"the top level as <varname>a</varname> will not be defined. <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:1857(programlisting)
+#, no-wrap
+msgid ""
+"a=6;\n"
+"function f() = (a:=5);\n"
+"print(a);\n"
+msgstr ""
+"a=6;\n"
+"function f() = (a:=5);\n"
+"print(a);\n"
+
+#: C/genius.xml:1851(para)
+msgid ""
+"Suppose you assign a value to an identifier inside a function, and this "
+"identifier is also used for a global variable, or a variable set in a calling "
+"function. Then this has the effect of creating a new local variable inside "
+"the function. For example the following code will print out 6 and not 5. "
+"<placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:1868(programlisting)
+#, no-wrap
+msgid "set(`a,3)\n"
+msgstr "set(`a,3)\n"
+
+#: C/genius.xml:1871(programlisting)
+#, no-wrap
+msgid "set(\"a\",3)\n"
+msgstr "set(\"a\",3)\n"
+
+#: C/genius.xml:1862(para)
+msgid ""
+"Sometimes however it is neccessary to set a global variable from inside a "
+"function. For this, use the <function>set</function> function. Passing a "
+"string or a quoted identifier to this function sets the variable globally. "
+"For example, to set <varname>a</varname> to the value 3 you could call: "
+"<placeholder-1/> or: <placeholder-2/>"
+msgstr ""
+
+#: C/genius.xml:1874(para)
+msgid ""
+"The <function>set</function> function always sets the toplevel global. There "
+"is no way to set a local variable in some function from a subroutine. For "
+"this you must use passing by reference."
+msgstr ""
+
+#: C/genius.xml:1882(title)
+msgid "Returning"
+msgstr ""
+
+#: C/genius.xml:1883(para)
+msgid ""
+"Normally a function is one or several expressions separated by a semicolon, "
+"and the value of the last expression is returned. This is fine for simple "
+"functions, but sometimes you do not want a function to return the last thing "
+"calculated. You may, for example, want to return from a middle of a function. "
+"In this case, you can use the <literal>return</literal> keyword. "
+"<literal>return</literal> takes one argument, which is the value to be "
+"returned."
+msgstr ""
+
+#: C/genius.xml:1905(title)
+msgid "References"
+msgstr ""
+
+#: C/genius.xml:1906(para)
+msgid ""
+"It may be neccessary for some functions to return more than one value. This "
+"may be accomplished by returning a vector of values, but many times it is "
+"convenient to use passing a reference to a variable. You pass a reference to "
+"a variable to a function, and the function will set the variable for you "
+"using a dereference. You do not have to use references only for this purpose, "
+"but this is their main use."
+msgstr ""
+
+#: C/genius.xml:1914(para)
+msgid ""
+"When using functions which return values through references in the argument "
+"list, just pass the variable name with an ampersand. For example the "
+"following code will compute an eigenvalue of a matrix <varname>A</varname> "
+"with initial eigenvector guess <varname>x</varname>, and store the computed "
+"eigenvector into the variable named <varname>v</varname>: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:1924(para)
+msgid ""
+"The details of how references work and the syntax is similar to the C "
+"language. The operator <literal>&amp;</literal> references a variable and "
+"<literal>*</literal> dereferences a variable. Both can only be applied to an "
+"identifier, so <literal>**a</literal> is not a legal expression in GEL."
+msgstr ""
+
+#: C/genius.xml:1931(para)
+msgid ""
+"References are best explained by an example: <placeholder-1/> now <varname>a</"
+"varname> contains 2. You can also reference functions: <placeholder-2/> gives "
+"us 4."
+msgstr ""
+
+#: C/genius.xml:1947(title)
+msgid "Lvalues"
+msgstr ""
+
+#: C/genius.xml:1953(userinput)
+#, no-wrap
+msgid "a"
+msgstr "a"
+
+#: C/genius.xml:1955(para)
+msgid ""
+"Identifier. Here we would be setting the varable of name <varname>a</varname>."
+msgstr ""
+
+#: C/genius.xml:1964(para)
+msgid ""
+"Dereference of an identifier. This will set whatever variable <varname>a</"
+"varname> points to."
+msgstr ""
+
+#: C/genius.xml:1971(userinput)
+#, no-wrap
+msgid "a@(&lt;region&gt;)"
+msgstr "a@(&lt;region&gt;)"
+
+#: C/genius.xml:1973(para)
+msgid ""
+"A region of a matrix. Here the region is specified normally as with the "
+"regular @() operator, and can be a single entry, or an entire region of the "
+"matrix."
+msgstr ""
+
+#: C/genius.xml:1948(para)
+msgid ""
+"An lvalue is the left hand side of an assignment. In other words, an lvalue "
+"is what you assign something to. Valid lvalues are: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:1984(programlisting)
+#, no-wrap
+msgid ""
+"a:=4\n"
+"*tmp := 89\n"
+"a@(1,1) := 5\n"
+"a@(4:8,3) := [1,2,3,4,5]'\n"
+msgstr ""
+"a:=4\n"
+"*tmp := 89\n"
+"a@(1,1) := 5\n"
+"a@(4:8,3) := [1,2,3,4,5]'\n"
+
+#: C/genius.xml:1982(para)
+msgid ""
+"Examples: <placeholder-1/> Note that both <literal>:=</literal> and "
+"<literal>=</literal> can be used interchangably. Except if the assignment "
+"appears in a condition. It is thus always safer to just use <literal>:=</"
+"literal> when you mean assignment, and <literal>==</literal> when you mean "
+"comparison."
+msgstr ""
+
+#: C/genius.xml:2000(title)
+msgid "Advanced Programming with GEL"
+msgstr "Fortgeschrittene Programmierung mit GEL"
+
+#: C/genius.xml:2003(title)
+msgid "Error Handling"
+msgstr "Fehlerbehandlung"
+
+#: C/genius.xml:2004(para)
+msgid ""
+"If you detect an error in your function, you can bail out of it. For normal "
+"errors, such as wrong types of arguments, you can fail to compute the "
+"function by adding the statement <literal>bailout</literal>. If something "
+"went really wrong and you want to completely kill the current computation, "
+"you can use <literal>exception</literal>."
+msgstr ""
+
+#: C/genius.xml:2014(programlisting)
+#, no-wrap
+msgid ""
+"function f(M) = (\n"
+"  if not IsMatrix (M) then (\n"
+"    error (\"M not a matrix!\");\n"
+"    bailout\n"
+"  );\n"
+"  ...\n"
+")\n"
+msgstr ""
+"function f(M) = (\n"
+"  if not IsMatrix (M) then (\n"
+"    error (\"M not a matrix!\");\n"
+"    bailout\n"
+"  );\n"
+"  ...\n"
+")\n"
+
+#: C/genius.xml:2011(para)
+msgid ""
+"For example if you want to check for arguments in your function. You could "
+"use the following code. <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:2026(title)
+msgid "Toplevel Syntax"
+msgstr ""
+
+#: C/genius.xml:2027(para)
+msgid ""
+"The synatax is slightly different if you enter statements on the top level "
+"versus when they are inside parentheses or inside functions. On the top "
+"level, enter acts the same as if you press return on the command line. "
+"Therefore think of programs as just sequence of lines as if were entered on "
+"the command line. In particular, you do not need to enter the separator at "
+"the end of the line (unless it is of course part of several statements inside "
+"parenteses)."
+msgstr ""
+
+#: C/genius.xml:2040(programlisting)
+#, no-wrap
+msgid ""
+"if Something() then\n"
+"  DoSomething()\n"
+"else\n"
+"  DoSomethingElse()\n"
+msgstr ""
+
+#: C/genius.xml:2037(para)
+msgid ""
+"The following code will produce an error when entered on the top level of a "
+"program, while it will work just fine in a function. <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:2054(programlisting)
+#, no-wrap
+msgid ""
+"if Something() then (\n"
+"  DoSomething()\n"
+") else (\n"
+"  DoSomethingElse()\n"
+")\n"
+msgstr ""
+
+#: C/genius.xml:2046(para)
+msgid ""
+"The problem is that after <application>Genius Mathematics Tool</application> "
+"sees the end of line after the second line, it will decide that we have whole "
+"statement and it will execute it. After the execution is done, "
+"<application>Genius Mathematics Tool</application> will go on to the next "
+"line, it will see <literal>else</literal>, and it will produce a parsing "
+"error. To fix this, use parentheses. <application>Genius Mathematics Tool</"
+"application> will not be satisfied until it has found that all parenteses are "
+"closed. <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:2064(title)
+msgid "Returning Functions"
+msgstr ""
+
+#: C/genius.xml:2075(programlisting)
+#, no-wrap
+msgid ""
+"function f() = (\n"
+"  k = 5;\n"
+"  `(x) = (x+k)\n"
+")\n"
+msgstr ""
+"function f() = (\n"
+"  k = 5;\n"
+"  `(x) = (x+k)\n"
+")\n"
+
+#: C/genius.xml:2082(programlisting)
+#, no-wrap
+msgid ""
+"g = f();\n"
+"g(5)\n"
+msgstr ""
+"g = f();\n"
+"g(5)\n"
+
+#: C/genius.xml:2065(para)
+msgid ""
+"It is possible to return functions as value. This way you can build functions "
+"which construct special purpose functions according to some parameters. The "
+"tricky bit is what variables does the function see. The way this works in GEL "
+"is that when a function returns another function, all identifiers referenced "
+"in the function body are prepended a private dictionary of the returned "
+"function. So the function will see all variables that were in scope when it "
+"was defined. For example we define a function which returns a function which "
+"adds 5 to its argument. <placeholder-1/> Notice that the function adds "
+"<varname>k</varname> to <varname>x</varname>. You could use this as follows. "
+"<placeholder-2/> And <userinput>g(5)</userinput> should return 10."
+msgstr ""
+
+#: C/genius.xml:2091(programlisting)
+#, no-wrap
+msgid ""
+"function f() = (\n"
+"  k = 5;\n"
+"  r = `(x) = (x+k);\n"
+"  k = 10;\n"
+"  r\n"
+")\n"
+msgstr ""
+"function f() = (\n"
+"  k = 5;\n"
+"  r = `(x) = (x+k);\n"
+"  k = 10;\n"
+"  r\n"
+")\n"
+
+#: C/genius.xml:2087(para)
+msgid ""
+"One thing to note is that the value of <varname>k</varname> that is used is "
+"the one that's in effect when the <function>f</function> returns. So for "
+"example <placeholder-1/> will return a function that adds 10 to its argument "
+"rather than 5. This is because the extra dictionary is created only when the "
+"context in which the function was defined ends, which is when the function "
+"<function>f</function> returns. This is consistent with how you would expect "
+"the function <function>r</function> to work inside the function <function>f</"
+"function> according to the rules of scope of variables in GEL. Only those "
+"variables are added to the extra dictionary that are in the context that just "
+"ended and no longer exists. Variables used in the function that are in still "
+"valid contexts will work as usual, using the current value of the variable."
+msgstr ""
+
+#: C/genius.xml:2113(title)
+msgid "GEL Startup Procedure"
+msgstr ""
+
+#: C/genius.xml:2114(para)
+msgid ""
+"First the program looks for the installed library file (the compiled version "
+"<filename>lib.cgel</filename>) in the installed directory, then it looks into "
+"the current directory, and then it tries to load an uncompiled file called "
+"<filename>~/.geniusinit</filename>."
+msgstr ""
+
+#: C/genius.xml:2118(para)
+msgid ""
+"If you ever change the the library its installed place, you&rsquo;ll have to "
+"first compile it with <command>genius --compile loader.gel &gt; lib.cgel</"
+"command>"
+msgstr ""
+
+#: C/genius.xml:2125(title)
+msgid "Loading Programs"
+msgstr "Laden von Programmen"
+
+#: C/genius.xml:2128(programlisting)
+#, no-wrap
+msgid ""
+"load program1.gel program2.gel\n"
+"load \"Weird File Name With SPACES.gel\"\n"
+msgstr ""
+
+#: C/genius.xml:2132(programlisting)
+#, no-wrap
+msgid ""
+"cd directory_with_gel_programs\n"
+"ls *.gel\n"
+msgstr ""
+
+#: C/genius.xml:2126(para)
+msgid ""
+"Sometimes you have a larger program that you wrote into a file and want to "
+"read in that file. In these situations, you have two options. You can keep "
+"the functions you use most inside the <filename>~/.geniusinit</filename> "
+"file. Or if you want to load up a file in a middle of a session (or from "
+"within another file), you can type <command>load &lt;list of filenames&gt;</"
+"command> at the prompt. This has to be done on the top level and not inside "
+"any function or whatnot, and it cannot be part of any expression. It also has "
+"a slightly different syntax than the rest of genius, more similiar to a "
+"shell. You can enter the file in quotes. If you use the '' quotes, you will "
+"get exactly the string that you typed, if you use the \"\" quotes, special "
+"characters will be unescaped as they are for strings. Example: <placeholder-1/"
+"> There are also <command>cd</command>, <command>pwd</command> and "
+"<command>ls</command> commands built in. <command>cd</command> will take one "
+"argument, <command>ls</command> will take an argument which is like the glob "
+"in the unix shell (i.e., you can use wildcards). <command>pwd</command> takes "
+"no arguments. For example: <placeholder-2/>"
+msgstr ""
+
+#: C/genius.xml:2142(title)
+msgid "Matrices in GEL"
+msgstr ""
+
+#: C/genius.xml:2144(para)
+msgid ""
+"Genius has support for vectors and matrices and a sizable library of matrix "
+"manipulation and linear algebra functions."
+msgstr ""
+
+#: C/genius.xml:2150(title)
+msgid "Entering Matrices"
+msgstr ""
+
+#: C/genius.xml:2159(programlisting)
+#, no-wrap
+msgid "[1,2,3;4,5,6;7,8,9]\n"
+msgstr "[1,2,3;4,5,6;7,8,9]\n"
+
+#: C/genius.xml:2162(programlisting)
+#, no-wrap
+msgid ""
+"[1, 2, 3\n"
+" 4, 5, 6\n"
+" 7, 8, 9]\n"
+msgstr ""
+"[1, 2, 3\n"
+" 4, 5, 6\n"
+" 7, 8, 9]\n"
+
+#: C/genius.xml:2151(para)
+msgid ""
+"To enter matrixes, you can use one of the following two syntaxes. You can "
+"either enter the matrix on one line, separating values by commas and rows by "
+"semicolons. Or you can enter each row on one line, separating values by "
+"commas. You can also just combine the two methods. So to enter a 3x3 matrix "
+"of numbers 1-9 you could do <placeholder-1/> or <placeholder-2/> Do not use "
+"both ';' and return at once on the same line though."
+msgstr ""
+
+#: C/genius.xml:2172(programlisting)
+#, no-wrap
+msgid ""
+"a = [ 1, 2, 3\n"
+"      4, 5, 6\n"
+"      7, 8, 9]\n"
+"b = [ a,  10\n"
+"      11, 12]\n"
+msgstr ""
+"a = [ 1, 2, 3\n"
+"      4, 5, 6\n"
+"      7, 8, 9]\n"
+"b = [ a,  10\n"
+"      11, 12]\n"
+
+#: C/genius.xml:2179(programlisting)
+#, no-wrap
+msgid ""
+"[1,   2,  3, 10\n"
+" 4,   5,  6, 10\n"
+" 7,   8,  9, 10\n"
+" 11, 11, 11, 12]\n"
+msgstr ""
+"[1,   2,  3, 10\n"
+" 4,   5,  6, 10\n"
+" 7,   8,  9, 10\n"
+" 11, 11, 11, 12]\n"
+
+#: C/genius.xml:2169(para)
+msgid ""
+"You can also use the matrix expansion functionality to enter matricies. For "
+"example you can do: <placeholder-1/> and you should get <placeholder-2/> "
+"similiarly you can build matricies out of vectors and other stuff like that."
+msgstr ""
+
+#: C/genius.xml:2189(programlisting)
+#, no-wrap
+msgid ""
+"[1, 2, 3\n"
+" 4, 5\n"
+" 6]\n"
+msgstr ""
+"[1, 2, 3\n"
+" 4, 5\n"
+" 6]\n"
+
+#: C/genius.xml:2194(programlisting)
+#, no-wrap
+msgid ""
+"\n"
+"[1, 2, 3\n"
+" 4, 5, 0\n"
+" 6, 0, 0]\n"
+msgstr ""
+"\n"
+"[1, 2, 3\n"
+" 4, 5, 0\n"
+" 6, 0, 0]\n"
+
+#: C/genius.xml:2187(para)
+msgid ""
+"Another thing is that non-specified spots are initialized to 0, so "
+"<placeholder-1/> will end up being <placeholder-2/>"
+msgstr ""
+
+#: C/genius.xml:2201(para)
+msgid ""
+"When matrices are evaluated, they are evaluated and traversed row-wise. This "
+"is just like the <literal>M@(j)</literal> operator which traverses the matrix "
+"row-wise."
+msgstr ""
+
+#: C/genius.xml:2207(para)
+msgid ""
+"Be careful about using returns for expressions inside the <literal>[ ]</"
+"literal> brackets, as they have a slightly different meaning there. You will "
+"start a new row."
+msgstr ""
+
+#: C/genius.xml:2217(title)
+msgid "Conjugate Transpose and Transpose Operator"
+msgstr ""
+
+#: C/genius.xml:2225(programlisting)
+#, no-wrap
+msgid "[1,2,3]*[4,5,6]'\n"
+msgstr "[1,2,3]*[4,5,6]'\n"
+
+#: C/genius.xml:2230(programlisting)
+#, no-wrap
+msgid "[1,2,3]*[4,5,6i].'\n"
+msgstr "[1,2,3]*[4,5,6i].'\n"
+
+#: C/genius.xml:2218(para)
+msgid ""
+"You can conjugate transpose a matrix by using the <literal>'</literal> "
+"operator. That is the entry in the <varname>i</varname>th column and the "
+"<varname>j</varname>th row will be the complex conjugate of the entry in the "
+"<varname>j</varname>th column and the <varname>i</varname>th row of the "
+"original matrix. For example: <placeholder-1/> We transpose the second vector "
+"to make matrix multiplication possible. If you just want to transpose a "
+"matrix without conjugating it, you would use the <literal>.'</literal> "
+"operator. For example: <placeholder-2/>"
+msgstr ""
+
+#: C/genius.xml:2233(para)
+msgid ""
+"Note that normal transpose, that is the <literal>.'</literal> operator, is "
+"much faster and will not create a new copy of the matrix in memory. The "
+"conjugate transpose does create a new copy unfortunately. It is recommended "
+"to always use the <literal>.'</literal> operator when working with real "
+"matrices and vectors."
+msgstr ""
+
+#: C/genius.xml:2243(title) C/genius.xml:2635(title)
+msgid "Linear Algebra"
+msgstr "Lineare Algebra"
+
+#: C/genius.xml:2244(para)
+msgid ""
+"Genius implements many useful linear algebra and matrix manipulation "
+"routines. See the <link linkend=\"genius-gel-function-list-linear-algebra"
+"\">Linear Algebra</link> and <link linkend=\"genius-gel-function-list-matrix"
+"\">Matrix Manipulation</link> sections of the GEL function listing."
+msgstr ""
+
+#: C/genius.xml:2251(para)
+msgid ""
+"The linear algebra routines implemented in GEL do not currently come from a "
+"well tested numerical package, and thus should not be used for critical "
+"numerical computation. On the other hand, Genius implements very well many "
+"linear algebra operations with rational and integer coefficients. These are "
+"inherently exact and in fact will give you much better results than common "
+"double precision routines for linear algebra."
+msgstr ""
+
+#: C/genius.xml:2259(para)
+msgid ""
+"For example, it is pointless to compute the rank and nullspace of a floating "
+"point matrix since for all practical purposes, we need to consider the matrix "
+"as having some slight errors. You are likely to get a different result than "
+"you expect. The problem is that under a small perturbation every matrix is of "
+"full rank and invertible. If the matrix however is of rational numbers, then "
+"the rank and nullspace are always exact."
+msgstr ""
+
+#: C/genius.xml:2267(para)
+msgid ""
+"In general when Genius computes the basis of a certain vectorspace (for "
+"example with the <function>NullSpace</function>) it will give the basis as a "
+"matrix, in which the columns are the vectors of the basis. That is, when "
+"Genius talks of a linear subspace it means a matrix whose column space is the "
+"given linear subspace."
+msgstr ""
+
+#: C/genius.xml:2274(para)
+msgid ""
+"It should be noted that Genius can remember certain properties of a matrix. "
+"For example, it will remember that a matrix is in row reduced form. If many "
+"calls are made to functions which internally use row reduced form of the "
+"matrix, we can just row reduce the matrix beforehand once. Successive calls "
+"to <function>rref</function> will be very fast."
+msgstr ""
+
+#: C/genius.xml:2287(title)
+msgid "Polynomials in GEL"
+msgstr ""
+
+#: C/genius.xml:2289(para)
+msgid ""
+"Currently Genius can handle polynomials of one variable written out as "
+"vectors, and do some basic operations with these. It is planned to expand "
+"this support further."
+msgstr ""
+
+#: C/genius.xml:2296(title)
+msgid "Using Polynomials"
+msgstr ""
+
+#: C/genius.xml:2302(programlisting)
+#, no-wrap
+msgid "[1,2,3]\n"
+msgstr "[1,2,3]\n"
+
+#: C/genius.xml:2305(programlisting)
+#, no-wrap
+msgid "1 + 2*x + 3*x^2\n"
+msgstr "1 + 2*x + 3*x^2\n"
+
+#: C/genius.xml:2297(para)
+msgid ""
+"Currently polynomials in one variable are just horizontal vectors with value "
+"only nodes. The power of the term is the position in the vector, with the "
+"first position being 0. So, <placeholder-1/> translates to a polynomial of "
+"<placeholder-2/>"
+msgstr ""
+
+#: C/genius.xml:2317(programlisting)
+#, no-wrap
+msgid "PolyToString([1,2,3],\"y\")\n"
+msgstr "PolyToString([1,2,3],\"y\")\n"
+
+#: C/genius.xml:2320(programlisting)
+#, no-wrap
+msgid "3*y^2 + 2*y + 1\n"
+msgstr "3*y^2 + 2*y + 1\n"
+
+#: C/genius.xml:2327(programlisting)
+#, no-wrap
+msgid ""
+"f = PolyToFunction([0,1,1])\n"
+"f(2)\n"
+msgstr ""
+"f = PolyToFunction([0,1,1])\n"
+"f(2)\n"
+
+#: C/genius.xml:2308(para)
+msgid ""
+"You can add, subtract and multiply polynomials using the <link linkend=\"gel-"
+"function-AddPoly\"><function>AddPoly</function></link>, <link linkend=\"gel-"
+"function-SubtractPoly\"><function>SubtractPoly</function></link>, and <link "
+"linkend=\"gel-function-MultiplyPoly\"><function>MultiplyPoly</function></"
+"link> functions respectively. You can print a polynomial using the <link "
+"linkend=\"gel-function-PolyToString\"><function>PolyToString</function></"
+"link> function. For example, <placeholder-1/> gives <placeholder-2/> You can "
+"also get a function representation of the polynomial so that you can evaluate "
+"it. This is done by using <link linkend=\"gel-function-PolyToFunction"
+"\"><function>PolyToFunction</function></link>, which returns an anonymous "
+"function which you can assign to something. <placeholder-3/>"
+msgstr ""
+
+#: C/genius.xml:2331(para)
+msgid ""
+"It is also possible to find roots of polynomials of degrees 1 through 4 by "
+"using the function <link linkend=\"gel-function-PolynomialRoots"
+"\"><function>PolynomialRoots</function></link>, which calls the appropriate "
+"formula function. Higher degree polynomials must be converted to functions "
+"and solved numerically using a function such as <link linkend=\"gel-function-"
+"FindRootBisection\"><function>FindRootBisection</function></link>, <link "
+"linkend=\"gel-function-FindRootFalsePosition"
+"\"><function>FindRootFalsePosition</function></link>, <link linkend=\"gel-"
+"function-FindRootMullersMethod\"><function>FindRootMullersMethod</function></"
+"link>, or <link linkend=\"gel-function-FindRootSecant"
+"\"><function>FindRootSecant</function></link>."
+msgstr ""
+
+#: C/genius.xml:2343(para)
+msgid ""
+"See <xref linkend=\"genius-gel-function-list-polynomials\"/> in the function "
+"list for the rest of functions acting on polynomials."
+msgstr ""
+
+#: C/genius.xml:2353(title)
+msgid "Set Theory in GEL"
+msgstr ""
+
+#: C/genius.xml:2355(para)
+msgid ""
+"Genius has some basic set theoretic functionality built in. Currently a set "
+"is just a vector (or a matrix). Every distinct object is treated as a "
+"different element."
+msgstr ""
+
+#: C/genius.xml:2361(title)
+msgid "Using Sets"
+msgstr ""
+
+#: C/genius.xml:2362(para)
+msgid ""
+"Just like vectors, objects in sets can include numbers, strings, "
+"<constant>null</constant>, matrices and vectors. It is planned in the future "
+"to have a dedicated type for sets, rather than using vectors. Note that "
+"floating point numbers are distinct from integers, even if they appear the "
+"same. That is, Genius will treat <constant>0</constant> and <constant>0.0</"
+"constant> as two distinct elements. The <constant>null</constant> is treated "
+"as an empty set."
+msgstr ""
+
+#: C/genius.xml:2370(para)
+msgid ""
+"To build a set out of a vector, use the <link linkend=\"gel-function-MakeSet"
+"\"><function>MakeSet</function></link> function. Currently, it will just "
+"return a new vector where every element is unique. <screen><prompt>genius&gt; "
+"</prompt><userinput>MakeSet([1,2,2,3])</userinput>\n"
+"= [1, 2, 3]\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:2379(para)
+msgid ""
+"Similarly there are functions <link linkend=\"gel-function-Union"
+"\"><function>Union</function></link>, <link linkend=\"gel-function-"
+"Intersection\"><function>Intersection</function></link>, <link linkend=\"gel-"
+"function-SetMinus\"><function>SetMinus</function></link>, which are rather "
+"self explanatory. For example: <screen><prompt>genius&gt; </"
+"prompt><userinput>Union([1,2,3], [1,2,4])</userinput>\n"
+"= [1, 2, 4, 3]\n"
+"</screen> Note that no order is guaranteed for the return values. If you wish "
+"to sort the vector you should use the <link linkend=\"gel-function-SortVector"
+"\"><function>SortVector</function></link> function."
+msgstr ""
+
+#: C/genius.xml:2393(para)
+msgid ""
+"For testing membership, there are functions <link linkend=\"gel-function-IsIn"
+"\"><function>IsIn</function></link> and <link linkend=\"gel-function-IsSubset"
+"\"><function>IsSubset</function></link>, which return a boolean value. For "
+"example: <screen><prompt>genius&gt; </prompt><userinput>IsIn (1, [0,1,2])</"
+"userinput>\n"
+"= true\n"
+"</screen> The input <userinput>IsIn(x,X)</userinput> is of course equivalent "
+"to <userinput>IsSubset([x],X)</userinput>. Note that since the empty set is a "
+"subset of every set, <userinput>IsSubset(null,X)</userinput> is always true."
+msgstr ""
+
+#: C/genius.xml:2412(title)
+msgid "List of GEL functions"
+msgstr "Liste der GEL-Funktionen"
+
+#: C/genius.xml:9(title)
+msgid "Commands"
+msgstr "Befehle"
+
+#: C/genius.xml:12(term) C/genius.xml:14(synopsis)
+msgid "help"
+msgstr "help"
+
+#: C/genius.xml:15(synopsis)
+#, no-wrap
+msgid "help FunctionName"
+msgstr "help FunctionName"
+
+#: C/genius.xml:16(para)
+msgid "Print help (or help on a function/command)."
+msgstr ""
+
+#: C/genius.xml:21(term)
+msgid "load"
+msgstr "load"
+
+#: C/genius.xml:23(synopsis)
+#, no-wrap
+msgid "load \"file.gel\""
+msgstr "load \"file.gel\""
+
+#: C/genius.xml:24(para)
+msgid ""
+"Load a file into the interpretor. The file will execute as if it were typed "
+"onto the command line."
+msgstr ""
+"Lädt eine Datei in den Interpreter. Die Datei wird ausgeführt, als wäre sie "
+"in der Befehlszeile eingegeben worden."
+
+#: C/genius.xml:30(term)
+msgid "cd"
+msgstr "cd"
+
+#: C/genius.xml:32(synopsis)
+#, no-wrap
+msgid "cd /directory/name"
+msgstr "cd /Ordner/Name"
+
+#: C/genius.xml:33(para)
+msgid "Change working directory to <filename>/directory/name</filename>."
+msgstr "Wechselt den Arbeitsordner zu <filename>/Ordner/Name</filename>."
+
+#: C/genius.xml:38(term) C/genius.xml:40(synopsis)
+msgid "pwd"
+msgstr "pwd"
+
+#: C/genius.xml:41(para)
+msgid "Print the current working directory."
+msgstr ""
+
+#: C/genius.xml:46(term) C/genius.xml:48(synopsis)
+msgid "ls"
+msgstr "ls"
+
+#: C/genius.xml:49(para)
+msgid "List files in the current directory."
+msgstr "Listet die Dateien im aktuellen Ordner auf."
+
+#: C/genius.xml:54(term)
+msgid "plugin"
+msgstr "plugin"
+
+#: C/genius.xml:56(synopsis)
+#, no-wrap
+msgid "plugin plugin_name"
+msgstr "plugin plugin_name"
+
+#: C/genius.xml:57(para)
+msgid ""
+"Load a plugin. Plugin of that name must be installed on the system in the "
+"proper directory."
+msgstr ""
+"Lädt ein Plugin. Ein Plugin dieses Namens muss auf Ihrem System vorhanden und "
+"im richtigen Ordner installiert sein."
+
+#: C/genius.xml:65(title)
+msgid "Basic"
+msgstr ""
+
+#: C/genius.xml:68(term)
+msgid "AskString"
+msgstr "AskString"
+
+#: C/genius.xml:70(synopsis)
+#, no-wrap
+msgid "AskString (query)"
+msgstr "AskString (query)"
+
+#: C/genius.xml:71(synopsis)
+#, no-wrap
+msgid "AskString (query, default)"
+msgstr "AskString (query, default)"
+
+#: C/genius.xml:72(para)
+msgid ""
+"Asks a question and lets the user enter a string which it then returns. If "
+"the user cancels or closes the window, then <constant>null</constant> is "
+"returned. The execution of the program is blocked until the user responds. If "
+"<varname>default</varname> is given, then it is pre-typed in for the user to "
+"just press enter on."
+msgstr ""
+
+#: C/genius.xml:80(term)
+msgid "Compose"
+msgstr "Compose"
+
+#: C/genius.xml:82(synopsis)
+#, no-wrap
+msgid "Compose (f,g)"
+msgstr "Compose (f,g)"
+
+#: C/genius.xml:83(para)
+msgid ""
+"Compose two functions and return a function that is the composition of "
+"<function>f</function> and <function>g</function>."
+msgstr ""
+
+#: C/genius.xml:88(term)
+msgid "ComposePower"
+msgstr "ComposePower"
+
+#: C/genius.xml:90(synopsis)
+#, no-wrap
+msgid "ComposePower (f,n,x)"
+msgstr "ComposePower (f,n,x)"
+
+#: C/genius.xml:91(para)
+msgid ""
+"Compose and execute a function with itself <varname>n</varname> times, "
+"passing <varname>x</varname> as argument. Returning <varname>x</varname> if "
+"<varname>n</varname> equals 0. Example: <screen><prompt>genius&gt;</prompt> "
+"<userinput>function f(x) = x^2 ;</userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>ComposePower (f,3,7)</userinput>\n"
+"= 5764801\n"
+"<prompt>genius&gt;</prompt> <userinput>f(f(f(7)))</userinput>\n"
+"= 5764801\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:105(term)
+msgid "Evaluate"
+msgstr "Evaluate"
+
+#: C/genius.xml:107(synopsis)
+#, no-wrap
+msgid "Evaluate (str)"
+msgstr "Evaluate (str)"
+
+#: C/genius.xml:108(para)
+msgid "Parses and evaluates a string."
+msgstr ""
+
+#: C/genius.xml:114(term) C/genius.xml:116(synopsis)
+msgid "GetCurrentModulo"
+msgstr "GetCurrentModulo"
+
+#: C/genius.xml:117(para)
+msgid ""
+"Get current modulo from the context outside the function. That is, if outside "
+"of the function was executed in modulo (using <literal>mod</literal>) then "
+"this returns what this modulo was. Normally the body of the function called "
+"is not executed in modular arithmetic, and this builtin function makes it "
+"possible to make GEL functions aware of modular arithmetic."
+msgstr ""
+
+#: C/genius.xml:125(term)
+msgid "Identity"
+msgstr "Identity"
+
+#: C/genius.xml:127(synopsis)
+#, no-wrap
+msgid "Identity (x)"
+msgstr "Identity (x)"
+
+#: C/genius.xml:128(para)
+msgid "Identity function, returns its argument."
+msgstr ""
+
+#: C/genius.xml:133(term)
+msgid "IntegerFromBoolean"
+msgstr "IntegerFromBoolean"
+
+#: C/genius.xml:135(synopsis)
+#, no-wrap
+msgid "IntegerFromBoolean (bval)"
+msgstr "IntegerFromBoolean (bval)"
+
+#: C/genius.xml:136(para)
+msgid ""
+"Make integer (0 for <constant>false</constant> or 1 for <constant>true</"
+"constant>) from a boolean value. <varname>bval</varname> can also be a number "
+"in which case a non-zero value will be interpreted as <constant>true</"
+"constant> and zero will be interpretted as <constant>false</constant>."
+msgstr ""
+
+#: C/genius.xml:147(term)
+msgid "IsBoolean"
+msgstr "IsBoolean"
+
+#: C/genius.xml:149(synopsis)
+#, no-wrap
+msgid "IsBoolean (arg)"
+msgstr "IsBoolean (arg)"
+
+#: C/genius.xml:150(para)
+msgid "Check if argument is a boolean (and not a number)."
+msgstr ""
+
+#: C/genius.xml:155(term)
+msgid "IsDefined"
+msgstr "IsDefined"
+
+#: C/genius.xml:157(synopsis)
+#, no-wrap
+msgid "IsDefined (id)"
+msgstr "IsDefined (id)"
+
+#: C/genius.xml:158(para)
+msgid ""
+"Check if an id is defined. You should pass a string or and identifier. If you "
+"pass a matrix, each entry will be evaluated separately and the matrix should "
+"contain strings or identifiers."
+msgstr ""
+
+#: C/genius.xml:166(term)
+msgid "IsFunction"
+msgstr "IsFunction"
+
+#: C/genius.xml:168(synopsis)
+#, no-wrap
+msgid "IsFunction (arg)"
+msgstr "IsFunction (arg)"
+
+#: C/genius.xml:169(para)
+msgid "Check if argument is a function."
+msgstr ""
+
+#: C/genius.xml:174(term)
+msgid "IsFunctionOrIdentifier"
+msgstr "IsFunctionOrIdentifier"
+
+#: C/genius.xml:176(synopsis)
+#, no-wrap
+msgid "IsFunctionOrIdentifier (arg)"
+msgstr "IsFunctionOrIdentifier (arg)"
+
+#: C/genius.xml:177(para)
+msgid "Check if argument is a function or an identifier."
+msgstr ""
+
+#: C/genius.xml:182(term)
+msgid "IsFunctionRef"
+msgstr "IsFunctionRef"
+
+#: C/genius.xml:184(synopsis)
+#, no-wrap
+msgid "IsFunctionRef (arg)"
+msgstr "IsFunctionRef (arg)"
+
+#: C/genius.xml:185(para)
+msgid ""
+"Check if argument is a function reference. This includes variable references."
+msgstr ""
+
+#: C/genius.xml:191(term)
+msgid "IsMatrix"
+msgstr "IsMatrix"
+
+#: C/genius.xml:193(synopsis)
+#, no-wrap
+msgid "IsMatrix (arg)"
+msgstr "IsMatrix (arg)"
+
+#: C/genius.xml:194(para)
+msgid ""
+"Check if argument is a matrix. Even though <constant>null</constant> is "
+"sometimes considered an empty matrix, the function <function>IsMatrix</"
+"function> does not consider <constant>null</constant> a matrix."
+msgstr ""
+
+#: C/genius.xml:201(term)
+msgid "IsNull"
+msgstr "IsNull"
+
+#: C/genius.xml:203(synopsis)
+#, no-wrap
+msgid "IsNull (arg)"
+msgstr "IsNull (arg)"
+
+#: C/genius.xml:204(para)
+msgid "Check if argument is a null."
+msgstr ""
+
+#: C/genius.xml:209(term)
+msgid "IsString"
+msgstr "IsString"
+
+#: C/genius.xml:211(synopsis)
+#, no-wrap
+msgid "IsString (arg)"
+msgstr "IsString (arg)"
+
+#: C/genius.xml:212(para)
+msgid "Check if argument is a text string."
+msgstr ""
+
+#: C/genius.xml:217(term)
+msgid "IsValue"
+msgstr "IsValue"
+
+#: C/genius.xml:219(synopsis)
+#, no-wrap
+msgid "IsValue (arg)"
+msgstr "IsValue (arg)"
+
+#: C/genius.xml:220(para)
+msgid "Check if argument is a number."
+msgstr ""
+
+#: C/genius.xml:225(term)
+msgid "Parse"
+msgstr "Parse"
+
+#: C/genius.xml:227(synopsis)
+#, no-wrap
+msgid "Parse (str)"
+msgstr "Parse (str)"
+
+#: C/genius.xml:228(para)
+msgid ""
+"Parses but does not evaluate a string. Note that certain precomputation is "
+"done during the parsing stage."
+msgstr ""
+
+#: C/genius.xml:234(term)
+msgid "SetFunctionFlags"
+msgstr "SetFunctionFlags"
+
+#: C/genius.xml:236(synopsis)
+#, no-wrap
+msgid "SetFunctionFlags (id,flags...)"
+msgstr "SetFunctionFlags (id,flags...)"
+
+#: C/genius.xml:237(para)
+msgid ""
+"Set flags for a function, currently <literal>\"PropagateMod\"</literal> and "
+"<literal>\"NoModuloArguments\"</literal>. If <literal>\"PropagateMod\"</"
+"literal> is set, then the body of the function is evaluated in modular "
+"arithmetic when the function is called inside a block that was evaluated "
+"using modular arithmetic (using <literal>mod</literal>). If <literal>"
+"\"NoModuloArguments\"</literal>, then the arguments of the function are never "
+"evaluated using modular arithmetic."
+msgstr ""
+
+#: C/genius.xml:246(term)
+msgid "SetHelp"
+msgstr "SetHelp"
+
+#: C/genius.xml:248(synopsis)
+#, no-wrap
+msgid "SetHelp (id,category,desc)"
+msgstr "SetHelp (id,category,desc)"
+
+#: C/genius.xml:249(para)
+msgid "Set the category and help description line for a function."
+msgstr ""
+
+#: C/genius.xml:254(term)
+msgid "SetHelpAlias"
+msgstr "SetHelpAlias"
+
+#: C/genius.xml:256(synopsis)
+#, no-wrap
+msgid "SetHelpAlias (id,alias)"
+msgstr "SetHelpAlias (id,alias)"
+
+#: C/genius.xml:257(para)
+msgid "Sets up a help alias."
+msgstr ""
+
+#: C/genius.xml:262(term)
+msgid "chdir"
+msgstr "chdir"
+
+#: C/genius.xml:264(synopsis)
+#, no-wrap
+msgid "chdir (dir)"
+msgstr "chdir (dir)"
+
+#: C/genius.xml:265(para)
+msgid "Changes current directory, same as the <command>cd</command>."
+msgstr ""
+
+#: C/genius.xml:270(term)
+msgid "display"
+msgstr "display"
+
+#: C/genius.xml:272(synopsis)
+#, no-wrap
+msgid "display (str,expr)"
+msgstr "display (str,expr)"
+
+#: C/genius.xml:273(para)
+msgid "Display a string and an expression with a colon to separate them."
+msgstr ""
+
+#: C/genius.xml:278(term)
+msgid "error"
+msgstr "error"
+
+#: C/genius.xml:280(synopsis)
+#, no-wrap
+msgid "error (str)"
+msgstr "error (str)"
+
+#: C/genius.xml:281(para)
+msgid "Prints a string to the error stream (onto the console)."
+msgstr ""
+
+#: C/genius.xml:286(term) C/genius.xml:288(synopsis)
+msgid "exit"
+msgstr "exit"
+
+#: C/genius.xml:289(para)
+msgid "Aliases: <function>quit</function>"
+msgstr "Aliase: <function>quit</function>"
+
+#: C/genius.xml:290(para)
+msgid "Exits the program."
+msgstr "Beendet das Programm."
+
+#: C/genius.xml:295(term) C/genius.xml:297(synopsis)
+msgid "false"
+msgstr "false"
+
+#: C/genius.xml:298(para)
+msgid "Aliases: <function>False</function><function>FALSE</function>"
+msgstr ""
+
+#: C/genius.xml:299(para)
+msgid "The false boolean value."
+msgstr ""
+
+#: C/genius.xml:304(term) C/genius.xml:306(synopsis)
+msgid "manual"
+msgstr "manual"
+
+#: C/genius.xml:307(para)
+msgid "Displays the user manual."
+msgstr "Zeigt das Benutzerhandbuch an."
+
+#: C/genius.xml:312(term)
+msgid "print"
+msgstr "print"
+
+#: C/genius.xml:314(synopsis)
+#, no-wrap
+msgid "print (str)"
+msgstr "print (str)"
+
+#: C/genius.xml:315(para)
+msgid ""
+"Prints an expression and then print a newline. The argument <varname>str</"
+"varname> can be any expression. It is made into a string before being printed."
+msgstr ""
+
+#: C/genius.xml:321(term)
+msgid "printn"
+msgstr "printn"
+
+#: C/genius.xml:323(synopsis)
+#, no-wrap
+msgid "printn (str)"
+msgstr "printn (str)"
+
+#: C/genius.xml:324(para)
+msgid ""
+"Prints an expression without a trailing newline. The argument <varname>str</"
+"varname> can be any expression. It is made into a string before being printed."
+msgstr ""
+
+#: C/genius.xml:330(term)
+msgid "protect"
+msgstr "protect"
+
+#: C/genius.xml:332(synopsis)
+#, no-wrap
+msgid "protect (id)"
+msgstr "protect (id)"
+
+#: C/genius.xml:333(para)
+msgid ""
+"Protect a variable from being modified. This is used on the internal GEL "
+"functions to avoid them being accidentally overridden."
+msgstr ""
+
+#: C/genius.xml:339(term)
+msgid "set"
+msgstr "set"
+
+#: C/genius.xml:341(synopsis)
+#, no-wrap
+msgid "set (id,val)"
+msgstr "set (id,val)"
+
+#: C/genius.xml:345(programlisting)
+#, no-wrap
+msgid ""
+"set(`x,1)\n"
+"\t    "
+msgstr ""
+"set(`x,1)\n"
+"\t    "
+
+#: C/genius.xml:342(para)
+msgid ""
+"Set a global variable. The <varname>id</varname> can be either a string or a "
+"quoted identifier as follows. For example: <placeholder-1/> will set the "
+"global variable <varname>x</varname> to the value 1."
+msgstr ""
+
+#: C/genius.xml:353(term)
+msgid "string"
+msgstr "string"
+
+#: C/genius.xml:355(synopsis)
+#, no-wrap
+msgid "string (s)"
+msgstr "string (s)"
+
+#: C/genius.xml:356(para)
+msgid "Make a string. This will make a string out of any argument."
+msgstr ""
+
+#: C/genius.xml:361(term) C/genius.xml:363(synopsis)
+msgid "true"
+msgstr "true"
+
+#: C/genius.xml:364(para)
+msgid "Aliases: <function>True</function><function>TRUE</function>"
+msgstr ""
+
+#: C/genius.xml:365(para)
+msgid "The true boolean value."
+msgstr ""
+
+#: C/genius.xml:370(term)
+msgid "undefine"
+msgstr "undefine"
+
+#: C/genius.xml:372(synopsis)
+#, no-wrap
+msgid "undefine (id)"
+msgstr "undefine (id)"
+
+#: C/genius.xml:373(para)
+msgid ""
+"Undefine a variable. This includes locals and globals, every value on all "
+"context levels is wiped. This function should really not be used on local "
+"variables."
+msgstr ""
+
+#: C/genius.xml:380(term)
+msgid "unprotect"
+msgstr "unprotect"
+
+#: C/genius.xml:382(synopsis)
+#, no-wrap
+msgid "unprotect (id)"
+msgstr "unprotect (id)"
+
+#: C/genius.xml:383(para)
+msgid "Unprotect a variable from being modified."
+msgstr ""
+
+#: C/genius.xml:388(term)
+msgid "wait"
+msgstr "wait"
+
+#: C/genius.xml:390(synopsis)
+#, no-wrap
+msgid "wait (secs)"
+msgstr "wait (secs)"
+
+#: C/genius.xml:391(para)
+msgid ""
+"Waits a specified number of seconds. <varname>secs</varname> must be "
+"nonnegative. Zero is accepted and nothing happens in this case, except "
+"possibly user interface events are processed."
+msgstr ""
+
+#: C/genius.xml:398(term) C/genius.xml:400(synopsis)
+msgid "version"
+msgstr "version"
+
+#: C/genius.xml:401(para)
+msgid ""
+"Returns the version of Genius as a horizontal 3-vector with major version "
+"first, then minor version and finally patchlevel."
+msgstr ""
+
+#: C/genius.xml:407(term) C/genius.xml:409(synopsis)
+msgid "warranty"
+msgstr "warranty"
+
+#: C/genius.xml:410(para)
+msgid "Gives the warranty information."
+msgstr ""
+
+#: C/genius.xml:418(title)
+msgid "Parameters"
+msgstr "Parameter"
+
+#: C/genius.xml:421(term)
+msgid "ChopTolerance"
+msgstr "ChopTolerance"
+
+#: C/genius.xml:423(synopsis)
+#, no-wrap
+msgid "ChopTolerance = number"
+msgstr "ChopTolerance = Zahl"
+
+#: C/genius.xml:424(para)
+msgid "Tolerance of the <function>Chop</function> function."
+msgstr ""
+
+#: C/genius.xml:429(term)
+msgid "ContinuousNumberOfTries"
+msgstr "ContinuousNumberOfTries"
+
+#: C/genius.xml:431(synopsis)
+#, no-wrap
+msgid "ContinuousNumberOfTries = number"
+msgstr "ContinuousNumberOfTries = Zahl"
+
+#: C/genius.xml:432(para)
+msgid "How many iterations to try to find the limit for continuity and limits."
+msgstr ""
+
+#: C/genius.xml:437(term)
+msgid "ContinuousSFS"
+msgstr "ContinuousSFS"
+
+#: C/genius.xml:439(synopsis)
+#, no-wrap
+msgid "ContinuousSFS = number"
+msgstr "ContinuousSFS = Zahl"
+
+#: C/genius.xml:440(para)
+msgid ""
+"How many successive steps to be within tolerance for calculation of "
+"continuity."
+msgstr ""
+
+#: C/genius.xml:445(term)
+msgid "ContinuousTolerance"
+msgstr "ContinuousTolerance"
+
+#: C/genius.xml:447(synopsis)
+#, no-wrap
+msgid "ContinuousTolerance = number"
+msgstr "ContinuousTolerance = Zahl"
+
+#: C/genius.xml:448(para)
+msgid "Tolerance for continuity of functions and for calculating the limit."
+msgstr ""
+
+#: C/genius.xml:453(term)
+msgid "DerivativeNumberOfTries"
+msgstr "DerivativeNumberOfTries"
+
+#: C/genius.xml:455(synopsis)
+#, no-wrap
+msgid "DerivativeNumberOfTries = number"
+msgstr "DerivativeNumberOfTries = Zahl"
+
+#: C/genius.xml:456(para)
+msgid "How many iterations to try to find the limit for derivative."
+msgstr ""
+
+#: C/genius.xml:461(term)
+msgid "DerivativeSFS"
+msgstr "DerivativeSFS"
+
+#: C/genius.xml:463(synopsis)
+#, no-wrap
+msgid "DerivativeSFS = number"
+msgstr "DerivativeSFS = Zahl"
+
+#: C/genius.xml:464(para)
+msgid ""
+"How many successive steps to be within tolerance for calculation of "
+"derivative."
+msgstr ""
+
+#: C/genius.xml:469(term)
+msgid "DerivativeTolerance"
+msgstr "DerivativeTolerance"
+
+#: C/genius.xml:471(synopsis)
+#, no-wrap
+msgid "DerivativeTolerance = number"
+msgstr "DerivativeTolerance = Zahl"
+
+#: C/genius.xml:472(para)
+msgid "Tolerance for calculating the derivatives of functions."
+msgstr ""
+
+#: C/genius.xml:477(term)
+msgid "ErrorFunctionTolerance"
+msgstr "ErrorFunctionTolerance"
+
+#: C/genius.xml:479(synopsis)
+#, no-wrap
+msgid "ErrorFunctionTolerance = number"
+msgstr "ErrorFunctionTolerance = Zahl"
+
+#: C/genius.xml:480(para)
+msgid "Tolerance of the <function>ErrorFunction</function>."
+msgstr ""
+
+#: C/genius.xml:485(term)
+msgid "FloatPrecision"
+msgstr "FloatPrecision"
+
+#: C/genius.xml:487(synopsis)
+#, no-wrap
+msgid "FloatPrecision = number"
+msgstr "FloatPrecision = Zahl"
+
+#: C/genius.xml:488(para)
+msgid "Floating point precision."
+msgstr ""
+
+#: C/genius.xml:493(term)
+msgid "FullExpressions"
+msgstr "FullExpressions"
+
+#: C/genius.xml:495(synopsis)
+#, no-wrap
+msgid "FullExpressions = boolean"
+msgstr ""
+
+#: C/genius.xml:496(para)
+msgid "Print full expressions, even if more than a line."
+msgstr ""
+
+#: C/genius.xml:501(term)
+msgid "GaussDistributionTolerance"
+msgstr "GaussDistributionTolerance"
+
+#: C/genius.xml:503(synopsis)
+#, no-wrap
+msgid "GaussDistributionTolerance = number"
+msgstr "GaussDistributionTolerance = Zahl"
+
+#: C/genius.xml:504(para)
+msgid "Tolerance of the <function>GaussDistribution</function> function."
+msgstr ""
+
+#: C/genius.xml:509(term) C/genius.xml:2666(function)
+msgid "IntegerOutputBase"
+msgstr "IntegerOutputBase"
+
+#: C/genius.xml:511(synopsis)
+#, no-wrap
+msgid "IntegerOutputBase = number"
+msgstr "IntegerOutputBase = Zahl"
+
+#: C/genius.xml:512(para)
+msgid "Integer output base."
+msgstr ""
+
+#: C/genius.xml:517(term)
+msgid "IsPrimeMillerRabinReps"
+msgstr "IsPrimeMillerRabinReps"
+
+#: C/genius.xml:519(synopsis)
+#, no-wrap
+msgid "IsPrimeMillerRabinReps = number"
+msgstr "IsPrimeMillerRabinReps = Zahl"
+
+#: C/genius.xml:520(para)
+msgid ""
+"Number of extra Miller-Rabin tests to run on a number before declaring it a "
+"prime in <function>IsPrime</function>."
+msgstr ""
+
+#: C/genius.xml:525(term)
+msgid "LinePlotWindow"
+msgstr "LinePlotWindow"
+
+#: C/genius.xml:527(synopsis)
+#, no-wrap
+msgid "LinePlotWindow = [x1,x2,y1,y2]"
+msgstr "LinePlotWindow = [x1,x2,y1,y2]"
+
+#: C/genius.xml:528(para)
+msgid ""
+"Sets the limits for <link linkend=\"genius-gel-function-list-plotting\">line "
+"plotting functions</link> such as <link linkend=\"gel-function-LinePlot"
+"\"><function>LinePlot</function></link>."
+msgstr ""
+
+#: C/genius.xml:535(term)
+msgid "LinePlotDrawLegends"
+msgstr "LinePlotDrawLegends"
+
+#: C/genius.xml:537(synopsis)
+#, no-wrap
+msgid "LinePlotDrawLegends = true"
+msgstr "LinePlotDrawLegends = true"
+
+#: C/genius.xml:538(para)
+msgid ""
+"Tells genius to draw the legends for <link linkend=\"genius-gel-function-list-"
+"plotting\">line plotting functions</link> such as <link linkend=\"gel-"
+"function-LinePlot\"><function>LinePlot</function></link>."
+msgstr ""
+
+#: C/genius.xml:545(term)
+msgid "MaxDigits"
+msgstr "MaxDigits"
+
+#: C/genius.xml:547(synopsis)
+#, no-wrap
+msgid "MaxDigits = number"
+msgstr "MaxDigits = Zahl"
+
+#: C/genius.xml:548(para)
+msgid "Maximum digits to display."
+msgstr ""
+
+#: C/genius.xml:553(term)
+msgid "MaxErrors"
+msgstr "MaxErrors"
+
+#: C/genius.xml:555(synopsis)
+#, no-wrap
+msgid "MaxErrors = number"
+msgstr "MaxErrors = Zahl"
+
+#: C/genius.xml:556(para)
+msgid "Maximum errors to display."
+msgstr ""
+
+#: C/genius.xml:561(term)
+msgid "MixedFractions"
+msgstr "MixedFractions"
+
+#: C/genius.xml:563(synopsis)
+#, no-wrap
+msgid "MixedFractions = boolean"
+msgstr ""
+
+#: C/genius.xml:564(para)
+msgid "If true, mixed fractions are printed."
+msgstr ""
+
+#: C/genius.xml:569(term)
+msgid "NumericalIntegralFunction"
+msgstr "NumericalIntegralFunction"
+
+#: C/genius.xml:571(synopsis)
+#, no-wrap
+msgid "NumericalIntegralFunction = function"
+msgstr "NumericalIntegralFunction = Funktion"
+
+#: C/genius.xml:572(para)
+msgid ""
+"The function used for numerical integration in <function>NumericalIntegral</"
+"function>."
+msgstr ""
+
+#: C/genius.xml:577(term)
+msgid "NumericalIntegralSteps"
+msgstr "NumericalIntegralSteps"
+
+#: C/genius.xml:579(synopsis)
+#, no-wrap
+msgid "NumericalIntegralSteps = number"
+msgstr "NumericalIntegralSteps = Zahl"
+
+#: C/genius.xml:580(para)
+msgid "Steps to perform in <function>NumericalIntegral</function>."
+msgstr ""
+
+#: C/genius.xml:585(term)
+msgid "OutputChopExponent"
+msgstr "OutputChopExponent"
+
+#: C/genius.xml:587(synopsis)
+#, no-wrap
+msgid "OutputChopExponent = number"
+msgstr "OutputChopExponent = Zahl"
+
+#: C/genius.xml:588(para)
+msgid ""
+"When another number in the object being printed (a matrix or a value) is "
+"greater than 10<superscript>-OutputChopWhenExponent</superscript>, and the "
+"number being printed is less than 10<superscript>-OutputChopExponent</"
+"superscript>, then display <computeroutput>0.0</computeroutput> instead of "
+"the number."
+msgstr ""
+
+#: C/genius.xml:595(para)
+msgid ""
+"Output is never chopped if <function>OutputChopExponent</function> is zero. "
+"It must be a nonnegative integer."
+msgstr ""
+
+#: C/genius.xml:599(para)
+msgid ""
+"If you want output always chopped according to <function>OutputChopExponent</"
+"function>, then set <function>OutputChopWhenExponent</function>, to something "
+"greater than or equal to <function>OutputChopExponent</function>."
+msgstr ""
+
+#: C/genius.xml:610(term)
+msgid "OutputChopWhenExponent"
+msgstr "OutputChopWhenExponent"
+
+#: C/genius.xml:612(synopsis)
+#, no-wrap
+msgid "OutputChopWhenExponent = number"
+msgstr "OutputChopWhenExponent = Zahl"
+
+#: C/genius.xml:613(para)
+msgid ""
+"When to chop output. See <link linkend=\"gel-function-OutputChopExponent"
+"\"><function>OutputChopExponent</function></link>."
+msgstr ""
+
+#: C/genius.xml:620(term) C/genius.xml:2675(function)
+msgid "OutputStyle"
+msgstr "OutputStyle"
+
+#: C/genius.xml:622(synopsis)
+#, no-wrap
+msgid "OutputStyle = string"
+msgstr "OutputStyle = String"
+
+#: C/genius.xml:623(para)
+msgid ""
+"Output style, this can be <literal>normal</literal>, <literal>latex</"
+"literal>, <literal>mathml</literal> or <literal>troff</literal>."
+msgstr ""
+
+#: C/genius.xml:630(programlisting)
+#, no-wrap
+msgid "OutputStyle = \"latex\"\n"
+msgstr ""
+
+#: C/genius.xml:626(para)
+msgid ""
+"This affects mostly how matrices and fractions are printed out and is useful "
+"for pasting into documents. For example you can set this to the latex by: "
+"<placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:637(term)
+msgid "ResultsAsFloats"
+msgstr "ResultsAsFloats"
+
+#: C/genius.xml:639(synopsis)
+#, no-wrap
+msgid "ResultsAsFloats = boolean"
+msgstr ""
+
+#: C/genius.xml:640(para)
+msgid "Convert all results to floats before printing."
+msgstr ""
+
+#: C/genius.xml:645(term)
+msgid "ScientificNotation"
+msgstr "ScientificNotation"
+
+#: C/genius.xml:647(synopsis)
+#, no-wrap
+msgid "ScientificNotation = boolean"
+msgstr ""
+
+#: C/genius.xml:648(para)
+msgid "Use scientific notation."
+msgstr ""
+
+#: C/genius.xml:653(term)
+msgid "SumProductNumberOfTries"
+msgstr "SumProductNumberOfTries"
+
+#: C/genius.xml:655(synopsis)
+#, no-wrap
+msgid "SumProductNumberOfTries = number"
+msgstr "SumProductNumberOfTries = Zahl"
+
+#: C/genius.xml:656(para)
+msgid ""
+"How many iterations to try for <function>InfiniteSum</function> and "
+"<function>InfiniteProduct</function>."
+msgstr ""
+
+#: C/genius.xml:661(term)
+msgid "SumProductSFS"
+msgstr "SumProductSFS"
+
+#: C/genius.xml:663(synopsis)
+#, no-wrap
+msgid "SumProductSFS = number"
+msgstr "SumProductSFS = Zahl"
+
+#: C/genius.xml:664(para)
+msgid ""
+"How many successive steps to be within tolerance for <function>InfiniteSum</"
+"function> and <function>InfiniteProduct</function>."
+msgstr ""
+
+#: C/genius.xml:669(term)
+msgid "SumProductTolerance"
+msgstr "SumProductTolerance"
+
+#: C/genius.xml:671(synopsis)
+#, no-wrap
+msgid "SumProductTolerance = number"
+msgstr "SumProductTolerance = Zahl"
+
+#: C/genius.xml:672(para)
+msgid ""
+"Tolerance for <function>InfiniteSum</function> and <function>InfiniteProduct</"
+"function>."
+msgstr ""
+
+#: C/genius.xml:677(term)
+msgid "SurfacePlotWindow"
+msgstr "SurfacePlotWindow"
+
+#: C/genius.xml:679(synopsis)
+#, no-wrap
+msgid "SurfacePlotWindow = [x1,x2,y1,y2,z1,z2]"
+msgstr "SurfacePlotWindow = [x1,x2,y1,y2,z1,z2]"
+
+#: C/genius.xml:680(para)
+msgid ""
+"Sets the limits for surface plotting (See <link linkend=\"gel-function-"
+"SurfacePlot\"><function>SurfacePlot</function></link>)."
+msgstr ""
+
+#: C/genius.xml:685(term)
+msgid "VectorfieldNormalized"
+msgstr "VectorfieldNormalized"
+
+#: C/genius.xml:687(synopsis)
+#, no-wrap
+msgid "VectorfieldNormalized = true"
+msgstr "VectorfieldNormalized = true"
+
+#: C/genius.xml:688(para)
+msgid ""
+"Should the vectorfield plotting have normalized arrow length. If true, vector "
+"fields will only show direction and not magnitude. (See <link linkend=\"gel-"
+"function-VectorfieldPlot\"><function>VectorfieldPlot</function></link>)."
+msgstr ""
+
+#: C/genius.xml:698(title)
+msgid "Constants"
+msgstr "Konstanten"
+
+#: C/genius.xml:701(term) C/genius.xml:703(synopsis)
+msgid "CatalanConstant"
+msgstr "CatalanConstant"
+
+#: C/genius.xml:704(para)
+msgid ""
+"Catalan's Constant, approximately 0.915... It is defined to be the series "
+"where terms are <userinput>(-1^k)/((2*k+1)^2)</userinput>, where <varname>k</"
+"varname> ranges from 0 to infinity."
+msgstr ""
+
+#: C/genius.xml:707(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/CatalansConstant.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:715(term) C/genius.xml:717(synopsis)
+msgid "EulerConstant"
+msgstr "EulerConstant"
+
+#: C/genius.xml:718(para)
+msgid "Aliases: <function>gamma</function>"
+msgstr "Aliase: <function>gamma</function>"
+
+#: C/genius.xml:719(para)
+msgid "Euler's Constant gamma. Sometimes called the Euler-Mascheroni constant."
+msgstr ""
+
+#: C/genius.xml:723(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/MascheroniConstant.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/Euler-";
+"MascheroniConstant.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:732(term) C/genius.xml:734(synopsis)
+msgid "GoldenRatio"
+msgstr "GoldenRatio"
+
+#: C/genius.xml:735(para)
+msgid "The Golden Ratio."
+msgstr "Der »Goldene Schnitt«."
+
+#: C/genius.xml:736(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/GoldenRatio.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"GoldenRatio.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:745(term) C/genius.xml:747(synopsis)
+msgid "Gravity"
+msgstr "Gravity"
+
+#: C/genius.xml:748(para)
+msgid "Free fall acceleration."
+msgstr "Beschleunigung im freien Fall."
+
+#: C/genius.xml:753(term) C/genius.xml:755(synopsis)
+msgid "e"
+msgstr "e"
+
+#: C/genius.xml:756(para)
+msgid ""
+"The base of the natural logarithm. <userinput>e^x</userinput> is the "
+"exponential function <link linkend=\"gel-function-exp\"><function>exp</"
+"function></link>. This is the number approximately 2.71828182846..."
+msgstr ""
+
+#: C/genius.xml:762(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/E.html\";>Planetmath</"
+"ulink> or <ulink url=\"http://mathworld.wolfram.com/e.html\";>Mathworld</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:771(term) C/genius.xml:773(synopsis)
+msgid "pi"
+msgstr "pi"
+
+#: C/genius.xml:774(para)
+msgid ""
+"The number pi, that is the ratio of a circle's circumference to its diameter. "
+"This is approximately 3.14159265359..."
+msgstr ""
+
+#: C/genius.xml:778(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Pi.html\";>Planetmath</"
+"ulink> or <ulink url=\"http://mathworld.wolfram.com/Pi.html\";>Mathworld</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:790(title)
+msgid "Numeric"
+msgstr ""
+
+#: C/genius.xml:793(term)
+msgid "AbsoluteValue"
+msgstr "AbsoluteValue"
+
+#: C/genius.xml:795(synopsis)
+#, no-wrap
+msgid "AbsoluteValue (x)"
+msgstr "AbsoluteValue (x)"
+
+#: C/genius.xml:796(para)
+msgid "Aliases: <function>abs</function>"
+msgstr ""
+
+#: C/genius.xml:797(para)
+msgid ""
+"Absolute value of a number and if <varname>x</varname> is a complex value the "
+"modulus of <varname>x</varname>. I.e. this the distance of <varname>x</"
+"varname> to the origin."
+msgstr ""
+
+#: C/genius.xml:802(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/AbsoluteValue.html";
+"\">Planetmath (absolute value)</ulink>, <ulink url=\"http://planetmath.org/";
+"encyclopedia/ModulusOfComplexNumber.html\">Planetmath (modulus)</ulink>, "
+"<ulink url=\"http://mathworld.wolfram.com/AbsoluteValue.html\";>Mathworld "
+"(absolute value)</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"ComplexModulus.html\">Mathworld (complex modulus)</ulink> for more "
+"information."
+msgstr ""
+
+#: C/genius.xml:814(term)
+msgid "Chop"
+msgstr "Chop"
+
+#: C/genius.xml:816(synopsis)
+#, no-wrap
+msgid "Chop (x)"
+msgstr "Chop (x)"
+
+#: C/genius.xml:817(para)
+msgid "Replace very small number with zero."
+msgstr "Ersetzung sehr kleiner Zahlen durch Null."
+
+#: C/genius.xml:822(term)
+msgid "ComplexConjugate"
+msgstr "ComplexConjugate"
+
+#: C/genius.xml:824(synopsis)
+#, no-wrap
+msgid "ComplexConjugate (M)"
+msgstr "ComplexConjugate (M)"
+
+#: C/genius.xml:825(para)
+msgid "Aliases: <function>conj</function><function>Conj</function>"
+msgstr ""
+
+#: C/genius.xml:826(para)
+msgid "Calculates the conjugate."
+msgstr ""
+
+#: C/genius.xml:831(term)
+msgid "Denominator"
+msgstr "Denominator"
+
+#: C/genius.xml:833(synopsis)
+#, no-wrap
+msgid "Denominator (x)"
+msgstr "Denominator (x)"
+
+#: C/genius.xml:834(para)
+msgid "Get the denominator of a rational number."
+msgstr ""
+
+#: C/genius.xml:839(term)
+msgid "FractionalPart"
+msgstr "FractionalPart"
+
+#: C/genius.xml:841(synopsis)
+#, no-wrap
+msgid "FractionalPart (x)"
+msgstr "FractionalPart (x)"
+
+#: C/genius.xml:842(para)
+msgid "Return the fractional part of a number."
+msgstr ""
+
+#: C/genius.xml:847(term)
+msgid "Im"
+msgstr "Im"
+
+#: C/genius.xml:849(synopsis)
+#, no-wrap
+msgid "Im (z)"
+msgstr "Im (z)"
+
+#: C/genius.xml:850(para)
+msgid "Aliases: <function>ImaginaryPart</function>"
+msgstr ""
+
+#: C/genius.xml:851(para)
+msgid "Get the imaginary part of a complex number."
+msgstr ""
+
+#: C/genius.xml:856(term)
+msgid "IntegerQuotient"
+msgstr "IntegerQuotient"
+
+#: C/genius.xml:858(synopsis)
+#, no-wrap
+msgid "IntegerQuotient (m,n)"
+msgstr "IntegerQuotient (m,n)"
+
+#: C/genius.xml:859(para)
+msgid "Division without remainder."
+msgstr "Division ohne Rest."
+
+#: C/genius.xml:864(term)
+msgid "IsComplex"
+msgstr "IsComplex"
+
+#: C/genius.xml:866(synopsis)
+#, no-wrap
+msgid "IsComplex (num)"
+msgstr "IsComplex (num)"
+
+#: C/genius.xml:867(para)
+msgid "Check if argument is a complex (non-real) number."
+msgstr ""
+
+#: C/genius.xml:872(term)
+msgid "IsComplexRational"
+msgstr "IsComplexRational"
+
+#: C/genius.xml:874(synopsis)
+#, no-wrap
+msgid "IsComplexRational (num)"
+msgstr "IsComplexRational (num)"
+
+#: C/genius.xml:875(para)
+msgid "Check if argument is a possibly complex rational number."
+msgstr ""
+
+#: C/genius.xml:880(term)
+msgid "IsFloat"
+msgstr "IsFloat"
+
+#: C/genius.xml:882(synopsis)
+#, no-wrap
+msgid "IsFloat (num)"
+msgstr "IsFloat (num)"
+
+#: C/genius.xml:883(para)
+msgid "Check if argument is a floating point number (non-complex)."
+msgstr ""
+
+#: C/genius.xml:888(term)
+msgid "IsGaussInteger"
+msgstr "IsGaussInteger"
+
+#: C/genius.xml:890(synopsis)
+#, no-wrap
+msgid "IsGaussInteger (num)"
+msgstr "IsGaussInteger (num)"
+
+#: C/genius.xml:891(para)
+msgid "Aliases: <function>IsComplexInteger</function>"
+msgstr ""
+
+#: C/genius.xml:892(para)
+msgid "Check if argument is a possibly complex integer."
+msgstr ""
+
+#: C/genius.xml:897(term)
+msgid "IsInteger"
+msgstr "IsInteger"
+
+#: C/genius.xml:899(synopsis)
+#, no-wrap
+msgid "IsInteger (num)"
+msgstr "IsInteger (num)"
+
+#: C/genius.xml:900(para)
+msgid "Check if argument is an integer (non-complex)."
+msgstr ""
+
+#: C/genius.xml:905(term)
+msgid "IsNonNegativeInteger"
+msgstr "IsNonNegativeInteger"
+
+#: C/genius.xml:907(synopsis)
+#, no-wrap
+msgid "IsNonNegativeInteger (num)"
+msgstr "IsNonNegativeInteger (num)"
+
+#: C/genius.xml:908(para)
+msgid "Check if argument is a non-negative real integer."
+msgstr ""
+
+#: C/genius.xml:913(term)
+msgid "IsPositiveInteger"
+msgstr "IsPositiveInteger"
+
+#: C/genius.xml:915(synopsis)
+#, no-wrap
+msgid "IsPositiveInteger (num)"
+msgstr "IsPositiveInteger (num)"
+
+#: C/genius.xml:916(para)
+msgid "Aliases: <function>IsNaturalNumber</function>"
+msgstr ""
+
+#: C/genius.xml:917(para)
+msgid ""
+"Check if argument is a positive real integer. Note that we accept the "
+"convention that 0 is not a natural number."
+msgstr ""
+
+#: C/genius.xml:923(term)
+msgid "IsRational"
+msgstr "IsRational"
+
+#: C/genius.xml:925(synopsis)
+#, no-wrap
+msgid "IsRational (num)"
+msgstr "IsRational (num)"
+
+#: C/genius.xml:926(para)
+msgid "Check if argument is a rational number (non-complex)."
+msgstr ""
+
+#: C/genius.xml:931(term)
+msgid "IsReal"
+msgstr "IsReal"
+
+#: C/genius.xml:933(synopsis)
+#, no-wrap
+msgid "IsReal (num)"
+msgstr "IsReal (num)"
+
+#: C/genius.xml:934(para)
+msgid "Check if argument is a real number."
+msgstr ""
+
+#: C/genius.xml:939(term)
+msgid "Numerator"
+msgstr "Numerator"
+
+#: C/genius.xml:941(synopsis)
+#, no-wrap
+msgid "Numerator (x)"
+msgstr "Numerator (x)"
+
+#: C/genius.xml:942(para)
+msgid "Get the numerator of a rational number."
+msgstr ""
+
+#: C/genius.xml:947(term)
+msgid "Re"
+msgstr "Re"
+
+#: C/genius.xml:949(synopsis)
+#, no-wrap
+msgid "Re (z)"
+msgstr "Re (z)"
+
+#: C/genius.xml:950(para)
+msgid "Aliases: <function>RealPart</function>"
+msgstr ""
+
+#: C/genius.xml:951(para)
+msgid "Get the real part of a complex number."
+msgstr ""
+
+#: C/genius.xml:956(term)
+msgid "Sign"
+msgstr "Sign"
+
+#: C/genius.xml:958(synopsis)
+#, no-wrap
+msgid "Sign (x)"
+msgstr "Sign (x)"
+
+#: C/genius.xml:959(para)
+msgid "Aliases: <function>sign</function>"
+msgstr ""
+
+#: C/genius.xml:960(para)
+msgid ""
+"Return the sign of a number. That is returns <literal>-1</literal> if value "
+"is negative, <literal>0</literal> if value is zero and <literal>1</literal> "
+"if value is positive. If <varname>x</varname> is a complex value then "
+"<function>Sign</function> returns the direction or 0."
+msgstr ""
+
+#: C/genius.xml:970(term)
+msgid "ceil"
+msgstr "ceil"
+
+#: C/genius.xml:972(synopsis)
+#, no-wrap
+msgid "ceil (x)"
+msgstr "ceil (x)"
+
+#: C/genius.xml:973(para)
+msgid "Aliases: <function>Ceiling</function>"
+msgstr ""
+
+#: C/genius.xml:974(para)
+msgid "Get the lowest integer more than or equal to n."
+msgstr ""
+
+#: C/genius.xml:979(term)
+msgid "exp"
+msgstr "exp"
+
+#: C/genius.xml:981(synopsis)
+#, no-wrap
+msgid "exp (x)"
+msgstr "exp (x)"
+
+#: C/genius.xml:982(para)
+msgid ""
+"The exponential function. This is the function <userinput>e^x</userinput> "
+"where <varname>e</varname> is the <link linkend=\"gel-function-e\">base of "
+"the natural logarithm</link>."
+msgstr ""
+
+#: C/genius.xml:988(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/LogarithmFunction.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"ExponentialFunction.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:997(term)
+msgid "float"
+msgstr "float"
+
+#: C/genius.xml:999(synopsis)
+#, no-wrap
+msgid "float (x)"
+msgstr "float (x)"
+
+#: C/genius.xml:1000(para)
+msgid ""
+"Make number a floating point value. That is returns the floating point "
+"representation of the number <varname>x</varname>."
+msgstr ""
+
+#: C/genius.xml:1005(term)
+msgid "floor"
+msgstr "floor"
+
+#: C/genius.xml:1007(synopsis)
+#, no-wrap
+msgid "floor (x)"
+msgstr "floor (x)"
+
+#: C/genius.xml:1008(para)
+msgid "Aliases: <function>Floor</function>"
+msgstr ""
+
+#: C/genius.xml:1009(para)
+msgid "Get the highest integer less than or equal to <varname>n</varname>."
+msgstr ""
+
+#: C/genius.xml:1014(term)
+msgid "ln"
+msgstr "ln"
+
+#: C/genius.xml:1016(synopsis)
+#, no-wrap
+msgid "ln (x)"
+msgstr "ln (x)"
+
+#: C/genius.xml:1017(para)
+msgid "The natural logarithm, the logarithm to base <varname>e</varname>."
+msgstr ""
+
+#: C/genius.xml:1022(term)
+msgid "log"
+msgstr "log"
+
+#: C/genius.xml:1024(synopsis)
+#, no-wrap
+msgid "log (x)"
+msgstr "log (x)"
+
+#: C/genius.xml:1025(synopsis)
+#, no-wrap
+msgid "log (x,b)"
+msgstr "log (x,b)"
+
+#: C/genius.xml:1026(para)
+msgid ""
+"Logarithm of <varname>x</varname> base <varname>b</varname> (calls "
+"<function>DiscreteLog</function> if in modulo mode), if base is not given, "
+"<varname>e</varname> is used."
+msgstr ""
+
+#: C/genius.xml:1031(term)
+msgid "log10"
+msgstr "log10"
+
+#: C/genius.xml:1033(synopsis)
+#, no-wrap
+msgid "log10 (x)"
+msgstr "log10 (x)"
+
+#: C/genius.xml:1034(para)
+msgid "Logarithm of <varname>x</varname> base 10."
+msgstr ""
+
+#: C/genius.xml:1039(term)
+msgid "log2"
+msgstr "log2"
+
+#: C/genius.xml:1041(synopsis)
+#, no-wrap
+msgid "log2 (x)"
+msgstr "log2 (x)"
+
+#: C/genius.xml:1042(para)
+msgid "Aliases: <function>lg</function>"
+msgstr ""
+
+#: C/genius.xml:1043(para)
+msgid "Logarithm of <varname>x</varname> base 2."
+msgstr ""
+
+#: C/genius.xml:1048(term)
+msgid "max"
+msgstr "max"
+
+#: C/genius.xml:1050(synopsis)
+#, no-wrap
+msgid "max (a,args...)"
+msgstr "max (a,args...)"
+
+#: C/genius.xml:1051(para)
+msgid "Aliases: <function>Max</function><function>Maximum</function>"
+msgstr ""
+
+#: C/genius.xml:1052(para)
+msgid "Returns the maximum of arguments or matrix."
+msgstr ""
+
+#: C/genius.xml:1057(term)
+msgid "min"
+msgstr "min"
+
+#: C/genius.xml:1059(synopsis)
+#, no-wrap
+msgid "min (a,args...)"
+msgstr "min (a,args...)"
+
+#: C/genius.xml:1060(para)
+msgid "Aliases: <function>Min</function><function>Minimum</function>"
+msgstr ""
+
+#: C/genius.xml:1061(para)
+msgid "Returns the minimum of arguments or matrix."
+msgstr ""
+
+#: C/genius.xml:1066(term)
+msgid "rand"
+msgstr "rand"
+
+#: C/genius.xml:1068(synopsis)
+#, no-wrap
+msgid "rand (size...)"
+msgstr "rand (size...)"
+
+#: C/genius.xml:1069(para)
+msgid ""
+"Generate random float in the range <literal>[0,1)</literal>. If size is given "
+"then a matrix (if two numbers are specified) or vector (if one number is "
+"specified) of the given size returned."
+msgstr ""
+
+#: C/genius.xml:1076(term)
+msgid "randint"
+msgstr "randint"
+
+#: C/genius.xml:1078(synopsis)
+#, no-wrap
+msgid "randint (max,size...)"
+msgstr "randint (max,size...)"
+
+#: C/genius.xml:1079(para)
+msgid ""
+"Generate random integer in the range <literal>[0,max)</literal>. If size is "
+"given then a matrix (if two numbers are specified) or vector (if one number "
+"is specified) of the given size returned. For example "
+"<screen><prompt>genius&gt;</prompt> <userinput>randint(4)</userinput>\n"
+"= 3\n"
+"<prompt>genius&gt;</prompt> <userinput>randint(4,2)</userinput>\n"
+"=\n"
+"[0      1]\n"
+"<prompt>genius&gt;</prompt> <userinput>randint(4,2,3)</userinput>\n"
+"=\n"
+"[2      2       1\n"
+" 0      0       3]\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:1098(term)
+msgid "round"
+msgstr "round"
+
+#: C/genius.xml:1100(synopsis)
+#, no-wrap
+msgid "round (x)"
+msgstr "round (x)"
+
+#: C/genius.xml:1101(para)
+msgid "Aliases: <function>Round</function>"
+msgstr ""
+
+#: C/genius.xml:1102(para)
+msgid "Round a number."
+msgstr ""
+
+#: C/genius.xml:1107(term)
+msgid "sqrt"
+msgstr "sqrt"
+
+#: C/genius.xml:1109(synopsis)
+#, no-wrap
+msgid "sqrt (x)"
+msgstr "sqrt (x)"
+
+#: C/genius.xml:1110(para)
+msgid "Aliases: <function>SquareRoot</function>"
+msgstr ""
+
+#: C/genius.xml:1111(para)
+msgid ""
+"The square root. When operating modulo some integer will return either a "
+"<constant>null</constant> or a vector of the square roots. Examples: "
+"<screen><prompt>genius&gt;</prompt> <userinput>sqrt(2)</userinput>\n"
+"= 1.41421356237\n"
+"<prompt>genius&gt;</prompt> <userinput>sqrt(-1)</userinput>\n"
+"= 1i\n"
+"<prompt>genius&gt;</prompt> <userinput>sqrt(4) mod 7</userinput>\n"
+"=\n"
+"[2      5]\n"
+"<prompt>genius&gt;</prompt> <userinput>2*2 mod 7</userinput>\n"
+"= 4\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:1123(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/SquareRoot.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1131(term)
+msgid "trunc"
+msgstr "trunc"
+
+#: C/genius.xml:1133(synopsis)
+#, no-wrap
+msgid "trunc (x)"
+msgstr "trunc (x)"
+
+#: C/genius.xml:1134(para)
+msgid "Aliases: <function>Truncate</function><function>IntegerPart</function>"
+msgstr ""
+
+#: C/genius.xml:1135(para)
+msgid "Truncate number to an integer (return the integer part)."
+msgstr ""
+
+#: C/genius.xml:1143(title)
+msgid "Trigonometry"
+msgstr "Trigonometrie"
+
+#: C/genius.xml:1146(term)
+msgid "acos"
+msgstr "acos"
+
+#: C/genius.xml:1148(synopsis)
+#, no-wrap
+msgid "acos (x)"
+msgstr "acos (x)"
+
+#: C/genius.xml:1149(para)
+msgid "Aliases: <function>arccos</function>"
+msgstr ""
+
+#: C/genius.xml:1150(para)
+msgid "The arccos (inverse cos) function."
+msgstr ""
+
+#: C/genius.xml:1155(term)
+msgid "acosh"
+msgstr "acosh"
+
+#: C/genius.xml:1157(synopsis)
+#, no-wrap
+msgid "acosh (x)"
+msgstr "acosh (x)"
+
+#: C/genius.xml:1158(para)
+msgid "Aliases: <function>arccosh</function>"
+msgstr ""
+
+#: C/genius.xml:1159(para)
+msgid "The arccosh (inverse cosh) function."
+msgstr ""
+
+#: C/genius.xml:1164(term)
+msgid "acot"
+msgstr "acot"
+
+#: C/genius.xml:1166(synopsis)
+#, no-wrap
+msgid "acot (x)"
+msgstr "acot (x)"
+
+#: C/genius.xml:1167(para)
+msgid "Aliases: <function>arccot</function>"
+msgstr ""
+
+#: C/genius.xml:1168(para)
+msgid "The arccot (inverse cot) function."
+msgstr ""
+
+#: C/genius.xml:1173(term)
+msgid "acoth"
+msgstr "acoth"
+
+#: C/genius.xml:1175(synopsis)
+#, no-wrap
+msgid "acoth (x)"
+msgstr "acoth (x)"
+
+#: C/genius.xml:1176(para)
+msgid "Aliases: <function>arccoth</function>"
+msgstr ""
+
+#: C/genius.xml:1177(para)
+msgid "The arccoth (inverse coth) function."
+msgstr ""
+
+#: C/genius.xml:1182(term)
+msgid "acsc"
+msgstr "acsc"
+
+#: C/genius.xml:1184(synopsis)
+#, no-wrap
+msgid "acsc (x)"
+msgstr "acsc (x)"
+
+#: C/genius.xml:1185(para)
+msgid "Aliases: <function>arccsc</function>"
+msgstr ""
+
+#: C/genius.xml:1186(para)
+msgid "The inverse cosecant function."
+msgstr ""
+
+#: C/genius.xml:1191(term)
+msgid "acsch"
+msgstr "acsch"
+
+#: C/genius.xml:1193(synopsis)
+#, no-wrap
+msgid "acsch (x)"
+msgstr "acsch (x)"
+
+#: C/genius.xml:1194(para)
+msgid "Aliases: <function>arccsch</function>"
+msgstr ""
+
+#: C/genius.xml:1195(para)
+msgid "The inverse hyperbolic cosecant function."
+msgstr ""
+
+#: C/genius.xml:1200(term)
+msgid "asec"
+msgstr "asec"
+
+#: C/genius.xml:1202(synopsis)
+#, no-wrap
+msgid "asec (x)"
+msgstr "asec (x)"
+
+#: C/genius.xml:1203(para)
+msgid "Aliases: <function>arcsec</function>"
+msgstr ""
+
+#: C/genius.xml:1204(para)
+msgid "The inverse secant function."
+msgstr ""
+
+#: C/genius.xml:1209(term)
+msgid "asech"
+msgstr "asech"
+
+#: C/genius.xml:1211(synopsis)
+#, no-wrap
+msgid "asech (x)"
+msgstr "asech (x)"
+
+#: C/genius.xml:1212(para)
+msgid "Aliases: <function>arcsech</function>"
+msgstr ""
+
+#: C/genius.xml:1213(para)
+msgid "The inverse hyperbolic secant function."
+msgstr ""
+
+#: C/genius.xml:1218(term)
+msgid "asin"
+msgstr "asin"
+
+#: C/genius.xml:1220(synopsis)
+#, no-wrap
+msgid "asin (x)"
+msgstr "asin (x)"
+
+#: C/genius.xml:1221(para)
+msgid "Aliases: <function>arcsin</function>"
+msgstr ""
+
+#: C/genius.xml:1222(para)
+msgid "The arcsin (inverse sin) function."
+msgstr ""
+
+#: C/genius.xml:1227(term)
+msgid "asinh"
+msgstr "asinh"
+
+#: C/genius.xml:1229(synopsis)
+#, no-wrap
+msgid "asinh (x)"
+msgstr "asinh (x)"
+
+#: C/genius.xml:1230(para)
+msgid "Aliases: <function>arcsinh</function>"
+msgstr ""
+
+#: C/genius.xml:1231(para)
+msgid "The arcsinh (inverse sinh) function."
+msgstr ""
+
+#: C/genius.xml:1236(term)
+msgid "atan"
+msgstr "atan"
+
+#: C/genius.xml:1238(synopsis)
+#, no-wrap
+msgid "atan (x)"
+msgstr "atan (x)"
+
+#: C/genius.xml:1239(para)
+msgid "Aliases: <function>arctan</function>"
+msgstr ""
+
+#: C/genius.xml:1240(para)
+msgid "Calculates the arctan (inverse tan) function."
+msgstr ""
+
+#: C/genius.xml:1241(para) C/genius.xml:1270(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/InverseTangent.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1249(term)
+msgid "atanh"
+msgstr "atanh"
+
+#: C/genius.xml:1251(synopsis)
+#, no-wrap
+msgid "atanh (x)"
+msgstr "atanh (x)"
+
+#: C/genius.xml:1252(para)
+msgid "Aliases: <function>arctanh</function>"
+msgstr ""
+
+#: C/genius.xml:1253(para)
+msgid "The arctanh (inverse tanh) function."
+msgstr ""
+
+#: C/genius.xml:1258(term)
+msgid "atan2"
+msgstr "atan2"
+
+#: C/genius.xml:1260(synopsis)
+#, no-wrap
+msgid "atan2 (y, x)"
+msgstr "atan2 (y, x)"
+
+#: C/genius.xml:1261(para)
+msgid "Aliases: <function>arctan2</function>"
+msgstr ""
+
+#: C/genius.xml:1262(para)
+msgid ""
+"Calculates the arctan2 function. If <userinput>x&gt;0</userinput> then it "
+"returns <userinput>atan(y/x)</userinput>. If <userinput>x&lt;0</userinput> "
+"then it returns <userinput>sign(y) * (pi - atan(|y/x|)</userinput>. When "
+"<userinput>x=0</userinput> it returns <userinput>sign(y) *\n"
+"\t  pi/2</userinput>. <userinput>atan2(0,0)</userinput> returns 0 rather then "
+"failing."
+msgstr ""
+
+#: C/genius.xml:1278(term)
+msgid "cos"
+msgstr "cos"
+
+#: C/genius.xml:1280(synopsis)
+#, no-wrap
+msgid "cos (x)"
+msgstr "cos (x)"
+
+#: C/genius.xml:1281(para)
+msgid "Calculates the cosine function."
+msgstr ""
+
+#: C/genius.xml:1282(para) C/genius.xml:1306(para) C/genius.xml:1330(para)
+#: C/genius.xml:1354(para) C/genius.xml:1378(para) C/genius.xml:1402(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/DefinitionsInTrigonometry.";
+"html\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1290(term)
+msgid "cosh"
+msgstr "cosh"
+
+#: C/genius.xml:1292(synopsis)
+#, no-wrap
+msgid "cosh (x)"
+msgstr "cosh (x)"
+
+#: C/genius.xml:1293(para)
+msgid "Calculates the hyperbolic cosine function."
+msgstr ""
+
+#: C/genius.xml:1294(para) C/genius.xml:1318(para) C/genius.xml:1342(para)
+#: C/genius.xml:1366(para) C/genius.xml:1390(para) C/genius.xml:1414(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/HyperbolicFunctions.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1302(term)
+msgid "cot"
+msgstr "cot"
+
+#: C/genius.xml:1304(synopsis)
+#, no-wrap
+msgid "cot (x)"
+msgstr "cot (x)"
+
+#: C/genius.xml:1305(para)
+msgid "The cotangent function."
+msgstr ""
+
+#: C/genius.xml:1314(term)
+msgid "coth"
+msgstr "coth"
+
+#: C/genius.xml:1316(synopsis)
+#, no-wrap
+msgid "coth (x)"
+msgstr "coth (x)"
+
+#: C/genius.xml:1317(para)
+msgid "The hyperbolic cotangent function."
+msgstr ""
+
+#: C/genius.xml:1326(term)
+msgid "csc"
+msgstr "csc"
+
+#: C/genius.xml:1328(synopsis)
+#, no-wrap
+msgid "csc (x)"
+msgstr "csc (x)"
+
+#: C/genius.xml:1329(para)
+msgid "The cosecant function."
+msgstr ""
+
+#: C/genius.xml:1338(term)
+msgid "csch"
+msgstr "csch"
+
+#: C/genius.xml:1340(synopsis)
+#, no-wrap
+msgid "csch (x)"
+msgstr "csch (x)"
+
+#: C/genius.xml:1341(para)
+msgid "The hyperbolic cosecant function."
+msgstr ""
+
+#: C/genius.xml:1350(term)
+msgid "sec"
+msgstr "sec"
+
+#: C/genius.xml:1352(synopsis)
+#, no-wrap
+msgid "sec (x)"
+msgstr "sec (x)"
+
+#: C/genius.xml:1353(para)
+msgid "The secant function."
+msgstr ""
+
+#: C/genius.xml:1362(term)
+msgid "sech"
+msgstr "sech"
+
+#: C/genius.xml:1364(synopsis)
+#, no-wrap
+msgid "sech (x)"
+msgstr "sech (x)"
+
+#: C/genius.xml:1365(para)
+msgid "The hyperbolic secant function."
+msgstr ""
+
+#: C/genius.xml:1374(term)
+msgid "sin"
+msgstr "sin"
+
+#: C/genius.xml:1376(synopsis)
+#, no-wrap
+msgid "sin (x)"
+msgstr "sin (x)"
+
+#: C/genius.xml:1377(para)
+msgid "Calculates the sine function."
+msgstr ""
+
+#: C/genius.xml:1386(term)
+msgid "sinh"
+msgstr "sinh"
+
+#: C/genius.xml:1388(synopsis)
+#, no-wrap
+msgid "sinh (x)"
+msgstr "sinh (x)"
+
+#: C/genius.xml:1389(para)
+msgid "Calculates the hyperbolic sine function."
+msgstr ""
+
+#: C/genius.xml:1398(term)
+msgid "tan"
+msgstr "tan"
+
+#: C/genius.xml:1400(synopsis)
+#, no-wrap
+msgid "tan (x)"
+msgstr "tan (x)"
+
+#: C/genius.xml:1401(para)
+msgid "Calculates the tan function."
+msgstr ""
+
+#: C/genius.xml:1410(term)
+msgid "tanh"
+msgstr "tanh"
+
+#: C/genius.xml:1412(synopsis)
+#, no-wrap
+msgid "tanh (x)"
+msgstr "tanh (x)"
+
+#: C/genius.xml:1413(para)
+msgid "The hyperbolic tangent function."
+msgstr ""
+
+#: C/genius.xml:1425(title)
+msgid "Number Theory"
+msgstr "Zahlentheorie"
+
+#: C/genius.xml:1428(term)
+msgid "AreRelativelyPrime"
+msgstr "AreRelativelyPrime"
+
+#: C/genius.xml:1430(synopsis)
+#, no-wrap
+msgid "AreRelativelyPrime (a,b)"
+msgstr "AreRelativelyPrime (a,b)"
+
+#: C/genius.xml:1431(para)
+msgid ""
+"Are the real integers <varname>a</varname> and <varname>b</varname> "
+"relatively prime? Returns <constant>true</constant> or <constant>false</"
+"constant>."
+msgstr ""
+
+#: C/genius.xml:1435(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/RelativelyPrime.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"RelativelyPrime.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1444(term)
+msgid "BernoulliNumber"
+msgstr "BernoulliNumber"
+
+#: C/genius.xml:1446(synopsis)
+#, no-wrap
+msgid "BernoulliNumber (n)"
+msgstr "BernoulliNumber (n)"
+
+#: C/genius.xml:1447(para)
+msgid "Return the <varname>n</varname>th Bernoulli number."
+msgstr ""
+
+#: C/genius.xml:1452(term)
+msgid "ChineseRemainder"
+msgstr "ChineseRemainder"
+
+#: C/genius.xml:1454(synopsis)
+#, no-wrap
+msgid "ChineseRemainder (a,m)"
+msgstr "ChineseRemainder (a,m)"
+
+#: C/genius.xml:1455(para)
+msgid "Aliases: <function>CRT</function>"
+msgstr ""
+
+#: C/genius.xml:1456(para)
+msgid ""
+"Find the <varname>x</varname> that solves the system given by the vector "
+"<varname>a</varname> and modulo the elements of <varname>m</varname>, using "
+"the Chinese Remainder Theorem."
+msgstr ""
+
+#: C/genius.xml:1460(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/ChineseRemainderTheorem.";
+"html\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"ChineseRemainderTheorem.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1469(term)
+msgid "CombineFactorizations"
+msgstr "CombineFactorizations"
+
+#: C/genius.xml:1471(synopsis)
+#, no-wrap
+msgid "CombineFactorizations (a,b)"
+msgstr "CombineFactorizations (a,b)"
+
+#: C/genius.xml:1472(para)
+msgid "Given two factorizations, give the factorization of the product."
+msgstr ""
+
+#: C/genius.xml:1474(para)
+msgid "See <link linkend=\"gel-function-Factorize\">Factorize</link>."
+msgstr ""
+
+#: C/genius.xml:1479(term)
+msgid "ConvertFromBase"
+msgstr "ConvertFromBase"
+
+#: C/genius.xml:1481(synopsis)
+#, no-wrap
+msgid "ConvertFromBase (v,b)"
+msgstr "ConvertFromBase (v,b)"
+
+#: C/genius.xml:1482(para)
+msgid "Convert a vector of values indicating powers of b to a number."
+msgstr ""
+
+#: C/genius.xml:1487(term)
+msgid "ConvertToBase"
+msgstr "ConvertToBase"
+
+#: C/genius.xml:1489(synopsis)
+#, no-wrap
+msgid "ConvertToBase (n,b)"
+msgstr "ConvertToBase (n,b)"
+
+#: C/genius.xml:1490(para)
+msgid ""
+"Convert a number to a vector of powers for elements in base <varname>b</"
+"varname>."
+msgstr ""
+
+#: C/genius.xml:1495(term)
+msgid "DiscreteLog"
+msgstr "DiscreteLog"
+
+#: C/genius.xml:1497(synopsis)
+#, no-wrap
+msgid "DiscreteLog (n,b,q)"
+msgstr "DiscreteLog (n,b,q)"
+
+#: C/genius.xml:1498(para)
+msgid ""
+"Find discrete log of <varname>n</varname> base <varname>b</varname> in "
+"F<subscript>q</subscript>, the finite field of order <varname>q</varname>, "
+"where <varname>q</varname> is a prime, using the Silver-Pohlig-Hellman "
+"algoritm."
+msgstr ""
+
+#: C/genius.xml:1501(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/DiscreteLogarithm.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"DiscreteLogarithm.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1510(term)
+msgid "Divides"
+msgstr "Divides"
+
+#: C/genius.xml:1512(synopsis)
+#, no-wrap
+msgid "Divides (m,n)"
+msgstr "Divides (m,n)"
+
+#: C/genius.xml:1513(para)
+msgid ""
+"Checks divisibility (if <varname>m</varname> divides <varname>n</varname>)."
+msgstr ""
+
+#: C/genius.xml:1518(term)
+msgid "EulerPhi"
+msgstr "EulerPhi"
+
+#: C/genius.xml:1520(synopsis)
+#, no-wrap
+msgid "EulerPhi (n)"
+msgstr "EulerPhi (n)"
+
+#: C/genius.xml:1521(para)
+msgid ""
+"Compute the Euler phi function for <varname>n</varname>, that is the number "
+"of integers between 1 and <varname>n</varname> relatively prime to "
+"<varname>n</varname>."
+msgstr ""
+
+#: C/genius.xml:1526(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/EulerPhifunction.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"TotientFunction.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1535(term)
+msgid "ExactDivision"
+msgstr "ExactDivision"
+
+#: C/genius.xml:1537(synopsis)
+#, no-wrap
+msgid "ExactDivision (n,d)"
+msgstr "ExactDivision (n,d)"
+
+#: C/genius.xml:1538(para)
+msgid ""
+"Return <userinput>n/d</userinput> but only if <varname>d</varname> divides "
+"<varname>n</varname>. If <varname>d</varname> does not divide <varname>n</"
+"varname> then this function returns garbage. This is a lot faster for very "
+"large numbers than the operation <userinput>n/d</userinput>, but of course "
+"only useful if you know that the division is exact."
+msgstr ""
+
+#: C/genius.xml:1550(term)
+msgid "Factorize"
+msgstr "Factorize"
+
+#: C/genius.xml:1552(synopsis)
+#, no-wrap
+msgid "Factorize (n)"
+msgstr "Factorize (n)"
+
+#: C/genius.xml:1553(para)
+msgid ""
+"Return factorization of a number as a matrix. The first row is the primes in "
+"the factorization (including 1) and the second row are the powers. So for "
+"example: <screen><prompt>genius&gt;</prompt> <userinput>Factorize(11*11*13)</"
+"userinput>\n"
+"=\n"
+"[1      11      13\n"
+" 1      2       1]</screen>"
+msgstr ""
+
+#: C/genius.xml:1566(term)
+msgid "Factors"
+msgstr "Factors"
+
+#: C/genius.xml:1568(synopsis)
+#, no-wrap
+msgid "Factors (n)"
+msgstr "Factors (n)"
+
+#: C/genius.xml:1575(programlisting)
+#, no-wrap
+msgid ""
+"for n=1 to 1000 do (\n"
+"    if MatrixSum (Factors(n)) == 2*n then\n"
+"        print(n)\n"
+")\n"
+msgstr ""
+"for n=1 to 1000 do (\n"
+"    if MatrixSum (Factors(n)) == 2*n then\n"
+"        print(n)\n"
+")\n"
+
+#: C/genius.xml:1569(para)
+msgid ""
+"Return all factors of <varname>n</varname> in a vector. This includes all the "
+"non-prime factors as well. It includes 1 and the number itself. So for "
+"example to print all the perfect numbers (those that are sums of their "
+"factors) up to the number 1000 you could do (this is of course very "
+"inefficent) <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:1585(term)
+msgid "FermatFactorization"
+msgstr "FermatFactorization"
+
+#: C/genius.xml:1587(synopsis)
+#, no-wrap
+msgid "FermatFactorization (n,tries)"
+msgstr "FermatFactorization (n,tries)"
+
+#: C/genius.xml:1588(para)
+msgid ""
+"Attempt fermat factorization of <varname>n</varname> into <userinput>(t-s)*(t"
+"+s)</userinput>, returns <varname>t</varname> and <varname>s</varname> as a "
+"vector if possible, null otherwise. <varname>tries</varname> specifies the "
+"number of tries before giving up."
+msgstr ""
+
+#: C/genius.xml:1595(para)
+msgid ""
+"This is a fairly good factorization if your number is the product of two "
+"factors that are very close to each other."
+msgstr ""
+
+#: C/genius.xml:1603(term)
+msgid "FindPrimitiveElementMod"
+msgstr "FindPrimitiveElementMod"
+
+#: C/genius.xml:1605(synopsis)
+#, no-wrap
+msgid "FindPrimitiveElementMod (q)"
+msgstr "FindPrimitiveElementMod (q)"
+
+#: C/genius.xml:1606(para)
+msgid ""
+"Find the first primitive element in F<subscript>q</subscript>, the finite "
+"group of order <varname>q</varname>. Of course <varname>q</varname> must be a "
+"prime."
+msgstr ""
+
+#: C/genius.xml:1612(term)
+msgid "FindRandomPrimitiveElementMod"
+msgstr "FindRandomPrimitiveElementMod"
+
+#: C/genius.xml:1614(synopsis)
+#, no-wrap
+msgid "FindRandomPrimitiveElementMod (q)"
+msgstr "FindRandomPrimitiveElementMod (q)"
+
+#: C/genius.xml:1615(para)
+msgid ""
+"Find a random primitive element in F<subscript>q</subscript>, the finite "
+"group of order <varname>q</varname> (q must be a prime)."
+msgstr ""
+
+#: C/genius.xml:1621(term)
+msgid "IndexCalculus"
+msgstr "IndexCalculus"
+
+#: C/genius.xml:1623(synopsis)
+#, no-wrap
+msgid "IndexCalculus (n,b,q,S)"
+msgstr "IndexCalculus (n,b,q,S)"
+
+#: C/genius.xml:1624(para)
+msgid ""
+"Compute discrete log base <varname>b</varname> of n in F<subscript>q</"
+"subscript>, the finite group of order <varname>q</varname> (<varname>q</"
+"varname> a prime), using the factor base <varname>S</varname>. <varname>S</"
+"varname> should be a column of primes possibly with second column "
+"precalculated by <function>IndexCalculusPrecalculation</function>."
+msgstr ""
+
+#: C/genius.xml:1633(term)
+msgid "IndexCalculusPrecalculation"
+msgstr "IndexCalculusPrecalculation"
+
+#: C/genius.xml:1635(synopsis)
+#, no-wrap
+msgid "IndexCalculusPrecalculation (b,q,S)"
+msgstr "IndexCalculusPrecalculation (b,q,S)"
+
+#: C/genius.xml:1636(para)
+msgid ""
+"Run the precalculation step of <function>IndexCalculus</function> for "
+"logarithms base <varname>b</varname> in F<subscript>q</subscript>, the finite "
+"group of order <varname>q</varname> (<varname>q</varname> a prime), for the "
+"factor base <varname>S</varname> (where <varname>S</varname> is a column "
+"vector of primes). The logs will be precalculated and returned in the second "
+"column."
+msgstr ""
+
+#: C/genius.xml:1646(term)
+msgid "IsEven"
+msgstr "IsEven"
+
+#: C/genius.xml:1648(synopsis)
+#, no-wrap
+msgid "IsEven (n)"
+msgstr "IsEven (n)"
+
+#: C/genius.xml:1649(para)
+msgid "Tests if an integer is even."
+msgstr ""
+
+#: C/genius.xml:1654(term)
+msgid "IsMersennePrimeExponent"
+msgstr "IsMersennePrimeExponent"
+
+#: C/genius.xml:1656(synopsis)
+#, no-wrap
+msgid "IsMersennePrimeExponent (p)"
+msgstr "IsMersennePrimeExponent (p)"
+
+#: C/genius.xml:1657(para)
+msgid ""
+"Tests if a positive integer <varname>p</varname> is a Mersenne prime "
+"exponent. That is if 2<superscript>p</superscript>-1 is a prime. It does this "
+"by looking it up in a table of known values which is relatively short. See "
+"also <link linkend=\"gel-function-MersennePrimeExponents"
+"\">MersennePrimeExponents</link> and <link linkend=\"gel-function-LucasLehmer"
+"\">LucasLehmer</link>."
+msgstr ""
+
+#: C/genius.xml:1668(para) C/genius.xml:1881(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/MersenneNumbers.html";
+"\">Planetmath</ulink>, <ulink url=\"http://mathworld.wolfram.com/";
+"MersennePrime.html\">Mathworld</ulink> or <ulink url=\"http://www.mersenne.";
+"org/\">GIMPS</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1679(term)
+msgid "IsNthPower"
+msgstr "IsNthPower"
+
+#: C/genius.xml:1681(synopsis)
+#, no-wrap
+msgid "IsNthPower (m,n)"
+msgstr "IsNthPower (m,n)"
+
+#: C/genius.xml:1682(para)
+msgid ""
+"Tests if a rational number <varname>m</varname> is a perfect <varname>n</"
+"varname>th power. See also <link linkend=\"gel-function-IsPerfectPower"
+"\">IsPerfectPower</link> and <link linkend=\"gel-function-IsPerfectSquare"
+"\">IsPerfectSquare</link>."
+msgstr ""
+
+#: C/genius.xml:1693(term)
+msgid "IsOdd"
+msgstr "IsOdd"
+
+#: C/genius.xml:1695(synopsis)
+#, no-wrap
+msgid "IsOdd (n)"
+msgstr "IsOdd (n)"
+
+#: C/genius.xml:1696(para)
+msgid "Tests if an integer is odd."
+msgstr ""
+
+#: C/genius.xml:1701(term)
+msgid "IsPerfectPower"
+msgstr "IsPerfectPower"
+
+#: C/genius.xml:1703(synopsis)
+#, no-wrap
+msgid "IsPerfectPower (n)"
+msgstr "IsPerfectPower (n)"
+
+#: C/genius.xml:1704(para)
+msgid "Check an integer is any perfect power, a<superscript>b</superscript>."
+msgstr ""
+
+#: C/genius.xml:1709(term)
+msgid "IsPerfectSquare"
+msgstr "IsPerfectSquare"
+
+#: C/genius.xml:1711(synopsis)
+#, no-wrap
+msgid "IsPerfectSquare (n)"
+msgstr "IsPerfectSquare (n)"
+
+#: C/genius.xml:1712(para)
+msgid ""
+"Check an integer for being a perfect square of an integer. The number must be "
+"a real integer. Negative integers are of course never perfect squares of real "
+"integers."
+msgstr ""
+
+#: C/genius.xml:1721(term)
+msgid "IsPrime"
+msgstr "IsPrime"
+
+#: C/genius.xml:1723(synopsis)
+#, no-wrap
+msgid "IsPrime (n)"
+msgstr "IsPrime (n)"
+
+#: C/genius.xml:1724(para)
+msgid ""
+"Tests primality of integers, for numbers less than 2.5e10 the answer is "
+"deterministic (if Riemann hypothesis is true). For numbers larger, the "
+"probability of a false positive depends on <link linkend=\"gel-function-"
+"IsPrimeMillerRabinReps\"><function>IsPrimeMillerRabinReps</function></link>. "
+"That is the probability of false positive is 1/4 to the power "
+"<function>IsPrimeMillerRabinReps</function>. The default value of 22 yields a "
+"probability of about 5.7e-14."
+msgstr ""
+
+#: C/genius.xml:1735(para)
+msgid ""
+"If <literal>false</literal> is returned, you can be sure that the number is a "
+"composite. If you want to be absolutely sure that you have a prime you can "
+"use <link linkend=\"gel-function-MillerRabinTestSure"
+"\"><function>MillerRabinTestSure</function></link> but it may take a lot "
+"longer."
+msgstr ""
+
+#: C/genius.xml:1743(para) C/genius.xml:1976(para) C/genius.xml:2016(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/PrimeNumber.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"PrimeNumber.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1752(term)
+msgid "IsPrimitiveMod"
+msgstr "IsPrimitiveMod"
+
+#: C/genius.xml:1754(synopsis)
+#, no-wrap
+msgid "IsPrimitiveMod (g,q)"
+msgstr "IsPrimitiveMod (g,q)"
+
+#: C/genius.xml:1755(para)
+msgid ""
+"Check if <varname>g</varname> is primitive in F<subscript>q</subscript>, the "
+"finite group of order <varname>q</varname>, where <varname>q</varname> is a "
+"prime. If <varname>q</varname> is not prime results are bogus."
+msgstr ""
+
+#: C/genius.xml:1761(term)
+msgid "IsPrimitiveModWithPrimeFactors"
+msgstr "IsPrimitiveModWithPrimeFactors"
+
+#: C/genius.xml:1763(synopsis)
+#, no-wrap
+msgid "IsPrimitiveModWithPrimeFactors (g,q,f)"
+msgstr "IsPrimitiveModWithPrimeFactors (g,q,f)"
+
+#: C/genius.xml:1764(para)
+msgid ""
+"Check if <varname>g</varname> is primitive in F<subscript>q</subscript>, the "
+"finite group of order <varname>q</varname>, where <varname>q</varname> is a "
+"prime and <varname>f</varname> is a vector of prime factors of <varname>q</"
+"varname>-1. If <varname>q</varname> is not prime results are bogus."
+msgstr ""
+
+#: C/genius.xml:1772(term)
+msgid "IsPseudoprime"
+msgstr "IsPseudoprime"
+
+#: C/genius.xml:1774(synopsis)
+#, no-wrap
+msgid "IsPseudoprime (n,b)"
+msgstr "IsPseudoprime (n,b)"
+
+#: C/genius.xml:1775(para)
+msgid ""
+"If <varname>n</varname> is a pseudoprime base <varname>b</varname> but not a "
+"prime, that is if <userinput>b^(n-1) == 1 mod n</userinput>. This calles the "
+"<function>PseudoprimeTest</function>"
+msgstr ""
+
+#: C/genius.xml:1781(term)
+msgid "IsStrongPseudoprime"
+msgstr "IsStrongPseudoprime"
+
+#: C/genius.xml:1783(synopsis)
+#, no-wrap
+msgid "IsStrongPseudoprime (n,b)"
+msgstr "IsStrongPseudoprime (n,b)"
+
+#: C/genius.xml:1784(para)
+msgid ""
+"Test if <varname>n</varname> is a strong pseudoprime to base <varname>b</"
+"varname> but not a prime."
+msgstr ""
+
+#: C/genius.xml:1789(term)
+msgid "Jacobi"
+msgstr "Jacobi"
+
+#: C/genius.xml:1791(synopsis)
+#, no-wrap
+msgid "Jacobi (a,b)"
+msgstr "Jacobi (a,b)"
+
+#: C/genius.xml:1792(para)
+msgid "Aliases: <function>JacobiSymbol</function>"
+msgstr ""
+
+#: C/genius.xml:1793(para)
+msgid "Calculate the Jacobi symbol (a/b) (b should be odd)."
+msgstr ""
+
+#: C/genius.xml:1798(term)
+msgid "JacobiKronecker"
+msgstr "JacobiKronecker"
+
+#: C/genius.xml:1800(synopsis)
+#, no-wrap
+msgid "JacobiKronecker (a,b)"
+msgstr "JacobiKronecker (a,b)"
+
+#: C/genius.xml:1801(para)
+msgid "Aliases: <function>JacobiKroneckerSymbol</function>"
+msgstr ""
+
+#: C/genius.xml:1802(para)
+msgid ""
+"Calculate the Jacobi symbol (a/b) with the Kronecker extension (a/2)=(2/a) "
+"when a odd, or (a/2)=0 when a even."
+msgstr ""
+
+#: C/genius.xml:1807(term)
+msgid "LeastAbsoluteResidue"
+msgstr "LeastAbsoluteResidue"
+
+#: C/genius.xml:1809(synopsis)
+#, no-wrap
+msgid "LeastAbsoluteResidue (a,n)"
+msgstr "LeastAbsoluteResidue (a,n)"
+
+#: C/genius.xml:1810(para)
+msgid ""
+"Return the residue of <varname>a</varname> mod <varname>n</varname> with the "
+"least absolute value (in the interval -n/2 to n/2)."
+msgstr ""
+
+#: C/genius.xml:1815(term)
+msgid "Legendre"
+msgstr "Legendre"
+
+#: C/genius.xml:1817(synopsis)
+#, no-wrap
+msgid "Legendre (a,p)"
+msgstr "Legendre (a,p)"
+
+#: C/genius.xml:1818(para)
+msgid "Aliases: <function>LegendreSymbol</function>"
+msgstr ""
+
+#: C/genius.xml:1819(para)
+msgid "Calculate the Legendre symbol (a/p)."
+msgstr ""
+
+#: C/genius.xml:1820(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/LegendreSymbol.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"LegendreSymbol.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1829(term)
+msgid "LucasLehmer"
+msgstr "LucasLehmer"
+
+#: C/genius.xml:1831(synopsis)
+#, no-wrap
+msgid "LucasLehmer (p)"
+msgstr "LucasLehmer (p)"
+
+#: C/genius.xml:1832(para)
+msgid ""
+"Test if 2<superscript>p</superscript>-1 is a Mersenne prime using the Lucas-"
+"Lehmer test. See also <link linkend=\"gel-function-MersennePrimeExponents"
+"\">MersennePrimeExponents</link> and <link linkend=\"gel-function-"
+"IsMersennePrimeExponent\">IsMersennePrimeExponent</link>."
+msgstr ""
+
+#: C/genius.xml:1838(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/LucasLhemer.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/Lucas-";
+"LehmerTest.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1847(term)
+msgid "LucasNumber"
+msgstr "LucasNumber"
+
+#: C/genius.xml:1849(synopsis)
+#, no-wrap
+msgid "LucasNumber (n)"
+msgstr "LucasNumber (n)"
+
+#: C/genius.xml:1850(para)
+msgid "Returns the <varname>n</varname>th Lucas number."
+msgstr ""
+
+#: C/genius.xml:1851(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/LucasNumbers.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"LucasNumber.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1860(term)
+msgid "MaximalPrimePowerFactors"
+msgstr "MaximalPrimePowerFactors"
+
+#: C/genius.xml:1862(synopsis)
+#, no-wrap
+msgid "MaximalPrimePowerFactors (n)"
+msgstr "MaximalPrimePowerFactors (n)"
+
+#: C/genius.xml:1863(para)
+msgid "Return all maximal prime power factors of a number."
+msgstr ""
+
+#: C/genius.xml:1868(term) C/genius.xml:1870(synopsis)
+msgid "MersennePrimeExponents"
+msgstr "MersennePrimeExponents"
+
+#: C/genius.xml:1871(para)
+msgid ""
+"A vector of known Mersenne prime exponents, that is a list of positive "
+"integers <varname>p</varname> such that 2<superscript>p</superscript>-1 is a "
+"prime. See also <link linkend=\"gel-function-IsMersennePrimeExponent"
+"\">IsMersennePrimeExponent</link> and <link linkend=\"gel-function-LucasLehmer"
+"\">LucasLehmer</link>."
+msgstr ""
+
+#: C/genius.xml:1892(term)
+msgid "MillerRabinTest"
+msgstr "MillerRabinTest"
+
+#: C/genius.xml:1894(synopsis)
+#, no-wrap
+msgid "MillerRabinTest (n,reps)"
+msgstr "MillerRabinTest (n,reps)"
+
+#: C/genius.xml:1895(para)
+msgid ""
+"Use the Miller-Rabin primality test on <varname>n</varname>, <varname>reps</"
+"varname> number of times. The probability of false positive is <userinput>"
+"(1/4)^reps</userinput>. It is probably usually better to use <link linkend="
+"\"gel-function-IsPrime\"><function>IsPrime</function></link> since that is "
+"faster and better on smaller integers."
+msgstr ""
+
+#: C/genius.xml:1904(para) C/genius.xml:1921(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/MillerRabinPrimeTest.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/Rabin-";
+"MillerStrongPseudoprimeTest.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1913(term)
+msgid "MillerRabinTestSure"
+msgstr "MillerRabinTestSure"
+
+#: C/genius.xml:1915(synopsis)
+#, no-wrap
+msgid "MillerRabinTestSure (n)"
+msgstr "MillerRabinTestSure (n)"
+
+#: C/genius.xml:1916(para)
+msgid ""
+"Use the Miller-Rabin primality test on <varname>n</varname> with enough bases "
+"that assuming the Generalized Reimann Hypothesis the result is deterministic."
+msgstr ""
+
+#: C/genius.xml:1930(term)
+msgid "ModInvert"
+msgstr "ModInvert"
+
+#: C/genius.xml:1932(synopsis)
+#, no-wrap
+msgid "ModInvert (n,m)"
+msgstr "ModInvert (n,m)"
+
+#: C/genius.xml:1933(para)
+msgid "Returns inverse of n mod m."
+msgstr ""
+
+#: C/genius.xml:1934(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/ModularInverse.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1942(term)
+msgid "MoebiusMu"
+msgstr "MoebiusMu"
+
+#: C/genius.xml:1944(synopsis)
+#, no-wrap
+msgid "MoebiusMu (n)"
+msgstr "MoebiusMu (n)"
+
+#: C/genius.xml:1945(para)
+msgid ""
+"Return the Moebius mu function evaluated in <varname>n</varname>. That is, it "
+"returns 0 if <varname>n</varname> is not a product of distinct primes and "
+"<userinput>(-1)^k</userinput> if it is a product of <varname>k</varname> "
+"distinct primes."
+msgstr ""
+
+#: C/genius.xml:1951(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/MoebiusFunction.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"MoebiusFunction.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1960(term)
+msgid "NextPrime"
+msgstr "NextPrime"
+
+#: C/genius.xml:1962(synopsis)
+#, no-wrap
+msgid "NextPrime (n)"
+msgstr "NextPrime (n)"
+
+#: C/genius.xml:1963(para)
+msgid ""
+"Returns the least prime greater than <varname>n</varname>. Negatives of "
+"primes are considered prime and so to get the previous prime you can use "
+"<userinput>-NextPrime(-n)</userinput>."
+msgstr ""
+
+#: C/genius.xml:1968(para)
+msgid ""
+"This function uses the GMP's <function>mpz_nextprime</function> which in turn "
+"uses the probabilistic Miller-Rabin test (See also <link linkend=\"gel-"
+"function-MillerRabinTest\">MillerRabinTest</link>). The probability of false "
+"positive is not tunable, but is low enough for all practical purposes."
+msgstr ""
+
+#: C/genius.xml:1985(term)
+msgid "PadicValuation"
+msgstr "PadicValuation"
+
+#: C/genius.xml:1987(synopsis)
+#, no-wrap
+msgid "PadicValuation (n,p)"
+msgstr "PadicValuation (n,p)"
+
+#: C/genius.xml:1988(para)
+msgid ""
+"Returns the padic valuation (number of trailing zeros in base <varname>p</"
+"varname>)."
+msgstr ""
+
+#: C/genius.xml:1989(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/PAdicValuation.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1997(term)
+msgid "PowerMod"
+msgstr "PowerMod"
+
+#: C/genius.xml:1999(synopsis)
+#, no-wrap
+msgid "PowerMod (a,b,m)"
+msgstr "PowerMod (a,b,m)"
+
+#: C/genius.xml:2000(para)
+msgid ""
+"Compute <userinput>a^b mod m</userinput>. The <varname>b</varname>'s power of "
+"<varname>a</varname> modulo <varname>m</varname>. It is not neccessary to use "
+"this function as it is automatically used in modulo mode. Hence "
+"<userinput>a^b mod m</userinput> is just as fast."
+msgstr ""
+
+#: C/genius.xml:2011(term)
+msgid "Prime"
+msgstr "Prime"
+
+#: C/genius.xml:2013(synopsis)
+#, no-wrap
+msgid "Prime (n)"
+msgstr "Prime (n)"
+
+#: C/genius.xml:2014(para)
+msgid "Aliases: <function>prime</function>"
+msgstr ""
+
+#: C/genius.xml:2015(para)
+msgid "Return the <varname>n</varname>th prime (up to a limit)."
+msgstr ""
+
+#: C/genius.xml:2025(term)
+msgid "PrimeFactors"
+msgstr "PrimeFactors"
+
+#: C/genius.xml:2027(synopsis)
+#, no-wrap
+msgid "PrimeFactors (n)"
+msgstr "PrimeFactors (n)"
+
+#: C/genius.xml:2028(para)
+msgid "Return all prime factors of a number as a vector."
+msgstr ""
+
+#: C/genius.xml:2029(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/PrimeFactor.html\";>Mathworld</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2037(term)
+msgid "PseudoprimeTest"
+msgstr "PseudoprimeTest"
+
+#: C/genius.xml:2039(synopsis)
+#, no-wrap
+msgid "PseudoprimeTest (n,b)"
+msgstr "PseudoprimeTest (n,b)"
+
+#: C/genius.xml:2040(para)
+msgid ""
+"Pseudoprime test, returns true if and only if <userinput>b^(n-1) == 1  mod n</"
+"userinput>"
+msgstr ""
+
+#: C/genius.xml:2042(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Pseudoprime.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"Pseudoprime.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2051(term)
+msgid "RemoveFactor"
+msgstr "RemoveFactor"
+
+#: C/genius.xml:2053(synopsis)
+#, no-wrap
+msgid "RemoveFactor (n,m)"
+msgstr "RemoveFactor (n,m)"
+
+#: C/genius.xml:2054(para)
+msgid ""
+"Removes all instances of the factor <varname>m</varname> from the number "
+"<varname>n</varname>. That is divides by the largest power of <varname>m</"
+"varname>, that divides <varname>n</varname>."
+msgstr ""
+
+#: C/genius.xml:2055(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Divisibility.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/Factor.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2064(term)
+msgid "SilverPohligHellmanWithFactorization"
+msgstr "SilverPohligHellmanWithFactorization"
+
+#: C/genius.xml:2066(synopsis)
+#, no-wrap
+msgid "SilverPohligHellmanWithFactorization (n,b,q,f)"
+msgstr "SilverPohligHellmanWithFactorization (n,b,q,f)"
+
+#: C/genius.xml:2067(para)
+msgid ""
+"Find discrete log of <varname>n</varname> base <varname>b</varname> in "
+"F<subscript>q</subscript>, the finite group of order <varname>q</varname>, "
+"where <varname>q</varname> is a prime using the Silver-Pohlig-Hellman "
+"algoritm, given <varname>f</varname> being the factorization of <varname>q</"
+"varname>-1."
+msgstr ""
+
+#: C/genius.xml:2072(term)
+msgid "SqrtModPrime"
+msgstr "SqrtModPrime"
+
+#: C/genius.xml:2074(synopsis)
+#, no-wrap
+msgid "SqrtModPrime (n,p)"
+msgstr "SqrtModPrime (n,p)"
+
+#: C/genius.xml:2075(para)
+msgid ""
+"Find square root of <varname>n</varname> modulo <varname>p</varname> (where "
+"<varname>p</varname> is a prime). Null is returned if not a quadratic residue."
+msgstr ""
+
+#: C/genius.xml:2076(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/QuadraticResidue.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"QuadraticResidue.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2085(term)
+msgid "StrongPseudoprimeTest"
+msgstr "StrongPseudoprimeTest"
+
+#: C/genius.xml:2087(synopsis)
+#, no-wrap
+msgid "StrongPseudoprimeTest (n,b)"
+msgstr "StrongPseudoprimeTest (n,b)"
+
+#: C/genius.xml:2088(para)
+msgid ""
+"Run the strong pseudoprime test base <varname>b</varname> on <varname>n</"
+"varname>."
+msgstr ""
+
+#: C/genius.xml:2089(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/StrongPseudoprime.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"StrongPseudoprime.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2098(term)
+msgid "gcd"
+msgstr "gcd"
+
+#: C/genius.xml:2100(synopsis)
+#, no-wrap
+msgid "gcd (a,args...)"
+msgstr "gcd (a,args...)"
+
+#: C/genius.xml:2101(para)
+msgid "Aliases: <function>GCD</function>"
+msgstr ""
+
+#: C/genius.xml:2102(para)
+msgid ""
+"Greatest common divisor of integers. You can enter as many integers in the "
+"argument list, or you can give a vector or a matrix of integers. If you give "
+"more than one matrix of the same size then GCD is done element by element."
+msgstr ""
+
+#: C/genius.xml:2108(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/GreatestCommonDivisor.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"GreatestCommonDivisor.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2117(term)
+msgid "lcm"
+msgstr "lcm"
+
+#: C/genius.xml:2119(synopsis)
+#, no-wrap
+msgid "lcm (a,args...)"
+msgstr "lcm (a,args...)"
+
+#: C/genius.xml:2120(para)
+msgid "Aliases: <function>LCM</function>"
+msgstr ""
+
+#: C/genius.xml:2121(para)
+msgid ""
+"Least common multiplier of integers. You can enter as many integers in the "
+"argument list, or you can give a vector or a matrix of integers. If you give "
+"more than one matrix of the same size then LCM is done element by element."
+msgstr ""
+
+#: C/genius.xml:2127(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/LeastCommonMultiple.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"LeastCommonMultiple.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2139(title)
+msgid "Matrix Manipulation"
+msgstr ""
+
+#: C/genius.xml:2142(term)
+msgid "ApplyOverMatrix"
+msgstr "ApplyOverMatrix"
+
+#: C/genius.xml:2144(synopsis)
+#, no-wrap
+msgid "ApplyOverMatrix (a,func)"
+msgstr "ApplyOverMatrix (a,func)"
+
+#: C/genius.xml:2145(para)
+msgid ""
+"Apply a function over all entries of a matrix and return a matrix of the "
+"results."
+msgstr ""
+
+#: C/genius.xml:2150(term)
+msgid "ApplyOverMatrix2"
+msgstr "ApplyOverMatrix2"
+
+#: C/genius.xml:2152(synopsis)
+#, no-wrap
+msgid "ApplyOverMatrix2 (a,b,func)"
+msgstr "ApplyOverMatrix2 (a,b,func)"
+
+#: C/genius.xml:2153(para)
+msgid ""
+"Apply a function over all entries of 2 matrices (or 1 value and 1 matrix) and "
+"return a matrix of the results."
+msgstr ""
+
+#: C/genius.xml:2158(term)
+msgid "ColumnsOf"
+msgstr "ColumnsOf"
+
+#: C/genius.xml:2160(synopsis)
+#, no-wrap
+msgid "ColumnsOf (M)"
+msgstr "ColumnsOf (M)"
+
+#: C/genius.xml:2161(para)
+msgid "Gets the columns of a matrix as a horizontal vector."
+msgstr ""
+
+#: C/genius.xml:2166(term)
+msgid "ComplementSubmatrix"
+msgstr "ComplementSubmatrix"
+
+#: C/genius.xml:2168(synopsis)
+#, no-wrap
+msgid "ComplementSubmatrix (m,r,c)"
+msgstr "ComplementSubmatrix (m,r,c)"
+
+#: C/genius.xml:2169(para)
+msgid "Remove column(s) and row(s) from a matrix."
+msgstr ""
+
+#: C/genius.xml:2174(term)
+msgid "CompoundMatrix"
+msgstr "CompoundMatrix"
+
+#: C/genius.xml:2176(synopsis)
+#, no-wrap
+msgid "CompoundMatrix (k,A)"
+msgstr "CompoundMatrix (k,A)"
+
+#: C/genius.xml:2177(para)
+msgid "Calculate the kth compund matrix of A."
+msgstr ""
+
+#: C/genius.xml:2182(term)
+msgid "CountZeroColumns"
+msgstr "CountZeroColumns"
+
+#: C/genius.xml:2184(synopsis)
+#, no-wrap
+msgid "CountZeroColumns (M)"
+msgstr "CountZeroColumns (M)"
+
+#: C/genius.xml:2185(para)
+msgid ""
+"Count the number of zero columns in a matrix. For example Once you column "
+"reduce a matrix you can use this to find the nullity. See <link linkend=\"gel-"
+"function-cref\"><function>cref</function></link> and <link linkend=\"gel-"
+"function-Nullity\"><function>Nullity</function></link>."
+msgstr ""
+
+#: C/genius.xml:2195(term)
+msgid "DeleteColumn"
+msgstr "DeleteColumn"
+
+#: C/genius.xml:2197(synopsis)
+#, no-wrap
+msgid "DeleteColumn (M,col)"
+msgstr "DeleteColumn (M,col)"
+
+#: C/genius.xml:2198(para)
+msgid "Delete a column of a matrix."
+msgstr ""
+
+#: C/genius.xml:2203(term)
+msgid "DeleteRow"
+msgstr "DeleteRow"
+
+#: C/genius.xml:2205(synopsis)
+#, no-wrap
+msgid "DeleteRow (M,row)"
+msgstr "DeleteRow (M,row)"
+
+#: C/genius.xml:2206(para)
+msgid "Delete a row of a matrix."
+msgstr ""
+
+#: C/genius.xml:2211(term)
+msgid "DiagonalOf"
+msgstr "DiagonalOf"
+
+#: C/genius.xml:2213(synopsis)
+#, no-wrap
+msgid "DiagonalOf (M)"
+msgstr "DiagonalOf (M)"
+
+#: C/genius.xml:2214(para)
+msgid "Gets the diagonal entries of a matrix as a column vector."
+msgstr ""
+
+#: C/genius.xml:2219(term)
+msgid "DotProduct"
+msgstr "DotProduct"
+
+#: C/genius.xml:2221(synopsis)
+#, no-wrap
+msgid "DotProduct (u,v)"
+msgstr "DotProduct (u,v)"
+
+#: C/genius.xml:2222(para)
+msgid ""
+"Get the dot product of two vectors. The vectors must be of the same size. No "
+"conjugates are taken so this is a bilinear form even if working over the "
+"complex numbers."
+msgstr ""
+
+#: C/genius.xml:2224(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/DotProduct.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2232(term)
+msgid "ExpandMatrix"
+msgstr "ExpandMatrix"
+
+#: C/genius.xml:2234(synopsis)
+#, no-wrap
+msgid "ExpandMatrix (M)"
+msgstr "ExpandMatrix (M)"
+
+#: C/genius.xml:2235(para)
+msgid ""
+"Expands a matrix just like we do on unquoted matrix input. That is we expand "
+"any internal matrices as blocks. This is a way to construct matrices out of "
+"smaller ones and this is normally done automatically on input unless the "
+"matrix is quoted."
+msgstr ""
+
+#: C/genius.xml:2245(term)
+msgid "HermitianProduct"
+msgstr "HermitianProduct"
+
+#: C/genius.xml:2247(synopsis)
+#, no-wrap
+msgid "HermitianProduct (u,v)"
+msgstr "HermitianProduct (u,v)"
+
+#: C/genius.xml:2248(para)
+msgid "Aliases: <function>InnerProduct</function>"
+msgstr ""
+
+#: C/genius.xml:2249(para)
+msgid ""
+"Get the hermitian product of two vectors. The vectors must be of the same "
+"size. This is a sesquilinear form using the identity matrix."
+msgstr ""
+
+#: C/genius.xml:2250(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/HermitianInnerProduct.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2258(term)
+msgid "I"
+msgstr "I"
+
+#: C/genius.xml:2260(synopsis)
+#, no-wrap
+msgid "I (n)"
+msgstr "I (n)"
+
+#: C/genius.xml:2261(para)
+msgid "Aliases: <function>eye</function>"
+msgstr ""
+
+#: C/genius.xml:2262(para)
+msgid ""
+"Return an identity matrix of a given size, that is <varname>n</varname> by "
+"<varname>n</varname>. If <varname>n</varname> is zero, returns null."
+msgstr ""
+
+#: C/genius.xml:2263(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/IdentityMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2271(term)
+msgid "IndexComplement"
+msgstr "IndexComplement"
+
+#: C/genius.xml:2273(synopsis)
+#, no-wrap
+msgid "IndexComplement (vec,msize)"
+msgstr "IndexComplement (vec,msize)"
+
+#: C/genius.xml:2274(para)
+msgid ""
+"Return the index complement of a vector of indexes. Everything is one based. "
+"For example for vector <userinput>[2,3]</userinput> and size <userinput>5</"
+"userinput>, we return <userinput>[1,4,5]</userinput>. If <varname>msize</"
+"varname> is 0, we always return null."
+msgstr ""
+
+#: C/genius.xml:2281(term)
+msgid "IsDiagonal"
+msgstr "IsDiagonal"
+
+#: C/genius.xml:2283(synopsis)
+#, no-wrap
+msgid "IsDiagonal (M)"
+msgstr "IsDiagonal (M)"
+
+#: C/genius.xml:2284(para)
+msgid "Is a matrix diagonal."
+msgstr ""
+
+#: C/genius.xml:2285(para) C/genius.xml:2431(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/DiagonalMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2293(term)
+msgid "IsIdentity"
+msgstr "IsIdentity"
+
+#: C/genius.xml:2295(synopsis)
+#, no-wrap
+msgid "IsIdentity (x)"
+msgstr "IsIdentity (x)"
+
+#: C/genius.xml:2296(para)
+msgid ""
+"Check if a matrix is the identity matrix. Automatically returns "
+"<varname>false</varname> if the matrix is not square. Also works on numbers, "
+"in which case it is equivalent to <userinput>x==1</userinput>. When "
+"<varname>x</varname> is <literal>null</literal> (we could think of that as a "
+"0 by 0 matrix), no error is generated and <varname>false</varname> is "
+"returned."
+msgstr ""
+
+#: C/genius.xml:2305(term)
+msgid "IsLowerTriangular"
+msgstr "IsLowerTriangular"
+
+#: C/genius.xml:2307(synopsis)
+#, no-wrap
+msgid "IsLowerTriangular (M)"
+msgstr "IsLowerTriangular (M)"
+
+#: C/genius.xml:2308(para)
+msgid ""
+"Is a matrix lower triangular. That is, are all the entries below the diagonal "
+"zero."
+msgstr ""
+
+#: C/genius.xml:2313(term)
+msgid "IsMatrixInteger"
+msgstr "IsMatrixInteger"
+
+#: C/genius.xml:2315(synopsis)
+#, no-wrap
+msgid "IsMatrixInteger (M)"
+msgstr "IsMatrixInteger (M)"
+
+#: C/genius.xml:2316(para)
+msgid "Check if a matrix is a matrix of an integers (non-complex)."
+msgstr ""
+
+#: C/genius.xml:2321(term)
+msgid "IsMatrixNonnegative"
+msgstr "IsMatrixNonnegative"
+
+#: C/genius.xml:2323(synopsis)
+#, no-wrap
+msgid "IsMatrixNonnegative (M)"
+msgstr "IsMatrixNonnegative (M)"
+
+#: C/genius.xml:2324(para)
+msgid ""
+"Check if a matrix is nonnegative, that is if each element is nonnegative. Do "
+"not confuse positive matrices with positive semi-definite matrices."
+msgstr ""
+
+#: C/genius.xml:2326(para) C/genius.xml:2340(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Positive_matrix\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2334(term)
+msgid "IsMatrixPositive"
+msgstr "IsMatrixPositive"
+
+#: C/genius.xml:2336(synopsis)
+#, no-wrap
+msgid "IsMatrixPositive (M)"
+msgstr "IsMatrixPositive (M)"
+
+#: C/genius.xml:2337(para)
+msgid ""
+"Check if a matrix is positive, that is if each element is positive (and hence "
+"real). In particular, no element is 0. Do not confuse positive matrices with "
+"positive definite matrices."
+msgstr ""
+
+#: C/genius.xml:2348(term)
+msgid "IsMatrixRational"
+msgstr "IsMatrixRational"
+
+#: C/genius.xml:2350(synopsis)
+#, no-wrap
+msgid "IsMatrixRational (M)"
+msgstr "IsMatrixRational (M)"
+
+#: C/genius.xml:2351(para)
+msgid "Check if a matrix is a matrix of rational (non-complex) numbers."
+msgstr ""
+
+#: C/genius.xml:2357(term)
+msgid "IsMatrixReal"
+msgstr "IsMatrixReal"
+
+#: C/genius.xml:2359(synopsis)
+#, no-wrap
+msgid "IsMatrixReal (M)"
+msgstr "IsMatrixReal (M)"
+
+#: C/genius.xml:2360(para)
+msgid "Check if a matrix is a matrix of real (non-complex) numbers."
+msgstr ""
+
+#: C/genius.xml:2365(term)
+msgid "IsMatrixSquare"
+msgstr "IsMatrixSquare"
+
+#: C/genius.xml:2367(synopsis)
+#, no-wrap
+msgid "IsMatrixSquare (M)"
+msgstr "IsMatrixSquare (M)"
+
+#: C/genius.xml:2368(para)
+msgid "Check if a matrix is square, that is its width is equal to its height."
+msgstr ""
+
+#: C/genius.xml:2376(term)
+msgid "IsUpperTriangular"
+msgstr "IsUpperTriangular"
+
+#: C/genius.xml:2378(synopsis)
+#, no-wrap
+msgid "IsUpperTriangular (M)"
+msgstr "IsUpperTriangular (M)"
+
+#: C/genius.xml:2379(para)
+msgid ""
+"Is a matrix upper triangular? That is, a matrix is upper triangular if all "
+"all the entries below the diagonal are zero."
+msgstr ""
+
+#: C/genius.xml:2384(term)
+msgid "IsValueOnly"
+msgstr "IsValueOnly"
+
+#: C/genius.xml:2386(synopsis)
+#, no-wrap
+msgid "IsValueOnly (M)"
+msgstr "IsValueOnly (M)"
+
+#: C/genius.xml:2387(para)
+msgid ""
+"Check if a matrix is a matrix of numbers only. Many internal functions make "
+"this check. Values can be any number including complex numbers."
+msgstr ""
+
+#: C/genius.xml:2393(term)
+msgid "IsVector"
+msgstr "IsVector"
+
+#: C/genius.xml:2395(synopsis)
+#, no-wrap
+msgid "IsVector (v)"
+msgstr "IsVector (v)"
+
+#: C/genius.xml:2396(para)
+msgid ""
+"Is argument a horizontal or a vertical vector. Genius does not distinguish "
+"between a matrix and a vector and a vector is just a 1 by <varname>n</"
+"varname> or <varname>n</varname> by 1 matrix."
+msgstr ""
+
+#: C/genius.xml:2405(term)
+msgid "IsZero"
+msgstr "IsZero"
+
+#: C/genius.xml:2407(synopsis)
+#, no-wrap
+msgid "IsZero (x)"
+msgstr "IsZero (x)"
+
+#: C/genius.xml:2408(para)
+msgid ""
+"Check if a matrix is composed of all zeros. Also works on numbers, in which "
+"case it is equivalent to <userinput>x==0</userinput>. When <varname>x</"
+"varname> is <literal>null</literal> (we could think of that as a 0 by 0 "
+"matrix), no error is generated and <varname>true</varname> is returned as the "
+"condition is vacuous."
+msgstr ""
+
+#: C/genius.xml:2418(term)
+msgid "LowerTriangular"
+msgstr "LowerTriangular"
+
+#: C/genius.xml:2420(synopsis)
+#, no-wrap
+msgid "LowerTriangular (M)"
+msgstr "LowerTriangular (M)"
+
+#: C/genius.xml:2421(para)
+msgid ""
+"Returns a copy of the matrix <varname>M</varname> with all the entries above "
+"the diagonal set to zero."
+msgstr ""
+
+#: C/genius.xml:2426(term)
+msgid "MakeDiagonal"
+msgstr "MakeDiagonal"
+
+#: C/genius.xml:2428(synopsis)
+#, no-wrap
+msgid "MakeDiagonal (v,arg...)"
+msgstr "MakeDiagonal (v,arg...)"
+
+#: C/genius.xml:2429(para)
+msgid "Aliases: <function>diag</function>"
+msgstr ""
+
+#: C/genius.xml:2430(para)
+msgid "Make diagonal matrix from a vector."
+msgstr ""
+
+#: C/genius.xml:2439(term)
+msgid "MakeVector"
+msgstr "MakeVector"
+
+#: C/genius.xml:2441(synopsis)
+#, no-wrap
+msgid "MakeVector (A)"
+msgstr "MakeVector (A)"
+
+#: C/genius.xml:2442(para)
+msgid ""
+"Make column vector out of matrix by putting columns above each other. Returns "
+"null when given null."
+msgstr ""
+
+#: C/genius.xml:2448(term)
+msgid "MatrixProduct"
+msgstr "MatrixProduct"
+
+#: C/genius.xml:2450(synopsis)
+#, no-wrap
+msgid "MatrixProduct (A)"
+msgstr "MatrixProduct (A)"
+
+#: C/genius.xml:2451(para)
+msgid ""
+"Calculate the product of all elements in a matrix or vector. That is we "
+"multiply all the elements and return a number that is the product of all the "
+"elements."
+msgstr ""
+
+#: C/genius.xml:2460(term)
+msgid "MatrixSum"
+msgstr "MatrixSum"
+
+#: C/genius.xml:2462(synopsis)
+#, no-wrap
+msgid "MatrixSum (A)"
+msgstr "MatrixSum (A)"
+
+#: C/genius.xml:2463(para)
+msgid ""
+"Calculate the sum of all elements in a matrix or vecgtor. That is we add all "
+"the elements and return a number that is the sum of all the elements."
+msgstr ""
+
+#: C/genius.xml:2472(term)
+msgid "MatrixSumSquares"
+msgstr "MatrixSumSquares"
+
+#: C/genius.xml:2474(synopsis)
+#, no-wrap
+msgid "MatrixSumSquares (A)"
+msgstr "MatrixSumSquares (A)"
+
+#: C/genius.xml:2475(para)
+msgid "Calculate the sum of squares of all elements in a matrix or vector."
+msgstr ""
+
+#: C/genius.xml:2481(term)
+msgid "OuterProduct"
+msgstr "OuterProduct"
+
+#: C/genius.xml:2483(synopsis)
+#, no-wrap
+msgid "OuterProduct (u,v)"
+msgstr "OuterProduct (u,v)"
+
+#: C/genius.xml:2484(para)
+msgid ""
+"Get the outer product of two vectors. That is, suppose that <varname>u</"
+"varname> and <varname>v</varname> are vertical vectors, then the outer "
+"product is <userinput>v * u.'</userinput>."
+msgstr ""
+
+#: C/genius.xml:2491(term)
+msgid "ReverseVector"
+msgstr "ReverseVector"
+
+#: C/genius.xml:2493(synopsis)
+#, no-wrap
+msgid "ReverseVector (v)"
+msgstr "ReverseVector (v)"
+
+#: C/genius.xml:2494(para)
+msgid "Reverse elements in a vector."
+msgstr ""
+
+#: C/genius.xml:2499(term)
+msgid "RowSum"
+msgstr "RowSum"
+
+#: C/genius.xml:2501(synopsis)
+#, no-wrap
+msgid "RowSum (m)"
+msgstr "RowSum (m)"
+
+#: C/genius.xml:2502(para)
+msgid ""
+"Calculate sum of each row in a matrix and return a vertical vector with the "
+"result."
+msgstr ""
+
+#: C/genius.xml:2508(term)
+msgid "RowSumSquares"
+msgstr "RowSumSquares"
+
+#: C/genius.xml:2510(synopsis)
+#, no-wrap
+msgid "RowSumSquares (m)"
+msgstr "RowSumSquares (m)"
+
+#: C/genius.xml:2511(para)
+msgid "Calculate sum of squares of each row in a matrix."
+msgstr ""
+
+#: C/genius.xml:2516(term)
+msgid "RowsOf"
+msgstr "RowsOf"
+
+#: C/genius.xml:2518(synopsis)
+#, no-wrap
+msgid "RowsOf (M)"
+msgstr "RowsOf (M)"
+
+#: C/genius.xml:2519(para)
+msgid ""
+"Gets the rows of a matrix as a vertical vector. Each element of the vector is "
+"a horizontal vector which is the corresponding row of <varname>M</varname>. "
+"This function is useful if you wish to loop over the rows of a matrix. For "
+"example, as <userinput>for r in RowsOf(M) do\n"
+"something(r)</userinput>."
+msgstr ""
+
+#: C/genius.xml:2528(term)
+msgid "SetMatrixSize"
+msgstr "SetMatrixSize"
+
+#: C/genius.xml:2530(synopsis)
+#, no-wrap
+msgid "SetMatrixSize (M,rows,columns)"
+msgstr "SetMatrixSize (M,rows,columns)"
+
+#: C/genius.xml:2531(para)
+msgid ""
+"Make new matrix of given size from old one. That is, a new matrix will be "
+"returned to which the old one is copied. Entries that don't fit are clipped "
+"and extra space is filled with zeros. if <varname>rows</varname> or "
+"<varname>columns</varname> are zero then null is returned."
+msgstr ""
+
+#: C/genius.xml:2541(term)
+msgid "SortVector"
+msgstr "SortVector"
+
+#: C/genius.xml:2543(synopsis)
+#, no-wrap
+msgid "SortVector (v)"
+msgstr "SortVector (v)"
+
+#: C/genius.xml:2544(para)
+msgid "Sort vector elements in an increasing order."
+msgstr ""
+
+#: C/genius.xml:2549(term)
+msgid "StripZeroColumns"
+msgstr "StripZeroColumns"
+
+#: C/genius.xml:2551(synopsis)
+#, no-wrap
+msgid "StripZeroColumns (M)"
+msgstr "StripZeroColumns (M)"
+
+#: C/genius.xml:2552(para)
+msgid "Removes any all-zero columns of <varname>M</varname>."
+msgstr ""
+
+#: C/genius.xml:2557(term)
+msgid "StripZeroRows"
+msgstr "StripZeroRows"
+
+#: C/genius.xml:2559(synopsis)
+#, no-wrap
+msgid "StripZeroRows (M)"
+msgstr "StripZeroRows (M)"
+
+#: C/genius.xml:2560(para)
+msgid "Removes any all-zero rows of <varname>M</varname>."
+msgstr ""
+
+#: C/genius.xml:2565(term)
+msgid "Submatrix"
+msgstr "Submatrix"
+
+#: C/genius.xml:2567(synopsis)
+#, no-wrap
+msgid "Submatrix (m,r,c)"
+msgstr "Submatrix (m,r,c)"
+
+#: C/genius.xml:2568(para)
+msgid ""
+"Return column(s) and row(s) from a matrix. This is just equivalent to "
+"<userinput>m@(r,c)</userinput>. <varname>r</varname> and <varname>c</varname> "
+"should be vectors of rows and columns (or single numbers if only one row or "
+"column is needed)."
+msgstr ""
+
+#: C/genius.xml:2575(term)
+msgid "SwapRows"
+msgstr "SwapRows"
+
+#: C/genius.xml:2577(synopsis)
+#, no-wrap
+msgid "SwapRows (m,row1,row2)"
+msgstr "SwapRows (m,row1,row2)"
+
+#: C/genius.xml:2578(para)
+msgid "Swap two rows in a matrix."
+msgstr ""
+
+#: C/genius.xml:2583(term)
+msgid "UpperTriangular"
+msgstr "UpperTriangular"
+
+#: C/genius.xml:2585(synopsis)
+#, no-wrap
+msgid "UpperTriangular (M)"
+msgstr "UpperTriangular (M)"
+
+#: C/genius.xml:2586(para)
+msgid ""
+"Returns a copy of the matrix <varname>M</varname> with all the entries below "
+"the diagonal set to zero."
+msgstr ""
+
+#: C/genius.xml:2591(term)
+msgid "columns"
+msgstr "columns"
+
+#: C/genius.xml:2593(synopsis)
+#, no-wrap
+msgid "columns (M)"
+msgstr "columns (M)"
+
+#: C/genius.xml:2594(para)
+msgid "Get the number of columns of a matrix."
+msgstr ""
+
+#: C/genius.xml:2599(term)
+msgid "elements"
+msgstr "elements"
+
+#: C/genius.xml:2601(synopsis)
+#, no-wrap
+msgid "elements (M)"
+msgstr "elements (M)"
+
+#: C/genius.xml:2602(para)
+msgid ""
+"Get the total number of elements of a matrix. This is the number of columns "
+"times the number of rows."
+msgstr ""
+
+#: C/genius.xml:2608(term)
+msgid "ones"
+msgstr "ones"
+
+#: C/genius.xml:2610(synopsis)
+#, no-wrap
+msgid "ones (rows,columns...)"
+msgstr "ones (rows,columns...)"
+
+#: C/genius.xml:2611(para)
+msgid ""
+"Make an matrix of all ones (or a row vector if only one argument is given). "
+"Returns null if either rows or columns are zero."
+msgstr ""
+
+#: C/genius.xml:2616(term)
+msgid "rows"
+msgstr "rows"
+
+#: C/genius.xml:2618(synopsis)
+#, no-wrap
+msgid "rows (M)"
+msgstr "rows (M)"
+
+#: C/genius.xml:2619(para)
+msgid "Get the number of rows of a matrix."
+msgstr ""
+
+#: C/genius.xml:2624(term)
+msgid "zeros"
+msgstr "zeros"
+
+#: C/genius.xml:2626(synopsis)
+#, no-wrap
+msgid "zeros (rows,columns...)"
+msgstr "zeros (rows,columns...)"
+
+#: C/genius.xml:2627(para)
+msgid ""
+"Make a matrix of all zeros (or a row vector if only one argument is given). "
+"Returns null if either rows or columns are zero."
+msgstr ""
+
+#: C/genius.xml:2638(term)
+msgid "AuxilliaryUnitMatrix"
+msgstr "AuxilliaryUnitMatrix"
+
+#: C/genius.xml:2640(synopsis)
+#, no-wrap
+msgid "AuxilliaryUnitMatrix (n)"
+msgstr "AuxilliaryUnitMatrix (n)"
+
+#: C/genius.xml:2641(para)
+msgid ""
+"Get the auxilliary unit matrix of size <varname>n</varname>. This is a square "
+"matrix matrix with that is all zero except the superdiagonal being all ones. "
+"It is the Jordan block matrix of one zero eigenvalue."
+msgstr ""
+
+#: C/genius.xml:2643(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/";
+"JordanCanonicalFormTheorem.html\">Planetmath</ulink> or <ulink url=\"http://";
+"mathworld.wolfram.com/JordanBlock.html\">Mathworld</ulink> for more "
+"information on Jordan Cannonical Form."
+msgstr ""
+
+#: C/genius.xml:2652(term)
+msgid "BilinearForm"
+msgstr "BilinearForm"
+
+#: C/genius.xml:2654(synopsis)
+#, no-wrap
+msgid "BilinearForm (v,A,w)"
+msgstr "BilinearForm (v,A,w)"
+
+#: C/genius.xml:2655(para)
+msgid "Evaluate (v,w) with respect to the bilinear form given by the matrix A."
+msgstr ""
+
+#: C/genius.xml:2660(term)
+msgid "BilinearFormFunction"
+msgstr "BilinearFormFunction"
+
+#: C/genius.xml:2662(synopsis)
+#, no-wrap
+msgid "BilinearFormFunction (A)"
+msgstr "BilinearFormFunction (A)"
+
+#: C/genius.xml:2663(para)
+msgid ""
+"Return a function that evaluates two vectors with respect to the bilinear "
+"form given by A."
+msgstr ""
+
+#: C/genius.xml:2668(term)
+msgid "CharacteristicPolynomial"
+msgstr "CharacteristicPolynomial"
+
+#: C/genius.xml:2670(synopsis)
+#, no-wrap
+msgid "CharacteristicPolynomial (M)"
+msgstr "CharacteristicPolynomial (M)"
+
+#: C/genius.xml:2671(para)
+msgid "Aliases: <function>CharPoly</function>"
+msgstr ""
+
+#: C/genius.xml:2672(para)
+msgid ""
+"Get the characteristic polynomial as a vector. That is, return the "
+"coefficients of the polynomial starting with the constant term. This is the "
+"polynomial defined by <userinput>det(M-xI)</userinput>. The roots of this "
+"polynomial are the eigenvalues of <varname>M</varname>. See also <link "
+"linkend=\"gel-function-CharacteristicPolynomialFunction"
+"\">CharacteristicPolynomialFunction</link>."
+msgstr ""
+
+#: C/genius.xml:2678(para) C/genius.xml:2694(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/CharacteristicEquation.";
+"html\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2686(term)
+msgid "CharacteristicPolynomialFunction"
+msgstr "CharacteristicPolynomialFunction"
+
+#: C/genius.xml:2688(synopsis)
+#, no-wrap
+msgid "CharacteristicPolynomialFunction (M)"
+msgstr "CharacteristicPolynomialFunction (M)"
+
+#: C/genius.xml:2689(para)
+msgid ""
+"Get the characteristic polynomial as a function. This is the polynomial "
+"defined by <userinput>det(M-xI)</userinput>. The roots of this polynomial are "
+"the eigenvalues of <varname>M</varname>. See also <link linkend=\"gel-"
+"function-CharacteristicPolynomial\">CharacteristicPolynomial</link>."
+msgstr ""
+
+#: C/genius.xml:2702(term)
+msgid "ColumnSpace"
+msgstr "ColumnSpace"
+
+#: C/genius.xml:2704(synopsis)
+#, no-wrap
+msgid "ColumnSpace (M)"
+msgstr "ColumnSpace (M)"
+
+#: C/genius.xml:2705(para)
+msgid ""
+"Get a basis matrix for the columnspace of a matrix. That is, return a matrix "
+"whose columns are the basis for the column space of <varname>M</varname>. "
+"That is the space spanned by the columns of <varname>M</varname>."
+msgstr ""
+
+#: C/genius.xml:2713(term)
+msgid "CommutationMatrix"
+msgstr "CommutationMatrix"
+
+#: C/genius.xml:2715(synopsis)
+#, no-wrap
+msgid "CommutationMatrix (m, n)"
+msgstr "CommutationMatrix (m, n)"
+
+#: C/genius.xml:2716(para)
+msgid ""
+"Return the commutation matrix K(m,n) which is the unique m*n by m*n matrix "
+"such that K(m,n) * MakeVector(A) = MakeVector(A.') for all m by n matrices A."
+msgstr ""
+
+#: C/genius.xml:2723(term)
+msgid "CompanionMatrix"
+msgstr "CompanionMatrix"
+
+#: C/genius.xml:2725(synopsis)
+#, no-wrap
+msgid "CompanionMatrix (p)"
+msgstr "CompanionMatrix (p)"
+
+#: C/genius.xml:2726(para)
+msgid "Companion matrix of a polynomial (as vector)."
+msgstr ""
+
+#: C/genius.xml:2731(term)
+msgid "ConjugateTranspose"
+msgstr "ConjugateTranspose"
+
+#: C/genius.xml:2733(synopsis)
+#, no-wrap
+msgid "ConjugateTranspose (M)"
+msgstr "ConjugateTranspose (M)"
+
+#: C/genius.xml:2734(para)
+msgid ""
+"Conjugate transpose of a matrix (adjoint). This is the same as the "
+"<userinput>'</userinput> operator."
+msgstr ""
+
+#: C/genius.xml:2736(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/ConjugateTranspose.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2744(term)
+msgid "Convolution"
+msgstr "Convolution"
+
+#: C/genius.xml:2746(synopsis)
+#, no-wrap
+msgid "Convolution (a,b)"
+msgstr "Convolution (a,b)"
+
+#: C/genius.xml:2747(para)
+msgid "Aliases: <function>convol</function>"
+msgstr ""
+
+#: C/genius.xml:2748(para)
+msgid "Calculate convolution of two horizontal vectors."
+msgstr ""
+
+#: C/genius.xml:2753(term)
+msgid "ConvolutionVector"
+msgstr "ConvolutionVector"
+
+#: C/genius.xml:2755(synopsis)
+#, no-wrap
+msgid "ConvolutionVector (a,b)"
+msgstr "ConvolutionVector (a,b)"
+
+#: C/genius.xml:2756(para)
+msgid ""
+"Calculate convolution of two horizontal vectors. Return result as a vector "
+"and not added together."
+msgstr ""
+
+#: C/genius.xml:2762(term)
+msgid "CrossProduct"
+msgstr "CrossProduct"
+
+#: C/genius.xml:2764(synopsis)
+#, no-wrap
+msgid "CrossProduct (v,w)"
+msgstr "CrossProduct (v,w)"
+
+#: C/genius.xml:2765(para)
+msgid "CrossProduct of two vectors in R<superscript>3</superscript>."
+msgstr ""
+
+#: C/genius.xml:2770(term)
+msgid "DeterminantalDivisorsInteger"
+msgstr "DeterminantalDivisorsInteger"
+
+#: C/genius.xml:2772(synopsis)
+#, no-wrap
+msgid "DeterminantalDivisorsInteger (M)"
+msgstr "DeterminantalDivisorsInteger (M)"
+
+#: C/genius.xml:2773(para)
+msgid ""
+"Get the determinantal divisors of an integer matrix (not its characteristic)."
+msgstr ""
+
+#: C/genius.xml:2778(term)
+msgid "DirectSum"
+msgstr "DirectSum"
+
+#: C/genius.xml:2780(synopsis)
+#, no-wrap
+msgid "DirectSum (M,N...)"
+msgstr "DirectSum (M,N...)"
+
+#: C/genius.xml:2781(para)
+msgid "Direct sum of matrices."
+msgstr ""
+
+#: C/genius.xml:2786(term)
+msgid "DirectSumMatrixVector"
+msgstr "DirectSumMatrixVector"
+
+#: C/genius.xml:2788(synopsis)
+#, no-wrap
+msgid "DirectSumMatrixVector (v)"
+msgstr "DirectSumMatrixVector (v)"
+
+#: C/genius.xml:2789(para)
+msgid "Direct sum of a vector of matrices."
+msgstr ""
+
+#: C/genius.xml:2794(term)
+msgid "Eigenvalues"
+msgstr "Eigenvalues"
+
+#: C/genius.xml:2796(synopsis)
+#, no-wrap
+msgid "Eigenvalues (M)"
+msgstr "Eigenvalues (M)"
+
+#: C/genius.xml:2797(para)
+msgid "Aliases: <function>eig</function>"
+msgstr ""
+
+#: C/genius.xml:2798(para)
+msgid ""
+"Get the eigenvalues of a square matrix. Currently only works for matrices of "
+"size up to 4 by 4, or for triangular matrices (for which the eigenvalues are "
+"on the diagonal)."
+msgstr ""
+
+#: C/genius.xml:2803(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Eigenvalue\";>Wikipedia</ulink> "
+"or <ulink url=\"http://planetmath.org/encyclopedia/Eigenvalue.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/Eigenvalue.";
+"html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2813(term)
+msgid "Eigenvectors"
+msgstr "Eigenvectors"
+
+#: C/genius.xml:2815(synopsis)
+#, no-wrap
+msgid "Eigenvectors (M)"
+msgstr "Eigenvectors (M)"
+
+#: C/genius.xml:2816(synopsis)
+#, no-wrap
+msgid "Eigenvectors (M, &amp;eigenvalues)"
+msgstr "Eigenvectors (M, &amp;eigenvalues)"
+
+#: C/genius.xml:2817(synopsis)
+#, no-wrap
+msgid "Eigenvectors (M, &amp;eigenvalues, &amp;multiplicities)"
+msgstr "Eigenvectors (M, &amp;eigenvalues, &amp;multiplicities)"
+
+#: C/genius.xml:2818(para)
+msgid ""
+"Get the eigenvectors of a square matrix. Optionally get also the eigenvalues "
+"and their algebraic multiplicities. Currently only works for matrices of size "
+"up to 2 by 2."
+msgstr ""
+
+#: C/genius.xml:2822(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Eigenvector\";>Wikipedia</ulink> "
+"or <ulink url=\"http://planetmath.org/encyclopedia/Eigenvector.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"Eigenvector.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2832(term)
+msgid "GramSchmidt"
+msgstr "GramSchmidt"
+
+#: C/genius.xml:2834(synopsis)
+#, no-wrap
+msgid "GramSchmidt (v,B...)"
+msgstr "GramSchmidt (v,B...)"
+
+#: C/genius.xml:2835(para)
+msgid ""
+"Apply the Gram-Schmidt process (to the columns) with respect to inner product "
+"given by <varname>B</varname>. If <varname>B</varname> is not given then the "
+"standard hermitian product is used. <varname>B</varname> can either be a "
+"sesquilinear function of two arguments or it can be a matrix giving a "
+"sesquilinear form. The vectors will be made orthonormal with respect to "
+"<varname>B</varname>."
+msgstr ""
+
+#: C/genius.xml:2841(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/";
+"GramSchmidtOrthogonalization.html\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2849(term)
+msgid "HankelMatrix"
+msgstr "HankelMatrix"
+
+#: C/genius.xml:2851(synopsis)
+#, no-wrap
+msgid "HankelMatrix (c,r)"
+msgstr "HankelMatrix (c,r)"
+
+#: C/genius.xml:2852(para)
+msgid "Hankel matrix."
+msgstr ""
+
+#: C/genius.xml:2857(term)
+msgid "HilbertMatrix"
+msgstr "HilbertMatrix"
+
+#: C/genius.xml:2859(synopsis)
+#, no-wrap
+msgid "HilbertMatrix (n)"
+msgstr "HilbertMatrix (n)"
+
+#: C/genius.xml:2860(para)
+msgid "Hilbert matrix of order <varname>n</varname>."
+msgstr ""
+
+#: C/genius.xml:2861(para) C/genius.xml:2897(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/HilbertMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2869(term)
+msgid "Image"
+msgstr "Image"
+
+#: C/genius.xml:2871(synopsis)
+#, no-wrap
+msgid "Image (T)"
+msgstr "Image (T)"
+
+#: C/genius.xml:2872(para)
+msgid "Get the image (columnspace) of a linear transform."
+msgstr ""
+
+#: C/genius.xml:2877(term)
+msgid "InfNorm"
+msgstr "InfNorm"
+
+#: C/genius.xml:2879(synopsis)
+#, no-wrap
+msgid "InfNorm (v)"
+msgstr "InfNorm (v)"
+
+#: C/genius.xml:2880(para)
+msgid ""
+"Get the Inf Norm of a vector, sometimes called the sup norm or the max norm."
+msgstr ""
+
+#: C/genius.xml:2885(term)
+msgid "InvariantFactorsInteger"
+msgstr "InvariantFactorsInteger"
+
+#: C/genius.xml:2887(synopsis)
+#, no-wrap
+msgid "InvariantFactorsInteger (M)"
+msgstr "InvariantFactorsInteger (M)"
+
+#: C/genius.xml:2888(para)
+msgid ""
+"Get the invariant factors of a square integer matrix (not its characteristic)."
+msgstr ""
+
+#: C/genius.xml:2893(term)
+msgid "InverseHilbertMatrix"
+msgstr "InverseHilbertMatrix"
+
+#: C/genius.xml:2895(synopsis)
+#, no-wrap
+msgid "InverseHilbertMatrix (n)"
+msgstr "InverseHilbertMatrix (n)"
+
+#: C/genius.xml:2896(para)
+msgid "Inverse Hilbert matrix of order <varname>n</varname>."
+msgstr ""
+
+#: C/genius.xml:2905(term)
+msgid "IsHermitian"
+msgstr "IsHermitian"
+
+#: C/genius.xml:2907(synopsis)
+#, no-wrap
+msgid "IsHermitian (M)"
+msgstr "IsHermitian (M)"
+
+#: C/genius.xml:2908(para)
+msgid "Is a matrix hermitian. That is, is it equal to its conjugate transpose."
+msgstr ""
+
+#: C/genius.xml:2909(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/HermitianMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2917(term)
+msgid "IsInSubspace"
+msgstr "IsInSubspace"
+
+#: C/genius.xml:2919(synopsis)
+#, no-wrap
+msgid "IsInSubspace (v,W)"
+msgstr "IsInSubspace (v,W)"
+
+#: C/genius.xml:2920(para)
+msgid "Test if a vector is in a subspace."
+msgstr ""
+
+#: C/genius.xml:2925(term)
+msgid "IsInvertible"
+msgstr "IsInvertible"
+
+#: C/genius.xml:2927(synopsis)
+#, no-wrap
+msgid "IsInvertible (n)"
+msgstr "IsInvertible (n)"
+
+#: C/genius.xml:2928(para)
+msgid ""
+"Is a matrix (or number) invertible (Integer matrix is invertible iff it's "
+"invertible over the integers)."
+msgstr ""
+
+#: C/genius.xml:2933(term)
+msgid "IsInvertibleField"
+msgstr "IsInvertibleField"
+
+#: C/genius.xml:2935(synopsis)
+#, no-wrap
+msgid "IsInvertibleField (n)"
+msgstr "IsInvertibleField (n)"
+
+#: C/genius.xml:2936(para)
+msgid "Is a matrix (or number) invertible over a field."
+msgstr ""
+
+#: C/genius.xml:2941(term)
+msgid "IsNormal"
+msgstr "IsNormal"
+
+#: C/genius.xml:2943(synopsis)
+#, no-wrap
+msgid "IsNormal (M)"
+msgstr "IsNormal (M)"
+
+#: C/genius.xml:2944(para)
+msgid ""
+"Is <varname>M</varname> a normal matrix. That is, does <userinput>M*M' == "
+"M'*M</userinput>."
+msgstr ""
+
+#: C/genius.xml:2946(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/NormalMatrix.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"NormalMatrix.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2955(term)
+msgid "IsPositiveDefinite"
+msgstr "IsPositiveDefinite"
+
+#: C/genius.xml:2957(synopsis)
+#, no-wrap
+msgid "IsPositiveDefinite (M)"
+msgstr "IsPositiveDefinite (M)"
+
+#: C/genius.xml:2958(para)
+msgid ""
+"Is <varname>M</varname> a hermitian positive definite matrix. That is if "
+"<userinput>HermitianProduct(M*v,v)</userinput> is always strictly positive "
+"for any vector <varname>v</varname>. <varname>M</varname> must be square and "
+"hermitian to be positive definite. The check that is performed is that every "
+"principal submatrix has a nonnegative determinant. (See <link linkend=\"gel-"
+"function-HermitianProduct\">HermitianProduct</link>)"
+msgstr ""
+
+#: C/genius.xml:2965(para)
+msgid ""
+"Note that some authors (for example Mathworld) do not require that "
+"<varname>M</varname> be hermitian, and then the condition is on the real part "
+"of the inner product, but we do not take this view. If you wish to perform "
+"this check, just check the hermitian part of the matrix <varname>M</varname> "
+"as follows: <userinput>IsPositiveDefinite(M+M')</userinput>."
+msgstr ""
+
+#: C/genius.xml:2973(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/PositiveDefinite.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"PositiveDefiniteMatrix.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2982(term)
+msgid "IsPositiveSemidefinite"
+msgstr "IsPositiveSemidefinite"
+
+#: C/genius.xml:2984(synopsis)
+#, no-wrap
+msgid "IsPositiveSemidefinite (M)"
+msgstr "IsPositiveSemidefinite (M)"
+
+#: C/genius.xml:2985(para)
+msgid ""
+"Is <varname>M</varname> a hermitian positive semidefinite matrix. That is if "
+"<userinput>HermitianProduct(M*v,v)</userinput> is always nonnegative for any "
+"vector <varname>v</varname>. <varname>M</varname> must be square and "
+"hermitian to be positive semidefinite. The check that is performed is that "
+"every principal submatrix has a nonnegative determinant. (See <link linkend="
+"\"gel-function-HermitianProduct\">HermitianProduct</link>)"
+msgstr ""
+
+#: C/genius.xml:2992(para)
+msgid ""
+"Note that some authors do not require that <varname>M</varname> be hermitian, "
+"and then the condition is on the real part of the inner product, but we do "
+"not take this view. If you wish to perform this check, just check the "
+"hermitian part of the matrix <varname>M</varname> as follows: "
+"<userinput>IsPositiveSemidefinite(M+M')</userinput>."
+msgstr ""
+
+#: C/genius.xml:3000(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/PositiveSemidefinite.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"PositiveSemidefiniteMatrix.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3009(term)
+msgid "IsSkewHermitian"
+msgstr "IsSkewHermitian"
+
+#: C/genius.xml:3011(synopsis)
+#, no-wrap
+msgid "IsSkewHermitian (M)"
+msgstr "IsSkewHermitian (M)"
+
+#: C/genius.xml:3012(para)
+msgid ""
+"Is a matrix skew-hermitian. That is, is the conjugate transpose equal to "
+"negative of the matrix."
+msgstr ""
+
+#: C/genius.xml:3013(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/SkewHermitianMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3021(term)
+msgid "IsUnitary"
+msgstr "IsUnitary"
+
+#: C/genius.xml:3023(synopsis)
+#, no-wrap
+msgid "IsUnitary (M)"
+msgstr "IsUnitary (M)"
+
+#: C/genius.xml:3024(para)
+msgid ""
+"Is a matrix unitary? That is, does <userinput>M'*M</userinput> and "
+"<userinput>M*M'</userinput> equal the identity."
+msgstr ""
+
+#: C/genius.xml:3027(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/UnitaryTransformation.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"UnitaryMatrix.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3036(term)
+msgid "JordanBlock"
+msgstr "JordanBlock"
+
+#: C/genius.xml:3038(synopsis)
+#, no-wrap
+msgid "JordanBlock (n,lambda)"
+msgstr "JordanBlock (n,lambda)"
+
+#: C/genius.xml:3039(para)
+msgid "Aliases: <function>J</function>"
+msgstr ""
+
+#: C/genius.xml:3040(para)
+msgid ""
+"Get the Jordan block corresponding to the eigenvalue <varname>lambda</"
+"varname> with multiplicity <varname>n</varname>."
+msgstr ""
+
+#: C/genius.xml:3043(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/";
+"JordanCanonicalFormTheorem.html\">Planetmath</ulink> or <ulink url=\"http://";
+"mathworld.wolfram.com/JordanBlock.html\">Mathworld</ulink> for more "
+"information."
+msgstr ""
+
+#: C/genius.xml:3052(term)
+msgid "Kernel"
+msgstr "Kernel"
+
+#: C/genius.xml:3054(synopsis)
+#, no-wrap
+msgid "Kernel (T)"
+msgstr "Kernel (T)"
+
+#: C/genius.xml:3055(para)
+msgid "Get the kernel (nullspace) of a linear transform."
+msgstr ""
+
+#: C/genius.xml:3056(para)
+msgid "(See <link linkend=\"gel-function-NullSpace\">NullSpace</link>)"
+msgstr ""
+
+#: C/genius.xml:3063(term)
+msgid "LUDecomposition"
+msgstr "LUDecomposition"
+
+#: C/genius.xml:3065(synopsis)
+#, no-wrap
+msgid "LUDecomposition (A, L, U)"
+msgstr "LUDecomposition (A, L, U)"
+
+#: C/genius.xml:3066(para)
+msgid ""
+"Get the LU decomposition of <varname>A</varname> and store the result in the "
+"<varname>L</varname> and <varname>U</varname> which should be references. It "
+"returns true if successful. For example suppose that A is a square matrix, "
+"then after running: <screen><prompt>genius&gt;</prompt> "
+"<userinput>LUDecomposition(A,&amp;L,&amp;U)</userinput>\n"
+"</screen> You will have the lower matrix stored in a variable called "
+"<varname>L</varname> and the upper matrix in a variable called <varname>U</"
+"varname>."
+msgstr ""
+
+#: C/genius.xml:3078(para)
+msgid ""
+"This is the LU decomposition of a matrix aka Crout and/or Cholesky reduction. "
+"(ISBN 0-201-11577-8 pp.99-103) The upper triangular matrix features a "
+"diagonal of values 1 (one). This is not Doolittle's Method which features the "
+"1's diagonal on the lower matrix."
+msgstr ""
+
+#: C/genius.xml:3086(para)
+msgid ""
+"Not all matrices have LU decompositions, for example <userinput>[0,1;1,0]</"
+"userinput> does not and this function returns <literal>false</literal> in "
+"this case and sets <varname>L</varname> and <varname>U</varname> to null."
+msgstr ""
+
+#: C/genius.xml:3092(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/LUDecomposition.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"LUDecomposition.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3101(term)
+msgid "Minor"
+msgstr "Minor"
+
+#: C/genius.xml:3103(synopsis)
+#, no-wrap
+msgid "Minor (M,i,j)"
+msgstr "Minor (M,i,j)"
+
+#: C/genius.xml:3104(para)
+msgid "Get the <varname>i</varname>-<varname>j</varname> minor of a matrix."
+msgstr ""
+
+#: C/genius.xml:3105(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Minor.html\";>Planetmath</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3113(term)
+msgid "NonPivotColumns"
+msgstr "NonPivotColumns"
+
+#: C/genius.xml:3115(synopsis)
+#, no-wrap
+msgid "NonPivotColumns (M)"
+msgstr "NonPivotColumns (M)"
+
+#: C/genius.xml:3116(para)
+msgid "Return the columns that are not the pivot columns of a matrix."
+msgstr ""
+
+#: C/genius.xml:3121(term)
+msgid "Norm"
+msgstr "Norm"
+
+#: C/genius.xml:3123(synopsis)
+#, no-wrap
+msgid "Norm (v,p...)"
+msgstr "Norm (v,p...)"
+
+#: C/genius.xml:3124(para)
+msgid "Aliases: <function>norm</function>"
+msgstr ""
+
+#: C/genius.xml:3125(para)
+msgid "Get the p Norm (or 2 Norm if no p is supplied) of a vector."
+msgstr ""
+
+#: C/genius.xml:3130(term)
+msgid "NullSpace"
+msgstr "NullSpace"
+
+#: C/genius.xml:3132(synopsis)
+#, no-wrap
+msgid "NullSpace (T)"
+msgstr "NullSpace (T)"
+
+#: C/genius.xml:3133(para)
+msgid ""
+"Get the nullspace of a matrix. That is the kernel of the linear mapping that "
+"the matrix represents. This is returned as a matrix whose column space is the "
+"nullspace of <varname>T</varname>."
+msgstr ""
+
+#: C/genius.xml:3137(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Nullspace.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3145(term)
+msgid "Nullity"
+msgstr "Nullity"
+
+#: C/genius.xml:3147(synopsis)
+#, no-wrap
+msgid "Nullity (M)"
+msgstr "Nullity (M)"
+
+#: C/genius.xml:3148(para)
+msgid "Aliases: <function>nullity</function>"
+msgstr ""
+
+#: C/genius.xml:3149(para)
+msgid ""
+"Get the nullity of a matrix. That is, return the dimension of the nullspace; "
+"the dimension of the kernel of <varname>M</varname>."
+msgstr ""
+
+#: C/genius.xml:3151(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Nullity.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3159(term)
+msgid "OrthogonalComplement"
+msgstr "OrthogonalComplement"
+
+#: C/genius.xml:3161(synopsis)
+#, no-wrap
+msgid "OrthogonalComplement (M)"
+msgstr "OrthogonalComplement (M)"
+
+#: C/genius.xml:3162(para)
+msgid "Get the orthogonal complement of the columnspace."
+msgstr ""
+
+#: C/genius.xml:3167(term)
+msgid "PivotColumns"
+msgstr "PivotColumns"
+
+#: C/genius.xml:3169(synopsis)
+#, no-wrap
+msgid "PivotColumns (M)"
+msgstr "PivotColumns (M)"
+
+#: C/genius.xml:3170(para)
+msgid ""
+"Return pivot columns of a matrix, that is columns which have a leading 1 in "
+"row reduced form. Also returns the row where they occur."
+msgstr ""
+
+#: C/genius.xml:3175(term)
+msgid "Projection"
+msgstr "Projection"
+
+#: C/genius.xml:3177(synopsis)
+#, no-wrap
+msgid "Projection (v,W,B...)"
+msgstr "Projection (v,W,B...)"
+
+#: C/genius.xml:3178(para)
+msgid ""
+"Projection of vector <varname>v</varname> onto subspace <varname>W</varname> "
+"with respect to inner product given by <varname>B</varname>. If <varname>B</"
+"varname> is not given then the standard hermitian product is used. "
+"<varname>B</varname> can either be a sesquilinear function of two arguments "
+"or it can be a matrix giving a sesquilinear form."
+msgstr ""
+
+#: C/genius.xml:3188(term)
+msgid "QRDecomposition"
+msgstr "QRDecomposition"
+
+#: C/genius.xml:3190(synopsis)
+#, no-wrap
+msgid "QRDecomposition (A, Q)"
+msgstr "QRDecomposition (A, Q)"
+
+#: C/genius.xml:3191(para)
+msgid ""
+"Get the QR decomposition of a square matrix <varname>A</varname>, returns the "
+"upper triangular matrix <varname>R</varname> and sets <varname>Q</varname> to "
+"the orthogonal (unitary) matrix. <varname>Q</varname> should be a reference "
+"or null if you don't want any return. For example: <screen><prompt>genius&gt;"
+"</prompt> <userinput>R = QRDecomposition(A,&amp;Q)</userinput>\n"
+"</screen> You will have the upper triangular matrix stored in a variable "
+"called <varname>R</varname> and the orthogonal (unitary) matrix stored in "
+"<varname>Q</varname>."
+msgstr ""
+
+#: C/genius.xml:3205(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/QRDecomposition.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"QRDecomposition.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3214(term)
+msgid "RayleighQuotient"
+msgstr "RayleighQuotient"
+
+#: C/genius.xml:3216(synopsis)
+#, no-wrap
+msgid "RayleighQuotient (A,x)"
+msgstr "RayleighQuotient (A,x)"
+
+#: C/genius.xml:3217(para)
+msgid ""
+"Return the Rayleigh quotient (also called the Rayleigh-Ritz quotient or "
+"ratio) of a matrix and a vector."
+msgstr ""
+
+#: C/genius.xml:3218(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/RayleighQuotient.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3226(term)
+msgid "RayleighQuotientIteration"
+msgstr "RayleighQuotientIteration"
+
+#: C/genius.xml:3228(synopsis)
+#, no-wrap
+msgid "RayleighQuotientIteration (A,x,epsilon,maxiter,vecref)"
+msgstr "RayleighQuotientIteration (A,x,epsilon,maxiter,vecref)"
+
+#: C/genius.xml:3229(para)
+msgid ""
+"Find eigenvalues of <varname>A</varname> using the Rayleigh quotient "
+"iteration method. <varname>x</varname> is a guess at a eigenvector and could "
+"be random. It should have nonzero imaginary part if it will have any chance "
+"at finding complex eigenvalues. The code will run at most <varname>maxiter</"
+"varname> iterations and return null if we cannot get within an error of "
+"<varname>epsilon</varname>. <varname>vecref</varname> should either be null "
+"or a reference to a variable where the eigenvector should be stored."
+msgstr ""
+
+#: C/genius.xml:3239(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/RayleighQuotient.html";
+"\">Planetmath</ulink> for more information on Rayleigh quotient."
+msgstr ""
+
+#: C/genius.xml:3247(term)
+msgid "Rank"
+msgstr "Rank"
+
+#: C/genius.xml:3249(synopsis)
+#, no-wrap
+msgid "Rank (M)"
+msgstr "Rank (M)"
+
+#: C/genius.xml:3250(para)
+msgid "Aliases: <function>rank</function>"
+msgstr ""
+
+#: C/genius.xml:3251(para)
+msgid "Get the rank of a matrix."
+msgstr ""
+
+#: C/genius.xml:3252(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/SylvestersLaw.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3260(term)
+msgid "RosserMatrix"
+msgstr "RosserMatrix"
+
+#: C/genius.xml:3262(synopsis)
+#, no-wrap
+msgid "RosserMatrix ()"
+msgstr "RosserMatrix ()"
+
+#: C/genius.xml:3263(para)
+msgid "Rosser matrix, a classic symmetric eigenvalue test problem."
+msgstr ""
+
+#: C/genius.xml:3268(term)
+msgid "Rotation2D"
+msgstr "Rotation2D"
+
+#: C/genius.xml:3270(synopsis)
+#, no-wrap
+msgid "Rotation2D (angle)"
+msgstr "Rotation2D (angle)"
+
+#: C/genius.xml:3271(para)
+msgid "Aliases: <function>RotationMatrix</function>"
+msgstr ""
+
+#: C/genius.xml:3272(para)
+msgid ""
+"Return the matrix corresponding to rotation around origin in R<superscript>2</"
+"superscript>."
+msgstr ""
+
+#: C/genius.xml:3277(term)
+msgid "Rotation3DX"
+msgstr "Rotation3DX"
+
+#: C/genius.xml:3279(synopsis)
+#, no-wrap
+msgid "Rotation3DX (angle)"
+msgstr "Rotation3DX (angle)"
+
+#: C/genius.xml:3280(para)
+msgid ""
+"Return the matrix corresponding to rotation around origin in R<superscript>3</"
+"superscript> about the x-axis."
+msgstr ""
+
+#: C/genius.xml:3285(term)
+msgid "Rotation3DY"
+msgstr "Rotation3DY"
+
+#: C/genius.xml:3287(synopsis)
+#, no-wrap
+msgid "Rotation3DY (angle)"
+msgstr "Rotation3DY (angle)"
+
+#: C/genius.xml:3288(para)
+msgid ""
+"Return the matrix corresponding to rotation around origin in R<superscript>3</"
+"superscript> about the y-axis."
+msgstr ""
+
+#: C/genius.xml:3293(term)
+msgid "Rotation3DZ"
+msgstr "Rotation3DZ"
+
+#: C/genius.xml:3295(synopsis)
+#, no-wrap
+msgid "Rotation3DZ (angle)"
+msgstr "Rotation3DZ (angle)"
+
+#: C/genius.xml:3296(para)
+msgid ""
+"Return the matrix corresponding to rotation around origin in R<superscript>3</"
+"superscript> about the z-axis."
+msgstr ""
+
+#: C/genius.xml:3301(term)
+msgid "RowSpace"
+msgstr "RowSpace"
+
+#: C/genius.xml:3303(synopsis)
+#, no-wrap
+msgid "RowSpace (M)"
+msgstr "RowSpace (M)"
+
+#: C/genius.xml:3304(para)
+msgid "Get a basis matrix for the rowspace of a matrix."
+msgstr ""
+
+#: C/genius.xml:3309(term)
+msgid "SesquilinearForm"
+msgstr "SesquilinearForm"
+
+#: C/genius.xml:3311(synopsis)
+#, no-wrap
+msgid "SesquilinearForm (v,A,w)"
+msgstr "SesquilinearForm (v,A,w)"
+
+#: C/genius.xml:3312(para)
+msgid ""
+"Evaluate (v,w) with respect to the sesquilinear form given by the matrix A."
+msgstr ""
+
+#: C/genius.xml:3317(term)
+msgid "SesquilinearFormFunction"
+msgstr "SesquilinearFormFunction"
+
+#: C/genius.xml:3319(synopsis)
+#, no-wrap
+msgid "SesquilinearFormFunction (A)"
+msgstr "SesquilinearFormFunction (A)"
+
+#: C/genius.xml:3320(para)
+msgid ""
+"Return a function that evaluates two vectors with respect to the sesquilinear "
+"form given by A."
+msgstr ""
+
+#: C/genius.xml:3325(term)
+msgid "SmithNormalFormField"
+msgstr "SmithNormalFormField"
+
+#: C/genius.xml:3327(synopsis)
+#, no-wrap
+msgid "SmithNormalFormField (A)"
+msgstr "SmithNormalFormField (A)"
+
+#: C/genius.xml:3328(para)
+msgid "Smith Normal Form for fields (will end up with 1's on the diagonal)."
+msgstr ""
+
+#: C/genius.xml:3333(term)
+msgid "SmithNormalFormInteger"
+msgstr "SmithNormalFormInteger"
+
+#: C/genius.xml:3335(synopsis)
+#, no-wrap
+msgid "SmithNormalFormInteger (M)"
+msgstr "SmithNormalFormInteger (M)"
+
+#: C/genius.xml:3336(para)
+msgid "Smith Normal Form for square integer matrices (not its characteristic)."
+msgstr ""
+
+#: C/genius.xml:3341(term)
+msgid "SolveLinearSystem"
+msgstr "SolveLinearSystem"
+
+#: C/genius.xml:3343(synopsis)
+#, no-wrap
+msgid "SolveLinearSystem (M,V,args...)"
+msgstr "SolveLinearSystem (M,V,args...)"
+
+#: C/genius.xml:3344(para)
+msgid ""
+"Solve linear system Mx=V, return solution V if there is a unique solution, "
+"null otherwise. Extra two reference parameters can optionally be used to get "
+"the reduced M and V."
+msgstr ""
+
+#: C/genius.xml:3349(term)
+msgid "ToeplitzMatrix"
+msgstr "ToeplitzMatrix"
+
+#: C/genius.xml:3351(synopsis)
+#, no-wrap
+msgid "ToeplitzMatrix (c, r...)"
+msgstr "ToeplitzMatrix (c, r...)"
+
+#: C/genius.xml:3352(para)
+msgid ""
+"Return the Toeplitz matrix constructed given the first column c and "
+"(optionally) the first row r. If only the column c is given then it is "
+"conjugated and the nonconjugated version is used for the first row to give a "
+"Hermitian matrix (if the first element is real of course)."
+msgstr ""
+
+#: C/genius.xml:3356(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/ToeplitzMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3364(term)
+msgid "Trace"
+msgstr "Trace"
+
+#: C/genius.xml:3366(synopsis)
+#, no-wrap
+msgid "Trace (M)"
+msgstr "Trace (M)"
+
+#: C/genius.xml:3367(para)
+msgid "Aliases: <function>trace</function>"
+msgstr ""
+
+#: C/genius.xml:3368(para)
+msgid ""
+"Calculate the trace of a matrix. That is the sum of the diagonal elements."
+msgstr ""
+
+#: C/genius.xml:3369(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Trace.html\";>Planetmath</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3377(term)
+msgid "Transpose"
+msgstr "Transpose"
+
+#: C/genius.xml:3379(synopsis)
+#, no-wrap
+msgid "Transpose (M)"
+msgstr "Transpose (M)"
+
+#: C/genius.xml:3380(para)
+msgid ""
+"Transpose of a matrix. This is the same as the <userinput>.'</userinput> "
+"operator."
+msgstr ""
+
+#: C/genius.xml:3382(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Transpose.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3390(term)
+msgid "VandermondeMatrix"
+msgstr "VandermondeMatrix"
+
+#: C/genius.xml:3392(synopsis)
+#, no-wrap
+msgid "VandermondeMatrix (v)"
+msgstr "VandermondeMatrix (v)"
+
+#: C/genius.xml:3393(para)
+msgid "Aliases: <function>vander</function>"
+msgstr ""
+
+#: C/genius.xml:3394(para)
+msgid "Return the Vandermonde matrix."
+msgstr ""
+
+#: C/genius.xml:3399(term)
+msgid "VectorAngle"
+msgstr "VectorAngle"
+
+#: C/genius.xml:3401(synopsis)
+#, no-wrap
+msgid "VectorAngle (v,w,B...)"
+msgstr "VectorAngle (v,w,B...)"
+
+#: C/genius.xml:3402(para)
+msgid ""
+"The angle of two vectors with respect to inner product given by <varname>B</"
+"varname>. If <varname>B</varname> is not given then the standard hermitian "
+"product is used. <varname>B</varname> can either be a sesquilinear function "
+"of two arguments or it can be a matrix giving a sesquilinear form."
+msgstr ""
+
+#: C/genius.xml:3411(term)
+msgid "VectorSpaceDirectSum"
+msgstr "VectorSpaceDirectSum"
+
+#: C/genius.xml:3413(synopsis)
+#, no-wrap
+msgid "VectorSpaceDirectSum (M,N)"
+msgstr "VectorSpaceDirectSum (M,N)"
+
+#: C/genius.xml:3414(para)
+msgid "The direct sum of the vector spaces M and N."
+msgstr ""
+
+#: C/genius.xml:3419(term)
+msgid "VectorSubspaceIntersection"
+msgstr "VectorSubspaceIntersection"
+
+#: C/genius.xml:3421(synopsis)
+#, no-wrap
+msgid "VectorSubspaceIntersection (M,N)"
+msgstr "VectorSubspaceIntersection (M,N)"
+
+#: C/genius.xml:3422(para)
+msgid "Intersection of the subspaces given by M and N."
+msgstr ""
+
+#: C/genius.xml:3427(term)
+msgid "VectorSubspaceSum"
+msgstr "VectorSubspaceSum"
+
+#: C/genius.xml:3429(synopsis)
+#, no-wrap
+msgid "VectorSubspaceSum (M,N)"
+msgstr "VectorSubspaceSum (M,N)"
+
+#: C/genius.xml:3430(para)
+msgid ""
+"The sum of the vector spaces M and N, that is {w | w=m+n, m in M, n in N}."
+msgstr ""
+
+#: C/genius.xml:3435(term)
+msgid "adj"
+msgstr "adj"
+
+#: C/genius.xml:3437(synopsis)
+#, no-wrap
+msgid "adj (m)"
+msgstr "adj (m)"
+
+#: C/genius.xml:3438(para)
+msgid "Aliases: <function>Adjugate</function>"
+msgstr ""
+
+#: C/genius.xml:3439(para)
+msgid "Get the classical adjoint (adjugate) of a matrix."
+msgstr ""
+
+#: C/genius.xml:3444(term)
+msgid "cref"
+msgstr "cref"
+
+#: C/genius.xml:3446(synopsis)
+#, no-wrap
+msgid "cref (M)"
+msgstr "cref (M)"
+
+#: C/genius.xml:3447(para)
+msgid ""
+"Aliases: <function>CREF</function><function>ColumnReducedEchelonForm</"
+"function>"
+msgstr ""
+
+#: C/genius.xml:3448(para)
+msgid "Compute the Column Reduced Echelon Form."
+msgstr ""
+
+#: C/genius.xml:3453(term)
+msgid "det"
+msgstr "det"
+
+#: C/genius.xml:3455(synopsis)
+#, no-wrap
+msgid "det (M)"
+msgstr "det (M)"
+
+#: C/genius.xml:3456(para)
+msgid "Aliases: <function>Determinant</function>"
+msgstr ""
+
+#: C/genius.xml:3457(para)
+msgid "Get the determinant of a matrix."
+msgstr ""
+
+#: C/genius.xml:3458(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Determinant2.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3466(term)
+msgid "ref"
+msgstr "ref"
+
+#: C/genius.xml:3468(synopsis)
+#, no-wrap
+msgid "ref (M)"
+msgstr "ref (M)"
+
+#: C/genius.xml:3469(para)
+msgid "Aliases: <function>REF</function><function>RowEchelonForm</function>"
+msgstr ""
+
+#: C/genius.xml:3470(para)
+msgid ""
+"Get the row echelon form of a matrix. That is, apply gaussian elimination but "
+"not backaddition to <varname>M</varname>. The pivot rows are divided to make "
+"all pivots 1."
+msgstr ""
+
+#: C/genius.xml:3473(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/RowEchelonForm.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3481(term)
+msgid "rref"
+msgstr "rref"
+
+#: C/genius.xml:3483(synopsis)
+#, no-wrap
+msgid "rref (M)"
+msgstr "rref (M)"
+
+#: C/genius.xml:3484(para)
+msgid ""
+"Aliases: <function>RREF</function><function>ReducedRowEchelonForm</function>"
+msgstr ""
+
+#: C/genius.xml:3485(para)
+msgid ""
+"Get the reduced row echelon form of a matrix. That is, apply gaussian "
+"elimination together with backaddition to <varname>M</varname>."
+msgstr ""
+
+#: C/genius.xml:3486(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/ReducedRowEchelonForm.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3497(title)
+msgid "Combinatorics"
+msgstr "Kombinatorik"
+
+#: C/genius.xml:3500(term)
+msgid "Catalan"
+msgstr "Catalan"
+
+#: C/genius.xml:3502(synopsis)
+#, no-wrap
+msgid "Catalan (n)"
+msgstr "Catalan (n)"
+
+#: C/genius.xml:3503(para)
+msgid "Get <varname>n</varname>'th catalan number."
+msgstr ""
+
+#: C/genius.xml:3504(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/CatalanNumbers.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3512(term)
+msgid "Combinations"
+msgstr "Combinations"
+
+#: C/genius.xml:3514(synopsis)
+#, no-wrap
+msgid "Combinations (k,n)"
+msgstr "Combinations (k,n)"
+
+#: C/genius.xml:3515(para)
+msgid ""
+"Get all combinations of k numbers from 1 to n as a vector of vectors. (See "
+"also <link linkend=\"gel-function-NextCombination\">NextCombination</link>)"
+msgstr ""
+
+#: C/genius.xml:3522(term)
+msgid "DoubleFactorial"
+msgstr "DoubleFactorial"
+
+#: C/genius.xml:3524(synopsis)
+#, no-wrap
+msgid "DoubleFactorial (n)"
+msgstr "DoubleFactorial (n)"
+
+#: C/genius.xml:3525(para)
+msgid "Double factorial: <userinput>n(n-2)(n-4)...</userinput>"
+msgstr ""
+
+#: C/genius.xml:3526(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/DoubleFactorial.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3534(term)
+msgid "Factorial"
+msgstr "Factorial"
+
+#: C/genius.xml:3536(synopsis)
+#, no-wrap
+msgid "Factorial (n)"
+msgstr "Factorial (n)"
+
+#: C/genius.xml:3537(para)
+msgid "Factorial: <userinput>n(n-1)(n-2)...</userinput>"
+msgstr ""
+
+#: C/genius.xml:3538(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Factorial.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3546(term)
+msgid "FallingFactorial"
+msgstr "FallingFactorial"
+
+#: C/genius.xml:3548(synopsis)
+#, no-wrap
+msgid "FallingFactorial (n,k)"
+msgstr "FallingFactorial (n,k)"
+
+#: C/genius.xml:3549(para)
+msgid "Falling factorial: <userinput>(n)_k = n(n-1)...(n-(k-1))</userinput>"
+msgstr ""
+
+#: C/genius.xml:3550(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/FallingFactorial.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3558(term)
+msgid "Fibonacci"
+msgstr "Fibonacci"
+
+#: C/genius.xml:3560(synopsis)
+#, no-wrap
+msgid "Fibonacci (x)"
+msgstr "Fibonacci (x)"
+
+#: C/genius.xml:3561(para)
+msgid "Aliases: <function>fib</function>"
+msgstr ""
+
+#: C/genius.xml:3562(para)
+msgid ""
+"Calculate <varname>n</varname>th fibonacci number. That is the number defined "
+"recursively by <userinput>Fibonacci(n) = Fibonacci(n-1) + Fibonacci(n-2)</"
+"userinput> and <userinput>Fibonacci(1) = Fibonacci(2) = 1</userinput>."
+msgstr ""
+
+#: C/genius.xml:3569(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/FibonacciSequence.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"FibonacciNumber.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3578(term)
+msgid "FrobeniusNumber"
+msgstr "FrobeniusNumber"
+
+#: C/genius.xml:3580(synopsis)
+#, no-wrap
+msgid "FrobeniusNumber (v,arg...)"
+msgstr "FrobeniusNumber (v,arg...)"
+
+#: C/genius.xml:3581(para)
+msgid ""
+"Calculate the Frobenius number. That is calculate smallest number that cannot "
+"be given as a nonnegative integer linear combination of a given vector of "
+"nonnegative integers. The vector can be given as separate numbers or a single "
+"vector. All the numbers given should have GCD of 1."
+msgstr ""
+
+#: C/genius.xml:3588(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/FrobeniusNumber.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3596(term)
+msgid "GaloisMatrix"
+msgstr "GaloisMatrix"
+
+#: C/genius.xml:3598(synopsis)
+#, no-wrap
+msgid "GaloisMatrix (combining_rule)"
+msgstr "GaloisMatrix (combining_rule)"
+
+#: C/genius.xml:3599(para)
+msgid ""
+"Galois matrix given a linear combining rule (a_1*x_+...+a_n*x_n=x_(n+1))."
+msgstr ""
+
+#: C/genius.xml:3604(term)
+msgid "GreedyAlgorithm"
+msgstr "GreedyAlgorithm"
+
+#: C/genius.xml:3606(synopsis)
+#, no-wrap
+msgid "FrobeniusNumber (n,v)"
+msgstr "FrobeniusNumber (n,v)"
+
+#: C/genius.xml:3607(para)
+msgid ""
+"Find the vector <varname>c</varname> of nonnegative integers such that taking "
+"the dot product with <varname>v</varname> is equal to n. If not possible "
+"returns null. <varname>v</varname> should be given sorted in increasing order "
+"and should consist of nonnegative integers."
+msgstr ""
+
+#: C/genius.xml:3614(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/GreedyAlgorithm.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3622(term)
+msgid "HarmonicNumber"
+msgstr "HarmonicNumber"
+
+#: C/genius.xml:3624(synopsis)
+#, no-wrap
+msgid "HarmonicNumber (n,r)"
+msgstr "HarmonicNumber (n,r)"
+
+#: C/genius.xml:3625(para)
+msgid "Aliases: <function>HarmonicH</function>"
+msgstr ""
+
+#: C/genius.xml:3626(para)
+msgid ""
+"Harmonic Number, the <varname>n</varname>'th harmonic number of order "
+"<varname>r</varname>."
+msgstr ""
+
+#: C/genius.xml:3631(term)
+msgid "Hofstadter"
+msgstr "Hofstadter"
+
+#: C/genius.xml:3633(synopsis)
+#, no-wrap
+msgid "Hofstadter (n)"
+msgstr "Hofstadter (n)"
+
+#: C/genius.xml:3634(para)
+msgid ""
+"Hofstadter's function q(n) defined by q(1)=1, q(2)=1, q(n)=q(n-q(n-1))+q(n-q"
+"(n-2))."
+msgstr ""
+
+#: C/genius.xml:3639(term)
+msgid "LinearRecursiveSequence"
+msgstr "LinearRecursiveSequence"
+
+#: C/genius.xml:3641(synopsis)
+#, no-wrap
+msgid "LinearRecursiveSequence (seed_values,combining_rule,n)"
+msgstr "LinearRecursiveSequence (seed_values,combining_rule,n)"
+
+#: C/genius.xml:3642(para)
+msgid "Compute linear recursive sequence using galois stepping."
+msgstr ""
+
+#: C/genius.xml:3647(term)
+msgid "Multinomial"
+msgstr "Multinomial"
+
+#: C/genius.xml:3649(synopsis)
+#, no-wrap
+msgid "Multinomial (v,arg...)"
+msgstr "Multinomial (v,arg...)"
+
+#: C/genius.xml:3650(para)
+msgid ""
+"Calculate multinomial coefficients. Takes a vector of <varname>k</varname> "
+"nonnegative integers and computes the multinomial coefficient. This "
+"corresponds to the coefficient in the homogeneous polynomial in <varname>k</"
+"varname> variables with the corresponding powers."
+msgstr ""
+
+#: C/genius.xml:3659(programlisting)
+#, no-wrap
+msgid "(a+b+c)! / (a!b!c!)\n"
+msgstr "(a+b+c)! / (a!b!c!)\n"
+
+#: C/genius.xml:3656(para)
+msgid ""
+"The formula for <userinput>Multinomial(a,b,c)</userinput> can be written as: "
+"<placeholder-1/> In other words, if we would have only two elements, then "
+"<userinput>Multinomial(a,b)</userinput> is the same thing as "
+"<userinput>Binomial(a+b,a)</userinput> or <userinput>Binomial(a+b,b)</"
+"userinput>."
+msgstr ""
+
+#: C/genius.xml:3666(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/MultinomialTheorem.html";
+"\">Planetmath</ulink>, <ulink url=\"http://mathworld.wolfram.com/";
+"MultinomialCoefficient.html\">Mathworld</ulink>, or <ulink url=\"http://en.";
+"wikipedia.org/wiki/Multinomial_theorem\">Wikipedia</ulink> for more "
+"information."
+msgstr ""
+
+#: C/genius.xml:3676(term)
+msgid "NextCombination"
+msgstr "NextCombination"
+
+#: C/genius.xml:3678(synopsis)
+#, no-wrap
+msgid "NextCombination (v,n)"
+msgstr "NextCombination (v,n)"
+
+#: C/genius.xml:3679(para)
+msgid ""
+"Get combination that would come after v in call to combinations, first "
+"combination should be <userinput>[1:k]</userinput>. This function is useful "
+"if you have many combinations to go through and you don't want to waste "
+"memory to store them all."
+msgstr ""
+
+#: C/genius.xml:3684(para)
+msgid ""
+"For example with Combination you would normally write a loop like: "
+"<screen><userinput>for n in Combinations (4,6) do (\n"
+"  SomeFunction (n)\n"
+");</userinput>\n"
+"</screen> But with NextCombination you would write something like: "
+"<screen><userinput>n:=[1:4];\n"
+"do (\n"
+"  SomeFunction (n)\n"
+") while not IsNull(n:=NextCombination(n,6));</userinput>\n"
+"</screen> See also <link linkend=\"gel-function-Combinations\">Combinations</"
+"link>."
+msgstr ""
+
+#: C/genius.xml:3702(term)
+msgid "Pascal"
+msgstr "Pascal"
+
+#: C/genius.xml:3704(synopsis)
+#, no-wrap
+msgid "Pascal (i)"
+msgstr "Pascal (i)"
+
+#: C/genius.xml:3705(para)
+msgid ""
+"Get the Pascal's triangle as a matrix. This will return an <varname>i</"
+"varname>+1 by <varname>i</varname>+1 lower diagonal matrix which is the "
+"Pascal's triangle after <varname>i</varname> iterations."
+msgstr ""
+
+#: C/genius.xml:3709(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/PascalsTriangle.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3717(term)
+msgid "Permutations"
+msgstr "Permutations"
+
+#: C/genius.xml:3719(synopsis)
+#, no-wrap
+msgid "Permutations (k,n)"
+msgstr "Permutations (k,n)"
+
+#: C/genius.xml:3720(para)
+msgid ""
+"Get all permutations of <varname>k</varname> numbers from 1 to <varname>n</"
+"varname> as a vector of vectors."
+msgstr ""
+
+#: C/genius.xml:3721(para) C/genius.xml:3810(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/Permutation.html\";>Mathworld</"
+"ulink> or <ulink url=\"http://en.wikipedia.org/wiki/Permutation\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3730(term)
+msgid "RisingFactorial"
+msgstr "RisingFactorial"
+
+#: C/genius.xml:3732(synopsis)
+#, no-wrap
+msgid "RisingFactorial (n,k)"
+msgstr "RisingFactorial (n,k)"
+
+#: C/genius.xml:3733(para)
+msgid "Aliases: <function>Pochhammer</function>"
+msgstr ""
+
+#: C/genius.xml:3734(para)
+msgid "(Pochhammer) Rising factorial: (n)_k = n(n+1)...(n+(k-1))."
+msgstr ""
+
+#: C/genius.xml:3735(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/RisingFactorial.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3743(term)
+msgid "StirlingNumberFirst"
+msgstr "StirlingNumberFirst"
+
+#: C/genius.xml:3745(synopsis)
+#, no-wrap
+msgid "StirlingNumberFirst (n,m)"
+msgstr "StirlingNumberFirst (n,m)"
+
+#: C/genius.xml:3746(para)
+msgid "Aliases: <function>StirlingS1</function>"
+msgstr ""
+
+#: C/genius.xml:3747(para)
+msgid "Stirling number of the first kind."
+msgstr ""
+
+#: C/genius.xml:3748(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/";
+"StirlingNumbersOfTheFirstKind.html\">Planetmath</ulink> or <ulink url="
+"\"http://mathworld.wolfram.com/StirlingNumberoftheFirstKind.html\";>Mathworld</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3757(term)
+msgid "StirlingNumberSecond"
+msgstr "StirlingNumberSecond"
+
+#: C/genius.xml:3759(synopsis)
+#, no-wrap
+msgid "StirlingNumberSecond (n,m)"
+msgstr "StirlingNumberSecond (n,m)"
+
+#: C/genius.xml:3760(para)
+msgid "Aliases: <function>StirlingS2</function>"
+msgstr ""
+
+#: C/genius.xml:3761(para)
+msgid "Stirling number of the second kind."
+msgstr ""
+
+#: C/genius.xml:3762(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/StirlingNumbersSecondKind.";
+"html\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"StirlingNumberoftheSecondKind.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3771(term)
+msgid "Subfactorial"
+msgstr "Subfactorial"
+
+#: C/genius.xml:3773(synopsis)
+#, no-wrap
+msgid "Subfactorial (n)"
+msgstr "Subfactorial (n)"
+
+#: C/genius.xml:3774(para)
+msgid "Subfactorial: n! times sum_{k=1}^n (-1)^k/k!."
+msgstr ""
+
+#: C/genius.xml:3779(term)
+msgid "Triangular"
+msgstr "Triangular"
+
+#: C/genius.xml:3781(synopsis)
+#, no-wrap
+msgid "Triangular (nth)"
+msgstr "Triangular (nth)"
+
+#: C/genius.xml:3782(para)
+msgid "Calculate the <varname>n</varname>'th triangular number."
+msgstr ""
+
+#: C/genius.xml:3783(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/TriangularNumbers.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3791(term)
+msgid "nCr"
+msgstr "nCr"
+
+#: C/genius.xml:3793(synopsis)
+#, no-wrap
+msgid "nCr (n,r)"
+msgstr "nCr (n,r)"
+
+#: C/genius.xml:3794(para)
+msgid "Aliases: <function>Binomial</function>"
+msgstr ""
+
+#: C/genius.xml:3795(para)
+msgid ""
+"Calculate combinations, that is, the binomial coefficient. <varname>n</"
+"varname> can be any real number."
+msgstr ""
+
+#: C/genius.xml:3797(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Choose.html\";>Planetmath</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3805(term)
+msgid "nPr"
+msgstr "nPr"
+
+#: C/genius.xml:3807(synopsis)
+#, no-wrap
+msgid "nPr (n,r)"
+msgstr "nPr (n,r)"
+
+#: C/genius.xml:3808(para)
+msgid ""
+"Calculate the number of permutations of size <varname>r</varname>of numbers "
+"from 1 to <varname>n</varname>."
+msgstr ""
+
+#: C/genius.xml:3822(title)
+msgid "Calculus"
+msgstr ""
+
+#: C/genius.xml:3825(term)
+msgid "CompositeSimpsonsRule"
+msgstr "CompositeSimpsonsRule"
+
+#: C/genius.xml:3827(synopsis)
+#, no-wrap
+msgid "CompositeSimpsonsRule (f,a,b,n)"
+msgstr "CompositeSimpsonsRule (f,a,b,n)"
+
+#: C/genius.xml:3828(para)
+msgid ""
+"Integration of f by Composite Simpson's Rule on the interval [a,b] with n "
+"subintervals with error of max(f'''')*h^4*(b-a)/180, note that n should be "
+"even."
+msgstr ""
+
+#: C/genius.xml:3829(para) C/genius.xml:3841(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/SimpsonsRule.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3837(term)
+msgid "CompositeSimpsonsRuleTolerance"
+msgstr "CompositeSimpsonsRuleTolerance"
+
+#: C/genius.xml:3839(synopsis)
+#, no-wrap
+msgid "CompositeSimpsonsRuleTolerance (f,a,b,FourthDerivativeBound,Tolerance)"
+msgstr "CompositeSimpsonsRuleTolerance (f,a,b,FourthDerivativeBound,Tolerance)"
+
+#: C/genius.xml:3840(para)
+msgid ""
+"Integration of f by Composite Simpson's Rule on the interval [a,b] with the "
+"number of steps calculated by the fourth derivative bound and the desired "
+"tolerance."
+msgstr ""
+
+#: C/genius.xml:3849(term)
+msgid "Derivative"
+msgstr "Derivative"
+
+#: C/genius.xml:3851(synopsis)
+#, no-wrap
+msgid "Derivative (f,x0)"
+msgstr "Derivative (f,x0)"
+
+#: C/genius.xml:3852(para)
+msgid ""
+"Attempt to calculate derivative by trying first symbolically and then "
+"numerically."
+msgstr ""
+
+#: C/genius.xml:3857(term)
+msgid "InfiniteProduct"
+msgstr "InfiniteProduct"
+
+#: C/genius.xml:3859(synopsis)
+#, no-wrap
+msgid "InfiniteProduct (func,start,inc)"
+msgstr "InfiniteProduct (func,start,inc)"
+
+#: C/genius.xml:3860(para)
+msgid "Try to calculate an infinite product for a single parameter function."
+msgstr ""
+
+#: C/genius.xml:3865(term)
+msgid "InfiniteProduct2"
+msgstr "InfiniteProduct2"
+
+#: C/genius.xml:3867(synopsis)
+#, no-wrap
+msgid "InfiniteProduct2 (func,arg,start,inc)"
+msgstr "InfiniteProduct2 (func,arg,start,inc)"
+
+#: C/genius.xml:3868(para)
+msgid ""
+"Try to calculate an infinite product for a double parameter function with func"
+"(arg,n)."
+msgstr ""
+
+#: C/genius.xml:3873(term)
+msgid "InfiniteSum"
+msgstr "InfiniteSum"
+
+#: C/genius.xml:3875(synopsis)
+#, no-wrap
+msgid "InfiniteSum (func,start,inc)"
+msgstr "InfiniteSum (func,start,inc)"
+
+#: C/genius.xml:3876(para)
+msgid "Try to calculate an infinite sum for a single parameter function."
+msgstr ""
+
+#: C/genius.xml:3881(term)
+msgid "InfiniteSum2"
+msgstr "InfiniteSum2"
+
+#: C/genius.xml:3883(synopsis)
+#, no-wrap
+msgid "InfiniteSum2 (func,arg,start,inc)"
+msgstr "InfiniteSum2 (func,arg,start,inc)"
+
+#: C/genius.xml:3884(para)
+msgid ""
+"Try to calculate an infinite sum for a double parameter function with func"
+"(arg,n)."
+msgstr ""
+
+#: C/genius.xml:3889(term)
+msgid "IsContinuous"
+msgstr "IsContinuous"
+
+#: C/genius.xml:3891(synopsis)
+#, no-wrap
+msgid "IsContinuous (f,x0)"
+msgstr "IsContinuous (f,x0)"
+
+#: C/genius.xml:3892(para)
+msgid ""
+"Try and see if a real-valued function is continuous at x0 by calculating the "
+"limit there."
+msgstr ""
+
+#: C/genius.xml:3897(term)
+msgid "IsDifferentiable"
+msgstr "IsDifferentiable"
+
+#: C/genius.xml:3899(synopsis)
+#, no-wrap
+msgid "IsDifferentiable (f,x0)"
+msgstr "IsDifferentiable (f,x0)"
+
+#: C/genius.xml:3900(para)
+msgid ""
+"Test for differentiability by approximating the left and right limits and "
+"comparing."
+msgstr ""
+
+#: C/genius.xml:3905(term)
+msgid "LeftLimit"
+msgstr "LeftLimit"
+
+#: C/genius.xml:3907(synopsis)
+#, no-wrap
+msgid "LeftLimit (f,x0)"
+msgstr "LeftLimit (f,x0)"
+
+#: C/genius.xml:3908(para)
+msgid "Calculate the left limit of a real-valued function at x0."
+msgstr ""
+
+#: C/genius.xml:3913(term)
+msgid "Limit"
+msgstr "Limit"
+
+#: C/genius.xml:3915(synopsis)
+#, no-wrap
+msgid "Limit (f,x0)"
+msgstr "Limit (f,x0)"
+
+#: C/genius.xml:3916(para)
+msgid ""
+"Calculate the limit of a real-valued function at x0. Tries to calculate both "
+"left and right limits."
+msgstr ""
+
+#: C/genius.xml:3921(term)
+msgid "MidpointRule"
+msgstr "MidpointRule"
+
+#: C/genius.xml:3923(synopsis)
+#, no-wrap
+msgid "MidpointRule (f,a,b,n)"
+msgstr "MidpointRule (f,a,b,n)"
+
+#: C/genius.xml:3924(para)
+msgid "Integration by midpoint rule."
+msgstr ""
+
+#: C/genius.xml:3929(term)
+msgid "NumericalDerivative"
+msgstr "NumericalDerivative"
+
+#: C/genius.xml:3931(synopsis)
+#, no-wrap
+msgid "NumericalDerivative (f,x0)"
+msgstr "NumericalDerivative (f,x0)"
+
+#: C/genius.xml:3932(para)
+msgid "Aliases: <function>NDerivative</function>"
+msgstr ""
+
+#: C/genius.xml:3933(para)
+msgid "Attempt to calculate numerical derivative."
+msgstr ""
+
+#: C/genius.xml:3938(term)
+msgid "NumericalIntegral"
+msgstr "NumericalIntegral"
+
+#: C/genius.xml:3940(synopsis)
+#, no-wrap
+msgid "NumericalIntegral (f,a,b)"
+msgstr "NumericalIntegral (f,a,b)"
+
+#: C/genius.xml:3941(para)
+msgid ""
+"Integration by rule set in NumericalIntegralFunction of f from a to b using "
+"NumericalIntegralSteps steps."
+msgstr ""
+
+#: C/genius.xml:3946(term)
+msgid "NumericalLeftDerivative"
+msgstr "NumericalLeftDerivative"
+
+#: C/genius.xml:3948(synopsis)
+#, no-wrap
+msgid "NumericalLeftDerivative (f,x0)"
+msgstr "NumericalLeftDerivative (f,x0)"
+
+#: C/genius.xml:3949(para)
+msgid "Attempt to calculate numerical left derivative."
+msgstr ""
+
+#: C/genius.xml:3954(term)
+msgid "NumericalLimitAtInfinity"
+msgstr "NumericalLimitAtInfinity"
+
+#: C/genius.xml:3956(synopsis)
+#, no-wrap
+msgid "NumericalLimitAtInfinity (_f,step_fun,tolerance,successive_for_success,N)"
+msgstr "NumericalLimitAtInfinity (_f,step_fun,tolerance,successive_for_success,N)"
+
+#: C/genius.xml:3957(para)
+msgid "Attempt to calculate the limit of f(step_fun(i)) as i goes from 1 to N."
+msgstr ""
+
+#: C/genius.xml:3962(term)
+msgid "NumericalRightDerivative"
+msgstr "NumericalRightDerivative"
+
+#: C/genius.xml:3964(synopsis)
+#, no-wrap
+msgid "NumericalRightDerivative (f,x0)"
+msgstr "NumericalRightDerivative (f,x0)"
+
+#: C/genius.xml:3965(para)
+msgid "Attempt to calculate numerical right derivative."
+msgstr ""
+
+#: C/genius.xml:3970(term)
+msgid "OneSidedFivePointFormula"
+msgstr "OneSidedFivePointFormula"
+
+#: C/genius.xml:3972(synopsis)
+#, no-wrap
+msgid "OneSidedFivePointFormula (f,x0,h)"
+msgstr "OneSidedFivePointFormula (f,x0,h)"
+
+#: C/genius.xml:3973(para)
+msgid "Compute one-sided derivative using five point formula."
+msgstr ""
+
+#: C/genius.xml:3978(term)
+msgid "OneSidedThreePointFormula"
+msgstr "OneSidedThreePointFormula"
+
+#: C/genius.xml:3980(synopsis)
+#, no-wrap
+msgid "OneSidedThreePointFormula (f,x0,h)"
+msgstr "OneSidedThreePointFormula (f,x0,h)"
+
+#: C/genius.xml:3981(para)
+msgid "Compute one-sided derivative using three-point formula."
+msgstr ""
+
+#: C/genius.xml:3986(term)
+msgid "RightLimit"
+msgstr "RightLimit"
+
+#: C/genius.xml:3988(synopsis)
+#, no-wrap
+msgid "RightLimit (f,x0)"
+msgstr "RightLimit (f,x0)"
+
+#: C/genius.xml:3989(para)
+msgid "Calculate the right limit of a real-valued function at x0."
+msgstr ""
+
+#: C/genius.xml:3994(term)
+msgid "TwoSidedFivePointFormula"
+msgstr "TwoSidedFivePointFormula"
+
+#: C/genius.xml:3996(synopsis)
+#, no-wrap
+msgid "TwoSidedFivePointFormula (f,x0,h)"
+msgstr "TwoSidedFivePointFormula (f,x0,h)"
+
+#: C/genius.xml:3997(para)
+msgid "Compute two-sided derivative using five-point formula."
+msgstr ""
+
+#: C/genius.xml:4002(term)
+msgid "TwoSidedThreePointFormula"
+msgstr "TwoSidedThreePointFormula"
+
+#: C/genius.xml:4004(synopsis)
+#, no-wrap
+msgid "TwoSidedThreePointFormula (f,x0,h)"
+msgstr "TwoSidedThreePointFormula (f,x0,h)"
+
+#: C/genius.xml:4005(para)
+msgid "Compute two-sided derivative using three-point formula."
+msgstr ""
+
+#: C/genius.xml:4013(title)
+msgid "Functions"
+msgstr "Funktionen"
+
+#: C/genius.xml:4016(term)
+msgid "Argument"
+msgstr "Argument"
+
+#: C/genius.xml:4018(synopsis)
+#, no-wrap
+msgid "Argument (z)"
+msgstr "Argument (z)"
+
+#: C/genius.xml:4019(para)
+msgid "Aliases: <function>Arg</function><function>arg</function>"
+msgstr ""
+
+#: C/genius.xml:4020(para)
+msgid "argument (angle) of complex number."
+msgstr ""
+
+#: C/genius.xml:4025(term)
+msgid "DirichletKernel"
+msgstr "DirichletKernel"
+
+#: C/genius.xml:4027(synopsis)
+#, no-wrap
+msgid "DirichletKernel (n,t)"
+msgstr "DirichletKernel (n,t)"
+
+#: C/genius.xml:4028(para)
+msgid "Dirichlet kernel of order n."
+msgstr ""
+
+#: C/genius.xml:4033(term)
+msgid "DiscreteDelta"
+msgstr "DiscreteDelta"
+
+#: C/genius.xml:4035(synopsis)
+#, no-wrap
+msgid "DiscreteDelta (v)"
+msgstr "DiscreteDelta (v)"
+
+#: C/genius.xml:4036(para)
+msgid "Returns 1 iff all elements are zero."
+msgstr ""
+
+#: C/genius.xml:4041(term)
+msgid "ErrorFunction"
+msgstr "ErrorFunction"
+
+#: C/genius.xml:4043(synopsis)
+#, no-wrap
+msgid "ErrorFunction (x)"
+msgstr "ErrorFunction (x)"
+
+#: C/genius.xml:4044(para)
+msgid "Aliases: <function>erf</function>"
+msgstr ""
+
+#: C/genius.xml:4045(para)
+msgid "The error function, 2/sqrt(pi) * int_0^x e^(-t^2) dt."
+msgstr ""
+
+#: C/genius.xml:4046(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/ErrorFunction.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4054(term)
+msgid "FejerKernel"
+msgstr "FejerKernel"
+
+#: C/genius.xml:4056(synopsis)
+#, no-wrap
+msgid "FejerKernel (n,t)"
+msgstr "FejerKernel (n,t)"
+
+#: C/genius.xml:4057(para)
+msgid ""
+"Fejer kernel of order <varname>n</varname> evaluated at <varname>t</varname>"
+msgstr ""
+
+#: C/genius.xml:4059(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/FejerKernel.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4067(term)
+msgid "GammaFunction"
+msgstr "GammaFunction"
+
+#: C/genius.xml:4069(synopsis)
+#, no-wrap
+msgid "GammaFunction (x)"
+msgstr "GammaFunction (x)"
+
+#: C/genius.xml:4070(para)
+msgid "Aliases: <function>Gamma</function>"
+msgstr ""
+
+#: C/genius.xml:4071(para)
+msgid "The Gamma function. Currently only implemented for real values."
+msgstr ""
+
+#: C/genius.xml:4072(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/GammaFunction.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4080(term)
+msgid "KroneckerDelta"
+msgstr "KroneckerDelta"
+
+#: C/genius.xml:4082(synopsis)
+#, no-wrap
+msgid "KroneckerDelta (v)"
+msgstr "KroneckerDelta (v)"
+
+#: C/genius.xml:4083(para)
+msgid "Returns 1 iff all elements are equal."
+msgstr ""
+
+#: C/genius.xml:4088(term)
+msgid "MinimizeFunction"
+msgstr "MinimizeFunction"
+
+#: C/genius.xml:4090(synopsis)
+#, no-wrap
+msgid "MinimizeFunction (func,x,incr)"
+msgstr "MinimizeFunction (func,x,incr)"
+
+#: C/genius.xml:4091(para)
+msgid "Find the first value where f(x)=0."
+msgstr ""
+
+#: C/genius.xml:4096(term)
+msgid "MoebiusDiskMapping"
+msgstr "MoebiusDiskMapping"
+
+#: C/genius.xml:4098(synopsis)
+#, no-wrap
+msgid "MoebiusDiskMapping (a,z)"
+msgstr "MoebiusDiskMapping (a,z)"
+
+#: C/genius.xml:4099(para)
+msgid "Moebius mapping of the disk to itself mapping a to 0."
+msgstr ""
+
+#: C/genius.xml:4100(para) C/genius.xml:4112(para) C/genius.xml:4124(para)
+#: C/genius.xml:4136(para) C/genius.xml:4148(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/MobiusTransformation.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4108(term)
+msgid "MoebiusMapping"
+msgstr "MoebiusMapping"
+
+#: C/genius.xml:4110(synopsis)
+#, no-wrap
+msgid "MoebiusMapping (z,z2,z3,z4)"
+msgstr "MoebiusMapping (z,z2,z3,z4)"
+
+#: C/genius.xml:4111(para)
+msgid ""
+"Moebius mapping using the cross ratio taking z2,z3,z4 to 1,0, and infinity "
+"respectively."
+msgstr ""
+
+#: C/genius.xml:4120(term)
+msgid "MoebiusMappingInftyToInfty"
+msgstr "MoebiusMappingInftyToInfty"
+
+#: C/genius.xml:4122(synopsis)
+#, no-wrap
+msgid "MoebiusMappingInftyToInfty (z,z2,z3)"
+msgstr "MoebiusMappingInftyToInfty (z,z2,z3)"
+
+#: C/genius.xml:4123(para)
+msgid ""
+"Moebius mapping using the cross ratio taking infinity to infinity and z2,z3 "
+"to 1 and 0 respectively."
+msgstr ""
+
+#: C/genius.xml:4132(term)
+msgid "MoebiusMappingInftyToOne"
+msgstr "MoebiusMappingInftyToOne"
+
+#: C/genius.xml:4134(synopsis)
+#, no-wrap
+msgid "MoebiusMappingInftyToOne (z,z3,z4)"
+msgstr "MoebiusMappingInftyToOne (z,z3,z4)"
+
+#: C/genius.xml:4135(para)
+msgid ""
+"Moebius mapping using the cross ratio taking infinity to 1 and z3,z4 to 0 and "
+"infinity respectively."
+msgstr ""
+
+#: C/genius.xml:4144(term)
+msgid "MoebiusMappingInftyToZero"
+msgstr "MoebiusMappingInftyToZero"
+
+#: C/genius.xml:4146(synopsis)
+#, no-wrap
+msgid "MoebiusMappingInftyToZero (z,z2,z4)"
+msgstr "MoebiusMappingInftyToZero (z,z2,z4)"
+
+#: C/genius.xml:4147(para)
+msgid ""
+"Moebius mapping using the cross ratio taking infinity to 0 and z2,z4 to 1 and "
+"infinity respectively."
+msgstr ""
+
+#: C/genius.xml:4156(term)
+msgid "PoissonKernel"
+msgstr "PoissonKernel"
+
+#: C/genius.xml:4158(synopsis)
+#, no-wrap
+msgid "PoissonKernel (r,sigma)"
+msgstr "PoissonKernel (r,sigma)"
+
+#: C/genius.xml:4159(para)
+msgid ""
+"Poisson kernel on D(0,1) (not normalized to 1, that is integral of this is "
+"2pi)."
+msgstr ""
+
+#: C/genius.xml:4164(term)
+msgid "PoissonKernelRadius"
+msgstr "PoissonKernelRadius"
+
+#: C/genius.xml:4166(synopsis)
+#, no-wrap
+msgid "PoissonKernelRadius (r,sigma)"
+msgstr "PoissonKernelRadius (r,sigma)"
+
+#: C/genius.xml:4167(para)
+msgid "Poisson kernel on D(0,R) (not normalized to 1)."
+msgstr ""
+
+#: C/genius.xml:4172(term)
+msgid "RiemannZeta"
+msgstr "RiemannZeta"
+
+#: C/genius.xml:4174(synopsis)
+#, no-wrap
+msgid "RiemannZeta (x)"
+msgstr "RiemannZeta (x)"
+
+#: C/genius.xml:4175(para)
+msgid "Aliases: <function>zeta</function>"
+msgstr ""
+
+#: C/genius.xml:4176(para)
+msgid "The Riemann zeta function. Currently only implemented for real values."
+msgstr ""
+
+#: C/genius.xml:4177(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/RiemannZetaFunction.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4185(term)
+msgid "UnitStep"
+msgstr "UnitStep"
+
+#: C/genius.xml:4187(synopsis)
+#, no-wrap
+msgid "UnitStep (x)"
+msgstr "UnitStep (x)"
+
+#: C/genius.xml:4188(para)
+msgid ""
+"The unit step function is 0 for x&lt;0, 1 otherwise. This is the integral of "
+"the Dirac Delta function."
+msgstr ""
+
+#: C/genius.xml:4193(term)
+msgid "cis"
+msgstr "cis"
+
+#: C/genius.xml:4195(synopsis)
+#, no-wrap
+msgid "cis (x)"
+msgstr "cis (x)"
+
+#: C/genius.xml:4196(para)
+msgid ""
+"The <function>cis</function> function, that is the same as <userinput>cos(x)"
+"+1i*sin(x)</userinput>"
+msgstr ""
+
+#: C/genius.xml:4204(term)
+msgid "deg2rad"
+msgstr "deg2rad"
+
+#: C/genius.xml:4206(synopsis)
+#, no-wrap
+msgid "deg2rad (x)"
+msgstr "deg2rad (x)"
+
+#: C/genius.xml:4207(para)
+msgid "Convert degrees to radians."
+msgstr "Wandelt Grad in Radiant um."
+
+#: C/genius.xml:4212(term)
+msgid "rad2deg"
+msgstr "rad2deg"
+
+#: C/genius.xml:4214(synopsis)
+#, no-wrap
+msgid "rad2deg (x)"
+msgstr "rad2deg (x)"
+
+#: C/genius.xml:4215(para)
+msgid "Convert radians to degrees."
+msgstr "Wandelt Grad in Radiant um."
+
+#: C/genius.xml:4223(title)
+msgid "Equation Solving"
+msgstr ""
+
+#: C/genius.xml:4227(term)
+msgid "CubicFormula"
+msgstr "CubicFormula"
+
+#: C/genius.xml:4229(synopsis)
+#, no-wrap
+msgid "CubicFormula (p)"
+msgstr "CubicFormula (p)"
+
+#: C/genius.xml:4230(para)
+msgid ""
+"Compute roots of a cubic (degree 3) polynomial using the cubic formula. The "
+"polynomial should be given as a vector of coefficients. That is "
+"<userinput>4*x^3 + 2*x + 1</userinput> corresponds to the vector <userinput>"
+"[1,2,0,4]</userinput>. Returns a column vector of the three solutions. The "
+"first solution is always the real one as a cubic always has one real solution."
+msgstr ""
+
+#: C/genius.xml:4239(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/CubicFormula.html";
+"\">Planetmath</ulink>, <ulink url=\"http://mathworld.wolfram.com/CubicFormula.";
+"html\">Mathworld</ulink>, or <ulink url=\"http://en.wikipedia.org/wiki/";
+"Cubic_equation\">Wikipedia</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4249(term)
+msgid "EulersMethod"
+msgstr "EulersMethod"
+
+#: C/genius.xml:4251(synopsis)
+#, no-wrap
+msgid "EulersMethod (f,x0,y0,x1,n)"
+msgstr "EulersMethod (f,x0,y0,x1,n)"
+
+#: C/genius.xml:4252(para)
+msgid ""
+"Use classical Euler's method to numerically solve y'=f(x,y) for initial "
+"<varname>x0</varname>, <varname>y0</varname> going to <varname>x1</varname> "
+"with <varname>n</varname> increments, returns <varname>y</varname> at "
+"<varname>x1</varname>."
+msgstr ""
+
+#: C/genius.xml:4258(para) C/genius.xml:4379(para)
+msgid ""
+"Systems can be solved by just having <varname>y</varname> be a (column) "
+"vector everywhere. That is, <varname>y0</varname> can be a vector in which "
+"case <varname>f</varname> should take a number <varname>x</varname> and a "
+"vector of the same size for the second argument and should return a vector of "
+"the same size."
+msgstr ""
+
+#: C/genius.xml:4265(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/EulerForwardMethod.html";
+"\">Mathworld</ulink>, or <ulink url=\"http://en.wikipedia.org/wiki/";
+"Eulers_method\">Wikipedia</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4274(term)
+msgid "FindRootBisection"
+msgstr "FindRootBisection"
+
+#: C/genius.xml:4276(synopsis)
+#, no-wrap
+msgid "FindRootBisection (f,a,b,TOL,N)"
+msgstr "FindRootBisection (f,a,b,TOL,N)"
+
+#: C/genius.xml:4277(para)
+msgid "Find root of a function using the bisection method."
+msgstr ""
+
+#: C/genius.xml:4282(term)
+msgid "FindRootFalsePosition"
+msgstr "FindRootFalsePosition"
+
+#: C/genius.xml:4284(synopsis)
+#, no-wrap
+msgid "FindRootFalsePosition (f,a,b,TOL,N)"
+msgstr "FindRootFalsePosition (f,a,b,TOL,N)"
+
+#: C/genius.xml:4285(para)
+msgid "Find root of a function using the method of false position."
+msgstr ""
+
+#: C/genius.xml:4290(term)
+msgid "FindRootMullersMethod"
+msgstr "FindRootMullersMethod"
+
+#: C/genius.xml:4292(synopsis)
+#, no-wrap
+msgid "FindRootMullersMethod (f,x1,x2,x3,TOL,N)"
+msgstr "FindRootMullersMethod (f,x1,x2,x3,TOL,N)"
+
+#: C/genius.xml:4293(para)
+msgid "Find root of a function using the Muller's method."
+msgstr ""
+
+#: C/genius.xml:4298(term)
+msgid "FindRootSecant"
+msgstr "FindRootSecant"
+
+#: C/genius.xml:4300(synopsis)
+#, no-wrap
+msgid "FindRootSecant (f,a,b,TOL,N)"
+msgstr "FindRootSecant (f,a,b,TOL,N)"
+
+#: C/genius.xml:4301(para)
+msgid "Find root of a function using the secant method."
+msgstr ""
+
+#: C/genius.xml:4306(term)
+msgid "PolynomialRoots"
+msgstr "PolynomialRoots"
+
+#: C/genius.xml:4308(synopsis)
+#, no-wrap
+msgid "PolynomialRoots (p)"
+msgstr "PolynomialRoots (p)"
+
+#: C/genius.xml:4309(para)
+msgid ""
+"Compute roots of a polynomial (degrees 1 through 4) using one of the formulas "
+"for such polynomials. The polynomial should be given as a vector of "
+"coefficients. That is <userinput>4*x^3 + 2*x + 1</userinput> corresponds to "
+"the vector <userinput>[1,2,0,4]</userinput>. Returns a column vector of the "
+"solutions."
+msgstr ""
+
+#: C/genius.xml:4318(para)
+msgid ""
+"The function calls <link linkend=\"gel-function-QuadraticFormula"
+"\">QuadraticFormula</link>, <link linkend=\"gel-function-CubicFormula"
+"\">CubicFormula</link>, and <link linkend=\"gel-function-QuarticFormula"
+"\">QuarticFormula</link>."
+msgstr ""
+
+#: C/genius.xml:4328(term)
+msgid "QuadraticFormula"
+msgstr "QuadraticFormula"
+
+#: C/genius.xml:4330(synopsis)
+#, no-wrap
+msgid "QuadraticFormula (p)"
+msgstr "QuadraticFormula (p)"
+
+#: C/genius.xml:4331(para)
+msgid ""
+"Compute roots of a quadratic (degree 2) polynomial using the quadratic "
+"formula. The polynomial should be given as a vector of coefficients. That is "
+"<userinput>3*x^2 + 2*x + 1</userinput> corresponds to the vector <userinput>"
+"[1,2,3]</userinput>. Returns a column vector of the two solutions."
+msgstr ""
+
+#: C/genius.xml:4339(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/QuadraticFormula.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"QuadraticFormula.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4348(term)
+msgid "QuarticFormula"
+msgstr "QuarticFormula"
+
+#: C/genius.xml:4350(synopsis)
+#, no-wrap
+msgid "QuarticFormula (p)"
+msgstr "QuarticFormula (p)"
+
+#: C/genius.xml:4351(para)
+msgid ""
+"Compute roots of a quartic (degree 4) polynomial using the quartic formula. "
+"The polynomial should be given as a vector of coefficients. That is "
+"<userinput>5*x^4 + 2*x + 1</userinput> corresponds to the vector <userinput>"
+"[1,2,0,0,5]</userinput>. Returns a column vector of the four solutions."
+msgstr ""
+
+#: C/genius.xml:4359(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/QuarticFormula.html";
+"\">Planetmath</ulink>, <ulink url=\"http://mathworld.wolfram.com/";
+"QuarticEquation.html\">Mathworld</ulink>, or <ulink url=\"http://en.wikipedia.";
+"org/wiki/Quartic_equation\">Wikipedia</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4369(term)
+msgid "RungeKutta"
+msgstr "RungeKutta"
+
+#: C/genius.xml:4371(synopsis)
+#, no-wrap
+msgid "RungeKutta (f,x0,y0,x1,n)"
+msgstr "RungeKutta (f,x0,y0,x1,n)"
+
+#: C/genius.xml:4372(para)
+msgid ""
+"Use classical non-adaptive fourth order Runge-Kutta method to numerically "
+"solve y'=f(x,y) for initial <varname>x0</varname>, <varname>y0</varname> "
+"going to <varname>x1</varname> with <varname>n</varname> increments, returns "
+"<varname>y</varname> at <varname>x1</varname>."
+msgstr ""
+
+#: C/genius.xml:4386(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/Runge-KuttaMethod.html";
+"\">Mathworld</ulink>, or <ulink url=\"http://en.wikipedia.org/wiki/Runge-";
+"Kutta_methods\">Wikipedia</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4399(title)
+msgid "Statistics"
+msgstr "Statistik"
+
+#: C/genius.xml:4402(term)
+msgid "Average"
+msgstr "Average"
+
+#: C/genius.xml:4404(synopsis)
+#, no-wrap
+msgid "Average (m)"
+msgstr "Average (m)"
+
+#: C/genius.xml:4405(para)
+msgid ""
+"Aliases: <function>average</function><function>Mean</function><function>mean</"
+"function>"
+msgstr ""
+
+#: C/genius.xml:4406(para)
+msgid "Calculate average of an entire matrix."
+msgstr ""
+
+#: C/genius.xml:4407(para) C/genius.xml:4467(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/ArithmeticMean.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4415(term)
+msgid "GaussDistribution"
+msgstr "GaussDistribution"
+
+#: C/genius.xml:4417(synopsis)
+#, no-wrap
+msgid "GaussDistribution (x,sigma)"
+msgstr "GaussDistribution (x,sigma)"
+
+#: C/genius.xml:4418(para)
+msgid "Integral of the GaussFunction from 0 to x (area under the normal curve)."
+msgstr ""
+
+#: C/genius.xml:4419(para) C/genius.xml:4431(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/NormalDistribution.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4427(term)
+msgid "GaussFunction"
+msgstr "GaussFunction"
+
+#: C/genius.xml:4429(synopsis)
+#, no-wrap
+msgid "GaussFunction (x,sigma)"
+msgstr "GaussFunction (x,sigma)"
+
+#: C/genius.xml:4430(para)
+msgid "The normalized Gauss distribution function (the normal curve)."
+msgstr ""
+
+#: C/genius.xml:4440(term)
+msgid "Median"
+msgstr "Median"
+
+#: C/genius.xml:4442(synopsis)
+#, no-wrap
+msgid "Median (m)"
+msgstr "Median (m)"
+
+#: C/genius.xml:4443(para)
+msgid "Aliases: <function>median</function>"
+msgstr ""
+
+#: C/genius.xml:4444(para)
+msgid "Calculate median of an entire matrix."
+msgstr ""
+
+#: C/genius.xml:4445(para) C/genius.xml:4480(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/StatisticalMedian.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4453(term)
+msgid "PopulationStandardDeviation"
+msgstr "PopulationStandardDeviation"
+
+#: C/genius.xml:4455(synopsis)
+#, no-wrap
+msgid "PopulationStandardDeviation (m)"
+msgstr "PopulationStandardDeviation (m)"
+
+#: C/genius.xml:4456(para)
+msgid "Aliases: <function>stdevp</function>"
+msgstr ""
+
+#: C/genius.xml:4457(para)
+msgid "Calculate the population standard deviation of a whole matrix."
+msgstr ""
+
+#: C/genius.xml:4462(term)
+msgid "RowAverage"
+msgstr "RowAverage"
+
+#: C/genius.xml:4464(synopsis)
+#, no-wrap
+msgid "RowAverage (m)"
+msgstr "RowAverage (m)"
+
+#: C/genius.xml:4465(para)
+msgid "Aliases: <function>RowMean</function>"
+msgstr ""
+
+#: C/genius.xml:4466(para)
+msgid "Calculate average of each row in a matrix."
+msgstr ""
+
+#: C/genius.xml:4475(term)
+msgid "RowMedian"
+msgstr "RowMedian"
+
+#: C/genius.xml:4477(synopsis)
+#, no-wrap
+msgid "RowMedian (m)"
+msgstr "RowMedian (m)"
+
+#: C/genius.xml:4478(para)
+msgid ""
+"Calculate median of each row in a matrix and return a column vector of the "
+"medians."
+msgstr ""
+
+#: C/genius.xml:4488(term)
+msgid "RowPopulationStandardDeviation"
+msgstr "RowPopulationStandardDeviation"
+
+#: C/genius.xml:4490(synopsis)
+#, no-wrap
+msgid "RowPopulationStandardDeviation (m)"
+msgstr "RowPopulationStandardDeviation (m)"
+
+#: C/genius.xml:4491(para)
+msgid "Aliases: <function>rowstdevp</function>"
+msgstr ""
+
+#: C/genius.xml:4492(para)
+msgid ""
+"Calculate the population standard deviations of rows of a matrix and return a "
+"vertical vector."
+msgstr ""
+
+#: C/genius.xml:4497(term)
+msgid "RowStandardDeviation"
+msgstr "RowStandardDeviation"
+
+#: C/genius.xml:4499(synopsis)
+#, no-wrap
+msgid "RowStandardDeviation (m)"
+msgstr "RowStandardDeviation (m)"
+
+#: C/genius.xml:4500(para)
+msgid "Aliases: <function>rowstdev</function>"
+msgstr ""
+
+#: C/genius.xml:4501(para)
+msgid ""
+"Calculate the standard deviations of rows of a matrix and return a vertical "
+"vector."
+msgstr ""
+
+#: C/genius.xml:4506(term)
+msgid "StandardDeviation"
+msgstr "StandardDeviation"
+
+#: C/genius.xml:4508(synopsis)
+#, no-wrap
+msgid "StandardDeviation (m)"
+msgstr "StandardDeviation (m)"
+
+#: C/genius.xml:4509(para)
+msgid "Aliases: <function>stdev</function>"
+msgstr ""
+
+#: C/genius.xml:4510(para)
+msgid "Calculate the standard deviation of a whole matrix."
+msgstr ""
+
+#: C/genius.xml:4518(title)
+msgid "Polynomials"
+msgstr ""
+
+#: C/genius.xml:4521(term)
+msgid "AddPoly"
+msgstr "AddPoly"
+
+#: C/genius.xml:4523(synopsis)
+#, no-wrap
+msgid "AddPoly (p1,p2)"
+msgstr "AddPoly (p1,p2)"
+
+#: C/genius.xml:4524(para)
+msgid "Add two polynomials (vectors)."
+msgstr ""
+
+#: C/genius.xml:4529(term)
+msgid "DividePoly"
+msgstr "DividePoly"
+
+#: C/genius.xml:4531(synopsis)
+#, no-wrap
+msgid "DividePoly (p,q,&amp;r)"
+msgstr "DividePoly (p,q,&amp;r)"
+
+#: C/genius.xml:4532(para)
+msgid ""
+"Divide two polynomials (as vectors) using long division. Returns the quotient "
+"of the two polynomials. The optional argument <varname>r</varname> is used to "
+"return the remainder. The remainder will have lower degree than <varname>q</"
+"varname>."
+msgstr ""
+
+#: C/genius.xml:4537(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/PolynomialLongDivision.";
+"html\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4545(term)
+msgid "IsPoly"
+msgstr "IsPoly"
+
+#: C/genius.xml:4547(synopsis)
+#, no-wrap
+msgid "IsPoly (p)"
+msgstr "IsPoly (p)"
+
+#: C/genius.xml:4548(para)
+msgid "Check if a vector is usable as a polynomial."
+msgstr ""
+
+#: C/genius.xml:4553(term)
+msgid "MultiplyPoly"
+msgstr "MultiplyPoly"
+
+#: C/genius.xml:4555(synopsis)
+#, no-wrap
+msgid "MultiplyPoly (p1,p2)"
+msgstr "MultiplyPoly (p1,p2)"
+
+#: C/genius.xml:4556(para)
+msgid "Multiply two polynomials (as vectors)."
+msgstr ""
+
+#: C/genius.xml:4561(term)
+msgid "NewtonsMethodPoly"
+msgstr "NewtonsMethodPoly"
+
+#: C/genius.xml:4563(synopsis)
+#, no-wrap
+msgid "NewtonsMethodPoly (poly,guess,epsilon,maxn)"
+msgstr "NewtonsMethodPoly (poly,guess,epsilon,maxn)"
+
+#: C/genius.xml:4564(para)
+msgid ""
+"Run newton's method on a polynomial to attempt to find a root, returns after "
+"two successive values are within epsilon or after maxn tries (then returns "
+"null)."
+msgstr ""
+
+#: C/genius.xml:4569(term)
+msgid "Poly2ndDerivative"
+msgstr "Poly2ndDerivative"
+
+#: C/genius.xml:4571(synopsis)
+#, no-wrap
+msgid "Poly2ndDerivative (p)"
+msgstr "Poly2ndDerivative (p)"
+
+#: C/genius.xml:4572(para)
+msgid "Take second polynomial (as vector) derivative."
+msgstr ""
+
+#: C/genius.xml:4577(term)
+msgid "PolyDerivative"
+msgstr "PolyDerivative"
+
+#: C/genius.xml:4579(synopsis)
+#, no-wrap
+msgid "PolyDerivative (p)"
+msgstr "PolyDerivative (p)"
+
+#: C/genius.xml:4580(para)
+msgid "Take polynomial (as vector) derivative."
+msgstr ""
+
+#: C/genius.xml:4585(term)
+msgid "PolyToFunction"
+msgstr "PolyToFunction"
+
+#: C/genius.xml:4587(synopsis)
+#, no-wrap
+msgid "PolyToFunction (p)"
+msgstr "PolyToFunction (p)"
+
+#: C/genius.xml:4588(para)
+msgid "Make function out of a polynomial (as vector)."
+msgstr ""
+
+#: C/genius.xml:4593(term)
+msgid "PolyToString"
+msgstr "PolyToString"
+
+#: C/genius.xml:4595(synopsis)
+#, no-wrap
+msgid "PolyToString (p,var...)"
+msgstr "PolyToString (p,var...)"
+
+#: C/genius.xml:4596(para)
+msgid "Make string out of a polynomial (as vector)."
+msgstr ""
+
+#: C/genius.xml:4601(term)
+msgid "SubtractPoly"
+msgstr "SubtractPoly"
+
+#: C/genius.xml:4603(synopsis)
+#, no-wrap
+msgid "SubtractPoly (p1,p2)"
+msgstr "SubtractPoly (p1,p2)"
+
+#: C/genius.xml:4604(para)
+msgid "Subtract two polynomials (as vectors)."
+msgstr ""
+
+#: C/genius.xml:4609(term)
+msgid "TrimPoly"
+msgstr "TrimPoly"
+
+#: C/genius.xml:4611(synopsis)
+#, no-wrap
+msgid "TrimPoly (p)"
+msgstr "TrimPoly (p)"
+
+#: C/genius.xml:4612(para)
+msgid "Trim zeros from a polynomial (as vector)."
+msgstr ""
+
+#: C/genius.xml:4620(title)
+msgid "Set Theory"
+msgstr ""
+
+#: C/genius.xml:4623(term)
+msgid "Intersection"
+msgstr "Intersection"
+
+#: C/genius.xml:4625(synopsis)
+#, no-wrap
+msgid "Intersection (X,Y)"
+msgstr "Intersection (X,Y)"
+
+#: C/genius.xml:4626(para)
+msgid ""
+"Returns a set theoretic intersection of X and Y (X and Y are vectors "
+"pretending to be sets)."
+msgstr ""
+
+#: C/genius.xml:4631(term)
+msgid "IsIn"
+msgstr "IsIn"
+
+#: C/genius.xml:4633(synopsis)
+#, no-wrap
+msgid "IsIn (x,X)"
+msgstr "IsIn (x,X)"
+
+#: C/genius.xml:4634(para)
+msgid ""
+"Returns true if the element x is in the set X (where X is a vector pretending "
+"to be a set)."
+msgstr ""
+
+#: C/genius.xml:4639(term)
+msgid "IsSubset"
+msgstr "IsSubset"
+
+#: C/genius.xml:4641(synopsis)
+#, no-wrap
+msgid "IsSubset (X, Y)"
+msgstr "IsSubset (X, Y)"
+
+#: C/genius.xml:4642(para)
+msgid ""
+"Returns true if X is a subset of Y (X and Y are vectors pretending to be "
+"sets)."
+msgstr ""
+
+#: C/genius.xml:4647(term)
+msgid "MakeSet"
+msgstr "MakeSet"
+
+#: C/genius.xml:4649(synopsis)
+#, no-wrap
+msgid "MakeSet (X)"
+msgstr "MakeSet (X)"
+
+#: C/genius.xml:4650(para)
+msgid "Returns a vector where every element of X appears only once."
+msgstr ""
+
+#: C/genius.xml:4655(term)
+msgid "SetMinus"
+msgstr "SetMinus"
+
+#: C/genius.xml:4657(synopsis)
+#, no-wrap
+msgid "SetMinus (X,Y)"
+msgstr "SetMinus (X,Y)"
+
+#: C/genius.xml:4658(para)
+msgid ""
+"Returns a set theoretic difference X-Y (X and Y are vectors pretending to be "
+"sets)."
+msgstr ""
+
+#: C/genius.xml:4663(term)
+msgid "Union"
+msgstr "Union"
+
+#: C/genius.xml:4665(synopsis)
+#, no-wrap
+msgid "Union (X,Y)"
+msgstr "Union (X,Y)"
+
+#: C/genius.xml:4666(para)
+msgid ""
+"Returns a set theoretic union of X and Y (X and Y are vectors pretending to "
+"be sets)."
+msgstr ""
+
+#: C/genius.xml:4674(title)
+msgid "Miscellaneous"
+msgstr "Verschiedenes"
+
+#: C/genius.xml:4677(term)
+msgid "ASCIIToString"
+msgstr "ASCIIToString"
+
+#: C/genius.xml:4679(synopsis)
+#, no-wrap
+msgid "ASCIIToString (vec)"
+msgstr "ASCIIToString (vec)"
+
+#: C/genius.xml:4680(para)
+msgid "Convert a vector of ASCII values to a string."
+msgstr ""
+
+#: C/genius.xml:4685(term)
+msgid "AlphabetToString"
+msgstr "AlphabetToString"
+
+#: C/genius.xml:4687(synopsis)
+#, no-wrap
+msgid "AlphabetToString (vec,alphabet)"
+msgstr "AlphabetToString (vec,alphabet)"
+
+#: C/genius.xml:4688(para)
+msgid ""
+"Convert a vector of 0-based alphabet values (positions in the alphabet "
+"string) to a string."
+msgstr ""
+
+#: C/genius.xml:4693(term)
+msgid "StringToASCII"
+msgstr "StringToASCII"
+
+#: C/genius.xml:4695(synopsis)
+#, no-wrap
+msgid "StringToASCII (str)"
+msgstr "StringToASCII (str)"
+
+#: C/genius.xml:4696(para)
+msgid "Convert a string to a vector of ASCII values."
+msgstr ""
+
+#: C/genius.xml:4701(term)
+msgid "StringToAlphabet"
+msgstr "StringToAlphabet"
+
+#: C/genius.xml:4703(synopsis)
+#, no-wrap
+msgid "StringToAlphabet (str,alphabet)"
+msgstr "StringToAlphabet (str,alphabet)"
+
+#: C/genius.xml:4704(para)
+msgid ""
+"Convert a string to a vector of 0-based alphabet values (positions in the "
+"alphabet string), -1's for unknown letters."
+msgstr ""
+
+#: C/genius.xml:4712(title)
+msgid "Symbolic Operations"
+msgstr ""
+
+#: C/genius.xml:4715(term)
+msgid "SymbolicDerivative"
+msgstr "SymbolicDerivative"
+
+#: C/genius.xml:4717(synopsis)
+#, no-wrap
+msgid "SymbolicDerivative (f)"
+msgstr "SymbolicDerivative (f)"
+
+#: C/genius.xml:4718(para)
+msgid ""
+"Attempt to symbolically differentiate the function f, where f is a function "
+"of one variable."
+msgstr ""
+
+#: C/genius.xml:4719(para)
+msgid ""
+"Examples: <screen><prompt>genius&gt;</prompt> <userinput>SymbolicDerivative"
+"(sin)</userinput>\n"
+"= (`(x)=cos(x))\n"
+"<prompt>genius&gt;</prompt> <userinput>SymbolicDerivative(`(x)=7*x^2)</"
+"userinput>\n"
+"= (`(x)=(7*(2*x)))\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:4731(term)
+msgid "SymbolicDerivativeTry"
+msgstr "SymbolicDerivativeTry"
+
+#: C/genius.xml:4733(synopsis)
+#, no-wrap
+msgid "SymbolicDerivativeTry (f)"
+msgstr "SymbolicDerivativeTry (f)"
+
+#: C/genius.xml:4734(para)
+msgid ""
+"Attempt to symbolically differentiate the function f, where f is a function "
+"of one variable, returns null if unsuccessful but is silent. (See <link "
+"linkend=\"gel-function-SymbolicDerivative\"><function>SymbolicDerivative</"
+"function></link>)"
+msgstr ""
+
+#: C/genius.xml:4741(term)
+msgid "SymbolicNthDerivative"
+msgstr "SymbolicNthDerivative"
+
+#: C/genius.xml:4743(synopsis)
+#, no-wrap
+msgid "SymbolicNthDerivative (f,n)"
+msgstr "SymbolicNthDerivative (f,n)"
+
+#: C/genius.xml:4744(para)
+msgid ""
+"Attempt to symbolically differentiate a function n times. (See <link linkend="
+"\"gel-function-SymbolicDerivative\"><function>SymbolicDerivative</function></"
+"link>)"
+msgstr ""
+
+#: C/genius.xml:4751(term)
+msgid "SymbolicNthDerivativeTry"
+msgstr "SymbolicNthDerivativeTry"
+
+#: C/genius.xml:4753(synopsis)
+#, no-wrap
+msgid "SymbolicNthDerivativeTry (f,n)"
+msgstr "SymbolicNthDerivativeTry (f,n)"
+
+#: C/genius.xml:4754(para)
+msgid ""
+"Attempt to symbolically differentiate a function n times quietly and return "
+"null on failure (See <link linkend=\"gel-function-SymbolicNthDerivative"
+"\"><function>SymbolicNthDerivative</function></link>)"
+msgstr ""
+
+#: C/genius.xml:4761(term)
+msgid "SymbolicTaylorApproximationFunction"
+msgstr "SymbolicTaylorApproximationFunction"
+
+#: C/genius.xml:4763(synopsis)
+#, no-wrap
+msgid "SymbolicTaylorApproximationFunction (f,x0,n)"
+msgstr "SymbolicTaylorApproximationFunction (f,x0,n)"
+
+#: C/genius.xml:4764(para)
+msgid ""
+"Attempt to construct the taylor approximation function around x0 to the nth "
+"degree. (See <link linkend=\"gel-function-SymbolicDerivative"
+"\"><function>SymbolicDerivative</function></link>)"
+msgstr ""
+
+#: C/genius.xml:4776(term)
+msgid "LinePlot"
+msgstr "LinePlot"
+
+#: C/genius.xml:4778(synopsis)
+#, no-wrap
+msgid "LinePlot (func1,func2,func3,...)"
+msgstr "LinePlot (func1,func2,func3,...)"
+
+#: C/genius.xml:4779(synopsis)
+#, no-wrap
+msgid "LinePlot (func1,func2,func3,x1,x2,y1,y2)"
+msgstr "LinePlot (func1,func2,func3,x1,x2,y1,y2)"
+
+#: C/genius.xml:4780(para)
+msgid ""
+"Plot a function (or several functions) with a line. First up to 10 arguments "
+"are functions, then optionally you can specify the limits of the plotting "
+"window as <varname>x1</varname>, <varname>x2</varname>, <varname>y1</"
+"varname>, <varname>y2</varname>. If limits are not specified, then the "
+"currently set limits apply (See <link linkend=\"gel-function-LinePlotWindow"
+"\"><function>LinePlotWindow</function></link>)"
+msgstr ""
+
+#: C/genius.xml:4789(para) C/genius.xml:4870(para) C/genius.xml:4895(para)
+#: C/genius.xml:4948(para) C/genius.xml:5039(para)
+msgid ""
+"The parameter <link linkend=\"gel-function-LinePlotDrawLegends"
+"\"><function>LinePlotDrawLegends</function></link> controls the drawing of "
+"the legend."
+msgstr ""
+
+#: C/genius.xml:4794(para)
+msgid ""
+"Examples: <screen><prompt>genius&gt;</prompt> <userinput>LinePlot(sin,cos)</"
+"userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>LinePlot(`(x)=x^2,-1,1,0,1)</"
+"userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:4804(term)
+msgid "LinePlotClear"
+msgstr "LinePlotClear"
+
+#: C/genius.xml:4806(synopsis)
+#, no-wrap
+msgid "LinePlotClear ()"
+msgstr "LinePlotClear ()"
+
+#: C/genius.xml:4807(para)
+msgid ""
+"Show the line plot window and clear out functions and any other lines that "
+"were drawn."
+msgstr ""
+
+#: C/genius.xml:4815(term)
+msgid "LinePlotDrawLine"
+msgstr "LinePlotDrawLine"
+
+#: C/genius.xml:4817(synopsis)
+#, no-wrap
+msgid "LinePlotDrawLine (x1,y1,x2,y2,...)"
+msgstr "LinePlotDrawLine (x1,y1,x2,y2,...)"
+
+#: C/genius.xml:4818(synopsis)
+#, no-wrap
+msgid "LinePlotDrawLine (v,...)"
+msgstr "LinePlotDrawLine (v,...)"
+
+#: C/genius.xml:4819(para)
+msgid ""
+"Draw a line from <varname>x1</varname>,<varname>y1</varname> to <varname>x2</"
+"varname>,<varname>y2</varname>. <varname>x1</varname>,<varname>y1</varname>, "
+"<varname>x2</varname>,<varname>y2</varname> can be replaced by an <varname>n</"
+"varname> by 2 matrix for a longer line."
+msgstr ""
+
+#: C/genius.xml:4826(para)
+msgid ""
+"Extra parameters can be added to specify line color, thickness, arrows, and "
+"the plotting window. You can do this by adding a string <userinput>\"color\"</"
+"userinput>, <userinput>\"thickness\"</userinput>, <userinput>\"window\"</"
+"userinput>, or <userinput>\"arrow\"</userinput>, and after it either the "
+"color string, the thicknes as an integer, the window as 4-vector, and for "
+"arrow either <userinput>\"origin\"</userinput>, <userinput>\"end\"</"
+"userinput>, <userinput>\"both\"</userinput>, or <userinput>\"none\"</"
+"userinput>. For <userinput>\"window\"</userinput> we can specify <userinput>"
+"\"fit\"</userinput> rather than a vector in which case, the x range will be "
+"set precisely and the y range will be set with five percent borders around "
+"the line."
+msgstr ""
+
+#: C/genius.xml:4844(para)
+msgid ""
+"Examples: <screen><prompt>genius&gt;</prompt> <userinput>LinePlotDrawLine"
+"(0,0,1,1,\"color\",\"blue\",\"thickness\",3)</userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>LinePlotDrawLine([0,0;1,-1;-1,-1])</"
+"userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>LinePlotDrawLine([0,0;1,1],\"arrow\","
+"\"end\")</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:4855(term)
+msgid "LinePlotParametric"
+msgstr "LinePlotParametric"
+
+#: C/genius.xml:4857(synopsis)
+#, no-wrap
+msgid "LinePlotParametric (xfunc,yfunc,...)"
+msgstr "LinePlotParametric (xfunc,yfunc,...)"
+
+#: C/genius.xml:4858(synopsis)
+#, no-wrap
+msgid "LinePlotParametric (xfunc,yfunc,t1,t2,tinc)"
+msgstr "LinePlotParametric (xfunc,yfunc,t1,t2,tinc)"
+
+#: C/genius.xml:4859(synopsis)
+#, no-wrap
+msgid "LinePlotParametric (xfunc,yfunc,t1,t2,tinc,x1,x2,y1,y2)"
+msgstr "LinePlotParametric (xfunc,yfunc,t1,t2,tinc,x1,x2,y1,y2)"
+
+#: C/genius.xml:4860(para)
+msgid ""
+"Plot a parametric function with a line. First come the functions for "
+"<varname>x</varname> and <varname>y</varname> then optionally the <varname>t</"
+"varname> limits as <userinput>t1,t2,tinc</userinput>, then optionally the "
+"limits as <userinput>x1,x2,y1,y2</userinput>."
+msgstr ""
+
+#: C/genius.xml:4865(para) C/genius.xml:4890(para)
+msgid ""
+"If limits are not specified, then the currently set limits apply (See <link "
+"linkend=\"gel-function-LinePlotWindow\"><function>LinePlotWindow</function></"
+"link>)."
+msgstr ""
+
+#: C/genius.xml:4879(term)
+msgid "LinePlotCParametric"
+msgstr "LinePlotCParametric"
+
+#: C/genius.xml:4881(synopsis)
+#, no-wrap
+msgid "LinePlotCParametric (func,...)"
+msgstr "LinePlotCParametric (func,...)"
+
+#: C/genius.xml:4882(synopsis)
+#, no-wrap
+msgid "LinePlotCParametric (func,t1,t2,tinc)"
+msgstr "LinePlotCParametric (func,t1,t2,tinc)"
+
+#: C/genius.xml:4883(synopsis)
+#, no-wrap
+msgid "LinePlotCParametric (func,t1,t2,tinc,x1,x2,y1,y2)"
+msgstr "LinePlotCParametric (func,t1,t2,tinc,x1,x2,y1,y2)"
+
+#: C/genius.xml:4884(para)
+msgid ""
+"Plot a parametric complex valued function with a line. First comes the "
+"function that returns <computeroutput>x+iy</computeroutput>, then optionally "
+"the <varname>t</varname> limits as <userinput>t1,t2,tinc</userinput>, then "
+"optionally the limits as <userinput>x1,x2,y1,y2</userinput>."
+msgstr ""
+
+#: C/genius.xml:4904(term)
+msgid "SlopefieldClearSolutions"
+msgstr "SlopefieldClearSolutions"
+
+#: C/genius.xml:4906(synopsis)
+#, no-wrap
+msgid "SlopefieldClearSolutions ()"
+msgstr "SlopefieldClearSolutions ()"
+
+#: C/genius.xml:4907(para)
+msgid ""
+"Clears the solutions drawn by the <link linkend=\"gel-function-"
+"SlopefieldDrawSolution\"><function>SlopefieldDrawSolution</function></link> "
+"function."
+msgstr ""
+
+#: C/genius.xml:4916(term)
+msgid "SlopefieldDrawSolution"
+msgstr "SlopefieldDrawSolution"
+
+#: C/genius.xml:4918(synopsis)
+#, no-wrap
+msgid "SlopefieldDrawSolution (x, y, dx)"
+msgstr "SlopefieldDrawSolution (x, y, dx)"
+
+#: C/genius.xml:4919(para)
+msgid ""
+"When a slope field plot is active, draw a solution with the specified initial "
+"condition. The standard Runge-Kutta method is used with increment "
+"<varname>dx</varname>. Solutions stay on the graph until a different plot is "
+"shown or until you call <link linkend=\"gel-function-SlopefieldClearSolutions"
+"\"><function>SlopefieldClearSolutions</function></link>. You can also use the "
+"graphical interface to draw solutions and specify initial conditions with the "
+"mouse."
+msgstr ""
+
+#: C/genius.xml:4933(term)
+msgid "SlopefieldPlot"
+msgstr "SlopefieldPlot"
+
+#: C/genius.xml:4935(synopsis)
+#, no-wrap
+msgid "SlopefieldPlot (func)"
+msgstr "SlopefieldPlot (func)"
+
+#: C/genius.xml:4936(synopsis)
+#, no-wrap
+msgid "SlopefieldPlot (func,x1,x2,y1,y2)"
+msgstr "SlopefieldPlot (func,x1,x2,y1,y2)"
+
+#: C/genius.xml:4937(para)
+msgid ""
+"Plot a slope field. The function <varname>func</varname> should take two real "
+"numbers <varname>x</varname> and <varname>y</varname>, or a single complex "
+"number. Optionally you can specify the limits of the plotting window as "
+"<varname>x1</varname>, <varname>x2</varname>, <varname>y1</varname>, "
+"<varname>y2</varname>. If limits are not specified, then the currently set "
+"limits apply (See <link linkend=\"gel-function-LinePlotWindow"
+"\"><function>LinePlotWindow</function></link>)."
+msgstr ""
+
+#: C/genius.xml:4953(para)
+msgid ""
+"Examples: <screen><prompt>genius&gt;</prompt> <userinput>Slopefield(`(x,y)=sin"
+"(x-y),-5,5,-5,5)</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:4962(term)
+msgid "SurfacePlot"
+msgstr "SurfacePlot"
+
+#: C/genius.xml:4964(synopsis)
+#, no-wrap
+msgid "SurfacePlot (func)"
+msgstr "SurfacePlot (func)"
+
+#: C/genius.xml:4965(synopsis)
+#, no-wrap
+msgid "SurfacePlot (func,x1,x2,y1,y2,z1,z2)"
+msgstr "SurfacePlot (func,x1,x2,y1,y2,z1,z2)"
+
+#: C/genius.xml:4966(para)
+msgid ""
+"Plot a surface function which takes either two arguments or a complex number. "
+"First comes the function then optionally limits as <varname>x1</varname>, "
+"<varname>x2</varname>, <varname>y1</varname>, <varname>y2</varname>, "
+"<varname>z1</varname>, <varname>z2</varname>. If limits are not specified, "
+"then the currently set limits apply (See <link linkend=\"gel-function-"
+"SurfacePlotWindow\"><function>SurfacePlotWindow</function></link>). Genius "
+"can only plot a single surface function at this time."
+msgstr ""
+
+#: C/genius.xml:4974(para)
+msgid ""
+"Examples: <screen><prompt>genius&gt;</prompt> <userinput>SurfacePlot(|sin|,-"
+"1,1,-1,1,0,1.5)</userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>SurfacePlot(`(x,y)=x^2+y,-1,1,-1,1,-"
+"2,2)</userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>SurfacePlot(`(z)=|z|^2,-1,1,-1,1,0,2)</"
+"userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:4985(term)
+msgid "VectorfieldClearSolutions"
+msgstr "VectorfieldClearSolutions"
+
+#: C/genius.xml:4987(synopsis)
+#, no-wrap
+msgid "VectorfieldClearSolutions ()"
+msgstr "VectorfieldClearSolutions ()"
+
+#: C/genius.xml:4988(para)
+msgid ""
+"Clears the solutions drawn by the <link linkend=\"gel-function-"
+"VectorfieldDrawSolution\"><function>VectorfieldDrawSolution</function></link> "
+"function."
+msgstr ""
+
+#: C/genius.xml:4997(term)
+msgid "VectorfieldDrawSolution"
+msgstr "VectorfieldDrawSolution"
+
+#: C/genius.xml:4999(synopsis)
+#, no-wrap
+msgid "VectorfieldDrawSolution (x, y, dt, tlen)"
+msgstr "VectorfieldDrawSolution (x, y, dt, tlen)"
+
+#: C/genius.xml:5000(para)
+msgid ""
+"When a vector field plot is active, draw a solution with the specified "
+"initial condition. The standard Runge-Kutta method is used with increment "
+"<varname>dt</varname> for an interval of length <varname>tlen</varname>. "
+"Solutions stay on the graph until a different plot is shown or until you call "
+"<link linkend=\"gel-function-VectorfieldClearSolutions"
+"\"><function>VectorfieldClearSolutions</function></link>. You can also use "
+"the graphical interface to draw solutions and specify initial conditions with "
+"the mouse."
+msgstr ""
+
+#: C/genius.xml:5015(term)
+msgid "VectorfieldPlot"
+msgstr "VectorfieldPlot"
+
+#: C/genius.xml:5017(synopsis)
+#, no-wrap
+msgid "VectorfieldPlot (funcx, funcy)"
+msgstr "VectorfieldPlot (funcx, funcy)"
+
+#: C/genius.xml:5018(synopsis)
+#, no-wrap
+msgid "VectorfieldPlot (funcx, funcy, x1, x2, y1, y2)"
+msgstr "VectorfieldPlot (funcx, funcy, x1, x2, y1, y2)"
+
+#: C/genius.xml:5019(para)
+msgid ""
+"Plot a two dimensional vector field. The function <varname>funcx</varname> "
+"should be the dx/dt of the vectorfield and the function <varname>funcy</"
+"varname> should be the dy/dt of the vectorfield. The functions should take "
+"two real numbers <varname>x</varname> and <varname>y</varname>, or a single "
+"complex number. When the parameter <link linkend=\"gel-function-"
+"VectorfieldNormalized\"><function>VectorfieldNormalized</function></link> is "
+"<constant>true</constant>, then the magnitude of the vectors is normalized. "
+"That is, only the direction and not the magnitude is shown."
+msgstr ""
+
+#: C/genius.xml:5032(para)
+msgid ""
+"Optionally you can specify the limits of the plotting window as <varname>x1</"
+"varname>, <varname>x2</varname>, <varname>y1</varname>, <varname>y2</"
+"varname>. If limits are not specified, then the currently set limits apply "
+"(See <link linkend=\"gel-function-LinePlotWindow\"><function>LinePlotWindow</"
+"function></link>)."
+msgstr ""
+
+#: C/genius.xml:5044(para)
+msgid ""
+"Examples: <screen><prompt>genius&gt;</prompt> <userinput>VectorfieldPlot(`(x,"
+"y)=x^2-y, `(x,y)=y^2-x, -1, 1, -1, 1)</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:2420(title)
+msgid "Example Programs in GEL"
+msgstr ""
+
+#: C/genius.xml:2422(para)
+msgid "Here is a function that calculates factorials: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:2427(para)
+msgid "With indentation it becomes: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:2437(para)
+msgid ""
+"This is a direct port of the factorial function from the <application>bc</"
+"application> manpage. The syntax seems similar to <application>bc</"
+"application>, but different in that in GEL, the last expression is the one "
+"that is returned. Using the <literal>return</literal> function instead, it "
+"would be: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:2450(programlisting)
+#, no-wrap
+msgid "function f(x) = prod k=1 to x do k\n"
+msgstr "function f(x) = prod k=1 to x do k\n"
+
+#: C/genius.xml:2446(para)
+msgid ""
+"By far the easiest way to define a factorial function would be using the "
+"product loop as follows. This is not only the shortest and fastest, but also "
+"probably the most readable version. <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:2454(para)
+msgid ""
+"Here is a larger example, this basically redefines the internal "
+"<function>ref</function> function to calculate the row echelon form of a "
+"matrix. The function <function>ref</function> is built in and much faster, "
+"but this example demonstrates some of the more complex features of GEL. "
+"<placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:2509(para)
+msgid ""
+"To configure <application>Genius Mathematics Tool</application>, choose "
+"<menuchoice><guimenu>Settings</guimenu><guimenuitem>Preferences</"
+"guimenuitem></menuchoice>. There are several basic parameters provided by the "
+"calculator in addition to the ones provided by the standard library. These "
+"control how the calculator behaves."
+msgstr ""
+
+#: C/genius.xml:2519(title)
+msgid "Changing Settings with GEL"
+msgstr ""
+
+#: C/genius.xml:2520(para)
+msgid ""
+"Many of the settings in Genius are simply global variables, and can be "
+"evaluated and assigned to in the same way as normal variables. See <xref "
+"linkend=\"genius-gel-variables\"/> about evaluating and assigning to "
+"variables, and <xref linkend=\"genius-gel-function-parameters\"/> for a list "
+"of settings that can be modified in this way."
+msgstr ""
+
+#: C/genius.xml:2529(programlisting)
+#, no-wrap
+msgid "MaxDigits = 12\n"
+msgstr "MaxDigits = 12\n"
+
+#: C/genius.xml:2527(para)
+msgid ""
+"As an example, you can set the maximum number of digits in a result to 12 by "
+"typing: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:2535(title)
+msgid "Output"
+msgstr ""
+
+#: C/genius.xml:2539(guilabel)
+msgid "Maximum digits to output"
+msgstr ""
+
+#: C/genius.xml:2542(para)
+msgid "The maximum digits in a result (<function>MaxDigits</function>)"
+msgstr ""
+
+#: C/genius.xml:2547(guilabel)
+msgid "Results as floats"
+msgstr ""
+
+#: C/genius.xml:2550(para)
+msgid ""
+"If the results should be always printed as floats (<function>ResultsAsFloats</"
+"function>)"
+msgstr ""
+
+#: C/genius.xml:2555(guilabel)
+msgid "Floats in scientific notation"
+msgstr ""
+
+#: C/genius.xml:2558(para)
+msgid ""
+"If floats should be in scientific notation (<function>ScientificNotation</"
+"function>)"
+msgstr ""
+
+#: C/genius.xml:2563(guilabel)
+msgid "Always print full expressions"
+msgstr ""
+
+#: C/genius.xml:2566(para)
+msgid ""
+"Should we print out full expressions for non-numeric return values (longer "
+"than a line) (<function>FullExpressions</function>)"
+msgstr ""
+
+#: C/genius.xml:2572(guilabel)
+msgid "Use mixed fractions"
+msgstr ""
+
+#: C/genius.xml:2575(para)
+msgid ""
+"If fractions should be printed as mixed fractions such as \"1 1/3\" rather "
+"than \"4/3\". (<function>MixedFractions</function>)"
+msgstr ""
+
+#: C/genius.xml:2581(guilabel)
+msgid "Display 0.0 when floating point number is less than 10^-x (0=never chop)"
+msgstr ""
+
+#: C/genius.xml:2584(para)
+msgid ""
+"How to chop output. But only when other numbers nearby are large. See the "
+"documentation of the paramter <link linkend=\"gel-function-OutputChopExponent"
+"\"><function>OutputChopExponent</function></link>."
+msgstr ""
+
+#: C/genius.xml:2592(guilabel)
+msgid "Only chop numbers when another number is greater than 10^-x"
+msgstr ""
+
+#: C/genius.xml:2595(para)
+msgid ""
+"When to chop output. This is set by the paramter "
+"<function>OutputChopWhenExponent</function>. See the documentation of the "
+"paramter <link linkend=\"gel-function-OutputChopExponent"
+"\"><function>OutputChopExponent</function></link>."
+msgstr ""
+
+#: C/genius.xml:2603(guilabel)
+msgid "Remember output settings across sessions"
+msgstr ""
+
+#: C/genius.xml:2606(para)
+msgid ""
+"Should the output settings in the <guilabel>Number/Expression output options</"
+"guilabel> frame be remembered for next session. Does not apply to the "
+"<guilabel>Error/Info output options</guilabel> frame."
+msgstr ""
+
+#: C/genius.xml:2608(para)
+msgid ""
+"If unchecked, either the default or any previously saved settings are used "
+"each time Genius starts up. Note that settings are saved at the end of the "
+"session, so if you wish to change the defaults check this box, restart "
+"<application>Genius Mathematics Tool</application> and then uncheck it again."
+msgstr ""
+
+#: C/genius.xml:2620(guilabel)
+msgid "Display errors in a dialog"
+msgstr ""
+
+#: C/genius.xml:2623(para)
+msgid ""
+"If set the errors will be displayed in a seprate dialog, if unset the errors "
+"will be printed on the console."
+msgstr ""
+
+#: C/genius.xml:2630(guilabel)
+msgid "Display information messages in a dialog"
+msgstr ""
+
+#: C/genius.xml:2633(para)
+msgid ""
+"If set the information messages will be displayed in a seprate dialog, if "
+"unset the information messages will be printed on the console."
+msgstr ""
+
+#: C/genius.xml:2641(guilabel)
+msgid "Maximum errors to display"
+msgstr ""
+
+#: C/genius.xml:2644(para)
+msgid ""
+"The maximum number of errors to return on one evaluation "
+"(<function>MaxErrors</function>). If you set this to 0 then all errors are "
+"always returned. Usually if some loop causes many errors, then it is unlikely "
+"that you will be able to make sense out of more than a few of these, so "
+"seeing a long list of errors is usually not helpful."
+msgstr ""
+
+#: C/genius.xml:2656(para)
+msgid ""
+"In addition to these preferences, there are some preferences that can only be "
+"changed by setting them in the workspace console. For others that may affect "
+"the output see <xref linkend=\"genius-gel-function-parameters\"/>."
+msgstr ""
+
+#: C/genius.xml:2669(para)
+msgid "The base that will be used to output integers"
+msgstr ""
+
+#: C/genius.xml:2678(para)
+msgid ""
+"A string, can be <literal>\"normal\"</literal>, <literal>\"latex\"</literal>, "
+"<literal>\"mathml\"</literal> or <literal>\"troff\"</literal> and it will "
+"effect how matrices (and perhaps other stuff) is printed, useful for pasting "
+"into documents. Normal style is the default human readable printing style of "
+"<application>Genius Mathematics Tool</application>. The other styles are for "
+"typsetting in LaTeX, MathML (XML), or in Troff."
+msgstr ""
+
+#: C/genius.xml:2690(title)
+msgid "Precision"
+msgstr ""
+
+#: C/genius.xml:2694(guilabel)
+msgid "Floating point precision"
+msgstr ""
+
+#: C/genius.xml:2697(para)
+msgid ""
+"The floating point precision in bits (<function>FloatPrecision</function>). "
+"Note that changing this only affects newly computed quantities. Old values "
+"stored in variables are obviously still in the old precision and if you want "
+"to have them more precise you will have to recompute them. Exceptions to this "
+"are the system constants such as <function>pi</function> or <function>e</"
+"function>."
+msgstr ""
+
+#: C/genius.xml:2712(guilabel)
+msgid "Remember precision setting across sessions"
+msgstr ""
+
+#: C/genius.xml:2715(para)
+msgid ""
+"Should the precision setting be remembered for the next session. If "
+"unchecked, either the default or any previously saved setting is used each "
+"time Genius starts up. Note that settings are saved at the end of the "
+"session, so if you wish to change the default check this box, restart genius "
+"and then uncheck it again."
+msgstr ""
+
+#: C/genius.xml:2728(title)
+msgid "Terminal"
+msgstr "Terminal"
+
+#: C/genius.xml:2730(para)
+msgid "Terminal refers to the console in the work area."
+msgstr "»Terminal« bezieht sich auf die Konsole im Arbeitsplatz."
+
+#: C/genius.xml:2737(guilabel)
+msgid "Scrollback lines"
+msgstr ""
+
+#: C/genius.xml:2740(para)
+msgid "Lines of scrollback in the terminal."
+msgstr ""
+
+#: C/genius.xml:2745(guilabel)
+msgid "Font"
+msgstr "Schrift"
+
+#: C/genius.xml:2748(para)
+msgid "The font to use on the terminal."
+msgstr "Die im Terminal zu verwendende Schrift."
+
+#: C/genius.xml:2753(guilabel)
+msgid "Black on white"
+msgstr "Schwarz auf WeiÃ?"
+
+#: C/genius.xml:2756(para)
+msgid "If to use black on white on the terminal."
+msgstr ""
+
+#: C/genius.xml:2761(guilabel)
+msgid "Blinking cursor"
+msgstr ""
+
+#: C/genius.xml:2764(para)
+msgid ""
+"If the cursor in the terminal should blink when the terminal is in focus. "
+"This can sometimes be annoying and it generates idle traffic if you are using "
+"Genius remotely."
+msgstr ""
+
+#: C/genius.xml:2771(title)
+msgid "Memory"
+msgstr ""
+
+#: C/genius.xml:2775(guilabel)
+msgid "Maximum number of nodes to allocate"
+msgstr ""
+
+#: C/genius.xml:2778(para)
+msgid ""
+"Internally all data is put onto small nodes in memory. This gives a limit on "
+"the maximum number of nodes to allocate for computations. This avoids the "
+"problem of running out of memory if you do something by mistake which uses "
+"too much memory, such as a recursion without end. This could slow your "
+"computer and make it hard to even interrupt the program."
+msgstr ""
+
+#: C/genius.xml:2786(para)
+msgid ""
+"Once the limit is reached, <application>Genius Mathematics Tool</application> "
+"asks if you wish to interrupt the computation or if you wish to continue. If "
+"you continue, no limit is applied and it will be possible to run your "
+"computer out of memory. The limit will be applied again next time you execute "
+"a program or an expression on the Console regardless of how you answered the "
+"question."
+msgstr ""
+
+#: C/genius.xml:2794(para)
+msgid ""
+"Setting the limit to zero means there is no limit to the amount of memory "
+"that genius uses."
+msgstr ""
+
+#: C/genius.xml:2808(title)
+msgid "About <application>Genius Mathematics Tool</application>"
+msgstr "Info zu <application>Genius Mathematikwerkzeug</application>"
+
+#: C/genius.xml:2810(para)
+msgid ""
+"<application>Genius Mathematics Tool</application> was written by JiÅ?&iacute; "
+"(George) Lebl (<email>jirka 5z com</email>). The history of "
+"<application>Genius Mathematics Tool</application> goes back to late 1997. It "
+"was the first calculator program for GNOME, but it then grew beyond being "
+"just a desktop calculator. To find more information about <application>Genius "
+"Mathematics Tool</application>, please visit the <ulink url=\"http://www.";
+"jirka.org/genius.html\" type=\"http\">Genius Web page</ulink>."
+msgstr ""
+
+#: C/genius.xml:2814(para)
+msgid ""
+"To report a bug or make a suggestion regarding this application or this "
+"manual, follow the directions in this <ulink url=\"ghelp:gnome-feedback\" "
+"type=\"help\">document</ulink>."
+msgstr ""
+"Um Fehler zu melden oder einen Vorschlag zur dieser Anwendung oder zu diesem "
+"Handbuch zu machen, folgen Sie den Anweisungen in diesem <ulink url=\"ghelp:"
+"gnome-feedback\" type=\"help\">Dokument</ulink>."
+
+#: C/genius.xml:2820(para)
+msgid ""
+"This program is distributed under the terms of the GNU General Public license "
+"as published by the Free Software Foundation; either version 2 of the "
+"License, or (at your option) any later version. A copy of this license can be "
+"found at this <ulink url=\"ghelp:gpl\" type=\"help\">link</ulink>, or in the "
+"file COPYING included with the source code of this program."
+msgstr ""
+"Dieses Programm ist freie Software. Sie können es unter den Bedingungen der "
+"<citetitle>GNU General Public License</citetitle>, wie von der Free Software "
+"Foundation veröffentlicht, weitergeben und/oder modifizieren, entweder gemä� "
+"Version 2 der Lizenz oder (nach Ihrer Option) jeder späteren Version. Eine "
+"Kopie der <citetitle>GNU General Public License</citetitle> finden Sie in der "
+"<ulink url=\"ghelp:gpl\" type=\"help\">GPL</ulink>, oder in der Datei "
+"COPYING, die im Quellcode dieses Programms enthalten ist."
+
+#. Put one translator per line, in the form of NAME <EMAIL>, YEAR1, YEAR2.
+#: C/legal.xml:0(None)
+msgid "translator-credits"
+msgstr "Mario Blättermann <mariobl gnome org>, 2009"