[genius] Updated Spanish translation
- From: Daniel Mustieles García <dmustieles src gnome org>
- To: commits-list gnome org
- Cc:
- Subject: [genius] Updated Spanish translation
- Date: Thu, 27 Jan 2011 20:06:25 +0000 (UTC)
commit 1b4dab1d8d0ef30accb76f18fe4e3911369e2f22
Author: Daniel Mustieles <daniel mustieles gmail com>
Date: Thu Jan 27 21:07:39 2011 +0100
Updated Spanish translation
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+# Spanish translation for genius.
+# Copyright (C) 2011 genius's COPYRIGHT HOLDER
+# This file is distributed under the same license as the genius package.
+# Daniel Mustieles <daniel mustieles gmail com>, 2011.
+#
+msgid ""
+msgstr ""
+"Project-Id-Version: genius master\n"
+"POT-Creation-Date: 2011-01-18 23:18+0000\n"
+"PO-Revision-Date: 2011-01-26 15:54+0100\n"
+"Last-Translator: Daniel Mustieles <daniel mustieles gmail com>\n"
+"Language-Team: Español <gnome-es-list gnome org>\n"
+"MIME-Version: 1.0\n"
+"Content-Type: text/plain; charset=UTF-8\n"
+"Content-Transfer-Encoding: 8bit\n"
+"Plural-Forms: nplurals=2; plural=(n != 1);\n"
+
+#. 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:260(None)
+msgid ""
+"@@image: 'figures/genius_window.png'; md5=726c4fc51539c5898333fa28720f94b3"
+msgstr ""
+"@@image: 'figures/genius_window.png'; md5=726c4fc51539c5898333fa28720f94b3"
+
+#. 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:264(None)
+msgid ""
+"@@image: 'figures/genius_window.eps'; md5=b2fe72c0dea70343a11a7bbc2225f985"
+msgstr ""
+"@@image: 'figures/genius_window.eps'; md5=b2fe72c0dea70343a11a7bbc2225f985"
+
+#. 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:465(None)
+msgid "@@image: 'figures/line_plot.png'; md5=0ce9e28d32f414d68a0958a1c38918fc"
+msgstr "@@image: 'figures/line_plot.png'; md5=0ce9e28d32f414d68a0958a1c38918fc"
+
+#. 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:468(None)
+msgid "@@image: 'figures/line_plot.eps'; md5=1977b7181c5d8ecb7d4348e1de79919b"
+msgstr "@@image: 'figures/line_plot.eps'; md5=1977b7181c5d8ecb7d4348e1de79919b"
+
+#. 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:494(None)
+msgid ""
+"@@image: 'figures/line_plot_graph.png'; md5=284ee1a4302f7ce163b72b7d5ce7fb91"
+msgstr ""
+"@@image: 'figures/line_plot_graph.png'; md5=284ee1a4302f7ce163b72b7d5ce7fb91"
+
+#. 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:497(None)
+msgid ""
+"@@image: 'figures/line_plot_graph.eps'; md5=201bfa54ba0797171d8910eb946354c1"
+msgstr ""
+"@@image: 'figures/line_plot_graph.eps'; md5=201bfa54ba0797171d8910eb946354c1"
+
+#. 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:534(None)
+msgid "@@image: 'figures/parametric.png'; md5=d6be229108fb50a16e8bdbbfde822ba8"
+msgstr ""
+"@@image: 'figures/parametric.png'; md5=d6be229108fb50a16e8bdbbfde822ba8"
+
+#. 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:537(None)
+msgid "@@image: 'figures/parametric.eps'; md5=52274a10d3e58dc8f883fdf3a48d5ad3"
+msgstr ""
+"@@image: 'figures/parametric.eps'; md5=52274a10d3e58dc8f883fdf3a48d5ad3"
+
+#. 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:561(None)
+msgid ""
+"@@image: 'figures/parametric_graph.png'; md5=74cbbc455c4fd79de6d0e60d0b54aa4c"
+msgstr ""
+"@@image: 'figures/parametric_graph.png'; md5=74cbbc455c4fd79de6d0e60d0b54aa4c"
+
+#. 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:564(None)
+msgid ""
+"@@image: 'figures/parametric_graph.eps'; md5=223659107c58320edd6030193c89524c"
+msgstr ""
+"@@image: 'figures/parametric_graph.eps'; md5=223659107c58320edd6030193c89524c"
+
+#. 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:666(None)
+msgid ""
+"@@image: 'figures/surface_graph.png'; md5=45b10d405b4cd88ad07413452e5f68ac"
+msgstr ""
+"@@image: 'figures/surface_graph.png'; md5=45b10d405b4cd88ad07413452e5f68ac"
+
+#. 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:669(None)
+msgid ""
+"@@image: 'figures/surface_graph.eps'; md5=b505c811ddf51b109722ccc53f176dd2"
+msgstr ""
+"@@image: 'figures/surface_graph.eps'; md5=b505c811ddf51b109722ccc53f176dd2"
+
+#: C/genius.xml:29(abstract)
+msgid "Manual for the Genius Math Tool."
+msgstr ""
+
+#: C/genius.xml:30(title)
+msgid "Genius Manual"
+msgstr ""
+
+#: C/genius.xml:33(year)
+msgid "1997-2010"
+msgstr "1997-2010"
+
+#: C/genius.xml:34(holder)
+msgid "JiÅ?í (George) Lebl"
+msgstr "JiÅ?í (George) Lebl"
+
+#: C/genius.xml:37(year)
+msgid "2004"
+msgstr "2004"
+
+#: C/genius.xml:38(holder)
+msgid "Kai Willadsen"
+msgstr "Kai Willadsen"
+
+#: C/genius.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 ""
+
+#: C/genius.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 ""
+
+#: C/genius.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 ""
+
+#: C/genius.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 ""
+
+#: C/genius.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 ""
+
+#: C/genius.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 ""
+
+#: C/genius.xml:58(firstname)
+msgid "JiÅ?í"
+msgstr "JiÅ?í"
+
+#: C/genius.xml:59(surname)
+msgid "Lebl"
+msgstr "Lebl"
+
+#: C/genius.xml:61(orgname)
+msgid "University of Illinois, Urbana-Champaign"
+msgstr ""
+
+#: C/genius.xml:62(email)
+msgid "jirka 5z com"
+msgstr "jirka 5z com"
+
+#: C/genius.xml:66(firstname)
+msgid "Kai"
+msgstr "Kai"
+
+#: C/genius.xml:67(surname)
+msgid "Willadsen"
+msgstr "Willadsen"
+
+#: C/genius.xml:69(orgname)
+msgid "University of Queensland, Australia"
+msgstr ""
+
+#: C/genius.xml:70(email)
+msgid "kaiw itee uq edu au"
+msgstr "kaiw itee uq edu au"
+
+#: C/genius.xml:138(revnumber)
+msgid "0.2"
+msgstr "0.2"
+
+#: C/genius.xml:139(date)
+msgid "September 2010"
+msgstr "Septiembre de 2010"
+
+#: C/genius.xml:141(para)
+msgid "Jiri (George) Lebl <email>jirka 5z com</email>"
+msgstr "Jiri (George) Lebl <email>jirka 5z com</email>"
+
+#: C/genius.xml:147(releaseinfo)
+msgid "This manual describes version 1.0.11 of Genius."
+msgstr ""
+
+#: C/genius.xml:150(title)
+msgid "Feedback"
+msgstr ""
+
+#: C/genius.xml:151(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 ""
+
+#: C/genius.xml:161(title)
+msgid "Introduction"
+msgstr ""
+
+#: C/genius.xml:162(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 ‘"
+"mathematical’ in the sense that it should be ‘what you mean is "
+"what you get’. 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:176(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:184(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:195(title)
+msgid "Getting Started"
+msgstr ""
+
+#: C/genius.xml:198(title)
+msgid "To Start <application>Genius Mathematics Tool</application>"
+msgstr ""
+
+#: C/genius.xml:199(para)
+msgid ""
+"You can start <application><application>Genius Mathematics Tool</"
+"application></application> in the following ways:"
+msgstr ""
+
+#: C/genius.xml:203(term)
+msgid "<guimenu>Applications</guimenu> menu"
+msgstr ""
+
+#: C/genius.xml:205(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:221(term)
+msgid "<guilabel>Run</guilabel> dialog"
+msgstr ""
+
+#: C/genius.xml:223(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:231(term)
+msgid "Command line"
+msgstr ""
+
+#: C/genius.xml:233(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:237(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:249(title)
+msgid "When You Start Genius"
+msgstr ""
+
+#: C/genius.xml:250(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 ""
+
+#: C/genius.xml:255(title)
+msgid "<application>Genius Mathematics Tool</application> Window"
+msgstr ""
+
+#: C/genius.xml:0(application)
+msgid "Genius Mathematics Tool"
+msgstr ""
+
+#: C/genius.xml:268(guilabel)
+msgid "File"
+msgstr ""
+
+#: C/genius.xml:269(guilabel)
+msgid "Edit"
+msgstr ""
+
+#: C/genius.xml:269(guilabel)
+msgid "Calculator"
+msgstr ""
+
+#: C/genius.xml:270(guilabel) C/genius.xml:2750(title)
+msgid "Settings"
+msgstr ""
+
+#: C/genius.xml:270(guilabel)
+msgid "Help"
+msgstr ""
+
+#: C/genius.xml:267(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 ""
+
+#: C/genius.xml:276(para)
+msgid ""
+"The <application>Genius Mathematics Tool</application> window contains the "
+"following elements:"
+msgstr ""
+
+#: C/genius.xml:280(term)
+msgid "Menubar."
+msgstr ""
+
+#: C/genius.xml:282(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:287(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:295(para)
+msgid "The other menus have same familiar functions as in other applications."
+msgstr ""
+
+#: C/genius.xml:301(term)
+msgid "Toolbar."
+msgstr ""
+
+#: C/genius.xml:303(para)
+msgid ""
+"The toolbar contains a subset of the commands that you can access from the "
+"menubar."
+msgstr ""
+
+#: C/genius.xml:307(term)
+msgid "Working area"
+msgstr ""
+
+#: C/genius.xml:309(para)
+msgid ""
+"The working area is the primary method of interacting with the application."
+msgstr ""
+
+#: C/genius.xml:313(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:319(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:333(title)
+msgid "Basic Usage"
+msgstr ""
+
+#: C/genius.xml:336(title)
+msgid "Using the Work Area"
+msgstr ""
+
+#: C/genius.xml:338(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 will be evaluated."
+msgstr ""
+
+#: C/genius.xml:346(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> </"
+"prompt><userinput>30*70 + 67^3.0 + ln(7) * (88.8/100)</userinput>\n"
+"</screen> or <screen><prompt>genius> </prompt><userinput>62734 + 812634 + "
+"77^4 mod 5</userinput>\n"
+"</screen> or <screen><prompt>genius> </prompt><userinput>| sin(37) - e^7 |"
+"</userinput>\n"
+"</screen> or <screen><prompt>genius> </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:364(para)
+msgid ""
+"To get a list of functions and commands, type: <screen><prompt>genius> </"
+"prompt><userinput>help</userinput>\n"
+"</screen> If you wish to get more help on a specific function, type: "
+"<screen><prompt>genius> </prompt><userinput>help FunctionName</"
+"userinput>\n"
+"</screen> To view this manual, type: <screen><prompt>genius> </"
+"prompt><userinput>manual</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:375(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> </"
+"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:389(title)
+msgid "To Create a New Program"
+msgstr ""
+
+#: C/genius.xml:390(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:406(para)
+msgid ""
+"To save the program you've just written, choose <menuchoice><guimenu>File</"
+"guimenu><guimenuitem>Save As...</guimenuitem></menuchoice>"
+msgstr ""
+
+#: C/genius.xml:412(title)
+msgid "To Open and Run a Program"
+msgstr ""
+
+#: C/genius.xml:413(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 ""
+
+#: C/genius.xml:419(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:431(title) C/genius.xml:5205(title)
+msgid "Plotting"
+msgstr ""
+
+#: C/genius.xml:433(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:446(title)
+msgid "Line Plots"
+msgstr ""
+
+#: C/genius.xml:447(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:453(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:461(title)
+msgid "Create Plot Window"
+msgstr ""
+
+#: C/genius.xml:471(phrase)
+msgid "Shows the line plotting window."
+msgstr ""
+
+#: C/genius.xml:477(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:490(title)
+msgid "Plot Window"
+msgstr ""
+
+#: C/genius.xml:500(phrase)
+msgid "The graph produced."
+msgstr ""
+
+#: C/genius.xml:506(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:513(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:520(title)
+msgid "Parametric Plots"
+msgstr ""
+
+#: C/genius.xml:521(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:530(title)
+msgid "Parametric Plot Tab"
+msgstr ""
+
+#: C/genius.xml:540(guilabel)
+msgid "Create Plot"
+msgstr ""
+
+#: C/genius.xml:540(phrase)
+msgid "Parametric plotting tab in the <placeholder-1/> window."
+msgstr ""
+
+#: C/genius.xml:546(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:557(title)
+msgid "Parametric Plot"
+msgstr ""
+
+#: C/genius.xml:567(phrase)
+msgid "Parametric plot produced"
+msgstr ""
+
+#: C/genius.xml:576(title)
+msgid "Slopefield Plots"
+msgstr ""
+
+#: C/genius.xml:577(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:586(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:595(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:608(title)
+msgid "Vectorfield Plots"
+msgstr ""
+
+#: C/genius.xml:609(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:618(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:624(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:633(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:646(title)
+msgid "Surface Plots"
+msgstr ""
+
+#: C/genius.xml:647(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:662(title)
+msgid "Surface Plot"
+msgstr ""
+
+#: C/genius.xml:672(phrase)
+msgid "Modulus of the complex cosine function."
+msgstr ""
+
+#: C/genius.xml:684(title)
+msgid "GEL Basics"
+msgstr ""
+
+#: C/genius.xml:686(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:698(title)
+msgid "Values"
+msgstr ""
+
+#: C/genius.xml:700(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:705(title)
+msgid "Numbers"
+msgstr ""
+
+#: C/genius.xml:708(programlisting)
+#, no-wrap
+msgid "1234\n"
+msgstr "1234\n"
+
+#: C/genius.xml:711(programlisting)
+#, no-wrap
+msgid ""
+"0x123ABC\n"
+"01234\n"
+msgstr ""
+"0x123ABC\n"
+"01234\n"
+
+#: C/genius.xml:715(programlisting)
+#, no-wrap
+msgid "23\\1234ABCD\n"
+msgstr "23\\1234ABCD\n"
+
+#: C/genius.xml:706(para)
+msgid ""
+"Integers are the first type of number in GEL. Integers are written in the "
+"normal way. <placeholder-1/> Hexadecimal and octal numbers can be written "
+"using C notation. For example: <placeholder-2/> Or you can type numbers in "
+"an arbitrary base using <literal><base>\\<number></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:721(programlisting)
+#, no-wrap
+msgid "3/4\n"
+msgstr "3/4\n"
+
+#: C/genius.xml:724(programlisting)
+#, no-wrap
+msgid "1 3/10\n"
+msgstr "1 3/10\n"
+
+#: C/genius.xml:719(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:730(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:728(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:746(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:744(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:753(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:757(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:766(title)
+msgid "Booleans"
+msgstr ""
+
+#: C/genius.xml:767(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:775(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:784(programlisting)
+#, no-wrap
+msgid "( (1 + true) - false ) * true\n"
+msgstr "( (1 + true) - false ) * true\n"
+
+#: C/genius.xml:787(programlisting)
+#, no-wrap
+msgid "( (true or true) or not false ) and true\n"
+msgstr "( (true or true) or not false ) and true\n"
+
+#: C/genius.xml:790(programlisting)
+#, no-wrap
+msgid "1 == true\n"
+msgstr "1 == true\n"
+
+#: C/genius.xml:782(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:798(title)
+msgid "Strings"
+msgstr ""
+
+#: C/genius.xml:801(programlisting)
+#, no-wrap
+msgid "a=2+3;\"The result is: \"+a\n"
+msgstr ""
+
+#: C/genius.xml:804(programlisting)
+#, no-wrap
+msgid "The result is: 5\n"
+msgstr ""
+
+#: C/genius.xml:807(programlisting)
+#, no-wrap
+msgid "\"Slash: \\\\ Quotes: \\\" Tabs: \\t1\\t2\\t3\"\n"
+msgstr ""
+
+#: C/genius.xml:810(programlisting)
+#, no-wrap
+msgid "Slash: \\ Quotes: \" Tabs: \t1\t2\t3\n"
+msgstr ""
+
+#: C/genius.xml:799(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:815(programlisting)
+#, no-wrap
+msgid "string(22)\n"
+msgstr "string(22)\n"
+
+#: C/genius.xml:818(programlisting)
+#, no-wrap
+msgid "\"22\"\n"
+msgstr "\"22\"\n"
+
+#: C/genius.xml:813(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><=></literal> "
+"(comparison) operators"
+msgstr ""
+
+#: C/genius.xml:826(title)
+msgid "Null"
+msgstr ""
+
+#: C/genius.xml:827(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:840(programlisting)
+#, no-wrap
+msgid ""
+"x=5;.\n"
+"x=5;\n"
+msgstr ""
+"x=5;.\n"
+"x=5;\n"
+
+#: C/genius.xml:838(para) C/genius.xml:2007(para)
+msgid "Example: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:844(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:854(title)
+msgid "Using Variables"
+msgstr ""
+
+#: C/genius.xml:858(programlisting)
+#, no-wrap
+msgid "VariableName\n"
+msgstr ""
+
+#: C/genius.xml:856(para)
+msgid ""
+"Syntax: <placeholder-1/> Example: <screen><prompt>genius> </"
+"prompt><userinput>e</userinput>\n"
+"= 2.71828182846\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:866(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:871(title) C/genius.xml:957(title)
+msgid "Using Tab completion"
+msgstr ""
+
+#: C/genius.xml:872(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:878(title)
+msgid "Variable names are case sensitive"
+msgstr ""
+
+#: C/genius.xml:879(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:886(title)
+msgid "Setting Variables"
+msgstr ""
+
+#: C/genius.xml:893(programlisting)
+#, no-wrap
+msgid ""
+"x = 3\n"
+"x := 3\n"
+msgstr ""
+"x = 3\n"
+"x := 3\n"
+
+#: C/genius.xml:887(para)
+msgid "Syntax: <placeholder-1/> Example: <placeholder-2/>"
+msgstr ""
+
+#: C/genius.xml:900(programlisting)
+#, no-wrap
+msgid "a = b = 5\n"
+msgstr "a = b = 5\n"
+
+#: C/genius.xml:898(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:904(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:908(para)
+msgid ""
+"For issues regarding the scope of variables, see <xref linkend=\"genius-gel-"
+"variables-global\"/>."
+msgstr ""
+
+#: C/genius.xml:915(title)
+msgid "Built-in Variables"
+msgstr ""
+
+#: C/genius.xml:916(para)
+msgid ""
+"GEL has a number of built-in ‘variables’, 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:927(title)
+msgid "Previous Result Variable"
+msgstr ""
+
+#: C/genius.xml:930(programlisting)
+#, no-wrap
+msgid "Ans+389\n"
+msgstr ""
+
+#: C/genius.xml:928(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:937(title)
+msgid "Using Functions"
+msgstr ""
+
+#: C/genius.xml:941(programlisting)
+#, no-wrap
+msgid "FunctionName(argument1, argument2, ...)\n"
+msgstr ""
+
+#: C/genius.xml:944(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:939(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:952(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:958(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:964(title)
+msgid "Function names are case sensitive"
+msgstr ""
+
+#: C/genius.xml:965(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:972(title)
+msgid "Defining Functions"
+msgstr ""
+
+#: C/genius.xml:973(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:984(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:981(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:991(title)
+msgid "Variable Argument Lists"
+msgstr ""
+
+#: C/genius.xml:994(programlisting)
+#, no-wrap
+msgid "function f(a,b...) = b\n"
+msgstr "function f(a,b...) = b\n"
+
+#: C/genius.xml:992(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:1002(title)
+msgid "Passing Functions to Functions"
+msgstr ""
+
+#: C/genius.xml:1004(para)
+msgid ""
+"In Genius, it is possible to pass a function as an argument to another "
+"function. This can be done using either ‘function nodes’ or "
+"anonymous functions."
+msgstr ""
+
+#: C/genius.xml:1011(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:1008(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 ‘function "
+"node’. The function node can then be passed to another function. "
+"Example: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:1024(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:1016(para)
+msgid ""
+"To pass functions which are not defined, you can use an anonymous function "
+"(see <xref linkend=\"genius-gel-functions-defining\"/>). That is, you want "
+"to pass a function without giving it a name. Syntax: <placeholder-1/> "
+"Example: <placeholder-2/> This will return 5."
+msgstr ""
+
+#: C/genius.xml:1033(title)
+msgid "Operations on Functions"
+msgstr ""
+
+#: C/genius.xml:1036(programlisting)
+#, no-wrap
+msgid "exp(sin*cos+4)\n"
+msgstr "exp(sin*cos+4)\n"
+
+#: C/genius.xml:1040(programlisting)
+#, no-wrap
+msgid "`(x) = exp(sin(x)*cos(x)+4)\n"
+msgstr "`(x) = exp(sin(x)*cos(x)+4)\n"
+
+#: C/genius.xml:1045(programlisting)
+#, no-wrap
+msgid "f = exp(sin*cos+4)\n"
+msgstr "f = exp(sin*cos+4)\n"
+
+#: C/genius.xml:1048(programlisting)
+#, no-wrap
+msgid "LinePlot(sin^2)\n"
+msgstr "LinePlot(sin^2)\n"
+
+#: C/genius.xml:1034(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 takes <varname>x</varname> and returns <userinput>exp(sin(x)"
+"*cos(x)+4)</userinput>. It is functionally equivalent to typing <placeholder-"
+"2/> This operation can be useful when quickly defining functions. For "
+"example to create a function called <varname>f</varname> to perform the "
+"above operation, you can just type: <placeholder-3/> It can also be used in "
+"plotting. For example, to plot sin squared you can enter: <placeholder-4/>"
+msgstr ""
+
+#: C/genius.xml:1053(para)
+msgid ""
+"Not all functions can be used in this way. For example, when you use a "
+"binary operation the functions must take the same number of arguments."
+msgstr ""
+
+#: C/genius.xml:1063(title)
+msgid "Absolute Value / Modulus"
+msgstr ""
+
+#: C/genius.xml:1067(programlisting)
+#, no-wrap
+msgid "|a-b|"
+msgstr "|a-b|"
+
+#: C/genius.xml:1064(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:1069(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:1078(title)
+msgid "Separator"
+msgstr ""
+
+#: C/genius.xml:1084(programlisting)
+#, no-wrap
+msgid "3 ; 5\n"
+msgstr "3 ; 5\n"
+
+#: C/genius.xml:1079(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:1088(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’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 useful 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:1104(title)
+msgid "Modular Evaluation"
+msgstr ""
+
+#: C/genius.xml:1109(programlisting)
+#, no-wrap
+msgid "2^(5!) * 3^(6!) mod 5"
+msgstr "2^(5!) * 3^(6!) mod 5"
+
+#: C/genius.xml:1105(para)
+msgid ""
+"Genius implements modular arithmetic. To use it you just add \"mod <"
+"integer>\" after the expression. Example: <placeholder-1/> It could be "
+"possible to do modular arithmetic by computing with integers and then "
+"modding in the end with the <literal>%</literal> operator, but that may be "
+"time consuming if not impossible when working with larger numbers. For "
+"example <userinput>10^(10^10) % 6</userinput> will simply not work (the "
+"exponent will be too large), while <userinput>10^(10^10) mod 6</userinput> "
+"is instanteneous."
+msgstr ""
+
+#: C/genius.xml:1121(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:1126(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:1117(para)
+msgid ""
+"You can calculate the inverses of numbers mod some integer by just using "
+"rational numbers (of course the inverse has to exist). Examples: "
+"<placeholder-1/> You can also do modular evaluation with matrices including "
+"taking inverses, powers and dividing. Example: <placeholder-2/> This should "
+"yield the identity matrix as B will be the inverse of A mod 5."
+msgstr ""
+
+#: C/genius.xml:1138(programlisting)
+#, no-wrap
+msgid ""
+"genius> sqrt(4) mod 7\n"
+"=\n"
+"[2, 5]\n"
+"genius> 2*2 mod 7\n"
+"= 4"
+msgstr ""
+"genius> sqrt(4) mod 7\n"
+"=\n"
+"[2, 5]\n"
+"genius> 2*2 mod 7\n"
+"= 4"
+
+#: C/genius.xml:1131(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:1149(title)
+msgid "List of GEL Operators"
+msgstr ""
+
+#: C/genius.xml:1151(para)
+msgid ""
+"Everything in gel is really just an expression. Expressions are stringed "
+"together with different operators. As we have seen, even the separator is "
+"simply a binary operator in GEL. Here is a list of the operators in GEL."
+msgstr ""
+
+#: C/genius.xml:1159(synopsis)
+#, no-wrap
+msgid "a;b"
+msgstr "a;b"
+
+#: C/genius.xml:1161(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:1173(synopsis)
+#, no-wrap
+msgid "a=b"
+msgstr "a=b"
+
+#: C/genius.xml:1175(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:1187(synopsis)
+#, no-wrap
+msgid "a:=b"
+msgstr "a:=b"
+
+#: C/genius.xml:1189(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:1200(synopsis)
+#, no-wrap
+msgid "|a|"
+msgstr "|a|"
+
+#: C/genius.xml:1202(para)
+msgid ""
+"Absolute value or modulus (if <varname>a</varname> is a complex number)."
+msgstr ""
+
+#: C/genius.xml:1206(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/AbsoluteValue.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1215(synopsis)
+#, no-wrap
+msgid "a^b"
+msgstr "a^b"
+
+#: C/genius.xml:1217(para)
+msgid ""
+"Exponentiation, raises <varname>a</varname> to the <varname>b</varname>th "
+"power."
+msgstr ""
+
+#: C/genius.xml:1225(synopsis)
+#, no-wrap
+msgid "a.^b"
+msgstr "a.^b"
+
+#: C/genius.xml:1227(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:1242(synopsis)
+#, no-wrap
+msgid "a+b"
+msgstr "a+b"
+
+#: C/genius.xml:1244(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:1253(synopsis)
+#, no-wrap
+msgid "a-b"
+msgstr "a-b"
+
+#: C/genius.xml:1255(para)
+msgid "Subtraction. Subtract two numbers, matrices or functions."
+msgstr ""
+
+#: C/genius.xml:1263(synopsis)
+#, no-wrap
+msgid "a*b"
+msgstr "a*b"
+
+#: C/genius.xml:1265(para)
+msgid "Multiplication. This is the normal matrix multiplication."
+msgstr ""
+
+#: C/genius.xml:1273(synopsis)
+#, no-wrap
+msgid "a.*b"
+msgstr "a.*b"
+
+#: C/genius.xml:1275(para)
+msgid ""
+"Element by element multiplication if <varname>a</varname> and <varname>b</"
+"varname> are matrices."
+msgstr ""
+
+#: C/genius.xml:1284(synopsis)
+#, no-wrap
+msgid "a/b"
+msgstr "a/b"
+
+#: C/genius.xml:1286(para)
+msgid "Division."
+msgstr ""
+
+#: C/genius.xml:1294(synopsis)
+#, no-wrap
+msgid "a./b"
+msgstr "a./b"
+
+#: C/genius.xml:1296(para)
+msgid "Element by element division."
+msgstr ""
+
+#: C/genius.xml:1304(synopsis)
+#, no-wrap
+msgid "a\\b"
+msgstr "a\\b"
+
+#: C/genius.xml:1306(para)
+msgid "Back division. That is this is the same as <userinput>b/a</userinput>."
+msgstr ""
+
+#: C/genius.xml:1314(synopsis)
+#, no-wrap
+msgid "a.\\b"
+msgstr "a.\\b"
+
+#: C/genius.xml:1316(para)
+msgid "Element by element back division."
+msgstr ""
+
+#: C/genius.xml:1324(synopsis)
+#, no-wrap
+msgid "a%b"
+msgstr "a%b"
+
+#: C/genius.xml:1326(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:1336(synopsis)
+#, no-wrap
+msgid "a.%b"
+msgstr "a.%b"
+
+#: C/genius.xml:1338(para)
+msgid ""
+"Element by element the mod operator. Returns the remainder after element by "
+"element integer <userinput>a./b</userinput>."
+msgstr ""
+
+#: C/genius.xml:1347(synopsis)
+#, no-wrap
+msgid "a mod b"
+msgstr "a mod b"
+
+#: C/genius.xml:1349(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:1360(synopsis)
+#, no-wrap
+msgid "a!"
+msgstr "a!"
+
+#: C/genius.xml:1362(para)
+msgid ""
+"Factorial operator. This is like <userinput>1*...*(n-2)*(n-1)*n</userinput>."
+msgstr ""
+
+#: C/genius.xml:1371(synopsis)
+#, no-wrap
+msgid "a!!"
+msgstr "a!!"
+
+#: C/genius.xml:1373(para)
+msgid ""
+"Double factorial operator. This is like <userinput>1*...*(n-4)*(n-2)*n</"
+"userinput>."
+msgstr ""
+
+#: C/genius.xml:1382(synopsis)
+#, no-wrap
+msgid "a==b"
+msgstr "a==b"
+
+#: C/genius.xml:1384(para)
+msgid ""
+"Equality operator (returns <constant>true</constant> or <constant>false</"
+"constant>)."
+msgstr ""
+
+#: C/genius.xml:1393(synopsis)
+#, no-wrap
+msgid "a!=b"
+msgstr "a!=b"
+
+#: C/genius.xml:1395(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:1405(synopsis)
+#, no-wrap
+msgid "a<>b"
+msgstr "a<>b"
+
+#: C/genius.xml:1407(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:1417(synopsis)
+#, no-wrap
+msgid "a<=b"
+msgstr "a<=b"
+
+#: C/genius.xml:1419(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:1430(synopsis)
+#, no-wrap
+msgid "a>=b"
+msgstr "a>=b"
+
+#: C/genius.xml:1432(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:1443(synopsis)
+#, no-wrap
+msgid "a<=>b"
+msgstr "a<=>b"
+
+#: C/genius.xml:1445(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:1457(synopsis)
+#, no-wrap
+msgid "a and b"
+msgstr "a and b"
+
+#: C/genius.xml:1459(para)
+msgid "Logical and."
+msgstr ""
+
+#: C/genius.xml:1467(synopsis)
+#, no-wrap
+msgid "a or b"
+msgstr "a or b"
+
+#: C/genius.xml:1469(para)
+msgid "Logical or."
+msgstr ""
+
+#: C/genius.xml:1477(synopsis)
+#, no-wrap
+msgid "a xor b"
+msgstr "a xor b"
+
+#: C/genius.xml:1479(para)
+msgid "Logical xor."
+msgstr ""
+
+#: C/genius.xml:1487(synopsis)
+#, no-wrap
+msgid "not a"
+msgstr "not a"
+
+#: C/genius.xml:1489(para)
+msgid "Logical not."
+msgstr ""
+
+#: C/genius.xml:1497(synopsis)
+#, no-wrap
+msgid "-a"
+msgstr "-a"
+
+#: C/genius.xml:1499(para)
+msgid "Negation operator."
+msgstr ""
+
+#: C/genius.xml:1507(synopsis)
+#, no-wrap
+msgid "&a"
+msgstr "&a"
+
+#: C/genius.xml:1509(para)
+msgid ""
+"Variable referencing (to pass a reference to something). See <xref linkend="
+"\"genius-gel-references\"/>."
+msgstr ""
+
+#: C/genius.xml:1518(synopsis) C/genius.xml:2080(userinput)
+#, no-wrap
+msgid "*a"
+msgstr "*a"
+
+#: C/genius.xml:1520(para)
+msgid ""
+"Variable dereferencing (to access a referenced varible). See <xref linkend="
+"\"genius-gel-references\"/>."
+msgstr ""
+
+#: C/genius.xml:1529(synopsis)
+#, no-wrap
+msgid "a'"
+msgstr "a'"
+
+#: C/genius.xml:1531(para)
+msgid "Matrix conjugate transpose."
+msgstr ""
+
+#: C/genius.xml:1539(synopsis)
+#, no-wrap
+msgid "a.'"
+msgstr "a.'"
+
+#: C/genius.xml:1541(para)
+msgid "Matrix transpose, does not conjugate the entries."
+msgstr ""
+
+#: C/genius.xml:1549(synopsis)
+#, no-wrap
+msgid "a@(b,c)"
+msgstr "a@(b,c)"
+
+#: C/genius.xml:1551(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:1562(synopsis)
+#, no-wrap
+msgid "a@(b,)"
+msgstr "a@(b,)"
+
+#: C/genius.xml:1564(para)
+msgid "Get row of a matrix (or rows if <varname>b</varname> is a vector)."
+msgstr ""
+
+#: C/genius.xml:1572(synopsis)
+#, no-wrap
+msgid "a@(b,:)"
+msgstr "a@(b,:)"
+
+#: C/genius.xml:1574(para) C/genius.xml:1595(para)
+msgid "Same as above."
+msgstr ""
+
+#: C/genius.xml:1582(synopsis)
+#, no-wrap
+msgid "a@(,c)"
+msgstr "a@(,c)"
+
+#: C/genius.xml:1584(para)
+msgid ""
+"Get column of a matrix (or columns if <varname>c</varname> is a vector)."
+msgstr ""
+
+#: C/genius.xml:1593(synopsis)
+#, no-wrap
+msgid "a@(:,c)"
+msgstr "a@(:,c)"
+
+#: C/genius.xml:1603(synopsis)
+#, no-wrap
+msgid "a@(b)"
+msgstr "a@(b)"
+
+#: C/genius.xml:1605(para)
+msgid ""
+"Get an element from a matrix treating it as a vector. This will traverse the "
+"matrix row-wise."
+msgstr ""
+
+#: C/genius.xml:1614(synopsis)
+#, no-wrap
+msgid "a:b"
+msgstr "a:b"
+
+#: C/genius.xml:1618(programlisting)
+#, no-wrap
+msgid ""
+"A@(2:4,)\n"
+"\t "
+msgstr ""
+"A@(2:4,)\n"
+"\t "
+
+#: C/genius.xml:1616(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 matrix <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:1628(synopsis)
+#, no-wrap
+msgid "a:b:c"
+msgstr "a:b:c"
+
+#: C/genius.xml:1633(programlisting)
+#, no-wrap
+msgid ""
+"genius> 1:2:9\n"
+"=\n"
+"`[1, 3, 5, 7, 9]\n"
+msgstr ""
+"genius> 1:2:9\n"
+"=\n"
+"`[1, 3, 5, 7, 9]\n"
+
+#: C/genius.xml:1630(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:1643(synopsis)
+#, no-wrap
+msgid "(a)i"
+msgstr "(a)i"
+
+#: C/genius.xml:1649(programlisting)
+#, no-wrap
+msgid ""
+"(a)*1i\n"
+"\t "
+msgstr ""
+"(a)*1i\n"
+"\t "
+
+#: C/genius.xml:1645(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:1657(synopsis)
+#, no-wrap
+msgid "`a"
+msgstr "`a"
+
+#: C/genius.xml:1659(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:1670(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:1676(para)
+msgid ""
+"The comparison operators (except for the <=> operator which behaves "
+"normally), are not strictly binary operators, they can in fact be grouped in "
+"the normal mathematical way, e.g.: (1<x<=y<5) is a legal boolean "
+"expression and means just what it should, that is (1<x and x≤y and "
+"y<5)"
+msgstr ""
+
+#: C/genius.xml:1682(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:1697(title)
+msgid "Programming with GEL"
+msgstr ""
+
+#: C/genius.xml:1700(title)
+msgid "Conditionals"
+msgstr ""
+
+#: C/genius.xml:1701(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:1715(programlisting)
+#, no-wrap
+msgid "if a=5 then a=a-1\n"
+msgstr "if a=5 then a=a-1\n"
+
+#: C/genius.xml:1718(programlisting)
+#, no-wrap
+msgid "if a==5 then a:=a-1\n"
+msgstr "if a==5 then a:=a-1\n"
+
+#: C/genius.xml:1707(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:1724(title)
+msgid "Loops"
+msgstr ""
+
+#: C/genius.xml:1727(title)
+msgid "While Loops"
+msgstr ""
+
+#: C/genius.xml:1728(para)
+msgid ""
+"Syntax: <placeholder-1/> These are similar to other languages. However, as "
+"in gel it is simply an expression that must have some return value, these "
+"constructs will simply 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:1741(title)
+msgid "For Loops"
+msgstr ""
+
+#: C/genius.xml:1748(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:1742(para)
+msgid ""
+"Syntax: <placeholder-1/> Loop with identifier being set to all values from "
+"<literal><from></literal> to <literal><to></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><from></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><from></literal>, "
+"<literal><to></literal> and <literal><increment></literal> must "
+"be non complex values. The <literal><to></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:1754(title)
+msgid "Foreach Loops"
+msgstr ""
+
+#: C/genius.xml:1762(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:1767(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:1755(para)
+msgid ""
+"Syntax: <placeholder-1/> For each element in the matrix, going row by row "
+"from left to right we execute the body with the identifier set to the "
+"current element. 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:1774(title)
+msgid "Break and Continue"
+msgstr ""
+
+#: C/genius.xml:1775(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:1788(title)
+msgid "Sums and Products"
+msgstr ""
+
+#: C/genius.xml:1789(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:1800(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:1806(title)
+msgid "Comparison Operators"
+msgstr ""
+
+#: C/genius.xml:1807(para)
+msgid ""
+"The following standard comparison operators are supported in GEL and have "
+"the obvious meaning: <literal>==</literal>, <literal>>=</literal>, "
+"<literal><=</literal>, <literal>!=</literal>, <literal><></"
+"literal>, <literal><</literal>, <literal>></literal>. They return "
+"<constant>true</constant> or <constant>false</constant>. The operators "
+"<literal>!=</literal> and <literal><></literal> are the same thing and "
+"mean \"is not equal to\". GEL also supports the operator <literal><=></"
+"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:1826(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:1822(para)
+msgid ""
+"Normally <literal>=</literal> is translated to <literal>==</literal> if it "
+"happens to be somewhere where GEL is expecting 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:1835(para)
+msgid ""
+"All the comparison operators (except for the <literal><=></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<"
+"x<=y<5</literal>) is a legal boolean expression and means just what it "
+"should, that is (1<x and x≤y and y<5)"
+msgstr ""
+
+#: C/genius.xml:1844(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 arguments 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:1855(title)
+msgid "Global Variables and Scope of Variables"
+msgstr ""
+
+#: C/genius.xml:1856(para)
+msgid ""
+"GEL is a <ulink url=\"http://en.wikipedia.org/wiki/Scope_%28programming%29";
+"\"> dynamically scoped language</ulink>. We will explain what this means "
+"below. That is, normal variables and functions are dynamically scoped. The "
+"exception are <link linkend=\"genius-gel-parameters\">parameter variables</"
+"link>, which are always global."
+msgstr ""
+
+#: C/genius.xml:1879(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:1865(para)
+msgid ""
+"Like most programming languages, GEL has different types of variables. "
+"Normally when a variable is defined in a function, it is visible from that "
+"function and from all functions that are called (all higher contexts). For "
+"example, suppose a function <function>f</function> defines a variable "
+"<varname>a</varname> and then calls function <function>g</function>. Then "
+"function <function>g</function> can reference <varname>a</varname>. But once "
+"<function>f</function> returns, the variable <varname>a</varname> goes out "
+"of scope. For example, the following code will print out 5. The function "
+"<function>g</function> cannot be called on the top level (outside "
+"<function>f</function> as <varname>a</varname> will not be defined). "
+"<placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:1888(programlisting)
+#, no-wrap
+msgid ""
+"function f() = (a:=5; g());\n"
+"function g() = print(a);\n"
+"a:=10;\n"
+"f();\n"
+msgstr ""
+"function f() = (a:=5; g());\n"
+"function g() = print(a);\n"
+"a:=10;\n"
+"f();\n"
+
+#: C/genius.xml:1884(para)
+msgid ""
+"If you define a variable inside a function it will override any variables "
+"defined in calling functions. For example, we modify the above code and "
+"write: <placeholder-1/> This code will still print out 5. But if you call "
+"<function>g</function> outside of <function>f</function> then you will get a "
+"printout of 10. Note that setting <varname>a</varname> to 5 inside "
+"<function>f</function> does not change the value of <varname>a</varname> at "
+"the top (global) level, so if you now check the value of <varname>a</"
+"varname> it will still be 10."
+msgstr ""
+
+#: C/genius.xml:1902(para)
+msgid ""
+"Function arguments are exactly like variables defined inside the function, "
+"except that they are initialized with the value that was passed to the "
+"function. Other than this point, they are treated just like all other "
+"variables defined inside the function."
+msgstr ""
+
+#: C/genius.xml:1909(para)
+msgid ""
+"Functions are treated exactly like variables. Hence you can locally redefine "
+"functions. Normally (on the top level) you cannot redefine protected "
+"variables and functions. But locally you can do this. Consider the following "
+"session: <screen><prompt>genius> </prompt><userinput>function f(x) = sin"
+"(x)^2</userinput>\n"
+"= (`(x)=(sin(x)^2))\n"
+"<prompt>genius> </prompt><userinput>function f(x) = sin(x)^2</userinput>\n"
+"= (`(x)=(sin(x)^2))\n"
+"<prompt>genius> </prompt><userinput>function g(x) = ((function sin(x)"
+"=x^10);f(x))</userinput>\n"
+"= (`(x)=((sin:=(`(x)=(x^10)));f(x)))\n"
+"<prompt>genius> </prompt><userinput>g(10)</userinput>\n"
+"= 1e20\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:1929(programlisting)
+#, no-wrap
+msgid ""
+"a=6;\n"
+"function f() = (a:=5);\n"
+"f();\n"
+msgstr ""
+"a=6;\n"
+"function f() = (a:=5);\n"
+"f();\n"
+
+#: C/genius.xml:1940(programlisting)
+#, no-wrap
+msgid "set(`a,3)\n"
+msgstr "set(`a,3)\n"
+
+#: C/genius.xml:1943(programlisting)
+#, no-wrap
+msgid "set(\"a\",3)\n"
+msgstr "set(\"a\",3)\n"
+
+#: C/genius.xml:1924(para)
+msgid ""
+"Functions and variables defined at the top level are considered global. They "
+"are visible from anywhere. As we said the following function <function>f</"
+"function> will not change the value of <varname>a</varname> to 5. "
+"<placeholder-1/> Sometimes, however, it is necessary to set a global "
+"variable from inside a function. When this behaviour is needed, use the "
+"<function>set</function> function. Passing a string or a quoted identifier "
+"to this function sets the variable globally (on the top level). For example, "
+"to set <varname>a</varname> to the value 3 you could call: <placeholder-2/> "
+"or: <placeholder-3/>"
+msgstr ""
+
+#: C/genius.xml:1946(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. If "
+"this is required, must use passing by reference."
+msgstr ""
+
+#: C/genius.xml:1952(para)
+msgid ""
+"So to recap in a more technical language: Genius operates with different "
+"numbered contexts. The top level is the context 0 (zero). Whenever a "
+"function is entered, the context is raised, and when the function returns "
+"the context is lowered. A function or a variable is always visible from all "
+"higher numbered contexts. When a variable was defined in a lower numbered "
+"context, then setting this variable has the effect of creating a new local "
+"variable in the current context number and this variable will now be visible "
+"from all higher numbered contexts."
+msgstr ""
+
+#: C/genius.xml:1963(para)
+msgid ""
+"There are also true local variables, which are not seen from anywhere but "
+"the current context. Also when returning functions by value it may reference "
+"variables not visible from higher context and this may be a problem. See the "
+"sections <link linkend=\"genius-gel-true-local-variables\">True Local "
+"Variables</link> and <link linkend=\"genius-gel-returning-functions"
+"\">Returning Functions</link>."
+msgstr ""
+
+#: C/genius.xml:1976(title)
+msgid "Parameter variables"
+msgstr ""
+
+#: C/genius.xml:1977(para)
+msgid ""
+"As we said before, there exist special variables called parameters that "
+"exist in all scopes. To declare a parameter called <varname>foo</varname> "
+"with the initial value 1, we write <placeholder-1/> From then on, "
+"<varname>foo</varname> is a strictly global variable. Setting <varname>foo</"
+"varname> inside any function will modify the variable in all contexts, that "
+"is, functions do not have a private copy of parameters."
+msgstr ""
+
+#: C/genius.xml:1988(para)
+msgid ""
+"When you undefine a parameter using the <link linkend=\"gel-function-undefine"
+"\"><function>undefine</function></link> function, it stops being a parameter."
+msgstr ""
+
+#: C/genius.xml:1994(para)
+msgid "Some parameters are built-in and modify the behaviour of genius."
+msgstr ""
+
+#: C/genius.xml:2000(title)
+msgid "Returning"
+msgstr ""
+
+#: C/genius.xml:2001(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:2023(title)
+msgid "References"
+msgstr ""
+
+#: C/genius.xml:2024(para)
+msgid ""
+"It may be necessary 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:2032(para)
+msgid ""
+"When using functions that 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:2042(para)
+msgid ""
+"The details of how references work and the syntax is similar to the C "
+"language. The operator <literal>&</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:2049(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:2065(title)
+msgid "Lvalues"
+msgstr ""
+
+#: C/genius.xml:2071(userinput)
+#, no-wrap
+msgid "a"
+msgstr "a"
+
+#: C/genius.xml:2073(para)
+msgid ""
+"Identifier. Here we would be setting the variable of name <varname>a</"
+"varname>."
+msgstr ""
+
+#: C/genius.xml:2082(para)
+msgid ""
+"Dereference of an identifier. This will set whatever variable <varname>a</"
+"varname> points to."
+msgstr ""
+
+#: C/genius.xml:2089(userinput)
+#, no-wrap
+msgid "a@(<region>)"
+msgstr "a@(<region>)"
+
+#: C/genius.xml:2091(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:2066(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:2102(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:2100(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:2118(title)
+msgid "Advanced Programming with GEL"
+msgstr ""
+
+#: C/genius.xml:2121(title)
+msgid "Error Handling"
+msgstr ""
+
+#: C/genius.xml:2122(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:2132(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 ""
+
+#: C/genius.xml:2129(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:2144(title)
+msgid "Toplevel Syntax"
+msgstr ""
+
+#: C/genius.xml:2145(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 parentheses)."
+msgstr ""
+
+#: C/genius.xml:2158(programlisting)
+#, no-wrap
+msgid ""
+"if Something() then\n"
+" DoSomething()\n"
+"else\n"
+" DoSomethingElse()\n"
+msgstr ""
+
+#: C/genius.xml:2155(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:2172(programlisting)
+#, no-wrap
+msgid ""
+"if Something() then (\n"
+" DoSomething()\n"
+") else (\n"
+" DoSomethingElse()\n"
+")\n"
+msgstr ""
+
+#: C/genius.xml:2164(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 parentheses "
+"are closed. <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:2182(title)
+msgid "Returning Functions"
+msgstr ""
+
+#: C/genius.xml:2195(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:2202(programlisting)
+#, no-wrap
+msgid ""
+"g = f();\n"
+"g(5)\n"
+msgstr ""
+"g = f();\n"
+"g(5)\n"
+
+#: C/genius.xml:2183(para)
+msgid ""
+"It is possible to return functions as value. This way you can build "
+"functions that 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 that went out of scope 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 that returns a function that 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:2211(programlisting)
+#, no-wrap
+msgid ""
+"function f() = (\n"
+" k := 5;\n"
+" function r(x) = (x+k);\n"
+" k := 10;\n"
+" r\n"
+")\n"
+msgstr ""
+"function f() = (\n"
+" k := 5;\n"
+" function r(x) = (x+k);\n"
+" k := 10;\n"
+" r\n"
+")\n"
+
+#: C/genius.xml:2207(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. 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. The only difference is with global variables and functions. "
+"All identifiers that referenced global variables at time of the function "
+"definition are not added to the private dictionary. This is to avoid much "
+"unnecessary work when returning functions and would rarely be a problem. For "
+"example, suppose that you delete the \"k=5\" from the function <function>f</"
+"function>, and at the top level you define <varname>k</varname> to be say 5. "
+"Then when you run <function>f</function>, the function <function>r</"
+"function> will not put <varname>k</varname> into the private dictionary "
+"because it was global (toplevel) at the time of definition of <function>r</"
+"function>."
+msgstr ""
+
+#: C/genius.xml:2253(programlisting)
+#, no-wrap
+msgid ""
+"function f() = (\n"
+" k := 5;\n"
+" function r(x) [k] = (x+k);\n"
+" k := 10;\n"
+" r\n"
+")\n"
+msgstr ""
+"function f() = (\n"
+" k := 5;\n"
+" function r(x) [k] = (x+k);\n"
+" k := 10;\n"
+" r\n"
+")\n"
+
+#: C/genius.xml:2242(para)
+msgid ""
+"Sometimes it is better to have more control over how variables are copied "
+"into the private dictionary. Since version 1.0.7, you can specify which "
+"variables are copied into the private dictionary by putting extra square "
+"brackets after the arguments with the list of variables to be copied "
+"separated by commas. If you do this, then variables are copied into the "
+"private dictionary at time of the function definition, and the private "
+"dictionary is not touched afterwards. For example <placeholder-1/> will "
+"return a function that when called will add 5 to its argument. The local "
+"copy of <varname>k</varname> was created when the function was defined."
+msgstr ""
+
+#: C/genius.xml:2275(programlisting)
+#, no-wrap
+msgid ""
+"function f() = (\n"
+" k := 5;\n"
+" function r(x) [] = (x+k);\n"
+" r\n"
+");\n"
+"k := 10;\n"
+"g = f();\n"
+"g(10)\n"
+msgstr ""
+"function f() = (\n"
+" k := 5;\n"
+" function r(x) [] = (x+k);\n"
+" r\n"
+");\n"
+"k := 10;\n"
+"g = f();\n"
+"g(10)\n"
+
+#: C/genius.xml:2264(para)
+msgid ""
+"When you want the function to not have any private dictionary when put empty "
+"square brackets after the argument list. Then no private dictionary will be "
+"created at all. Doing this is good to increase efficiency when a private "
+"dictionary is not needed or when you want the function to lookup all "
+"variables as it sees them when called. For example suppose you want the "
+"function returned from <function>f</function> to see the value of "
+"<varname>k</varname> from the toplevel despite there being a local variable "
+"of the same name during definition. So the code <placeholder-1/> will return "
+"20 and not 15, which would happen if <varname>k</varname> with a value of 5 "
+"was added to the private dictionary."
+msgstr ""
+
+#: C/genius.xml:2291(title)
+msgid "True Local Variables"
+msgstr ""
+
+#: C/genius.xml:2295(programlisting)
+#, no-wrap
+msgid ""
+"k := 10;\n"
+"function r(x) = (x+k);\n"
+"function f(g,x) = (\n"
+" k := 5;\n"
+" g(x)\n"
+");\n"
+"f(r,1)\n"
+msgstr ""
+"k := 10;\n"
+"function r(x) = (x+k);\n"
+"function f(g,x) = (\n"
+" k := 5;\n"
+" g(x)\n"
+");\n"
+"f(r,1)\n"
+
+#: C/genius.xml:2292(para)
+msgid ""
+"When passing functions into other functions, the normal scoping of variables "
+"might be undesired. For example: <placeholder-1/> you probably want the "
+"function <function>r</function> when passed as <function>g</function> into "
+"<function>f</function> to see <varname>k</varname> as 10 rather than 5, so "
+"that the code returns 11 and not 6. However, as written, the function when "
+"executed will see the <varname>k</varname> that is equal to 5. There are two "
+"ways to solve this. One would be to have <function>r</function> get "
+"<varname>k</varname> in a private dictionary using the square bracket "
+"notation section <link linkend=\"genius-gel-returning-functions\">Returning "
+"Functions</link>."
+msgstr ""
+
+#: C/genius.xml:2324(programlisting)
+#, no-wrap
+msgid ""
+"function f(g,x) = (\n"
+" local g,x,k;\n"
+" k := 5;\n"
+" g(x)\n"
+");\n"
+msgstr ""
+"function f(g,x) = (\n"
+" local g,x,k;\n"
+" k := 5;\n"
+" g(x)\n"
+");\n"
+
+#: C/genius.xml:2314(para)
+msgid ""
+"But there is another solution. Since version 1.0.7 there are true local "
+"variables. These are variables that are visible only from the current "
+"context and not from any called functions. We could define <varname>k</"
+"varname> as a local variable in the function <function>f</function>. To do "
+"this add a <command>local</command> statement as the first statement in the "
+"function (it must always be the first statement in the function). You can "
+"also make any arguments be local variables as well. That is, <placeholder-1/"
+"> Then the code will work as expected and prints out 11. Note that the "
+"<command>local</command> statement initializes all the refereced variables "
+"(except for function arguments) to a <constant>null</constant>."
+msgstr ""
+
+#: C/genius.xml:2341(programlisting)
+#, no-wrap
+msgid ""
+"function f(g,x) = (\n"
+" local *;\n"
+" k := 5;\n"
+" g(x)\n"
+");\n"
+msgstr ""
+"function f(g,x) = (\n"
+" local *;\n"
+" k := 5;\n"
+" g(x)\n"
+");\n"
+
+#: C/genius.xml:2335(para)
+msgid ""
+"If all variables are to be created as locals you can just pass an asterix "
+"instead of a list of variables. In this case the variables will not be "
+"initialized until they are actually set of course. So the following "
+"definition of <function>f</function> will also work: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:2348(para)
+msgid ""
+"It is good practice that all functions that take other functions as "
+"arguments use local variables. This way the passed function does not see "
+"implementation details and get confused."
+msgstr ""
+
+#: C/genius.xml:2356(title)
+msgid "GEL Startup Procedure"
+msgstr ""
+
+#: C/genius.xml:2357(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:2361(para)
+msgid ""
+"If you ever change the the library its installed place, you’ll have to "
+"first compile it with <command>genius --compile loader.gel > lib.cgel</"
+"command>"
+msgstr ""
+
+#: C/genius.xml:2368(title)
+msgid "Loading Programs"
+msgstr ""
+
+#: C/genius.xml:2371(programlisting)
+#, no-wrap
+msgid ""
+"load program1.gel program2.gel\n"
+"load \"Weird File Name With SPACES.gel\"\n"
+msgstr ""
+
+#: C/genius.xml:2375(programlisting)
+#, no-wrap
+msgid ""
+"cd directory_with_gel_programs\n"
+"ls *.gel\n"
+msgstr ""
+
+#: C/genius.xml:2369(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 <list of filenames></"
+"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 that 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:2385(title)
+msgid "Matrices in GEL"
+msgstr ""
+
+#: C/genius.xml:2387(para)
+msgid ""
+"Genius has support for vectors and matrices and a sizable library of matrix "
+"manipulation and linear algebra functions."
+msgstr ""
+
+#: C/genius.xml:2393(title)
+msgid "Entering Matrices"
+msgstr ""
+
+#: C/genius.xml:2402(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:2405(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:2394(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:2415(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:2422(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:2412(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:2432(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:2437(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:2430(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:2444(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:2450(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:2460(title)
+msgid "Conjugate Transpose and Transpose Operator"
+msgstr ""
+
+#: C/genius.xml:2468(programlisting)
+#, no-wrap
+msgid "[1,2,3]*[4,5,6]'\n"
+msgstr "[1,2,3]*[4,5,6]'\n"
+
+#: C/genius.xml:2473(programlisting)
+#, no-wrap
+msgid "[1,2,3]*[4,5,6i].'\n"
+msgstr "[1,2,3]*[4,5,6i].'\n"
+
+#: C/genius.xml:2461(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:2476(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:2486(title) C/genius.xml:2795(title)
+msgid "Linear Algebra"
+msgstr ""
+
+#: C/genius.xml:2487(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:2494(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:2502(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:2510(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:2517(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 that 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:2530(title)
+msgid "Polynomials in GEL"
+msgstr ""
+
+#: C/genius.xml:2532(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:2539(title)
+msgid "Using Polynomials"
+msgstr ""
+
+#: C/genius.xml:2545(programlisting)
+#, no-wrap
+msgid "[1,2,3]\n"
+msgstr "[1,2,3]\n"
+
+#: C/genius.xml:2548(programlisting)
+#, no-wrap
+msgid "1 + 2*x + 3*x^2\n"
+msgstr "1 + 2*x + 3*x^2\n"
+
+#: C/genius.xml:2540(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:2560(programlisting)
+#, no-wrap
+msgid "PolyToString([1,2,3],\"y\")\n"
+msgstr "PolyToString([1,2,3],\"y\")\n"
+
+#: C/genius.xml:2563(programlisting)
+#, no-wrap
+msgid "3*y^2 + 2*y + 1\n"
+msgstr "3*y^2 + 2*y + 1\n"
+
+#: C/genius.xml:2570(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:2551(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. <placeholder-3/>"
+msgstr ""
+
+#: C/genius.xml:2574(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:2586(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:2596(title)
+msgid "Set Theory in GEL"
+msgstr ""
+
+#: C/genius.xml:2598(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:2604(title)
+msgid "Using Sets"
+msgstr ""
+
+#: C/genius.xml:2605(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:2613(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> </prompt><userinput>MakeSet([1,2,2,3])</"
+"userinput>\n"
+"= [1, 2, 3]\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:2622(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> </"
+"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:2636(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> </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:2655(title)
+msgid "List of GEL functions"
+msgstr ""
+
+#: C/genius.xml:4(programlisting)
+#, no-wrap
+msgid "help FunctionName\n"
+msgstr ""
+
+#: C/genius.xml:2(para)
+msgid ""
+"To get help on a specific function from the console type: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:9(title)
+msgid "Commands"
+msgstr ""
+
+#: C/genius.xml:12(term) C/genius.xml:14(synopsis)
+msgid "help"
+msgstr ""
+
+#: C/genius.xml:15(synopsis)
+#, no-wrap
+msgid "help FunctionName"
+msgstr ""
+
+#: C/genius.xml:16(para)
+msgid "Print help (or help on a function/command)."
+msgstr ""
+
+#: C/genius.xml:21(term)
+msgid "load"
+msgstr ""
+
+#: C/genius.xml:23(synopsis)
+#, no-wrap
+msgid "load \"file.gel\""
+msgstr ""
+
+#: 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 ""
+
+#: C/genius.xml:30(term)
+msgid "cd"
+msgstr "cd"
+
+#: C/genius.xml:32(synopsis)
+#, no-wrap
+msgid "cd /directory/name"
+msgstr ""
+
+#: C/genius.xml:33(para)
+msgid "Change working directory to <filename>/directory/name</filename>."
+msgstr ""
+
+#: 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 ""
+
+#: C/genius.xml:54(term)
+msgid "plugin"
+msgstr ""
+
+#: C/genius.xml:56(synopsis)
+#, no-wrap
+msgid "plugin plugin_name"
+msgstr ""
+
+#: C/genius.xml:57(para)
+msgid ""
+"Load a plugin. Plugin of that name must be installed on the system in the "
+"proper directory."
+msgstr ""
+
+#: C/genius.xml:65(title)
+msgid "Basic"
+msgstr ""
+
+#: C/genius.xml:68(term)
+msgid "AskButtons"
+msgstr "AskButtons"
+
+#: C/genius.xml:70(synopsis)
+#, no-wrap
+msgid "AskButtons (query)"
+msgstr ""
+
+#: C/genius.xml:71(synopsis)
+#, no-wrap
+msgid "AskButtons (query, button1, ...)"
+msgstr ""
+
+#: C/genius.xml:72(para)
+msgid ""
+"Asks a question and presents a list of buttons to the user (or a menu of "
+"options in text mode). Returns the 1-based index of the button pressed. That "
+"is, returns 1 if the first button was pressed, 2 if the second button was "
+"pressed, and so on. If the user closes the window (or simply hits enter in "
+"text mode), then <constant>null</constant> is returned. The execution of the "
+"program is blocked until the user responds."
+msgstr ""
+
+#: C/genius.xml:82(term)
+msgid "AskString"
+msgstr "AskString"
+
+#: C/genius.xml:84(synopsis)
+#, no-wrap
+msgid "AskString (query)"
+msgstr ""
+
+#: C/genius.xml:85(synopsis)
+#, no-wrap
+msgid "AskString (query, default)"
+msgstr ""
+
+#: C/genius.xml:86(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:94(term)
+msgid "Compose"
+msgstr "Compose"
+
+#: C/genius.xml:96(synopsis)
+#, no-wrap
+msgid "Compose (f,g)"
+msgstr "Compose (f,g)"
+
+#: C/genius.xml:97(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:102(term)
+msgid "ComposePower"
+msgstr "ComposePower"
+
+#: C/genius.xml:104(synopsis)
+#, no-wrap
+msgid "ComposePower (f,n,x)"
+msgstr "ComposePower (f,n,x)"
+
+#: C/genius.xml:105(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></prompt> "
+"<userinput>function f(x) = x^2 ;</userinput>\n"
+"<prompt>genius></prompt> <userinput>ComposePower (f,3,7)</userinput>\n"
+"= 5764801\n"
+"<prompt>genius></prompt> <userinput>f(f(f(7)))</userinput>\n"
+"= 5764801\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:119(term)
+msgid "Evaluate"
+msgstr "Evaluate"
+
+#: C/genius.xml:121(synopsis)
+#, no-wrap
+msgid "Evaluate (str)"
+msgstr ""
+
+#: C/genius.xml:122(para)
+msgid "Parses and evaluates a string."
+msgstr ""
+
+#: C/genius.xml:128(term) C/genius.xml:130(synopsis)
+msgid "GetCurrentModulo"
+msgstr ""
+
+#: C/genius.xml:131(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:139(term)
+msgid "Identity"
+msgstr "Identity"
+
+#: C/genius.xml:141(synopsis)
+#, no-wrap
+msgid "Identity (x)"
+msgstr "Identity (x)"
+
+#: C/genius.xml:142(para)
+msgid "Identity function, returns its argument."
+msgstr ""
+
+#: C/genius.xml:147(term)
+msgid "IntegerFromBoolean"
+msgstr "IntegerFromBoolean"
+
+#: C/genius.xml:149(synopsis)
+#, no-wrap
+msgid "IntegerFromBoolean (bval)"
+msgstr "IntegerFromBoolean (bval)"
+
+#: C/genius.xml:150(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 interpreted as <constant>false</constant>."
+msgstr ""
+
+#: C/genius.xml:161(term)
+msgid "IsBoolean"
+msgstr "IsBoolean"
+
+#: C/genius.xml:163(synopsis)
+#, no-wrap
+msgid "IsBoolean (arg)"
+msgstr "IsBoolean (arg)"
+
+#: C/genius.xml:164(para)
+msgid "Check if argument is a boolean (and not a number)."
+msgstr ""
+
+#: C/genius.xml:169(term)
+msgid "IsDefined"
+msgstr "IsDefined"
+
+#: C/genius.xml:171(synopsis)
+#, no-wrap
+msgid "IsDefined (id)"
+msgstr "IsDefined (id)"
+
+#: C/genius.xml:172(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:180(term)
+msgid "IsFunction"
+msgstr "IsFunction"
+
+#: C/genius.xml:182(synopsis)
+#, no-wrap
+msgid "IsFunction (arg)"
+msgstr "IsFunction (arg)"
+
+#: C/genius.xml:183(para)
+msgid "Check if argument is a function."
+msgstr ""
+
+#: C/genius.xml:188(term)
+msgid "IsFunctionOrIdentifier"
+msgstr "IsFunctionOrIdentifier"
+
+#: C/genius.xml:190(synopsis)
+#, no-wrap
+msgid "IsFunctionOrIdentifier (arg)"
+msgstr "IsFunctionOrIdentifier (arg)"
+
+#: C/genius.xml:191(para)
+msgid "Check if argument is a function or an identifier."
+msgstr ""
+
+#: C/genius.xml:196(term)
+msgid "IsFunctionRef"
+msgstr "IsFunctionRef"
+
+#: C/genius.xml:198(synopsis)
+#, no-wrap
+msgid "IsFunctionRef (arg)"
+msgstr "IsFunctionRef (arg)"
+
+#: C/genius.xml:199(para)
+msgid ""
+"Check if argument is a function reference. This includes variable references."
+msgstr ""
+
+#: C/genius.xml:205(term)
+msgid "IsMatrix"
+msgstr "IsMatrix"
+
+#: C/genius.xml:207(synopsis)
+#, no-wrap
+msgid "IsMatrix (arg)"
+msgstr "IsMatrix (arg)"
+
+#: C/genius.xml:208(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:215(term)
+msgid "IsNull"
+msgstr "IsNull"
+
+#: C/genius.xml:217(synopsis)
+#, no-wrap
+msgid "IsNull (arg)"
+msgstr "IsNull (arg)"
+
+#: C/genius.xml:218(para)
+msgid "Check if argument is a null."
+msgstr ""
+
+#: C/genius.xml:223(term)
+msgid "IsString"
+msgstr "IsString"
+
+#: C/genius.xml:225(synopsis)
+#, no-wrap
+msgid "IsString (arg)"
+msgstr "IsString (arg)"
+
+#: C/genius.xml:226(para)
+msgid "Check if argument is a text string."
+msgstr ""
+
+#: C/genius.xml:231(term)
+msgid "IsValue"
+msgstr "IsValue"
+
+#: C/genius.xml:233(synopsis)
+#, no-wrap
+msgid "IsValue (arg)"
+msgstr "IsValue (arg)"
+
+#: C/genius.xml:234(para)
+msgid "Check if argument is a number."
+msgstr ""
+
+#: C/genius.xml:239(term)
+msgid "Parse"
+msgstr "Parse"
+
+#: C/genius.xml:241(synopsis)
+#, no-wrap
+msgid "Parse (str)"
+msgstr ""
+
+#: C/genius.xml:242(para)
+msgid ""
+"Parses but does not evaluate a string. Note that certain pre-computation is "
+"done during the parsing stage."
+msgstr ""
+
+#: C/genius.xml:248(term)
+msgid "SetFunctionFlags"
+msgstr "SetFunctionFlags"
+
+#: C/genius.xml:250(synopsis)
+#, no-wrap
+msgid "SetFunctionFlags (id,flags...)"
+msgstr ""
+
+#: C/genius.xml:251(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:260(term)
+msgid "SetHelp"
+msgstr "SetHelp"
+
+#: C/genius.xml:262(synopsis)
+#, no-wrap
+msgid "SetHelp (id,category,desc)"
+msgstr ""
+
+#: C/genius.xml:263(para)
+msgid "Set the category and help description line for a function."
+msgstr ""
+
+#: C/genius.xml:268(term)
+msgid "SetHelpAlias"
+msgstr "SetHelpAlias"
+
+#: C/genius.xml:270(synopsis)
+#, no-wrap
+msgid "SetHelpAlias (id,alias)"
+msgstr ""
+
+#: C/genius.xml:271(para)
+msgid "Sets up a help alias."
+msgstr ""
+
+#: C/genius.xml:276(term)
+msgid "chdir"
+msgstr "chdir"
+
+#: C/genius.xml:278(synopsis)
+#, no-wrap
+msgid "chdir (dir)"
+msgstr ""
+
+#: C/genius.xml:279(para)
+msgid "Changes current directory, same as the <command>cd</command>."
+msgstr ""
+
+#: C/genius.xml:284(term)
+msgid "display"
+msgstr "display"
+
+#: C/genius.xml:286(synopsis)
+#, no-wrap
+msgid "display (str,expr)"
+msgstr ""
+
+#: C/genius.xml:287(para)
+msgid "Display a string and an expression with a colon to separate them."
+msgstr ""
+
+#: C/genius.xml:292(term)
+msgid "error"
+msgstr "error"
+
+#: C/genius.xml:294(synopsis)
+#, no-wrap
+msgid "error (str)"
+msgstr ""
+
+#: C/genius.xml:295(para)
+msgid "Prints a string to the error stream (onto the console)."
+msgstr ""
+
+#: C/genius.xml:300(term) C/genius.xml:302(synopsis)
+msgid "exit"
+msgstr ""
+
+#: C/genius.xml:303(para)
+msgid "Aliases: <function>quit</function>"
+msgstr ""
+
+#: C/genius.xml:304(para)
+msgid "Exits the program."
+msgstr ""
+
+#: C/genius.xml:309(term) C/genius.xml:311(synopsis)
+msgid "false"
+msgstr ""
+
+#: C/genius.xml:312(para)
+msgid "Aliases: <function>False</function><function>FALSE</function>"
+msgstr ""
+
+#: C/genius.xml:313(para)
+msgid "The false boolean value."
+msgstr ""
+
+#: C/genius.xml:318(term) C/genius.xml:320(synopsis)
+msgid "manual"
+msgstr "manual"
+
+#: C/genius.xml:321(para)
+msgid "Displays the user manual."
+msgstr ""
+
+#: C/genius.xml:326(term)
+msgid "print"
+msgstr "print"
+
+#: C/genius.xml:328(synopsis)
+#, no-wrap
+msgid "print (str)"
+msgstr ""
+
+#: C/genius.xml:329(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:335(term)
+msgid "printn"
+msgstr "printn"
+
+#: C/genius.xml:337(synopsis)
+#, no-wrap
+msgid "printn (str)"
+msgstr ""
+
+#: C/genius.xml:338(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:344(term)
+msgid "protect"
+msgstr "protect"
+
+#: C/genius.xml:346(synopsis)
+#, no-wrap
+msgid "protect (id)"
+msgstr "protect (id)"
+
+#: C/genius.xml:347(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:353(term)
+msgid "ProtectAll"
+msgstr "ProtectAll"
+
+#: C/genius.xml:355(synopsis)
+#, no-wrap
+msgid "ProtectAll ()"
+msgstr "ProtectAll ()"
+
+#: C/genius.xml:356(para)
+msgid ""
+"Protect all currently defined variables, parameters and functions from being "
+"modified. This is used on the internal GEL functions to avoid them being "
+"accidentally overridden. Normally <application>Genius Mathematics Tool</"
+"application> considers unprotected variables as user defined."
+msgstr ""
+
+#: C/genius.xml:364(term)
+msgid "set"
+msgstr "set"
+
+#: C/genius.xml:366(synopsis)
+#, no-wrap
+msgid "set (id,val)"
+msgstr "set (id,val)"
+
+#: C/genius.xml:370(programlisting)
+#, no-wrap
+msgid ""
+"set(`x,1)\n"
+"\t "
+msgstr ""
+"set(`x,1)\n"
+"\t "
+
+#: C/genius.xml:367(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:378(term)
+msgid "string"
+msgstr "string"
+
+#: C/genius.xml:380(synopsis)
+#, no-wrap
+msgid "string (s)"
+msgstr "string (s)"
+
+#: C/genius.xml:381(para)
+msgid "Make a string. This will make a string out of any argument."
+msgstr ""
+
+#: C/genius.xml:386(term) C/genius.xml:388(synopsis)
+msgid "true"
+msgstr ""
+
+#: C/genius.xml:389(para)
+msgid "Aliases: <function>True</function><function>TRUE</function>"
+msgstr ""
+
+#: C/genius.xml:390(para)
+msgid "The true boolean value."
+msgstr ""
+
+#: C/genius.xml:395(term)
+msgid "undefine"
+msgstr "undefine"
+
+#: C/genius.xml:397(synopsis)
+#, no-wrap
+msgid "undefine (id)"
+msgstr "undefine (id)"
+
+#: C/genius.xml:398(para)
+msgid "Alias: <function>Undefine</function>"
+msgstr ""
+
+#: C/genius.xml:399(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. A vector of identifiers can also be passed to undefine several "
+"variables."
+msgstr ""
+
+#: C/genius.xml:408(term)
+msgid "UndefineAll"
+msgstr "UndefineAll"
+
+#: C/genius.xml:410(synopsis)
+#, no-wrap
+msgid "UndefineAll ()"
+msgstr "UndefineAll ()"
+
+#: C/genius.xml:411(para)
+msgid ""
+"Undefine all unprotected global variables (including functions and "
+"parameters). Normally <application>Genius Mathematics Tool</application> "
+"considers protected variables as system defined functions and variables. "
+"Note that <function>UndefineAll</function> only removes the global "
+"definition of symbols not local ones, so that it may be run from inside "
+"other functions safely."
+msgstr ""
+
+#: C/genius.xml:422(term)
+msgid "unprotect"
+msgstr "unprotect"
+
+#: C/genius.xml:424(synopsis)
+#, no-wrap
+msgid "unprotect (id)"
+msgstr "unprotect (id)"
+
+#: C/genius.xml:425(para)
+msgid "Unprotect a variable from being modified."
+msgstr ""
+
+#: C/genius.xml:430(term)
+msgid "UserVariables"
+msgstr "UserVariables"
+
+#: C/genius.xml:432(synopsis)
+#, no-wrap
+msgid "UserVariables ()"
+msgstr "UserVariables ()"
+
+#: C/genius.xml:433(para)
+msgid ""
+"Return a vector of identifiers of user defined (unprotected) global "
+"variables."
+msgstr ""
+
+#: C/genius.xml:439(term)
+msgid "wait"
+msgstr "wait"
+
+#: C/genius.xml:441(synopsis)
+#, no-wrap
+msgid "wait (secs)"
+msgstr "wait (secs)"
+
+#: C/genius.xml:442(para)
+msgid ""
+"Waits a specified number of seconds. <varname>secs</varname> must be non-"
+"negative. Zero is accepted and nothing happens in this case, except possibly "
+"user interface events are processed."
+msgstr ""
+
+#: C/genius.xml:449(term) C/genius.xml:451(synopsis)
+msgid "version"
+msgstr ""
+
+#: C/genius.xml:452(para)
+msgid ""
+"Returns the version of Genius as a horizontal 3-vector with major version "
+"first, then minor version and finally the patch level."
+msgstr ""
+
+#: C/genius.xml:458(term) C/genius.xml:460(synopsis)
+msgid "warranty"
+msgstr ""
+
+#: C/genius.xml:461(para)
+msgid "Gives the warranty information."
+msgstr ""
+
+#: C/genius.xml:469(title)
+msgid "Parameters"
+msgstr ""
+
+#: C/genius.xml:472(term)
+msgid "ChopTolerance"
+msgstr ""
+
+#: C/genius.xml:474(synopsis)
+#, no-wrap
+msgid "ChopTolerance = number"
+msgstr ""
+
+#: C/genius.xml:475(para)
+msgid "Tolerance of the <function>Chop</function> function."
+msgstr ""
+
+#: C/genius.xml:480(term)
+msgid "ContinuousNumberOfTries"
+msgstr ""
+
+#: C/genius.xml:482(synopsis)
+#, no-wrap
+msgid "ContinuousNumberOfTries = number"
+msgstr ""
+
+#: C/genius.xml:483(para)
+msgid "How many iterations to try to find the limit for continuity and limits."
+msgstr ""
+
+#: C/genius.xml:488(term)
+msgid "ContinuousSFS"
+msgstr ""
+
+#: C/genius.xml:490(synopsis)
+#, no-wrap
+msgid "ContinuousSFS = number"
+msgstr ""
+
+#: C/genius.xml:491(para)
+msgid ""
+"How many successive steps to be within tolerance for calculation of "
+"continuity."
+msgstr ""
+
+#: C/genius.xml:496(term)
+msgid "ContinuousTolerance"
+msgstr ""
+
+#: C/genius.xml:498(synopsis)
+#, no-wrap
+msgid "ContinuousTolerance = number"
+msgstr ""
+
+#: C/genius.xml:499(para)
+msgid "Tolerance for continuity of functions and for calculating the limit."
+msgstr ""
+
+#: C/genius.xml:504(term)
+msgid "DerivativeNumberOfTries"
+msgstr ""
+
+#: C/genius.xml:506(synopsis)
+#, no-wrap
+msgid "DerivativeNumberOfTries = number"
+msgstr ""
+
+#: C/genius.xml:507(para)
+msgid "How many iterations to try to find the limit for derivative."
+msgstr ""
+
+#: C/genius.xml:512(term)
+msgid "DerivativeSFS"
+msgstr ""
+
+#: C/genius.xml:514(synopsis)
+#, no-wrap
+msgid "DerivativeSFS = number"
+msgstr ""
+
+#: C/genius.xml:515(para)
+msgid ""
+"How many successive steps to be within tolerance for calculation of "
+"derivative."
+msgstr ""
+
+#: C/genius.xml:520(term)
+msgid "DerivativeTolerance"
+msgstr ""
+
+#: C/genius.xml:522(synopsis)
+#, no-wrap
+msgid "DerivativeTolerance = number"
+msgstr ""
+
+#: C/genius.xml:523(para)
+msgid "Tolerance for calculating the derivatives of functions."
+msgstr ""
+
+#: C/genius.xml:528(term)
+msgid "ErrorFunctionTolerance"
+msgstr ""
+
+#: C/genius.xml:530(synopsis)
+#, no-wrap
+msgid "ErrorFunctionTolerance = number"
+msgstr ""
+
+#: C/genius.xml:531(para)
+msgid "Tolerance of the <function>ErrorFunction</function>."
+msgstr ""
+
+#: C/genius.xml:536(term)
+msgid "FloatPrecision"
+msgstr ""
+
+#: C/genius.xml:538(synopsis)
+#, no-wrap
+msgid "FloatPrecision = number"
+msgstr ""
+
+#: C/genius.xml:539(para)
+msgid "Floating point precision."
+msgstr ""
+
+#: C/genius.xml:544(term)
+msgid "FullExpressions"
+msgstr ""
+
+#: C/genius.xml:546(synopsis)
+#, no-wrap
+msgid "FullExpressions = boolean"
+msgstr ""
+
+#: C/genius.xml:547(para)
+msgid "Print full expressions, even if more than a line."
+msgstr ""
+
+#: C/genius.xml:552(term)
+msgid "GaussDistributionTolerance"
+msgstr ""
+
+#: C/genius.xml:554(synopsis)
+#, no-wrap
+msgid "GaussDistributionTolerance = number"
+msgstr ""
+
+#: C/genius.xml:555(para)
+msgid "Tolerance of the <function>GaussDistribution</function> function."
+msgstr ""
+
+#: C/genius.xml:560(term) C/genius.xml:2909(function)
+msgid "IntegerOutputBase"
+msgstr ""
+
+#: C/genius.xml:562(synopsis)
+#, no-wrap
+msgid "IntegerOutputBase = number"
+msgstr ""
+
+#: C/genius.xml:563(para)
+msgid "Integer output base."
+msgstr ""
+
+#: C/genius.xml:568(term)
+msgid "IsPrimeMillerRabinReps"
+msgstr ""
+
+#: C/genius.xml:570(synopsis)
+#, no-wrap
+msgid "IsPrimeMillerRabinReps = number"
+msgstr ""
+
+#: C/genius.xml:571(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:576(term)
+msgid "LinePlotDrawLegends"
+msgstr ""
+
+#: C/genius.xml:578(synopsis)
+#, no-wrap
+msgid "LinePlotDrawLegends = true"
+msgstr ""
+
+#: C/genius.xml:579(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:586(term)
+msgid "LinePlotVariableNames"
+msgstr ""
+
+#: C/genius.xml:588(synopsis)
+#, no-wrap
+msgid "LinePlotVariableNames = [\"x\",\"y\",\"z\",\"t\"]"
+msgstr ""
+
+#: C/genius.xml:589(para)
+msgid ""
+"Tells genius which variable names are used as default names for <link "
+"linkend=\"genius-gel-function-list-plotting\">line plotting functions</link> "
+"such as <link linkend=\"gel-function-LinePlot\"><function>LinePlot</"
+"function></link> and friends."
+msgstr ""
+
+#: C/genius.xml:596(term)
+msgid "LinePlotWindow"
+msgstr ""
+
+#: C/genius.xml:598(synopsis)
+#, no-wrap
+msgid "LinePlotWindow = [x1,x2,y1,y2]"
+msgstr ""
+
+#: C/genius.xml:599(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:607(term)
+msgid "MaxDigits"
+msgstr ""
+
+#: C/genius.xml:609(synopsis)
+#, no-wrap
+msgid "MaxDigits = number"
+msgstr ""
+
+#: C/genius.xml:610(para)
+msgid "Maximum digits to display."
+msgstr ""
+
+#: C/genius.xml:615(term)
+msgid "MaxErrors"
+msgstr ""
+
+#: C/genius.xml:617(synopsis)
+#, no-wrap
+msgid "MaxErrors = number"
+msgstr ""
+
+#: C/genius.xml:618(para)
+msgid "Maximum errors to display."
+msgstr ""
+
+#: C/genius.xml:623(term)
+msgid "MixedFractions"
+msgstr ""
+
+#: C/genius.xml:625(synopsis)
+#, no-wrap
+msgid "MixedFractions = boolean"
+msgstr ""
+
+#: C/genius.xml:626(para)
+msgid "If true, mixed fractions are printed."
+msgstr ""
+
+#: C/genius.xml:631(term)
+msgid "NumericalIntegralFunction"
+msgstr ""
+
+#: C/genius.xml:633(synopsis)
+#, no-wrap
+msgid "NumericalIntegralFunction = function"
+msgstr ""
+
+#: C/genius.xml:634(para)
+msgid ""
+"The function used for numerical integration in <function>NumericalIntegral</"
+"function>."
+msgstr ""
+
+#: C/genius.xml:639(term)
+msgid "NumericalIntegralSteps"
+msgstr ""
+
+#: C/genius.xml:641(synopsis)
+#, no-wrap
+msgid "NumericalIntegralSteps = number"
+msgstr ""
+
+#: C/genius.xml:642(para)
+msgid "Steps to perform in <function>NumericalIntegral</function>."
+msgstr ""
+
+#: C/genius.xml:647(term)
+msgid "OutputChopExponent"
+msgstr ""
+
+#: C/genius.xml:649(synopsis)
+#, no-wrap
+msgid "OutputChopExponent = number"
+msgstr ""
+
+#: C/genius.xml:650(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:657(para)
+msgid ""
+"Output is never chopped if <function>OutputChopExponent</function> is zero. "
+"It must be a non-negative integer."
+msgstr ""
+
+#: C/genius.xml:661(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:672(term)
+msgid "OutputChopWhenExponent"
+msgstr ""
+
+#: C/genius.xml:674(synopsis)
+#, no-wrap
+msgid "OutputChopWhenExponent = number"
+msgstr ""
+
+#: C/genius.xml:675(para)
+msgid ""
+"When to chop output. See <link linkend=\"gel-function-OutputChopExponent"
+"\"><function>OutputChopExponent</function></link>."
+msgstr ""
+
+#: C/genius.xml:682(term) C/genius.xml:2918(function)
+msgid "OutputStyle"
+msgstr ""
+
+#: C/genius.xml:684(synopsis)
+#, no-wrap
+msgid "OutputStyle = string"
+msgstr ""
+
+#: C/genius.xml:685(para)
+msgid ""
+"Output style, this can be <literal>normal</literal>, <literal>latex</"
+"literal>, <literal>mathml</literal> or <literal>troff</literal>."
+msgstr ""
+
+#: C/genius.xml:692(programlisting)
+#, no-wrap
+msgid "OutputStyle = \"latex\"\n"
+msgstr ""
+
+#: C/genius.xml:688(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:699(term)
+msgid "ResultsAsFloats"
+msgstr ""
+
+#: C/genius.xml:701(synopsis)
+#, no-wrap
+msgid "ResultsAsFloats = boolean"
+msgstr ""
+
+#: C/genius.xml:702(para)
+msgid "Convert all results to floats before printing."
+msgstr ""
+
+#: C/genius.xml:707(term)
+msgid "ScientificNotation"
+msgstr ""
+
+#: C/genius.xml:709(synopsis)
+#, no-wrap
+msgid "ScientificNotation = boolean"
+msgstr ""
+
+#: C/genius.xml:710(para)
+msgid "Use scientific notation."
+msgstr ""
+
+#: C/genius.xml:715(term)
+msgid "SlopefieldTicks"
+msgstr ""
+
+#: C/genius.xml:717(synopsis)
+#, no-wrap
+msgid "SlopefieldTicks = [vertical,horizontal]"
+msgstr ""
+
+#: C/genius.xml:718(para)
+msgid ""
+"Sets the number of vertical and horizontal ticks in a slopefield plot. (See "
+"<link linkend=\"gel-function-SlopefieldPlot\"><function>SlopefieldPlot</"
+"function></link>)."
+msgstr ""
+
+#: C/genius.xml:725(term)
+msgid "SumProductNumberOfTries"
+msgstr ""
+
+#: C/genius.xml:727(synopsis)
+#, no-wrap
+msgid "SumProductNumberOfTries = number"
+msgstr ""
+
+#: C/genius.xml:728(para)
+msgid ""
+"How many iterations to try for <function>InfiniteSum</function> and "
+"<function>InfiniteProduct</function>."
+msgstr ""
+
+#: C/genius.xml:733(term)
+msgid "SumProductSFS"
+msgstr ""
+
+#: C/genius.xml:735(synopsis)
+#, no-wrap
+msgid "SumProductSFS = number"
+msgstr ""
+
+#: C/genius.xml:736(para)
+msgid ""
+"How many successive steps to be within tolerance for <function>InfiniteSum</"
+"function> and <function>InfiniteProduct</function>."
+msgstr ""
+
+#: C/genius.xml:741(term)
+msgid "SumProductTolerance"
+msgstr ""
+
+#: C/genius.xml:743(synopsis)
+#, no-wrap
+msgid "SumProductTolerance = number"
+msgstr ""
+
+#: C/genius.xml:744(para)
+msgid ""
+"Tolerance for <function>InfiniteSum</function> and "
+"<function>InfiniteProduct</function>."
+msgstr ""
+
+#: C/genius.xml:749(term)
+msgid "SurfacePlotVariableNames"
+msgstr ""
+
+#: C/genius.xml:751(synopsis)
+#, no-wrap
+msgid "SurfacePlotVariableNames = [\"x\",\"y\",\"z\"]"
+msgstr ""
+
+#: C/genius.xml:752(para)
+msgid ""
+"Tells genius which variable names are used as default names for <link "
+"linkend=\"genius-gel-function-list-plotting\">surface plotting functions</"
+"link> using <link linkend=\"gel-function-SurfacePlot"
+"\"><function>SurfacePlot</function></link>. Note that the <varname>z</"
+"varname> does not refer to the dependent (vertical) axis, but to the "
+"indepent complex variable <userinput>z=x+iy</userinput>."
+msgstr ""
+
+#: C/genius.xml:761(term)
+msgid "SurfacePlotWindow"
+msgstr ""
+
+#: C/genius.xml:763(synopsis)
+#, no-wrap
+msgid "SurfacePlotWindow = [x1,x2,y1,y2,z1,z2]"
+msgstr ""
+
+#: C/genius.xml:764(para)
+msgid ""
+"Sets the limits for surface plotting (See <link linkend=\"gel-function-"
+"SurfacePlot\"><function>SurfacePlot</function></link>)."
+msgstr ""
+
+#: C/genius.xml:769(term)
+msgid "VectorfieldNormalized"
+msgstr ""
+
+#: C/genius.xml:771(synopsis)
+#, no-wrap
+msgid "VectorfieldNormalized = true"
+msgstr ""
+
+#: C/genius.xml:772(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:779(term)
+msgid "VectorfieldTicks"
+msgstr ""
+
+#: C/genius.xml:781(synopsis)
+#, no-wrap
+msgid "VectorfieldTicks = [vertical,horizontal]"
+msgstr ""
+
+#: C/genius.xml:782(para)
+msgid ""
+"Sets the number of vertical and horizontal ticks in a vectorfield plot. (See "
+"<link linkend=\"gel-function-VectorfieldPlot\"><function>VectorfieldPlot</"
+"function></link>)."
+msgstr ""
+
+#: C/genius.xml:792(title)
+msgid "Constants"
+msgstr ""
+
+#: C/genius.xml:795(term) C/genius.xml:797(synopsis)
+msgid "CatalanConstant"
+msgstr ""
+
+#: C/genius.xml:798(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:801(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/CatalansConstant.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:809(term) C/genius.xml:811(synopsis)
+msgid "EulerConstant"
+msgstr ""
+
+#: C/genius.xml:812(para)
+msgid "Aliases: <function>gamma</function>"
+msgstr ""
+
+#: C/genius.xml:813(para)
+msgid "Euler's Constant gamma. Sometimes called the Euler-Mascheroni constant."
+msgstr ""
+
+#: C/genius.xml:817(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Euler-Mascheroni_constant";
+"\">Wikipedia</ulink> or <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:827(term) C/genius.xml:829(synopsis)
+msgid "GoldenRatio"
+msgstr ""
+
+#: C/genius.xml:830(para)
+msgid "The Golden Ratio."
+msgstr ""
+
+#: C/genius.xml:831(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Golden_ratio\";>Wikipedia</"
+"ulink> or <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:841(term) C/genius.xml:843(synopsis)
+msgid "Gravity"
+msgstr ""
+
+#: C/genius.xml:844(para)
+msgid "Free fall acceleration at sea level."
+msgstr ""
+
+#: C/genius.xml:845(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Standard_gravity\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:853(term) C/genius.xml:855(synopsis)
+msgid "e"
+msgstr "e"
+
+#: C/genius.xml:856(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:862(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/E_(mathematical_constant)"
+"\">Wikipedia</ulink> or <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:872(term) C/genius.xml:874(synopsis)
+msgid "pi"
+msgstr "pi"
+
+#: C/genius.xml:875(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:879(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Pi\";>Wikipedia</ulink> or "
+"<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:892(title)
+msgid "Numeric"
+msgstr ""
+
+#: C/genius.xml:895(term)
+msgid "AbsoluteValue"
+msgstr "AbsoluteValue"
+
+#: C/genius.xml:897(synopsis)
+#, no-wrap
+msgid "AbsoluteValue (x)"
+msgstr "AbsoluteValue (x)"
+
+#: C/genius.xml:898(para)
+msgid "Aliases: <function>abs</function>"
+msgstr ""
+
+#: C/genius.xml:899(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:904(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Absolute_value\";>Wikipedia</"
+"ulink>, <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:917(term)
+msgid "Chop"
+msgstr "Chop"
+
+#: C/genius.xml:919(synopsis)
+#, no-wrap
+msgid "Chop (x)"
+msgstr "Chop (x)"
+
+#: C/genius.xml:920(para)
+msgid "Replace very small number with zero."
+msgstr ""
+
+#: C/genius.xml:925(term)
+msgid "ComplexConjugate"
+msgstr "ComplexConjugate"
+
+#: C/genius.xml:927(synopsis)
+#, no-wrap
+msgid "ComplexConjugate (z)"
+msgstr "ComplexConjugate (z)"
+
+#: C/genius.xml:928(para)
+msgid "Aliases: <function>conj</function><function>Conj</function>"
+msgstr ""
+
+#: C/genius.xml:929(para)
+msgid ""
+"Calculates the complex conjugate of the complex number <varname>z</varname>. "
+"If <varname>z</varname> is a vector or matrix, all its elements are "
+"conjugated."
+msgstr ""
+
+#: C/genius.xml:931(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Complex_conjugate\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:939(term)
+msgid "Denominator"
+msgstr "Denominator"
+
+#: C/genius.xml:941(synopsis)
+#, no-wrap
+msgid "Denominator (x)"
+msgstr "Denominator (x)"
+
+#: C/genius.xml:942(para)
+msgid "Get the denominator of a rational number."
+msgstr ""
+
+#: C/genius.xml:943(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Denominator\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:951(term)
+msgid "FractionalPart"
+msgstr "FractionalPart"
+
+#: C/genius.xml:953(synopsis)
+#, no-wrap
+msgid "FractionalPart (x)"
+msgstr "FractionalPart (x)"
+
+#: C/genius.xml:954(para)
+msgid "Return the fractional part of a number."
+msgstr ""
+
+#: C/genius.xml:955(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Fractional_part\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:963(term)
+msgid "Im"
+msgstr "Im"
+
+#: C/genius.xml:965(synopsis)
+#, no-wrap
+msgid "Im (z)"
+msgstr "Im (z)"
+
+#: C/genius.xml:966(para)
+msgid "Aliases: <function>ImaginaryPart</function>"
+msgstr ""
+
+#: C/genius.xml:967(para)
+msgid "Get the imaginary part of a complex number."
+msgstr ""
+
+#: C/genius.xml:968(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Imaginary_part\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:976(term)
+msgid "IntegerQuotient"
+msgstr "IntegerQuotient"
+
+#: C/genius.xml:978(synopsis)
+#, no-wrap
+msgid "IntegerQuotient (m,n)"
+msgstr "IntegerQuotient (m,n)"
+
+#: C/genius.xml:979(para)
+msgid "Division without remainder."
+msgstr ""
+
+#: C/genius.xml:984(term)
+msgid "IsComplex"
+msgstr "IsComplex"
+
+#: C/genius.xml:986(synopsis)
+#, no-wrap
+msgid "IsComplex (num)"
+msgstr ""
+
+#: C/genius.xml:987(para)
+msgid "Check if argument is a complex (non-real) number."
+msgstr ""
+
+#: C/genius.xml:992(term)
+msgid "IsComplexRational"
+msgstr "IsComplexRational"
+
+#: C/genius.xml:994(synopsis)
+#, no-wrap
+msgid "IsComplexRational (num)"
+msgstr ""
+
+#: C/genius.xml:995(para)
+msgid ""
+"Check if argument is a possibly complex rational number. That is, if both "
+"real and imaginary parts are given as rational numbers. Of course rational "
+"simply means \"not stored as a floating point number.\""
+msgstr ""
+
+#: C/genius.xml:1001(term)
+msgid "IsFloat"
+msgstr "IsFloat"
+
+#: C/genius.xml:1003(synopsis)
+#, no-wrap
+msgid "IsFloat (num)"
+msgstr ""
+
+#: C/genius.xml:1004(para)
+msgid "Check if argument is a floating point number (non-complex)."
+msgstr ""
+
+#: C/genius.xml:1009(term)
+msgid "IsGaussInteger"
+msgstr "IsGaussInteger"
+
+#: C/genius.xml:1011(synopsis)
+#, no-wrap
+msgid "IsGaussInteger (num)"
+msgstr ""
+
+#: C/genius.xml:1012(para)
+msgid "Aliases: <function>IsComplexInteger</function>"
+msgstr ""
+
+#: C/genius.xml:1013(para)
+msgid "Check if argument is a possibly complex integer."
+msgstr ""
+
+#: C/genius.xml:1018(term)
+msgid "IsInteger"
+msgstr "IsInteger"
+
+#: C/genius.xml:1020(synopsis)
+#, no-wrap
+msgid "IsInteger (num)"
+msgstr ""
+
+#: C/genius.xml:1021(para)
+msgid "Check if argument is an integer (non-complex)."
+msgstr ""
+
+#: C/genius.xml:1026(term)
+msgid "IsNonNegativeInteger"
+msgstr "IsNonNegativeInteger"
+
+#: C/genius.xml:1028(synopsis)
+#, no-wrap
+msgid "IsNonNegativeInteger (num)"
+msgstr ""
+
+#: C/genius.xml:1029(para)
+msgid "Check if argument is a non-negative real integer."
+msgstr ""
+
+#: C/genius.xml:1034(term)
+msgid "IsPositiveInteger"
+msgstr ""
+
+#: C/genius.xml:1036(synopsis)
+#, no-wrap
+msgid "IsPositiveInteger (num)"
+msgstr ""
+
+#: C/genius.xml:1037(para)
+msgid "Aliases: <function>IsNaturalNumber</function>"
+msgstr ""
+
+#: C/genius.xml:1038(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:1044(term)
+msgid "IsRational"
+msgstr "IsRational"
+
+#: C/genius.xml:1046(synopsis)
+#, no-wrap
+msgid "IsRational (num)"
+msgstr ""
+
+#: C/genius.xml:1047(para)
+msgid ""
+"Check if argument is a rational number (non-complex). Of course rational "
+"simply means \"not stored as a floating point number.\""
+msgstr ""
+
+#: C/genius.xml:1052(term)
+msgid "IsReal"
+msgstr "IsReal"
+
+#: C/genius.xml:1054(synopsis)
+#, no-wrap
+msgid "IsReal (num)"
+msgstr ""
+
+#: C/genius.xml:1055(para)
+msgid "Check if argument is a real number."
+msgstr ""
+
+#: C/genius.xml:1060(term)
+msgid "Numerator"
+msgstr "Numerator"
+
+#: C/genius.xml:1062(synopsis)
+#, no-wrap
+msgid "Numerator (x)"
+msgstr ""
+
+#: C/genius.xml:1063(para)
+msgid "Get the numerator of a rational number."
+msgstr ""
+
+#: C/genius.xml:1064(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Numerator\";>Wikipedia</ulink> "
+"for more information."
+msgstr ""
+
+#: C/genius.xml:1072(term)
+msgid "Re"
+msgstr "Re"
+
+#: C/genius.xml:1074(synopsis)
+#, no-wrap
+msgid "Re (z)"
+msgstr "Re (z)"
+
+#: C/genius.xml:1075(para)
+msgid "Aliases: <function>RealPart</function>"
+msgstr ""
+
+#: C/genius.xml:1076(para)
+msgid "Get the real part of a complex number."
+msgstr ""
+
+#: C/genius.xml:1077(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Real_part\";>Wikipedia</ulink> "
+"for more information."
+msgstr ""
+
+#: C/genius.xml:1085(term)
+msgid "Sign"
+msgstr "Sign"
+
+#: C/genius.xml:1087(synopsis)
+#, no-wrap
+msgid "Sign (x)"
+msgstr "Sign (x)"
+
+#: C/genius.xml:1088(para)
+msgid "Aliases: <function>sign</function>"
+msgstr ""
+
+#: C/genius.xml:1089(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:1099(term)
+msgid "ceil"
+msgstr "ceil"
+
+#: C/genius.xml:1101(synopsis)
+#, no-wrap
+msgid "ceil (x)"
+msgstr "ceil (x)"
+
+#: C/genius.xml:1102(para)
+msgid "Aliases: <function>Ceiling</function>"
+msgstr ""
+
+#: C/genius.xml:1103(para)
+msgid "Get the lowest integer more than or equal to n."
+msgstr ""
+
+#: C/genius.xml:1108(term)
+msgid "exp"
+msgstr "exp"
+
+#: C/genius.xml:1110(synopsis)
+#, no-wrap
+msgid "exp (x)"
+msgstr "exp (x)"
+
+#: C/genius.xml:1111(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:1117(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Exponential_function";
+"\">Wikipedia</ulink> or <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:1127(term)
+msgid "float"
+msgstr "float"
+
+#: C/genius.xml:1129(synopsis)
+#, no-wrap
+msgid "float (x)"
+msgstr "float (x)"
+
+#: C/genius.xml:1130(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:1135(term)
+msgid "floor"
+msgstr "floor"
+
+#: C/genius.xml:1137(synopsis)
+#, no-wrap
+msgid "floor (x)"
+msgstr "floor (x)"
+
+#: C/genius.xml:1138(para)
+msgid "Aliases: <function>Floor</function>"
+msgstr ""
+
+#: C/genius.xml:1139(para)
+msgid "Get the highest integer less than or equal to <varname>n</varname>."
+msgstr ""
+
+#: C/genius.xml:1144(term)
+msgid "ln"
+msgstr "ln"
+
+#: C/genius.xml:1146(synopsis)
+#, no-wrap
+msgid "ln (x)"
+msgstr "ln (x)"
+
+#: C/genius.xml:1147(para)
+msgid "The natural logarithm, the logarithm to base <varname>e</varname>."
+msgstr ""
+
+#: C/genius.xml:1152(term)
+msgid "log"
+msgstr "log"
+
+#: C/genius.xml:1154(synopsis)
+#, no-wrap
+msgid "log (x)"
+msgstr "log (x)"
+
+#: C/genius.xml:1155(synopsis)
+#, no-wrap
+msgid "log (x,b)"
+msgstr "log (x,b)"
+
+#: C/genius.xml:1156(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:1161(term)
+msgid "log10"
+msgstr "log10"
+
+#: C/genius.xml:1163(synopsis)
+#, no-wrap
+msgid "log10 (x)"
+msgstr "log10 (x)"
+
+#: C/genius.xml:1164(para)
+msgid "Logarithm of <varname>x</varname> base 10."
+msgstr ""
+
+#: C/genius.xml:1169(term)
+msgid "log2"
+msgstr "log2"
+
+#: C/genius.xml:1171(synopsis)
+#, no-wrap
+msgid "log2 (x)"
+msgstr "log2 (x)"
+
+#: C/genius.xml:1172(para)
+msgid "Aliases: <function>lg</function>"
+msgstr ""
+
+#: C/genius.xml:1173(para)
+msgid "Logarithm of <varname>x</varname> base 2."
+msgstr ""
+
+#: C/genius.xml:1178(term)
+msgid "max"
+msgstr "max"
+
+#: C/genius.xml:1180(synopsis)
+#, no-wrap
+msgid "max (a,args...)"
+msgstr "max (a,args...)"
+
+#: C/genius.xml:1181(para)
+msgid "Aliases: <function>Max</function><function>Maximum</function>"
+msgstr ""
+
+#: C/genius.xml:1182(para)
+msgid "Returns the maximum of arguments or matrix."
+msgstr ""
+
+#: C/genius.xml:1187(term)
+msgid "min"
+msgstr "min"
+
+#: C/genius.xml:1189(synopsis)
+#, no-wrap
+msgid "min (a,args...)"
+msgstr "min (a,args...)"
+
+#: C/genius.xml:1190(para)
+msgid "Aliases: <function>Min</function><function>Minimum</function>"
+msgstr ""
+
+#: C/genius.xml:1191(para)
+msgid "Returns the minimum of arguments or matrix."
+msgstr ""
+
+#: C/genius.xml:1196(term)
+msgid "rand"
+msgstr "rand"
+
+#: C/genius.xml:1198(synopsis)
+#, no-wrap
+msgid "rand (size...)"
+msgstr "rand (size...)"
+
+#: C/genius.xml:1199(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:1206(term)
+msgid "randint"
+msgstr "randint"
+
+#: C/genius.xml:1208(synopsis)
+#, no-wrap
+msgid "randint (max,size...)"
+msgstr "randint (max,size...)"
+
+#: C/genius.xml:1209(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></prompt> <userinput>randint(4)</userinput>\n"
+"= 3\n"
+"<prompt>genius></prompt> <userinput>randint(4,2)</userinput>\n"
+"=\n"
+"[0 1]\n"
+"<prompt>genius></prompt> <userinput>randint(4,2,3)</userinput>\n"
+"=\n"
+"[2 2 1\n"
+" 0 0 3]\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:1228(term)
+msgid "round"
+msgstr "round"
+
+#: C/genius.xml:1230(synopsis)
+#, no-wrap
+msgid "round (x)"
+msgstr "round (x)"
+
+#: C/genius.xml:1231(para)
+msgid "Aliases: <function>Round</function>"
+msgstr ""
+
+#: C/genius.xml:1232(para)
+msgid "Round a number."
+msgstr ""
+
+#: C/genius.xml:1237(term)
+msgid "sqrt"
+msgstr "sqrt"
+
+#: C/genius.xml:1239(synopsis)
+#, no-wrap
+msgid "sqrt (x)"
+msgstr "sqrt (x)"
+
+#: C/genius.xml:1240(para)
+msgid "Aliases: <function>SquareRoot</function>"
+msgstr ""
+
+#: C/genius.xml:1241(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></prompt> <userinput>sqrt(2)</userinput>\n"
+"= 1.41421356237\n"
+"<prompt>genius></prompt> <userinput>sqrt(-1)</userinput>\n"
+"= 1i\n"
+"<prompt>genius></prompt> <userinput>sqrt(4) mod 7</userinput>\n"
+"=\n"
+"[2 5]\n"
+"<prompt>genius></prompt> <userinput>2*2 mod 7</userinput>\n"
+"= 4\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:1253(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/SquareRoot.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1261(term)
+msgid "trunc"
+msgstr "trunc"
+
+#: C/genius.xml:1263(synopsis)
+#, no-wrap
+msgid "trunc (x)"
+msgstr "trunc (x)"
+
+#: C/genius.xml:1264(para)
+msgid "Aliases: <function>Truncate</function><function>IntegerPart</function>"
+msgstr ""
+
+#: C/genius.xml:1265(para)
+msgid "Truncate number to an integer (return the integer part)."
+msgstr ""
+
+#: C/genius.xml:1273(title)
+msgid "Trigonometry"
+msgstr ""
+
+#: C/genius.xml:1276(term)
+msgid "acos"
+msgstr "acos"
+
+#: C/genius.xml:1278(synopsis)
+#, no-wrap
+msgid "acos (x)"
+msgstr "acos (x)"
+
+#: C/genius.xml:1279(para)
+msgid "Aliases: <function>arccos</function>"
+msgstr ""
+
+#: C/genius.xml:1280(para)
+msgid "The arccos (inverse cos) function."
+msgstr ""
+
+#: C/genius.xml:1285(term)
+msgid "acosh"
+msgstr "acosh"
+
+#: C/genius.xml:1287(synopsis)
+#, no-wrap
+msgid "acosh (x)"
+msgstr "acosh (x)"
+
+#: C/genius.xml:1288(para)
+msgid "Aliases: <function>arccosh</function>"
+msgstr ""
+
+#: C/genius.xml:1289(para)
+msgid "The arccosh (inverse cosh) function."
+msgstr ""
+
+#: C/genius.xml:1294(term)
+msgid "acot"
+msgstr "acot"
+
+#: C/genius.xml:1296(synopsis)
+#, no-wrap
+msgid "acot (x)"
+msgstr "acot (x)"
+
+#: C/genius.xml:1297(para)
+msgid "Aliases: <function>arccot</function>"
+msgstr ""
+
+#: C/genius.xml:1298(para)
+msgid "The arccot (inverse cot) function."
+msgstr ""
+
+#: C/genius.xml:1303(term)
+msgid "acoth"
+msgstr "acoth"
+
+#: C/genius.xml:1305(synopsis)
+#, no-wrap
+msgid "acoth (x)"
+msgstr "acoth (x)"
+
+#: C/genius.xml:1306(para)
+msgid "Aliases: <function>arccoth</function>"
+msgstr ""
+
+#: C/genius.xml:1307(para)
+msgid "The arccoth (inverse coth) function."
+msgstr ""
+
+#: C/genius.xml:1312(term)
+msgid "acsc"
+msgstr "acsc"
+
+#: C/genius.xml:1314(synopsis)
+#, no-wrap
+msgid "acsc (x)"
+msgstr "acsc (x)"
+
+#: C/genius.xml:1315(para)
+msgid "Aliases: <function>arccsc</function>"
+msgstr ""
+
+#: C/genius.xml:1316(para)
+msgid "The inverse cosecant function."
+msgstr ""
+
+#: C/genius.xml:1321(term)
+msgid "acsch"
+msgstr "acsch"
+
+#: C/genius.xml:1323(synopsis)
+#, no-wrap
+msgid "acsch (x)"
+msgstr "acsch (x)"
+
+#: C/genius.xml:1324(para)
+msgid "Aliases: <function>arccsch</function>"
+msgstr ""
+
+#: C/genius.xml:1325(para)
+msgid "The inverse hyperbolic cosecant function."
+msgstr ""
+
+#: C/genius.xml:1330(term)
+msgid "asec"
+msgstr "asec"
+
+#: C/genius.xml:1332(synopsis)
+#, no-wrap
+msgid "asec (x)"
+msgstr "asec (x)"
+
+#: C/genius.xml:1333(para)
+msgid "Aliases: <function>arcsec</function>"
+msgstr ""
+
+#: C/genius.xml:1334(para)
+msgid "The inverse secant function."
+msgstr ""
+
+#: C/genius.xml:1339(term)
+msgid "asech"
+msgstr "asech"
+
+#: C/genius.xml:1341(synopsis)
+#, no-wrap
+msgid "asech (x)"
+msgstr "asech (x)"
+
+#: C/genius.xml:1342(para)
+msgid "Aliases: <function>arcsech</function>"
+msgstr ""
+
+#: C/genius.xml:1343(para)
+msgid "The inverse hyperbolic secant function."
+msgstr ""
+
+#: C/genius.xml:1348(term)
+msgid "asin"
+msgstr "asin"
+
+#: C/genius.xml:1350(synopsis)
+#, no-wrap
+msgid "asin (x)"
+msgstr "asin (x)"
+
+#: C/genius.xml:1351(para)
+msgid "Aliases: <function>arcsin</function>"
+msgstr ""
+
+#: C/genius.xml:1352(para)
+msgid "The arcsin (inverse sin) function."
+msgstr ""
+
+#: C/genius.xml:1357(term)
+msgid "asinh"
+msgstr "asinh"
+
+#: C/genius.xml:1359(synopsis)
+#, no-wrap
+msgid "asinh (x)"
+msgstr "asinh (x)"
+
+#: C/genius.xml:1360(para)
+msgid "Aliases: <function>arcsinh</function>"
+msgstr ""
+
+#: C/genius.xml:1361(para)
+msgid "The arcsinh (inverse sinh) function."
+msgstr ""
+
+#: C/genius.xml:1366(term)
+msgid "atan"
+msgstr "atan"
+
+#: C/genius.xml:1368(synopsis)
+#, no-wrap
+msgid "atan (x)"
+msgstr "atan (x)"
+
+#: C/genius.xml:1369(para)
+msgid "Aliases: <function>arctan</function>"
+msgstr ""
+
+#: C/genius.xml:1370(para)
+msgid "Calculates the arctan (inverse tan) function."
+msgstr ""
+
+#: C/genius.xml:1371(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Arctangent\";>Wikipedia</ulink> "
+"or <ulink url=\"http://mathworld.wolfram.com/InverseTangent.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1380(term)
+msgid "atanh"
+msgstr "atanh"
+
+#: C/genius.xml:1382(synopsis)
+#, no-wrap
+msgid "atanh (x)"
+msgstr "atanh (x)"
+
+#: C/genius.xml:1383(para)
+msgid "Aliases: <function>arctanh</function>"
+msgstr ""
+
+#: C/genius.xml:1384(para)
+msgid "The arctanh (inverse tanh) function."
+msgstr ""
+
+#: C/genius.xml:1389(term)
+msgid "atan2"
+msgstr "atan2"
+
+#: C/genius.xml:1391(synopsis)
+#, no-wrap
+msgid "atan2 (y, x)"
+msgstr "atan2 (y, x)"
+
+#: C/genius.xml:1392(para)
+msgid "Aliases: <function>arctan2</function>"
+msgstr ""
+
+#: C/genius.xml:1393(para)
+msgid ""
+"Calculates the arctan2 function. If <userinput>x>0</userinput> then it "
+"returns <userinput>atan(y/x)</userinput>. If <userinput>x<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:1401(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Atan2\";>Wikipedia</ulink> or "
+"<ulink url=\"http://mathworld.wolfram.com/InverseTangent.html\";>Mathworld</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1410(term)
+msgid "cos"
+msgstr "cos"
+
+#: C/genius.xml:1412(synopsis)
+#, no-wrap
+msgid "cos (x)"
+msgstr "cos (x)"
+
+#: C/genius.xml:1413(para)
+msgid "Calculates the cosine function."
+msgstr ""
+
+#: C/genius.xml:1414(para) C/genius.xml:1438(para) C/genius.xml:1462(para)
+#: C/genius.xml:1486(para) C/genius.xml:1510(para) C/genius.xml:1534(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/";
+"DefinitionsInTrigonometry.html\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1422(term)
+msgid "cosh"
+msgstr "cosh"
+
+#: C/genius.xml:1424(synopsis)
+#, no-wrap
+msgid "cosh (x)"
+msgstr "cosh (x)"
+
+#: C/genius.xml:1425(para)
+msgid "Calculates the hyperbolic cosine function."
+msgstr ""
+
+#: C/genius.xml:1426(para) C/genius.xml:1450(para) C/genius.xml:1474(para)
+#: C/genius.xml:1498(para) C/genius.xml:1522(para) C/genius.xml:1546(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/HyperbolicFunctions.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1434(term)
+msgid "cot"
+msgstr "cot"
+
+#: C/genius.xml:1436(synopsis)
+#, no-wrap
+msgid "cot (x)"
+msgstr "cot (x)"
+
+#: C/genius.xml:1437(para)
+msgid "The cotangent function."
+msgstr ""
+
+#: C/genius.xml:1446(term)
+msgid "coth"
+msgstr "coth"
+
+#: C/genius.xml:1448(synopsis)
+#, no-wrap
+msgid "coth (x)"
+msgstr "coth (x)"
+
+#: C/genius.xml:1449(para)
+msgid "The hyperbolic cotangent function."
+msgstr ""
+
+#: C/genius.xml:1458(term)
+msgid "csc"
+msgstr "csc"
+
+#: C/genius.xml:1460(synopsis)
+#, no-wrap
+msgid "csc (x)"
+msgstr "csc (x)"
+
+#: C/genius.xml:1461(para)
+msgid "The cosecant function."
+msgstr ""
+
+#: C/genius.xml:1470(term)
+msgid "csch"
+msgstr "csch"
+
+#: C/genius.xml:1472(synopsis)
+#, no-wrap
+msgid "csch (x)"
+msgstr "csch (x)"
+
+#: C/genius.xml:1473(para)
+msgid "The hyperbolic cosecant function."
+msgstr ""
+
+#: C/genius.xml:1482(term)
+msgid "sec"
+msgstr "sec"
+
+#: C/genius.xml:1484(synopsis)
+#, no-wrap
+msgid "sec (x)"
+msgstr "sec (x)"
+
+#: C/genius.xml:1485(para)
+msgid "The secant function."
+msgstr ""
+
+#: C/genius.xml:1494(term)
+msgid "sech"
+msgstr "sech"
+
+#: C/genius.xml:1496(synopsis)
+#, no-wrap
+msgid "sech (x)"
+msgstr "sech (x)"
+
+#: C/genius.xml:1497(para)
+msgid "The hyperbolic secant function."
+msgstr ""
+
+#: C/genius.xml:1506(term)
+msgid "sin"
+msgstr "sin"
+
+#: C/genius.xml:1508(synopsis)
+#, no-wrap
+msgid "sin (x)"
+msgstr "sin (x)"
+
+#: C/genius.xml:1509(para)
+msgid "Calculates the sine function."
+msgstr ""
+
+#: C/genius.xml:1518(term)
+msgid "sinh"
+msgstr "sinh"
+
+#: C/genius.xml:1520(synopsis)
+#, no-wrap
+msgid "sinh (x)"
+msgstr "sinh (x)"
+
+#: C/genius.xml:1521(para)
+msgid "Calculates the hyperbolic sine function."
+msgstr ""
+
+#: C/genius.xml:1530(term)
+msgid "tan"
+msgstr "tan"
+
+#: C/genius.xml:1532(synopsis)
+#, no-wrap
+msgid "tan (x)"
+msgstr "tan (x)"
+
+#: C/genius.xml:1533(para)
+msgid "Calculates the tan function."
+msgstr ""
+
+#: C/genius.xml:1542(term)
+msgid "tanh"
+msgstr "tanh"
+
+#: C/genius.xml:1544(synopsis)
+#, no-wrap
+msgid "tanh (x)"
+msgstr "tanh (x)"
+
+#: C/genius.xml:1545(para)
+msgid "The hyperbolic tangent function."
+msgstr ""
+
+#: C/genius.xml:1557(title)
+msgid "Number Theory"
+msgstr ""
+
+#: C/genius.xml:1560(term)
+msgid "AreRelativelyPrime"
+msgstr "AreRelativelyPrime"
+
+#: C/genius.xml:1562(synopsis)
+#, no-wrap
+msgid "AreRelativelyPrime (a,b)"
+msgstr "AreRelativelyPrime (a,b)"
+
+#: C/genius.xml:1563(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:1567(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:1576(term)
+msgid "BernoulliNumber"
+msgstr "BernoulliNumber"
+
+#: C/genius.xml:1578(synopsis)
+#, no-wrap
+msgid "BernoulliNumber (n)"
+msgstr "BernoulliNumber (n)"
+
+#: C/genius.xml:1579(para)
+msgid "Return the <varname>n</varname>th Bernoulli number."
+msgstr ""
+
+#: C/genius.xml:1580(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Bernoulli_number\";>Wikipedia</"
+"ulink> or <ulink url=\"http://mathworld.wolfram.com/BernoulliNumber.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1589(term)
+msgid "ChineseRemainder"
+msgstr "ChineseRemainder"
+
+#: C/genius.xml:1591(synopsis)
+#, no-wrap
+msgid "ChineseRemainder (a,m)"
+msgstr "ChineseRemainder (a,m)"
+
+#: C/genius.xml:1592(para)
+msgid "Aliases: <function>CRT</function>"
+msgstr ""
+
+#: C/genius.xml:1593(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:1597(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Chinese_remainder_theorem";
+"\">Wikipedia</ulink> or <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:1607(term)
+msgid "CombineFactorizations"
+msgstr "CombineFactorizations"
+
+#: C/genius.xml:1609(synopsis)
+#, no-wrap
+msgid "CombineFactorizations (a,b)"
+msgstr "CombineFactorizations (a,b)"
+
+#: C/genius.xml:1610(para)
+msgid "Given two factorizations, give the factorization of the product."
+msgstr ""
+
+#: C/genius.xml:1612(para)
+msgid "See <link linkend=\"gel-function-Factorize\">Factorize</link>."
+msgstr ""
+
+#: C/genius.xml:1617(term)
+msgid "ConvertFromBase"
+msgstr "ConvertFromBase"
+
+#: C/genius.xml:1619(synopsis)
+#, no-wrap
+msgid "ConvertFromBase (v,b)"
+msgstr "ConvertFromBase (v,b)"
+
+#: C/genius.xml:1620(para)
+msgid "Convert a vector of values indicating powers of b to a number."
+msgstr ""
+
+#: C/genius.xml:1625(term)
+msgid "ConvertToBase"
+msgstr "ConvertToBase"
+
+#: C/genius.xml:1627(synopsis)
+#, no-wrap
+msgid "ConvertToBase (n,b)"
+msgstr "ConvertToBase (n,b)"
+
+#: C/genius.xml:1628(para)
+msgid ""
+"Convert a number to a vector of powers for elements in base <varname>b</"
+"varname>."
+msgstr ""
+
+#: C/genius.xml:1633(term)
+msgid "DiscreteLog"
+msgstr "DiscreteLog"
+
+#: C/genius.xml:1635(synopsis)
+#, no-wrap
+msgid "DiscreteLog (n,b,q)"
+msgstr "DiscreteLog (n,b,q)"
+
+#: C/genius.xml:1636(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 "
+"algorithm."
+msgstr ""
+
+#: C/genius.xml:1639(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Discrete_logarithm";
+"\">Wikipedia</ulink> or <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:1649(term)
+msgid "Divides"
+msgstr "Divides"
+
+#: C/genius.xml:1651(synopsis)
+#, no-wrap
+msgid "Divides (m,n)"
+msgstr "Divides (m,n)"
+
+#: C/genius.xml:1652(para)
+msgid ""
+"Checks divisibility (if <varname>m</varname> divides <varname>n</varname>)."
+msgstr ""
+
+#: C/genius.xml:1657(term)
+msgid "EulerPhi"
+msgstr "EulerPhi"
+
+#: C/genius.xml:1659(synopsis)
+#, no-wrap
+msgid "EulerPhi (n)"
+msgstr "EulerPhi (n)"
+
+#: C/genius.xml:1660(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:1665(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Euler_phi\";>Wikipedia</ulink> "
+"or <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:1675(term)
+msgid "ExactDivision"
+msgstr "ExactDivision"
+
+#: C/genius.xml:1677(synopsis)
+#, no-wrap
+msgid "ExactDivision (n,d)"
+msgstr "ExactDivision (n,d)"
+
+#: C/genius.xml:1678(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:1690(term)
+msgid "Factorize"
+msgstr "Factorize"
+
+#: C/genius.xml:1692(synopsis)
+#, no-wrap
+msgid "Factorize (n)"
+msgstr "Factorize (n)"
+
+#: C/genius.xml:1693(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></prompt> <userinput>Factorize(11*11*13)</"
+"userinput>\n"
+"=\n"
+"[1 11 13\n"
+" 1 2 1]</screen>"
+msgstr ""
+
+#: C/genius.xml:1702(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Factorization\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1710(term)
+msgid "Factors"
+msgstr "Factors"
+
+#: C/genius.xml:1712(synopsis)
+#, no-wrap
+msgid "Factors (n)"
+msgstr "Factors (n)"
+
+#: C/genius.xml:1719(programlisting)
+#, no-wrap
+msgid ""
+"for n=1 to 1000 do (\n"
+" if MatrixSum (Factors(n)) == 2*n then\n"
+" print(n)\n"
+")\n"
+msgstr ""
+
+#: C/genius.xml:1713(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 "
+"inefficient) <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:1729(term)
+msgid "FermatFactorization"
+msgstr "FermatFactorization"
+
+#: C/genius.xml:1731(synopsis)
+#, no-wrap
+msgid "FermatFactorization (n,tries)"
+msgstr "FermatFactorization (n,tries)"
+
+#: C/genius.xml:1732(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:1739(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:1743(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Fermat_factorization";
+"\">Wikipedia</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1751(term)
+msgid "FindPrimitiveElementMod"
+msgstr "FindPrimitiveElementMod"
+
+#: C/genius.xml:1753(synopsis)
+#, no-wrap
+msgid "FindPrimitiveElementMod (q)"
+msgstr "FindPrimitiveElementMod (q)"
+
+#: C/genius.xml:1754(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:1760(term)
+msgid "FindRandomPrimitiveElementMod"
+msgstr "FindRandomPrimitiveElementMod"
+
+#: C/genius.xml:1762(synopsis)
+#, no-wrap
+msgid "FindRandomPrimitiveElementMod (q)"
+msgstr "FindRandomPrimitiveElementMod (q)"
+
+#: C/genius.xml:1763(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:1769(term)
+msgid "IndexCalculus"
+msgstr "IndexCalculus"
+
+#: C/genius.xml:1771(synopsis)
+#, no-wrap
+msgid "IndexCalculus (n,b,q,S)"
+msgstr "IndexCalculus (n,b,q,S)"
+
+#: C/genius.xml:1772(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:1781(term)
+msgid "IndexCalculusPrecalculation"
+msgstr "IndexCalculusPrecalculation"
+
+#: C/genius.xml:1783(synopsis)
+#, no-wrap
+msgid "IndexCalculusPrecalculation (b,q,S)"
+msgstr "IndexCalculusPrecalculation (b,q,S)"
+
+#: C/genius.xml:1784(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:1794(term)
+msgid "IsEven"
+msgstr "IsEven"
+
+#: C/genius.xml:1796(synopsis)
+#, no-wrap
+msgid "IsEven (n)"
+msgstr "IsEven (n)"
+
+#: C/genius.xml:1797(para)
+msgid "Tests if an integer is even."
+msgstr ""
+
+#: C/genius.xml:1802(term)
+msgid "IsMersennePrimeExponent"
+msgstr "IsMersennePrimeExponent"
+
+#: C/genius.xml:1804(synopsis)
+#, no-wrap
+msgid "IsMersennePrimeExponent (p)"
+msgstr "IsMersennePrimeExponent (p)"
+
+#: C/genius.xml:1805(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:1816(para) C/genius.xml:2032(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Mersenne_prime\";>Wikipedia</"
+"ulink>, <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:1828(term)
+msgid "IsNthPower"
+msgstr "IsNthPower"
+
+#: C/genius.xml:1830(synopsis)
+#, no-wrap
+msgid "IsNthPower (m,n)"
+msgstr "IsNthPower (m,n)"
+
+#: C/genius.xml:1831(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:1842(term)
+msgid "IsOdd"
+msgstr "IsOdd"
+
+#: C/genius.xml:1844(synopsis)
+#, no-wrap
+msgid "IsOdd (n)"
+msgstr "IsOdd (n)"
+
+#: C/genius.xml:1845(para)
+msgid "Tests if an integer is odd."
+msgstr ""
+
+#: C/genius.xml:1850(term)
+msgid "IsPerfectPower"
+msgstr "IsPerfectPower"
+
+#: C/genius.xml:1852(synopsis)
+#, no-wrap
+msgid "IsPerfectPower (n)"
+msgstr "IsPerfectPower (n)"
+
+#: C/genius.xml:1853(para)
+msgid "Check an integer is any perfect power, a<superscript>b</superscript>."
+msgstr ""
+
+#: C/genius.xml:1858(term)
+msgid "IsPerfectSquare"
+msgstr "IsPerfectSquare"
+
+#: C/genius.xml:1860(synopsis)
+#, no-wrap
+msgid "IsPerfectSquare (n)"
+msgstr "IsPerfectSquare (n)"
+
+#: C/genius.xml:1861(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:1870(term)
+msgid "IsPrime"
+msgstr "IsPrime"
+
+#: C/genius.xml:1872(synopsis)
+#, no-wrap
+msgid "IsPrime (n)"
+msgstr "IsPrime (n)"
+
+#: C/genius.xml:1873(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:1884(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:1892(para) C/genius.xml:2130(para) C/genius.xml:2170(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:1901(term)
+msgid "IsPrimitiveMod"
+msgstr "IsPrimitiveMod"
+
+#: C/genius.xml:1903(synopsis)
+#, no-wrap
+msgid "IsPrimitiveMod (g,q)"
+msgstr "IsPrimitiveMod (g,q)"
+
+#: C/genius.xml:1904(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:1910(term)
+msgid "IsPrimitiveModWithPrimeFactors"
+msgstr "IsPrimitiveModWithPrimeFactors"
+
+#: C/genius.xml:1912(synopsis)
+#, no-wrap
+msgid "IsPrimitiveModWithPrimeFactors (g,q,f)"
+msgstr "IsPrimitiveModWithPrimeFactors (g,q,f)"
+
+#: C/genius.xml:1913(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:1921(term)
+msgid "IsPseudoprime"
+msgstr "IsPseudoprime"
+
+#: C/genius.xml:1923(synopsis)
+#, no-wrap
+msgid "IsPseudoprime (n,b)"
+msgstr "IsPseudoprime (n,b)"
+
+#: C/genius.xml:1924(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:1930(term)
+msgid "IsStrongPseudoprime"
+msgstr "IsStrongPseudoprime"
+
+#: C/genius.xml:1932(synopsis)
+#, no-wrap
+msgid "IsStrongPseudoprime (n,b)"
+msgstr "IsStrongPseudoprime (n,b)"
+
+#: C/genius.xml:1933(para)
+msgid ""
+"Test if <varname>n</varname> is a strong pseudoprime to base <varname>b</"
+"varname> but not a prime."
+msgstr ""
+
+#: C/genius.xml:1938(term)
+msgid "Jacobi"
+msgstr "Jacobi"
+
+#: C/genius.xml:1940(synopsis)
+#, no-wrap
+msgid "Jacobi (a,b)"
+msgstr "Jacobi (a,b)"
+
+#: C/genius.xml:1941(para)
+msgid "Aliases: <function>JacobiSymbol</function>"
+msgstr ""
+
+#: C/genius.xml:1942(para)
+msgid "Calculate the Jacobi symbol (a/b) (b should be odd)."
+msgstr ""
+
+#: C/genius.xml:1947(term)
+msgid "JacobiKronecker"
+msgstr "JacobiKronecker"
+
+#: C/genius.xml:1949(synopsis)
+#, no-wrap
+msgid "JacobiKronecker (a,b)"
+msgstr "JacobiKronecker (a,b)"
+
+#: C/genius.xml:1950(para)
+msgid "Aliases: <function>JacobiKroneckerSymbol</function>"
+msgstr ""
+
+#: C/genius.xml:1951(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:1956(term)
+msgid "LeastAbsoluteResidue"
+msgstr "LeastAbsoluteResidue"
+
+#: C/genius.xml:1958(synopsis)
+#, no-wrap
+msgid "LeastAbsoluteResidue (a,n)"
+msgstr "LeastAbsoluteResidue (a,n)"
+
+#: C/genius.xml:1959(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:1964(term)
+msgid "Legendre"
+msgstr "Legendre"
+
+#: C/genius.xml:1966(synopsis)
+#, no-wrap
+msgid "Legendre (a,p)"
+msgstr "Legendre (a,p)"
+
+#: C/genius.xml:1967(para)
+msgid "Aliases: <function>LegendreSymbol</function>"
+msgstr ""
+
+#: C/genius.xml:1968(para)
+msgid "Calculate the Legendre symbol (a/p)."
+msgstr ""
+
+#: C/genius.xml:1969(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:1978(term)
+msgid "LucasLehmer"
+msgstr "LucasLehmer"
+
+#: C/genius.xml:1980(synopsis)
+#, no-wrap
+msgid "LucasLehmer (p)"
+msgstr "LucasLehmer (p)"
+
+#: C/genius.xml:1981(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:1987(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Lucas%E2%80%";
+"93Lehmer_primality_test\">Wikipedia</ulink> or <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:1997(term)
+msgid "LucasNumber"
+msgstr "LucasNumber"
+
+#: C/genius.xml:1999(synopsis)
+#, no-wrap
+msgid "LucasNumber (n)"
+msgstr "LucasNumber (n)"
+
+#: C/genius.xml:2000(para)
+msgid "Returns the <varname>n</varname>th Lucas number."
+msgstr ""
+
+#: C/genius.xml:2001(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Lucas_number\";>Wikipedia</"
+"ulink> or <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:2011(term)
+msgid "MaximalPrimePowerFactors"
+msgstr "MaximalPrimePowerFactors"
+
+#: C/genius.xml:2013(synopsis)
+#, no-wrap
+msgid "MaximalPrimePowerFactors (n)"
+msgstr "MaximalPrimePowerFactors (n)"
+
+#: C/genius.xml:2014(para)
+msgid "Return all maximal prime power factors of a number."
+msgstr ""
+
+#: C/genius.xml:2019(term) C/genius.xml:2021(synopsis)
+msgid "MersennePrimeExponents"
+msgstr ""
+
+#: C/genius.xml:2022(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:2044(term)
+msgid "MillerRabinTest"
+msgstr "MillerRabinTest"
+
+#: C/genius.xml:2046(synopsis)
+#, no-wrap
+msgid "MillerRabinTest (n,reps)"
+msgstr "MillerRabinTest (n,reps)"
+
+#: C/genius.xml:2047(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:2056(para) C/genius.xml:2074(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Miller%E2%80%";
+"93Rabin_primality_test\">Wikipedia</ulink> or <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:2066(term)
+msgid "MillerRabinTestSure"
+msgstr "MillerRabinTestSure"
+
+#: C/genius.xml:2068(synopsis)
+#, no-wrap
+msgid "MillerRabinTestSure (n)"
+msgstr "MillerRabinTestSure (n)"
+
+#: C/genius.xml:2069(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:2084(term)
+msgid "ModInvert"
+msgstr "ModInvert"
+
+#: C/genius.xml:2086(synopsis)
+#, no-wrap
+msgid "ModInvert (n,m)"
+msgstr "ModInvert (n,m)"
+
+#: C/genius.xml:2087(para)
+msgid "Returns inverse of n mod m."
+msgstr ""
+
+#: C/genius.xml:2088(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/ModularInverse.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2096(term)
+msgid "MoebiusMu"
+msgstr "MoebiusMu"
+
+#: C/genius.xml:2098(synopsis)
+#, no-wrap
+msgid "MoebiusMu (n)"
+msgstr "MoebiusMu (n)"
+
+#: C/genius.xml:2099(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:2105(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:2114(term)
+msgid "NextPrime"
+msgstr "NextPrime"
+
+#: C/genius.xml:2116(synopsis)
+#, no-wrap
+msgid "NextPrime (n)"
+msgstr "NextPrime (n)"
+
+#: C/genius.xml:2117(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:2122(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:2139(term)
+msgid "PadicValuation"
+msgstr "PadicValuation"
+
+#: C/genius.xml:2141(synopsis)
+#, no-wrap
+msgid "PadicValuation (n,p)"
+msgstr "PadicValuation (n,p)"
+
+#: C/genius.xml:2142(para)
+msgid ""
+"Returns the p-adic valuation (number of trailing zeros in base <varname>p</"
+"varname>)."
+msgstr ""
+
+#: C/genius.xml:2143(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/PAdicValuation.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2151(term)
+msgid "PowerMod"
+msgstr "PowerMod"
+
+#: C/genius.xml:2153(synopsis)
+#, no-wrap
+msgid "PowerMod (a,b,m)"
+msgstr "PowerMod (a,b,m)"
+
+#: C/genius.xml:2154(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:2165(term)
+msgid "Prime"
+msgstr "Prime"
+
+#: C/genius.xml:2167(synopsis)
+#, no-wrap
+msgid "Prime (n)"
+msgstr "Prime (n)"
+
+#: C/genius.xml:2168(para)
+msgid "Aliases: <function>prime</function>"
+msgstr ""
+
+#: C/genius.xml:2169(para)
+msgid "Return the <varname>n</varname>th prime (up to a limit)."
+msgstr ""
+
+#: C/genius.xml:2179(term)
+msgid "PrimeFactors"
+msgstr "PrimeFactors"
+
+#: C/genius.xml:2181(synopsis)
+#, no-wrap
+msgid "PrimeFactors (n)"
+msgstr "PrimeFactors (n)"
+
+#: C/genius.xml:2182(para)
+msgid "Return all prime factors of a number as a vector."
+msgstr ""
+
+#: C/genius.xml:2183(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/PrimeFactor.html\";>Mathworld</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2191(term)
+msgid "PseudoprimeTest"
+msgstr "PseudoprimeTest"
+
+#: C/genius.xml:2193(synopsis)
+#, no-wrap
+msgid "PseudoprimeTest (n,b)"
+msgstr "PseudoprimeTest (n,b)"
+
+#: C/genius.xml:2194(para)
+msgid ""
+"Pseudoprime test, returns true if and only if <userinput>b^(n-1) == 1 mod "
+"n</userinput>"
+msgstr ""
+
+#: C/genius.xml:2196(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:2205(term)
+msgid "RemoveFactor"
+msgstr "RemoveFactor"
+
+#: C/genius.xml:2207(synopsis)
+#, no-wrap
+msgid "RemoveFactor (n,m)"
+msgstr "RemoveFactor (n,m)"
+
+#: C/genius.xml:2208(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:2209(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:2218(term)
+msgid "SilverPohligHellmanWithFactorization"
+msgstr ""
+
+#: C/genius.xml:2220(synopsis)
+#, no-wrap
+msgid "SilverPohligHellmanWithFactorization (n,b,q,f)"
+msgstr ""
+
+#: C/genius.xml:2221(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 "
+"algorithm, given <varname>f</varname> being the factorization of <varname>q</"
+"varname>-1."
+msgstr ""
+
+#: C/genius.xml:2226(term)
+msgid "SqrtModPrime"
+msgstr "SqrtModPrime"
+
+#: C/genius.xml:2228(synopsis)
+#, no-wrap
+msgid "SqrtModPrime (n,p)"
+msgstr "SqrtModPrime (n,p)"
+
+#: C/genius.xml:2229(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:2230(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:2239(term)
+msgid "StrongPseudoprimeTest"
+msgstr "StrongPseudoprimeTest"
+
+#: C/genius.xml:2241(synopsis)
+#, no-wrap
+msgid "StrongPseudoprimeTest (n,b)"
+msgstr "StrongPseudoprimeTest (n,b)"
+
+#: C/genius.xml:2242(para)
+msgid ""
+"Run the strong pseudoprime test base <varname>b</varname> on <varname>n</"
+"varname>."
+msgstr ""
+
+#: C/genius.xml:2243(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:2252(term)
+msgid "gcd"
+msgstr "gcd"
+
+#: C/genius.xml:2254(synopsis)
+#, no-wrap
+msgid "gcd (a,args...)"
+msgstr "gcd (a,args...)"
+
+#: C/genius.xml:2255(para)
+msgid "Aliases: <function>GCD</function>"
+msgstr ""
+
+#: C/genius.xml:2256(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:2262(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:2271(term)
+msgid "lcm"
+msgstr "lcm"
+
+#: C/genius.xml:2273(synopsis)
+#, no-wrap
+msgid "lcm (a,args...)"
+msgstr "lcm (a,args...)"
+
+#: C/genius.xml:2274(para)
+msgid "Aliases: <function>LCM</function>"
+msgstr ""
+
+#: C/genius.xml:2275(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:2281(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:2293(title)
+msgid "Matrix Manipulation"
+msgstr ""
+
+#: C/genius.xml:2296(term)
+msgid "ApplyOverMatrix"
+msgstr "ApplyOverMatrix"
+
+#: C/genius.xml:2298(synopsis)
+#, no-wrap
+msgid "ApplyOverMatrix (a,func)"
+msgstr "ApplyOverMatrix (a,func)"
+
+#: C/genius.xml:2299(para)
+msgid ""
+"Apply a function over all entries of a matrix and return a matrix of the "
+"results."
+msgstr ""
+
+#: C/genius.xml:2304(term)
+msgid "ApplyOverMatrix2"
+msgstr "ApplyOverMatrix2"
+
+#: C/genius.xml:2306(synopsis)
+#, no-wrap
+msgid "ApplyOverMatrix2 (a,b,func)"
+msgstr "ApplyOverMatrix2 (a,b,func)"
+
+#: C/genius.xml:2307(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:2312(term)
+msgid "ColumnsOf"
+msgstr "ColumnsOf"
+
+#: C/genius.xml:2314(synopsis)
+#, no-wrap
+msgid "ColumnsOf (M)"
+msgstr "ColumnsOf (M)"
+
+#: C/genius.xml:2315(para)
+msgid "Gets the columns of a matrix as a horizontal vector."
+msgstr ""
+
+#: C/genius.xml:2320(term)
+msgid "ComplementSubmatrix"
+msgstr "ComplementSubmatrix"
+
+#: C/genius.xml:2322(synopsis)
+#, no-wrap
+msgid "ComplementSubmatrix (m,r,c)"
+msgstr "ComplementSubmatrix (m,r,c)"
+
+#: C/genius.xml:2323(para)
+msgid "Remove column(s) and row(s) from a matrix."
+msgstr ""
+
+#: C/genius.xml:2328(term)
+msgid "CompoundMatrix"
+msgstr "CompoundMatrix"
+
+#: C/genius.xml:2330(synopsis)
+#, no-wrap
+msgid "CompoundMatrix (k,A)"
+msgstr "CompoundMatrix (k,A)"
+
+#: C/genius.xml:2331(para)
+msgid "Calculate the kth compound matrix of A."
+msgstr ""
+
+#: C/genius.xml:2336(term)
+msgid "CountZeroColumns"
+msgstr "CountZeroColumns"
+
+#: C/genius.xml:2338(synopsis)
+#, no-wrap
+msgid "CountZeroColumns (M)"
+msgstr "CountZeroColumns (M)"
+
+#: C/genius.xml:2339(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:2349(term)
+msgid "DeleteColumn"
+msgstr "DeleteColumn"
+
+#: C/genius.xml:2351(synopsis)
+#, no-wrap
+msgid "DeleteColumn (M,col)"
+msgstr "DeleteColumn (M,col)"
+
+#: C/genius.xml:2352(para)
+msgid "Delete a column of a matrix."
+msgstr ""
+
+#: C/genius.xml:2357(term)
+msgid "DeleteRow"
+msgstr "DeleteRow"
+
+#: C/genius.xml:2359(synopsis)
+#, no-wrap
+msgid "DeleteRow (M,row)"
+msgstr "DeleteRow (M,row)"
+
+#: C/genius.xml:2360(para)
+msgid "Delete a row of a matrix."
+msgstr ""
+
+#: C/genius.xml:2365(term)
+msgid "DiagonalOf"
+msgstr "DiagonalOf"
+
+#: C/genius.xml:2367(synopsis)
+#, no-wrap
+msgid "DiagonalOf (M)"
+msgstr "DiagonalOf (M)"
+
+#: C/genius.xml:2368(para)
+msgid "Gets the diagonal entries of a matrix as a column vector."
+msgstr ""
+
+#: C/genius.xml:2369(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Diagonal_of_a_matrix#Matrices";
+"\">Wikipedia</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2377(term)
+msgid "DotProduct"
+msgstr "DotProduct"
+
+#: C/genius.xml:2379(synopsis)
+#, no-wrap
+msgid "DotProduct (u,v)"
+msgstr "DotProduct (u,v)"
+
+#: C/genius.xml:2380(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:2382(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/DotProduct.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2390(term)
+msgid "ExpandMatrix"
+msgstr "ExpandMatrix"
+
+#: C/genius.xml:2392(synopsis)
+#, no-wrap
+msgid "ExpandMatrix (M)"
+msgstr "ExpandMatrix (M)"
+
+#: C/genius.xml:2393(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:2403(term)
+msgid "HermitianProduct"
+msgstr "HermitianProduct"
+
+#: C/genius.xml:2405(synopsis)
+#, no-wrap
+msgid "HermitianProduct (u,v)"
+msgstr "HermitianProduct (u,v)"
+
+#: C/genius.xml:2406(para)
+msgid "Aliases: <function>InnerProduct</function>"
+msgstr ""
+
+#: C/genius.xml:2407(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:2408(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/HermitianInnerProduct.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2416(term)
+msgid "I"
+msgstr "I"
+
+#: C/genius.xml:2418(synopsis)
+#, no-wrap
+msgid "I (n)"
+msgstr "I (n)"
+
+#: C/genius.xml:2419(para)
+msgid "Aliases: <function>eye</function>"
+msgstr ""
+
+#: C/genius.xml:2420(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:2421(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/IdentityMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2429(term)
+msgid "IndexComplement"
+msgstr "IndexComplement"
+
+#: C/genius.xml:2431(synopsis)
+#, no-wrap
+msgid "IndexComplement (vec,msize)"
+msgstr "IndexComplement (vec,msize)"
+
+#: C/genius.xml:2432(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:2439(term)
+msgid "IsDiagonal"
+msgstr "IsDiagonal"
+
+#: C/genius.xml:2441(synopsis)
+#, no-wrap
+msgid "IsDiagonal (M)"
+msgstr "IsDiagonal (M)"
+
+#: C/genius.xml:2442(para)
+msgid "Is a matrix diagonal."
+msgstr ""
+
+#: C/genius.xml:2443(para) C/genius.xml:2590(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Diagonal_matrix\";>Wikipedia</"
+"ulink> or <ulink url=\"http://planetmath.org/encyclopedia/DiagonalMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2452(term)
+msgid "IsIdentity"
+msgstr "IsIdentity"
+
+#: C/genius.xml:2454(synopsis)
+#, no-wrap
+msgid "IsIdentity (x)"
+msgstr "IsIdentity (x)"
+
+#: C/genius.xml:2455(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:2464(term)
+msgid "IsLowerTriangular"
+msgstr "IsLowerTriangular"
+
+#: C/genius.xml:2466(synopsis)
+#, no-wrap
+msgid "IsLowerTriangular (M)"
+msgstr "IsLowerTriangular (M)"
+
+#: C/genius.xml:2467(para)
+msgid ""
+"Is a matrix lower triangular. That is, are all the entries below the "
+"diagonal zero."
+msgstr ""
+
+#: C/genius.xml:2472(term)
+msgid "IsMatrixInteger"
+msgstr "IsMatrixInteger"
+
+#: C/genius.xml:2474(synopsis)
+#, no-wrap
+msgid "IsMatrixInteger (M)"
+msgstr "IsMatrixInteger (M)"
+
+#: C/genius.xml:2475(para)
+msgid "Check if a matrix is a matrix of an integers (non-complex)."
+msgstr ""
+
+#: C/genius.xml:2480(term)
+msgid "IsMatrixNonnegative"
+msgstr "IsMatrixNonnegative"
+
+#: C/genius.xml:2482(synopsis)
+#, no-wrap
+msgid "IsMatrixNonnegative (M)"
+msgstr "IsMatrixNonnegative (M)"
+
+#: C/genius.xml:2483(para)
+msgid ""
+"Check if a matrix is non-negative, that is if each element is non-negative. "
+"Do not confuse positive matrices with positive semi-definite matrices."
+msgstr ""
+
+#: C/genius.xml:2485(para) C/genius.xml:2499(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Positive_matrix\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2493(term)
+msgid "IsMatrixPositive"
+msgstr "IsMatrixPositive"
+
+#: C/genius.xml:2495(synopsis)
+#, no-wrap
+msgid "IsMatrixPositive (M)"
+msgstr "IsMatrixPositive (M)"
+
+#: C/genius.xml:2496(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:2507(term)
+msgid "IsMatrixRational"
+msgstr "IsMatrixRational"
+
+#: C/genius.xml:2509(synopsis)
+#, no-wrap
+msgid "IsMatrixRational (M)"
+msgstr "IsMatrixRational (M)"
+
+#: C/genius.xml:2510(para)
+msgid "Check if a matrix is a matrix of rational (non-complex) numbers."
+msgstr ""
+
+#: C/genius.xml:2516(term)
+msgid "IsMatrixReal"
+msgstr "IsMatrixReal"
+
+#: C/genius.xml:2518(synopsis)
+#, no-wrap
+msgid "IsMatrixReal (M)"
+msgstr "IsMatrixReal (M)"
+
+#: C/genius.xml:2519(para)
+msgid "Check if a matrix is a matrix of real (non-complex) numbers."
+msgstr ""
+
+#: C/genius.xml:2524(term)
+msgid "IsMatrixSquare"
+msgstr "IsMatrixSquare"
+
+#: C/genius.xml:2526(synopsis)
+#, no-wrap
+msgid "IsMatrixSquare (M)"
+msgstr "IsMatrixSquare (M)"
+
+#: C/genius.xml:2527(para)
+msgid "Check if a matrix is square, that is its width is equal to its height."
+msgstr ""
+
+#: C/genius.xml:2535(term)
+msgid "IsUpperTriangular"
+msgstr "IsUpperTriangular"
+
+#: C/genius.xml:2537(synopsis)
+#, no-wrap
+msgid "IsUpperTriangular (M)"
+msgstr "IsUpperTriangular (M)"
+
+#: C/genius.xml:2538(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:2543(term)
+msgid "IsValueOnly"
+msgstr "IsValueOnly"
+
+#: C/genius.xml:2545(synopsis)
+#, no-wrap
+msgid "IsValueOnly (M)"
+msgstr "IsValueOnly (M)"
+
+#: C/genius.xml:2546(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:2552(term)
+msgid "IsVector"
+msgstr "IsVector"
+
+#: C/genius.xml:2554(synopsis)
+#, no-wrap
+msgid "IsVector (v)"
+msgstr "IsVector (v)"
+
+#: C/genius.xml:2555(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:2564(term)
+msgid "IsZero"
+msgstr "IsZero"
+
+#: C/genius.xml:2566(synopsis)
+#, no-wrap
+msgid "IsZero (x)"
+msgstr "IsZero (x)"
+
+#: C/genius.xml:2567(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:2577(term)
+msgid "LowerTriangular"
+msgstr "LowerTriangular"
+
+#: C/genius.xml:2579(synopsis)
+#, no-wrap
+msgid "LowerTriangular (M)"
+msgstr "LowerTriangular (M)"
+
+#: C/genius.xml:2580(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:2585(term)
+msgid "MakeDiagonal"
+msgstr "MakeDiagonal"
+
+#: C/genius.xml:2587(synopsis)
+#, no-wrap
+msgid "MakeDiagonal (v,arg...)"
+msgstr "MakeDiagonal (v,arg...)"
+
+#: C/genius.xml:2588(para)
+msgid "Aliases: <function>diag</function>"
+msgstr ""
+
+#: C/genius.xml:2589(para)
+msgid "Make diagonal matrix from a vector."
+msgstr ""
+
+#: C/genius.xml:2599(term)
+msgid "MakeVector"
+msgstr "MakeVector"
+
+#: C/genius.xml:2601(synopsis)
+#, no-wrap
+msgid "MakeVector (A)"
+msgstr "MakeVector (A)"
+
+#: C/genius.xml:2602(para)
+msgid ""
+"Make column vector out of matrix by putting columns above each other. "
+"Returns null when given null."
+msgstr ""
+
+#: C/genius.xml:2608(term)
+msgid "MatrixProduct"
+msgstr "MatrixProduct"
+
+#: C/genius.xml:2610(synopsis)
+#, no-wrap
+msgid "MatrixProduct (A)"
+msgstr "MatrixProduct (A)"
+
+#: C/genius.xml:2611(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:2620(term)
+msgid "MatrixSum"
+msgstr "MatrixSum"
+
+#: C/genius.xml:2622(synopsis)
+#, no-wrap
+msgid "MatrixSum (A)"
+msgstr "MatrixSum (A)"
+
+#: C/genius.xml:2623(para)
+msgid ""
+"Calculate the sum of all elements in a matrix or vector. That is we add all "
+"the elements and return a number that is the sum of all the elements."
+msgstr ""
+
+#: C/genius.xml:2632(term)
+msgid "MatrixSumSquares"
+msgstr "MatrixSumSquares"
+
+#: C/genius.xml:2634(synopsis)
+#, no-wrap
+msgid "MatrixSumSquares (A)"
+msgstr "MatrixSumSquares (A)"
+
+#: C/genius.xml:2635(para)
+msgid "Calculate the sum of squares of all elements in a matrix or vector."
+msgstr ""
+
+#: C/genius.xml:2641(term)
+msgid "OuterProduct"
+msgstr "OuterProduct"
+
+#: C/genius.xml:2643(synopsis)
+#, no-wrap
+msgid "OuterProduct (u,v)"
+msgstr "OuterProduct (u,v)"
+
+#: C/genius.xml:2644(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:2651(term)
+msgid "ReverseVector"
+msgstr "ReverseVector"
+
+#: C/genius.xml:2653(synopsis)
+#, no-wrap
+msgid "ReverseVector (v)"
+msgstr "ReverseVector (v)"
+
+#: C/genius.xml:2654(para)
+msgid "Reverse elements in a vector."
+msgstr ""
+
+#: C/genius.xml:2659(term)
+msgid "RowSum"
+msgstr "RowSum"
+
+#: C/genius.xml:2661(synopsis)
+#, no-wrap
+msgid "RowSum (m)"
+msgstr "RowSum (m)"
+
+#: C/genius.xml:2662(para)
+msgid ""
+"Calculate sum of each row in a matrix and return a vertical vector with the "
+"result."
+msgstr ""
+
+#: C/genius.xml:2668(term)
+msgid "RowSumSquares"
+msgstr "RowSumSquares"
+
+#: C/genius.xml:2670(synopsis)
+#, no-wrap
+msgid "RowSumSquares (m)"
+msgstr "RowSumSquares (m)"
+
+#: C/genius.xml:2671(para)
+msgid "Calculate sum of squares of each row in a matrix."
+msgstr ""
+
+#: C/genius.xml:2676(term)
+msgid "RowsOf"
+msgstr "RowsOf"
+
+#: C/genius.xml:2678(synopsis)
+#, no-wrap
+msgid "RowsOf (M)"
+msgstr "RowsOf (M)"
+
+#: C/genius.xml:2679(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:2688(term)
+msgid "SetMatrixSize"
+msgstr "SetMatrixSize"
+
+#: C/genius.xml:2690(synopsis)
+#, no-wrap
+msgid "SetMatrixSize (M,rows,columns)"
+msgstr ""
+
+#: C/genius.xml:2691(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:2701(term)
+msgid "SortVector"
+msgstr "SortVector"
+
+#: C/genius.xml:2703(synopsis)
+#, no-wrap
+msgid "SortVector (v)"
+msgstr "SortVector (v)"
+
+#: C/genius.xml:2704(para)
+msgid "Sort vector elements in an increasing order."
+msgstr ""
+
+#: C/genius.xml:2709(term)
+msgid "StripZeroColumns"
+msgstr "StripZeroColumns"
+
+#: C/genius.xml:2711(synopsis)
+#, no-wrap
+msgid "StripZeroColumns (M)"
+msgstr "StripZeroColumns (M)"
+
+#: C/genius.xml:2712(para)
+msgid "Removes any all-zero columns of <varname>M</varname>."
+msgstr ""
+
+#: C/genius.xml:2717(term)
+msgid "StripZeroRows"
+msgstr "StripZeroRows"
+
+#: C/genius.xml:2719(synopsis)
+#, no-wrap
+msgid "StripZeroRows (M)"
+msgstr "StripZeroRows (M)"
+
+#: C/genius.xml:2720(para)
+msgid "Removes any all-zero rows of <varname>M</varname>."
+msgstr ""
+
+#: C/genius.xml:2725(term)
+msgid "Submatrix"
+msgstr "Submatrix"
+
+#: C/genius.xml:2727(synopsis)
+#, no-wrap
+msgid "Submatrix (m,r,c)"
+msgstr "Submatrix (m,r,c)"
+
+#: C/genius.xml:2728(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:2735(term)
+msgid "SwapRows"
+msgstr "SwapRows"
+
+#: C/genius.xml:2737(synopsis)
+#, no-wrap
+msgid "SwapRows (m,row1,row2)"
+msgstr ""
+
+#: C/genius.xml:2738(para)
+msgid "Swap two rows in a matrix."
+msgstr ""
+
+#: C/genius.xml:2743(term)
+msgid "UpperTriangular"
+msgstr "UpperTriangular"
+
+#: C/genius.xml:2745(synopsis)
+#, no-wrap
+msgid "UpperTriangular (M)"
+msgstr "UpperTriangular (M)"
+
+#: C/genius.xml:2746(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:2751(term)
+msgid "columns"
+msgstr "columns"
+
+#: C/genius.xml:2753(synopsis)
+#, no-wrap
+msgid "columns (M)"
+msgstr "columns (M)"
+
+#: C/genius.xml:2754(para)
+msgid "Get the number of columns of a matrix."
+msgstr ""
+
+#: C/genius.xml:2759(term)
+msgid "elements"
+msgstr "elements"
+
+#: C/genius.xml:2761(synopsis)
+#, no-wrap
+msgid "elements (M)"
+msgstr "elements (M)"
+
+#: C/genius.xml:2762(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:2768(term)
+msgid "ones"
+msgstr "ones"
+
+#: C/genius.xml:2770(synopsis)
+#, no-wrap
+msgid "ones (rows,columns...)"
+msgstr ""
+
+#: C/genius.xml:2771(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:2776(term)
+msgid "rows"
+msgstr "rows"
+
+#: C/genius.xml:2778(synopsis)
+#, no-wrap
+msgid "rows (M)"
+msgstr "rows (M)"
+
+#: C/genius.xml:2779(para)
+msgid "Get the number of rows of a matrix."
+msgstr ""
+
+#: C/genius.xml:2784(term)
+msgid "zeros"
+msgstr "zeros"
+
+#: C/genius.xml:2786(synopsis)
+#, no-wrap
+msgid "zeros (rows,columns...)"
+msgstr ""
+
+#: C/genius.xml:2787(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:2798(term)
+msgid "AuxiliaryUnitMatrix"
+msgstr "AuxiliaryUnitMatrix"
+
+#: C/genius.xml:2800(synopsis)
+#, no-wrap
+msgid "AuxiliaryUnitMatrix (n)"
+msgstr "AuxiliaryUnitMatrix (n)"
+
+#: C/genius.xml:2801(para)
+msgid ""
+"Get the auxiliary 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:2803(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:2812(term)
+msgid "BilinearForm"
+msgstr "BilinearForm"
+
+#: C/genius.xml:2814(synopsis)
+#, no-wrap
+msgid "BilinearForm (v,A,w)"
+msgstr "BilinearForm (v,A,w)"
+
+#: C/genius.xml:2815(para)
+msgid "Evaluate (v,w) with respect to the bilinear form given by the matrix A."
+msgstr ""
+
+#: C/genius.xml:2820(term)
+msgid "BilinearFormFunction"
+msgstr "BilinearFormFunction"
+
+#: C/genius.xml:2822(synopsis)
+#, no-wrap
+msgid "BilinearFormFunction (A)"
+msgstr "BilinearFormFunction (A)"
+
+#: C/genius.xml:2823(para)
+msgid ""
+"Return a function that evaluates two vectors with respect to the bilinear "
+"form given by A."
+msgstr ""
+
+#: C/genius.xml:2828(term)
+msgid "CharacteristicPolynomial"
+msgstr "CharacteristicPolynomial"
+
+#: C/genius.xml:2830(synopsis)
+#, no-wrap
+msgid "CharacteristicPolynomial (M)"
+msgstr "CharacteristicPolynomial (M)"
+
+#: C/genius.xml:2831(para)
+msgid "Aliases: <function>CharPoly</function>"
+msgstr ""
+
+#: C/genius.xml:2832(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:2838(para) C/genius.xml:2854(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/CharacteristicEquation.";
+"html\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2846(term)
+msgid "CharacteristicPolynomialFunction"
+msgstr "CharacteristicPolynomialFunction"
+
+#: C/genius.xml:2848(synopsis)
+#, no-wrap
+msgid "CharacteristicPolynomialFunction (M)"
+msgstr "CharacteristicPolynomialFunction (M)"
+
+#: C/genius.xml:2849(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:2862(term)
+msgid "ColumnSpace"
+msgstr "ColumnSpace"
+
+#: C/genius.xml:2864(synopsis)
+#, no-wrap
+msgid "ColumnSpace (M)"
+msgstr "ColumnSpace (M)"
+
+#: C/genius.xml:2865(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:2873(term)
+msgid "CommutationMatrix"
+msgstr "CommutationMatrix"
+
+#: C/genius.xml:2875(synopsis)
+#, no-wrap
+msgid "CommutationMatrix (m, n)"
+msgstr "CommutationMatrix (m, n)"
+
+#: C/genius.xml:2876(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:2883(term)
+msgid "CompanionMatrix"
+msgstr "CompanionMatrix"
+
+#: C/genius.xml:2885(synopsis)
+#, no-wrap
+msgid "CompanionMatrix (p)"
+msgstr "CompanionMatrix (p)"
+
+#: C/genius.xml:2886(para)
+msgid "Companion matrix of a polynomial (as vector)."
+msgstr ""
+
+#: C/genius.xml:2891(term)
+msgid "ConjugateTranspose"
+msgstr "ConjugateTranspose"
+
+#: C/genius.xml:2893(synopsis)
+#, no-wrap
+msgid "ConjugateTranspose (M)"
+msgstr "ConjugateTranspose (M)"
+
+#: C/genius.xml:2894(para)
+msgid ""
+"Conjugate transpose of a matrix (adjoint). This is the same as the "
+"<userinput>'</userinput> operator."
+msgstr ""
+
+#: C/genius.xml:2896(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/ConjugateTranspose.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:2904(term)
+msgid "Convolution"
+msgstr "Convolution"
+
+#: C/genius.xml:2906(synopsis)
+#, no-wrap
+msgid "Convolution (a,b)"
+msgstr "Convolution (a,b)"
+
+#: C/genius.xml:2907(para)
+msgid "Aliases: <function>convol</function>"
+msgstr ""
+
+#: C/genius.xml:2908(para)
+msgid "Calculate convolution of two horizontal vectors."
+msgstr ""
+
+#: C/genius.xml:2913(term)
+msgid "ConvolutionVector"
+msgstr "ConvolutionVector"
+
+#: C/genius.xml:2915(synopsis)
+#, no-wrap
+msgid "ConvolutionVector (a,b)"
+msgstr "ConvolutionVector (a,b)"
+
+#: C/genius.xml:2916(para)
+msgid ""
+"Calculate convolution of two horizontal vectors. Return result as a vector "
+"and not added together."
+msgstr ""
+
+#: C/genius.xml:2922(term)
+msgid "CrossProduct"
+msgstr "CrossProduct"
+
+#: C/genius.xml:2924(synopsis)
+#, no-wrap
+msgid "CrossProduct (v,w)"
+msgstr "CrossProduct (v,w)"
+
+#: C/genius.xml:2925(para)
+msgid ""
+"CrossProduct of two vectors in R<superscript>3</superscript> as a column "
+"vector."
+msgstr ""
+
+#: C/genius.xml:2931(term)
+msgid "DeterminantalDivisorsInteger"
+msgstr "DeterminantalDivisorsInteger"
+
+#: C/genius.xml:2933(synopsis)
+#, no-wrap
+msgid "DeterminantalDivisorsInteger (M)"
+msgstr "DeterminantalDivisorsInteger (M)"
+
+#: C/genius.xml:2934(para)
+msgid ""
+"Get the determinantal divisors of an integer matrix (not its characteristic)."
+msgstr ""
+
+#: C/genius.xml:2939(term)
+msgid "DirectSum"
+msgstr "DirectSum"
+
+#: C/genius.xml:2941(synopsis)
+#, no-wrap
+msgid "DirectSum (M,N...)"
+msgstr "DirectSum (M,N...)"
+
+#: C/genius.xml:2942(para)
+msgid "Direct sum of matrices."
+msgstr ""
+
+#: C/genius.xml:2947(term)
+msgid "DirectSumMatrixVector"
+msgstr "DirectSumMatrixVector"
+
+#: C/genius.xml:2949(synopsis)
+#, no-wrap
+msgid "DirectSumMatrixVector (v)"
+msgstr "DirectSumMatrixVector (v)"
+
+#: C/genius.xml:2950(para)
+msgid "Direct sum of a vector of matrices."
+msgstr ""
+
+#: C/genius.xml:2955(term)
+msgid "Eigenvalues"
+msgstr "Eigenvalues"
+
+#: C/genius.xml:2957(synopsis)
+#, no-wrap
+msgid "Eigenvalues (M)"
+msgstr "Eigenvalues (M)"
+
+#: C/genius.xml:2958(para)
+msgid "Aliases: <function>eig</function>"
+msgstr ""
+
+#: C/genius.xml:2959(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:2964(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:2974(term)
+msgid "Eigenvectors"
+msgstr "Eigenvectors"
+
+#: C/genius.xml:2976(synopsis)
+#, no-wrap
+msgid "Eigenvectors (M)"
+msgstr "Eigenvectors (M)"
+
+#: C/genius.xml:2977(synopsis)
+#, no-wrap
+msgid "Eigenvectors (M, &eigenvalues)"
+msgstr ""
+
+#: C/genius.xml:2978(synopsis)
+#, no-wrap
+msgid "Eigenvectors (M, &eigenvalues, &multiplicities)"
+msgstr ""
+
+#: C/genius.xml:2979(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:2983(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:2993(term)
+msgid "GramSchmidt"
+msgstr "GramSchmidt"
+
+#: C/genius.xml:2995(synopsis)
+#, no-wrap
+msgid "GramSchmidt (v,B...)"
+msgstr "GramSchmidt (v,B...)"
+
+#: C/genius.xml:2996(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:3002(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/";
+"GramSchmidtOrthogonalization.html\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3010(term)
+msgid "HankelMatrix"
+msgstr "HankelMatrix"
+
+#: C/genius.xml:3012(synopsis)
+#, no-wrap
+msgid "HankelMatrix (c,r)"
+msgstr "HankelMatrix (c,r)"
+
+#: C/genius.xml:3013(para)
+msgid "Hankel matrix."
+msgstr "Hankel matrix."
+
+#: C/genius.xml:3018(term)
+msgid "HilbertMatrix"
+msgstr "HilbertMatrix"
+
+#: C/genius.xml:3020(synopsis)
+#, no-wrap
+msgid "HilbertMatrix (n)"
+msgstr "HilbertMatrix (n)"
+
+#: C/genius.xml:3021(para)
+msgid "Hilbert matrix of order <varname>n</varname>."
+msgstr ""
+
+#: C/genius.xml:3022(para) C/genius.xml:3058(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/HilbertMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3030(term)
+msgid "Image"
+msgstr "Image"
+
+#: C/genius.xml:3032(synopsis)
+#, no-wrap
+msgid "Image (T)"
+msgstr "Image (T)"
+
+#: C/genius.xml:3033(para)
+msgid "Get the image (columnspace) of a linear transform."
+msgstr ""
+
+#: C/genius.xml:3038(term)
+msgid "InfNorm"
+msgstr "InfNorm"
+
+#: C/genius.xml:3040(synopsis)
+#, no-wrap
+msgid "InfNorm (v)"
+msgstr "InfNorm (v)"
+
+#: C/genius.xml:3041(para)
+msgid ""
+"Get the Inf Norm of a vector, sometimes called the sup norm or the max norm."
+msgstr ""
+
+#: C/genius.xml:3046(term)
+msgid "InvariantFactorsInteger"
+msgstr "InvariantFactorsInteger"
+
+#: C/genius.xml:3048(synopsis)
+#, no-wrap
+msgid "InvariantFactorsInteger (M)"
+msgstr "InvariantFactorsInteger (M)"
+
+#: C/genius.xml:3049(para)
+msgid ""
+"Get the invariant factors of a square integer matrix (not its "
+"characteristic)."
+msgstr ""
+
+#: C/genius.xml:3054(term)
+msgid "InverseHilbertMatrix"
+msgstr "InverseHilbertMatrix"
+
+#: C/genius.xml:3056(synopsis)
+#, no-wrap
+msgid "InverseHilbertMatrix (n)"
+msgstr "InverseHilbertMatrix (n)"
+
+#: C/genius.xml:3057(para)
+msgid "Inverse Hilbert matrix of order <varname>n</varname>."
+msgstr ""
+
+#: C/genius.xml:3066(term)
+msgid "IsHermitian"
+msgstr "IsHermitian"
+
+#: C/genius.xml:3068(synopsis)
+#, no-wrap
+msgid "IsHermitian (M)"
+msgstr "IsHermitian (M)"
+
+#: C/genius.xml:3069(para)
+msgid "Is a matrix Hermitian. That is, is it equal to its conjugate transpose."
+msgstr ""
+
+#: C/genius.xml:3070(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/HermitianMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3078(term)
+msgid "IsInSubspace"
+msgstr "IsInSubspace"
+
+#: C/genius.xml:3080(synopsis)
+#, no-wrap
+msgid "IsInSubspace (v,W)"
+msgstr "IsInSubspace (v,W)"
+
+#: C/genius.xml:3081(para)
+msgid "Test if a vector is in a subspace."
+msgstr ""
+
+#: C/genius.xml:3086(term)
+msgid "IsInvertible"
+msgstr "IsInvertible"
+
+#: C/genius.xml:3088(synopsis)
+#, no-wrap
+msgid "IsInvertible (n)"
+msgstr "IsInvertible (n)"
+
+#: C/genius.xml:3089(para)
+msgid ""
+"Is a matrix (or number) invertible (Integer matrix is invertible iff it's "
+"invertible over the integers)."
+msgstr ""
+
+#: C/genius.xml:3094(term)
+msgid "IsInvertibleField"
+msgstr "IsInvertibleField"
+
+#: C/genius.xml:3096(synopsis)
+#, no-wrap
+msgid "IsInvertibleField (n)"
+msgstr "IsInvertibleField (n)"
+
+#: C/genius.xml:3097(para)
+msgid "Is a matrix (or number) invertible over a field."
+msgstr ""
+
+#: C/genius.xml:3102(term)
+msgid "IsNormal"
+msgstr "IsNormal"
+
+#: C/genius.xml:3104(synopsis)
+#, no-wrap
+msgid "IsNormal (M)"
+msgstr "IsNormal (M)"
+
+#: C/genius.xml:3105(para)
+msgid ""
+"Is <varname>M</varname> a normal matrix. That is, does <userinput>M*M' == "
+"M'*M</userinput>."
+msgstr ""
+
+#: C/genius.xml:3107(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:3116(term)
+msgid "IsPositiveDefinite"
+msgstr "IsPositiveDefinite"
+
+#: C/genius.xml:3118(synopsis)
+#, no-wrap
+msgid "IsPositiveDefinite (M)"
+msgstr "IsPositiveDefinite (M)"
+
+#: C/genius.xml:3119(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 non-negative determinant. (See <link linkend=\"gel-"
+"function-HermitianProduct\">HermitianProduct</link>)"
+msgstr ""
+
+#: C/genius.xml:3126(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:3134(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:3143(term)
+msgid "IsPositiveSemidefinite"
+msgstr "IsPositiveSemidefinite"
+
+#: C/genius.xml:3145(synopsis)
+#, no-wrap
+msgid "IsPositiveSemidefinite (M)"
+msgstr "IsPositiveSemidefinite (M)"
+
+#: C/genius.xml:3146(para)
+msgid ""
+"Is <varname>M</varname> a Hermitian positive semidefinite matrix. That is if "
+"<userinput>HermitianProduct(M*v,v)</userinput> is always non-negative 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 non-negative determinant. (See <link linkend="
+"\"gel-function-HermitianProduct\">HermitianProduct</link>)"
+msgstr ""
+
+#: C/genius.xml:3153(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:3161(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:3170(term)
+msgid "IsSkewHermitian"
+msgstr "IsSkewHermitian"
+
+#: C/genius.xml:3172(synopsis)
+#, no-wrap
+msgid "IsSkewHermitian (M)"
+msgstr "IsSkewHermitian (M)"
+
+#: C/genius.xml:3173(para)
+msgid ""
+"Is a matrix skew-Hermitian. That is, is the conjugate transpose equal to "
+"negative of the matrix."
+msgstr ""
+
+#: C/genius.xml:3174(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/SkewHermitianMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3182(term)
+msgid "IsUnitary"
+msgstr "IsUnitary"
+
+#: C/genius.xml:3184(synopsis)
+#, no-wrap
+msgid "IsUnitary (M)"
+msgstr "IsUnitary (M)"
+
+#: C/genius.xml:3185(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:3188(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:3197(term)
+msgid "JordanBlock"
+msgstr "JordanBlock"
+
+#: C/genius.xml:3199(synopsis)
+#, no-wrap
+msgid "JordanBlock (n,lambda)"
+msgstr ""
+
+#: C/genius.xml:3200(para)
+msgid "Aliases: <function>J</function>"
+msgstr ""
+
+#: C/genius.xml:3201(para)
+msgid ""
+"Get the Jordan block corresponding to the eigenvalue <varname>lambda</"
+"varname> with multiplicity <varname>n</varname>."
+msgstr ""
+
+#: C/genius.xml:3204(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:3213(term)
+msgid "Kernel"
+msgstr "Kernel"
+
+#: C/genius.xml:3215(synopsis)
+#, no-wrap
+msgid "Kernel (T)"
+msgstr "Kernel (T)"
+
+#: C/genius.xml:3216(para)
+msgid "Get the kernel (nullspace) of a linear transform."
+msgstr ""
+
+#: C/genius.xml:3217(para)
+msgid "(See <link linkend=\"gel-function-NullSpace\">NullSpace</link>)"
+msgstr ""
+
+#: C/genius.xml:3224(term)
+msgid "LUDecomposition"
+msgstr "LUDecomposition"
+
+#: C/genius.xml:3226(synopsis)
+#, no-wrap
+msgid "LUDecomposition (A, L, U)"
+msgstr "LUDecomposition (A, L, U)"
+
+#: C/genius.xml:3227(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></prompt> "
+"<userinput>LUDecomposition(A,&L,&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:3239(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:3247(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:3253(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:3262(term)
+msgid "Minor"
+msgstr "Minor"
+
+#: C/genius.xml:3264(synopsis)
+#, no-wrap
+msgid "Minor (M,i,j)"
+msgstr "Minor (M,i,j)"
+
+#: C/genius.xml:3265(para)
+msgid "Get the <varname>i</varname>-<varname>j</varname> minor of a matrix."
+msgstr ""
+
+#: C/genius.xml:3266(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Minor.html\";>Planetmath</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3274(term)
+msgid "NonPivotColumns"
+msgstr "NonPivotColumns"
+
+#: C/genius.xml:3276(synopsis)
+#, no-wrap
+msgid "NonPivotColumns (M)"
+msgstr "NonPivotColumns (M)"
+
+#: C/genius.xml:3277(para)
+msgid "Return the columns that are not the pivot columns of a matrix."
+msgstr ""
+
+#: C/genius.xml:3282(term)
+msgid "Norm"
+msgstr "Norm"
+
+#: C/genius.xml:3284(synopsis)
+#, no-wrap
+msgid "Norm (v,p...)"
+msgstr "Norm (v,p...)"
+
+#: C/genius.xml:3285(para)
+msgid "Aliases: <function>norm</function>"
+msgstr ""
+
+#: C/genius.xml:3286(para)
+msgid "Get the p Norm (or 2 Norm if no p is supplied) of a vector."
+msgstr ""
+
+#: C/genius.xml:3291(term)
+msgid "NullSpace"
+msgstr "NullSpace"
+
+#: C/genius.xml:3293(synopsis)
+#, no-wrap
+msgid "NullSpace (T)"
+msgstr "NullSpace (T)"
+
+#: C/genius.xml:3294(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:3298(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Nullspace.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3306(term)
+msgid "Nullity"
+msgstr "Nullity"
+
+#: C/genius.xml:3308(synopsis)
+#, no-wrap
+msgid "Nullity (M)"
+msgstr "Nullity (M)"
+
+#: C/genius.xml:3309(para)
+msgid "Aliases: <function>nullity</function>"
+msgstr ""
+
+#: C/genius.xml:3310(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:3312(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Nullity.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3320(term)
+msgid "OrthogonalComplement"
+msgstr "OrthogonalComplement"
+
+#: C/genius.xml:3322(synopsis)
+#, no-wrap
+msgid "OrthogonalComplement (M)"
+msgstr "OrthogonalComplement (M)"
+
+#: C/genius.xml:3323(para)
+msgid "Get the orthogonal complement of the columnspace."
+msgstr ""
+
+#: C/genius.xml:3328(term)
+msgid "PivotColumns"
+msgstr "PivotColumns"
+
+#: C/genius.xml:3330(synopsis)
+#, no-wrap
+msgid "PivotColumns (M)"
+msgstr "PivotColumns (M)"
+
+#: C/genius.xml:3331(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:3336(term)
+msgid "Projection"
+msgstr "Projection"
+
+#: C/genius.xml:3338(synopsis)
+#, no-wrap
+msgid "Projection (v,W,B...)"
+msgstr "Projection (v,W,B...)"
+
+#: C/genius.xml:3339(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:3349(term)
+msgid "QRDecomposition"
+msgstr "QRDecomposition"
+
+#: C/genius.xml:3351(synopsis)
+#, no-wrap
+msgid "QRDecomposition (A, Q)"
+msgstr "QRDecomposition (A, Q)"
+
+#: C/genius.xml:3352(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></prompt> <userinput>R = QRDecomposition(A,&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:3366(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:3375(term)
+msgid "RayleighQuotient"
+msgstr "RayleighQuotient"
+
+#: C/genius.xml:3377(synopsis)
+#, no-wrap
+msgid "RayleighQuotient (A,x)"
+msgstr "RayleighQuotient (A,x)"
+
+#: C/genius.xml:3378(para)
+msgid ""
+"Return the Rayleigh quotient (also called the Rayleigh-Ritz quotient or "
+"ratio) of a matrix and a vector."
+msgstr ""
+
+#: C/genius.xml:3379(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/RayleighQuotient.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3387(term)
+msgid "RayleighQuotientIteration"
+msgstr ""
+
+#: C/genius.xml:3389(synopsis)
+#, no-wrap
+msgid "RayleighQuotientIteration (A,x,epsilon,maxiter,vecref)"
+msgstr ""
+
+#: C/genius.xml:3390(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:3400(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/RayleighQuotient.html";
+"\">Planetmath</ulink> for more information on Rayleigh quotient."
+msgstr ""
+
+#: C/genius.xml:3408(term)
+msgid "Rank"
+msgstr "Rank"
+
+#: C/genius.xml:3410(synopsis)
+#, no-wrap
+msgid "Rank (M)"
+msgstr "Rank (M)"
+
+#: C/genius.xml:3411(para)
+msgid "Aliases: <function>rank</function>"
+msgstr ""
+
+#: C/genius.xml:3412(para)
+msgid "Get the rank of a matrix."
+msgstr ""
+
+#: C/genius.xml:3413(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/SylvestersLaw.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3421(term)
+msgid "RosserMatrix"
+msgstr "RosserMatrix"
+
+#: C/genius.xml:3423(synopsis)
+#, no-wrap
+msgid "RosserMatrix ()"
+msgstr "RosserMatrix ()"
+
+#: C/genius.xml:3424(para)
+msgid "Rosser matrix, a classic symmetric eigenvalue test problem."
+msgstr ""
+
+#: C/genius.xml:3429(term)
+msgid "Rotation2D"
+msgstr "Rotation2D"
+
+#: C/genius.xml:3431(synopsis)
+#, no-wrap
+msgid "Rotation2D (angle)"
+msgstr ""
+
+#: C/genius.xml:3432(para)
+msgid "Aliases: <function>RotationMatrix</function>"
+msgstr ""
+
+#: C/genius.xml:3433(para)
+msgid ""
+"Return the matrix corresponding to rotation around origin in "
+"R<superscript>2</superscript>."
+msgstr ""
+
+#: C/genius.xml:3438(term)
+msgid "Rotation3DX"
+msgstr "Rotation3DX"
+
+#: C/genius.xml:3440(synopsis)
+#, no-wrap
+msgid "Rotation3DX (angle)"
+msgstr ""
+
+#: C/genius.xml:3441(para)
+msgid ""
+"Return the matrix corresponding to rotation around origin in "
+"R<superscript>3</superscript> about the x-axis."
+msgstr ""
+
+#: C/genius.xml:3446(term)
+msgid "Rotation3DY"
+msgstr "Rotation3DY"
+
+#: C/genius.xml:3448(synopsis)
+#, no-wrap
+msgid "Rotation3DY (angle)"
+msgstr ""
+
+#: C/genius.xml:3449(para)
+msgid ""
+"Return the matrix corresponding to rotation around origin in "
+"R<superscript>3</superscript> about the y-axis."
+msgstr ""
+
+#: C/genius.xml:3454(term)
+msgid "Rotation3DZ"
+msgstr "Rotation3DZ"
+
+#: C/genius.xml:3456(synopsis)
+#, no-wrap
+msgid "Rotation3DZ (angle)"
+msgstr ""
+
+#: C/genius.xml:3457(para)
+msgid ""
+"Return the matrix corresponding to rotation around origin in "
+"R<superscript>3</superscript> about the z-axis."
+msgstr ""
+
+#: C/genius.xml:3462(term)
+msgid "RowSpace"
+msgstr "RowSpace"
+
+#: C/genius.xml:3464(synopsis)
+#, no-wrap
+msgid "RowSpace (M)"
+msgstr "RowSpace (M)"
+
+#: C/genius.xml:3465(para)
+msgid "Get a basis matrix for the rowspace of a matrix."
+msgstr ""
+
+#: C/genius.xml:3470(term)
+msgid "SesquilinearForm"
+msgstr "SesquilinearForm"
+
+#: C/genius.xml:3472(synopsis)
+#, no-wrap
+msgid "SesquilinearForm (v,A,w)"
+msgstr "SesquilinearForm (v,A,w)"
+
+#: C/genius.xml:3473(para)
+msgid ""
+"Evaluate (v,w) with respect to the sesquilinear form given by the matrix A."
+msgstr ""
+
+#: C/genius.xml:3478(term)
+msgid "SesquilinearFormFunction"
+msgstr "SesquilinearFormFunction"
+
+#: C/genius.xml:3480(synopsis)
+#, no-wrap
+msgid "SesquilinearFormFunction (A)"
+msgstr "SesquilinearFormFunction (A)"
+
+#: C/genius.xml:3481(para)
+msgid ""
+"Return a function that evaluates two vectors with respect to the "
+"sesquilinear form given by A."
+msgstr ""
+
+#: C/genius.xml:3486(term)
+msgid "SmithNormalFormField"
+msgstr "SmithNormalFormField"
+
+#: C/genius.xml:3488(synopsis)
+#, no-wrap
+msgid "SmithNormalFormField (A)"
+msgstr "SmithNormalFormField (A)"
+
+#: C/genius.xml:3489(para)
+msgid "Smith Normal Form for fields (will end up with 1's on the diagonal)."
+msgstr ""
+
+#: C/genius.xml:3494(term)
+msgid "SmithNormalFormInteger"
+msgstr "SmithNormalFormInteger"
+
+#: C/genius.xml:3496(synopsis)
+#, no-wrap
+msgid "SmithNormalFormInteger (M)"
+msgstr "SmithNormalFormInteger (M)"
+
+#: C/genius.xml:3497(para)
+msgid "Smith Normal Form for square integer matrices (not its characteristic)."
+msgstr ""
+
+#: C/genius.xml:3502(term)
+msgid "SolveLinearSystem"
+msgstr "SolveLinearSystem"
+
+#: C/genius.xml:3504(synopsis)
+#, no-wrap
+msgid "SolveLinearSystem (M,V,args...)"
+msgstr "SolveLinearSystem (M,V,args...)"
+
+#: C/genius.xml:3505(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:3510(term)
+msgid "ToeplitzMatrix"
+msgstr "ToeplitzMatrix"
+
+#: C/genius.xml:3512(synopsis)
+#, no-wrap
+msgid "ToeplitzMatrix (c, r...)"
+msgstr "ToeplitzMatrix (c, r...)"
+
+#: C/genius.xml:3513(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:3517(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/ToeplitzMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3525(term)
+msgid "Trace"
+msgstr "Trace"
+
+#: C/genius.xml:3527(synopsis)
+#, no-wrap
+msgid "Trace (M)"
+msgstr "Trace (M)"
+
+#: C/genius.xml:3528(para)
+msgid "Aliases: <function>trace</function>"
+msgstr ""
+
+#: C/genius.xml:3529(para)
+msgid ""
+"Calculate the trace of a matrix. That is the sum of the diagonal elements."
+msgstr ""
+
+#: C/genius.xml:3530(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Trace.html\";>Planetmath</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3538(term)
+msgid "Transpose"
+msgstr "Transpose"
+
+#: C/genius.xml:3540(synopsis)
+#, no-wrap
+msgid "Transpose (M)"
+msgstr "Transpose (M)"
+
+#: C/genius.xml:3541(para)
+msgid ""
+"Transpose of a matrix. This is the same as the <userinput>.'</userinput> "
+"operator."
+msgstr ""
+
+#: C/genius.xml:3543(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Transpose.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3551(term)
+msgid "VandermondeMatrix"
+msgstr "VandermondeMatrix"
+
+#: C/genius.xml:3553(synopsis)
+#, no-wrap
+msgid "VandermondeMatrix (v)"
+msgstr "VandermondeMatrix (v)"
+
+#: C/genius.xml:3554(para)
+msgid "Aliases: <function>vander</function>"
+msgstr ""
+
+#: C/genius.xml:3555(para)
+msgid "Return the Vandermonde matrix."
+msgstr ""
+
+#: C/genius.xml:3560(term)
+msgid "VectorAngle"
+msgstr "VectorAngle"
+
+#: C/genius.xml:3562(synopsis)
+#, no-wrap
+msgid "VectorAngle (v,w,B...)"
+msgstr "VectorAngle (v,w,B...)"
+
+#: C/genius.xml:3563(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:3572(term)
+msgid "VectorSpaceDirectSum"
+msgstr "VectorSpaceDirectSum"
+
+#: C/genius.xml:3574(synopsis)
+#, no-wrap
+msgid "VectorSpaceDirectSum (M,N)"
+msgstr "VectorSpaceDirectSum (M,N)"
+
+#: C/genius.xml:3575(para)
+msgid "The direct sum of the vector spaces M and N."
+msgstr ""
+
+#: C/genius.xml:3580(term)
+msgid "VectorSubspaceIntersection"
+msgstr "VectorSubspaceIntersection"
+
+#: C/genius.xml:3582(synopsis)
+#, no-wrap
+msgid "VectorSubspaceIntersection (M,N)"
+msgstr "VectorSubspaceIntersection (M,N)"
+
+#: C/genius.xml:3583(para)
+msgid "Intersection of the subspaces given by M and N."
+msgstr ""
+
+#: C/genius.xml:3588(term)
+msgid "VectorSubspaceSum"
+msgstr "VectorSubspaceSum"
+
+#: C/genius.xml:3590(synopsis)
+#, no-wrap
+msgid "VectorSubspaceSum (M,N)"
+msgstr "VectorSubspaceSum (M,N)"
+
+#: C/genius.xml:3591(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:3596(term)
+msgid "adj"
+msgstr "adj"
+
+#: C/genius.xml:3598(synopsis)
+#, no-wrap
+msgid "adj (m)"
+msgstr "adj (m)"
+
+#: C/genius.xml:3599(para)
+msgid "Aliases: <function>Adjugate</function>"
+msgstr ""
+
+#: C/genius.xml:3600(para)
+msgid "Get the classical adjoint (adjugate) of a matrix."
+msgstr ""
+
+#: C/genius.xml:3605(term)
+msgid "cref"
+msgstr "cref"
+
+#: C/genius.xml:3607(synopsis)
+#, no-wrap
+msgid "cref (M)"
+msgstr "cref (M)"
+
+#: C/genius.xml:3608(para)
+msgid ""
+"Aliases: <function>CREF</function><function>ColumnReducedEchelonForm</"
+"function>"
+msgstr ""
+
+#: C/genius.xml:3609(para)
+msgid "Compute the Column Reduced Echelon Form."
+msgstr ""
+
+#: C/genius.xml:3614(term)
+msgid "det"
+msgstr "det"
+
+#: C/genius.xml:3616(synopsis)
+#, no-wrap
+msgid "det (M)"
+msgstr "det (M)"
+
+#: C/genius.xml:3617(para)
+msgid "Aliases: <function>Determinant</function>"
+msgstr ""
+
+#: C/genius.xml:3618(para)
+msgid "Get the determinant of a matrix."
+msgstr ""
+
+#: C/genius.xml:3619(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Determinant\";>Wikipedia</"
+"ulink> or <ulink url=\"http://planetmath.org/encyclopedia/Determinant2.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3628(term)
+msgid "ref"
+msgstr "ref"
+
+#: C/genius.xml:3630(synopsis)
+#, no-wrap
+msgid "ref (M)"
+msgstr "ref (M)"
+
+#: C/genius.xml:3631(para)
+msgid "Aliases: <function>REF</function><function>RowEchelonForm</function>"
+msgstr ""
+
+#: C/genius.xml:3632(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:3635(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Row_echelon_form\";>Wikipedia</"
+"ulink> or <ulink url=\"http://planetmath.org/encyclopedia/RowEchelonForm.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3644(term)
+msgid "rref"
+msgstr "rref"
+
+#: C/genius.xml:3646(synopsis)
+#, no-wrap
+msgid "rref (M)"
+msgstr "rref (M)"
+
+#: C/genius.xml:3647(para)
+msgid ""
+"Aliases: <function>RREF</function><function>ReducedRowEchelonForm</function>"
+msgstr ""
+
+#: C/genius.xml:3648(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:3649(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Reduced_row_echelon_form";
+"\">Wikipedia</ulink> or <ulink url=\"http://planetmath.org/encyclopedia/";
+"ReducedRowEchelonForm.html\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3661(title)
+msgid "Combinatorics"
+msgstr ""
+
+#: C/genius.xml:3664(term)
+msgid "Catalan"
+msgstr "Catalan"
+
+#: C/genius.xml:3666(synopsis)
+#, no-wrap
+msgid "Catalan (n)"
+msgstr "Catalan (n)"
+
+#: C/genius.xml:3667(para)
+msgid "Get <varname>n</varname>'th catalan number."
+msgstr ""
+
+#: C/genius.xml:3668(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/CatalanNumbers.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3676(term)
+msgid "Combinations"
+msgstr "Combinations"
+
+#: C/genius.xml:3678(synopsis)
+#, no-wrap
+msgid "Combinations (k,n)"
+msgstr "Combinations (k,n)"
+
+#: C/genius.xml:3679(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:3686(term)
+msgid "DoubleFactorial"
+msgstr "DoubleFactorial"
+
+#: C/genius.xml:3688(synopsis)
+#, no-wrap
+msgid "DoubleFactorial (n)"
+msgstr "DoubleFactorial (n)"
+
+#: C/genius.xml:3689(para)
+msgid "Double factorial: <userinput>n(n-2)(n-4)...</userinput>"
+msgstr ""
+
+#: C/genius.xml:3690(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/DoubleFactorial.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3698(term)
+msgid "Factorial"
+msgstr "Factorial"
+
+#: C/genius.xml:3700(synopsis)
+#, no-wrap
+msgid "Factorial (n)"
+msgstr "Factorial (n)"
+
+#: C/genius.xml:3701(para)
+msgid "Factorial: <userinput>n(n-1)(n-2)...</userinput>"
+msgstr ""
+
+#: C/genius.xml:3702(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Factorial.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3710(term)
+msgid "FallingFactorial"
+msgstr "FallingFactorial"
+
+#: C/genius.xml:3712(synopsis)
+#, no-wrap
+msgid "FallingFactorial (n,k)"
+msgstr "FallingFactorial (n,k)"
+
+#: C/genius.xml:3713(para)
+msgid "Falling factorial: <userinput>(n)_k = n(n-1)...(n-(k-1))</userinput>"
+msgstr ""
+
+#: C/genius.xml:3714(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/FallingFactorial.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3722(term)
+msgid "Fibonacci"
+msgstr "Fibonacci"
+
+#: C/genius.xml:3724(synopsis)
+#, no-wrap
+msgid "Fibonacci (x)"
+msgstr "Fibonacci (x)"
+
+#: C/genius.xml:3725(para)
+msgid "Aliases: <function>fib</function>"
+msgstr ""
+
+#: C/genius.xml:3726(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:3733(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Fibonacci_number\";>Wikipedia</"
+"ulink> or <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:3743(term)
+msgid "FrobeniusNumber"
+msgstr "FrobeniusNumber"
+
+#: C/genius.xml:3745(synopsis)
+#, no-wrap
+msgid "FrobeniusNumber (v,arg...)"
+msgstr "FrobeniusNumber (v,arg...)"
+
+#: C/genius.xml:3746(para)
+msgid ""
+"Calculate the Frobenius number. That is calculate smallest number that "
+"cannot be given as a non-negative integer linear combination of a given "
+"vector of non-negative 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:3753(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/FrobeniusNumber.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3761(term)
+msgid "GaloisMatrix"
+msgstr "GaloisMatrix"
+
+#: C/genius.xml:3763(synopsis)
+#, no-wrap
+msgid "GaloisMatrix (combining_rule)"
+msgstr ""
+
+#: C/genius.xml:3764(para)
+msgid ""
+"Galois matrix given a linear combining rule (a_1*x_+...+a_n*x_n=x_(n+1))."
+msgstr ""
+
+#: C/genius.xml:3769(term)
+msgid "GreedyAlgorithm"
+msgstr "GreedyAlgorithm"
+
+#: C/genius.xml:3771(synopsis)
+#, no-wrap
+msgid "FrobeniusNumber (n,v)"
+msgstr "FrobeniusNumber (n,v)"
+
+#: C/genius.xml:3772(para)
+msgid ""
+"Find the vector <varname>c</varname> of non-negative 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 non-negative integers."
+msgstr ""
+
+#: C/genius.xml:3779(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/GreedyAlgorithm.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3787(term)
+msgid "HarmonicNumber"
+msgstr "HarmonicNumber"
+
+#: C/genius.xml:3789(synopsis)
+#, no-wrap
+msgid "HarmonicNumber (n,r)"
+msgstr "HarmonicNumber (n,r)"
+
+#: C/genius.xml:3790(para)
+msgid "Aliases: <function>HarmonicH</function>"
+msgstr ""
+
+#: C/genius.xml:3791(para)
+msgid ""
+"Harmonic Number, the <varname>n</varname>'th harmonic number of order "
+"<varname>r</varname>."
+msgstr ""
+
+#: C/genius.xml:3796(term)
+msgid "Hofstadter"
+msgstr "Hofstadter"
+
+#: C/genius.xml:3798(synopsis)
+#, no-wrap
+msgid "Hofstadter (n)"
+msgstr "Hofstadter (n)"
+
+#: C/genius.xml:3799(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:3804(term)
+msgid "LinearRecursiveSequence"
+msgstr ""
+
+#: C/genius.xml:3806(synopsis)
+#, no-wrap
+msgid "LinearRecursiveSequence (seed_values,combining_rule,n)"
+msgstr ""
+
+#: C/genius.xml:3807(para)
+msgid "Compute linear recursive sequence using galois stepping."
+msgstr ""
+
+#: C/genius.xml:3812(term)
+msgid "Multinomial"
+msgstr "Multinomial"
+
+#: C/genius.xml:3814(synopsis)
+#, no-wrap
+msgid "Multinomial (v,arg...)"
+msgstr "Multinomial (v,arg...)"
+
+#: C/genius.xml:3815(para)
+msgid ""
+"Calculate multinomial coefficients. Takes a vector of <varname>k</varname> "
+"non-negative 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:3824(programlisting)
+#, no-wrap
+msgid "(a+b+c)! / (a!b!c!)\n"
+msgstr "(a+b+c)! / (a!b!c!)\n"
+
+#: C/genius.xml:3821(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:3831(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:3841(term)
+msgid "NextCombination"
+msgstr "NextCombination"
+
+#: C/genius.xml:3843(synopsis)
+#, no-wrap
+msgid "NextCombination (v,n)"
+msgstr "NextCombination (v,n)"
+
+#: C/genius.xml:3844(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:3849(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:3867(term)
+msgid "Pascal"
+msgstr "Pascal"
+
+#: C/genius.xml:3869(synopsis)
+#, no-wrap
+msgid "Pascal (i)"
+msgstr "Pascal (i)"
+
+#: C/genius.xml:3870(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:3874(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/PascalsTriangle.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3882(term)
+msgid "Permutations"
+msgstr "Permutations"
+
+#: C/genius.xml:3884(synopsis)
+#, no-wrap
+msgid "Permutations (k,n)"
+msgstr "Permutations (k,n)"
+
+#: C/genius.xml:3885(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:3886(para) C/genius.xml:3975(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:3895(term)
+msgid "RisingFactorial"
+msgstr "RisingFactorial"
+
+#: C/genius.xml:3897(synopsis)
+#, no-wrap
+msgid "RisingFactorial (n,k)"
+msgstr "RisingFactorial (n,k)"
+
+#: C/genius.xml:3898(para)
+msgid "Aliases: <function>Pochhammer</function>"
+msgstr ""
+
+#: C/genius.xml:3899(para)
+msgid "(Pochhammer) Rising factorial: (n)_k = n(n+1)...(n+(k-1))."
+msgstr ""
+
+#: C/genius.xml:3900(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/RisingFactorial.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3908(term)
+msgid "StirlingNumberFirst"
+msgstr "StirlingNumberFirst"
+
+#: C/genius.xml:3910(synopsis)
+#, no-wrap
+msgid "StirlingNumberFirst (n,m)"
+msgstr "StirlingNumberFirst (n,m)"
+
+#: C/genius.xml:3911(para)
+msgid "Aliases: <function>StirlingS1</function>"
+msgstr ""
+
+#: C/genius.xml:3912(para)
+msgid "Stirling number of the first kind."
+msgstr ""
+
+#: C/genius.xml:3913(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:3922(term)
+msgid "StirlingNumberSecond"
+msgstr "StirlingNumberSecond"
+
+#: C/genius.xml:3924(synopsis)
+#, no-wrap
+msgid "StirlingNumberSecond (n,m)"
+msgstr "StirlingNumberSecond (n,m)"
+
+#: C/genius.xml:3925(para)
+msgid "Aliases: <function>StirlingS2</function>"
+msgstr ""
+
+#: C/genius.xml:3926(para)
+msgid "Stirling number of the second kind."
+msgstr ""
+
+#: C/genius.xml:3927(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:3936(term)
+msgid "Subfactorial"
+msgstr "Subfactorial"
+
+#: C/genius.xml:3938(synopsis)
+#, no-wrap
+msgid "Subfactorial (n)"
+msgstr "Subfactorial (n)"
+
+#: C/genius.xml:3939(para)
+msgid "Subfactorial: n! times sum_{k=1}^n (-1)^k/k!."
+msgstr "Subfactorial: n! times sum_{k=1}^n (-1)^k/k!."
+
+#: C/genius.xml:3944(term)
+msgid "Triangular"
+msgstr "Triangular"
+
+#: C/genius.xml:3946(synopsis)
+#, no-wrap
+msgid "Triangular (nth)"
+msgstr "Triangular (nth)"
+
+#: C/genius.xml:3947(para)
+msgid "Calculate the <varname>n</varname>'th triangular number."
+msgstr ""
+
+#: C/genius.xml:3948(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/TriangularNumbers.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3956(term)
+msgid "nCr"
+msgstr "nCr"
+
+#: C/genius.xml:3958(synopsis)
+#, no-wrap
+msgid "nCr (n,r)"
+msgstr "nCr (n,r)"
+
+#: C/genius.xml:3959(para)
+msgid "Aliases: <function>Binomial</function>"
+msgstr ""
+
+#: C/genius.xml:3960(para)
+msgid ""
+"Calculate combinations, that is, the binomial coefficient. <varname>n</"
+"varname> can be any real number."
+msgstr ""
+
+#: C/genius.xml:3962(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Choose.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3970(term)
+msgid "nPr"
+msgstr "nPr"
+
+#: C/genius.xml:3972(synopsis)
+#, no-wrap
+msgid "nPr (n,r)"
+msgstr "nPr (n,r)"
+
+#: C/genius.xml:3973(para)
+msgid ""
+"Calculate the number of permutations of size <varname>r</varname>of numbers "
+"from 1 to <varname>n</varname>."
+msgstr ""
+
+#: C/genius.xml:3987(title)
+msgid "Calculus"
+msgstr ""
+
+#: C/genius.xml:3990(term)
+msgid "CompositeSimpsonsRule"
+msgstr "CompositeSimpsonsRule"
+
+#: C/genius.xml:3992(synopsis)
+#, no-wrap
+msgid "CompositeSimpsonsRule (f,a,b,n)"
+msgstr "CompositeSimpsonsRule (f,a,b,n)"
+
+#: C/genius.xml:3993(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:3994(para) C/genius.xml:4006(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/SimpsonsRule.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4002(term)
+msgid "CompositeSimpsonsRuleTolerance"
+msgstr "CompositeSimpsonsRuleTolerance"
+
+#: C/genius.xml:4004(synopsis)
+#, no-wrap
+msgid "CompositeSimpsonsRuleTolerance (f,a,b,FourthDerivativeBound,Tolerance)"
+msgstr ""
+
+#: C/genius.xml:4005(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:4014(term)
+msgid "Derivative"
+msgstr "Derivative"
+
+#: C/genius.xml:4016(synopsis)
+#, no-wrap
+msgid "Derivative (f,x0)"
+msgstr "Derivative (f,x0)"
+
+#: C/genius.xml:4017(para)
+msgid ""
+"Attempt to calculate derivative by trying first symbolically and then "
+"numerically."
+msgstr ""
+
+#: C/genius.xml:4022(term)
+msgid "EvenPeriodicExtension"
+msgstr "EvenPeriodicExtension"
+
+#: C/genius.xml:4024(synopsis)
+#, no-wrap
+msgid "EvenPeriodicExtension (f,L)"
+msgstr "EvenPeriodicExtension (f,L)"
+
+#: C/genius.xml:4025(para)
+msgid ""
+"Return a function which is even periodic extension of <function>f</function> "
+"with half period <varname>L</varname>. That is a function defined on the "
+"interval <userinput>[0,L]</userinput> extended to be even on <userinput>[-L,"
+"L]</userinput> and then extended to be periodic with period <userinput>2*L</"
+"userinput>."
+msgstr ""
+
+#: C/genius.xml:4030(para)
+msgid ""
+"See also <link linkend=\"gel-function-OddPeriodicExtension"
+"\">OddPeriodicExtension</link> and <link linkend=\"gel-function-"
+"PeriodicExtension\">PeriodicExtension</link>."
+msgstr ""
+
+#: C/genius.xml:4040(term)
+msgid "FourierSeriesFunction"
+msgstr "FourierSeriesFunction"
+
+#: C/genius.xml:4042(synopsis)
+#, no-wrap
+msgid "FourierSeriesFunction (a,b,L)"
+msgstr "FourierSeriesFunction (a,b,L)"
+
+#: C/genius.xml:4043(para)
+msgid ""
+"Return a function which is a Fourier series with the coefficients given by "
+"the vectors <varname>a</varname> (sines) and <varname>b</varname> (cosines). "
+"Note that <userinput>a@(1)</userinput> is the constant coefficient! That is, "
+"<userinput>a@(n)</userinput> refers to the term <userinput>cos(x*(n-1)*pi/L)"
+"</userinput>, while <userinput>b@(n)</userinput> refers to the term "
+"<userinput>sin(x*n*pi/L)</userinput>. Either <varname>a</varname> or "
+"<varname>b</varname> can be <constant>null</constant>."
+msgstr ""
+
+#: C/genius.xml:4051(para) C/genius.xml:4153(para) C/genius.xml:4172(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Fourier_series\";>Wikipedia</"
+"ulink> or <ulink url=\"http://mathworld.wolfram.com/FourierSeries.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4060(term)
+msgid "InfiniteProduct"
+msgstr "InfiniteProduct"
+
+#: C/genius.xml:4062(synopsis)
+#, no-wrap
+msgid "InfiniteProduct (func,start,inc)"
+msgstr ""
+
+#: C/genius.xml:4063(para)
+msgid "Try to calculate an infinite product for a single parameter function."
+msgstr ""
+
+#: C/genius.xml:4068(term)
+msgid "InfiniteProduct2"
+msgstr "InfiniteProduct2"
+
+#: C/genius.xml:4070(synopsis)
+#, no-wrap
+msgid "InfiniteProduct2 (func,arg,start,inc)"
+msgstr ""
+
+#: C/genius.xml:4071(para)
+msgid ""
+"Try to calculate an infinite product for a double parameter function with "
+"func(arg,n)."
+msgstr ""
+
+#: C/genius.xml:4076(term)
+msgid "InfiniteSum"
+msgstr "InfiniteSum"
+
+#: C/genius.xml:4078(synopsis)
+#, no-wrap
+msgid "InfiniteSum (func,start,inc)"
+msgstr ""
+
+#: C/genius.xml:4079(para)
+msgid "Try to calculate an infinite sum for a single parameter function."
+msgstr ""
+
+#: C/genius.xml:4084(term)
+msgid "InfiniteSum2"
+msgstr "InfiniteSum2"
+
+#: C/genius.xml:4086(synopsis)
+#, no-wrap
+msgid "InfiniteSum2 (func,arg,start,inc)"
+msgstr ""
+
+#: C/genius.xml:4087(para)
+msgid ""
+"Try to calculate an infinite sum for a double parameter function with func"
+"(arg,n)."
+msgstr ""
+
+#: C/genius.xml:4092(term)
+msgid "IsContinuous"
+msgstr "IsContinuous"
+
+#: C/genius.xml:4094(synopsis)
+#, no-wrap
+msgid "IsContinuous (f,x0)"
+msgstr "IsContinuous (f,x0)"
+
+#: C/genius.xml:4095(para)
+msgid ""
+"Try and see if a real-valued function is continuous at x0 by calculating the "
+"limit there."
+msgstr ""
+
+#: C/genius.xml:4100(term)
+msgid "IsDifferentiable"
+msgstr "IsDifferentiable"
+
+#: C/genius.xml:4102(synopsis)
+#, no-wrap
+msgid "IsDifferentiable (f,x0)"
+msgstr "IsDifferentiable (f,x0)"
+
+#: C/genius.xml:4103(para)
+msgid ""
+"Test for differentiability by approximating the left and right limits and "
+"comparing."
+msgstr ""
+
+#: C/genius.xml:4108(term)
+msgid "LeftLimit"
+msgstr "LeftLimit"
+
+#: C/genius.xml:4110(synopsis)
+#, no-wrap
+msgid "LeftLimit (f,x0)"
+msgstr "LeftLimit (f,x0)"
+
+#: C/genius.xml:4111(para)
+msgid "Calculate the left limit of a real-valued function at x0."
+msgstr ""
+
+#: C/genius.xml:4116(term)
+msgid "Limit"
+msgstr "Limit"
+
+#: C/genius.xml:4118(synopsis)
+#, no-wrap
+msgid "Limit (f,x0)"
+msgstr "Limit (f,x0)"
+
+#: C/genius.xml:4119(para)
+msgid ""
+"Calculate the limit of a real-valued function at x0. Tries to calculate both "
+"left and right limits."
+msgstr ""
+
+#: C/genius.xml:4124(term)
+msgid "MidpointRule"
+msgstr "MidpointRule"
+
+#: C/genius.xml:4126(synopsis)
+#, no-wrap
+msgid "MidpointRule (f,a,b,n)"
+msgstr "MidpointRule (f,a,b,n)"
+
+#: C/genius.xml:4127(para)
+msgid "Integration by midpoint rule."
+msgstr ""
+
+#: C/genius.xml:4132(term)
+msgid "NumericalDerivative"
+msgstr "NumericalDerivative"
+
+#: C/genius.xml:4134(synopsis)
+#, no-wrap
+msgid "NumericalDerivative (f,x0)"
+msgstr "NumericalDerivative (f,x0)"
+
+#: C/genius.xml:4135(para)
+msgid "Aliases: <function>NDerivative</function>"
+msgstr ""
+
+#: C/genius.xml:4136(para)
+msgid "Attempt to calculate numerical derivative."
+msgstr ""
+
+#: C/genius.xml:4141(term)
+msgid "NumericalFourierSeriesCoefficients"
+msgstr "NumericalFourierSeriesCoefficients"
+
+#: C/genius.xml:4143(synopsis)
+#, no-wrap
+msgid "NumericalFourierSeriesCoefficients (f,L,N)"
+msgstr "NumericalFourierSeriesCoefficients (f,L,N)"
+
+#: C/genius.xml:4144(para)
+msgid ""
+"Return a vector of vectors <userinput>[a,b]</userinput> where <varname>a</"
+"varname> are the cosine coefficients and <varname>b</varname> are the sine "
+"coefficients of the Fourier series of <function>f</function> with half-"
+"period <varname>L</varname> (that is defined on <userinput>[-L,L]</"
+"userinput> and extended periodically) with coefficients up to <varname>N</"
+"varname>th harmonic computed numerically. The coefficients are computed by "
+"numerical integration using <function>NumericalIntegral</function>."
+msgstr ""
+
+#: C/genius.xml:4162(term)
+msgid "NumericalFourierSeriesFunction"
+msgstr "NumericalFourierSeriesFunction"
+
+#: C/genius.xml:4164(synopsis)
+#, no-wrap
+msgid "NumericalFourierSeriesFunction (f,L,N)"
+msgstr "NumericalFourierSeriesFunction (f,L,N)"
+
+#: C/genius.xml:4165(para)
+msgid ""
+"Return a function which is the Fourier series of <function>f</function> with "
+"half-period <varname>L</varname> (that is defined on <userinput>[-L,L]</"
+"userinput> and extended periodically) with coefficients up to <varname>N</"
+"varname>th harmonic computed numerically. This is the trigonometric real "
+"series composed of sines and cosines. The coefficients are computed by "
+"numerical integration using <function>NumericalIntegral</function>."
+msgstr ""
+
+#: C/genius.xml:4181(term)
+msgid "NumericalFourierCosineSeriesCoefficients"
+msgstr "NumericalFourierCosineSeriesCoefficients"
+
+#: C/genius.xml:4183(synopsis)
+#, no-wrap
+msgid "NumericalFourierCosineSeriesCoefficients (f,L,N)"
+msgstr "NumericalFourierCosineSeriesCoefficients (f,L,N)"
+
+#: C/genius.xml:4184(para)
+msgid ""
+"Return a vector of coefficients of the the cosine Fourier series of "
+"<function>f</function> with half-period <varname>L</varname>. That is, we "
+"take <function>f</function> defined on <userinput>[0,L]</userinput> take the "
+"even periodic extension and compute the Fourier series, which only has sine "
+"terms. The series is computed up to the <varname>N</varname>th harmonic. The "
+"coefficients are computed by numerical integration using "
+"<function>NumericalIntegral</function>. Note that <userinput>a@(1)</"
+"userinput> is the constant coefficient! That is, <userinput>a@(n)</"
+"userinput> refers to the term <userinput>cos(x*(n-1)*pi/L)</userinput>."
+msgstr ""
+
+#: C/genius.xml:4196(para) C/genius.xml:4216(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Fourier_series\";>Wikipedia</"
+"ulink> or <ulink url=\"http://mathworld.wolfram.com/FourierCosineSeries.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4205(term)
+msgid "NumericalFourierCosineSeriesFunction"
+msgstr "NumericalFourierCosineSeriesFunction"
+
+#: C/genius.xml:4207(synopsis)
+#, no-wrap
+msgid "NumericalFourierCosineSeriesFunction (f,L,N)"
+msgstr "NumericalFourierCosineSeriesFunction (f,L,N)"
+
+#: C/genius.xml:4208(para)
+msgid ""
+"Return a function which is the cosine Fourier series of <function>f</"
+"function> with half-period <varname>L</varname>. That is, we take "
+"<function>f</function> defined on <userinput>[0,L]</userinput> take the even "
+"periodic extension and compute the Fourier series, which only has cosine "
+"terms. The series is computed up to the <varname>N</varname>th harmonic. The "
+"coefficients are computed by numerical integration using "
+"<function>NumericalIntegral</function>."
+msgstr ""
+
+#: C/genius.xml:4225(term)
+msgid "NumericalFourierSineSeriesCoefficients"
+msgstr "NumericalFourierSineSeriesCoefficients"
+
+#: C/genius.xml:4227(synopsis)
+#, no-wrap
+msgid "NumericalFourierSineSeriesCoefficients (f,L,N)"
+msgstr "NumericalFourierSineSeriesCoefficients (f,L,N)"
+
+#: C/genius.xml:4228(para)
+msgid ""
+"Return a vector of coefficients of the the sine Fourier series of "
+"<function>f</function> with half-period <varname>L</varname>. That is, we "
+"take <function>f</function> defined on <userinput>[0,L]</userinput> take the "
+"odd periodic extension and compute the Fourier series, which only has sine "
+"terms. The series is computed up to the <varname>N</varname>th harmonic. The "
+"coefficients are computed by numerical integration using "
+"<function>NumericalIntegral</function>."
+msgstr ""
+
+#: C/genius.xml:4237(para) C/genius.xml:4257(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Fourier_series\";>Wikipedia</"
+"ulink> or <ulink url=\"http://mathworld.wolfram.com/FourierSineSeries.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4246(term)
+msgid "NumericalFourierSineSeriesFunction"
+msgstr "NumericalFourierSineSeriesFunction"
+
+#: C/genius.xml:4248(synopsis)
+#, no-wrap
+msgid "NumericalFourierSineSeriesFunction (f,L,N)"
+msgstr "NumericalFourierSineSeriesFunction (f,L,N)"
+
+#: C/genius.xml:4249(para)
+msgid ""
+"Return a function which is the sine Fourier series of <function>f</function> "
+"with half-period <varname>L</varname>. That is, we take <function>f</"
+"function> defined on <userinput>[0,L]</userinput> take the odd periodic "
+"extension and compute the Fourier series, which only has sine terms. The "
+"series is computed up to the <varname>N</varname>th harmonic. The "
+"coefficients are computed by numerical integration using "
+"<function>NumericalIntegral</function>."
+msgstr ""
+
+#: C/genius.xml:4266(term)
+msgid "NumericalIntegral"
+msgstr "NumericalIntegral"
+
+#: C/genius.xml:4268(synopsis)
+#, no-wrap
+msgid "NumericalIntegral (f,a,b)"
+msgstr "NumericalIntegral (f,a,b)"
+
+#: C/genius.xml:4269(para)
+msgid ""
+"Integration by rule set in NumericalIntegralFunction of f from a to b using "
+"NumericalIntegralSteps steps."
+msgstr ""
+
+#: C/genius.xml:4274(term)
+msgid "NumericalLeftDerivative"
+msgstr "NumericalLeftDerivative"
+
+#: C/genius.xml:4276(synopsis)
+#, no-wrap
+msgid "NumericalLeftDerivative (f,x0)"
+msgstr "NumericalLeftDerivative (f,x0)"
+
+#: C/genius.xml:4277(para)
+msgid "Attempt to calculate numerical left derivative."
+msgstr ""
+
+#: C/genius.xml:4282(term)
+msgid "NumericalLimitAtInfinity"
+msgstr "NumericalLimitAtInfinity"
+
+#: C/genius.xml:4284(synopsis)
+#, no-wrap
+msgid "NumericalLimitAtInfinity (_f,step_fun,tolerance,successive_for_success,N)"
+msgstr ""
+
+#: C/genius.xml:4285(para)
+msgid "Attempt to calculate the limit of f(step_fun(i)) as i goes from 1 to N."
+msgstr ""
+
+#: C/genius.xml:4290(term)
+msgid "NumericalRightDerivative"
+msgstr "NumericalRightDerivative"
+
+#: C/genius.xml:4292(synopsis)
+#, no-wrap
+msgid "NumericalRightDerivative (f,x0)"
+msgstr "NumericalRightDerivative (f,x0)"
+
+#: C/genius.xml:4293(para)
+msgid "Attempt to calculate numerical right derivative."
+msgstr ""
+
+#: C/genius.xml:4298(term)
+msgid "OddPeriodicExtension"
+msgstr "OddPeriodicExtension"
+
+#: C/genius.xml:4300(synopsis)
+#, no-wrap
+msgid "OddPeriodicExtension (f,L)"
+msgstr "OddPeriodicExtension (f,L)"
+
+#: C/genius.xml:4301(para)
+msgid ""
+"Return a function which is odd periodic extension of <function>f</function> "
+"with half period <varname>L</varname>. That is a function defined on the "
+"interval <userinput>[0,L]</userinput> extended to be odd on <userinput>[-L,L]"
+"</userinput> and then extended to be periodic with period <userinput>2*L</"
+"userinput>."
+msgstr ""
+
+#: C/genius.xml:4306(para)
+msgid ""
+"See also <link linkend=\"gel-function-EvenPeriodicExtension"
+"\">EvenPeriodicExtension</link> and <link linkend=\"gel-function-"
+"PeriodicExtension\">PeriodicExtension</link>."
+msgstr ""
+
+#: C/genius.xml:4316(term)
+msgid "OneSidedFivePointFormula"
+msgstr "OneSidedFivePointFormula"
+
+#: C/genius.xml:4318(synopsis)
+#, no-wrap
+msgid "OneSidedFivePointFormula (f,x0,h)"
+msgstr "OneSidedFivePointFormula (f,x0,h)"
+
+#: C/genius.xml:4319(para)
+msgid "Compute one-sided derivative using five point formula."
+msgstr ""
+
+#: C/genius.xml:4324(term)
+msgid "OneSidedThreePointFormula"
+msgstr "OneSidedThreePointFormula"
+
+#: C/genius.xml:4326(synopsis)
+#, no-wrap
+msgid "OneSidedThreePointFormula (f,x0,h)"
+msgstr "OneSidedThreePointFormula (f,x0,h)"
+
+#: C/genius.xml:4327(para)
+msgid "Compute one-sided derivative using three-point formula."
+msgstr ""
+
+#: C/genius.xml:4332(term)
+msgid "PeriodicExtension"
+msgstr "PeriodicExtension"
+
+#: C/genius.xml:4334(synopsis)
+#, no-wrap
+msgid "PeriodicExtension (f,a,b)"
+msgstr "PeriodicExtension (f,a,b)"
+
+#: C/genius.xml:4335(para)
+msgid ""
+"Return a function which is the periodic extension of <function>f</function> "
+"defined on the interval <userinput>[a,b]</userinput> and has period "
+"<userinput>b-a</userinput>."
+msgstr ""
+
+#: C/genius.xml:4338(para)
+msgid ""
+"See also <link linkend=\"gel-function-OddPeriodicExtension"
+"\">OddPeriodicExtension</link> and <link linkend=\"gel-function-"
+"EvenPeriodicExtension\">EvenPeriodicExtension</link>."
+msgstr ""
+
+#: C/genius.xml:4348(term)
+msgid "RightLimit"
+msgstr "RightLimit"
+
+#: C/genius.xml:4350(synopsis)
+#, no-wrap
+msgid "RightLimit (f,x0)"
+msgstr "RightLimit (f,x0)"
+
+#: C/genius.xml:4351(para)
+msgid "Calculate the right limit of a real-valued function at x0."
+msgstr ""
+
+#: C/genius.xml:4356(term)
+msgid "TwoSidedFivePointFormula"
+msgstr "TwoSidedFivePointFormula"
+
+#: C/genius.xml:4358(synopsis)
+#, no-wrap
+msgid "TwoSidedFivePointFormula (f,x0,h)"
+msgstr "TwoSidedFivePointFormula (f,x0,h)"
+
+#: C/genius.xml:4359(para)
+msgid "Compute two-sided derivative using five-point formula."
+msgstr ""
+
+#: C/genius.xml:4364(term)
+msgid "TwoSidedThreePointFormula"
+msgstr "TwoSidedThreePointFormula"
+
+#: C/genius.xml:4366(synopsis)
+#, no-wrap
+msgid "TwoSidedThreePointFormula (f,x0,h)"
+msgstr "TwoSidedThreePointFormula (f,x0,h)"
+
+#: C/genius.xml:4367(para)
+msgid "Compute two-sided derivative using three-point formula."
+msgstr ""
+
+#: C/genius.xml:4375(title)
+msgid "Functions"
+msgstr ""
+
+#: C/genius.xml:4378(term)
+msgid "Argument"
+msgstr "Argument"
+
+#: C/genius.xml:4380(synopsis)
+#, no-wrap
+msgid "Argument (z)"
+msgstr "Argument (z)"
+
+#: C/genius.xml:4381(para)
+msgid "Aliases: <function>Arg</function><function>arg</function>"
+msgstr ""
+
+#: C/genius.xml:4382(para)
+msgid "argument (angle) of complex number."
+msgstr ""
+
+#: C/genius.xml:4387(term)
+msgid "DirichletKernel"
+msgstr "DirichletKernel"
+
+#: C/genius.xml:4389(synopsis)
+#, no-wrap
+msgid "DirichletKernel (n,t)"
+msgstr "DirichletKernel (n,t)"
+
+#: C/genius.xml:4390(para)
+msgid "Dirichlet kernel of order n."
+msgstr ""
+
+#: C/genius.xml:4395(term)
+msgid "DiscreteDelta"
+msgstr "DiscreteDelta"
+
+#: C/genius.xml:4397(synopsis)
+#, no-wrap
+msgid "DiscreteDelta (v)"
+msgstr "DiscreteDelta (v)"
+
+#: C/genius.xml:4398(para)
+msgid "Returns 1 iff all elements are zero."
+msgstr ""
+
+#: C/genius.xml:4403(term)
+msgid "ErrorFunction"
+msgstr "ErrorFunction"
+
+#: C/genius.xml:4405(synopsis)
+#, no-wrap
+msgid "ErrorFunction (x)"
+msgstr "ErrorFunction (x)"
+
+#: C/genius.xml:4406(para)
+msgid "Aliases: <function>erf</function>"
+msgstr ""
+
+#: C/genius.xml:4407(para)
+msgid "The error function, 2/sqrt(pi) * int_0^x e^(-t^2) dt."
+msgstr ""
+
+#: C/genius.xml:4408(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/ErrorFunction.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4416(term)
+msgid "FejerKernel"
+msgstr "FejerKernel"
+
+#: C/genius.xml:4418(synopsis)
+#, no-wrap
+msgid "FejerKernel (n,t)"
+msgstr "FejerKernel (n,t)"
+
+#: C/genius.xml:4419(para)
+msgid ""
+"Fejer kernel of order <varname>n</varname> evaluated at <varname>t</varname>"
+msgstr ""
+
+#: C/genius.xml:4421(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/FejerKernel.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4429(term)
+msgid "GammaFunction"
+msgstr "GammaFunction"
+
+#: C/genius.xml:4431(synopsis)
+#, no-wrap
+msgid "GammaFunction (x)"
+msgstr "GammaFunction (x)"
+
+#: C/genius.xml:4432(para)
+msgid "Aliases: <function>Gamma</function>"
+msgstr ""
+
+#: C/genius.xml:4433(para)
+msgid "The Gamma function. Currently only implemented for real values."
+msgstr ""
+
+#: C/genius.xml:4434(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/GammaFunction.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4442(term)
+msgid "KroneckerDelta"
+msgstr "KroneckerDelta"
+
+#: C/genius.xml:4444(synopsis)
+#, no-wrap
+msgid "KroneckerDelta (v)"
+msgstr "KroneckerDelta (v)"
+
+#: C/genius.xml:4445(para)
+msgid "Returns 1 iff all elements are equal."
+msgstr ""
+
+#: C/genius.xml:4450(term)
+msgid "MinimizeFunction"
+msgstr "MinimizeFunction"
+
+#: C/genius.xml:4452(synopsis)
+#, no-wrap
+msgid "MinimizeFunction (func,x,incr)"
+msgstr ""
+
+#: C/genius.xml:4453(para)
+msgid "Find the first value where f(x)=0."
+msgstr ""
+
+#: C/genius.xml:4458(term)
+msgid "MoebiusDiskMapping"
+msgstr "MoebiusDiskMapping"
+
+#: C/genius.xml:4460(synopsis)
+#, no-wrap
+msgid "MoebiusDiskMapping (a,z)"
+msgstr "MoebiusDiskMapping (a,z)"
+
+#: C/genius.xml:4461(para)
+msgid "Moebius mapping of the disk to itself mapping a to 0."
+msgstr ""
+
+#: C/genius.xml:4462(para) C/genius.xml:4474(para) C/genius.xml:4486(para)
+#: C/genius.xml:4498(para) C/genius.xml:4510(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/MobiusTransformation.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4470(term)
+msgid "MoebiusMapping"
+msgstr "MoebiusMapping"
+
+#: C/genius.xml:4472(synopsis)
+#, no-wrap
+msgid "MoebiusMapping (z,z2,z3,z4)"
+msgstr "MoebiusMapping (z,z2,z3,z4)"
+
+#: C/genius.xml:4473(para)
+msgid ""
+"Moebius mapping using the cross ratio taking z2,z3,z4 to 1,0, and infinity "
+"respectively."
+msgstr ""
+
+#: C/genius.xml:4482(term)
+msgid "MoebiusMappingInftyToInfty"
+msgstr "MoebiusMappingInftyToInfty"
+
+#: C/genius.xml:4484(synopsis)
+#, no-wrap
+msgid "MoebiusMappingInftyToInfty (z,z2,z3)"
+msgstr "MoebiusMappingInftyToInfty (z,z2,z3)"
+
+#: C/genius.xml:4485(para)
+msgid ""
+"Moebius mapping using the cross ratio taking infinity to infinity and z2,z3 "
+"to 1 and 0 respectively."
+msgstr ""
+
+#: C/genius.xml:4494(term)
+msgid "MoebiusMappingInftyToOne"
+msgstr "MoebiusMappingInftyToOne"
+
+#: C/genius.xml:4496(synopsis)
+#, no-wrap
+msgid "MoebiusMappingInftyToOne (z,z3,z4)"
+msgstr "MoebiusMappingInftyToOne (z,z3,z4)"
+
+#: C/genius.xml:4497(para)
+msgid ""
+"Moebius mapping using the cross ratio taking infinity to 1 and z3,z4 to 0 "
+"and infinity respectively."
+msgstr ""
+
+#: C/genius.xml:4506(term)
+msgid "MoebiusMappingInftyToZero"
+msgstr "MoebiusMappingInftyToZero"
+
+#: C/genius.xml:4508(synopsis)
+#, no-wrap
+msgid "MoebiusMappingInftyToZero (z,z2,z4)"
+msgstr "MoebiusMappingInftyToZero (z,z2,z4)"
+
+#: C/genius.xml:4509(para)
+msgid ""
+"Moebius mapping using the cross ratio taking infinity to 0 and z2,z4 to 1 "
+"and infinity respectively."
+msgstr ""
+
+#: C/genius.xml:4518(term)
+msgid "PoissonKernel"
+msgstr "PoissonKernel"
+
+#: C/genius.xml:4520(synopsis)
+#, no-wrap
+msgid "PoissonKernel (r,sigma)"
+msgstr "PoissonKernel (r,sigma)"
+
+#: C/genius.xml:4521(para)
+msgid ""
+"Poisson kernel on D(0,1) (not normalized to 1, that is integral of this is "
+"2pi)."
+msgstr ""
+
+#: C/genius.xml:4526(term)
+msgid "PoissonKernelRadius"
+msgstr "PoissonKernelRadius"
+
+#: C/genius.xml:4528(synopsis)
+#, no-wrap
+msgid "PoissonKernelRadius (r,sigma)"
+msgstr "PoissonKernelRadius (r,sigma)"
+
+#: C/genius.xml:4529(para)
+msgid "Poisson kernel on D(0,R) (not normalized to 1)."
+msgstr ""
+
+#: C/genius.xml:4534(term)
+msgid "RiemannZeta"
+msgstr "RiemannZeta"
+
+#: C/genius.xml:4536(synopsis)
+#, no-wrap
+msgid "RiemannZeta (x)"
+msgstr "RiemannZeta (x)"
+
+#: C/genius.xml:4537(para)
+msgid "Aliases: <function>zeta</function>"
+msgstr ""
+
+#: C/genius.xml:4538(para)
+msgid "The Riemann zeta function. Currently only implemented for real values."
+msgstr ""
+
+#: C/genius.xml:4539(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/RiemannZetaFunction.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4547(term)
+msgid "UnitStep"
+msgstr "UnitStep"
+
+#: C/genius.xml:4549(synopsis)
+#, no-wrap
+msgid "UnitStep (x)"
+msgstr "UnitStep (x)"
+
+#: C/genius.xml:4550(para)
+msgid ""
+"The unit step function is 0 for x<0, 1 otherwise. This is the integral of "
+"the Dirac Delta function. Also called the Heaviside function."
+msgstr ""
+
+#: C/genius.xml:4551(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Unit_step\";>Wikipedia</ulink> "
+"for more information."
+msgstr ""
+
+#: C/genius.xml:4559(term)
+msgid "cis"
+msgstr "cis"
+
+#: C/genius.xml:4561(synopsis)
+#, no-wrap
+msgid "cis (x)"
+msgstr "cis (x)"
+
+#: C/genius.xml:4562(para)
+msgid ""
+"The <function>cis</function> function, that is the same as <userinput>cos(x)"
+"+1i*sin(x)</userinput>"
+msgstr ""
+
+#: C/genius.xml:4570(term)
+msgid "deg2rad"
+msgstr "deg2rad"
+
+#: C/genius.xml:4572(synopsis)
+#, no-wrap
+msgid "deg2rad (x)"
+msgstr "deg2rad (x)"
+
+#: C/genius.xml:4573(para)
+msgid "Convert degrees to radians."
+msgstr ""
+
+#: C/genius.xml:4578(term)
+msgid "rad2deg"
+msgstr "rad2deg"
+
+#: C/genius.xml:4580(synopsis)
+#, no-wrap
+msgid "rad2deg (x)"
+msgstr "rad2deg (x)"
+
+#: C/genius.xml:4581(para)
+msgid "Convert radians to degrees."
+msgstr ""
+
+#: C/genius.xml:4589(title)
+msgid "Equation Solving"
+msgstr ""
+
+#: C/genius.xml:4593(term)
+msgid "CubicFormula"
+msgstr "CubicFormula"
+
+#: C/genius.xml:4595(synopsis)
+#, no-wrap
+msgid "CubicFormula (p)"
+msgstr "CubicFormula (p)"
+
+#: C/genius.xml:4596(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:4605(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:4615(term)
+msgid "EulersMethod"
+msgstr "EulersMethod"
+
+#: C/genius.xml:4617(synopsis)
+#, no-wrap
+msgid "EulersMethod (f,x0,y0,x1,n)"
+msgstr "EulersMethod (f,x0,y0,x1,n)"
+
+#: C/genius.xml:4618(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:4624(para) C/genius.xml:4652(para) C/genius.xml:4781(para)
+#: C/genius.xml:4811(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:4631(para) C/genius.xml:4659(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:4640(term)
+msgid "EulersMethodFull"
+msgstr "EulersMethodFull"
+
+#: C/genius.xml:4642(synopsis)
+#, no-wrap
+msgid "EulersMethodFull (f,x0,y0,x1,n)"
+msgstr "EulersMethodFull (f,x0,y0,x1,n)"
+
+#: C/genius.xml:4643(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 a 2 by <userinput>n+1</"
+"userinput> matrix with the <varname>x</varname> and <varname>y</varname> "
+"values. Suitable for plugging into <link linkend=\"gel-function-"
+"LinePlotDrawLine\">LinePlotDrawLine</link>."
+msgstr ""
+
+#: C/genius.xml:4668(term)
+msgid "FindRootBisection"
+msgstr "FindRootBisection"
+
+#: C/genius.xml:4670(synopsis)
+#, no-wrap
+msgid "FindRootBisection (f,a,b,TOL,N)"
+msgstr "FindRootBisection (f,a,b,TOL,N)"
+
+#: C/genius.xml:4671(para)
+msgid ""
+"Find root of a function using the bisection method. <varname>TOL</varname> "
+"is the desired tolerance and <varname>N</varname> is the limit on the number "
+"of iterations to run, 0 means no limit. The function returns a vector "
+"<userinput>[success,value,iteration]</userinput>, where <varname>success</"
+"varname> is a boolean indicating success, <varname>value</varname> is the "
+"last value computed, and <varname>iteration</varname> is the number of "
+"iterations done."
+msgstr ""
+
+#: C/genius.xml:4678(term)
+msgid "FindRootFalsePosition"
+msgstr "FindRootFalsePosition"
+
+#: C/genius.xml:4680(synopsis)
+#, no-wrap
+msgid "FindRootFalsePosition (f,a,b,TOL,N)"
+msgstr "FindRootFalsePosition (f,a,b,TOL,N)"
+
+#: C/genius.xml:4681(para)
+msgid ""
+"Find root of a function using the method of false position. <varname>TOL</"
+"varname> is the desired tolerance and <varname>N</varname> is the limit on "
+"the number of iterations to run, 0 means no limit. The function returns a "
+"vector <userinput>[success,value,iteration]</userinput>, where "
+"<varname>success</varname> is a boolean indicating success, <varname>value</"
+"varname> is the last value computed, and <varname>iteration</varname> is the "
+"number of iterations done."
+msgstr ""
+
+#: C/genius.xml:4688(term)
+msgid "FindRootMullersMethod"
+msgstr "FindRootMullersMethod"
+
+#: C/genius.xml:4690(synopsis)
+#, no-wrap
+msgid "FindRootMullersMethod (f,x1,x2,x3,TOL,N)"
+msgstr "FindRootMullersMethod (f,x1,x2,x3,TOL,N)"
+
+#: C/genius.xml:4691(para)
+msgid ""
+"Find root of a function using the Muller's method. <varname>TOL</varname> is "
+"the desired tolerance and <varname>N</varname> is the limit on the number of "
+"iterations to run, 0 means no limit. The function returns a vector "
+"<userinput>[success,value,iteration]</userinput>, where <varname>success</"
+"varname> is a boolean indicating success, <varname>value</varname> is the "
+"last value computed, and <varname>iteration</varname> is the number of "
+"iterations done."
+msgstr ""
+
+#: C/genius.xml:4698(term)
+msgid "FindRootSecant"
+msgstr "FindRootSecant"
+
+#: C/genius.xml:4700(synopsis)
+#, no-wrap
+msgid "FindRootSecant (f,a,b,TOL,N)"
+msgstr "FindRootSecant (f,a,b,TOL,N)"
+
+#: C/genius.xml:4701(para)
+msgid ""
+"Find root of a function using the secant method. <varname>TOL</varname> is "
+"the desired tolerance and <varname>N</varname> is the limit on the number of "
+"iterations to run, 0 means no limit. The function returns a vector "
+"<userinput>[success,value,iteration]</userinput>, where <varname>success</"
+"varname> is a boolean indicating success, <varname>value</varname> is the "
+"last value computed, and <varname>iteration</varname> is the number of "
+"iterations done."
+msgstr ""
+
+#: C/genius.xml:4708(term)
+msgid "PolynomialRoots"
+msgstr "PolynomialRoots"
+
+#: C/genius.xml:4710(synopsis)
+#, no-wrap
+msgid "PolynomialRoots (p)"
+msgstr "PolynomialRoots (p)"
+
+#: C/genius.xml:4711(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:4720(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:4730(term)
+msgid "QuadraticFormula"
+msgstr "QuadraticFormula"
+
+#: C/genius.xml:4732(synopsis)
+#, no-wrap
+msgid "QuadraticFormula (p)"
+msgstr "QuadraticFormula (p)"
+
+#: C/genius.xml:4733(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:4741(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:4750(term)
+msgid "QuarticFormula"
+msgstr "QuarticFormula"
+
+#: C/genius.xml:4752(synopsis)
+#, no-wrap
+msgid "QuarticFormula (p)"
+msgstr "QuarticFormula (p)"
+
+#: C/genius.xml:4753(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:4761(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:4771(term)
+msgid "RungeKutta"
+msgstr "RungeKutta"
+
+#: C/genius.xml:4773(synopsis)
+#, no-wrap
+msgid "RungeKutta (f,x0,y0,x1,n)"
+msgstr "RungeKutta (f,x0,y0,x1,n)"
+
+#: C/genius.xml:4774(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:4788(para) C/genius.xml:4818(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:4797(term)
+msgid "RungeKuttaFull"
+msgstr "RungeKuttaFull"
+
+#: C/genius.xml:4799(synopsis)
+#, no-wrap
+msgid "RungeKuttaFull (f,x0,y0,x1,n)"
+msgstr "RungeKuttaFull (f,x0,y0,x1,n)"
+
+#: C/genius.xml:4800(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 "
+"a 2 by <userinput>n+1</userinput> matrix with the <varname>x</varname> and "
+"<varname>y</varname> values. Suitable for plugging into <link linkend=\"gel-"
+"function-LinePlotDrawLine\">LinePlotDrawLine</link>."
+msgstr ""
+
+#: C/genius.xml:4831(title)
+msgid "Statistics"
+msgstr ""
+
+#: C/genius.xml:4834(term)
+msgid "Average"
+msgstr "Average"
+
+#: C/genius.xml:4836(synopsis)
+#, no-wrap
+msgid "Average (m)"
+msgstr "Average (m)"
+
+#: C/genius.xml:4837(para)
+msgid ""
+"Aliases: <function>average</function><function>Mean</"
+"function><function>mean</function>"
+msgstr ""
+
+#: C/genius.xml:4838(para)
+msgid "Calculate average of an entire matrix."
+msgstr ""
+
+#: C/genius.xml:4839(para) C/genius.xml:4899(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/ArithmeticMean.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4847(term)
+msgid "GaussDistribution"
+msgstr "GaussDistribution"
+
+#: C/genius.xml:4849(synopsis)
+#, no-wrap
+msgid "GaussDistribution (x,sigma)"
+msgstr "GaussDistribution (x,sigma)"
+
+#: C/genius.xml:4850(para)
+msgid ""
+"Integral of the GaussFunction from 0 to <varname>x</varname> (area under the "
+"normal curve)."
+msgstr ""
+
+#: C/genius.xml:4851(para) C/genius.xml:4863(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/NormalDistribution.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4859(term)
+msgid "GaussFunction"
+msgstr "GaussFunction"
+
+#: C/genius.xml:4861(synopsis)
+#, no-wrap
+msgid "GaussFunction (x,sigma)"
+msgstr "GaussFunction (x,sigma)"
+
+#: C/genius.xml:4862(para)
+msgid "The normalized Gauss distribution function (the normal curve)."
+msgstr ""
+
+#: C/genius.xml:4872(term)
+msgid "Median"
+msgstr "Median"
+
+#: C/genius.xml:4874(synopsis)
+#, no-wrap
+msgid "Median (m)"
+msgstr "Median (m)"
+
+#: C/genius.xml:4875(para)
+msgid "Aliases: <function>median</function>"
+msgstr ""
+
+#: C/genius.xml:4876(para)
+msgid "Calculate median of an entire matrix."
+msgstr ""
+
+#: C/genius.xml:4877(para) C/genius.xml:4912(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/StatisticalMedian.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4885(term)
+msgid "PopulationStandardDeviation"
+msgstr "PopulationStandardDeviation"
+
+#: C/genius.xml:4887(synopsis)
+#, no-wrap
+msgid "PopulationStandardDeviation (m)"
+msgstr "PopulationStandardDeviation (m)"
+
+#: C/genius.xml:4888(para)
+msgid "Aliases: <function>stdevp</function>"
+msgstr ""
+
+#: C/genius.xml:4889(para)
+msgid "Calculate the population standard deviation of a whole matrix."
+msgstr ""
+
+#: C/genius.xml:4894(term)
+msgid "RowAverage"
+msgstr "RowAverage"
+
+#: C/genius.xml:4896(synopsis)
+#, no-wrap
+msgid "RowAverage (m)"
+msgstr "RowAverage (m)"
+
+#: C/genius.xml:4897(para)
+msgid "Aliases: <function>RowMean</function>"
+msgstr ""
+
+#: C/genius.xml:4898(para)
+msgid "Calculate average of each row in a matrix."
+msgstr ""
+
+#: C/genius.xml:4907(term)
+msgid "RowMedian"
+msgstr "RowMedian"
+
+#: C/genius.xml:4909(synopsis)
+#, no-wrap
+msgid "RowMedian (m)"
+msgstr "RowMedian (m)"
+
+#: C/genius.xml:4910(para)
+msgid ""
+"Calculate median of each row in a matrix and return a column vector of the "
+"medians."
+msgstr ""
+
+#: C/genius.xml:4920(term)
+msgid "RowPopulationStandardDeviation"
+msgstr "RowPopulationStandardDeviation"
+
+#: C/genius.xml:4922(synopsis)
+#, no-wrap
+msgid "RowPopulationStandardDeviation (m)"
+msgstr "RowPopulationStandardDeviation (m)"
+
+#: C/genius.xml:4923(para)
+msgid "Aliases: <function>rowstdevp</function>"
+msgstr ""
+
+#: C/genius.xml:4924(para)
+msgid ""
+"Calculate the population standard deviations of rows of a matrix and return "
+"a vertical vector."
+msgstr ""
+
+#: C/genius.xml:4929(term)
+msgid "RowStandardDeviation"
+msgstr "RowStandardDeviation"
+
+#: C/genius.xml:4931(synopsis)
+#, no-wrap
+msgid "RowStandardDeviation (m)"
+msgstr "RowStandardDeviation (m)"
+
+#: C/genius.xml:4932(para)
+msgid "Aliases: <function>rowstdev</function>"
+msgstr ""
+
+#: C/genius.xml:4933(para)
+msgid ""
+"Calculate the standard deviations of rows of a matrix and return a vertical "
+"vector."
+msgstr ""
+
+#: C/genius.xml:4938(term)
+msgid "StandardDeviation"
+msgstr "StandardDeviation"
+
+#: C/genius.xml:4940(synopsis)
+#, no-wrap
+msgid "StandardDeviation (m)"
+msgstr "StandardDeviation (m)"
+
+#: C/genius.xml:4941(para)
+msgid "Aliases: <function>stdev</function>"
+msgstr ""
+
+#: C/genius.xml:4942(para)
+msgid "Calculate the standard deviation of a whole matrix."
+msgstr ""
+
+#: C/genius.xml:4950(title)
+msgid "Polynomials"
+msgstr ""
+
+#: C/genius.xml:4953(term)
+msgid "AddPoly"
+msgstr "AddPoly"
+
+#: C/genius.xml:4955(synopsis)
+#, no-wrap
+msgid "AddPoly (p1,p2)"
+msgstr "AddPoly (p1,p2)"
+
+#: C/genius.xml:4956(para)
+msgid "Add two polynomials (vectors)."
+msgstr ""
+
+#: C/genius.xml:4961(term)
+msgid "DividePoly"
+msgstr "DividePoly"
+
+#: C/genius.xml:4963(synopsis)
+#, no-wrap
+msgid "DividePoly (p,q,&r)"
+msgstr "DividePoly (p,q,&r)"
+
+#: C/genius.xml:4964(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:4969(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/PolynomialLongDivision.";
+"html\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4977(term)
+msgid "IsPoly"
+msgstr "IsPoly"
+
+#: C/genius.xml:4979(synopsis)
+#, no-wrap
+msgid "IsPoly (p)"
+msgstr "IsPoly (p)"
+
+#: C/genius.xml:4980(para)
+msgid "Check if a vector is usable as a polynomial."
+msgstr ""
+
+#: C/genius.xml:4985(term)
+msgid "MultiplyPoly"
+msgstr "MultiplyPoly"
+
+#: C/genius.xml:4987(synopsis)
+#, no-wrap
+msgid "MultiplyPoly (p1,p2)"
+msgstr "MultiplyPoly (p1,p2)"
+
+#: C/genius.xml:4988(para)
+msgid "Multiply two polynomials (as vectors)."
+msgstr ""
+
+#: C/genius.xml:4993(term)
+msgid "NewtonsMethodPoly"
+msgstr "NewtonsMethodPoly"
+
+#: C/genius.xml:4995(synopsis)
+#, no-wrap
+msgid "NewtonsMethodPoly (poly,guess,epsilon,maxn)"
+msgstr ""
+
+#: C/genius.xml:4996(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:5001(term)
+msgid "Poly2ndDerivative"
+msgstr "Poly2ndDerivative"
+
+#: C/genius.xml:5003(synopsis)
+#, no-wrap
+msgid "Poly2ndDerivative (p)"
+msgstr "Poly2ndDerivative (p)"
+
+#: C/genius.xml:5004(para)
+msgid "Take second polynomial (as vector) derivative."
+msgstr ""
+
+#: C/genius.xml:5009(term)
+msgid "PolyDerivative"
+msgstr "PolyDerivative"
+
+#: C/genius.xml:5011(synopsis)
+#, no-wrap
+msgid "PolyDerivative (p)"
+msgstr "PolyDerivative (p)"
+
+#: C/genius.xml:5012(para)
+msgid "Take polynomial (as vector) derivative."
+msgstr ""
+
+#: C/genius.xml:5017(term)
+msgid "PolyToFunction"
+msgstr "PolyToFunction"
+
+#: C/genius.xml:5019(synopsis)
+#, no-wrap
+msgid "PolyToFunction (p)"
+msgstr "PolyToFunction (p)"
+
+#: C/genius.xml:5020(para)
+msgid "Make function out of a polynomial (as vector)."
+msgstr ""
+
+#: C/genius.xml:5025(term)
+msgid "PolyToString"
+msgstr "PolyToString"
+
+#: C/genius.xml:5027(synopsis)
+#, no-wrap
+msgid "PolyToString (p,var...)"
+msgstr "PolyToString (p,var...)"
+
+#: C/genius.xml:5028(para)
+msgid "Make string out of a polynomial (as vector)."
+msgstr ""
+
+#: C/genius.xml:5033(term)
+msgid "SubtractPoly"
+msgstr "SubtractPoly"
+
+#: C/genius.xml:5035(synopsis)
+#, no-wrap
+msgid "SubtractPoly (p1,p2)"
+msgstr "SubtractPoly (p1,p2)"
+
+#: C/genius.xml:5036(para)
+msgid "Subtract two polynomials (as vectors)."
+msgstr ""
+
+#: C/genius.xml:5041(term)
+msgid "TrimPoly"
+msgstr "TrimPoly"
+
+#: C/genius.xml:5043(synopsis)
+#, no-wrap
+msgid "TrimPoly (p)"
+msgstr "TrimPoly (p)"
+
+#: C/genius.xml:5044(para)
+msgid "Trim zeros from a polynomial (as vector)."
+msgstr ""
+
+#: C/genius.xml:5052(title)
+msgid "Set Theory"
+msgstr ""
+
+#: C/genius.xml:5055(term)
+msgid "Intersection"
+msgstr "Intersection"
+
+#: C/genius.xml:5057(synopsis)
+#, no-wrap
+msgid "Intersection (X,Y)"
+msgstr "Intersection (X,Y)"
+
+#: C/genius.xml:5058(para)
+msgid ""
+"Returns a set theoretic intersection of X and Y (X and Y are vectors "
+"pretending to be sets)."
+msgstr ""
+
+#: C/genius.xml:5063(term)
+msgid "IsIn"
+msgstr "IsIn"
+
+#: C/genius.xml:5065(synopsis)
+#, no-wrap
+msgid "IsIn (x,X)"
+msgstr "IsIn (x,X)"
+
+#: C/genius.xml:5066(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:5071(term)
+msgid "IsSubset"
+msgstr "IsSubset"
+
+#: C/genius.xml:5073(synopsis)
+#, no-wrap
+msgid "IsSubset (X, Y)"
+msgstr "IsSubset (X, Y)"
+
+#: C/genius.xml:5074(para)
+msgid ""
+"Returns true if X is a subset of Y (X and Y are vectors pretending to be "
+"sets)."
+msgstr ""
+
+#: C/genius.xml:5079(term)
+msgid "MakeSet"
+msgstr "MakeSet"
+
+#: C/genius.xml:5081(synopsis)
+#, no-wrap
+msgid "MakeSet (X)"
+msgstr "MakeSet (X)"
+
+#: C/genius.xml:5082(para)
+msgid "Returns a vector where every element of X appears only once."
+msgstr ""
+
+#: C/genius.xml:5087(term)
+msgid "SetMinus"
+msgstr "SetMinus"
+
+#: C/genius.xml:5089(synopsis)
+#, no-wrap
+msgid "SetMinus (X,Y)"
+msgstr "SetMinus (X,Y)"
+
+#: C/genius.xml:5090(para)
+msgid ""
+"Returns a set theoretic difference X-Y (X and Y are vectors pretending to be "
+"sets)."
+msgstr ""
+
+#: C/genius.xml:5095(term)
+msgid "Union"
+msgstr "Union"
+
+#: C/genius.xml:5097(synopsis)
+#, no-wrap
+msgid "Union (X,Y)"
+msgstr "Union (X,Y)"
+
+#: C/genius.xml:5098(para)
+msgid ""
+"Returns a set theoretic union of X and Y (X and Y are vectors pretending to "
+"be sets)."
+msgstr ""
+
+#: C/genius.xml:5106(title)
+msgid "Miscellaneous"
+msgstr ""
+
+#: C/genius.xml:5109(term)
+msgid "ASCIIToString"
+msgstr "ASCIIToString"
+
+#: C/genius.xml:5111(synopsis)
+#, no-wrap
+msgid "ASCIIToString (vec)"
+msgstr ""
+
+#: C/genius.xml:5112(para)
+msgid "Convert a vector of ASCII values to a string."
+msgstr ""
+
+#: C/genius.xml:5117(term)
+msgid "AlphabetToString"
+msgstr "AlphabetToString"
+
+#: C/genius.xml:5119(synopsis)
+#, no-wrap
+msgid "AlphabetToString (vec,alphabet)"
+msgstr ""
+
+#: C/genius.xml:5120(para)
+msgid ""
+"Convert a vector of 0-based alphabet values (positions in the alphabet "
+"string) to a string."
+msgstr ""
+
+#: C/genius.xml:5125(term)
+msgid "StringToASCII"
+msgstr "StringToASCII"
+
+#: C/genius.xml:5127(synopsis)
+#, no-wrap
+msgid "StringToASCII (str)"
+msgstr ""
+
+#: C/genius.xml:5128(para)
+msgid "Convert a string to a vector of ASCII values."
+msgstr ""
+
+#: C/genius.xml:5133(term)
+msgid "StringToAlphabet"
+msgstr "StringToAlphabet"
+
+#: C/genius.xml:5135(synopsis)
+#, no-wrap
+msgid "StringToAlphabet (str,alphabet)"
+msgstr ""
+
+#: C/genius.xml:5136(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:5144(title)
+msgid "Symbolic Operations"
+msgstr ""
+
+#: C/genius.xml:5147(term)
+msgid "SymbolicDerivative"
+msgstr "SymbolicDerivative"
+
+#: C/genius.xml:5149(synopsis)
+#, no-wrap
+msgid "SymbolicDerivative (f)"
+msgstr "SymbolicDerivative (f)"
+
+#: C/genius.xml:5150(para)
+msgid ""
+"Attempt to symbolically differentiate the function f, where f is a function "
+"of one variable."
+msgstr ""
+
+#: C/genius.xml:5151(para)
+msgid ""
+"Examples: <screen><prompt>genius></prompt> <userinput>SymbolicDerivative"
+"(sin)</userinput>\n"
+"= (`(x)=cos(x))\n"
+"<prompt>genius></prompt> <userinput>SymbolicDerivative(`(x)=7*x^2)</"
+"userinput>\n"
+"= (`(x)=(7*(2*x)))\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:5163(term)
+msgid "SymbolicDerivativeTry"
+msgstr "SymbolicDerivativeTry"
+
+#: C/genius.xml:5165(synopsis)
+#, no-wrap
+msgid "SymbolicDerivativeTry (f)"
+msgstr "SymbolicDerivativeTry (f)"
+
+#: C/genius.xml:5166(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:5173(term)
+msgid "SymbolicNthDerivative"
+msgstr "SymbolicNthDerivative"
+
+#: C/genius.xml:5175(synopsis)
+#, no-wrap
+msgid "SymbolicNthDerivative (f,n)"
+msgstr "SymbolicNthDerivative (f,n)"
+
+#: C/genius.xml:5176(para)
+msgid ""
+"Attempt to symbolically differentiate a function n times. (See <link linkend="
+"\"gel-function-SymbolicDerivative\"><function>SymbolicDerivative</function></"
+"link>)"
+msgstr ""
+
+#: C/genius.xml:5183(term)
+msgid "SymbolicNthDerivativeTry"
+msgstr "SymbolicNthDerivativeTry"
+
+#: C/genius.xml:5185(synopsis)
+#, no-wrap
+msgid "SymbolicNthDerivativeTry (f,n)"
+msgstr "SymbolicNthDerivativeTry (f,n)"
+
+#: C/genius.xml:5186(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:5193(term)
+msgid "SymbolicTaylorApproximationFunction"
+msgstr "SymbolicTaylorApproximationFunction"
+
+#: C/genius.xml:5195(synopsis)
+#, no-wrap
+msgid "SymbolicTaylorApproximationFunction (f,x0,n)"
+msgstr "SymbolicTaylorApproximationFunction (f,x0,n)"
+
+#: C/genius.xml:5196(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:5208(term)
+msgid "LinePlot"
+msgstr "LinePlot"
+
+#: C/genius.xml:5210(synopsis)
+#, no-wrap
+msgid "LinePlot (func1,func2,func3,...)"
+msgstr ""
+
+#: C/genius.xml:5211(synopsis)
+#, no-wrap
+msgid "LinePlot (func1,func2,func3,x1,x2,y1,y2)"
+msgstr ""
+
+#: C/genius.xml:5212(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:5221(para) C/genius.xml:5305(para) C/genius.xml:5330(para)
+#: C/genius.xml:5383(para) C/genius.xml:5474(para)
+msgid ""
+"The parameter <link linkend=\"gel-function-LinePlotDrawLegends"
+"\"><function>LinePlotDrawLegends</function></link> controls the drawing of "
+"the legend."
+msgstr ""
+
+#: C/genius.xml:5226(para)
+msgid ""
+"Examples: <screen><prompt>genius></prompt> <userinput>LinePlot(sin,cos)</"
+"userinput>\n"
+"<prompt>genius></prompt> <userinput>LinePlot(`(x)=x^2,-1,1,0,1)</"
+"userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:5236(term)
+msgid "LinePlotClear"
+msgstr "LinePlotClear"
+
+#: C/genius.xml:5238(synopsis)
+#, no-wrap
+msgid "LinePlotClear ()"
+msgstr "LinePlotClear ()"
+
+#: C/genius.xml:5239(para)
+msgid ""
+"Show the line plot window and clear out functions and any other lines that "
+"were drawn."
+msgstr ""
+
+#: C/genius.xml:5247(term)
+msgid "LinePlotDrawLine"
+msgstr "LinePlotDrawLine"
+
+#: C/genius.xml:5249(synopsis)
+#, no-wrap
+msgid "LinePlotDrawLine (x1,y1,x2,y2,...)"
+msgstr "LinePlotDrawLine (x1,y1,x2,y2,...)"
+
+#: C/genius.xml:5250(synopsis)
+#, no-wrap
+msgid "LinePlotDrawLine (v,...)"
+msgstr "LinePlotDrawLine (v,...)"
+
+#: C/genius.xml:5251(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:5258(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. Finally, the legend can be specified by adding <userinput>\"legend"
+"\"</userinput> and the string with the legend."
+msgstr ""
+
+#: C/genius.xml:5278(para)
+msgid ""
+"Examples: <screen><prompt>genius></prompt> <userinput>LinePlotDrawLine"
+"(0,0,1,1,\"color\",\"blue\",\"thickness\",3)</userinput>\n"
+"<prompt>genius></prompt> <userinput>LinePlotDrawLine([0,0;1,-1;-1,-1])</"
+"userinput>\n"
+"<prompt>genius></prompt> <userinput>LinePlotDrawLine([0,0;1,1],\"arrow\","
+"\"end\")</userinput>\n"
+"<prompt>genius></prompt> <userinput>LinePlotDrawLine(EulersMethodFull(`(x,"
+"y)=y,0,3,100),\"color\",\"blue\",\"legend\",\"The Solution\")</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:5290(term)
+msgid "LinePlotParametric"
+msgstr "LinePlotParametric"
+
+#: C/genius.xml:5292(synopsis)
+#, no-wrap
+msgid "LinePlotParametric (xfunc,yfunc,...)"
+msgstr ""
+
+#: C/genius.xml:5293(synopsis)
+#, no-wrap
+msgid "LinePlotParametric (xfunc,yfunc,t1,t2,tinc)"
+msgstr ""
+
+#: C/genius.xml:5294(synopsis)
+#, no-wrap
+msgid "LinePlotParametric (xfunc,yfunc,t1,t2,tinc,x1,x2,y1,y2)"
+msgstr ""
+
+#: C/genius.xml:5295(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:5300(para) C/genius.xml:5325(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:5314(term)
+msgid "LinePlotCParametric"
+msgstr "LinePlotCParametric"
+
+#: C/genius.xml:5316(synopsis)
+#, no-wrap
+msgid "LinePlotCParametric (func,...)"
+msgstr ""
+
+#: C/genius.xml:5317(synopsis)
+#, no-wrap
+msgid "LinePlotCParametric (func,t1,t2,tinc)"
+msgstr ""
+
+#: C/genius.xml:5318(synopsis)
+#, no-wrap
+msgid "LinePlotCParametric (func,t1,t2,tinc,x1,x2,y1,y2)"
+msgstr ""
+
+#: C/genius.xml:5319(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:5339(term)
+msgid "SlopefieldClearSolutions"
+msgstr "SlopefieldClearSolutions"
+
+#: C/genius.xml:5341(synopsis)
+#, no-wrap
+msgid "SlopefieldClearSolutions ()"
+msgstr "SlopefieldClearSolutions ()"
+
+#: C/genius.xml:5342(para)
+msgid ""
+"Clears the solutions drawn by the <link linkend=\"gel-function-"
+"SlopefieldDrawSolution\"><function>SlopefieldDrawSolution</function></link> "
+"function."
+msgstr ""
+
+#: C/genius.xml:5351(term)
+msgid "SlopefieldDrawSolution"
+msgstr "SlopefieldDrawSolution"
+
+#: C/genius.xml:5353(synopsis)
+#, no-wrap
+msgid "SlopefieldDrawSolution (x, y, dx)"
+msgstr "SlopefieldDrawSolution (x, y, dx)"
+
+#: C/genius.xml:5354(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:5368(term)
+msgid "SlopefieldPlot"
+msgstr "SlopefieldPlot"
+
+#: C/genius.xml:5370(synopsis)
+#, no-wrap
+msgid "SlopefieldPlot (func)"
+msgstr ""
+
+#: C/genius.xml:5371(synopsis)
+#, no-wrap
+msgid "SlopefieldPlot (func,x1,x2,y1,y2)"
+msgstr ""
+
+#: C/genius.xml:5372(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:5388(para)
+msgid ""
+"Examples: <screen><prompt>genius></prompt> <userinput>Slopefield(`(x,y)"
+"=sin(x-y),-5,5,-5,5)</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:5397(term)
+msgid "SurfacePlot"
+msgstr "SurfacePlot"
+
+#: C/genius.xml:5399(synopsis)
+#, no-wrap
+msgid "SurfacePlot (func)"
+msgstr ""
+
+#: C/genius.xml:5400(synopsis)
+#, no-wrap
+msgid "SurfacePlot (func,x1,x2,y1,y2,z1,z2)"
+msgstr ""
+
+#: C/genius.xml:5401(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:5409(para)
+msgid ""
+"Examples: <screen><prompt>genius></prompt> <userinput>SurfacePlot(|sin|,-"
+"1,1,-1,1,0,1.5)</userinput>\n"
+"<prompt>genius></prompt> <userinput>SurfacePlot(`(x,y)=x^2+y,-1,1,-1,1,-"
+"2,2)</userinput>\n"
+"<prompt>genius></prompt> <userinput>SurfacePlot(`(z)=|z|^2,-1,1,-1,1,0,2)"
+"</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:5420(term)
+msgid "VectorfieldClearSolutions"
+msgstr "VectorfieldClearSolutions"
+
+#: C/genius.xml:5422(synopsis)
+#, no-wrap
+msgid "VectorfieldClearSolutions ()"
+msgstr "VectorfieldClearSolutions ()"
+
+#: C/genius.xml:5423(para)
+msgid ""
+"Clears the solutions drawn by the <link linkend=\"gel-function-"
+"VectorfieldDrawSolution\"><function>VectorfieldDrawSolution</function></"
+"link> function."
+msgstr ""
+
+#: C/genius.xml:5432(term)
+msgid "VectorfieldDrawSolution"
+msgstr "VectorfieldDrawSolution"
+
+#: C/genius.xml:5434(synopsis)
+#, no-wrap
+msgid "VectorfieldDrawSolution (x, y, dt, tlen)"
+msgstr ""
+
+#: C/genius.xml:5435(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:5450(term)
+msgid "VectorfieldPlot"
+msgstr "VectorfieldPlot"
+
+#: C/genius.xml:5452(synopsis)
+#, no-wrap
+msgid "VectorfieldPlot (funcx, funcy)"
+msgstr ""
+
+#: C/genius.xml:5453(synopsis)
+#, no-wrap
+msgid "VectorfieldPlot (funcx, funcy, x1, x2, y1, y2)"
+msgstr ""
+
+#: C/genius.xml:5454(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:5467(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:5479(para)
+msgid ""
+"Examples: <screen><prompt>genius></prompt> <userinput>VectorfieldPlot(`(x,"
+"y)=x^2-y, `(x,y)=y^2-x, -1, 1, -1, 1)</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:2663(title)
+msgid "Example Programs in GEL"
+msgstr ""
+
+#: C/genius.xml:2665(para)
+msgid "Here is a function that calculates factorials: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:2670(para)
+msgid "With indentation it becomes: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:2680(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:2693(programlisting)
+#, no-wrap
+msgid "function f(x) = prod k=1 to x do k\n"
+msgstr ""
+
+#: C/genius.xml:2689(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:2697(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:2752(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:2762(title)
+msgid "Changing Settings with GEL"
+msgstr ""
+
+#: C/genius.xml:2763(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:2772(programlisting)
+#, no-wrap
+msgid "MaxDigits = 12\n"
+msgstr ""
+
+#: C/genius.xml:2770(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:2778(title)
+msgid "Output"
+msgstr ""
+
+#: C/genius.xml:2782(guilabel)
+msgid "Maximum digits to output"
+msgstr ""
+
+#: C/genius.xml:2785(para)
+msgid "The maximum digits in a result (<function>MaxDigits</function>)"
+msgstr ""
+
+#: C/genius.xml:2790(guilabel)
+msgid "Results as floats"
+msgstr ""
+
+#: C/genius.xml:2793(para)
+msgid ""
+"If the results should be always printed as floats "
+"(<function>ResultsAsFloats</function>)"
+msgstr ""
+
+#: C/genius.xml:2798(guilabel)
+msgid "Floats in scientific notation"
+msgstr ""
+
+#: C/genius.xml:2801(para)
+msgid ""
+"If floats should be in scientific notation (<function>ScientificNotation</"
+"function>)"
+msgstr ""
+
+#: C/genius.xml:2806(guilabel)
+msgid "Always print full expressions"
+msgstr ""
+
+#: C/genius.xml:2809(para)
+msgid ""
+"Should we print out full expressions for non-numeric return values (longer "
+"than a line) (<function>FullExpressions</function>)"
+msgstr ""
+
+#: C/genius.xml:2815(guilabel)
+msgid "Use mixed fractions"
+msgstr ""
+
+#: C/genius.xml:2818(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:2824(guilabel)
+msgid ""
+"Display 0.0 when floating point number is less than 10^-x (0=never chop)"
+msgstr ""
+
+#: C/genius.xml:2827(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:2835(guilabel)
+msgid "Only chop numbers when another number is greater than 10^-x"
+msgstr ""
+
+#: C/genius.xml:2838(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:2846(guilabel)
+msgid "Remember output settings across sessions"
+msgstr ""
+
+#: C/genius.xml:2849(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:2851(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:2863(guilabel)
+msgid "Display errors in a dialog"
+msgstr ""
+
+#: C/genius.xml:2866(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:2873(guilabel)
+msgid "Display information messages in a dialog"
+msgstr ""
+
+#: C/genius.xml:2876(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:2884(guilabel)
+msgid "Maximum errors to display"
+msgstr ""
+
+#: C/genius.xml:2887(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:2899(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:2912(para)
+msgid "The base that will be used to output integers"
+msgstr ""
+
+#: C/genius.xml:2921(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:2933(title)
+msgid "Precision"
+msgstr ""
+
+#: C/genius.xml:2937(guilabel)
+msgid "Floating point precision"
+msgstr ""
+
+#: C/genius.xml:2940(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:2955(guilabel)
+msgid "Remember precision setting across sessions"
+msgstr ""
+
+#: C/genius.xml:2958(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:2971(title)
+msgid "Terminal"
+msgstr ""
+
+#: C/genius.xml:2973(para)
+msgid "Terminal refers to the console in the work area."
+msgstr ""
+
+#: C/genius.xml:2980(guilabel)
+msgid "Scrollback lines"
+msgstr ""
+
+#: C/genius.xml:2983(para)
+msgid "Lines of scrollback in the terminal."
+msgstr ""
+
+#: C/genius.xml:2988(guilabel)
+msgid "Font"
+msgstr ""
+
+#: C/genius.xml:2991(para)
+msgid "The font to use on the terminal."
+msgstr ""
+
+#: C/genius.xml:2996(guilabel)
+msgid "Black on white"
+msgstr ""
+
+#: C/genius.xml:2999(para)
+msgid "If to use black on white on the terminal."
+msgstr ""
+
+#: C/genius.xml:3004(guilabel)
+msgid "Blinking cursor"
+msgstr ""
+
+#: C/genius.xml:3007(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:3014(title)
+msgid "Memory"
+msgstr ""
+
+#: C/genius.xml:3018(guilabel)
+msgid "Maximum number of nodes to allocate"
+msgstr ""
+
+#: C/genius.xml:3021(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:3029(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:3037(para)
+msgid ""
+"Setting the limit to zero means there is no limit to the amount of memory "
+"that genius uses."
+msgstr ""
+
+#: C/genius.xml:3051(title)
+msgid "About <application>Genius Mathematics Tool</application>"
+msgstr ""
+
+#: C/genius.xml:3053(para)
+msgid ""
+"<application>Genius Mathematics Tool</application> was written by "
+"JiÅ?í (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:3060(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 ""
+
+#: C/genius.xml:3066(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 ""
+
+#: C/genius.xml:3073(para)
+msgid ""
+"JiÅ?í Lebl was during various parts of the development partially "
+"supported for the work by NSF grant DMS 0900885 and the University of "
+"Illinois at Urbana-Champaign. The software has been used for both teaching "
+"and research."
+msgstr ""
+
+#. Put one translator per line, in the form of NAME <EMAIL>, YEAR1, YEAR2
+#: C/genius.xml:0(None)
+msgid "translator-credits"
+msgstr "Daniel Mustieles <daniel mustieles gmail com>, 2011"
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