[genius] Updated Brazilian Portuguese translation

[Enrico Nicoletto <enriconlto src gnome org>]

commit b76f90359ffb81fbbd8172f8c9c6515bf1c1f733
Author: Enrico Nicoletto <liverig gmail com>
Date:   Sat Oct 19 13:17:29 2013 -0300

    Updated Brazilian Portuguese translation

 help/Makefile.am    |    2 +-
 help/pt_BR/pt_BR.po |13356 +++++++++++++++++++++++++++++++++++++++++++++++++++
 2 files changed, 13357 insertions(+), 1 deletions(-)
---
diff --git a/help/Makefile.am b/help/Makefile.am
index 3eb356d..3fc8c26 100644
--- a/help/Makefile.am
+++ b/help/Makefile.am
@@ -12,7 +12,7 @@ DOC_FIGURES = figures/parametric.png          \
 
 DOC_ENTITIES = legal.xml
 
-DOC_LINGUAS = cs de es fr ru
+DOC_LINGUAS = cs de es fr pt_BR ru
 
 #
 # Text version
diff --git a/help/pt_BR/pt_BR.po b/help/pt_BR/pt_BR.po
new file mode 100644
index 0000000..ada1c6a
--- /dev/null
+++ b/help/pt_BR/pt_BR.po
@@ -0,0 +1,13356 @@
+# Brazilian Portuguese translation for genius
+# Copyright (C) 2004-2013 Free Software Foundation, Inc.
+# This file is distributed under the same license as the genius package.
+# Enrico Nicoletto <liverig gmail com>, 2013.
+#
+msgid ""
+msgstr ""
+"Project-Id-Version: genius\n"
+"Report-Msgid-Bugs-To: http://bugzilla.gnome.org/enter_bug.cgi?";
+"product=genius&keywords=I18N+L10N&component=general\n"
+"POT-Creation-Date: 2013-10-18 18:07+0000\n"
+"PO-Revision-Date: 2013-10-19 14:28-0300\n"
+"Last-Translator: Enrico Nicoletto <liverig gmail com>\n"
+"Language-Team: Brazilian Portuguese <gnome-pt_br-list gnome org>\n"
+"Language: pt_BR\n"
+"MIME-Version: 1.0\n"
+"Content-Type: text/plain; charset=UTF-8\n"
+"Content-Transfer-Encoding: 8bit\n"
+"X-Generator: Poedit 1.5.7\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:267(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:468(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:497(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:540(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:564(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:670(None)
+msgid ""
+"@@image: 'figures/surface_graph.png'; md5=45b10d405b4cd88ad07413452e5f68ac"
+msgstr ""
+"@@image: 'figures/surface_graph.png'; md5=45b10d405b4cd88ad07413452e5f68ac"
+
+#: C/genius.xml:36(para)
+msgid "Manual for the Genius Math Tool."
+msgstr "Manual da ferramenta matemática Genius"
+
+#: C/genius.xml:37(title)
+msgid "Genius Manual"
+msgstr "Manual do Genius"
+
+#: C/genius.xml:40(year)
+msgid "1997-2013"
+msgstr "1997-2013"
+
+#: C/genius.xml:41(holder)
+msgid "Jiří (George) Lebl"
+msgstr "Jiří (George) Lebl"
+
+#: C/genius.xml:44(year)
+msgid "2004"
+msgstr "2004"
+
+#: C/genius.xml:45(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 ""
+"Permissão concedida para copiar, distribuir e/ou modificar este documento "
+"sob os termos da Licença de Documentação Livre GNU (GNU Free Documentation "
+"License), Versão 1.1 ou qualquer versão mais recente publicada pela Free "
+"Software Foundation; sem Seções Invariantes, Textos de Capa Frontal, e sem "
+"Textos de Contracapa. Você pode encontrar uma cópia da licença GFDL neste "
+"<ulink type=\"help\" url=\"ghelp:fdl\">link</ulink> ou no arquivo COPYING-"
+"DOCS distribuído com este manual."
+
+#: 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 ""
+"Este manual é parte da coleção de manuais do GNOME distribuídos sob a GFDL. "
+"Se você quiser distribuí-lo separadamente da coleção, você pode fazê-lo "
+"adicionando ao manual uma cópia da licença, como descrito na seção 6 da "
+"licença."
+
+#: 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 ""
+"Muitos dos nomes usados por empresas para distinguir seus produtos e "
+"serviços são reivindicados como marcas registradas. Onde esses nomes "
+"aparecem em qualquer documentação do GNOME e os membros do Projeto de "
+"Documentação do GNOME estiverem cientes dessas marcas registradas, os nomes "
+"aparecerão impressos em letras maiúsculas ou com iniciais em maiúsculas."
+
+#: 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 ""
+"O DOCUMENTO É FORNECIDO NA BASE \"COMO ESTÁ\", SEM GARANTIAS DE QUALQUER "
+"TIPO, TANTO EXPRESSA OU IMPLÍCITA, INCLUINDO, MAS NÃO LIMITADO A, GARANTIAS "
+"DE QUE O DOCUMENTO OU VERSÃO MODIFICADA DO DOCUMENTO SEJA COMERCIALIZÁVEL, "
+"LIVRE DE DEFEITOS, PRÓPRIO PARA UM PROPÓSITO ESPECÍFICO OU SEM INFRAÇÕES. "
+"TODO O RISCO A RESPEITO DA QUALIDADE, EXATIDÃO, E DESEMPENHO DO DOCUMENTO OU "
+"VERSÕES MODIFICADAS DO DOCUMENTO É DE SUA RESPONSABILIDADE. SE ALGUM "
+"DOCUMENTO OU VERSÃO MODIFICADA SE PROVAR DEFEITUOSO EM QUALQUER ASPECTO, "
+"VOCÊ (NÃO O ESCRITOR INICIAL, AUTOR OU QUALQUER CONTRIBUIDOR) ASSUME O CUSTO "
+"DE QUALQUER SERVIÇO NECESSÁRIO, REPARO OU CORREÇÃO. ESSA RENÚNCIA DE "
+"GARANTIAS CONSTITUI UMA PARTE ESSENCIAL DESTA LICENÇA. NENHUM USO DESTE "
+"DOCUMENTO OU VERSÃO MODIFICADA DESTE DOCUMENTO É AUTORIZADO SE NÃO FOR SOB "
+"ESSA RENÚNCIA; E"
+
+#: 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 ""
+"SOB NENHUMA CIRCUNSTÂNCIA E SOB NENHUMA TEORIA LEGAL, TANTO EM DANO "
+"(INCLUINDO NEGLIGÊNCIA), CONTRATO, OU OUTROS, DEVEM O AUTOR, ESCRITOR "
+"INICIAL, QUALQUER CONTRIBUIDOR, OU QUALQUER DISTRIBUIDOR DO DOCUMENTO OU "
+"VERSÃO MODIFICADA DO DOCUMENTO, OU QUALQUER FORNECEDOR DE ALGUMA DESSAS "
+"PARTES, SEREM CONSIDERADOS RESPONSÁVEIS A QUALQUER PESSOA POR QUALQUER DANO, "
+"SEJA DIRETO, INDIRETO, ESPECIAL, ACIDENTAL OU DANOS DECORRENTES DE QUALQUER "
+"NATUREZA, INCLUINDO, MAS NÃO LIMITADO A, DANOS POR PERDA DE BOA VONTADE, "
+"TRABALHO PARADO, FALHA OU MAU FUNCIONAMENTO DO COMPUTADOR, OU QUALQUER E "
+"TODOS OS OUTROS DANOS OU PERDAS RESULTANTES OU RELACIONADOS AO USO DO "
+"DOCUMENTO E VERSÕES MODIFICADAS, MESMO QUE TAL PARTE TENHA SIDO INFORMADA DA "
+"POSSIBILIDADE DE TAIS DANOS."
+
+#: 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 ""
+"O DOCUMENTO E VERSÕES MODIFICADAS DO DOCUMENTO SÃO FORNECIDOS SOB OS TERMOS "
+"DA GNU FREE DOCUMENTATION LICENSE COM O ENTENDIMENTO ADICIONAL DE QUE: "
+"<placeholder-1/>"
+
+#: C/genius.xml:65(firstname)
+msgid "Jiří"
+msgstr "Jiří"
+
+#: C/genius.xml:66(surname)
+msgid "Lebl"
+msgstr "Lebl"
+
+#: C/genius.xml:68(orgname)
+msgid "Oklahoma State University"
+msgstr "Universidade do Estado de Oklahoma"
+
+#: C/genius.xml:69(email)
+msgid "jirka 5z com"
+msgstr "jirka 5z com"
+
+#: C/genius.xml:73(firstname)
+msgid "Kai"
+msgstr "Kai"
+
+#: C/genius.xml:74(surname)
+msgid "Willadsen"
+msgstr "Willadsen"
+
+#: C/genius.xml:76(orgname)
+msgid "University of Queensland, Australia"
+msgstr "Universidade de Queensland, Austrália"
+
+#: C/genius.xml:77(email)
+msgid "kaiw itee uq edu au"
+msgstr "kaiw itee uq edu au"
+
+#: C/genius.xml:145(revnumber)
+msgid "0.2"
+msgstr "0.2"
+
+#: C/genius.xml:146(date)
+msgid "October 2013"
+msgstr "Outubro de 2013"
+
+#: C/genius.xml:148(para)
+msgid "Jiri (George) Lebl <email>jirka 5z com</email>"
+msgstr "Jiri (George) Lebl <email>jirka 5z com</email>"
+
+#: C/genius.xml:154(releaseinfo)
+msgid "This manual describes version 1.0.18 of Genius."
+msgstr "Este manual descreve a versão 1.0.18 do Genius."
+
+#: C/genius.xml:157(title)
+msgid "Feedback"
+msgstr "Comentários"
+
+#: C/genius.xml:158(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:168(title)
+msgid "Introduction"
+msgstr "Introdução"
+
+#: C/genius.xml:169(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:183(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:191(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:202(title)
+msgid "Getting Started"
+msgstr "Primeiros passos"
+
+#: C/genius.xml:205(title)
+msgid "To Start <application>Genius Mathematics Tool</application>"
+msgstr ""
+
+#: C/genius.xml:206(para)
+msgid ""
+"You can start <application><application>Genius Mathematics Tool</"
+"application></application> in the following ways:"
+msgstr ""
+
+#: C/genius.xml:210(term)
+msgid "<guimenu>Applications</guimenu> menu"
+msgstr ""
+
+#: C/genius.xml:212(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:228(term)
+msgid "<guilabel>Run</guilabel> dialog"
+msgstr ""
+
+#: C/genius.xml:230(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:238(term)
+msgid "Command line"
+msgstr "Linha de comando"
+
+#: C/genius.xml:240(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:244(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:256(title)
+#, fuzzy
+msgid "When You Start Genius"
+msgstr "Sobre o Genius"
+
+#: C/genius.xml:257(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:262(title)
+msgid "<application>Genius Mathematics Tool</application> Window"
+msgstr ""
+
+#: C/genius.xml:0(application)
+msgid "Genius Mathematics Tool"
+msgstr "Ferramenta matemática Genius"
+
+#: C/genius.xml:271(guilabel)
+msgid "File"
+msgstr "Arquivo"
+
+#: C/genius.xml:272(guilabel)
+msgid "Edit"
+msgstr "Editar"
+
+#: C/genius.xml:272(guilabel)
+msgid "Calculator"
+msgstr "Calculadora"
+
+#: C/genius.xml:273(guilabel) C/genius.xml:8852(title)
+msgid "Settings"
+msgstr "Preferências"
+
+#: C/genius.xml:273(guilabel)
+msgid "Help"
+msgstr "Ajuda"
+
+#: C/genius.xml:270(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:279(para)
+msgid ""
+"The <application>Genius Mathematics Tool</application> window contains the "
+"following elements:"
+msgstr ""
+
+#: C/genius.xml:283(term)
+msgid "Menubar."
+msgstr ""
+
+#: C/genius.xml:285(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:290(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:298(para)
+msgid "The other menus have same familiar functions as in other applications."
+msgstr ""
+
+#: C/genius.xml:304(term)
+msgid "Toolbar."
+msgstr ""
+
+#: C/genius.xml:306(para)
+msgid ""
+"The toolbar contains a subset of the commands that you can access from the "
+"menubar."
+msgstr ""
+
+#: C/genius.xml:310(term)
+msgid "Working area"
+msgstr ""
+
+#: C/genius.xml:312(para)
+msgid ""
+"The working area is the primary method of interacting with the application."
+msgstr ""
+
+#: C/genius.xml:316(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:322(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:336(title)
+#, fuzzy
+msgid "Basic Usage"
+msgstr "Básico"
+
+#: C/genius.xml:339(title)
+msgid "Using the Work Area"
+msgstr ""
+
+#: C/genius.xml:341(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 in the console, it will be "
+"evaluated, and the returned value will be printed."
+msgstr ""
+
+#: C/genius.xml:349(para)
+msgid ""
+"To evaluate an expression, type it into the <guilabel>Console</guilabel> "
+"work area and press enter. Expressions are written in a language called GEL. "
+"The most simple GEL expression just looks like mathematics. For example "
+"<screen><prompt>genius&gt; </prompt><userinput>30*70 + 67^3.0 + ln(7) * "
+"(88.8/100)</userinput>\n"
+"</screen> or <screen><prompt>genius&gt; </prompt><userinput>62734 + 812634 + "
+"77^4 mod 5</userinput>\n"
+"</screen> or <screen><prompt>genius&gt; </prompt><userinput>| sin(37) - e^7 |"
+"</userinput>\n"
+"</screen> or <screen><prompt>genius&gt; </prompt><userinput>sum n=1 to 70 do "
+"1/n</userinput>\n"
+"</screen> (Last is the harmonic sum from 1 to 70)"
+msgstr ""
+
+#: C/genius.xml:367(para)
+msgid ""
+"To get a list of functions and commands, type: <screen><prompt>genius&gt; </"
+"prompt><userinput>help</userinput>\n"
+"</screen> If you wish to get more help on a specific function, type: "
+"<screen><prompt>genius&gt; </prompt><userinput>help FunctionName</"
+"userinput>\n"
+"</screen> To view this manual, type: <screen><prompt>genius&gt; </"
+"prompt><userinput>manual</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:378(para)
+msgid ""
+"Suppose you have previously saved some GEL commands as a program to a file "
+"and you now want to execute them. To load this program from the file "
+"<filename>path/to/program.gel</filename>, type <screen><prompt>genius&gt; </"
+"prompt><userinput>load path/to/program.gel</userinput>\n"
+"</screen><application>Genius Mathematics Tool</application> keeps track of "
+"the current directory. To list files in the current directory type "
+"<command>ls</command>, to change directory do <userinput>cd directory</"
+"userinput> as in the unix command shell."
+msgstr ""
+
+#: C/genius.xml:392(title)
+#, fuzzy
+msgid "To Create a New Program"
+msgstr "Cria a aba de um novo programa"
+
+#: C/genius.xml:393(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:409(para)
+msgid ""
+"To save the program you've just written, choose <menuchoice><guimenu>File</"
+"guimenu><guimenuitem>Save As...</guimenuitem></menuchoice>"
+msgstr ""
+
+#: C/genius.xml:415(title)
+msgid "To Open and Run a Program"
+msgstr ""
+
+#: C/genius.xml:416(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:422(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:434(title) C/genius.xml:8304(title)
+msgid "Plotting"
+msgstr "Plotagem"
+
+#: C/genius.xml:436(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:449(title)
+#, fuzzy
+msgid "Line Plots"
+msgstr "Gráfico de Retas do Genius"
+
+#: C/genius.xml:450(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:456(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:464(title)
+#, fuzzy
+msgid "Create Plot Window"
+msgstr "Janela de desenho"
+
+#: C/genius.xml:471(phrase)
+#, fuzzy
+msgid "Shows the line plotting window."
+msgstr "Mostra a janela de gráfico de linha e limpa as funções"
+
+#: C/genius.xml:477(para)
+msgid ""
+"Type expressions with <userinput>x</userinput> as the independent variable "
+"into the textboxes. Alternatively you can 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. The <varname>y</"
+"varname> (dependent) range can be set automatically by turning on the "
+"<guilabel>Fit dependent axis</guilabel> checkbox. The names of the variables "
+"can also be changed. Pressing the <guilabel>Plot</guilabel> button produces "
+"the graph shown in <xref linkend=\"lineplot2-fig\"/>."
+msgstr ""
+
+#: C/genius.xml:493(title)
+msgid "Plot Window"
+msgstr "Janela de desenho"
+
+#: 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)
+#, fuzzy
+msgid "Parametric Plots"
+msgstr "Pa_ramétrico"
+
+#: 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 <varname>x</varname> and <varname>y</varname>, or giving a single complex "
+"number as a function of the variable <varname>t</varname>. The range of the "
+"variable <varname>t</varname> is given explicitly, and the function is "
+"sampled according to the given increment. The <varname>x</varname> and "
+"<varname>y</varname> range can be set automatically by turning on the "
+"<guilabel>Fit dependent axis</guilabel> checkbox, or it can be specified "
+"explicitly. See <xref linkend=\"paramplot-fig\"/>."
+msgstr ""
+
+#: C/genius.xml:536(title)
+#, fuzzy
+msgid "Parametric Plot Tab"
+msgstr "Pa_ramétrico"
+
+#: C/genius.xml:543(guilabel)
+msgid "Create Plot"
+msgstr "Criar Traço"
+
+#: C/genius.xml:543(phrase)
+msgid "Parametric plotting tab in the <placeholder-1/> window."
+msgstr ""
+
+#: C/genius.xml:549(para)
+msgid ""
+"An example of a parametric plot is given in <xref linkend=\"paramplot2-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:560(title)
+#, fuzzy
+msgid "Parametric Plot"
+msgstr "Pa_ramétrico"
+
+#: C/genius.xml:567(phrase)
+#, fuzzy
+msgid "Parametric plot produced"
+msgstr "Parâmetro t de:"
+
+#: C/genius.xml:576(title)
+#, fuzzy
+msgid "Slopefield Plots"
+msgstr "Camp_o de inclinação"
+
+#: 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)
+#, fuzzy
+msgid "Vectorfield Plots"
+msgstr "Campo _vetorial"
+
+#: 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)
+#, fuzzy
+msgid "Surface Plots"
+msgstr "Traço de _superfície"
+
+#: 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 that 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:660(para)
+msgid ""
+"The <varname>z</varname> range can be set automatically by turning on the "
+"<guilabel>Fit dependent axis</guilabel> checkbox."
+msgstr ""
+
+#: C/genius.xml:666(title)
+#, fuzzy
+msgid "Surface Plot"
+msgstr "Traço de _superfície"
+
+#: C/genius.xml:673(phrase)
+#, fuzzy
+msgid "Modulus of the complex cosine function."
+msgstr "Calcula a função cosseno"
+
+#: C/genius.xml:685(title)
+#, fuzzy
+msgid "GEL Basics"
+msgstr "Básico"
+
+#: C/genius.xml:687(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, a matrix, or another object in GEL. "
+"<application>Genius Mathematics Tool</application> can 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:700(title)
+msgid "Values"
+msgstr ""
+
+#: C/genius.xml:702(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>. GEL also treats "
+"<link linkend=\"genius-gel-matrices\">matrices</link> as values. Values can "
+"be used in calculations, assigned to variables and returned from functions, "
+"among other uses."
+msgstr ""
+
+#: C/genius.xml:709(title)
+msgid "Numbers"
+msgstr "Números"
+
+#: C/genius.xml:712(programlisting)
+#, no-wrap
+msgid "1234\n"
+msgstr ""
+
+#: C/genius.xml:715(programlisting)
+#, no-wrap
+msgid ""
+"0x123ABC\n"
+"01234\n"
+msgstr ""
+
+#: C/genius.xml:719(programlisting)
+#, no-wrap
+msgid "23\\1234ABCD\n"
+msgstr ""
+
+#: C/genius.xml:710(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>&lt;base&gt;\\&lt;number&gt;</literal>. "
+"Digits higher than 10 use letters in a similar way to hexadecimal. For "
+"example, a number in base 23 could be written: <placeholder-3/>"
+msgstr ""
+
+#: C/genius.xml:725(programlisting)
+#, no-wrap
+msgid "3/4\n"
+msgstr ""
+
+#: C/genius.xml:728(programlisting)
+#, no-wrap
+msgid "1 3/10\n"
+msgstr ""
+
+#: C/genius.xml:723(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:734(programlisting)
+#, no-wrap
+msgid ""
+"1.315\n"
+"7.887e77\n"
+"7.887e-77\n"
+".3\n"
+"0.3\n"
+"77e5\n"
+msgstr ""
+
+#: C/genius.xml:732(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:750(programlisting)
+#, no-wrap
+msgid ""
+"1+2i\n"
+"8.01i\n"
+"77*e^(1.3i)\n"
+msgstr ""
+
+#: C/genius.xml:748(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. To add an imaginary "
+"part, append an <literal>i</literal>. Here are examples of entering complex "
+"numbers: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:757(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:761(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:770(title)
+msgid "Booleans"
+msgstr "Booleanos"
+
+#: C/genius.xml:771(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:779(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:788(programlisting)
+#, no-wrap
+msgid "( (1 + true) - false ) * true\n"
+msgstr ""
+
+#: C/genius.xml:791(programlisting)
+#, no-wrap
+msgid "( (true or true) or not false ) and true\n"
+msgstr ""
+
+#: C/genius.xml:794(programlisting)
+#, no-wrap
+msgid "1 == true\n"
+msgstr ""
+
+#: C/genius.xml:786(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:802(title)
+msgid "Strings"
+msgstr "Strings"
+
+#: C/genius.xml:805(programlisting)
+#, no-wrap
+msgid "a=2+3;\"The result is: \"+a\n"
+msgstr ""
+
+#: C/genius.xml:808(programlisting)
+#, no-wrap
+msgid "The result is: 5\n"
+msgstr ""
+
+#: C/genius.xml:811(programlisting)
+#, no-wrap
+msgid "\"Slash: \\\\ Quotes: \\\" Tabs: \\t1\\t2\\t3\"\n"
+msgstr ""
+
+#: C/genius.xml:814(programlisting)
+#, no-wrap
+msgid "Slash: \\ Quotes: \" Tabs: \t1\t2\t3\n"
+msgstr ""
+
+#: C/genius.xml:803(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/> Do note however that when a string is returned from a "
+"function, escapes are quoted, so that the output can be used as input. If "
+"you wish to print the string as it is (without escapes), use the <link "
+"linkend=\"gel-function-print\"><function>print</function></link> or <link "
+"linkend=\"gel-function-printn\"><function>printn</function></link> functions."
+msgstr ""
+
+#: C/genius.xml:825(programlisting)
+#, fuzzy, no-wrap
+msgid "string(22)\n"
+msgstr "string"
+
+#: C/genius.xml:828(programlisting)
+#, no-wrap
+msgid "\"22\"\n"
+msgstr ""
+
+#: C/genius.xml:823(para)
+msgid ""
+"In addition, you can use the library function <link linkend=\"gel-function-"
+"string\"><function>string</function></link> to convert anything to a string. "
+"For example: <placeholder-1/> will return <placeholder-2/> Strings can also "
+"be compared with <literal>==</literal> (equal), <literal>!=</literal> (not "
+"equal) and <literal>&lt;=&gt;</literal> (comparison) operators"
+msgstr ""
+
+#: C/genius.xml:836(title)
+msgid "Null"
+msgstr ""
+
+#: C/genius.xml:837(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:850(programlisting)
+#, no-wrap
+msgid ""
+"x=5;.\n"
+"x=5;\n"
+msgstr ""
+
+#: C/genius.xml:848(para) C/genius.xml:2155(para)
+msgid "Example: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:854(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:864(title)
+#, fuzzy
+msgid "Using Variables"
+msgstr "Mostrar _variáveis do usuário"
+
+#: C/genius.xml:868(programlisting)
+#, fuzzy, no-wrap
+msgid "VariableName\n"
+msgstr "Nome da variável:"
+
+#: C/genius.xml:866(para)
+msgid ""
+"Syntax: <placeholder-1/> Example: <screen><prompt>genius&gt; </"
+"prompt><userinput>e</userinput>\n"
+"= 2.71828182846\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:876(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:881(title) C/genius.xml:970(title)
+msgid "Using Tab completion"
+msgstr ""
+
+#: C/genius.xml:882(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:888(title)
+#, fuzzy
+msgid "Variable names are case sensitive"
+msgstr "Nomes de variáveis devem ser identificadores válidos"
+
+#: C/genius.xml:889(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:896(title)
+#, fuzzy
+msgid "Setting Variables"
+msgstr "Mostrar _variáveis do usuário"
+
+#: C/genius.xml:903(programlisting)
+#, no-wrap
+msgid ""
+"x = 3\n"
+"x := 3\n"
+msgstr ""
+
+#: C/genius.xml:897(para)
+msgid "Syntax: <placeholder-1/> Example: <placeholder-2/>"
+msgstr ""
+
+#: C/genius.xml:910(programlisting)
+#, no-wrap
+msgid "a = b = 5\n"
+msgstr ""
+
+#: C/genius.xml:908(para)
+msgid ""
+"To assign a value to a variable, use the <literal>=</literal> or <literal>:"
+"=</literal> operators. These operators set the value of the variable and "
+"return the value you set, so you can do things like <placeholder-1/> This "
+"will set <varname>b</varname> to 5 and then also set <varname>a</varname> to "
+"5."
+msgstr ""
+
+#: C/genius.xml:915(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:919(para)
+msgid ""
+"For more information about the scope of variables, that is when are what "
+"variables visible, see <xref linkend=\"genius-gel-variables-global\"/>."
+msgstr ""
+
+#: C/genius.xml:926(title)
+#, fuzzy
+msgid "Built-in Variables"
+msgstr "Monitorar uma variável"
+
+#: C/genius.xml:927(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. Note that <varname>i</"
+"varname> is not by default the square root of negative one (the imaginary "
+"number), and is undefined. If you wish to write the imaginary number you "
+"need to use <userinput>1i</userinput>."
+msgstr ""
+
+#: C/genius.xml:940(title)
+msgid "Previous Result Variable"
+msgstr ""
+
+#: C/genius.xml:943(programlisting)
+#, no-wrap
+msgid "Ans+389\n"
+msgstr ""
+
+#: C/genius.xml:941(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:950(title)
+#, fuzzy
+msgid "Using Functions"
+msgstr "Funções"
+
+#: C/genius.xml:954(programlisting)
+#, no-wrap
+msgid "FunctionName(argument1, argument2, ...)\n"
+msgstr ""
+
+#: C/genius.xml:957(programlisting)
+#, no-wrap
+msgid ""
+"Factorial(5)\n"
+"cos(2*pi)\n"
+"gcd(921,317)\n"
+msgstr ""
+
+#: C/genius.xml:952(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:965(para)
+msgid ""
+"There are many built-in functions, such as <link linkend=\"gel-function-sin"
+"\"><function>sin</function></link>, <link linkend=\"gel-function-cos"
+"\"><function>cos</function></link> and <link linkend=\"gel-function-tan"
+"\"><function>tan</function></link>. You can use the <link linkend=\"gel-"
+"command-help\"><function>help</function></link> built-in command to get a "
+"list of available functions, or see <xref linkend=\"genius-gel-function-list"
+"\"/> for a full listing."
+msgstr ""
+
+#: C/genius.xml:971(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:977(title)
+msgid "Function names are case sensitive"
+msgstr ""
+
+#: C/genius.xml:978(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:985(title)
+#, fuzzy
+msgid "Defining Functions"
+msgstr "Funções"
+
+#: C/genius.xml:986(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:997(programlisting)
+#, no-wrap
+msgid "function addup(a,b,c) = a+b+c\n"
+msgstr ""
+
+#: C/genius.xml:994(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 that Genius can load in order to make them available. Example: "
+"<placeholder-1/> then <userinput>addup(1,4,9)</userinput> yields 14"
+msgstr ""
+
+#: C/genius.xml:1004(title)
+msgid "Variable Argument Lists"
+msgstr ""
+
+#: C/genius.xml:1007(programlisting)
+#, no-wrap
+msgid "function f(a,b...) = b\n"
+msgstr ""
+
+#: C/genius.xml:1005(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:1015(title)
+#, fuzzy
+msgid "Passing Functions to Functions"
+msgstr "Faltando valor para a função"
+
+#: C/genius.xml:1017(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:1024(programlisting)
+#, no-wrap
+msgid ""
+"function f(a,b) = a(b)+1;\n"
+"function b(x) = x*x;\n"
+"f(b,2)\n"
+msgstr ""
+
+#: C/genius.xml:1021(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:1037(programlisting)
+#, no-wrap
+msgid ""
+"function f(a,b) = a(b)+1;\n"
+"f(`(x) = x*x,2)\n"
+msgstr ""
+
+#: C/genius.xml:1029(para)
+msgid ""
+"To pass functions that 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:1046(title)
+#, fuzzy
+msgid "Operations on Functions"
+msgstr "Ajuda sobre a Função"
+
+#: C/genius.xml:1049(programlisting)
+#, no-wrap
+msgid "exp(sin*cos+4)\n"
+msgstr ""
+
+#: C/genius.xml:1053(programlisting)
+#, no-wrap
+msgid "`(x) = exp(sin(x)*cos(x)+4)\n"
+msgstr ""
+
+#: C/genius.xml:1058(programlisting)
+#, no-wrap
+msgid "f = exp(sin*cos+4)\n"
+msgstr ""
+
+#: C/genius.xml:1061(programlisting)
+#, no-wrap
+msgid "LinePlot(sin^2)\n"
+msgstr ""
+
+#: C/genius.xml:1047(para)
+msgid ""
+"Some functions allow arithmetic operations, and some single argument "
+"functions such as <link linkend=\"gel-function-exp\"><function>exp</"
+"function></link> or <link linkend=\"gel-function-ln\"><function>ln</"
+"function></link>, 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:1066(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:1076(title)
+#, fuzzy
+msgid "Absolute Value / Modulus"
+msgstr "Valor absoluto"
+
+#: C/genius.xml:1080(programlisting)
+#, no-wrap
+msgid "|a-b|"
+msgstr ""
+
+#: C/genius.xml:1077(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:1082(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:1091(title)
+msgid "Separator"
+msgstr ""
+
+#: C/genius.xml:1097(programlisting)
+#, no-wrap
+msgid "3 ; 5\n"
+msgstr ""
+
+#: C/genius.xml:1092(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:1101(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:1117(title)
+#, fuzzy
+msgid "Comments"
+msgstr "Comandos"
+
+#: C/genius.xml:1122(programlisting)
+#, no-wrap
+msgid ""
+"# This is just a comment\n"
+"# every line in a comment must have its own pond sign\n"
+"# in the next line we set x to the value 123\n"
+"x=123;\n"
+msgstr ""
+
+#: C/genius.xml:1118(para)
+msgid ""
+"GEL is similar to other scripting languages in that <literal>#</literal> "
+"denotes a comments, that is text that is not meant to be evaluated. "
+"Everything beyond the pound sign till the end of line will just be ignored. "
+"So <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:1131(title)
+msgid "Modular Evaluation"
+msgstr ""
+
+#: C/genius.xml:1136(programlisting)
+#, no-wrap
+msgid "2^(5!) * 3^(6!) mod 5"
+msgstr ""
+
+#: C/genius.xml:1132(para)
+msgid ""
+"Genius implements modular arithmetic. To use it you just add \"mod &lt;"
+"integer&gt;\" 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, which simply "
+"gives the remainder, 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. The first "
+"expression first tries to compute the integer <userinput>10^(10^10)</"
+"userinput> and then find remainder after division by 6, while the second "
+"expression evaluates everything modulo 6 to begin with."
+msgstr ""
+
+#: C/genius.xml:1150(programlisting)
+#, no-wrap
+msgid ""
+"10^-1 mod 101\n"
+"1/10 mod 101"
+msgstr ""
+
+#: C/genius.xml:1155(programlisting)
+#, no-wrap
+msgid ""
+"A = [1,2;3,4]\n"
+"B = A^-1 mod 5\n"
+"A*B mod 5"
+msgstr ""
+
+#: C/genius.xml:1146(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:1167(programlisting)
+#, no-wrap
+msgid ""
+"genius&gt; sqrt(4) mod 7\n"
+"=\n"
+"[2, 5]\n"
+"genius&gt; 2*2 mod 7\n"
+"= 4"
+msgstr ""
+
+#: C/genius.xml:1160(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:1175(para)
+msgid ""
+"Do not chain mod operators, simply place it at the end of the computation, "
+"all computations in the expression on the left will be carried out in mod "
+"arithmetic. If you place a mod inside a mod, you will get unexpected "
+"results. If you simply want to mod a single number and control exactly when "
+"remainders are taken, best to use the <literal>%</literal> operator. When "
+"you need to chain several expressions in modular arithmetic with different "
+"divisors, it may be best to just split up the expression into several and "
+"use temporary variables to avoid a mod inside a mod."
+msgstr ""
+
+#: C/genius.xml:1188(title)
+msgid "List of GEL Operators"
+msgstr ""
+
+#: C/genius.xml:1190(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:1198(synopsis)
+#, no-wrap
+msgid "a;b"
+msgstr ""
+
+#: C/genius.xml:1200(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:1212(synopsis)
+#, no-wrap
+msgid "a=b"
+msgstr ""
+
+#: C/genius.xml:1214(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:1226(synopsis)
+#, no-wrap
+msgid "a:=b"
+msgstr ""
+
+#: C/genius.xml:1228(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:1239(synopsis)
+#, no-wrap
+msgid "|a|"
+msgstr ""
+
+#: C/genius.xml:1241(para)
+msgid ""
+"Absolute value or modulus (if <varname>a</varname> is a complex number)."
+msgstr ""
+
+#: C/genius.xml:1245(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/AbsoluteValue.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:1254(synopsis)
+#, no-wrap
+msgid "a^b"
+msgstr ""
+
+#: C/genius.xml:1256(para)
+msgid ""
+"Exponentiation, raises <varname>a</varname> to the <varname>b</varname>th "
+"power."
+msgstr ""
+
+#: C/genius.xml:1264(synopsis)
+#, no-wrap
+msgid "a.^b"
+msgstr ""
+
+#: C/genius.xml:1266(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:1281(synopsis)
+#, no-wrap
+msgid "a+b"
+msgstr ""
+
+#: C/genius.xml:1283(para)
+msgid ""
+"Addition. Adds two numbers, matrices, functions or strings. If you add a "
+"string to anything the result will just be a string. If one is a square "
+"matrix and the other a number, then the number is multiplied by the identity "
+"matrix."
+msgstr ""
+
+#: C/genius.xml:1294(synopsis)
+#, no-wrap
+msgid "a-b"
+msgstr ""
+
+#: C/genius.xml:1296(para)
+msgid "Subtraction. Subtract two numbers, matrices or functions."
+msgstr ""
+
+#: C/genius.xml:1304(synopsis)
+#, no-wrap
+msgid "a*b"
+msgstr ""
+
+#: C/genius.xml:1306(para)
+msgid "Multiplication. This is the normal matrix multiplication."
+msgstr ""
+
+#: C/genius.xml:1314(synopsis)
+#, no-wrap
+msgid "a.*b"
+msgstr ""
+
+#: C/genius.xml:1316(para)
+msgid ""
+"Element by element multiplication if <varname>a</varname> and <varname>b</"
+"varname> are matrices."
+msgstr ""
+
+#: C/genius.xml:1325(synopsis)
+#, no-wrap
+msgid "a/b"
+msgstr ""
+
+#: C/genius.xml:1327(para)
+msgid ""
+"Division. When <varname>a</varname> and <varname>b</varname> are just "
+"numbers this is the normal division. When they are matrices, then this is "
+"equivalent to <userinput>a*b^-1</userinput>."
+msgstr ""
+
+#: C/genius.xml:1337(synopsis)
+#, no-wrap
+msgid "a./b"
+msgstr ""
+
+#: C/genius.xml:1339(para)
+msgid ""
+"Element by element division. Same as <userinput>a/b</userinput> for numbers, "
+"but operarates element by element on matrices."
+msgstr ""
+
+#: C/genius.xml:1348(synopsis)
+#, no-wrap
+msgid "a\\b"
+msgstr ""
+
+#: C/genius.xml:1350(para)
+msgid "Back division. That is this is the same as <userinput>b/a</userinput>."
+msgstr ""
+
+#: C/genius.xml:1358(synopsis)
+#, no-wrap
+msgid "a.\\b"
+msgstr ""
+
+#: C/genius.xml:1360(para)
+#, fuzzy
+msgid "Element by element back division."
+msgstr "Retro-divisão de elemento por elemento"
+
+#: C/genius.xml:1368(synopsis)
+#, no-wrap
+msgid "a%b"
+msgstr ""
+
+#: C/genius.xml:1370(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:1380(synopsis)
+#, no-wrap
+msgid "a.%b"
+msgstr ""
+
+#: C/genius.xml:1382(para)
+msgid ""
+"Element by element the mod operator. Returns the remainder after element by "
+"element integer <userinput>a./b</userinput>."
+msgstr ""
+
+#: C/genius.xml:1391(synopsis)
+#, no-wrap
+msgid "a mod b"
+msgstr ""
+
+#: C/genius.xml:1393(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:1404(synopsis)
+#, no-wrap
+msgid "a!"
+msgstr ""
+
+#: C/genius.xml:1406(para)
+msgid ""
+"Factorial operator. This is like <userinput>1*...*(n-2)*(n-1)*n</userinput>."
+msgstr ""
+
+#: C/genius.xml:1415(synopsis)
+#, no-wrap
+msgid "a!!"
+msgstr ""
+
+#: C/genius.xml:1417(para)
+msgid ""
+"Double factorial operator. This is like <userinput>1*...*(n-4)*(n-2)*n</"
+"userinput>."
+msgstr ""
+
+#: C/genius.xml:1426(synopsis)
+#, no-wrap
+msgid "a==b"
+msgstr ""
+
+#: C/genius.xml:1428(para)
+msgid ""
+"Equality operator. Returns <constant>true</constant> or <constant>false</"
+"constant> depending on <varname>a</varname> and <varname>b</varname> being "
+"equal or not."
+msgstr ""
+
+#: C/genius.xml:1438(synopsis)
+#, no-wrap
+msgid "a!=b"
+msgstr ""
+
+#: C/genius.xml:1440(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:1450(synopsis)
+#, no-wrap
+msgid "a&lt;&gt;b"
+msgstr ""
+
+#: C/genius.xml:1452(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:1462(synopsis)
+#, no-wrap
+msgid "a&lt;=b"
+msgstr ""
+
+#: C/genius.xml:1464(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>. These can be chained as in <userinput>a "
+"&lt;= b &lt;= c</userinput> (can also be combined with the less than "
+"operator)."
+msgstr ""
+
+#: C/genius.xml:1477(synopsis)
+#, no-wrap
+msgid "a&gt;=b"
+msgstr ""
+
+#: C/genius.xml:1479(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>. These can be chained as in <userinput>a "
+"&gt;= b &gt;= c</userinput> (can also be combine with the greater than "
+"operator)."
+msgstr ""
+
+#: C/genius.xml:1491(synopsis)
+#, no-wrap
+msgid "a&lt;b"
+msgstr ""
+
+#: C/genius.xml:1493(para)
+msgid ""
+"Less than operator, returns <constant>true</constant> if <varname>a</"
+"varname> is less than <varname>b</varname> else returns <constant>false</"
+"constant>. These can be chained as in <userinput>a &lt; b &lt; c</userinput> "
+"(can also be combine with the less than or equal to operator)."
+msgstr ""
+
+#: C/genius.xml:1506(synopsis)
+#, no-wrap
+msgid "a&gt;b"
+msgstr ""
+
+#: C/genius.xml:1508(para)
+msgid ""
+"Greater than operator, returns <constant>true</constant> if <varname>a</"
+"varname> is greater than <varname>b</varname> else returns <constant>false</"
+"constant>. These can be chained as in <userinput>a &gt; b &gt; c</userinput> "
+"(can also be combine with the greater than or equal to operator)."
+msgstr ""
+
+#: C/genius.xml:1521(synopsis)
+#, no-wrap
+msgid "a&lt;=&gt;b"
+msgstr ""
+
+#: C/genius.xml:1523(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:1535(synopsis)
+#, fuzzy, no-wrap
+msgid "a and b"
+msgstr "Carrega e executa"
+
+#: C/genius.xml:1537(para)
+msgid ""
+"Logical and. Returns true if both <varname>a</varname> and <varname>b</"
+"varname> are true, else returns false. If given numbers, nonzero numbers are "
+"treated as true."
+msgstr ""
+
+#: C/genius.xml:1548(synopsis)
+#, fuzzy, no-wrap
+msgid "a or b"
+msgstr "' ou '"
+
+#: C/genius.xml:1550(para)
+msgid ""
+"Logical or. Returns true if both <varname>a</varname> or <varname>b</"
+"varname> are true, else returns false. If given numbers, nonzero numbers are "
+"treated as true."
+msgstr ""
+
+#: C/genius.xml:1562(synopsis)
+#, no-wrap
+msgid "a xor b"
+msgstr ""
+
+#: C/genius.xml:1564(para)
+msgid ""
+"Logical xor. Returns true exactly one of <varname>a</varname> or <varname>b</"
+"varname> is true, else returns false. If given numbers, nonzero numbers are "
+"treated as true."
+msgstr ""
+
+#: C/genius.xml:1576(synopsis)
+#, no-wrap
+msgid "not a"
+msgstr ""
+
+#: C/genius.xml:1578(para)
+msgid "Logical not. Returns the logical negation of <varname>a</varname>"
+msgstr ""
+
+#: C/genius.xml:1586(synopsis)
+#, no-wrap
+msgid "-a"
+msgstr ""
+
+#: C/genius.xml:1588(para)
+msgid ""
+"Negation operator. Returns the negative of a number or a matrix (works "
+"elementwise on a matrix)."
+msgstr ""
+
+#: C/genius.xml:1596(synopsis)
+#, no-wrap
+msgid "&amp;a"
+msgstr ""
+
+#: C/genius.xml:1598(para)
+msgid ""
+"Variable referencing (to pass a reference to a variable). See <xref linkend="
+"\"genius-gel-references\"/>."
+msgstr ""
+
+#: C/genius.xml:1607(synopsis) C/genius.xml:2228(userinput)
+#, no-wrap
+msgid "*a"
+msgstr ""
+
+#: C/genius.xml:1609(para)
+msgid ""
+"Variable dereferencing (to access a referenced variable). See <xref linkend="
+"\"genius-gel-references\"/>."
+msgstr ""
+
+#: C/genius.xml:1618(synopsis)
+#, no-wrap
+msgid "a'"
+msgstr ""
+
+#: C/genius.xml:1620(para)
+msgid ""
+"Matrix conjugate transpose. That is, rows and columns get swapped and we "
+"take complex conjugate of all entries. That is if the i,j element of "
+"<varname>a</varname> is x+iy, then the j,i element of <userinput>a'</"
+"userinput> is x-iy."
+msgstr ""
+
+#: C/genius.xml:1629(synopsis)
+#, no-wrap
+msgid "a.'"
+msgstr ""
+
+#: C/genius.xml:1631(para)
+msgid ""
+"Matrix transpose, does not conjugate the entries. That is, the i,j element "
+"of <varname>a</varname> becomes the j,i element of <userinput>a.'</"
+"userinput>."
+msgstr ""
+
+#: C/genius.xml:1640(synopsis)
+#, no-wrap
+msgid "a@(b,c)"
+msgstr ""
+
+#: C/genius.xml:1642(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:1653(synopsis)
+#, no-wrap
+msgid "a@(b,)"
+msgstr ""
+
+#: C/genius.xml:1655(para)
+msgid ""
+"Get row of a matrix (or multiple rows if <varname>b</varname> is a vector)."
+msgstr ""
+
+#: C/genius.xml:1663(synopsis)
+#, no-wrap
+msgid "a@(b,:)"
+msgstr ""
+
+#: C/genius.xml:1665(para) C/genius.xml:1686(para)
+msgid "Same as above."
+msgstr ""
+
+#: C/genius.xml:1673(synopsis)
+#, no-wrap
+msgid "a@(,c)"
+msgstr ""
+
+#: C/genius.xml:1675(para)
+msgid ""
+"Get column of a matrix (or columns if <varname>c</varname> is a vector)."
+msgstr ""
+
+#: C/genius.xml:1684(synopsis)
+#, no-wrap
+msgid "a@(:,c)"
+msgstr ""
+
+#: C/genius.xml:1694(synopsis)
+#, no-wrap
+msgid "a@(b)"
+msgstr ""
+
+#: C/genius.xml:1696(para)
+msgid ""
+"Get an element from a matrix treating it as a vector. This will traverse the "
+"matrix row-wise."
+msgstr ""
+
+#: C/genius.xml:1705(synopsis)
+#, no-wrap
+msgid "a:b"
+msgstr ""
+
+#: C/genius.xml:1709(programlisting)
+#, no-wrap
+msgid ""
+"A@(2:4,)\n"
+"\t     "
+msgstr ""
+
+#: C/genius.xml:1707(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:1719(synopsis)
+#, no-wrap
+msgid "a:b:c"
+msgstr ""
+
+#: C/genius.xml:1724(programlisting)
+#, no-wrap
+msgid ""
+"genius&gt; 1:2:9\n"
+"=\n"
+"`[1, 3, 5, 7, 9]\n"
+msgstr ""
+
+#: C/genius.xml:1721(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:1734(synopsis)
+#, no-wrap
+msgid "(a)i"
+msgstr ""
+
+#: C/genius.xml:1740(programlisting)
+#, no-wrap
+msgid ""
+"(a)*1i\n"
+"\t     "
+msgstr ""
+
+#: C/genius.xml:1736(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:1748(synopsis)
+#, no-wrap
+msgid "`a"
+msgstr ""
+
+#: C/genius.xml:1750(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:1758(synopsis)
+#, no-wrap
+msgid "a swapwith b"
+msgstr ""
+
+#: C/genius.xml:1760(para)
+msgid ""
+"Swap value of <varname>a</varname> with the value of <varname>b</varname>. "
+"Currently does not operate on ranges of matrix elements. It returns "
+"<constant>null</constant>. Available from version 1.0.13."
+msgstr ""
+
+#: C/genius.xml:1771(synopsis)
+#, fuzzy, no-wrap
+msgid "increment a"
+msgstr "Incremento em X:"
+
+#: C/genius.xml:1773(para)
+msgid ""
+"Increment the variable <varname>a</varname> by 1. If <varname>a</varname> is "
+"a matrix, then increment each element. This is equivalent to <userinput>a=a"
+"+1</userinput>, but it is somewhat faster. It returns <constant>null</"
+"constant>. Available from version 1.0.13."
+msgstr ""
+
+#: C/genius.xml:1784(synopsis)
+#, fuzzy, no-wrap
+msgid "increment a by b"
+msgstr "Incremento em X:"
+
+#: C/genius.xml:1786(para)
+msgid ""
+"Increment the variable <varname>a</varname> by <varname>b</varname>. If "
+"<varname>a</varname> is a matrix, then increment each element. This is "
+"equivalent to <userinput>a=a+b</userinput>, but it is somewhat faster. It "
+"returns <constant>null</constant>. Available from version 1.0.13."
+msgstr ""
+
+#: C/genius.xml:1800(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:1806(para)
+msgid ""
+"The comparison operators (except for the &lt;=&gt; operator, which behaves "
+"normally), are not strictly binary operators, they can in fact be grouped in "
+"the normal mathematical way, e.g.: (1&lt;x&lt;=y&lt;5) is a legal boolean "
+"expression and means just what it should, that is (1&lt;x and x≤y and y&lt;5)"
+msgstr ""
+
+#: C/genius.xml:1812(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:1827(title)
+msgid "Programming with GEL"
+msgstr ""
+
+#: C/genius.xml:1830(title)
+#, fuzzy
+msgid "Conditionals"
+msgstr "Adição"
+
+#: C/genius.xml:1831(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:1845(programlisting)
+#, no-wrap
+msgid "if a=5 then a=a-1\n"
+msgstr ""
+
+#: C/genius.xml:1848(programlisting)
+#, no-wrap
+msgid "if a==5 then a:=a-1\n"
+msgstr ""
+
+#: C/genius.xml:1837(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:1854(title)
+msgid "Loops"
+msgstr ""
+
+#: C/genius.xml:1857(title)
+msgid "While Loops"
+msgstr ""
+
+#: C/genius.xml:1858(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:1871(title)
+msgid "For Loops"
+msgstr ""
+
+#: C/genius.xml:1878(programlisting)
+#, no-wrap
+msgid "for i = 1 to 20 by 2 do print(i)\n"
+msgstr ""
+
+#: C/genius.xml:1872(para)
+msgid ""
+"Syntax: <placeholder-1/> Loop with identifier being set to all values from "
+"<literal>&lt;from&gt;</literal> to <literal>&lt;to&gt;</literal>, optionally "
+"using an increment other than 1. These are faster, nicer and more compact "
+"than the normal loops such as above, but less flexible. The identifier must "
+"be an identifier and can't be a dereference. The value of identifier is the "
+"last value of identifier, or <literal>&lt;from&gt;</literal> if body was "
+"never evaluated. The variable is guaranteed to be initialized after a loop, "
+"so you can safely use it. Also the <literal>&lt;from&gt;</literal>, "
+"<literal>&lt;to&gt;</literal> and <literal>&lt;increment&gt;</literal> must "
+"be non complex values. The <literal>&lt;to&gt;</literal> is not guaranteed "
+"to be hit, but will never be overshot, for example the following prints out "
+"odd numbers from 1 to 19: <placeholder-2/>"
+msgstr ""
+
+#: C/genius.xml:1886(programlisting)
+#, no-wrap
+msgid "for x = 0 to 1 by 0.1 do print(x)\n"
+msgstr ""
+
+#: C/genius.xml:1891(programlisting)
+#, no-wrap
+msgid "for x = 0 to 1 by 1/10 do print(x)\n"
+msgstr ""
+
+#: C/genius.xml:1881(para)
+msgid ""
+"When one of the values is a floating point number, then the final check is "
+"done to within 2^-20 of the step size. That is, even if we overshoot by "
+"2^-20 times the \"by\" above, we still execute the last iteration. This way "
+"<placeholder-1/> does the expected even though adding 0.1 ten times becomes "
+"just slightly more 1.0 due to the way that floating point numbers are stored "
+"in base 2 (there is no 0.1, the actual number stored is just ever so "
+"slightly bigger). This is not perfect but it handles the majority of the "
+"cases. If you want to avoid dealing with this issue, use actual rational "
+"numbers for example: <placeholder-2/> This check is done only from version "
+"1.0.16 onwards, so execution of your code may differ on older versions."
+msgstr ""
+
+#: C/genius.xml:1898(title)
+msgid "Foreach Loops"
+msgstr ""
+
+#: C/genius.xml:1906(programlisting)
+#, no-wrap
+msgid "for n in [1,2:3,4] do print(n)\n"
+msgstr ""
+
+#: C/genius.xml:1911(programlisting)
+#, no-wrap
+msgid "for n in RowsOf ([1,2:3,4]) do print(n)\n"
+msgstr ""
+
+#: C/genius.xml:1899(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:1918(title)
+msgid "Break and Continue"
+msgstr ""
+
+#: C/genius.xml:1919(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:1932(title)
+msgid "Sums and Products"
+msgstr ""
+
+#: C/genius.xml:1933(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:1944(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:1947(para)
+msgid ""
+"For floating point numbers the same roundoff error protection is done as in "
+"the for loop. See <xref linkend=\"genius-gel-loops-for\"/>."
+msgstr ""
+
+#: C/genius.xml:1954(title)
+#, fuzzy
+msgid "Comparison Operators"
+msgstr "Comparação (<=>)"
+
+#: C/genius.xml:1955(para)
+msgid ""
+"The following standard comparison operators are supported in GEL and have "
+"the obvious meaning: <literal>==</literal>, <literal>&gt;=</literal>, "
+"<literal>&lt;=</literal>, <literal>!=</literal>, <literal>&lt;&gt;</"
+"literal>, <literal>&lt;</literal>, <literal>&gt;</literal>. They return "
+"<constant>true</constant> or <constant>false</constant>. The operators "
+"<literal>!=</literal> and <literal>&lt;&gt;</literal> are the same thing and "
+"mean \"is not equal to\". GEL also supports the operator <literal>&lt;=&gt;</"
+"literal>, which returns -1 if left side is smaller, 0 if both sides are "
+"equal, 1 if left side is larger."
+msgstr ""
+
+#: C/genius.xml:1974(programlisting)
+#, no-wrap
+msgid ""
+"if a=b then c\n"
+"if a==b then c\n"
+msgstr ""
+
+#: C/genius.xml:1970(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:1983(para)
+msgid ""
+"All the comparison operators (except for the <literal>&lt;=&gt;</literal> "
+"operator, which behaves normally), are not strictly binary operators, they "
+"can in fact be grouped in the normal mathematical way, e.g.: (<literal>1&lt;"
+"x&lt;=y&lt;5</literal>) is a legal boolean expression and means just what it "
+"should, that is (1&lt;x and x≤y and y&lt;5)"
+msgstr ""
+
+#: C/genius.xml:1992(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:2003(title)
+msgid "Global Variables and Scope of Variables"
+msgstr ""
+
+#: C/genius.xml:2004(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:2027(programlisting)
+#, no-wrap
+msgid ""
+"function f() = (a:=5; g());\n"
+"function g() = print(a);\n"
+"f();\n"
+msgstr ""
+
+#: C/genius.xml:2013(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:2036(programlisting)
+#, no-wrap
+msgid ""
+"function f() = (a:=5; g());\n"
+"function g() = print(a);\n"
+"a:=10;\n"
+"f();\n"
+msgstr ""
+
+#: C/genius.xml:2032(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:2050(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:2057(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&gt; </prompt><userinput>function f(x) = "
+"sin(x)^2</userinput>\n"
+"= (`(x)=(sin(x)^2))\n"
+"<prompt>genius&gt; </prompt><userinput>function f(x) = sin(x)^2</userinput>\n"
+"= (`(x)=(sin(x)^2))\n"
+"<prompt>genius&gt; </prompt><userinput>function g(x) = ((function "
+"sin(x)=x^10);f(x))</userinput>\n"
+"= (`(x)=((sin:=(`(x)=(x^10)));f(x)))\n"
+"<prompt>genius&gt; </prompt><userinput>g(10)</userinput>\n"
+"= 1e20\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:2077(programlisting)
+#, no-wrap
+msgid ""
+"a=6;\n"
+"function f() = (a:=5);\n"
+"f();\n"
+msgstr ""
+
+#: C/genius.xml:2088(programlisting)
+#, no-wrap
+msgid "set(`a,3)\n"
+msgstr ""
+
+#: C/genius.xml:2091(programlisting)
+#, no-wrap
+msgid "set(\"a\",3)\n"
+msgstr ""
+
+#: C/genius.xml:2072(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 "
+"<link linkend=\"gel-function-set\"><function>set</function></link> 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:2094(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:2100(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:2111(para)
+msgid ""
+"There are also true local variables that 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:2124(title)
+#, fuzzy
+msgid "Parameter variables"
+msgstr "variável de parâmetro (t):"
+
+#: C/genius.xml:2125(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:2136(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:2142(para)
+msgid "Some parameters are built-in and modify the behaviour of genius."
+msgstr ""
+
+#: C/genius.xml:2148(title)
+msgid "Returning"
+msgstr ""
+
+#: C/genius.xml:2149(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:2171(title)
+#, fuzzy
+msgid "References"
+msgstr "_Preferências"
+
+#: C/genius.xml:2172(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:2180(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:2190(para)
+msgid ""
+"The details of how references work and the syntax is similar to the C "
+"language. The operator <literal>&amp;</literal> references a variable and "
+"<literal>*</literal> dereferences a variable. Both can only be applied to an "
+"identifier, so <literal>**a</literal> is not a legal expression in GEL."
+msgstr ""
+
+#: C/genius.xml:2197(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:2213(title)
+msgid "Lvalues"
+msgstr ""
+
+#: C/genius.xml:2219(userinput)
+#, no-wrap
+msgid "a"
+msgstr ""
+
+#: C/genius.xml:2221(para)
+msgid ""
+"Identifier. Here we would be setting the variable of name <varname>a</"
+"varname>."
+msgstr ""
+
+#: C/genius.xml:2230(para)
+msgid ""
+"Dereference of an identifier. This will set whatever variable <varname>a</"
+"varname> points to."
+msgstr ""
+
+#: C/genius.xml:2237(userinput)
+#, no-wrap
+msgid "a@(&lt;region&gt;)"
+msgstr ""
+
+#: C/genius.xml:2239(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:2214(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:2250(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 ""
+
+#: C/genius.xml:2248(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:2266(title)
+msgid "Advanced Programming with GEL"
+msgstr ""
+
+#: C/genius.xml:2269(title)
+msgid "Error Handling"
+msgstr ""
+
+#: C/genius.xml:2270(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:2280(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:2277(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:2292(title)
+msgid "Toplevel Syntax"
+msgstr ""
+
+#: C/genius.xml:2293(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:2306(programlisting)
+#, no-wrap
+msgid ""
+"if Something() then\n"
+"  DoSomething()\n"
+"else\n"
+"  DoSomethingElse()\n"
+msgstr ""
+
+#: C/genius.xml:2303(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:2320(programlisting)
+#, no-wrap
+msgid ""
+"if Something() then (\n"
+"  DoSomething()\n"
+") else (\n"
+"  DoSomethingElse()\n"
+")\n"
+msgstr ""
+
+#: C/genius.xml:2312(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:2330(title)
+#, fuzzy
+msgid "Returning Functions"
+msgstr "Funções"
+
+#: C/genius.xml:2343(programlisting)
+#, no-wrap
+msgid ""
+"function f() = (\n"
+"  k = 5;\n"
+"  `(x) = (x+k)\n"
+")\n"
+msgstr ""
+
+#: C/genius.xml:2350(programlisting)
+#, no-wrap
+msgid ""
+"g = f();\n"
+"g(5)\n"
+msgstr ""
+
+#: C/genius.xml:2331(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:2359(programlisting)
+#, no-wrap
+msgid ""
+"function f() = (\n"
+"  k := 5;\n"
+"  function r(x) = (x+k);\n"
+"  k := 10;\n"
+"  r\n"
+")\n"
+msgstr ""
+
+#: C/genius.xml:2355(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:2401(programlisting)
+#, no-wrap
+msgid ""
+"function f() = (\n"
+"  k := 5;\n"
+"  function r(x) [k] = (x+k);\n"
+"  k := 10;\n"
+"  r\n"
+")\n"
+msgstr ""
+
+#: C/genius.xml:2390(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:2423(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 ""
+
+#: C/genius.xml:2412(para)
+msgid ""
+"When you want the function to not have any private dictionary then 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:2439(title)
+#, fuzzy
+msgid "True Local Variables"
+msgstr ""
+"\n"
+"Variáveis locais:\n"
+
+#: C/genius.xml:2443(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 ""
+
+#: C/genius.xml:2440(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:2472(programlisting)
+#, no-wrap
+msgid ""
+"function f(g,x) = (\n"
+"  local g,x,k;\n"
+"  k := 5;\n"
+"  g(x)\n"
+");\n"
+msgstr ""
+
+#: C/genius.xml:2462(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:2489(programlisting)
+#, no-wrap
+msgid ""
+"function f(g,x) = (\n"
+"  local *;\n"
+"  k := 5;\n"
+"  g(x)\n"
+");\n"
+msgstr ""
+
+#: C/genius.xml:2483(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:2496(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:2504(title)
+msgid "GEL Startup Procedure"
+msgstr ""
+
+#: C/genius.xml:2505(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:2509(para)
+msgid ""
+"If you ever change the library in its installed place, you’ll have to first "
+"compile it with <command>genius --compile loader.gel &gt; lib.cgel</command>"
+msgstr ""
+
+#: C/genius.xml:2516(title)
+#, fuzzy
+msgid "Loading Programs"
+msgstr "_Programas"
+
+#: C/genius.xml:2519(programlisting)
+#, no-wrap
+msgid ""
+"load program1.gel program2.gel\n"
+"load \"Weird File Name With SPACES.gel\"\n"
+msgstr ""
+
+#: C/genius.xml:2523(programlisting)
+#, no-wrap
+msgid ""
+"cd directory_with_gel_programs\n"
+"ls *.gel\n"
+msgstr ""
+
+#: C/genius.xml:2517(para)
+msgid ""
+"Sometimes you have a larger program that you wrote into a file and want to "
+"read in that file. In these situations, you have two options. You can keep "
+"the functions you use most inside the <filename>~/.geniusinit</filename> "
+"file. Or if you want to load up a file in a middle of a session (or from "
+"within another file), you can type <command>load &lt;list of filenames&gt;</"
+"command> at the prompt. This has to be done on the top level and not inside "
+"any function or whatnot, and it cannot be part of any expression. It also "
+"has a slightly different syntax than the rest of genius, more similiar to a "
+"shell. You can enter the file in quotes. If you use the '' quotes, you will "
+"get exactly the string that you typed, if you use the \"\" quotes, special "
+"characters will be unescaped as they are for strings. Example: "
+"<placeholder-1/> There are also <command>cd</command>, <command>pwd</"
+"command> and <command>ls</command> commands built in. <command>cd</command> "
+"will take one argument, <command>ls</command> will take an argument 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:2533(title)
+msgid "Matrices in GEL"
+msgstr ""
+
+#: C/genius.xml:2535(para)
+msgid ""
+"Genius has support for vectors and matrices and a sizable library of matrix "
+"manipulation and linear algebra functions."
+msgstr ""
+
+#: C/genius.xml:2541(title)
+msgid "Entering Matrices"
+msgstr ""
+
+#: C/genius.xml:2550(programlisting)
+#, no-wrap
+msgid "[1,2,3;4,5,6;7,8,9]\n"
+msgstr ""
+
+#: C/genius.xml:2553(programlisting)
+#, no-wrap
+msgid ""
+"[1, 2, 3\n"
+" 4, 5, 6\n"
+" 7, 8, 9]\n"
+msgstr ""
+
+#: C/genius.xml:2542(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:2563(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 ""
+
+#: C/genius.xml:2570(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 ""
+
+#: C/genius.xml:2560(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:2580(programlisting)
+#, no-wrap
+msgid ""
+"[1, 2, 3\n"
+" 4, 5\n"
+" 6]\n"
+msgstr ""
+
+#: C/genius.xml:2585(programlisting)
+#, no-wrap
+msgid ""
+"\n"
+"[1, 2, 3\n"
+" 4, 5, 0\n"
+" 6, 0, 0]\n"
+msgstr ""
+
+#: C/genius.xml:2578(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:2592(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:2598(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:2608(title)
+#, fuzzy
+msgid "Conjugate Transpose and Transpose Operator"
+msgstr "Conjuga a transposta de uma matriz (adjunto)"
+
+#: C/genius.xml:2616(programlisting)
+#, no-wrap
+msgid "[1,2,3]*[4,5,6]'\n"
+msgstr ""
+
+#: C/genius.xml:2621(programlisting)
+#, no-wrap
+msgid "[1,2,3]*[4,5,6i].'\n"
+msgstr ""
+
+#: C/genius.xml:2609(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:2624(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:2634(title) C/genius.xml:5653(title)
+msgid "Linear Algebra"
+msgstr "Álgebra linear"
+
+#: C/genius.xml:2635(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:2642(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:2650(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:2658(para)
+msgid ""
+"In general when Genius computes the basis of a certain vectorspace (for "
+"example with the <link linkend=\"gel-function-NullSpace"
+"\"><function>NullSpace</function></link>) 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:2665(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 <link linkend=\"gel-function-rref\"><function>rref</function></link> will "
+"be very fast."
+msgstr ""
+
+#: C/genius.xml:2678(title)
+#, fuzzy
+msgid "Polynomials in GEL"
+msgstr "Polinômios"
+
+#: C/genius.xml:2680(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:2687(title)
+#, fuzzy
+msgid "Using Polynomials"
+msgstr "Polinômios"
+
+#: C/genius.xml:2693(programlisting)
+#, no-wrap
+msgid "[1,2,3]\n"
+msgstr ""
+
+#: C/genius.xml:2696(programlisting)
+#, no-wrap
+msgid "1 + 2*x + 3*x^2\n"
+msgstr ""
+
+#: C/genius.xml:2688(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:2708(programlisting)
+#, no-wrap
+msgid "PolyToString([1,2,3],\"y\")\n"
+msgstr ""
+
+#: C/genius.xml:2711(programlisting)
+#, no-wrap
+msgid "3*y^2 + 2*y + 1\n"
+msgstr ""
+
+#: C/genius.xml:2718(programlisting)
+#, no-wrap
+msgid ""
+"f = PolyToFunction([0,1,1])\n"
+"f(2)\n"
+msgstr ""
+
+#: C/genius.xml:2699(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:2722(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:2734(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:2744(title)
+#, fuzzy
+msgid "Set Theory in GEL"
+msgstr "Teoria dos conjuntos"
+
+#: C/genius.xml:2746(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:2752(title)
+msgid "Using Sets"
+msgstr ""
+
+#: C/genius.xml:2753(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:2761(para)
+msgid ""
+"To build a set out of a vector, use the <link linkend=\"gel-function-MakeSet"
+"\"><function>MakeSet</function></link> function. Currently, it will just "
+"return a new vector where every element is unique. "
+"<screen><prompt>genius&gt; </prompt><userinput>MakeSet([1,2,2,3])</"
+"userinput>\n"
+"= [1, 2, 3]\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:2770(para)
+msgid ""
+"Similarly there are functions <link linkend=\"gel-function-Union"
+"\"><function>Union</function></link>, <link linkend=\"gel-function-"
+"Intersection\"><function>Intersection</function></link>, <link linkend=\"gel-"
+"function-SetMinus\"><function>SetMinus</function></link>, which are rather "
+"self explanatory. For example: <screen><prompt>genius&gt; </"
+"prompt><userinput>Union([1,2,3], [1,2,4])</userinput>\n"
+"= [1, 2, 4, 3]\n"
+"</screen> Note that no order is guaranteed for the return values. If you "
+"wish to sort the vector you should use the <link linkend=\"gel-function-"
+"SortVector\"><function>SortVector</function></link> function."
+msgstr ""
+
+#: C/genius.xml:2784(para)
+msgid ""
+"For testing membership, there are functions <link linkend=\"gel-function-IsIn"
+"\"><function>IsIn</function></link> and <link linkend=\"gel-function-IsSubset"
+"\"><function>IsSubset</function></link>, which return a boolean value. For "
+"example: <screen><prompt>genius&gt; </prompt><userinput>IsIn (1, [0,1,2])</"
+"userinput>\n"
+"= true\n"
+"</screen> The input <userinput>IsIn(x,X)</userinput> is of course equivalent "
+"to <userinput>IsSubset([x],X)</userinput>. Note that since the empty set is "
+"a subset of every set, <userinput>IsSubset(null,X)</userinput> is always "
+"true."
+msgstr ""
+
+#: C/genius.xml:2803(title)
+#, fuzzy
+msgid "List of GEL functions"
+msgstr "Função NULA!"
+
+#: C/genius.xml:2809(programlisting)
+#, fuzzy, no-wrap
+msgid "help FunctionName\n"
+msgstr "  help NomeDaFunção\n"
+
+#. &gel-function-list;
+#: C/genius.xml:2807(para)
+#, fuzzy
+msgid ""
+"To get help on a specific function from the console type: <placeholder-1/>"
+msgstr ""
+"\n"
+"Para ajuda sobre uma função específica digite:\n"
+
+#: C/genius.xml:2814(title)
+msgid "Commands"
+msgstr "Comandos"
+
+#: C/genius.xml:2817(term)
+msgid "<anchor id=\"gel-command-help\"/>help"
+msgstr ""
+
+#: C/genius.xml:2819(synopsis)
+#, no-wrap
+msgid "help"
+msgstr ""
+
+#: C/genius.xml:2820(synopsis)
+#, fuzzy, no-wrap
+msgid "help FunctionName"
+msgstr "  help NomeDaFunção\n"
+
+#: C/genius.xml:2821(para)
+#, fuzzy
+msgid "Print help (or help on a function/command)."
+msgstr "Mostra a ajuda (ou ajuda sobre uma função/comando)"
+
+#: C/genius.xml:2826(term)
+msgid "<anchor id=\"gel-command-load\"/>load"
+msgstr ""
+
+#: C/genius.xml:2828(synopsis)
+#, no-wrap
+msgid "load \"file.gel\""
+msgstr ""
+
+#: C/genius.xml:2829(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:2835(term)
+msgid "<anchor id=\"gel-command-cd\"/>cd"
+msgstr ""
+
+#: C/genius.xml:2837(synopsis)
+#, no-wrap
+msgid "cd /directory/name"
+msgstr ""
+
+#: C/genius.xml:2838(para)
+msgid "Change working directory to <filename>/directory/name</filename>."
+msgstr ""
+
+#: C/genius.xml:2843(term)
+msgid "<anchor id=\"gel-command-pwd\"/>pwd"
+msgstr ""
+
+#: C/genius.xml:2845(synopsis)
+#, no-wrap
+msgid "pwd"
+msgstr ""
+
+#: C/genius.xml:2846(para)
+#, fuzzy
+msgid "Print the current working directory."
+msgstr "Mostra o diretório atual"
+
+#: C/genius.xml:2851(term)
+msgid "<anchor id=\"gel-command-ls\"/>ls"
+msgstr ""
+
+#: C/genius.xml:2853(synopsis)
+#, no-wrap
+msgid "ls"
+msgstr ""
+
+#: C/genius.xml:2854(para)
+#, fuzzy
+msgid "List files in the current directory."
+msgstr "Lista arquivos no diretório atual"
+
+#: C/genius.xml:2859(term)
+msgid "<anchor id=\"gel-command-plugin\"/>plugin"
+msgstr ""
+
+#: C/genius.xml:2861(synopsis)
+#, no-wrap
+msgid "plugin plugin_name"
+msgstr ""
+
+#: C/genius.xml:2862(para)
+msgid ""
+"Load a plugin. Plugin of that name must be installed on the system in the "
+"proper directory."
+msgstr ""
+
+#: C/genius.xml:2870(title)
+msgid "Basic"
+msgstr "Básico"
+
+#: C/genius.xml:2873(term)
+msgid "<anchor id=\"gel-function-AskButtons\"/>AskButtons"
+msgstr ""
+
+#: C/genius.xml:2875(synopsis)
+#, no-wrap
+msgid "AskButtons (query)"
+msgstr ""
+
+#: C/genius.xml:2876(synopsis)
+#, no-wrap
+msgid "AskButtons (query, button1, ...)"
+msgstr ""
+
+#: C/genius.xml:2877(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:2887(term)
+msgid "<anchor id=\"gel-function-AskString\"/>AskString"
+msgstr ""
+
+#: C/genius.xml:2889(synopsis)
+#, no-wrap
+msgid "AskString (query)"
+msgstr ""
+
+#: C/genius.xml:2890(synopsis)
+#, no-wrap
+msgid "AskString (query, default)"
+msgstr ""
+
+#: C/genius.xml:2891(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:2899(term)
+msgid "<anchor id=\"gel-function-Compose\"/>Compose"
+msgstr ""
+
+#: C/genius.xml:2901(synopsis)
+#, no-wrap
+msgid "Compose (f,g)"
+msgstr ""
+
+#: C/genius.xml:2902(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:2907(term)
+msgid "<anchor id=\"gel-function-ComposePower\"/>ComposePower"
+msgstr ""
+
+#: C/genius.xml:2909(synopsis)
+#, no-wrap
+msgid "ComposePower (f,n,x)"
+msgstr ""
+
+#: C/genius.xml:2910(para)
+msgid ""
+"Compose and execute a function with itself <varname>n</varname> times, "
+"passing <varname>x</varname> as argument. Returning <varname>x</varname> if "
+"<varname>n</varname> equals 0. Example: <screen><prompt>genius&gt;</prompt> "
+"<userinput>function f(x) = x^2 ;</userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>ComposePower (f,3,7)</userinput>\n"
+"= 5764801\n"
+"<prompt>genius&gt;</prompt> <userinput>f(f(f(7)))</userinput>\n"
+"= 5764801\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:2924(term)
+msgid "<anchor id=\"gel-function-Evaluate\"/>Evaluate"
+msgstr ""
+
+#: C/genius.xml:2926(synopsis)
+#, no-wrap
+msgid "Evaluate (str)"
+msgstr ""
+
+#: C/genius.xml:2927(para)
+#, fuzzy
+msgid "Parses and evaluates a string."
+msgstr "Analisar e avaliar uma string"
+
+#: C/genius.xml:2933(term)
+msgid "<anchor id=\"gel-function-GetCurrentModulo\"/>GetCurrentModulo"
+msgstr ""
+
+#: C/genius.xml:2935(synopsis)
+#, no-wrap
+msgid "GetCurrentModulo"
+msgstr ""
+
+#: C/genius.xml:2936(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:2944(term)
+msgid "<anchor id=\"gel-function-Identity\"/>Identity"
+msgstr ""
+
+#: C/genius.xml:2946(synopsis)
+#, no-wrap
+msgid "Identity (x)"
+msgstr ""
+
+#: C/genius.xml:2947(para)
+#, fuzzy
+msgid "Identity function, returns its argument."
+msgstr "Função identidade, retorna o seu argumento"
+
+#: C/genius.xml:2952(term)
+msgid "<anchor id=\"gel-function-IntegerFromBoolean\"/>IntegerFromBoolean"
+msgstr ""
+
+#: C/genius.xml:2954(synopsis)
+#, no-wrap
+msgid "IntegerFromBoolean (bval)"
+msgstr ""
+
+#: C/genius.xml:2955(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:2966(term)
+msgid "<anchor id=\"gel-function-IsBoolean\"/>IsBoolean"
+msgstr ""
+
+#: C/genius.xml:2968(synopsis)
+#, no-wrap
+msgid "IsBoolean (arg)"
+msgstr ""
+
+#: C/genius.xml:2969(para)
+#, fuzzy
+msgid "Check if argument is a boolean (and not a number)."
+msgstr "Verifica se um argumento é um booleano (e não um número)"
+
+#: C/genius.xml:2974(term)
+msgid "<anchor id=\"gel-function-IsDefined\"/>IsDefined"
+msgstr ""
+
+#: C/genius.xml:2976(synopsis)
+#, no-wrap
+msgid "IsDefined (id)"
+msgstr ""
+
+#: C/genius.xml:2977(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:2985(term)
+msgid "<anchor id=\"gel-function-IsFunction\"/>IsFunction"
+msgstr ""
+
+#: C/genius.xml:2987(synopsis)
+#, fuzzy, no-wrap
+msgid "IsFunction (arg)"
+msgstr "Função"
+
+#: C/genius.xml:2988(para)
+#, fuzzy
+msgid "Check if argument is a function."
+msgstr "Verifica se o argumento é uma função"
+
+#: C/genius.xml:2993(term)
+msgid ""
+"<anchor id=\"gel-function-IsFunctionOrIdentifier\"/>IsFunctionOrIdentifier"
+msgstr ""
+
+#: C/genius.xml:2995(synopsis)
+#, no-wrap
+msgid "IsFunctionOrIdentifier (arg)"
+msgstr ""
+
+#: C/genius.xml:2996(para)
+#, fuzzy
+msgid "Check if argument is a function or an identifier."
+msgstr "Verifica se o argumento é uma função ou um identificador"
+
+#: C/genius.xml:3001(term)
+msgid "<anchor id=\"gel-function-IsFunctionRef\"/>IsFunctionRef"
+msgstr ""
+
+#: C/genius.xml:3003(synopsis)
+#, no-wrap
+msgid "IsFunctionRef (arg)"
+msgstr ""
+
+#: C/genius.xml:3004(para)
+#, fuzzy
+msgid ""
+"Check if argument is a function reference. This includes variable references."
+msgstr "Verifica se o argumento é uma referência para uma função"
+
+#: C/genius.xml:3010(term)
+msgid "<anchor id=\"gel-function-IsMatrix\"/>IsMatrix"
+msgstr ""
+
+#: C/genius.xml:3012(synopsis)
+#, fuzzy, no-wrap
+msgid "IsMatrix (arg)"
+msgstr "É uma matriz quadrada"
+
+#: C/genius.xml:3013(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:3020(term)
+msgid "<anchor id=\"gel-function-IsNull\"/>IsNull"
+msgstr ""
+
+#: C/genius.xml:3022(synopsis)
+#, no-wrap
+msgid "IsNull (arg)"
+msgstr ""
+
+#: C/genius.xml:3023(para)
+#, fuzzy
+msgid "Check if argument is a <constant>null</constant>."
+msgstr "Verifica se o argumento é um null"
+
+#: C/genius.xml:3028(term)
+msgid "<anchor id=\"gel-function-IsString\"/>IsString"
+msgstr ""
+
+#: C/genius.xml:3030(synopsis)
+#, fuzzy, no-wrap
+msgid "IsString (arg)"
+msgstr "String"
+
+#: C/genius.xml:3031(para)
+#, fuzzy
+msgid "Check if argument is a text string."
+msgstr "Verifica se o argumento é uma string de texto"
+
+#: C/genius.xml:3036(term)
+msgid "<anchor id=\"gel-function-IsValue\"/>IsValue"
+msgstr ""
+
+#: C/genius.xml:3038(synopsis)
+#, no-wrap
+msgid "IsValue (arg)"
+msgstr ""
+
+#: C/genius.xml:3039(para)
+#, fuzzy
+msgid "Check if argument is a number."
+msgstr "Verifica se o argumento é um número"
+
+#: C/genius.xml:3044(term)
+msgid "<anchor id=\"gel-function-Parse\"/>Parse"
+msgstr ""
+
+#: C/genius.xml:3046(synopsis)
+#, no-wrap
+msgid "Parse (str)"
+msgstr ""
+
+#: C/genius.xml:3047(para)
+msgid ""
+"Parses but does not evaluate a string. Note that certain pre-computation is "
+"done during the parsing stage."
+msgstr ""
+
+#: C/genius.xml:3053(term)
+msgid "<anchor id=\"gel-function-SetFunctionFlags\"/>SetFunctionFlags"
+msgstr ""
+
+#: C/genius.xml:3055(synopsis)
+#, no-wrap
+msgid "SetFunctionFlags (id,flags...)"
+msgstr ""
+
+#: C/genius.xml:3056(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:3065(term)
+msgid "<anchor id=\"gel-function-SetHelp\"/>SetHelp"
+msgstr ""
+
+#: C/genius.xml:3067(synopsis)
+#, no-wrap
+msgid "SetHelp (id,category,desc)"
+msgstr ""
+
+#: C/genius.xml:3068(para)
+#, fuzzy
+msgid "Set the category and help description line for a function."
+msgstr "Define a categoria e a linha de descrição de ajuda para uma função"
+
+#: C/genius.xml:3073(term)
+msgid "<anchor id=\"gel-function-SetHelpAlias\"/>SetHelpAlias"
+msgstr ""
+
+#: C/genius.xml:3075(synopsis)
+#, no-wrap
+msgid "SetHelpAlias (id,alias)"
+msgstr ""
+
+#: C/genius.xml:3076(para)
+#, fuzzy
+msgid "Sets up a help alias."
+msgstr "Configura um apelido de ajuda"
+
+#: C/genius.xml:3081(term)
+msgid "<anchor id=\"gel-function-chdir\"/>chdir"
+msgstr ""
+
+#: C/genius.xml:3083(synopsis)
+#, no-wrap
+msgid "chdir (dir)"
+msgstr ""
+
+#: C/genius.xml:3084(para)
+msgid "Changes current directory, same as the <command>cd</command>."
+msgstr ""
+
+#: C/genius.xml:3089(term)
+msgid "<anchor id=\"gel-function-CurrentTime\"/>CurrentTime"
+msgstr ""
+
+#: C/genius.xml:3091(synopsis)
+#, no-wrap
+msgid "CurrentTime"
+msgstr ""
+
+#: C/genius.xml:3092(para)
+msgid ""
+"Returns the current UNIX time with microsecond precision as a floating point "
+"number. That is, returns the number of seconds since January 1st 1970."
+msgstr ""
+
+#: C/genius.xml:3097(term)
+msgid "<anchor id=\"gel-function-display\"/>display"
+msgstr ""
+
+#: C/genius.xml:3099(synopsis)
+#, no-wrap
+msgid "display (str,expr)"
+msgstr ""
+
+#: C/genius.xml:3100(para)
+#, fuzzy
+msgid "Display a string and an expression with a colon to separate them."
+msgstr "Mostra uma string e uma expressão"
+
+#: C/genius.xml:3105(term)
+msgid "<anchor id=\"gel-function-error\"/>error"
+msgstr ""
+
+#: C/genius.xml:3107(synopsis)
+#, no-wrap
+msgid "error (str)"
+msgstr ""
+
+#: C/genius.xml:3108(para)
+#, fuzzy
+msgid "Prints a string to the error stream (onto the console)."
+msgstr "Mostra uma string para o fluxo de erros"
+
+#: C/genius.xml:3113(term)
+msgid "<anchor id=\"gel-function-exit\"/>exit"
+msgstr ""
+
+#: C/genius.xml:3115(synopsis)
+#, no-wrap
+msgid "exit"
+msgstr ""
+
+#: C/genius.xml:3116(para)
+msgid "Aliases: <function>quit</function>"
+msgstr ""
+
+#: C/genius.xml:3117(para)
+#, fuzzy
+msgid "Exits the program."
+msgstr "Sai do programa"
+
+#: C/genius.xml:3122(term)
+msgid "<anchor id=\"gel-function-false\"/>false"
+msgstr ""
+
+#: C/genius.xml:3124(synopsis)
+#, no-wrap
+msgid "false"
+msgstr ""
+
+#: C/genius.xml:3125(para)
+msgid "Aliases: <function>False</function><function>FALSE</function>"
+msgstr ""
+
+#: C/genius.xml:3126(para)
+#, fuzzy
+msgid "The <constant>false</constant> boolean value."
+msgstr "O valor booleano false"
+
+#: C/genius.xml:3131(term)
+msgid "<anchor id=\"gel-function-manual\"/>manual"
+msgstr ""
+
+#: C/genius.xml:3133(synopsis)
+#, fuzzy, no-wrap
+msgid "manual"
+msgstr "  manual\n"
+
+#: C/genius.xml:3134(para)
+#, fuzzy
+msgid "Displays the user manual."
+msgstr "Mostra o manual do usuário"
+
+#: C/genius.xml:3139(term)
+msgid "<anchor id=\"gel-function-print\"/>print"
+msgstr ""
+
+#: C/genius.xml:3141(synopsis)
+#, no-wrap
+msgid "print (str)"
+msgstr ""
+
+#: C/genius.xml:3142(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:3148(term)
+msgid "<anchor id=\"gel-function-printn\"/>printn"
+msgstr ""
+
+#: C/genius.xml:3150(synopsis)
+#, no-wrap
+msgid "printn (str)"
+msgstr ""
+
+#: C/genius.xml:3151(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:3157(term)
+msgid "<anchor id=\"gel-function-protect\"/>protect"
+msgstr ""
+
+#: C/genius.xml:3159(synopsis)
+#, no-wrap
+msgid "protect (id)"
+msgstr ""
+
+#: C/genius.xml:3160(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:3166(term)
+msgid "<anchor id=\"gel-function-ProtectAll\"/>ProtectAll"
+msgstr ""
+
+#: C/genius.xml:3168(synopsis)
+#, no-wrap
+msgid "ProtectAll ()"
+msgstr ""
+
+#: C/genius.xml:3169(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:3177(term)
+msgid "<anchor id=\"gel-function-set\"/>set"
+msgstr ""
+
+#: C/genius.xml:3179(synopsis)
+#, no-wrap
+msgid "set (id,val)"
+msgstr ""
+
+#: C/genius.xml:3183(programlisting)
+#, no-wrap
+msgid ""
+"set(`x,1)\n"
+"\t    "
+msgstr ""
+
+#: C/genius.xml:3180(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:3191(term)
+msgid "<anchor id=\"gel-function-string\"/>string"
+msgstr ""
+
+#: C/genius.xml:3193(synopsis)
+#, fuzzy, no-wrap
+msgid "string (s)"
+msgstr "string"
+
+#: C/genius.xml:3194(para)
+msgid "Make a string. This will make a string out of any argument."
+msgstr ""
+
+#: C/genius.xml:3199(term)
+msgid "<anchor id=\"gel-function-true\"/>true"
+msgstr ""
+
+#: C/genius.xml:3201(synopsis)
+#, no-wrap
+msgid "true"
+msgstr ""
+
+#: C/genius.xml:3202(para)
+msgid "Aliases: <function>True</function><function>TRUE</function>"
+msgstr ""
+
+#: C/genius.xml:3203(para)
+#, fuzzy
+msgid "The <constant>true</constant> boolean value."
+msgstr "O valor booleano true"
+
+#: C/genius.xml:3208(term)
+msgid "<anchor id=\"gel-function-undefine\"/>undefine"
+msgstr ""
+
+#: C/genius.xml:3210(synopsis)
+#, fuzzy, no-wrap
+msgid "undefine (id)"
+msgstr "%s indefinida"
+
+#: C/genius.xml:3211(para)
+#, fuzzy
+msgid "Alias: <function>Undefine</function>"
+msgstr "%s: função indefinida"
+
+#: C/genius.xml:3212(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:3221(term)
+msgid "<anchor id=\"gel-function-UndefineAll\"/>UndefineAll"
+msgstr ""
+
+#: C/genius.xml:3223(synopsis)
+#, no-wrap
+msgid "UndefineAll ()"
+msgstr ""
+
+#: C/genius.xml:3224(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:3235(term)
+msgid "<anchor id=\"gel-function-unprotect\"/>unprotect"
+msgstr ""
+
+#: C/genius.xml:3237(synopsis)
+#, no-wrap
+msgid "unprotect (id)"
+msgstr ""
+
+#: C/genius.xml:3238(para)
+#, fuzzy
+msgid "Unprotect a variable from being modified."
+msgstr "Desprotege uma variável contra modificações"
+
+#: C/genius.xml:3243(term)
+msgid "<anchor id=\"gel-function-UserVariables\"/>UserVariables"
+msgstr ""
+
+#: C/genius.xml:3245(synopsis)
+#, fuzzy, no-wrap
+msgid "UserVariables ()"
+msgstr "Mostrar _variáveis do usuário"
+
+#: C/genius.xml:3246(para)
+#, fuzzy
+msgid ""
+"Return a vector of identifiers of user defined (unprotected) global "
+"variables."
+msgstr ""
+"Devolve um vetor de todas os nomes de variáveis globais desprotegidas "
+"(definidas pelo usuário)."
+
+#: C/genius.xml:3252(term)
+msgid "<anchor id=\"gel-function-wait\"/>wait"
+msgstr ""
+
+#: C/genius.xml:3254(synopsis)
+#, no-wrap
+msgid "wait (secs)"
+msgstr ""
+
+#: C/genius.xml:3255(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:3262(term)
+msgid "<anchor id=\"gel-function-version\"/>version"
+msgstr ""
+
+#: C/genius.xml:3264(synopsis)
+#, fuzzy, no-wrap
+msgid "version"
+msgstr "Divisão"
+
+#: C/genius.xml:3265(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:3271(term)
+msgid "<anchor id=\"gel-function-warranty\"/>warranty"
+msgstr ""
+
+#: C/genius.xml:3273(synopsis)
+#, fuzzy, no-wrap
+msgid "warranty"
+msgstr "_Garantia"
+
+#: C/genius.xml:3274(para)
+#, fuzzy
+msgid "Gives the warranty information."
+msgstr "Dá as informações de garantia"
+
+#: C/genius.xml:3282(title)
+msgid "Parameters"
+msgstr "Parâmetros"
+
+#: C/genius.xml:3285(term)
+msgid "<anchor id=\"gel-function-ChopTolerance\"/>ChopTolerance"
+msgstr ""
+
+#: C/genius.xml:3287(synopsis)
+#, no-wrap
+msgid "ChopTolerance = number"
+msgstr ""
+
+#: C/genius.xml:3288(para)
+#, fuzzy
+msgid "Tolerance of the <function>Chop</function> function."
+msgstr "Tolerância da função de Chop"
+
+#: C/genius.xml:3293(term)
+msgid ""
+"<anchor id=\"gel-function-ContinuousNumberOfTries\"/>ContinuousNumberOfTries"
+msgstr ""
+
+#: C/genius.xml:3295(synopsis)
+#, no-wrap
+msgid "ContinuousNumberOfTries = number"
+msgstr ""
+
+#: C/genius.xml:3296(para)
+#, fuzzy
+msgid "How many iterations to try to find the limit for continuity and limits."
+msgstr ""
+"Quantas iterações tentar para encontrar o limite para continuidade e limites"
+
+#: C/genius.xml:3301(term)
+msgid "<anchor id=\"gel-function-ContinuousSFS\"/>ContinuousSFS"
+msgstr ""
+
+#: C/genius.xml:3303(synopsis)
+#, no-wrap
+msgid "ContinuousSFS = number"
+msgstr ""
+
+#: C/genius.xml:3304(para)
+#, fuzzy
+msgid ""
+"How many successive steps to be within tolerance for calculation of "
+"continuity."
+msgstr ""
+"Quantos passos sucessivos para estar dentro da tolerância para cálculos de "
+"continuidade"
+
+#: C/genius.xml:3309(term)
+msgid "<anchor id=\"gel-function-ContinuousTolerance\"/>ContinuousTolerance"
+msgstr ""
+
+#: C/genius.xml:3311(synopsis)
+#, no-wrap
+msgid "ContinuousTolerance = number"
+msgstr ""
+
+#: C/genius.xml:3312(para)
+#, fuzzy
+msgid "Tolerance for continuity of functions and for calculating the limit."
+msgstr "Tolerância para continuidade de funções e para calcular o limite"
+
+#: C/genius.xml:3317(term)
+msgid ""
+"<anchor id=\"gel-function-DerivativeNumberOfTries\"/>DerivativeNumberOfTries"
+msgstr ""
+
+#: C/genius.xml:3319(synopsis)
+#, no-wrap
+msgid "DerivativeNumberOfTries = number"
+msgstr ""
+
+#: C/genius.xml:3320(para)
+#, fuzzy
+msgid "How many iterations to try to find the limit for derivative."
+msgstr "Quantas iterações tentar para encontrar o limite de derivadas"
+
+#: C/genius.xml:3325(term)
+msgid "<anchor id=\"gel-function-DerivativeSFS\"/>DerivativeSFS"
+msgstr ""
+
+#: C/genius.xml:3327(synopsis)
+#, no-wrap
+msgid "DerivativeSFS = number"
+msgstr ""
+
+#: C/genius.xml:3328(para)
+#, fuzzy
+msgid ""
+"How many successive steps to be within tolerance for calculation of "
+"derivative."
+msgstr ""
+"Quantos passos sucessivos para estar dentro da tolerância para cálculos de "
+"derivada"
+
+#: C/genius.xml:3333(term)
+msgid "<anchor id=\"gel-function-DerivativeTolerance\"/>DerivativeTolerance"
+msgstr ""
+
+#: C/genius.xml:3335(synopsis)
+#, no-wrap
+msgid "DerivativeTolerance = number"
+msgstr ""
+
+#: C/genius.xml:3336(para)
+#, fuzzy
+msgid "Tolerance for calculating the derivatives of functions."
+msgstr "Tolerância para calcular as derivadas de funções"
+
+#: C/genius.xml:3341(term)
+msgid ""
+"<anchor id=\"gel-function-ErrorFunctionTolerance\"/>ErrorFunctionTolerance"
+msgstr ""
+
+#: C/genius.xml:3343(synopsis)
+#, no-wrap
+msgid "ErrorFunctionTolerance = number"
+msgstr ""
+
+#: C/genius.xml:3344(para)
+msgid ""
+"Tolerance of the <link linkend=\"gel-function-ErrorFunction"
+"\"><function>ErrorFunction</function></link>."
+msgstr ""
+
+#: C/genius.xml:3349(term)
+msgid "<anchor id=\"gel-function-FloatPrecision\"/>FloatPrecision"
+msgstr ""
+
+#: C/genius.xml:3351(synopsis)
+#, no-wrap
+msgid "FloatPrecision = number"
+msgstr ""
+
+#: C/genius.xml:3352(para)
+#, fuzzy
+msgid "Floating point precision."
+msgstr "Precisão de ponto flutuante"
+
+#: C/genius.xml:3357(term)
+msgid "<anchor id=\"gel-function-FullExpressions\"/>FullExpressions"
+msgstr ""
+
+#: C/genius.xml:3359(synopsis)
+#, no-wrap
+msgid "FullExpressions = boolean"
+msgstr ""
+
+#: C/genius.xml:3360(para)
+#, fuzzy
+msgid "Print full expressions, even if more than a line."
+msgstr "Mostra expressões inteiras, mesmo se for mais de uma linha"
+
+#: C/genius.xml:3365(term)
+msgid ""
+"<anchor id=\"gel-function-GaussDistributionTolerance\"/"
+">GaussDistributionTolerance"
+msgstr ""
+
+#: C/genius.xml:3367(synopsis)
+#, no-wrap
+msgid "GaussDistributionTolerance = number"
+msgstr ""
+
+#: C/genius.xml:3368(para)
+msgid ""
+"Tolerance of the <link linkend=\"gel-function-GaussDistribution"
+"\"><function>GaussDistribution</function></link> function."
+msgstr ""
+
+#: C/genius.xml:3373(term)
+msgid "<anchor id=\"gel-function-IntegerOutputBase\"/>IntegerOutputBase"
+msgstr ""
+
+#: C/genius.xml:3375(synopsis)
+#, fuzzy, no-wrap
+msgid "IntegerOutputBase = number"
+msgstr "Base de saída inteira"
+
+#: C/genius.xml:3376(para)
+#, fuzzy
+msgid "Integer output base."
+msgstr "Base de saída inteira"
+
+#: C/genius.xml:3381(term)
+msgid ""
+"<anchor id=\"gel-function-IsPrimeMillerRabinReps\"/>IsPrimeMillerRabinReps"
+msgstr ""
+
+#: C/genius.xml:3383(synopsis)
+#, no-wrap
+msgid "IsPrimeMillerRabinReps = number"
+msgstr ""
+
+#: C/genius.xml:3384(para)
+#, fuzzy
+msgid ""
+"Number of extra Miller-Rabin tests to run on a number before declaring it a "
+"prime in <link linkend=\"gel-function-IsPrime\"><function>IsPrime</"
+"function></link>."
+msgstr ""
+"Número de testes de Miller-Rabin extras para executar em um número antes de "
+"declará-lo um primo em IsPrime"
+
+#: C/genius.xml:3389(term)
+msgid "<anchor id=\"gel-function-LinePlotDrawLegends\"/>LinePlotDrawLegends"
+msgstr ""
+
+#: C/genius.xml:3391(synopsis)
+#, no-wrap
+msgid "LinePlotDrawLegends = true"
+msgstr ""
+
+#: C/genius.xml:3392(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:3399(term)
+msgid ""
+"<anchor id=\"gel-function-LinePlotDrawAxisLabels\"/>LinePlotDrawAxisLabels"
+msgstr ""
+
+#: C/genius.xml:3401(synopsis)
+#, no-wrap
+msgid "LinePlotDrawAxisLabels = true"
+msgstr ""
+
+#: C/genius.xml:3402(para)
+msgid ""
+"Tells genius to draw the axis labels 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:3409(term)
+msgid ""
+"<anchor id=\"gel-function-LinePlotVariableNames\"/>LinePlotVariableNames"
+msgstr ""
+
+#: C/genius.xml:3411(synopsis)
+#, no-wrap
+msgid "LinePlotVariableNames = [\"x\",\"y\",\"z\",\"t\"]"
+msgstr ""
+
+#: C/genius.xml:3412(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:3419(term)
+msgid "<anchor id=\"gel-function-LinePlotWindow\"/>LinePlotWindow"
+msgstr ""
+
+#: C/genius.xml:3421(synopsis)
+#, no-wrap
+msgid "LinePlotWindow = [x1,x2,y1,y2]"
+msgstr ""
+
+#: C/genius.xml:3422(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:3430(term)
+msgid "<anchor id=\"gel-function-MaxDigits\"/>MaxDigits"
+msgstr ""
+
+#: C/genius.xml:3432(synopsis)
+#, no-wrap
+msgid "MaxDigits = number"
+msgstr ""
+
+#: C/genius.xml:3433(para)
+#, fuzzy
+msgid "Maximum digits to display."
+msgstr "Dígitos máximos para mostrar"
+
+#: C/genius.xml:3438(term)
+msgid "<anchor id=\"gel-function-MaxErrors\"/>MaxErrors"
+msgstr ""
+
+#: C/genius.xml:3440(synopsis)
+#, no-wrap
+msgid "MaxErrors = number"
+msgstr ""
+
+#: C/genius.xml:3441(para)
+#, fuzzy
+msgid "Maximum errors to display."
+msgstr "Erros máximos para mostrar"
+
+#: C/genius.xml:3446(term)
+msgid "<anchor id=\"gel-function-MixedFractions\"/>MixedFractions"
+msgstr ""
+
+#: C/genius.xml:3448(synopsis)
+#, no-wrap
+msgid "MixedFractions = boolean"
+msgstr ""
+
+#: C/genius.xml:3449(para)
+#, fuzzy
+msgid "If true, mixed fractions are printed."
+msgstr "Se true, frações mistas são mostradas"
+
+#: C/genius.xml:3454(term)
+#, fuzzy
+msgid ""
+"<anchor id=\"gel-function-NumericalIntegralFunction\"/"
+">NumericalIntegralFunction"
+msgstr "A função usada para integração numérica em NumericalIntegral"
+
+#: C/genius.xml:3456(synopsis)
+#, no-wrap
+msgid "NumericalIntegralFunction = function"
+msgstr ""
+
+#: C/genius.xml:3457(para)
+#, fuzzy
+msgid ""
+"The function used for numerical integration in <link linkend=\"gel-function-"
+"NumericalIntegral\"><function>NumericalIntegral</function></link>."
+msgstr "A função usada para integração numérica em NumericalIntegral"
+
+#: C/genius.xml:3462(term)
+#, fuzzy
+msgid ""
+"<anchor id=\"gel-function-NumericalIntegralSteps\"/>NumericalIntegralSteps"
+msgstr "A função usada para integração numérica em NumericalIntegral"
+
+#: C/genius.xml:3464(synopsis)
+#, no-wrap
+msgid "NumericalIntegralSteps = number"
+msgstr ""
+
+#: C/genius.xml:3465(para)
+msgid ""
+"Steps to perform in <link linkend=\"gel-function-NumericalIntegral"
+"\"><function>NumericalIntegral</function></link>."
+msgstr ""
+
+#: C/genius.xml:3470(term)
+msgid "<anchor id=\"gel-function-OutputChopExponent\"/>OutputChopExponent"
+msgstr ""
+
+#: C/genius.xml:3472(synopsis)
+#, no-wrap
+msgid "OutputChopExponent = number"
+msgstr ""
+
+#: C/genius.xml:3473(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:3480(para)
+msgid ""
+"Output is never chopped if <function>OutputChopExponent</function> is zero. "
+"It must be a non-negative integer."
+msgstr ""
+
+#: C/genius.xml:3484(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:3495(term)
+msgid ""
+"<anchor id=\"gel-function-OutputChopWhenExponent\"/>OutputChopWhenExponent"
+msgstr ""
+
+#: C/genius.xml:3497(synopsis)
+#, no-wrap
+msgid "OutputChopWhenExponent = number"
+msgstr ""
+
+#: C/genius.xml:3498(para)
+msgid ""
+"When to chop output. See <link linkend=\"gel-function-OutputChopExponent"
+"\"><function>OutputChopExponent</function></link>."
+msgstr ""
+
+#: C/genius.xml:3505(term)
+msgid "<anchor id=\"gel-function-OutputStyle\"/>OutputStyle"
+msgstr ""
+
+#: C/genius.xml:3507(synopsis)
+#, no-wrap
+msgid "OutputStyle = string"
+msgstr ""
+
+#: C/genius.xml:3508(para)
+msgid ""
+"Output style, this can be <literal>normal</literal>, <literal>latex</"
+"literal>, <literal>mathml</literal> or <literal>troff</literal>."
+msgstr ""
+
+#: C/genius.xml:3515(programlisting)
+#, no-wrap
+msgid "OutputStyle = \"latex\"\n"
+msgstr ""
+
+#: C/genius.xml:3511(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:3522(term)
+msgid "<anchor id=\"gel-function-ResultsAsFloats\"/>ResultsAsFloats"
+msgstr ""
+
+#: C/genius.xml:3524(synopsis)
+#, fuzzy, no-wrap
+msgid "ResultsAsFloats = boolean"
+msgstr "Resultados como números reais"
+
+#: C/genius.xml:3525(para)
+#, fuzzy
+msgid "Convert all results to floats before printing."
+msgstr "Converte todos os resultados para números reais antes de mostrar"
+
+#: C/genius.xml:3530(term)
+msgid "<anchor id=\"gel-function-ScientificNotation\"/>ScientificNotation"
+msgstr ""
+
+#: C/genius.xml:3532(synopsis)
+#, fuzzy, no-wrap
+msgid "ScientificNotation = boolean"
+msgstr "Usa notação científica"
+
+#: C/genius.xml:3533(para)
+#, fuzzy
+msgid "Use scientific notation."
+msgstr "Usa notação científica"
+
+#: C/genius.xml:3538(term)
+msgid "<anchor id=\"gel-function-SlopefieldTicks\"/>SlopefieldTicks"
+msgstr ""
+
+#: C/genius.xml:3540(synopsis)
+#, fuzzy, no-wrap
+msgid "SlopefieldTicks = [vertical,horizontal]"
+msgstr "Número de escalas de campo de inclinação como um vetor [vertical,horizontal]."
+
+#: C/genius.xml:3541(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:3548(term)
+msgid ""
+"<anchor id=\"gel-function-SumProductNumberOfTries\"/>SumProductNumberOfTries"
+msgstr ""
+
+#: C/genius.xml:3550(synopsis)
+#, no-wrap
+msgid "SumProductNumberOfTries = number"
+msgstr ""
+
+#: C/genius.xml:3551(para)
+msgid ""
+"How many iterations to try for <link linkend=\"gel-function-InfiniteSum"
+"\"><function>InfiniteSum</function></link> and <link linkend=\"gel-function-"
+"InfiniteProduct\"><function>InfiniteProduct</function></link>."
+msgstr ""
+
+#: C/genius.xml:3556(term)
+msgid "<anchor id=\"gel-function-SumProductSFS\"/>SumProductSFS"
+msgstr ""
+
+#: C/genius.xml:3558(synopsis)
+#, no-wrap
+msgid "SumProductSFS = number"
+msgstr ""
+
+#: C/genius.xml:3559(para)
+msgid ""
+"How many successive steps to be within tolerance for <link linkend=\"gel-"
+"function-InfiniteSum\"><function>InfiniteSum</function></link> and <link "
+"linkend=\"gel-function-InfiniteProduct\"><function>InfiniteProduct</"
+"function></link>."
+msgstr ""
+
+#: C/genius.xml:3564(term)
+msgid "<anchor id=\"gel-function-SumProductTolerance\"/>SumProductTolerance"
+msgstr ""
+
+#: C/genius.xml:3566(synopsis)
+#, no-wrap
+msgid "SumProductTolerance = number"
+msgstr ""
+
+#: C/genius.xml:3567(para)
+msgid ""
+"Tolerance for <link linkend=\"gel-function-InfiniteSum"
+"\"><function>InfiniteSum</function></link> and <link linkend=\"gel-function-"
+"InfiniteProduct\"><function>InfiniteProduct</function></link>."
+msgstr ""
+
+#: C/genius.xml:3572(term)
+msgid ""
+"<anchor id=\"gel-function-SurfacePlotDrawLegends\"/>SurfacePlotDrawLegends"
+msgstr ""
+
+#: C/genius.xml:3574(synopsis)
+#, no-wrap
+msgid "SurfacePlotDrawLegends = true"
+msgstr ""
+
+#: C/genius.xml:3575(para)
+msgid ""
+"Tells genius to draw the legends for <link linkend=\"genius-gel-function-"
+"list-plotting\">surface plotting functions</link> such as <link linkend="
+"\"gel-function-SurfacePlot\"><function>SurfacePlot</function></link>."
+msgstr ""
+
+#: C/genius.xml:3582(term)
+msgid ""
+"<anchor id=\"gel-function-SurfacePlotVariableNames\"/"
+">SurfacePlotVariableNames"
+msgstr ""
+
+#: C/genius.xml:3584(synopsis)
+#, no-wrap
+msgid "SurfacePlotVariableNames = [\"x\",\"y\",\"z\"]"
+msgstr ""
+
+#: C/genius.xml:3585(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:3594(term)
+msgid "<anchor id=\"gel-function-SurfacePlotWindow\"/>SurfacePlotWindow"
+msgstr ""
+
+#: C/genius.xml:3596(synopsis)
+#, fuzzy, no-wrap
+msgid "SurfacePlotWindow = [x1,x2,y1,y2,z1,z2]"
+msgstr "Janela de gráfico de superfície (limites) como um vetor sêxtuplo da forma [x1,x2,y1,y2,z1,z2]"
+
+#: C/genius.xml:3597(para)
+msgid ""
+"Sets the limits for surface plotting (See <link linkend=\"gel-function-"
+"SurfacePlot\"><function>SurfacePlot</function></link>)."
+msgstr ""
+
+#: C/genius.xml:3602(term)
+msgid ""
+"<anchor id=\"gel-function-VectorfieldNormalized\"/>VectorfieldNormalized"
+msgstr ""
+
+#: C/genius.xml:3604(synopsis)
+#, no-wrap
+msgid "VectorfieldNormalized = true"
+msgstr ""
+
+#: C/genius.xml:3605(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:3612(term)
+msgid "<anchor id=\"gel-function-VectorfieldTicks\"/>VectorfieldTicks"
+msgstr ""
+
+#: C/genius.xml:3614(synopsis)
+#, fuzzy, no-wrap
+msgid "VectorfieldTicks = [vertical,horizontal]"
+msgstr "Número de escalas de campo de vetor como um vetor [vertical,horizontal]."
+
+#: C/genius.xml:3615(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:3625(title)
+msgid "Constants"
+msgstr "Constantes"
+
+#: C/genius.xml:3628(term)
+msgid "<anchor id=\"gel-function-CatalanConstant\"/>CatalanConstant"
+msgstr ""
+
+#: C/genius.xml:3630(synopsis)
+#, fuzzy, no-wrap
+msgid "CatalanConstant"
+msgstr "Constante de Catalan (0.915...)"
+
+#: C/genius.xml:3631(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:3634(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/CatalansConstant.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3642(term)
+msgid "<anchor id=\"gel-function-EulerConstant\"/>EulerConstant"
+msgstr ""
+
+#: C/genius.xml:3644(synopsis)
+#, fuzzy, no-wrap
+msgid "EulerConstant"
+msgstr "Gama constante de Euler"
+
+#: C/genius.xml:3645(para)
+msgid "Aliases: <function>gamma</function>"
+msgstr ""
+
+#: C/genius.xml:3646(para)
+msgid "Euler's Constant gamma. Sometimes called the Euler-Mascheroni constant."
+msgstr ""
+
+#: C/genius.xml:3650(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:3660(term)
+msgid "<anchor id=\"gel-function-GoldenRatio\"/>GoldenRatio"
+msgstr ""
+
+#: C/genius.xml:3662(synopsis)
+#, fuzzy, no-wrap
+msgid "GoldenRatio"
+msgstr "A razão áurea"
+
+#: C/genius.xml:3663(para)
+#, fuzzy
+msgid "The Golden Ratio."
+msgstr "A razão áurea"
+
+#: C/genius.xml:3664(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:3674(term)
+msgid "<anchor id=\"gel-function-Gravity\"/>Gravity"
+msgstr ""
+
+#: C/genius.xml:3676(synopsis)
+#, no-wrap
+msgid "Gravity"
+msgstr ""
+
+#: C/genius.xml:3677(para)
+#, fuzzy
+msgid "Free fall acceleration at sea level."
+msgstr "Aceleração em queda livre"
+
+#: C/genius.xml:3678(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Standard_gravity\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3686(term)
+msgid "<anchor id=\"gel-function-e\"/>e"
+msgstr ""
+
+#: C/genius.xml:3688(synopsis)
+#, no-wrap
+msgid "e"
+msgstr ""
+
+#: C/genius.xml:3689(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:3695(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:3705(term)
+msgid "<anchor id=\"gel-function-pi\"/>pi"
+msgstr ""
+
+#: C/genius.xml:3707(synopsis)
+#, no-wrap
+msgid "pi"
+msgstr ""
+
+#: C/genius.xml:3708(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:3712(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:3725(title)
+msgid "Numeric"
+msgstr "Numérico"
+
+#: C/genius.xml:3728(term)
+msgid "<anchor id=\"gel-function-AbsoluteValue\"/>AbsoluteValue"
+msgstr ""
+
+#: C/genius.xml:3730(synopsis)
+#, fuzzy, no-wrap
+msgid "AbsoluteValue (x)"
+msgstr "Valor absoluto"
+
+#: C/genius.xml:3731(para)
+msgid "Aliases: <function>abs</function>"
+msgstr ""
+
+#: C/genius.xml:3732(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:3737(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:3750(term)
+msgid "<anchor id=\"gel-function-Chop\"/>Chop"
+msgstr ""
+
+#: C/genius.xml:3752(synopsis)
+#, no-wrap
+msgid "Chop (x)"
+msgstr ""
+
+#: C/genius.xml:3753(para)
+#, fuzzy
+msgid "Replace very small number with zero."
+msgstr "Substitui um número muito pequeno por zero"
+
+#: C/genius.xml:3758(term)
+msgid "<anchor id=\"gel-function-ComplexConjugate\"/>ComplexConjugate"
+msgstr ""
+
+#: C/genius.xml:3760(synopsis)
+#, no-wrap
+msgid "ComplexConjugate (z)"
+msgstr ""
+
+#: C/genius.xml:3761(para)
+msgid "Aliases: <function>conj</function><function>Conj</function>"
+msgstr ""
+
+#: C/genius.xml:3762(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:3764(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Complex_conjugate\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3772(term)
+msgid "<anchor id=\"gel-function-Denominator\"/>Denominator"
+msgstr ""
+
+#: C/genius.xml:3774(synopsis)
+#, no-wrap
+msgid "Denominator (x)"
+msgstr ""
+
+#: C/genius.xml:3775(para)
+#, fuzzy
+msgid "Get the denominator of a rational number."
+msgstr "Obtém o denominador de um número racional"
+
+#: C/genius.xml:3776(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Denominator\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3784(term)
+msgid "<anchor id=\"gel-function-FractionalPart\"/>FractionalPart"
+msgstr ""
+
+#: C/genius.xml:3786(synopsis)
+#, no-wrap
+msgid "FractionalPart (x)"
+msgstr ""
+
+#: C/genius.xml:3787(para)
+#, fuzzy
+msgid "Return the fractional part of a number."
+msgstr "Devolve a parte fracional de um número"
+
+#: C/genius.xml:3788(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Fractional_part\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3796(term)
+msgid "<anchor id=\"gel-function-Im\"/>Im"
+msgstr ""
+
+#: C/genius.xml:3798(synopsis)
+#, no-wrap
+msgid "Im (z)"
+msgstr ""
+
+#: C/genius.xml:3799(para)
+msgid "Aliases: <function>ImaginaryPart</function>"
+msgstr ""
+
+#: C/genius.xml:3800(para)
+#, fuzzy
+msgid "Get the imaginary part of a complex number."
+msgstr "Obtém a parte imaginária de um número complexo"
+
+#: C/genius.xml:3801(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Imaginary_part\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:3809(term)
+msgid "<anchor id=\"gel-function-IntegerQuotient\"/>IntegerQuotient"
+msgstr ""
+
+#: C/genius.xml:3811(synopsis)
+#, no-wrap
+msgid "IntegerQuotient (m,n)"
+msgstr ""
+
+#: C/genius.xml:3812(para)
+msgid "Division without remainder."
+msgstr ""
+
+#: C/genius.xml:3817(term)
+msgid "<anchor id=\"gel-function-IsComplex\"/>IsComplex"
+msgstr ""
+
+#: C/genius.xml:3819(synopsis)
+#, no-wrap
+msgid "IsComplex (num)"
+msgstr ""
+
+#: C/genius.xml:3820(para)
+#, fuzzy
+msgid "Check if argument is a complex (non-real) number."
+msgstr "Verifica se um argumento é um número complexo (não real)"
+
+#: C/genius.xml:3825(term)
+msgid "<anchor id=\"gel-function-IsComplexRational\"/>IsComplexRational"
+msgstr ""
+
+#: C/genius.xml:3827(synopsis)
+#, no-wrap
+msgid "IsComplexRational (num)"
+msgstr ""
+
+#: C/genius.xml:3828(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:3834(term)
+msgid "<anchor id=\"gel-function-IsFloat\"/>IsFloat"
+msgstr ""
+
+#: C/genius.xml:3836(synopsis)
+#, no-wrap
+msgid "IsFloat (num)"
+msgstr ""
+
+#: C/genius.xml:3837(para)
+#, fuzzy
+msgid "Check if argument is a floating point number (non-complex)."
+msgstr "Verifica se um argumento é um número de ponto flutuante (não complexo)"
+
+#: C/genius.xml:3842(term)
+msgid "<anchor id=\"gel-function-IsGaussInteger\"/>IsGaussInteger"
+msgstr ""
+
+#: C/genius.xml:3844(synopsis)
+#, no-wrap
+msgid "IsGaussInteger (num)"
+msgstr ""
+
+#: C/genius.xml:3845(para)
+msgid "Aliases: <function>IsComplexInteger</function>"
+msgstr ""
+
+#: C/genius.xml:3846(para)
+#, fuzzy
+msgid "Check if argument is a possibly complex integer."
+msgstr "Verifica se um argumento é um possível inteiro complexo"
+
+#: C/genius.xml:3851(term)
+msgid "<anchor id=\"gel-function-IsInteger\"/>IsInteger"
+msgstr ""
+
+#: C/genius.xml:3853(synopsis)
+#, no-wrap
+msgid "IsInteger (num)"
+msgstr ""
+
+#: C/genius.xml:3854(para)
+#, fuzzy
+msgid "Check if argument is an integer (non-complex)."
+msgstr "Verifica se um argumento é um inteiro (não complexo)"
+
+#: C/genius.xml:3859(term)
+msgid "<anchor id=\"gel-function-IsNonNegativeInteger\"/>IsNonNegativeInteger"
+msgstr ""
+
+#: C/genius.xml:3861(synopsis)
+#, no-wrap
+msgid "IsNonNegativeInteger (num)"
+msgstr ""
+
+#: C/genius.xml:3862(para)
+#, fuzzy
+msgid "Check if argument is a non-negative real integer."
+msgstr "Verifica se um argumento é um inteiro não negativo e real"
+
+#: C/genius.xml:3867(term)
+msgid "<anchor id=\"gel-function-IsPositiveInteger\"/>IsPositiveInteger"
+msgstr ""
+
+#: C/genius.xml:3869(synopsis)
+#, no-wrap
+msgid "IsPositiveInteger (num)"
+msgstr ""
+
+#: C/genius.xml:3870(para)
+msgid "Aliases: <function>IsNaturalNumber</function>"
+msgstr ""
+
+#: C/genius.xml:3871(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:3877(term)
+msgid "<anchor id=\"gel-function-IsRational\"/>IsRational"
+msgstr ""
+
+#: C/genius.xml:3879(synopsis)
+#, no-wrap
+msgid "IsRational (num)"
+msgstr ""
+
+#: C/genius.xml:3880(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:3885(term)
+msgid "<anchor id=\"gel-function-IsReal\"/>IsReal"
+msgstr ""
+
+#: C/genius.xml:3887(synopsis)
+#, no-wrap
+msgid "IsReal (num)"
+msgstr ""
+
+#: C/genius.xml:3888(para)
+#, fuzzy
+msgid "Check if argument is a real number."
+msgstr "Verifica se um argumento é um número real"
+
+#: C/genius.xml:3893(term)
+msgid "<anchor id=\"gel-function-Numerator\"/>Numerator"
+msgstr ""
+
+#: C/genius.xml:3895(synopsis)
+#, no-wrap
+msgid "Numerator (x)"
+msgstr ""
+
+#: C/genius.xml:3896(para)
+#, fuzzy
+msgid "Get the numerator of a rational number."
+msgstr "Obtém o numerador de um número racional"
+
+#: C/genius.xml:3897(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Numerator\";>Wikipedia</ulink> "
+"for more information."
+msgstr ""
+
+#: C/genius.xml:3905(term)
+msgid "<anchor id=\"gel-function-Re\"/>Re"
+msgstr ""
+
+#: C/genius.xml:3907(synopsis)
+#, no-wrap
+msgid "Re (z)"
+msgstr ""
+
+#: C/genius.xml:3908(para)
+msgid "Aliases: <function>RealPart</function>"
+msgstr ""
+
+#: C/genius.xml:3909(para)
+#, fuzzy
+msgid "Get the real part of a complex number."
+msgstr "Obtém a parte real de um número complexo"
+
+#: C/genius.xml:3910(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Real_part\";>Wikipedia</ulink> "
+"for more information."
+msgstr ""
+
+#: C/genius.xml:3918(term)
+msgid "<anchor id=\"gel-function-Sign\"/>Sign"
+msgstr ""
+
+#: C/genius.xml:3920(synopsis)
+#, no-wrap
+msgid "Sign (x)"
+msgstr ""
+
+#: C/genius.xml:3921(para)
+msgid "Aliases: <function>sign</function>"
+msgstr ""
+
+#: C/genius.xml:3922(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:3932(term)
+msgid "<anchor id=\"gel-function-ceil\"/>ceil"
+msgstr ""
+
+#: C/genius.xml:3934(synopsis)
+#, no-wrap
+msgid "ceil (x)"
+msgstr ""
+
+#: C/genius.xml:3935(para)
+msgid "Aliases: <function>Ceiling</function>"
+msgstr ""
+
+#: C/genius.xml:3936(para)
+msgid ""
+"Get the lowest integer more than or equal to <varname>n</varname>. Examples: "
+"<screen><prompt>genius&gt;</prompt> <userinput>ceil(1.1)</userinput>\n"
+"= 2\n"
+"<prompt>genius&gt;</prompt> <userinput>ceil(-1.1)</userinput>\n"
+"= -1\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:3943(para)
+msgid ""
+"Note that you should be careful and notice that floating point numbers are "
+"stored an binary and so may not be what you expect. For example "
+"<userinput>ceil(420/4.2)</userinput> returns 101 instead of the expected "
+"100. This is because 4.2 is actually very slightly less than 4.2. Use "
+"rational representation <userinput>42/10</userinput> if you want exact "
+"arithmetic."
+msgstr ""
+
+#: C/genius.xml:3955(term)
+msgid "<anchor id=\"gel-function-exp\"/>exp"
+msgstr ""
+
+#: C/genius.xml:3957(synopsis)
+#, no-wrap
+msgid "exp (x)"
+msgstr ""
+
+#: C/genius.xml:3958(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:3964(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:3974(term)
+msgid "<anchor id=\"gel-function-float\"/>float"
+msgstr ""
+
+#: C/genius.xml:3976(synopsis)
+#, no-wrap
+msgid "float (x)"
+msgstr ""
+
+#: C/genius.xml:3977(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:3982(term)
+msgid "<anchor id=\"gel-function-floor\"/>floor"
+msgstr ""
+
+#: C/genius.xml:3984(synopsis)
+#, no-wrap
+msgid "floor (x)"
+msgstr ""
+
+#: C/genius.xml:3985(para)
+msgid "Aliases: <function>Floor</function>"
+msgstr ""
+
+#: C/genius.xml:3986(para)
+#, fuzzy
+msgid "Get the highest integer less than or equal to <varname>n</varname>."
+msgstr "Obtém o maior inteiro menor ou igual a n"
+
+#: C/genius.xml:3991(term)
+msgid "<anchor id=\"gel-function-ln\"/>ln"
+msgstr ""
+
+#: C/genius.xml:3993(synopsis)
+#, no-wrap
+msgid "ln (x)"
+msgstr ""
+
+#: C/genius.xml:3994(para)
+msgid "The natural logarithm, the logarithm to base <varname>e</varname>."
+msgstr ""
+
+#: C/genius.xml:3999(term)
+msgid "<anchor id=\"gel-function-log\"/>log"
+msgstr ""
+
+#: C/genius.xml:4001(synopsis)
+#, no-wrap
+msgid "log (x)"
+msgstr ""
+
+#: C/genius.xml:4002(synopsis)
+#, no-wrap
+msgid "log (x,b)"
+msgstr ""
+
+#: C/genius.xml:4003(para)
+msgid ""
+"Logarithm of <varname>x</varname> base <varname>b</varname> (calls <link "
+"linkend=\"gel-function-DiscreteLog\"><function>DiscreteLog</function></link> "
+"if in modulo mode), if base is not given, <link linkend=\"gel-function-e"
+"\"><varname>e</varname></link> is used."
+msgstr ""
+
+#: C/genius.xml:4008(term)
+msgid "<anchor id=\"gel-function-log10\"/>log10"
+msgstr ""
+
+#: C/genius.xml:4010(synopsis)
+#, no-wrap
+msgid "log10 (x)"
+msgstr ""
+
+#: C/genius.xml:4011(para)
+#, fuzzy
+msgid "Logarithm of <varname>x</varname> base 10."
+msgstr "Logaritmo de x na base 10"
+
+#: C/genius.xml:4016(term)
+msgid "<anchor id=\"gel-function-log2\"/>log2"
+msgstr ""
+
+#: C/genius.xml:4018(synopsis)
+#, no-wrap
+msgid "log2 (x)"
+msgstr ""
+
+#: C/genius.xml:4019(para)
+msgid "Aliases: <function>lg</function>"
+msgstr ""
+
+#: C/genius.xml:4020(para)
+#, fuzzy
+msgid "Logarithm of <varname>x</varname> base 2."
+msgstr "Logaritmo de x na base 2"
+
+#: C/genius.xml:4025(term)
+msgid "<anchor id=\"gel-function-max\"/>max"
+msgstr ""
+
+#: C/genius.xml:4027(synopsis)
+#, no-wrap
+msgid "max (a,args...)"
+msgstr ""
+
+#: C/genius.xml:4028(para)
+msgid "Aliases: <function>Max</function><function>Maximum</function>"
+msgstr ""
+
+#: C/genius.xml:4029(para)
+#, fuzzy
+msgid "Returns the maximum of arguments or matrix."
+msgstr "Devolve o máximo de argumentos ou uma matriz"
+
+#: C/genius.xml:4034(term)
+msgid "<anchor id=\"gel-function-min\"/>min"
+msgstr ""
+
+#: C/genius.xml:4036(synopsis)
+#, no-wrap
+msgid "min (a,args...)"
+msgstr ""
+
+#: C/genius.xml:4037(para)
+msgid "Aliases: <function>Min</function><function>Minimum</function>"
+msgstr ""
+
+#: C/genius.xml:4038(para)
+#, fuzzy
+msgid "Returns the minimum of arguments or matrix."
+msgstr "Devolve o mínimo de argumentos ou uma matriz"
+
+#: C/genius.xml:4043(term)
+msgid "<anchor id=\"gel-function-rand\"/>rand"
+msgstr ""
+
+#: C/genius.xml:4045(synopsis)
+#, no-wrap
+msgid "rand (size...)"
+msgstr ""
+
+#: C/genius.xml:4046(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:4053(term)
+msgid "<anchor id=\"gel-function-randint\"/>randint"
+msgstr ""
+
+#: C/genius.xml:4055(synopsis)
+#, no-wrap
+msgid "randint (max,size...)"
+msgstr ""
+
+#: C/genius.xml:4056(para)
+msgid ""
+"Generate random integer in the range <literal>[0,max)</literal>. If size is "
+"given then a matrix (if two numbers are specified) or vector (if one number "
+"is specified) of the given size returned. For example, "
+"<screen><prompt>genius&gt;</prompt> <userinput>randint(4)</userinput>\n"
+"= 3\n"
+"<prompt>genius&gt;</prompt> <userinput>randint(4,2)</userinput>\n"
+"=\n"
+"[0      1]\n"
+"<prompt>genius&gt;</prompt> <userinput>randint(4,2,3)</userinput>\n"
+"=\n"
+"[2      2       1\n"
+" 0      0       3]\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:4075(term)
+msgid "<anchor id=\"gel-function-round\"/>round"
+msgstr ""
+
+#: C/genius.xml:4077(synopsis)
+#, no-wrap
+msgid "round (x)"
+msgstr ""
+
+#: C/genius.xml:4078(para)
+msgid "Aliases: <function>Round</function>"
+msgstr ""
+
+#: C/genius.xml:4079(para)
+#, fuzzy
+msgid "Round a number."
+msgstr "Arredonda um número"
+
+#: C/genius.xml:4084(term)
+msgid "<anchor id=\"gel-function-sqrt\"/>sqrt"
+msgstr ""
+
+#: C/genius.xml:4086(synopsis)
+#, no-wrap
+msgid "sqrt (x)"
+msgstr ""
+
+#: C/genius.xml:4087(para)
+msgid "Aliases: <function>SquareRoot</function>"
+msgstr ""
+
+#: C/genius.xml:4088(para)
+msgid ""
+"The square root. When operating modulo some integer will return either a "
+"<constant>null</constant> or a vector of the square roots. Examples: "
+"<screen><prompt>genius&gt;</prompt> <userinput>sqrt(2)</userinput>\n"
+"= 1.41421356237\n"
+"<prompt>genius&gt;</prompt> <userinput>sqrt(-1)</userinput>\n"
+"= 1i\n"
+"<prompt>genius&gt;</prompt> <userinput>sqrt(4) mod 7</userinput>\n"
+"=\n"
+"[2      5]\n"
+"<prompt>genius&gt;</prompt> <userinput>2*2 mod 7</userinput>\n"
+"= 4\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:4100(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/SquareRoot.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4108(term)
+msgid "<anchor id=\"gel-function-trunc\"/>trunc"
+msgstr ""
+
+#: C/genius.xml:4110(synopsis)
+#, no-wrap
+msgid "trunc (x)"
+msgstr ""
+
+#: C/genius.xml:4111(para)
+msgid "Aliases: <function>Truncate</function><function>IntegerPart</function>"
+msgstr ""
+
+#: C/genius.xml:4112(para)
+#, fuzzy
+msgid "Truncate number to an integer (return the integer part)."
+msgstr "Tranca o número para um inteiro (retorna a parte inteira)"
+
+#: C/genius.xml:4120(title)
+msgid "Trigonometry"
+msgstr "Trigonometria"
+
+#: C/genius.xml:4123(term)
+msgid "<anchor id=\"gel-function-acos\"/>acos"
+msgstr ""
+
+#: C/genius.xml:4125(synopsis)
+#, no-wrap
+msgid "acos (x)"
+msgstr ""
+
+#: C/genius.xml:4126(para)
+msgid "Aliases: <function>arccos</function>"
+msgstr ""
+
+#: C/genius.xml:4127(para)
+#, fuzzy
+msgid "The arccos (inverse cos) function."
+msgstr "A função arccos (cos inverso)"
+
+#: C/genius.xml:4132(term)
+msgid "<anchor id=\"gel-function-acosh\"/>acosh"
+msgstr ""
+
+#: C/genius.xml:4134(synopsis)
+#, no-wrap
+msgid "acosh (x)"
+msgstr ""
+
+#: C/genius.xml:4135(para)
+msgid "Aliases: <function>arccosh</function>"
+msgstr ""
+
+#: C/genius.xml:4136(para)
+#, fuzzy
+msgid "The arccosh (inverse cosh) function."
+msgstr "A função arccosh (cosh inverso)"
+
+#: C/genius.xml:4141(term)
+msgid "<anchor id=\"gel-function-acot\"/>acot"
+msgstr ""
+
+#: C/genius.xml:4143(synopsis)
+#, no-wrap
+msgid "acot (x)"
+msgstr ""
+
+#: C/genius.xml:4144(para)
+msgid "Aliases: <function>arccot</function>"
+msgstr ""
+
+#: C/genius.xml:4145(para)
+#, fuzzy
+msgid "The arccot (inverse cot) function."
+msgstr "A função arccot (cot inverso)"
+
+#: C/genius.xml:4150(term)
+msgid "<anchor id=\"gel-function-acoth\"/>acoth"
+msgstr ""
+
+#: C/genius.xml:4152(synopsis)
+#, no-wrap
+msgid "acoth (x)"
+msgstr ""
+
+#: C/genius.xml:4153(para)
+msgid "Aliases: <function>arccoth</function>"
+msgstr ""
+
+#: C/genius.xml:4154(para)
+#, fuzzy
+msgid "The arccoth (inverse coth) function."
+msgstr "A função arccoth (coth inverso)"
+
+#: C/genius.xml:4159(term)
+msgid "<anchor id=\"gel-function-acsc\"/>acsc"
+msgstr ""
+
+#: C/genius.xml:4161(synopsis)
+#, no-wrap
+msgid "acsc (x)"
+msgstr ""
+
+#: C/genius.xml:4162(para)
+msgid "Aliases: <function>arccsc</function>"
+msgstr ""
+
+#: C/genius.xml:4163(para)
+#, fuzzy
+msgid "The inverse cosecant function."
+msgstr "A função cossecante inversa"
+
+#: C/genius.xml:4168(term)
+msgid "<anchor id=\"gel-function-acsch\"/>acsch"
+msgstr ""
+
+#: C/genius.xml:4170(synopsis)
+#, no-wrap
+msgid "acsch (x)"
+msgstr ""
+
+#: C/genius.xml:4171(para)
+msgid "Aliases: <function>arccsch</function>"
+msgstr ""
+
+#: C/genius.xml:4172(para)
+#, fuzzy
+msgid "The inverse hyperbolic cosecant function."
+msgstr "A função cossecante hiperbólica inversa"
+
+#: C/genius.xml:4177(term)
+msgid "<anchor id=\"gel-function-asec\"/>asec"
+msgstr ""
+
+#: C/genius.xml:4179(synopsis)
+#, no-wrap
+msgid "asec (x)"
+msgstr ""
+
+#: C/genius.xml:4180(para)
+msgid "Aliases: <function>arcsec</function>"
+msgstr ""
+
+#: C/genius.xml:4181(para)
+#, fuzzy
+msgid "The inverse secant function."
+msgstr "A função secante inversa"
+
+#: C/genius.xml:4186(term)
+msgid "<anchor id=\"gel-function-asech\"/>asech"
+msgstr ""
+
+#: C/genius.xml:4188(synopsis)
+#, no-wrap
+msgid "asech (x)"
+msgstr ""
+
+#: C/genius.xml:4189(para)
+msgid "Aliases: <function>arcsech</function>"
+msgstr ""
+
+#: C/genius.xml:4190(para)
+#, fuzzy
+msgid "The inverse hyperbolic secant function."
+msgstr "A função secante hiperbólica inversa"
+
+#: C/genius.xml:4195(term)
+msgid "<anchor id=\"gel-function-asin\"/>asin"
+msgstr ""
+
+#: C/genius.xml:4197(synopsis)
+#, no-wrap
+msgid "asin (x)"
+msgstr ""
+
+#: C/genius.xml:4198(para)
+msgid "Aliases: <function>arcsin</function>"
+msgstr ""
+
+#: C/genius.xml:4199(para)
+#, fuzzy
+msgid "The arcsin (inverse sin) function."
+msgstr "A função arcsen (sen inverso)"
+
+#: C/genius.xml:4204(term)
+msgid "<anchor id=\"gel-function-asinh\"/>asinh"
+msgstr ""
+
+#: C/genius.xml:4206(synopsis)
+#, no-wrap
+msgid "asinh (x)"
+msgstr ""
+
+#: C/genius.xml:4207(para)
+msgid "Aliases: <function>arcsinh</function>"
+msgstr ""
+
+#: C/genius.xml:4208(para)
+#, fuzzy
+msgid "The arcsinh (inverse sinh) function."
+msgstr "A função arcsenh (senh inverso)"
+
+#: C/genius.xml:4213(term)
+msgid "<anchor id=\"gel-function-atan\"/>atan"
+msgstr ""
+
+#: C/genius.xml:4215(synopsis)
+#, no-wrap
+msgid "atan (x)"
+msgstr ""
+
+#: C/genius.xml:4216(para)
+#, fuzzy
+msgid "Aliases: <function>arctan</function>"
+msgstr "Calcula a função arco-tangente"
+
+#: C/genius.xml:4217(para)
+#, fuzzy
+msgid "Calculates the arctan (inverse tan) function."
+msgstr "Calcula a função arco-tangente"
+
+#: C/genius.xml:4218(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:4227(term)
+msgid "<anchor id=\"gel-function-atanh\"/>atanh"
+msgstr ""
+
+#: C/genius.xml:4229(synopsis)
+#, no-wrap
+msgid "atanh (x)"
+msgstr ""
+
+#: C/genius.xml:4230(para)
+msgid "Aliases: <function>arctanh</function>"
+msgstr ""
+
+#: C/genius.xml:4231(para)
+#, fuzzy
+msgid "The arctanh (inverse tanh) function."
+msgstr "A função arctanh (tanh inversa)"
+
+#: C/genius.xml:4236(term)
+msgid "<anchor id=\"gel-function-atan2\"/>atan2"
+msgstr ""
+
+#: C/genius.xml:4238(synopsis)
+#, no-wrap
+msgid "atan2 (y, x)"
+msgstr ""
+
+#: C/genius.xml:4239(para)
+msgid "Aliases: <function>arctan2</function>"
+msgstr ""
+
+#: C/genius.xml:4240(para)
+msgid ""
+"Calculates the arctan2 function. If <userinput>x&gt;0</userinput> then it "
+"returns <userinput>atan(y/x)</userinput>. If <userinput>x&lt;0</userinput> "
+"then it returns <userinput>sign(y) * (pi - atan(|y/x|)</userinput>. When "
+"<userinput>x=0</userinput> it returns <userinput>sign(y) *\n"
+"\t  pi/2</userinput>. <userinput>atan2(0,0)</userinput> returns 0 rather "
+"then failing."
+msgstr ""
+
+#: C/genius.xml:4248(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:4257(term)
+msgid "<anchor id=\"gel-function-cos\"/>cos"
+msgstr ""
+
+#: C/genius.xml:4259(synopsis)
+#, no-wrap
+msgid "cos (x)"
+msgstr ""
+
+#: C/genius.xml:4260(para)
+#, fuzzy
+msgid "Calculates the cosine function."
+msgstr "Calcula a função cosseno"
+
+#: C/genius.xml:4261(para) C/genius.xml:4285(para) C/genius.xml:4309(para)
+#: C/genius.xml:4333(para) C/genius.xml:4357(para) C/genius.xml:4381(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/";
+"DefinitionsInTrigonometry.html\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4269(term)
+msgid "<anchor id=\"gel-function-cosh\"/>cosh"
+msgstr ""
+
+#: C/genius.xml:4271(synopsis)
+#, no-wrap
+msgid "cosh (x)"
+msgstr ""
+
+#: C/genius.xml:4272(para)
+#, fuzzy
+msgid "Calculates the hyperbolic cosine function."
+msgstr "Calcula a função cosseno hiperbólico"
+
+#: C/genius.xml:4273(para) C/genius.xml:4297(para) C/genius.xml:4321(para)
+#: C/genius.xml:4345(para) C/genius.xml:4369(para) C/genius.xml:4393(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/HyperbolicFunctions.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4281(term)
+msgid "<anchor id=\"gel-function-cot\"/>cot"
+msgstr ""
+
+#: C/genius.xml:4283(synopsis)
+#, no-wrap
+msgid "cot (x)"
+msgstr ""
+
+#: C/genius.xml:4284(para)
+#, fuzzy
+msgid "The cotangent function."
+msgstr "A função cotangente"
+
+#: C/genius.xml:4293(term)
+msgid "<anchor id=\"gel-function-coth\"/>coth"
+msgstr ""
+
+#: C/genius.xml:4295(synopsis)
+#, no-wrap
+msgid "coth (x)"
+msgstr ""
+
+#: C/genius.xml:4296(para)
+#, fuzzy
+msgid "The hyperbolic cotangent function."
+msgstr "A função cotangente hiperbólica"
+
+#: C/genius.xml:4305(term)
+msgid "<anchor id=\"gel-function-csc\"/>csc"
+msgstr ""
+
+#: C/genius.xml:4307(synopsis)
+#, no-wrap
+msgid "csc (x)"
+msgstr ""
+
+#: C/genius.xml:4308(para)
+#, fuzzy
+msgid "The cosecant function."
+msgstr "A função cossecante"
+
+#: C/genius.xml:4317(term)
+msgid "<anchor id=\"gel-function-csch\"/>csch"
+msgstr ""
+
+#: C/genius.xml:4319(synopsis)
+#, no-wrap
+msgid "csch (x)"
+msgstr ""
+
+#: C/genius.xml:4320(para)
+#, fuzzy
+msgid "The hyperbolic cosecant function."
+msgstr "A função cossecante hiperbólica"
+
+#: C/genius.xml:4329(term)
+msgid "<anchor id=\"gel-function-sec\"/>sec"
+msgstr ""
+
+#: C/genius.xml:4331(synopsis)
+#, no-wrap
+msgid "sec (x)"
+msgstr ""
+
+#: C/genius.xml:4332(para)
+#, fuzzy
+msgid "The secant function."
+msgstr "A função secante"
+
+#: C/genius.xml:4341(term)
+msgid "<anchor id=\"gel-function-sech\"/>sech"
+msgstr ""
+
+#: C/genius.xml:4343(synopsis)
+#, no-wrap
+msgid "sech (x)"
+msgstr ""
+
+#: C/genius.xml:4344(para)
+#, fuzzy
+msgid "The hyperbolic secant function."
+msgstr "A função secante hiperbólica"
+
+#: C/genius.xml:4353(term)
+msgid "<anchor id=\"gel-function-sin\"/>sin"
+msgstr ""
+
+#: C/genius.xml:4355(synopsis)
+#, no-wrap
+msgid "sin (x)"
+msgstr ""
+
+#: C/genius.xml:4356(para)
+#, fuzzy
+msgid "Calculates the sine function."
+msgstr "Calcula a função seno"
+
+#: C/genius.xml:4365(term)
+msgid "<anchor id=\"gel-function-sinh\"/>sinh"
+msgstr ""
+
+#: C/genius.xml:4367(synopsis)
+#, no-wrap
+msgid "sinh (x)"
+msgstr ""
+
+#: C/genius.xml:4368(para)
+#, fuzzy
+msgid "Calculates the hyperbolic sine function."
+msgstr "Calcula a função seno hiperbólico"
+
+#: C/genius.xml:4377(term)
+msgid "<anchor id=\"gel-function-tan\"/>tan"
+msgstr ""
+
+#: C/genius.xml:4379(synopsis)
+#, no-wrap
+msgid "tan (x)"
+msgstr ""
+
+#: C/genius.xml:4380(para)
+#, fuzzy
+msgid "Calculates the tan function."
+msgstr "Calcula a função tangente"
+
+#: C/genius.xml:4389(term)
+msgid "<anchor id=\"gel-function-tanh\"/>tanh"
+msgstr ""
+
+#: C/genius.xml:4391(synopsis)
+#, no-wrap
+msgid "tanh (x)"
+msgstr ""
+
+#: C/genius.xml:4392(para)
+#, fuzzy
+msgid "The hyperbolic tangent function."
+msgstr "A função tangente hiperbólica"
+
+#: C/genius.xml:4404(title)
+msgid "Number Theory"
+msgstr "Teoria dos números"
+
+#: C/genius.xml:4407(term)
+msgid "<anchor id=\"gel-function-AreRelativelyPrime\"/>AreRelativelyPrime"
+msgstr ""
+
+#: C/genius.xml:4409(synopsis)
+#, fuzzy, no-wrap
+msgid "AreRelativelyPrime (a,b)"
+msgstr "a e b são primos entre si?"
+
+#: C/genius.xml:4410(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:4414(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:4423(term)
+msgid "<anchor id=\"gel-function-BernoulliNumber\"/>BernoulliNumber"
+msgstr ""
+
+#: C/genius.xml:4425(synopsis)
+#, no-wrap
+msgid "BernoulliNumber (n)"
+msgstr ""
+
+#: C/genius.xml:4426(para)
+#, fuzzy
+msgid "Return the <varname>n</varname>th Bernoulli number."
+msgstr "Devolve o n-ésimo número de Bernoulli"
+
+#: C/genius.xml:4427(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:4436(term)
+msgid "<anchor id=\"gel-function-ChineseRemainder\"/>ChineseRemainder"
+msgstr ""
+
+#: C/genius.xml:4438(synopsis)
+#, no-wrap
+msgid "ChineseRemainder (a,m)"
+msgstr ""
+
+#: C/genius.xml:4439(para)
+msgid "Aliases: <function>CRT</function>"
+msgstr ""
+
+#: C/genius.xml:4440(para)
+#, fuzzy
+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 ""
+"Encontra o x que resolve o sistema dado pelo vetor a e pelo módulo dos "
+"elementos de m, usando o Teorema do Resto Chinês"
+
+#: C/genius.xml:4444(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:4454(term)
+msgid ""
+"<anchor id=\"gel-function-CombineFactorizations\"/>CombineFactorizations"
+msgstr ""
+
+#: C/genius.xml:4456(synopsis)
+#, fuzzy, no-wrap
+msgid "CombineFactorizations (a,b)"
+msgstr "Combinatória"
+
+#: C/genius.xml:4457(para)
+#, fuzzy
+msgid "Given two factorizations, give the factorization of the product."
+msgstr "Dadas duas fatorações, dá a fatoração do produto, veja Factorize"
+
+#: C/genius.xml:4459(para)
+msgid "See <link linkend=\"gel-function-Factorize\">Factorize</link>."
+msgstr ""
+
+#: C/genius.xml:4464(term)
+msgid "<anchor id=\"gel-function-ConvertFromBase\"/>ConvertFromBase"
+msgstr ""
+
+#: C/genius.xml:4466(synopsis)
+#, no-wrap
+msgid "ConvertFromBase (v,b)"
+msgstr ""
+
+#: C/genius.xml:4467(para)
+#, fuzzy
+msgid "Convert a vector of values indicating powers of b to a number."
+msgstr ""
+"Converte um vetor de valores indicando potências de b elevado a um número"
+
+#: C/genius.xml:4472(term)
+msgid "<anchor id=\"gel-function-ConvertToBase\"/>ConvertToBase"
+msgstr ""
+
+#: C/genius.xml:4474(synopsis)
+#, no-wrap
+msgid "ConvertToBase (n,b)"
+msgstr ""
+
+#: C/genius.xml:4475(para)
+#, fuzzy
+msgid ""
+"Convert a number to a vector of powers for elements in base <varname>b</"
+"varname>."
+msgstr "Converte um número em um vetor de potências para elementos na base b"
+
+#: C/genius.xml:4480(term)
+msgid "<anchor id=\"gel-function-DiscreteLog\"/>DiscreteLog"
+msgstr ""
+
+#: C/genius.xml:4482(synopsis)
+#, no-wrap
+msgid "DiscreteLog (n,b,q)"
+msgstr ""
+
+#: C/genius.xml:4483(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:4486(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:4496(term)
+msgid "<anchor id=\"gel-function-Divides\"/>Divides"
+msgstr ""
+
+#: C/genius.xml:4498(synopsis)
+#, no-wrap
+msgid "Divides (m,n)"
+msgstr ""
+
+#: C/genius.xml:4499(para)
+#, fuzzy
+msgid ""
+"Checks divisibility (if <varname>m</varname> divides <varname>n</varname>)."
+msgstr "Verifica a divisibilidade (se m divide n)"
+
+#: C/genius.xml:4504(term)
+msgid "<anchor id=\"gel-function-EulerPhi\"/>EulerPhi"
+msgstr ""
+
+#: C/genius.xml:4506(synopsis)
+#, no-wrap
+msgid "EulerPhi (n)"
+msgstr ""
+
+#: C/genius.xml:4507(para)
+#, fuzzy
+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 ""
+"Calcula phi(n), a função phi de Euler, que é o número de inteiros entre 1 e "
+"n que são primos em relação a n"
+
+#: C/genius.xml:4512(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:4522(term)
+msgid "<anchor id=\"gel-function-ExactDivision\"/>ExactDivision"
+msgstr ""
+
+#: C/genius.xml:4524(synopsis)
+#, no-wrap
+msgid "ExactDivision (n,d)"
+msgstr ""
+
+#: C/genius.xml:4525(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:4537(term)
+msgid "<anchor id=\"gel-function-Factorize\"/>Factorize"
+msgstr ""
+
+#: C/genius.xml:4539(synopsis)
+#, fuzzy, no-wrap
+msgid "Factorize (n)"
+msgstr "Fatorial"
+
+#: C/genius.xml:4540(para)
+msgid ""
+"Return factorization of a number as a matrix. The first row is the primes in "
+"the factorization (including 1) and the second row are the powers. So for "
+"example: <screen><prompt>genius&gt;</prompt> <userinput>Factorize(11*11*13)</"
+"userinput>\n"
+"=\n"
+"[1      11      13\n"
+" 1      2       1]</screen>"
+msgstr ""
+
+#: C/genius.xml:4549(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Factorization\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4557(term)
+msgid "<anchor id=\"gel-function-Factors\"/>Factors"
+msgstr ""
+
+#: C/genius.xml:4559(synopsis)
+#, fuzzy, no-wrap
+msgid "Factors (n)"
+msgstr "Fatorial"
+
+#: C/genius.xml:4566(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:4560(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:4576(term)
+msgid "<anchor id=\"gel-function-FermatFactorization\"/>FermatFactorization"
+msgstr ""
+
+#: C/genius.xml:4578(synopsis)
+#, no-wrap
+msgid "FermatFactorization (n,tries)"
+msgstr ""
+
+#: C/genius.xml:4579(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, <constant>null</constant> otherwise. <varname>tries</"
+"varname> specifies the number of tries before giving up."
+msgstr ""
+
+#: C/genius.xml:4586(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:4590(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Fermat_factorization";
+"\">Wikipedia</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4598(term)
+msgid ""
+"<anchor id=\"gel-function-FindPrimitiveElementMod\"/>FindPrimitiveElementMod"
+msgstr ""
+
+#: C/genius.xml:4600(synopsis)
+#, no-wrap
+msgid "FindPrimitiveElementMod (q)"
+msgstr ""
+
+#: C/genius.xml:4601(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:4607(term)
+msgid ""
+"<anchor id=\"gel-function-FindRandomPrimitiveElementMod\"/"
+">FindRandomPrimitiveElementMod"
+msgstr ""
+
+#: C/genius.xml:4609(synopsis)
+#, no-wrap
+msgid "FindRandomPrimitiveElementMod (q)"
+msgstr ""
+
+#: C/genius.xml:4610(para)
+#, fuzzy
+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 "Encontra um elemento primitivo aleatório em F_q (q deve ser um primo)"
+
+#: C/genius.xml:4616(term)
+msgid "<anchor id=\"gel-function-IndexCalculus\"/>IndexCalculus"
+msgstr ""
+
+#: C/genius.xml:4618(synopsis)
+#, no-wrap
+msgid "IndexCalculus (n,b,q,S)"
+msgstr ""
+
+#: C/genius.xml:4619(para)
+#, fuzzy
+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 <link linkend=\"gel-function-IndexCalculusPrecalculation"
+"\"><function>IndexCalculusPrecalculation</function></link>."
+msgstr ""
+"Calcula o log discreto de n na base b em F_q, (q é um primo) usando o fator "
+"base S. S deve ser uma coluna de primos possivelmente com a segunda coluna "
+"pré-calculada por IndexCalculusPrecalculation."
+
+#: C/genius.xml:4628(term)
+msgid ""
+"<anchor id=\"gel-function-IndexCalculusPrecalculation\"/"
+">IndexCalculusPrecalculation"
+msgstr ""
+
+#: C/genius.xml:4630(synopsis)
+#, no-wrap
+msgid "IndexCalculusPrecalculation (b,q,S)"
+msgstr ""
+
+#: C/genius.xml:4631(para)
+#, fuzzy
+msgid ""
+"Run the precalculation step of <link linkend=\"gel-function-IndexCalculus"
+"\"><function>IndexCalculus</function></link> 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 ""
+"Executa o passo de pré-cálculo de IndexCalculus para logaritmos base b em "
+"F_q (q é um primo) para o fator base S (onde S é uma vetor coluna de "
+"primos). Os logaritmos serão pré-calculados e retornados na segunda coluna."
+
+#: C/genius.xml:4641(term)
+msgid "<anchor id=\"gel-function-IsEven\"/>IsEven"
+msgstr ""
+
+#: C/genius.xml:4643(synopsis)
+#, no-wrap
+msgid "IsEven (n)"
+msgstr ""
+
+#: C/genius.xml:4644(para)
+#, fuzzy
+msgid "Tests if an integer is even."
+msgstr "Testa se um inteiro é par"
+
+#: C/genius.xml:4649(term)
+msgid ""
+"<anchor id=\"gel-function-IsMersennePrimeExponent\"/>IsMersennePrimeExponent"
+msgstr ""
+
+#: C/genius.xml:4651(synopsis)
+#, no-wrap
+msgid "IsMersennePrimeExponent (p)"
+msgstr ""
+
+#: C/genius.xml:4652(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:4663(para) C/genius.xml:4879(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:4675(term)
+msgid "<anchor id=\"gel-function-IsNthPower\"/>IsNthPower"
+msgstr ""
+
+#: C/genius.xml:4677(synopsis)
+#, no-wrap
+msgid "IsNthPower (m,n)"
+msgstr ""
+
+#: C/genius.xml:4678(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:4689(term)
+msgid "<anchor id=\"gel-function-IsOdd\"/>IsOdd"
+msgstr ""
+
+#: C/genius.xml:4691(synopsis)
+#, no-wrap
+msgid "IsOdd (n)"
+msgstr ""
+
+#: C/genius.xml:4692(para)
+#, fuzzy
+msgid "Tests if an integer is odd."
+msgstr "Testa se um inteiro é ímpar"
+
+#: C/genius.xml:4697(term)
+msgid "<anchor id=\"gel-function-IsPerfectPower\"/>IsPerfectPower"
+msgstr ""
+
+#: C/genius.xml:4699(synopsis)
+#, no-wrap
+msgid "IsPerfectPower (n)"
+msgstr ""
+
+#: C/genius.xml:4700(para)
+msgid "Check an integer is any perfect power, a<superscript>b</superscript>."
+msgstr ""
+
+#: C/genius.xml:4705(term)
+msgid "<anchor id=\"gel-function-IsPerfectSquare\"/>IsPerfectSquare"
+msgstr ""
+
+#: C/genius.xml:4707(synopsis)
+#, no-wrap
+msgid "IsPerfectSquare (n)"
+msgstr ""
+
+#: C/genius.xml:4708(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:4717(term)
+msgid "<anchor id=\"gel-function-IsPrime\"/>IsPrime"
+msgstr ""
+
+#: C/genius.xml:4719(synopsis)
+#, no-wrap
+msgid "IsPrime (n)"
+msgstr ""
+
+#: C/genius.xml:4720(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:4731(para)
+msgid ""
+"If <constant>false</constant> 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:4739(para) C/genius.xml:4977(para) C/genius.xml:5017(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:4748(term)
+msgid "<anchor id=\"gel-function-IsPrimitiveMod\"/>IsPrimitiveMod"
+msgstr ""
+
+#: C/genius.xml:4750(synopsis)
+#, no-wrap
+msgid "IsPrimitiveMod (g,q)"
+msgstr ""
+
+#: C/genius.xml:4751(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:4757(term)
+msgid ""
+"<anchor id=\"gel-function-IsPrimitiveModWithPrimeFactors\"/"
+">IsPrimitiveModWithPrimeFactors"
+msgstr ""
+
+#: C/genius.xml:4759(synopsis)
+#, no-wrap
+msgid "IsPrimitiveModWithPrimeFactors (g,q,f)"
+msgstr ""
+
+#: C/genius.xml:4760(para)
+#, fuzzy
+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 ""
+"Verifica se g é primitivo em F_q, onde q é um primo e f é um vetor de "
+"fatores primos de q-1. Se q não for primo os resultados são estranhos."
+
+#: C/genius.xml:4768(term)
+msgid "<anchor id=\"gel-function-IsPseudoprime\"/>IsPseudoprime"
+msgstr ""
+
+#: C/genius.xml:4770(synopsis)
+#, no-wrap
+msgid "IsPseudoprime (n,b)"
+msgstr ""
+
+#: C/genius.xml:4771(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 calls the "
+"<link linkend=\"gel-function-PseudoprimeTest\"><function>PseudoprimeTest</"
+"function></link>"
+msgstr ""
+
+#: C/genius.xml:4777(term)
+msgid "<anchor id=\"gel-function-IsStrongPseudoprime\"/>IsStrongPseudoprime"
+msgstr ""
+
+#: C/genius.xml:4779(synopsis)
+#, no-wrap
+msgid "IsStrongPseudoprime (n,b)"
+msgstr ""
+
+#: C/genius.xml:4780(para)
+#, fuzzy
+msgid ""
+"Test if <varname>n</varname> is a strong pseudoprime to base <varname>b</"
+"varname> but not a prime."
+msgstr "Testa se n é um pseudoprimo forte para a base b mas não um primo"
+
+#: C/genius.xml:4785(term)
+msgid "<anchor id=\"gel-function-Jacobi\"/>Jacobi"
+msgstr ""
+
+#: C/genius.xml:4787(synopsis)
+#, no-wrap
+msgid "Jacobi (a,b)"
+msgstr ""
+
+#: C/genius.xml:4788(para)
+msgid "Aliases: <function>JacobiSymbol</function>"
+msgstr ""
+
+#: C/genius.xml:4789(para)
+#, fuzzy
+msgid "Calculate the Jacobi symbol (a/b) (b should be odd)."
+msgstr "Calcula o símbolo de Jacobi (a/b) (b deve ser ímpar)"
+
+#: C/genius.xml:4794(term)
+msgid "<anchor id=\"gel-function-JacobiKronecker\"/>JacobiKronecker"
+msgstr ""
+
+#: C/genius.xml:4796(synopsis)
+#, no-wrap
+msgid "JacobiKronecker (a,b)"
+msgstr ""
+
+#: C/genius.xml:4797(para)
+msgid "Aliases: <function>JacobiKroneckerSymbol</function>"
+msgstr ""
+
+#: C/genius.xml:4798(para)
+#, fuzzy
+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 ""
+"Calcula o símbolo de Jacobi (a/b) com a extensão de Kronecker (a/2)=(2/a) "
+"quando a for ímpar, ou (a/2)=0 quando a for par"
+
+#: C/genius.xml:4803(term)
+msgid "<anchor id=\"gel-function-LeastAbsoluteResidue\"/>LeastAbsoluteResidue"
+msgstr ""
+
+#: C/genius.xml:4805(synopsis)
+#, no-wrap
+msgid "LeastAbsoluteResidue (a,n)"
+msgstr ""
+
+#: C/genius.xml:4806(para)
+#, fuzzy
+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 ""
+"Devolve o resíduo de a mod n com menor valor absoluto (no intervalo -n/2 a "
+"n/2)"
+
+#: C/genius.xml:4811(term)
+msgid "<anchor id=\"gel-function-Legendre\"/>Legendre"
+msgstr ""
+
+#: C/genius.xml:4813(synopsis)
+#, no-wrap
+msgid "Legendre (a,p)"
+msgstr ""
+
+#: C/genius.xml:4814(para)
+msgid "Aliases: <function>LegendreSymbol</function>"
+msgstr ""
+
+#: C/genius.xml:4815(para)
+#, fuzzy
+msgid "Calculate the Legendre symbol (a/p)."
+msgstr "Calcula o símbolo de Legendre (a/p)"
+
+#: C/genius.xml:4816(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:4825(term)
+msgid "<anchor id=\"gel-function-LucasLehmer\"/>LucasLehmer"
+msgstr ""
+
+#: C/genius.xml:4827(synopsis)
+#, no-wrap
+msgid "LucasLehmer (p)"
+msgstr ""
+
+#: C/genius.xml:4828(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:4834(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:4844(term)
+msgid "<anchor id=\"gel-function-LucasNumber\"/>LucasNumber"
+msgstr ""
+
+#: C/genius.xml:4846(synopsis)
+#, no-wrap
+msgid "LucasNumber (n)"
+msgstr ""
+
+#: C/genius.xml:4847(para)
+#, fuzzy
+msgid "Returns the <varname>n</varname>th Lucas number."
+msgstr "Devolve o n-ésimo número de Lucas"
+
+#: C/genius.xml:4848(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:4858(term)
+msgid ""
+"<anchor id=\"gel-function-MaximalPrimePowerFactors\"/"
+">MaximalPrimePowerFactors"
+msgstr ""
+
+#: C/genius.xml:4860(synopsis)
+#, no-wrap
+msgid "MaximalPrimePowerFactors (n)"
+msgstr ""
+
+#: C/genius.xml:4861(para)
+#, fuzzy
+msgid "Return all maximal prime power factors of a number."
+msgstr ""
+"Devolve todos os máximos fatores que são potência de um primo de um número"
+
+#: C/genius.xml:4866(term)
+msgid ""
+"<anchor id=\"gel-function-MersennePrimeExponents\"/>MersennePrimeExponents"
+msgstr ""
+
+#: C/genius.xml:4868(synopsis)
+#, no-wrap
+msgid "MersennePrimeExponents"
+msgstr ""
+
+#: C/genius.xml:4869(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:4891(term)
+msgid "<anchor id=\"gel-function-MillerRabinTest\"/>MillerRabinTest"
+msgstr ""
+
+#: C/genius.xml:4893(synopsis)
+#, no-wrap
+msgid "MillerRabinTest (n,reps)"
+msgstr ""
+
+#: C/genius.xml:4894(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:4903(para) C/genius.xml:4921(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:4913(term)
+msgid "<anchor id=\"gel-function-MillerRabinTestSure\"/>MillerRabinTestSure"
+msgstr ""
+
+#: C/genius.xml:4915(synopsis)
+#, no-wrap
+msgid "MillerRabinTestSure (n)"
+msgstr ""
+
+#: C/genius.xml:4916(para)
+#, fuzzy
+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 ""
+"Usa o teste de primalidade de Miller-Rabin em n com bases suficientes que "
+"assumem a Hipótese Generalizada de Reimann de que o resultado é "
+"determinístico"
+
+#: C/genius.xml:4931(term)
+msgid "<anchor id=\"gel-function-ModInvert\"/>ModInvert"
+msgstr ""
+
+#: C/genius.xml:4933(synopsis)
+#, no-wrap
+msgid "ModInvert (n,m)"
+msgstr ""
+
+#: C/genius.xml:4934(para)
+#, fuzzy
+msgid "Returns inverse of n mod m."
+msgstr "Devolve o inverso de n mod m"
+
+#: C/genius.xml:4935(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/ModularInverse.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4943(term)
+msgid "<anchor id=\"gel-function-MoebiusMu\"/>MoebiusMu"
+msgstr ""
+
+#: C/genius.xml:4945(synopsis)
+#, no-wrap
+msgid "MoebiusMu (n)"
+msgstr ""
+
+#: C/genius.xml:4946(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:4952(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:4961(term)
+msgid "<anchor id=\"gel-function-NextPrime\"/>NextPrime"
+msgstr ""
+
+#: C/genius.xml:4963(synopsis)
+#, no-wrap
+msgid "NextPrime (n)"
+msgstr ""
+
+#: C/genius.xml:4964(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:4969(para)
+msgid ""
+"This function uses the GMPs <function>mpz_nextprime</function>, which in "
+"turn uses the probabilistic Miller-Rabin test (See also <link linkend=\"gel-"
+"function-MillerRabinTest\"><function>MillerRabinTest</function></link>). The "
+"probability of false positive is not tunable, but is low enough for all "
+"practical purposes."
+msgstr ""
+
+#: C/genius.xml:4986(term)
+msgid "<anchor id=\"gel-function-PadicValuation\"/>PadicValuation"
+msgstr ""
+
+#: C/genius.xml:4988(synopsis)
+#, no-wrap
+msgid "PadicValuation (n,p)"
+msgstr ""
+
+#: C/genius.xml:4989(para)
+#, fuzzy
+msgid ""
+"Returns the p-adic valuation (number of trailing zeros in base <varname>p</"
+"varname>)."
+msgstr ""
+"Devolve a avaliação de valor p-adic (número de zeros à esquerda [ou "
+"excedentes] na base p)."
+
+#: C/genius.xml:4990(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/PAdicValuation.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:4998(term)
+msgid "<anchor id=\"gel-function-PowerMod\"/>PowerMod"
+msgstr ""
+
+#: C/genius.xml:5000(synopsis)
+#, no-wrap
+msgid "PowerMod (a,b,m)"
+msgstr ""
+
+#: C/genius.xml:5001(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:5012(term)
+msgid "<anchor id=\"gel-function-Prime\"/>Prime"
+msgstr ""
+
+#: C/genius.xml:5014(synopsis)
+#, no-wrap
+msgid "Prime (n)"
+msgstr ""
+
+#: C/genius.xml:5015(para)
+msgid "Aliases: <function>prime</function>"
+msgstr ""
+
+#: C/genius.xml:5016(para)
+#, fuzzy
+msgid "Return the <varname>n</varname>th prime (up to a limit)."
+msgstr "Devolve o n-ésimo primo (até um limite)"
+
+#: C/genius.xml:5026(term)
+msgid "<anchor id=\"gel-function-PrimeFactors\"/>PrimeFactors"
+msgstr ""
+
+#: C/genius.xml:5028(synopsis)
+#, no-wrap
+msgid "PrimeFactors (n)"
+msgstr ""
+
+#: C/genius.xml:5029(para)
+#, fuzzy
+msgid "Return all prime factors of a number as a vector."
+msgstr "Devolve todos os fatores primos de um número"
+
+#: C/genius.xml:5030(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/PrimeFactor.html\";>Mathworld</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:5038(term)
+msgid "<anchor id=\"gel-function-PseudoprimeTest\"/>PseudoprimeTest"
+msgstr ""
+
+#: C/genius.xml:5040(synopsis)
+#, no-wrap
+msgid "PseudoprimeTest (n,b)"
+msgstr ""
+
+#: C/genius.xml:5041(para)
+#, fuzzy
+msgid ""
+"Pseudoprime test, returns <constant>true</constant> if and only if "
+"<userinput>b^(n-1) == 1  mod n</userinput>"
+msgstr ""
+"Teste pseudoprimo, verdadeiro (true) se, e somente se, b^(n-1) == 1 (mod n)"
+
+#: C/genius.xml:5043(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:5052(term)
+msgid "<anchor id=\"gel-function-RemoveFactor\"/>RemoveFactor"
+msgstr ""
+
+#: C/genius.xml:5054(synopsis)
+#, no-wrap
+msgid "RemoveFactor (n,m)"
+msgstr ""
+
+#: C/genius.xml:5055(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:5056(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:5065(term)
+msgid ""
+"<anchor id=\"gel-function-SilverPohligHellmanWithFactorization\"/"
+">SilverPohligHellmanWithFactorization"
+msgstr ""
+
+#: C/genius.xml:5067(synopsis)
+#, no-wrap
+msgid "SilverPohligHellmanWithFactorization (n,b,q,f)"
+msgstr ""
+
+#: C/genius.xml:5068(para)
+#, fuzzy
+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 ""
+"Encontra o log discreto de n na base b em F_q, onde q é um primo usando o "
+"algorítmo de Silver-Pohlig-Hellman, adotando-se f como fatoração de q-1"
+
+#: C/genius.xml:5073(term)
+msgid "<anchor id=\"gel-function-SqrtModPrime\"/>SqrtModPrime"
+msgstr ""
+
+#: C/genius.xml:5075(synopsis)
+#, no-wrap
+msgid "SqrtModPrime (n,p)"
+msgstr ""
+
+#: C/genius.xml:5076(para)
+#, fuzzy
+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 ""
+"Encontra a raiz quadrada de n mod p (um primo). Null é retornado se não for "
+"um resíduo quadrático."
+
+#: C/genius.xml:5077(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:5086(term)
+msgid ""
+"<anchor id=\"gel-function-StrongPseudoprimeTest\"/>StrongPseudoprimeTest"
+msgstr ""
+
+#: C/genius.xml:5088(synopsis)
+#, no-wrap
+msgid "StrongPseudoprimeTest (n,b)"
+msgstr ""
+
+#: C/genius.xml:5089(para)
+#, fuzzy
+msgid ""
+"Run the strong pseudoprime test base <varname>b</varname> on <varname>n</"
+"varname>."
+msgstr "Executa o teste pseudoprimo forte base b em n"
+
+#: C/genius.xml:5090(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:5099(term)
+msgid "<anchor id=\"gel-function-gcd\"/>gcd"
+msgstr ""
+
+#: C/genius.xml:5101(synopsis)
+#, no-wrap
+msgid "gcd (a,args...)"
+msgstr ""
+
+#: C/genius.xml:5102(para)
+msgid "Aliases: <function>GCD</function>"
+msgstr ""
+
+#: C/genius.xml:5103(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:5109(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:5118(term)
+msgid "<anchor id=\"gel-function-lcm\"/>lcm"
+msgstr ""
+
+#: C/genius.xml:5120(synopsis)
+#, no-wrap
+msgid "lcm (a,args...)"
+msgstr ""
+
+#: C/genius.xml:5121(para)
+msgid "Aliases: <function>LCM</function>"
+msgstr ""
+
+#: C/genius.xml:5122(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:5128(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:5140(title)
+msgid "Matrix Manipulation"
+msgstr "Manipulação de matrizes"
+
+#: C/genius.xml:5143(term)
+msgid "<anchor id=\"gel-function-ApplyOverMatrix\"/>ApplyOverMatrix"
+msgstr ""
+
+#: C/genius.xml:5145(synopsis)
+#, no-wrap
+msgid "ApplyOverMatrix (a,func)"
+msgstr ""
+
+#: C/genius.xml:5146(para)
+#, fuzzy
+msgid ""
+"Apply a function over all entries of a matrix and return a matrix of the "
+"results."
+msgstr ""
+"Aplica uma função sobre todas as entradas de uma matriz e retorna uma matriz "
+"dos resultados"
+
+#: C/genius.xml:5151(term)
+msgid "<anchor id=\"gel-function-ApplyOverMatrix2\"/>ApplyOverMatrix2"
+msgstr ""
+
+#: C/genius.xml:5153(synopsis)
+#, no-wrap
+msgid "ApplyOverMatrix2 (a,b,func)"
+msgstr ""
+
+#: C/genius.xml:5154(para)
+#, fuzzy
+msgid ""
+"Apply a function over all entries of 2 matrices (or 1 value and 1 matrix) "
+"and return a matrix of the results."
+msgstr ""
+"Aplica uma função sobre todas as entradas de 2 matrizes (ou 1 valor e 1 "
+"matriz) e retorna uma matriz dos resultados"
+
+#: C/genius.xml:5159(term)
+msgid "<anchor id=\"gel-function-ColumnsOf\"/>ColumnsOf"
+msgstr ""
+
+#: C/genius.xml:5161(synopsis)
+#, no-wrap
+msgid "ColumnsOf (M)"
+msgstr ""
+
+#: C/genius.xml:5162(para)
+#, fuzzy
+msgid "Gets the columns of a matrix as a horizontal vector."
+msgstr "Toma as colunas de uma matriz como um vetor linha"
+
+#: C/genius.xml:5167(term)
+msgid "<anchor id=\"gel-function-ComplementSubmatrix\"/>ComplementSubmatrix"
+msgstr ""
+
+#: C/genius.xml:5169(synopsis)
+#, no-wrap
+msgid "ComplementSubmatrix (m,r,c)"
+msgstr ""
+
+#: C/genius.xml:5170(para)
+#, fuzzy
+msgid "Remove column(s) and row(s) from a matrix."
+msgstr "Remove coluna(s) e linha(s) de uma matriz"
+
+#: C/genius.xml:5175(term)
+msgid "<anchor id=\"gel-function-CompoundMatrix\"/>CompoundMatrix"
+msgstr ""
+
+#: C/genius.xml:5177(synopsis)
+#, no-wrap
+msgid "CompoundMatrix (k,A)"
+msgstr ""
+
+#: C/genius.xml:5178(para)
+#, fuzzy
+msgid "Calculate the kth compound matrix of A."
+msgstr "Calcula a k-ésima matriz composta de A"
+
+#: C/genius.xml:5183(term)
+msgid "<anchor id=\"gel-function-CountZeroColumns\"/>CountZeroColumns"
+msgstr ""
+
+#: C/genius.xml:5185(synopsis)
+#, no-wrap
+msgid "CountZeroColumns (M)"
+msgstr ""
+
+#: C/genius.xml:5186(para)
+msgid ""
+"Count the number of zero columns in a matrix. For example once your 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:5196(term)
+msgid "<anchor id=\"gel-function-DeleteColumn\"/>DeleteColumn"
+msgstr ""
+
+#: C/genius.xml:5198(synopsis)
+#, no-wrap
+msgid "DeleteColumn (M,col)"
+msgstr ""
+
+#: C/genius.xml:5199(para)
+#, fuzzy
+msgid "Delete a column of a matrix."
+msgstr "Exclui uma coluna de uma matriz"
+
+#: C/genius.xml:5204(term)
+msgid "<anchor id=\"gel-function-DeleteRow\"/>DeleteRow"
+msgstr ""
+
+#: C/genius.xml:5206(synopsis)
+#, no-wrap
+msgid "DeleteRow (M,row)"
+msgstr ""
+
+#: C/genius.xml:5207(para)
+#, fuzzy
+msgid "Delete a row of a matrix."
+msgstr "Exclui uma linha de uma matriz"
+
+#: C/genius.xml:5212(term)
+msgid "<anchor id=\"gel-function-DiagonalOf\"/>DiagonalOf"
+msgstr ""
+
+#: C/genius.xml:5214(synopsis)
+#, no-wrap
+msgid "DiagonalOf (M)"
+msgstr ""
+
+#: C/genius.xml:5215(para)
+#, fuzzy
+msgid "Gets the diagonal entries of a matrix as a column vector."
+msgstr "Toma as entradas diagonais de uma matriz como um vetor coluna"
+
+#: C/genius.xml:5216(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Diagonal_of_a_matrix#Matrices";
+"\">Wikipedia</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:5224(term)
+msgid "<anchor id=\"gel-function-DotProduct\"/>DotProduct"
+msgstr ""
+
+#: C/genius.xml:5226(synopsis)
+#, no-wrap
+msgid "DotProduct (u,v)"
+msgstr ""
+
+#: C/genius.xml:5227(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:5229(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/DotProduct.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:5237(term)
+msgid "<anchor id=\"gel-function-ExpandMatrix\"/>ExpandMatrix"
+msgstr ""
+
+#: C/genius.xml:5239(synopsis)
+#, no-wrap
+msgid "ExpandMatrix (M)"
+msgstr ""
+
+#: C/genius.xml:5240(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:5250(term)
+msgid "<anchor id=\"gel-function-HermitianProduct\"/>HermitianProduct"
+msgstr ""
+
+#: C/genius.xml:5252(synopsis)
+#, no-wrap
+msgid "HermitianProduct (u,v)"
+msgstr ""
+
+#: C/genius.xml:5253(para)
+msgid "Aliases: <function>InnerProduct</function>"
+msgstr ""
+
+#: C/genius.xml:5254(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:5255(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/HermitianInnerProduct.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:5263(term)
+msgid "<anchor id=\"gel-function-I\"/>I"
+msgstr ""
+
+#: C/genius.xml:5265(synopsis)
+#, no-wrap
+msgid "I (n)"
+msgstr ""
+
+#: C/genius.xml:5266(para)
+msgid "Aliases: <function>eye</function>"
+msgstr ""
+
+#: C/genius.xml:5267(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 "
+"<constant>null</constant>."
+msgstr ""
+
+#: C/genius.xml:5268(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/IdentityMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:5276(term)
+msgid "<anchor id=\"gel-function-IndexComplement\"/>IndexComplement"
+msgstr ""
+
+#: C/genius.xml:5278(synopsis)
+#, no-wrap
+msgid "IndexComplement (vec,msize)"
+msgstr ""
+
+#: C/genius.xml:5279(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 <constant>null</constant>."
+msgstr ""
+
+#: C/genius.xml:5286(term)
+msgid "<anchor id=\"gel-function-IsDiagonal\"/>IsDiagonal"
+msgstr ""
+
+#: C/genius.xml:5288(synopsis)
+#, no-wrap
+msgid "IsDiagonal (M)"
+msgstr ""
+
+#: C/genius.xml:5289(para)
+msgid "Is a matrix diagonal."
+msgstr "É uma matriz diagonal."
+
+#: C/genius.xml:5290(para) C/genius.xml:5440(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:5299(term)
+msgid "<anchor id=\"gel-function-IsIdentity\"/>IsIdentity"
+msgstr ""
+
+#: C/genius.xml:5301(synopsis)
+#, no-wrap
+msgid "IsIdentity (x)"
+msgstr ""
+
+#: C/genius.xml:5302(para)
+msgid ""
+"Check if a matrix is the identity matrix. Automatically returns "
+"<constant>false</constant> 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 <constant>null</constant> (we could think of that as "
+"a 0 by 0 matrix), no error is generated and <constant>false</constant> is "
+"returned."
+msgstr ""
+
+#: C/genius.xml:5311(term)
+msgid "<anchor id=\"gel-function-IsLowerTriangular\"/>IsLowerTriangular"
+msgstr ""
+
+#: C/genius.xml:5313(synopsis)
+#, fuzzy, no-wrap
+msgid "IsLowerTriangular (M)"
+msgstr "É uma matriz triangular inferior"
+
+#: C/genius.xml:5314(para)
+msgid ""
+"Is a matrix lower triangular. That is, are all the entries above the "
+"diagonal zero."
+msgstr ""
+
+#: C/genius.xml:5319(term)
+msgid "<anchor id=\"gel-function-IsMatrixInteger\"/>IsMatrixInteger"
+msgstr ""
+
+#: C/genius.xml:5321(synopsis)
+#, no-wrap
+msgid "IsMatrixInteger (M)"
+msgstr ""
+
+#: C/genius.xml:5322(para)
+#, fuzzy
+msgid "Check if a matrix is a matrix of an integers (non-complex)."
+msgstr ""
+"Verifica se uma matriz é uma matriz de números inteiros (não complexos)"
+
+#: C/genius.xml:5327(term)
+msgid "<anchor id=\"gel-function-IsMatrixNonnegative\"/>IsMatrixNonnegative"
+msgstr ""
+
+#: C/genius.xml:5329(synopsis)
+#, no-wrap
+msgid "IsMatrixNonnegative (M)"
+msgstr ""
+
+#: C/genius.xml:5330(para)
+#, fuzzy
+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 ""
+"Verifica se uma matriz é não negativa, isto é, se cada elemento é não "
+"negativo"
+
+#: C/genius.xml:5332(para) C/genius.xml:5346(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Positive_matrix\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:5340(term)
+msgid "<anchor id=\"gel-function-IsMatrixPositive\"/>IsMatrixPositive"
+msgstr ""
+
+#: C/genius.xml:5342(synopsis)
+#, fuzzy, no-wrap
+msgid "IsMatrixPositive (M)"
+msgstr "É uma matriz positiva definida"
+
+#: C/genius.xml:5343(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:5354(term)
+msgid "<anchor id=\"gel-function-IsMatrixRational\"/>IsMatrixRational"
+msgstr ""
+
+#: C/genius.xml:5356(synopsis)
+#, fuzzy, no-wrap
+msgid "IsMatrixRational (M)"
+msgstr "É uma matriz diagonal"
+
+#: C/genius.xml:5357(para)
+#, fuzzy
+msgid "Check if a matrix is a matrix of rational (non-complex) numbers."
+msgstr ""
+"Verifica se uma matriz é uma matriz de números racionais (não complexos)"
+
+#: C/genius.xml:5363(term)
+msgid "<anchor id=\"gel-function-IsMatrixReal\"/>IsMatrixReal"
+msgstr ""
+
+#: C/genius.xml:5365(synopsis)
+#, no-wrap
+msgid "IsMatrixReal (M)"
+msgstr ""
+
+#: C/genius.xml:5366(para)
+#, fuzzy
+msgid "Check if a matrix is a matrix of real (non-complex) numbers."
+msgstr ""
+"Verifica se uma matriz é uma matriz de números racionais (não complexos)"
+
+#: C/genius.xml:5371(term)
+msgid "<anchor id=\"gel-function-IsMatrixSquare\"/>IsMatrixSquare"
+msgstr ""
+
+#: C/genius.xml:5373(synopsis)
+#, fuzzy, no-wrap
+msgid "IsMatrixSquare (M)"
+msgstr "É uma matriz quadrada"
+
+#: C/genius.xml:5374(para)
+#, fuzzy
+msgid "Check if a matrix is square, that is its width is equal to its height."
+msgstr "Verifica se uma matriz é positiva, isto é, se cada elemento é positivo"
+
+#: C/genius.xml:5382(term)
+msgid "<anchor id=\"gel-function-IsUpperTriangular\"/>IsUpperTriangular"
+msgstr ""
+
+#: C/genius.xml:5384(synopsis)
+#, fuzzy, no-wrap
+msgid "IsUpperTriangular (M)"
+msgstr "É uma matriz triangular superior"
+
+#: C/genius.xml:5385(para)
+msgid ""
+"Is a matrix upper triangular? That is, a matrix is upper triangular if all "
+"the entries below the diagonal are zero."
+msgstr ""
+
+#: C/genius.xml:5390(term)
+msgid "<anchor id=\"gel-function-IsValueOnly\"/>IsValueOnly"
+msgstr ""
+
+#: C/genius.xml:5392(synopsis)
+#, no-wrap
+msgid "IsValueOnly (M)"
+msgstr ""
+
+#: C/genius.xml:5393(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:5399(term)
+msgid "<anchor id=\"gel-function-IsVector\"/>IsVector"
+msgstr ""
+
+#: C/genius.xml:5401(synopsis)
+#, no-wrap
+msgid "IsVector (v)"
+msgstr ""
+
+#: C/genius.xml:5402(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:5411(term)
+msgid "<anchor id=\"gel-function-IsZero\"/>IsZero"
+msgstr ""
+
+#: C/genius.xml:5413(synopsis)
+#, no-wrap
+msgid "IsZero (x)"
+msgstr ""
+
+#: C/genius.xml:5414(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 <constant>null</constant> (we could think of that as a 0 by 0 "
+"matrix), no error is generated and <constant>true</constant> is returned as "
+"the condition is vacuous."
+msgstr ""
+
+#: C/genius.xml:5424(term)
+msgid "<anchor id=\"gel-function-LowerTriangular\"/>LowerTriangular"
+msgstr ""
+
+#: C/genius.xml:5426(synopsis)
+#, no-wrap
+msgid "LowerTriangular (M)"
+msgstr ""
+
+#: C/genius.xml:5427(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:5432(term)
+msgid "<anchor id=\"gel-function-MakeDiagonal\"/>MakeDiagonal"
+msgstr ""
+
+#: C/genius.xml:5434(synopsis)
+#, no-wrap
+msgid "MakeDiagonal (v,arg...)"
+msgstr ""
+
+#: C/genius.xml:5435(para)
+msgid "Aliases: <function>diag</function>"
+msgstr ""
+
+#: C/genius.xml:5436(para)
+msgid ""
+"Make diagonal matrix from a vector. Alternatively you can pass in the values "
+"to put on the diagonal as arguments. So <userinput>MakeDiagonal([1,2,3])</"
+"userinput> is the same as <userinput>MakeDiagonal(1,2,3)</userinput>."
+msgstr ""
+
+#: C/genius.xml:5449(term)
+msgid "<anchor id=\"gel-function-MakeVector\"/>MakeVector"
+msgstr ""
+
+#: C/genius.xml:5451(synopsis)
+#, no-wrap
+msgid "MakeVector (A)"
+msgstr ""
+
+#: C/genius.xml:5452(para)
+#, fuzzy
+msgid ""
+"Make column vector out of matrix by putting columns above each other. "
+"Returns <constant>null</constant> when given <constant>null</constant>."
+msgstr "Criar vetor coluna da matriz colocando suas colunas uma sobre a outra"
+
+#: C/genius.xml:5458(term)
+msgid "<anchor id=\"gel-function-MatrixProduct\"/>MatrixProduct"
+msgstr ""
+
+#: C/genius.xml:5460(synopsis)
+#, no-wrap
+msgid "MatrixProduct (A)"
+msgstr ""
+
+#: C/genius.xml:5461(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:5470(term)
+msgid "<anchor id=\"gel-function-MatrixSum\"/>MatrixSum"
+msgstr ""
+
+#: C/genius.xml:5472(synopsis)
+#, no-wrap
+msgid "MatrixSum (A)"
+msgstr ""
+
+#: C/genius.xml:5473(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:5482(term)
+msgid "<anchor id=\"gel-function-MatrixSumSquares\"/>MatrixSumSquares"
+msgstr ""
+
+#: C/genius.xml:5484(synopsis)
+#, no-wrap
+msgid "MatrixSumSquares (A)"
+msgstr ""
+
+#: C/genius.xml:5485(para)
+#, fuzzy
+msgid "Calculate the sum of squares of all elements in a matrix or vector."
+msgstr "Calcula a soma dos quadrados de todos os elementos de uma matriz"
+
+#: C/genius.xml:5491(term)
+msgid "<anchor id=\"gel-function-OuterProduct\"/>OuterProduct"
+msgstr ""
+
+#: C/genius.xml:5493(synopsis)
+#, no-wrap
+msgid "OuterProduct (u,v)"
+msgstr ""
+
+#: C/genius.xml:5494(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:5501(term)
+msgid "<anchor id=\"gel-function-ReverseVector\"/>ReverseVector"
+msgstr ""
+
+#: C/genius.xml:5503(synopsis)
+#, no-wrap
+msgid "ReverseVector (v)"
+msgstr ""
+
+#: C/genius.xml:5504(para)
+msgid ""
+"Reverse elements in a vector. Return <constant>null</constant> if given "
+"<constant>null</constant>"
+msgstr ""
+
+#: C/genius.xml:5509(term)
+msgid "<anchor id=\"gel-function-RowSum\"/>RowSum"
+msgstr ""
+
+#: C/genius.xml:5511(synopsis)
+#, no-wrap
+msgid "RowSum (m)"
+msgstr ""
+
+#: C/genius.xml:5512(para)
+#, fuzzy
+msgid ""
+"Calculate sum of each row in a matrix and return a vertical vector with the "
+"result."
+msgstr ""
+"Calcula os desvios padrão de linhas de uma matriz e retorna um vetor coluna"
+
+#: C/genius.xml:5518(term)
+msgid "<anchor id=\"gel-function-RowSumSquares\"/>RowSumSquares"
+msgstr ""
+
+#: C/genius.xml:5520(synopsis)
+#, no-wrap
+msgid "RowSumSquares (m)"
+msgstr ""
+
+#: C/genius.xml:5521(para)
+#, fuzzy
+msgid ""
+"Calculate sum of squares of each row in a matrix and return a vertical "
+"vector with the results."
+msgstr ""
+"Calcula os desvios padrão de linhas de uma matriz e retorna um vetor coluna"
+
+#: C/genius.xml:5526(term)
+msgid "<anchor id=\"gel-function-RowsOf\"/>RowsOf"
+msgstr ""
+
+#: C/genius.xml:5528(synopsis)
+#, no-wrap
+msgid "RowsOf (M)"
+msgstr ""
+
+#: C/genius.xml:5529(para)
+msgid ""
+"Gets the rows of a matrix as a vertical vector. Each element of the vector "
+"is a horizontal vector that 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:5538(term)
+msgid "<anchor id=\"gel-function-SetMatrixSize\"/>SetMatrixSize"
+msgstr ""
+
+#: C/genius.xml:5540(synopsis)
+#, no-wrap
+msgid "SetMatrixSize (M,rows,columns)"
+msgstr ""
+
+#: C/genius.xml:5541(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 <constant>null</constant> is "
+"returned."
+msgstr ""
+
+#: C/genius.xml:5551(term)
+msgid "<anchor id=\"gel-function-ShuffleVector\"/>ShuffleVector"
+msgstr ""
+
+#: C/genius.xml:5553(synopsis)
+#, no-wrap
+msgid "ShuffleVector (v)"
+msgstr ""
+
+#: C/genius.xml:5554(para)
+msgid ""
+"Shuffle elements in a vector. Return <constant>null</constant> if given "
+"<constant>null</constant>"
+msgstr ""
+
+#: C/genius.xml:5559(term)
+msgid "<anchor id=\"gel-function-SortVector\"/>SortVector"
+msgstr ""
+
+#: C/genius.xml:5561(synopsis)
+#, no-wrap
+msgid "SortVector (v)"
+msgstr ""
+
+#: C/genius.xml:5562(para)
+#, fuzzy
+msgid "Sort vector elements in an increasing order."
+msgstr "Ordena os elementos do vetor"
+
+#: C/genius.xml:5567(term)
+msgid "<anchor id=\"gel-function-StripZeroColumns\"/>StripZeroColumns"
+msgstr ""
+
+#: C/genius.xml:5569(synopsis)
+#, no-wrap
+msgid "StripZeroColumns (M)"
+msgstr ""
+
+#: C/genius.xml:5570(para)
+#, fuzzy
+msgid "Removes any all-zero columns of <varname>M</varname>."
+msgstr "Remove qualquer coluna que tenha apenas zeros de M"
+
+#: C/genius.xml:5575(term)
+msgid "<anchor id=\"gel-function-StripZeroRows\"/>StripZeroRows"
+msgstr ""
+
+#: C/genius.xml:5577(synopsis)
+#, no-wrap
+msgid "StripZeroRows (M)"
+msgstr ""
+
+#: C/genius.xml:5578(para)
+#, fuzzy
+msgid "Removes any all-zero rows of <varname>M</varname>."
+msgstr "Remove qualquer linha que tenha apenas zeros de M"
+
+#: C/genius.xml:5583(term)
+msgid "<anchor id=\"gel-function-Submatrix\"/>Submatrix"
+msgstr ""
+
+#: C/genius.xml:5585(synopsis)
+#, no-wrap
+msgid "Submatrix (m,r,c)"
+msgstr ""
+
+#: C/genius.xml:5586(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:5593(term)
+msgid "<anchor id=\"gel-function-SwapRows\"/>SwapRows"
+msgstr ""
+
+#: C/genius.xml:5595(synopsis)
+#, no-wrap
+msgid "SwapRows (m,row1,row2)"
+msgstr ""
+
+#: C/genius.xml:5596(para)
+#, fuzzy
+msgid "Swap two rows in a matrix."
+msgstr "Troca duas linhas de uma matriz"
+
+#: C/genius.xml:5601(term)
+msgid "<anchor id=\"gel-function-UpperTriangular\"/>UpperTriangular"
+msgstr ""
+
+#: C/genius.xml:5603(synopsis)
+#, no-wrap
+msgid "UpperTriangular (M)"
+msgstr ""
+
+#: C/genius.xml:5604(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:5609(term)
+msgid "<anchor id=\"gel-function-columns\"/>columns"
+msgstr ""
+
+#: C/genius.xml:5611(synopsis)
+#, no-wrap
+msgid "columns (M)"
+msgstr ""
+
+#: C/genius.xml:5612(para)
+#, fuzzy
+msgid "Get the number of columns of a matrix."
+msgstr "Obtém o número de colunas de uma matriz"
+
+#: C/genius.xml:5617(term)
+msgid "<anchor id=\"gel-function-elements\"/>elements"
+msgstr ""
+
+#: C/genius.xml:5619(synopsis)
+#, no-wrap
+msgid "elements (M)"
+msgstr ""
+
+#: C/genius.xml:5620(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:5626(term)
+msgid "<anchor id=\"gel-function-ones\"/>ones"
+msgstr ""
+
+#: C/genius.xml:5628(synopsis)
+#, no-wrap
+msgid "ones (rows,columns...)"
+msgstr ""
+
+#: C/genius.xml:5629(para)
+msgid ""
+"Make an matrix of all ones (or a row vector if only one argument is given). "
+"Returns <constant>null</constant> if either rows or columns are zero."
+msgstr ""
+
+#: C/genius.xml:5634(term)
+msgid "<anchor id=\"gel-function-rows\"/>rows"
+msgstr ""
+
+#: C/genius.xml:5636(synopsis)
+#, no-wrap
+msgid "rows (M)"
+msgstr ""
+
+#: C/genius.xml:5637(para)
+#, fuzzy
+msgid "Get the number of rows of a matrix."
+msgstr "Obtém o número de linhas de uma matriz"
+
+#: C/genius.xml:5642(term)
+msgid "<anchor id=\"gel-function-zeros\"/>zeros"
+msgstr ""
+
+#: C/genius.xml:5644(synopsis)
+#, no-wrap
+msgid "zeros (rows,columns...)"
+msgstr ""
+
+#: C/genius.xml:5645(para)
+msgid ""
+"Make a matrix of all zeros (or a row vector if only one argument is given). "
+"Returns <constant>null</constant> if either rows or columns are zero."
+msgstr ""
+
+#: C/genius.xml:5656(term)
+msgid "<anchor id=\"gel-function-AuxiliaryUnitMatrix\"/>AuxiliaryUnitMatrix"
+msgstr ""
+
+#: C/genius.xml:5658(synopsis)
+#, no-wrap
+msgid "AuxiliaryUnitMatrix (n)"
+msgstr ""
+
+#: C/genius.xml:5659(para)
+msgid ""
+"Get the auxiliary unit matrix of size <varname>n</varname>. This is a square "
+"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:5661(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:5670(term)
+msgid "<anchor id=\"gel-function-BilinearForm\"/>BilinearForm"
+msgstr ""
+
+#: C/genius.xml:5672(synopsis)
+#, no-wrap
+msgid "BilinearForm (v,A,w)"
+msgstr ""
+
+#: C/genius.xml:5673(para)
+#, fuzzy
+msgid "Evaluate (v,w) with respect to the bilinear form given by the matrix A."
+msgstr "Testa (v,w) em relação à forma bilinear dada pela matriz A"
+
+#: C/genius.xml:5678(term)
+msgid "<anchor id=\"gel-function-BilinearFormFunction\"/>BilinearFormFunction"
+msgstr ""
+
+#: C/genius.xml:5680(synopsis)
+#, no-wrap
+msgid "BilinearFormFunction (A)"
+msgstr ""
+
+#: C/genius.xml:5681(para)
+#, fuzzy
+msgid ""
+"Return a function that evaluates two vectors with respect to the bilinear "
+"form given by A."
+msgstr ""
+"Devolve a função que testa dois vetores em relação à forma bilinear dada por "
+"A"
+
+#: C/genius.xml:5686(term)
+msgid ""
+"<anchor id=\"gel-function-CharacteristicPolynomial\"/"
+">CharacteristicPolynomial"
+msgstr ""
+
+#: C/genius.xml:5688(synopsis)
+#, fuzzy, no-wrap
+msgid "CharacteristicPolynomial (M)"
+msgstr "Obtém o polinômio característico como um vetor"
+
+#: C/genius.xml:5689(para)
+msgid "Aliases: <function>CharPoly</function>"
+msgstr ""
+
+#: C/genius.xml:5690(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:5696(para) C/genius.xml:5712(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/CharacteristicEquation.";
+"html\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:5704(term)
+msgid ""
+"<anchor id=\"gel-function-CharacteristicPolynomialFunction\"/"
+">CharacteristicPolynomialFunction"
+msgstr ""
+
+#: C/genius.xml:5706(synopsis)
+#, fuzzy, no-wrap
+msgid "CharacteristicPolynomialFunction (M)"
+msgstr "Obtém o polinômio característico como uma função"
+
+#: C/genius.xml:5707(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:5720(term)
+msgid "<anchor id=\"gel-function-ColumnSpace\"/>ColumnSpace"
+msgstr ""
+
+#: C/genius.xml:5722(synopsis)
+#, no-wrap
+msgid "ColumnSpace (M)"
+msgstr ""
+
+#: C/genius.xml:5723(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:5731(term)
+msgid "<anchor id=\"gel-function-CommutationMatrix\"/>CommutationMatrix"
+msgstr ""
+
+#: C/genius.xml:5733(synopsis)
+#, no-wrap
+msgid "CommutationMatrix (m, n)"
+msgstr ""
+
+#: C/genius.xml:5734(para)
+#, fuzzy
+msgid ""
+"Return the commutation matrix <userinput>K(m,n)</userinput>, which is the "
+"unique <userinput>m*n</userinput> by <userinput>m*n</userinput> matrix such "
+"that <userinput>K(m,n) * MakeVector(A) = MakeVector(A.')</userinput> for all "
+"<varname>m</varname> by <varname>n</varname> matrices <varname>A</varname>."
+msgstr ""
+"Devolve a matriz de comutação K(m,n) a qual é a única matriz m*n por m*n tal "
+"que K(m,n) * MakeVector(A) = MakeVector(A.') para todas a matriz A que seja "
+"m por n."
+
+#: C/genius.xml:5741(term)
+msgid "<anchor id=\"gel-function-CompanionMatrix\"/>CompanionMatrix"
+msgstr ""
+
+#: C/genius.xml:5743(synopsis)
+#, fuzzy, no-wrap
+msgid "CompanionMatrix (p)"
+msgstr "Comparação (<=>)"
+
+#: C/genius.xml:5744(para)
+#, fuzzy
+msgid "Companion matrix of a polynomial (as vector)."
+msgstr "Matriz companheira de um polinômio (como vetor)"
+
+#: C/genius.xml:5749(term)
+msgid "<anchor id=\"gel-function-ConjugateTranspose\"/>ConjugateTranspose"
+msgstr ""
+
+#: C/genius.xml:5751(synopsis)
+#, fuzzy, no-wrap
+msgid "ConjugateTranspose (M)"
+msgstr "Transposição conjugada"
+
+#: C/genius.xml:5752(para)
+msgid ""
+"Conjugate transpose of a matrix (adjoint). This is the same as the "
+"<userinput>'</userinput> operator."
+msgstr ""
+
+#: C/genius.xml:5754(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/ConjugateTranspose.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:5762(term)
+msgid "<anchor id=\"gel-function-Convolution\"/>Convolution"
+msgstr ""
+
+#: C/genius.xml:5764(synopsis)
+#, no-wrap
+msgid "Convolution (a,b)"
+msgstr ""
+
+#: C/genius.xml:5765(para)
+msgid "Aliases: <function>convol</function>"
+msgstr ""
+
+#: C/genius.xml:5766(para)
+#, fuzzy
+msgid "Calculate convolution of two horizontal vectors."
+msgstr "Calcula a convolução de dois vetores linha"
+
+#: C/genius.xml:5771(term)
+msgid "<anchor id=\"gel-function-ConvolutionVector\"/>ConvolutionVector"
+msgstr ""
+
+#: C/genius.xml:5773(synopsis)
+#, no-wrap
+msgid "ConvolutionVector (a,b)"
+msgstr ""
+
+#: C/genius.xml:5774(para)
+#, fuzzy
+msgid ""
+"Calculate convolution of two horizontal vectors. Return result as a vector "
+"and not added together."
+msgstr "Calcula a convolução de dois vetores linha"
+
+#: C/genius.xml:5780(term)
+msgid "<anchor id=\"gel-function-CrossProduct\"/>CrossProduct"
+msgstr ""
+
+#: C/genius.xml:5782(synopsis)
+#, no-wrap
+msgid "CrossProduct (v,w)"
+msgstr ""
+
+#: C/genius.xml:5783(para)
+msgid ""
+"CrossProduct of two vectors in R<superscript>3</superscript> as a column "
+"vector."
+msgstr ""
+
+#: C/genius.xml:5789(term)
+msgid ""
+"<anchor id=\"gel-function-DeterminantalDivisorsInteger\"/"
+">DeterminantalDivisorsInteger"
+msgstr ""
+
+#: C/genius.xml:5791(synopsis)
+#, no-wrap
+msgid "DeterminantalDivisorsInteger (M)"
+msgstr ""
+
+#: C/genius.xml:5792(para)
+#, fuzzy
+msgid ""
+"Get the determinantal divisors of an integer matrix (not its characteristic)."
+msgstr ""
+"Obter os divisores determinantes de uma matriz de inteiros (não sua "
+"característica)"
+
+#: C/genius.xml:5797(term)
+msgid "<anchor id=\"gel-function-DirectSum\"/>DirectSum"
+msgstr ""
+
+#: C/genius.xml:5799(synopsis)
+#, no-wrap
+msgid "DirectSum (M,N...)"
+msgstr ""
+
+#: C/genius.xml:5800(para)
+#, fuzzy
+msgid "Direct sum of matrices."
+msgstr "Soma direta de matrizes"
+
+#: C/genius.xml:5805(term)
+msgid ""
+"<anchor id=\"gel-function-DirectSumMatrixVector\"/>DirectSumMatrixVector"
+msgstr ""
+
+#: C/genius.xml:5807(synopsis)
+#, no-wrap
+msgid "DirectSumMatrixVector (v)"
+msgstr ""
+
+#: C/genius.xml:5808(para)
+#, fuzzy
+msgid "Direct sum of a vector of matrices."
+msgstr "Soma direta de um vetor de matrizes"
+
+#: C/genius.xml:5813(term)
+msgid "<anchor id=\"gel-function-Eigenvalues\"/>Eigenvalues"
+msgstr ""
+
+#: C/genius.xml:5815(synopsis)
+#, no-wrap
+msgid "Eigenvalues (M)"
+msgstr ""
+
+#: C/genius.xml:5816(para)
+msgid "Aliases: <function>eig</function>"
+msgstr ""
+
+#: C/genius.xml:5817(para)
+#, fuzzy
+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 ""
+"Obter os autovalores de uma matriz (Atualmente apenas até matrizes 4x4 ou "
+"triangulares)"
+
+#: C/genius.xml:5822(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:5832(term)
+msgid "<anchor id=\"gel-function-Eigenvectors\"/>Eigenvectors"
+msgstr ""
+
+#: C/genius.xml:5834(synopsis)
+#, no-wrap
+msgid "Eigenvectors (M)"
+msgstr ""
+
+#: C/genius.xml:5835(synopsis)
+#, no-wrap
+msgid "Eigenvectors (M, &amp;eigenvalues)"
+msgstr ""
+
+#: C/genius.xml:5836(synopsis)
+#, no-wrap
+msgid "Eigenvectors (M, &amp;eigenvalues, &amp;multiplicities)"
+msgstr ""
+
+#: C/genius.xml:5837(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:5841(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:5851(term)
+msgid "<anchor id=\"gel-function-GramSchmidt\"/>GramSchmidt"
+msgstr ""
+
+#: C/genius.xml:5853(synopsis)
+#, no-wrap
+msgid "GramSchmidt (v,B...)"
+msgstr ""
+
+#: C/genius.xml:5854(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:5860(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/";
+"GramSchmidtOrthogonalization.html\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:5868(term)
+msgid "<anchor id=\"gel-function-HankelMatrix\"/>HankelMatrix"
+msgstr ""
+
+#: C/genius.xml:5870(synopsis)
+#, fuzzy, no-wrap
+msgid "HankelMatrix (c,r)"
+msgstr "Matriz de Hankel"
+
+#: C/genius.xml:5871(para)
+#, fuzzy
+msgid "Hankel matrix."
+msgstr "Matriz de Hankel"
+
+#: C/genius.xml:5876(term)
+msgid "<anchor id=\"gel-function-HilbertMatrix\"/>HilbertMatrix"
+msgstr ""
+
+#: C/genius.xml:5878(synopsis)
+#, fuzzy, no-wrap
+msgid "HilbertMatrix (n)"
+msgstr "Matriz de Hilbert de ordem n"
+
+#: C/genius.xml:5879(para)
+#, fuzzy
+msgid "Hilbert matrix of order <varname>n</varname>."
+msgstr "Matriz de Hilbert de ordem n"
+
+#: C/genius.xml:5880(para) C/genius.xml:5916(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/HilbertMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:5888(term)
+msgid "<anchor id=\"gel-function-Image\"/>Image"
+msgstr ""
+
+#: C/genius.xml:5890(synopsis)
+#, no-wrap
+msgid "Image (T)"
+msgstr ""
+
+#: C/genius.xml:5891(para)
+#, fuzzy
+msgid "Get the image (columnspace) of a linear transform."
+msgstr "Obtém a imagem (espaço de colunas) de uma transformação linear"
+
+#: C/genius.xml:5896(term)
+msgid "<anchor id=\"gel-function-InfNorm\"/>InfNorm"
+msgstr ""
+
+#: C/genius.xml:5898(synopsis)
+#, no-wrap
+msgid "InfNorm (v)"
+msgstr ""
+
+#: C/genius.xml:5899(para)
+msgid ""
+"Get the Inf Norm of a vector, sometimes called the sup norm or the max norm."
+msgstr ""
+
+#: C/genius.xml:5904(term)
+msgid ""
+"<anchor id=\"gel-function-InvariantFactorsInteger\"/>InvariantFactorsInteger"
+msgstr ""
+
+#: C/genius.xml:5906(synopsis)
+#, no-wrap
+msgid "InvariantFactorsInteger (M)"
+msgstr ""
+
+#: C/genius.xml:5907(para)
+#, fuzzy
+msgid ""
+"Get the invariant factors of a square integer matrix (not its "
+"characteristic)."
+msgstr ""
+"Obtém o fator invariante de uma matriz de inteiros quadrada (não sua "
+"característica)"
+
+#: C/genius.xml:5912(term)
+msgid "<anchor id=\"gel-function-InverseHilbertMatrix\"/>InverseHilbertMatrix"
+msgstr ""
+
+#: C/genius.xml:5914(synopsis)
+#, fuzzy, no-wrap
+msgid "InverseHilbertMatrix (n)"
+msgstr "Matriz de Hilbert inversa de ordem n"
+
+#: C/genius.xml:5915(para)
+#, fuzzy
+msgid "Inverse Hilbert matrix of order <varname>n</varname>."
+msgstr "Matriz de Hilbert inversa de ordem n"
+
+#: C/genius.xml:5924(term)
+msgid "<anchor id=\"gel-function-IsHermitian\"/>IsHermitian"
+msgstr ""
+
+#: C/genius.xml:5926(synopsis)
+#, fuzzy, no-wrap
+msgid "IsHermitian (M)"
+msgstr "É uma matriz hermitiana"
+
+#: C/genius.xml:5927(para)
+msgid "Is a matrix Hermitian. That is, is it equal to its conjugate transpose."
+msgstr ""
+
+#: C/genius.xml:5928(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/HermitianMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:5936(term)
+msgid "<anchor id=\"gel-function-IsInSubspace\"/>IsInSubspace"
+msgstr ""
+
+#: C/genius.xml:5938(synopsis)
+#, no-wrap
+msgid "IsInSubspace (v,W)"
+msgstr ""
+
+#: C/genius.xml:5939(para)
+#, fuzzy
+msgid "Test if a vector is in a subspace."
+msgstr "Testa se um vetor está num subespaço"
+
+#: C/genius.xml:5944(term)
+msgid "<anchor id=\"gel-function-IsInvertible\"/>IsInvertible"
+msgstr ""
+
+#: C/genius.xml:5946(synopsis)
+#, no-wrap
+msgid "IsInvertible (n)"
+msgstr ""
+
+#: C/genius.xml:5947(para)
+#, fuzzy
+msgid ""
+"Is a matrix (or number) invertible (Integer matrix is invertible if and only "
+"if it is invertible over the integers)."
+msgstr ""
+"É uma matriz (ou número) inversível (Uma matriz inteira é inversível se, e "
+"somente se, ela é inversível sobre os inteiros)"
+
+#: C/genius.xml:5952(term)
+msgid "<anchor id=\"gel-function-IsInvertibleField\"/>IsInvertibleField"
+msgstr ""
+
+#: C/genius.xml:5954(synopsis)
+#, no-wrap
+msgid "IsInvertibleField (n)"
+msgstr ""
+
+#: C/genius.xml:5955(para)
+#, fuzzy
+msgid "Is a matrix (or number) invertible over a field."
+msgstr "É uma matriz (ou número) inversível sobre um campo"
+
+#: C/genius.xml:5960(term)
+msgid "<anchor id=\"gel-function-IsNormal\"/>IsNormal"
+msgstr ""
+
+#: C/genius.xml:5962(synopsis)
+#, no-wrap
+msgid "IsNormal (M)"
+msgstr ""
+
+#: C/genius.xml:5963(para)
+msgid ""
+"Is <varname>M</varname> a normal matrix. That is, does <userinput>M*M' == "
+"M'*M</userinput>."
+msgstr ""
+
+#: C/genius.xml:5965(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:5974(term)
+msgid "<anchor id=\"gel-function-IsPositiveDefinite\"/>IsPositiveDefinite"
+msgstr ""
+
+#: C/genius.xml:5976(synopsis)
+#, fuzzy, no-wrap
+msgid "IsPositiveDefinite (M)"
+msgstr "É uma matriz positiva definida"
+
+#: C/genius.xml:5977(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:5984(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:5992(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:6001(term)
+msgid ""
+"<anchor id=\"gel-function-IsPositiveSemidefinite\"/>IsPositiveSemidefinite"
+msgstr ""
+
+#: C/genius.xml:6003(synopsis)
+#, fuzzy, no-wrap
+msgid "IsPositiveSemidefinite (M)"
+msgstr "É uma matriz positiva semi-definida"
+
+#: C/genius.xml:6004(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:6011(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:6019(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:6028(term)
+msgid "<anchor id=\"gel-function-IsSkewHermitian\"/>IsSkewHermitian"
+msgstr ""
+
+#: C/genius.xml:6030(synopsis)
+#, fuzzy, no-wrap
+msgid "IsSkewHermitian (M)"
+msgstr "É uma matriz anti-hermitiana"
+
+#: C/genius.xml:6031(para)
+msgid ""
+"Is a matrix skew-Hermitian. That is, is the conjugate transpose equal to "
+"negative of the matrix."
+msgstr ""
+
+#: C/genius.xml:6032(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/SkewHermitianMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6040(term)
+msgid "<anchor id=\"gel-function-IsUnitary\"/>IsUnitary"
+msgstr ""
+
+#: C/genius.xml:6042(synopsis)
+#, no-wrap
+msgid "IsUnitary (M)"
+msgstr ""
+
+#: C/genius.xml:6043(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:6046(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:6055(term)
+msgid "<anchor id=\"gel-function-JordanBlock\"/>JordanBlock"
+msgstr ""
+
+#: C/genius.xml:6057(synopsis)
+#, no-wrap
+msgid "JordanBlock (n,lambda)"
+msgstr ""
+
+#: C/genius.xml:6058(para)
+msgid "Aliases: <function>J</function>"
+msgstr ""
+
+#: C/genius.xml:6059(para)
+msgid ""
+"Get the Jordan block corresponding to the eigenvalue <varname>lambda</"
+"varname> with multiplicity <varname>n</varname>."
+msgstr ""
+
+#: C/genius.xml:6062(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:6071(term)
+msgid "<anchor id=\"gel-function-Kernel\"/>Kernel"
+msgstr ""
+
+#: C/genius.xml:6073(synopsis)
+#, no-wrap
+msgid "Kernel (T)"
+msgstr ""
+
+#: C/genius.xml:6074(para)
+#, fuzzy
+msgid "Get the kernel (nullspace) of a linear transform."
+msgstr "Obtém o núcleo (espaço nulo) de uma transformação linear"
+
+#: C/genius.xml:6075(para)
+msgid "(See <link linkend=\"gel-function-NullSpace\">NullSpace</link>)"
+msgstr ""
+
+#: C/genius.xml:6082(term)
+msgid "<anchor id=\"gel-function-KroneckerProduct\"/>KroneckerProduct"
+msgstr ""
+
+#: C/genius.xml:6084(synopsis)
+#, no-wrap
+msgid "KroneckerProduct (M, N)"
+msgstr ""
+
+#: C/genius.xml:6085(para)
+msgid "Aliases: <function>TensorProduct</function>"
+msgstr ""
+
+#: C/genius.xml:6086(para)
+#, fuzzy
+msgid ""
+"Compute the Kronecker product (tensor product in standard basis) of two "
+"matrices."
+msgstr "Calcula o produto de Kronecker de duas matrizes"
+
+#: C/genius.xml:6090(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Kronecker_product\";>Wikipedia</"
+"ulink>, <ulink url=\"http://planetmath.org/encyclopedia/KroneckerProduct.html";
+"\">Planetmath</ulink> or <ulink url=\"http://mathworld.wolfram.com/";
+"KroneckerProduct.html\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6101(term)
+msgid "<anchor id=\"gel-function-LUDecomposition\"/>LUDecomposition"
+msgstr ""
+
+#: C/genius.xml:6103(synopsis)
+#, no-wrap
+msgid "LUDecomposition (A, L, U)"
+msgstr ""
+
+#: C/genius.xml:6104(para)
+msgid ""
+"Get the LU decomposition of <varname>A</varname>, that is find a lower "
+"triangular matrix and upper triangular matrix whose product is <varname>A</"
+"varname> Store the result in the <varname>L</varname> and <varname>U</"
+"varname>, which should be references. It returns <constant>true</constant> "
+"if successful. For example suppose that A is a square matrix, then after "
+"running: <screen><prompt>genius&gt;</prompt> <userinput>LUDecomposition(A,"
+"&amp;L,&amp;U)</userinput>\n"
+"</screen> You will have the lower matrix stored in a variable called "
+"<varname>L</varname> and the upper matrix in a variable called <varname>U</"
+"varname>."
+msgstr ""
+
+#: C/genius.xml:6118(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:6126(para)
+msgid ""
+"Not all matrices have LU decompositions, for example <userinput>[0,1;1,0]</"
+"userinput> does not and this function returns <constant>false</constant> in "
+"this case and sets <varname>L</varname> and <varname>U</varname> to "
+"<constant>null</constant>."
+msgstr ""
+
+#: C/genius.xml:6132(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/LU_decomposition\";>Wikipedia</"
+"ulink>, <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:6142(term)
+msgid "<anchor id=\"gel-function-Minor\"/>Minor"
+msgstr ""
+
+#: C/genius.xml:6144(synopsis)
+#, no-wrap
+msgid "Minor (M,i,j)"
+msgstr ""
+
+#: C/genius.xml:6145(para)
+msgid "Get the <varname>i</varname>-<varname>j</varname> minor of a matrix."
+msgstr ""
+
+#: C/genius.xml:6146(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Minor.html\";>Planetmath</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6154(term)
+msgid "<anchor id=\"gel-function-NonPivotColumns\"/>NonPivotColumns"
+msgstr ""
+
+#: C/genius.xml:6156(synopsis)
+#, no-wrap
+msgid "NonPivotColumns (M)"
+msgstr ""
+
+#: C/genius.xml:6157(para)
+#, fuzzy
+msgid "Return the columns that are not the pivot columns of a matrix."
+msgstr "Devolve as colunas que não são as colunas pivô de uma matriz"
+
+#: C/genius.xml:6162(term)
+msgid "<anchor id=\"gel-function-Norm\"/>Norm"
+msgstr ""
+
+#: C/genius.xml:6164(synopsis)
+#, no-wrap
+msgid "Norm (v,p...)"
+msgstr ""
+
+#: C/genius.xml:6165(para)
+msgid "Aliases: <function>norm</function>"
+msgstr ""
+
+#: C/genius.xml:6166(para)
+#, fuzzy
+msgid "Get the p Norm (or 2 Norm if no p is supplied) of a vector."
+msgstr "Obtém a Norma p (ou Norma 2 se nenhum p for fornecido) de um vetor"
+
+#: C/genius.xml:6171(term)
+msgid "<anchor id=\"gel-function-NullSpace\"/>NullSpace"
+msgstr ""
+
+#: C/genius.xml:6173(synopsis)
+#, no-wrap
+msgid "NullSpace (T)"
+msgstr ""
+
+#: C/genius.xml:6174(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:6178(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Nullspace.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6186(term)
+msgid "<anchor id=\"gel-function-Nullity\"/>Nullity"
+msgstr ""
+
+#: C/genius.xml:6188(synopsis)
+#, no-wrap
+msgid "Nullity (M)"
+msgstr ""
+
+#: C/genius.xml:6189(para)
+msgid "Aliases: <function>nullity</function>"
+msgstr ""
+
+#: C/genius.xml:6190(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:6192(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Nullity.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6200(term)
+msgid "<anchor id=\"gel-function-OrthogonalComplement\"/>OrthogonalComplement"
+msgstr ""
+
+#: C/genius.xml:6202(synopsis)
+#, no-wrap
+msgid "OrthogonalComplement (M)"
+msgstr ""
+
+#: C/genius.xml:6203(para)
+#, fuzzy
+msgid "Get the orthogonal complement of the columnspace."
+msgstr "Obtém o complemento ortogonal do espaço de colunas"
+
+#: C/genius.xml:6208(term)
+msgid "<anchor id=\"gel-function-PivotColumns\"/>PivotColumns"
+msgstr ""
+
+#: C/genius.xml:6210(synopsis)
+#, no-wrap
+msgid "PivotColumns (M)"
+msgstr ""
+
+#: C/genius.xml:6211(para)
+#, fuzzy
+msgid ""
+"Return pivot columns of a matrix, that is columns that have a leading 1 in "
+"row reduced form. Also returns the row where they occur."
+msgstr ""
+"Devolve as colunas pivô de uma matriz, que são colunas que iniciadas por 1 "
+"na forma rref. Também retorna a linha em que elas ocorrem."
+
+#: C/genius.xml:6216(term)
+msgid "<anchor id=\"gel-function-Projection\"/>Projection"
+msgstr ""
+
+#: C/genius.xml:6218(synopsis)
+#, no-wrap
+msgid "Projection (v,W,B...)"
+msgstr ""
+
+#: C/genius.xml:6219(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:6229(term)
+msgid "<anchor id=\"gel-function-QRDecomposition\"/>QRDecomposition"
+msgstr ""
+
+#: C/genius.xml:6231(synopsis)
+#, no-wrap
+msgid "QRDecomposition (A, Q)"
+msgstr ""
+
+#: C/genius.xml:6232(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 <constant>null</constant> if you don't want any return. For "
+"example: <screen><prompt>genius&gt;</prompt> <userinput>R = "
+"QRDecomposition(A,&amp;Q)</userinput>\n"
+"</screen> You will have the upper triangular matrix stored in a variable "
+"called <varname>R</varname> and the orthogonal (unitary) matrix stored in "
+"<varname>Q</varname>."
+msgstr ""
+
+#: C/genius.xml:6246(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/QR_decomposition\";>Wikipedia</"
+"ulink> or <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:6256(term)
+msgid "<anchor id=\"gel-function-RayleighQuotient\"/>RayleighQuotient"
+msgstr ""
+
+#: C/genius.xml:6258(synopsis)
+#, no-wrap
+msgid "RayleighQuotient (A,x)"
+msgstr ""
+
+#: C/genius.xml:6259(para)
+#, fuzzy
+msgid ""
+"Return the Rayleigh quotient (also called the Rayleigh-Ritz quotient or "
+"ratio) of a matrix and a vector."
+msgstr "Devolve o quociente de Rayleigh de uma matriz e de um vetor"
+
+#: C/genius.xml:6260(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/RayleighQuotient.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6268(term)
+msgid ""
+"<anchor id=\"gel-function-RayleighQuotientIteration\"/"
+">RayleighQuotientIteration"
+msgstr ""
+
+#: C/genius.xml:6270(synopsis)
+#, no-wrap
+msgid "RayleighQuotientIteration (A,x,epsilon,maxiter,vecref)"
+msgstr ""
+
+#: C/genius.xml:6271(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 <constant>null</constant> if we cannot get "
+"within an error of <varname>epsilon</varname>. <varname>vecref</varname> "
+"should either be <constant>null</constant> or a reference to a variable "
+"where the eigenvector should be stored."
+msgstr ""
+
+#: C/genius.xml:6281(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/RayleighQuotient.html";
+"\">Planetmath</ulink> for more information on Rayleigh quotient."
+msgstr ""
+
+#: C/genius.xml:6289(term)
+msgid "<anchor id=\"gel-function-Rank\"/>Rank"
+msgstr ""
+
+#: C/genius.xml:6291(synopsis)
+#, no-wrap
+msgid "Rank (M)"
+msgstr ""
+
+#: C/genius.xml:6292(para)
+msgid "Aliases: <function>rank</function>"
+msgstr ""
+
+#: C/genius.xml:6293(para)
+#, fuzzy
+msgid "Get the rank of a matrix."
+msgstr "Obtém o posto de uma matriz"
+
+#: C/genius.xml:6294(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/SylvestersLaw.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6302(term)
+msgid "<anchor id=\"gel-function-RosserMatrix\"/>RosserMatrix"
+msgstr ""
+
+#: C/genius.xml:6304(synopsis)
+#, no-wrap
+msgid "RosserMatrix ()"
+msgstr ""
+
+#: C/genius.xml:6305(para)
+#, fuzzy
+msgid ""
+"Returns the Rosser matrix, which is a classic symmetric eigenvalue test "
+"problem."
+msgstr "Matriz rosser, um problema clássico de autovalor simétrico"
+
+#: C/genius.xml:6310(term)
+msgid "<anchor id=\"gel-function-Rotation2D\"/>Rotation2D"
+msgstr ""
+
+#: C/genius.xml:6312(synopsis)
+#, no-wrap
+msgid "Rotation2D (angle)"
+msgstr ""
+
+#: C/genius.xml:6313(para)
+msgid "Aliases: <function>RotationMatrix</function>"
+msgstr ""
+
+#: C/genius.xml:6314(para)
+msgid ""
+"Return the matrix corresponding to rotation around origin in "
+"R<superscript>2</superscript>."
+msgstr ""
+
+#: C/genius.xml:6319(term)
+msgid "<anchor id=\"gel-function-Rotation3DX\"/>Rotation3DX"
+msgstr ""
+
+#: C/genius.xml:6321(synopsis)
+#, no-wrap
+msgid "Rotation3DX (angle)"
+msgstr ""
+
+#: C/genius.xml:6322(para)
+msgid ""
+"Return the matrix corresponding to rotation around origin in "
+"R<superscript>3</superscript> about the x-axis."
+msgstr ""
+
+#: C/genius.xml:6327(term)
+msgid "<anchor id=\"gel-function-Rotation3DY\"/>Rotation3DY"
+msgstr ""
+
+#: C/genius.xml:6329(synopsis)
+#, no-wrap
+msgid "Rotation3DY (angle)"
+msgstr ""
+
+#: C/genius.xml:6330(para)
+msgid ""
+"Return the matrix corresponding to rotation around origin in "
+"R<superscript>3</superscript> about the y-axis."
+msgstr ""
+
+#: C/genius.xml:6335(term)
+msgid "<anchor id=\"gel-function-Rotation3DZ\"/>Rotation3DZ"
+msgstr ""
+
+#: C/genius.xml:6337(synopsis)
+#, no-wrap
+msgid "Rotation3DZ (angle)"
+msgstr ""
+
+#: C/genius.xml:6338(para)
+msgid ""
+"Return the matrix corresponding to rotation around origin in "
+"R<superscript>3</superscript> about the z-axis."
+msgstr ""
+
+#: C/genius.xml:6343(term)
+msgid "<anchor id=\"gel-function-RowSpace\"/>RowSpace"
+msgstr ""
+
+#: C/genius.xml:6345(synopsis)
+#, no-wrap
+msgid "RowSpace (M)"
+msgstr ""
+
+#: C/genius.xml:6346(para)
+#, fuzzy
+msgid "Get a basis matrix for the rowspace of a matrix."
+msgstr "Obtém uma matriz base para o espaço de linhas de uma matriz"
+
+#: C/genius.xml:6351(term)
+msgid "<anchor id=\"gel-function-SesquilinearForm\"/>SesquilinearForm"
+msgstr ""
+
+#: C/genius.xml:6353(synopsis)
+#, no-wrap
+msgid "SesquilinearForm (v,A,w)"
+msgstr ""
+
+#: C/genius.xml:6354(para)
+#, fuzzy
+msgid ""
+"Evaluate (v,w) with respect to the sesquilinear form given by the matrix A."
+msgstr "Testa (v,w) em relação à forma sesquilinear dada pela matriz A"
+
+#: C/genius.xml:6359(term)
+msgid ""
+"<anchor id=\"gel-function-SesquilinearFormFunction\"/"
+">SesquilinearFormFunction"
+msgstr ""
+
+#: C/genius.xml:6361(synopsis)
+#, no-wrap
+msgid "SesquilinearFormFunction (A)"
+msgstr ""
+
+#: C/genius.xml:6362(para)
+#, fuzzy
+msgid ""
+"Return a function that evaluates two vectors with respect to the "
+"sesquilinear form given by A."
+msgstr ""
+"Devolve a função que testa dois vetores em relação à forma sesquilinear dada "
+"por A"
+
+#: C/genius.xml:6367(term)
+msgid "<anchor id=\"gel-function-SmithNormalFormField\"/>SmithNormalFormField"
+msgstr ""
+
+#: C/genius.xml:6369(synopsis)
+#, no-wrap
+msgid "SmithNormalFormField (A)"
+msgstr ""
+
+#: C/genius.xml:6370(para)
+#, fuzzy
+msgid ""
+"Returns the Smith normal form of a matrix over fields (will end up with 1's "
+"on the diagonal)."
+msgstr "Forma Normal de Smith para campos (terminarão com 1 na diagonal)"
+
+#: C/genius.xml:6371(para) C/genius.xml:6383(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Smith_normal_form\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6379(term)
+msgid ""
+"<anchor id=\"gel-function-SmithNormalFormInteger\"/>SmithNormalFormInteger"
+msgstr ""
+
+#: C/genius.xml:6381(synopsis)
+#, no-wrap
+msgid "SmithNormalFormInteger (M)"
+msgstr ""
+
+#: C/genius.xml:6382(para)
+#, fuzzy
+msgid ""
+"Return the Smith normal form for square integer matrices over integers (not "
+"its characteristic)."
+msgstr ""
+"Forma Normal de Smith para matrizes de inteiros quadradas (não sua "
+"característica)"
+
+#: C/genius.xml:6391(term)
+msgid "<anchor id=\"gel-function-SolveLinearSystem\"/>SolveLinearSystem"
+msgstr ""
+
+#: C/genius.xml:6393(synopsis)
+#, no-wrap
+msgid "SolveLinearSystem (M,V,args...)"
+msgstr ""
+
+#: C/genius.xml:6394(para)
+#, fuzzy
+msgid ""
+"Solve linear system Mx=V, return solution V if there is a unique solution, "
+"<constant>null</constant> otherwise. Extra two reference parameters can "
+"optionally be used to get the reduced M and V."
+msgstr ""
+"Resolve um sistema linear Mx=V, retorna a solução V se houver uma única "
+"solução e do contrário null. Dois parâmetros de referência extras podem "
+"opcionalmente ser usados para obter a matriz M reduzida e V."
+
+#: C/genius.xml:6399(term)
+msgid "<anchor id=\"gel-function-ToeplitzMatrix\"/>ToeplitzMatrix"
+msgstr ""
+
+#: C/genius.xml:6401(synopsis)
+#, no-wrap
+msgid "ToeplitzMatrix (c, r...)"
+msgstr ""
+
+#: C/genius.xml:6402(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:6406(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Toeplitz_matrix\";>Wikipedia</"
+"ulink> or <ulink url=\"http://planetmath.org/encyclopedia/ToeplitzMatrix.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6415(term)
+msgid "<anchor id=\"gel-function-Trace\"/>Trace"
+msgstr ""
+
+#: C/genius.xml:6417(synopsis)
+#, no-wrap
+msgid "Trace (M)"
+msgstr ""
+
+#: C/genius.xml:6418(para)
+msgid "Aliases: <function>trace</function>"
+msgstr ""
+
+#: C/genius.xml:6419(para)
+msgid ""
+"Calculate the trace of a matrix. That is the sum of the diagonal elements."
+msgstr ""
+
+#: C/genius.xml:6420(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/";
+"Trace_(linear_algebra)\">Wikipedia</ulink> or <ulink url=\"http://planetmath.";
+"org/encyclopedia/Trace.html\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6429(term)
+msgid "<anchor id=\"gel-function-Transpose\"/>Transpose"
+msgstr ""
+
+#: C/genius.xml:6431(synopsis)
+#, fuzzy, no-wrap
+msgid "Transpose (M)"
+msgstr "Transposição"
+
+#: C/genius.xml:6432(para)
+msgid ""
+"Transpose of a matrix. This is the same as the <userinput>.'</userinput> "
+"operator."
+msgstr ""
+
+#: C/genius.xml:6434(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Transpose\";>Wikipedia</ulink> "
+"or <ulink url=\"http://planetmath.org/encyclopedia/Transpose.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6443(term)
+msgid "<anchor id=\"gel-function-VandermondeMatrix\"/>VandermondeMatrix"
+msgstr ""
+
+#: C/genius.xml:6445(synopsis)
+#, fuzzy, no-wrap
+msgid "VandermondeMatrix (v)"
+msgstr "Devolve a matriz de Vandermonde"
+
+#: C/genius.xml:6446(para)
+msgid "Aliases: <function>vander</function>"
+msgstr ""
+
+#: C/genius.xml:6447(para)
+#, fuzzy
+msgid "Return the Vandermonde matrix."
+msgstr "Devolve a matriz de Vandermonde"
+
+#: C/genius.xml:6448(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Vandermonde_matrix";
+"\">Wikipedia</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6456(term)
+msgid "<anchor id=\"gel-function-VectorAngle\"/>VectorAngle"
+msgstr ""
+
+#: C/genius.xml:6458(synopsis)
+#, no-wrap
+msgid "VectorAngle (v,w,B...)"
+msgstr ""
+
+#: C/genius.xml:6459(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:6468(term)
+msgid "<anchor id=\"gel-function-VectorSpaceDirectSum\"/>VectorSpaceDirectSum"
+msgstr ""
+
+#: C/genius.xml:6470(synopsis)
+#, no-wrap
+msgid "VectorSpaceDirectSum (M,N)"
+msgstr ""
+
+#: C/genius.xml:6471(para)
+#, fuzzy
+msgid "The direct sum of the vector spaces M and N."
+msgstr "A soma direta dos espaços vetoriais de M e N"
+
+#: C/genius.xml:6476(term)
+msgid ""
+"<anchor id=\"gel-function-VectorSubspaceIntersection\"/"
+">VectorSubspaceIntersection"
+msgstr ""
+
+#: C/genius.xml:6478(synopsis)
+#, no-wrap
+msgid "VectorSubspaceIntersection (M,N)"
+msgstr ""
+
+#: C/genius.xml:6479(para)
+#, fuzzy
+msgid "Intersection of the subspaces given by M and N."
+msgstr "Interseção do subespaço dado por M e N"
+
+#: C/genius.xml:6484(term)
+msgid "<anchor id=\"gel-function-VectorSubspaceSum\"/>VectorSubspaceSum"
+msgstr ""
+
+#: C/genius.xml:6486(synopsis)
+#, no-wrap
+msgid "VectorSubspaceSum (M,N)"
+msgstr ""
+
+#: C/genius.xml:6487(para)
+#, fuzzy
+msgid ""
+"The sum of the vector spaces M and N, that is {w | w=m+n, m in M, n in N}."
+msgstr ""
+"A soma dos espaços vetoriais de M e N, que é {w | w=m+n, m in M, n in N}"
+
+#: C/genius.xml:6492(term)
+msgid "<anchor id=\"gel-function-adj\"/>adj"
+msgstr ""
+
+#: C/genius.xml:6494(synopsis)
+#, no-wrap
+msgid "adj (m)"
+msgstr ""
+
+#: C/genius.xml:6495(para)
+msgid "Aliases: <function>Adjugate</function>"
+msgstr ""
+
+#: C/genius.xml:6496(para)
+#, fuzzy
+msgid "Get the classical adjoint (adjugate) of a matrix."
+msgstr "Obtém o adjunto clássico de uma matriz"
+
+#: C/genius.xml:6501(term)
+msgid "<anchor id=\"gel-function-cref\"/>cref"
+msgstr ""
+
+#: C/genius.xml:6503(synopsis)
+#, no-wrap
+msgid "cref (M)"
+msgstr ""
+
+#: C/genius.xml:6504(para)
+msgid ""
+"Aliases: <function>CREF</function><function>ColumnReducedEchelonForm</"
+"function>"
+msgstr ""
+
+#: C/genius.xml:6505(para)
+#, fuzzy
+msgid "Compute the Column Reduced Echelon Form."
+msgstr "Calcula a forma escada coluna reduzida"
+
+#: C/genius.xml:6510(term)
+msgid "<anchor id=\"gel-function-det\"/>det"
+msgstr ""
+
+#: C/genius.xml:6512(synopsis)
+#, no-wrap
+msgid "det (M)"
+msgstr ""
+
+#: C/genius.xml:6513(para)
+msgid "Aliases: <function>Determinant</function>"
+msgstr ""
+
+#: C/genius.xml:6514(para)
+#, fuzzy
+msgid "Get the determinant of a matrix."
+msgstr "Obtém o determinante de uma matriz"
+
+#: C/genius.xml:6515(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:6524(term)
+msgid "<anchor id=\"gel-function-ref\"/>ref"
+msgstr ""
+
+#: C/genius.xml:6526(synopsis)
+#, no-wrap
+msgid "ref (M)"
+msgstr ""
+
+#: C/genius.xml:6527(para)
+msgid "Aliases: <function>REF</function><function>RowEchelonForm</function>"
+msgstr ""
+
+#: C/genius.xml:6528(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:6531(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:6540(term)
+msgid "<anchor id=\"gel-function-rref\"/>rref"
+msgstr ""
+
+#: C/genius.xml:6542(synopsis)
+#, no-wrap
+msgid "rref (M)"
+msgstr ""
+
+#: C/genius.xml:6543(para)
+msgid ""
+"Aliases: <function>RREF</function><function>ReducedRowEchelonForm</function>"
+msgstr ""
+
+#: C/genius.xml:6544(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:6545(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:6557(title)
+msgid "Combinatorics"
+msgstr "Combinatória"
+
+#: C/genius.xml:6560(term)
+msgid "<anchor id=\"gel-function-Catalan\"/>Catalan"
+msgstr ""
+
+#: C/genius.xml:6562(synopsis)
+#, no-wrap
+msgid "Catalan (n)"
+msgstr ""
+
+#: C/genius.xml:6563(para)
+#, fuzzy
+msgid "Get <varname>n</varname>th Catalan number."
+msgstr "Obtém o n-ésimo número catalão"
+
+#: C/genius.xml:6564(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/CatalanNumbers.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6572(term)
+msgid "<anchor id=\"gel-function-Combinations\"/>Combinations"
+msgstr ""
+
+#: C/genius.xml:6574(synopsis)
+#, fuzzy, no-wrap
+msgid "Combinations (k,n)"
+msgstr "Combinatória"
+
+#: C/genius.xml:6575(para)
+#, fuzzy
+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 ""
+"Obtém todas as combinações de k números de 1 a n como um vetor de vetores"
+
+#: C/genius.xml:6582(term)
+msgid "<anchor id=\"gel-function-DoubleFactorial\"/>DoubleFactorial"
+msgstr ""
+
+#: C/genius.xml:6584(synopsis)
+#, fuzzy, no-wrap
+msgid "DoubleFactorial (n)"
+msgstr "Fatorial duplo"
+
+#: C/genius.xml:6585(para)
+#, fuzzy
+msgid "Double factorial: <userinput>n(n-2)(n-4)...</userinput>"
+msgstr "Fatorial duplo: n(n-2)(n-4)..."
+
+#: C/genius.xml:6586(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/DoubleFactorial.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6594(term)
+msgid "<anchor id=\"gel-function-Factorial\"/>Factorial"
+msgstr ""
+
+#: C/genius.xml:6596(synopsis)
+#, fuzzy, no-wrap
+msgid "Factorial (n)"
+msgstr "Fatorial"
+
+#: C/genius.xml:6597(para)
+#, fuzzy
+msgid "Factorial: <userinput>n(n-1)(n-2)...</userinput>"
+msgstr "Fatorial: n(n-1)(n-2)..."
+
+#: C/genius.xml:6598(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Factorial.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6606(term)
+msgid "<anchor id=\"gel-function-FallingFactorial\"/>FallingFactorial"
+msgstr ""
+
+#: C/genius.xml:6608(synopsis)
+#, no-wrap
+msgid "FallingFactorial (n,k)"
+msgstr ""
+
+#: C/genius.xml:6609(para)
+#, fuzzy
+msgid "Falling factorial: <userinput>(n)_k = n(n-1)...(n-(k-1))</userinput>"
+msgstr "Fatorial decrescente: (n)_k = n(n-1)...(n-(k-1))"
+
+#: C/genius.xml:6610(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/FallingFactorial.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6618(term)
+msgid "<anchor id=\"gel-function-Fibonacci\"/>Fibonacci"
+msgstr ""
+
+#: C/genius.xml:6620(synopsis)
+#, no-wrap
+msgid "Fibonacci (x)"
+msgstr ""
+
+#: C/genius.xml:6621(para)
+msgid "Aliases: <function>fib</function>"
+msgstr ""
+
+#: C/genius.xml:6622(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:6629(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:6639(term)
+msgid "<anchor id=\"gel-function-FrobeniusNumber\"/>FrobeniusNumber"
+msgstr ""
+
+#: C/genius.xml:6641(synopsis)
+#, no-wrap
+msgid "FrobeniusNumber (v,arg...)"
+msgstr ""
+
+#: C/genius.xml:6642(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:6649(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/FrobeniusNumber.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6657(term)
+msgid "<anchor id=\"gel-function-GaloisMatrix\"/>GaloisMatrix"
+msgstr ""
+
+#: C/genius.xml:6659(synopsis)
+#, no-wrap
+msgid "GaloisMatrix (combining_rule)"
+msgstr ""
+
+#: C/genius.xml:6660(para)
+#, fuzzy
+msgid ""
+"Galois matrix given a linear combining rule (a_1*x_+...+a_n*x_n=x_(n+1))."
+msgstr ""
+"Matriz de Galois dada por uma regra de combinação linear (a_1*x_+..."
+"+a_n*x_n=x_(n+1))"
+
+#: C/genius.xml:6665(term)
+msgid "<anchor id=\"gel-function-GreedyAlgorithm\"/>GreedyAlgorithm"
+msgstr ""
+
+#: C/genius.xml:6667(synopsis)
+#, no-wrap
+msgid "FrobeniusNumber (n,v)"
+msgstr ""
+
+#: C/genius.xml:6668(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 <constant>null</constant>. <varname>v</varname> should be "
+"given sorted in increasing order and should consist of non-negative integers."
+msgstr ""
+
+#: C/genius.xml:6675(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/GreedyAlgorithm.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6683(term)
+msgid "<anchor id=\"gel-function-HarmonicNumber\"/>HarmonicNumber"
+msgstr ""
+
+#: C/genius.xml:6685(synopsis)
+#, no-wrap
+msgid "HarmonicNumber (n,r)"
+msgstr ""
+
+#: C/genius.xml:6686(para)
+msgid "Aliases: <function>HarmonicH</function>"
+msgstr ""
+
+#: C/genius.xml:6687(para)
+#, fuzzy
+msgid ""
+"Harmonic Number, the <varname>n</varname>th harmonic number of order "
+"<varname>r</varname>."
+msgstr "Número Harmônico, o n-ésimo número harmônico de ordem r"
+
+#: C/genius.xml:6692(term)
+msgid "<anchor id=\"gel-function-Hofstadter\"/>Hofstadter"
+msgstr ""
+
+#: C/genius.xml:6694(synopsis)
+#, no-wrap
+msgid "Hofstadter (n)"
+msgstr ""
+
+#: C/genius.xml:6695(para)
+#, fuzzy
+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 ""
+"Função de Hofstadter q(n) definida por q(1)=1, q(2)=1, q(n)=q(n-q(n-1))+q(n-"
+"q(n-2))"
+
+#: C/genius.xml:6700(term)
+msgid ""
+"<anchor id=\"gel-function-LinearRecursiveSequence\"/>LinearRecursiveSequence"
+msgstr ""
+
+#: C/genius.xml:6702(synopsis)
+#, no-wrap
+msgid "LinearRecursiveSequence (seed_values,combining_rule,n)"
+msgstr ""
+
+#: C/genius.xml:6703(para)
+#, fuzzy
+msgid "Compute linear recursive sequence using Galois stepping."
+msgstr "Calcula a sequência recursiva linear usando os passos Galois"
+
+#: C/genius.xml:6708(term)
+msgid "<anchor id=\"gel-function-Multinomial\"/>Multinomial"
+msgstr ""
+
+#: C/genius.xml:6710(synopsis)
+#, no-wrap
+msgid "Multinomial (v,arg...)"
+msgstr ""
+
+#: C/genius.xml:6711(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:6720(programlisting)
+#, no-wrap
+msgid "(a+b+c)! / (a!b!c!)\n"
+msgstr ""
+
+#: C/genius.xml:6717(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:6727(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:6737(term)
+msgid "<anchor id=\"gel-function-NextCombination\"/>NextCombination"
+msgstr ""
+
+#: C/genius.xml:6739(synopsis)
+#, no-wrap
+msgid "NextCombination (v,n)"
+msgstr ""
+
+#: C/genius.xml:6740(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:6745(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:6763(term)
+msgid "<anchor id=\"gel-function-Pascal\"/>Pascal"
+msgstr ""
+
+#: C/genius.xml:6765(synopsis)
+#, no-wrap
+msgid "Pascal (i)"
+msgstr ""
+
+#: C/genius.xml:6766(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 that is the "
+"Pascal's triangle after <varname>i</varname> iterations."
+msgstr ""
+
+#: C/genius.xml:6770(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/PascalsTriangle.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6778(term)
+msgid "<anchor id=\"gel-function-Permutations\"/>Permutations"
+msgstr ""
+
+#: C/genius.xml:6780(synopsis)
+#, no-wrap
+msgid "Permutations (k,n)"
+msgstr ""
+
+#: C/genius.xml:6781(para)
+#, fuzzy
+msgid ""
+"Get all permutations of <varname>k</varname> numbers from 1 to <varname>n</"
+"varname> as a vector of vectors."
+msgstr ""
+"Obtém todas as permutações de k números de 1 a n como um vetor de vetores"
+
+#: C/genius.xml:6782(para) C/genius.xml:6871(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:6791(term)
+msgid "<anchor id=\"gel-function-RisingFactorial\"/>RisingFactorial"
+msgstr ""
+
+#: C/genius.xml:6793(synopsis)
+#, fuzzy, no-wrap
+msgid "RisingFactorial (n,k)"
+msgstr "Fatorial"
+
+#: C/genius.xml:6794(para)
+msgid "Aliases: <function>Pochhammer</function>"
+msgstr ""
+
+#: C/genius.xml:6795(para)
+#, fuzzy
+msgid "(Pochhammer) Rising factorial: (n)_k = n(n+1)...(n+(k-1))."
+msgstr "(Pochhammer) Fatorial crescente: (n)_k = n(n+1)...(n+(k-1))"
+
+#: C/genius.xml:6796(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/RisingFactorial.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6804(term)
+msgid "<anchor id=\"gel-function-StirlingNumberFirst\"/>StirlingNumberFirst"
+msgstr ""
+
+#: C/genius.xml:6806(synopsis)
+#, fuzzy, no-wrap
+msgid "StirlingNumberFirst (n,m)"
+msgstr "Número de Stirling do primeiro tipo"
+
+#: C/genius.xml:6807(para)
+msgid "Aliases: <function>StirlingS1</function>"
+msgstr ""
+
+#: C/genius.xml:6808(para)
+#, fuzzy
+msgid "Stirling number of the first kind."
+msgstr "Número de Stirling do primeiro tipo"
+
+#: C/genius.xml:6809(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:6818(term)
+msgid "<anchor id=\"gel-function-StirlingNumberSecond\"/>StirlingNumberSecond"
+msgstr ""
+
+#: C/genius.xml:6820(synopsis)
+#, fuzzy, no-wrap
+msgid "StirlingNumberSecond (n,m)"
+msgstr "Número de Stirling do segundo tipo"
+
+#: C/genius.xml:6821(para)
+msgid "Aliases: <function>StirlingS2</function>"
+msgstr ""
+
+#: C/genius.xml:6822(para)
+#, fuzzy
+msgid "Stirling number of the second kind."
+msgstr "Número de Stirling do segundo tipo"
+
+#: C/genius.xml:6823(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:6832(term)
+msgid "<anchor id=\"gel-function-Subfactorial\"/>Subfactorial"
+msgstr ""
+
+#: C/genius.xml:6834(synopsis)
+#, fuzzy, no-wrap
+msgid "Subfactorial (n)"
+msgstr "Fatorial duplo"
+
+#: C/genius.xml:6835(para)
+#, fuzzy
+msgid "Subfactorial: n! times sum_{k=1}^n (-1)^k/k!."
+msgstr "Subfatorial: n! vezes sum_{k=1}^n (-1)^k/k!"
+
+#: C/genius.xml:6840(term)
+msgid "<anchor id=\"gel-function-Triangular\"/>Triangular"
+msgstr ""
+
+#: C/genius.xml:6842(synopsis)
+#, no-wrap
+msgid "Triangular (nth)"
+msgstr ""
+
+#: C/genius.xml:6843(para)
+#, fuzzy
+msgid "Calculate the <varname>n</varname>th triangular number."
+msgstr "Calcula o n-ésimo número triangular"
+
+#: C/genius.xml:6844(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/TriangularNumbers.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6852(term)
+msgid "<anchor id=\"gel-function-nCr\"/>nCr"
+msgstr ""
+
+#: C/genius.xml:6854(synopsis)
+#, no-wrap
+msgid "nCr (n,r)"
+msgstr ""
+
+#: C/genius.xml:6855(para)
+msgid "Aliases: <function>Binomial</function>"
+msgstr ""
+
+#: C/genius.xml:6856(para)
+msgid ""
+"Calculate combinations, that is, the binomial coefficient. <varname>n</"
+"varname> can be any real number."
+msgstr ""
+
+#: C/genius.xml:6858(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/Choose.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6866(term)
+msgid "<anchor id=\"gel-function-nPr\"/>nPr"
+msgstr ""
+
+#: C/genius.xml:6868(synopsis)
+#, no-wrap
+msgid "nPr (n,r)"
+msgstr ""
+
+#: C/genius.xml:6869(para)
+msgid ""
+"Calculate the number of permutations of size <varname>r</varname>of numbers "
+"from 1 to <varname>n</varname>."
+msgstr ""
+
+#: C/genius.xml:6883(title)
+msgid "Calculus"
+msgstr "Cálculo"
+
+#: C/genius.xml:6886(term)
+msgid ""
+"<anchor id=\"gel-function-CompositeSimpsonsRule\"/>CompositeSimpsonsRule"
+msgstr ""
+
+#: C/genius.xml:6888(synopsis)
+#, fuzzy, no-wrap
+msgid "CompositeSimpsonsRule (f,a,b,n)"
+msgstr "Integração pela Regra Composta de Simpson"
+
+#: C/genius.xml:6889(para)
+#, fuzzy
+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 ""
+"Integral de f pela Regra Composta de Simpson no intervalo [a,b] com n "
+"subintervalos com erro de máx(f'''')*h^4*(b-a)/180, note que n deve ser ímpar"
+
+#: C/genius.xml:6890(para) C/genius.xml:6902(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/SimpsonsRule.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:6898(term)
+msgid ""
+"<anchor id=\"gel-function-CompositeSimpsonsRuleTolerance\"/"
+">CompositeSimpsonsRuleTolerance"
+msgstr ""
+
+#: C/genius.xml:6900(synopsis)
+#, no-wrap
+msgid "CompositeSimpsonsRuleTolerance (f,a,b,FourthDerivativeBound,Tolerance)"
+msgstr ""
+
+#: C/genius.xml:6901(para)
+#, fuzzy
+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 ""
+"Integral de f pela Regra de Simpson Composta no intervalo [a,b] com o número "
+"de passos calculado pelo limite da quarta derivada e a tolerância desejada"
+
+#: C/genius.xml:6910(term)
+msgid "<anchor id=\"gel-function-Derivative\"/>Derivative"
+msgstr ""
+
+#: C/genius.xml:6912(synopsis)
+#, no-wrap
+msgid "Derivative (f,x0)"
+msgstr ""
+
+#: C/genius.xml:6913(para)
+#, fuzzy
+msgid ""
+"Attempt to calculate derivative by trying first symbolically and then "
+"numerically."
+msgstr ""
+"Tenta calcular a derivada, na primeira tentativa simbolicamente e depois "
+"numericamente"
+
+#: C/genius.xml:6918(term)
+msgid ""
+"<anchor id=\"gel-function-EvenPeriodicExtension\"/>EvenPeriodicExtension"
+msgstr ""
+
+#: C/genius.xml:6920(synopsis)
+#, no-wrap
+msgid "EvenPeriodicExtension (f,L)"
+msgstr ""
+
+#: C/genius.xml:6921(para)
+msgid ""
+"Return a function that is the 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:6926(para)
+msgid ""
+"See also <link linkend=\"gel-function-OddPeriodicExtension"
+"\">OddPeriodicExtension</link> and <link linkend=\"gel-function-"
+"PeriodicExtension\">PeriodicExtension</link>."
+msgstr ""
+
+#: C/genius.xml:6936(term)
+msgid ""
+"<anchor id=\"gel-function-FourierSeriesFunction\"/>FourierSeriesFunction"
+msgstr ""
+
+#: C/genius.xml:6938(synopsis)
+#, no-wrap
+msgid "FourierSeriesFunction (a,b,L)"
+msgstr ""
+
+#: C/genius.xml:6939(para)
+msgid ""
+"Return a function that 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:6947(para) C/genius.xml:7049(para) C/genius.xml:7068(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:6956(term)
+msgid "<anchor id=\"gel-function-InfiniteProduct\"/>InfiniteProduct"
+msgstr ""
+
+#: C/genius.xml:6958(synopsis)
+#, no-wrap
+msgid "InfiniteProduct (func,start,inc)"
+msgstr ""
+
+#: C/genius.xml:6959(para)
+#, fuzzy
+msgid "Try to calculate an infinite product for a single parameter function."
+msgstr "Tenta calcular um produto infinito para uma função de parâmetro único"
+
+#: C/genius.xml:6964(term)
+msgid "<anchor id=\"gel-function-InfiniteProduct2\"/>InfiniteProduct2"
+msgstr ""
+
+#: C/genius.xml:6966(synopsis)
+#, no-wrap
+msgid "InfiniteProduct2 (func,arg,start,inc)"
+msgstr ""
+
+#: C/genius.xml:6967(para)
+#, fuzzy
+msgid ""
+"Try to calculate an infinite product for a double parameter function with "
+"func(arg,n)."
+msgstr ""
+"Tenta calcular um produto infinito para uma função de dois parâmetros com "
+"func(arg,n)"
+
+#: C/genius.xml:6972(term)
+msgid "<anchor id=\"gel-function-InfiniteSum\"/>InfiniteSum"
+msgstr ""
+
+#: C/genius.xml:6974(synopsis)
+#, no-wrap
+msgid "InfiniteSum (func,start,inc)"
+msgstr ""
+
+#: C/genius.xml:6975(para)
+#, fuzzy
+msgid "Try to calculate an infinite sum for a single parameter function."
+msgstr "Tenta calcular uma soma infinita para uma função de parâmetro único"
+
+#: C/genius.xml:6980(term)
+msgid "<anchor id=\"gel-function-InfiniteSum2\"/>InfiniteSum2"
+msgstr ""
+
+#: C/genius.xml:6982(synopsis)
+#, no-wrap
+msgid "InfiniteSum2 (func,arg,start,inc)"
+msgstr ""
+
+#: C/genius.xml:6983(para)
+#, fuzzy
+msgid ""
+"Try to calculate an infinite sum for a double parameter function with "
+"func(arg,n)."
+msgstr ""
+"Tenta calcular uma soma infinita para uma função de dois parâmetros com "
+"func(arg,n)"
+
+#: C/genius.xml:6988(term)
+msgid "<anchor id=\"gel-function-IsContinuous\"/>IsContinuous"
+msgstr ""
+
+#: C/genius.xml:6990(synopsis)
+#, no-wrap
+msgid "IsContinuous (f,x0)"
+msgstr ""
+
+#: C/genius.xml:6991(para)
+#, fuzzy
+msgid ""
+"Try and see if a real-valued function is continuous at x0 by calculating the "
+"limit there."
+msgstr ""
+"Testa e verifica se uma função com valor real é contínua em x0 calculando o "
+"limite nesse ponto"
+
+#: C/genius.xml:6996(term)
+msgid "<anchor id=\"gel-function-IsDifferentiable\"/>IsDifferentiable"
+msgstr ""
+
+#: C/genius.xml:6998(synopsis)
+#, no-wrap
+msgid "IsDifferentiable (f,x0)"
+msgstr ""
+
+#: C/genius.xml:6999(para)
+#, fuzzy
+msgid ""
+"Test for differentiability by approximating the left and right limits and "
+"comparing."
+msgstr ""
+"Testa a derivabilidade aproximando os limites esquerdo e direito e comparando"
+
+#: C/genius.xml:7004(term)
+msgid "<anchor id=\"gel-function-LeftLimit\"/>LeftLimit"
+msgstr ""
+
+#: C/genius.xml:7006(synopsis)
+#, no-wrap
+msgid "LeftLimit (f,x0)"
+msgstr ""
+
+#: C/genius.xml:7007(para)
+#, fuzzy
+msgid "Calculate the left limit of a real-valued function at x0."
+msgstr "Calcula o limite esquerdo de uma função de valores reais em x0"
+
+#: C/genius.xml:7012(term)
+msgid "<anchor id=\"gel-function-Limit\"/>Limit"
+msgstr ""
+
+#: C/genius.xml:7014(synopsis)
+#, no-wrap
+msgid "Limit (f,x0)"
+msgstr ""
+
+#: C/genius.xml:7015(para)
+#, fuzzy
+msgid ""
+"Calculate the limit of a real-valued function at x0. Tries to calculate both "
+"left and right limits."
+msgstr ""
+"Calcula o limite de uma função com valor real em x0. Tenta calcular os "
+"limites esquerdo e direito."
+
+#: C/genius.xml:7020(term)
+msgid "<anchor id=\"gel-function-MidpointRule\"/>MidpointRule"
+msgstr ""
+
+#: C/genius.xml:7022(synopsis)
+#, no-wrap
+msgid "MidpointRule (f,a,b,n)"
+msgstr ""
+
+#: C/genius.xml:7023(para)
+#, fuzzy
+msgid "Integration by midpoint rule."
+msgstr "Integração pela regra do ponto médio"
+
+#: C/genius.xml:7028(term)
+msgid "<anchor id=\"gel-function-NumericalDerivative\"/>NumericalDerivative"
+msgstr ""
+
+#: C/genius.xml:7030(synopsis)
+#, no-wrap
+msgid "NumericalDerivative (f,x0)"
+msgstr ""
+
+#: C/genius.xml:7031(para)
+msgid "Aliases: <function>NDerivative</function>"
+msgstr ""
+
+#: C/genius.xml:7032(para)
+#, fuzzy
+msgid "Attempt to calculate numerical derivative."
+msgstr "Tenta calcular a derivada numérica"
+
+#: C/genius.xml:7037(term)
+msgid ""
+"<anchor id=\"gel-function-NumericalFourierSeriesCoefficients\"/"
+">NumericalFourierSeriesCoefficients"
+msgstr ""
+
+#: C/genius.xml:7039(synopsis)
+#, no-wrap
+msgid "NumericalFourierSeriesCoefficients (f,L,N)"
+msgstr ""
+
+#: C/genius.xml:7040(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 <link linkend=\"gel-function-NumericalIntegral"
+"\"><function>NumericalIntegral</function></link>."
+msgstr ""
+
+#: C/genius.xml:7058(term)
+msgid ""
+"<anchor id=\"gel-function-NumericalFourierSeriesFunction\"/"
+">NumericalFourierSeriesFunction"
+msgstr ""
+
+#: C/genius.xml:7060(synopsis)
+#, no-wrap
+msgid "NumericalFourierSeriesFunction (f,L,N)"
+msgstr ""
+
+#: C/genius.xml:7061(para)
+msgid ""
+"Return a function that 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 <link linkend=\"gel-function-NumericalIntegral"
+"\"><function>NumericalIntegral</function></link>."
+msgstr ""
+
+#: C/genius.xml:7077(term)
+msgid ""
+"<anchor id=\"gel-function-NumericalFourierCosineSeriesCoefficients\"/"
+">NumericalFourierCosineSeriesCoefficients"
+msgstr ""
+
+#: C/genius.xml:7079(synopsis)
+#, no-wrap
+msgid "NumericalFourierCosineSeriesCoefficients (f,L,N)"
+msgstr ""
+
+#: C/genius.xml:7080(para)
+msgid ""
+"Return a vector of coefficients of 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 <link linkend=\"gel-"
+"function-NumericalIntegral\"><function>NumericalIntegral</function></link>. "
+"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:7092(para) C/genius.xml:7112(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:7101(term)
+msgid ""
+"<anchor id=\"gel-function-NumericalFourierCosineSeriesFunction\"/"
+">NumericalFourierCosineSeriesFunction"
+msgstr ""
+
+#: C/genius.xml:7103(synopsis)
+#, no-wrap
+msgid "NumericalFourierCosineSeriesFunction (f,L,N)"
+msgstr ""
+
+#: C/genius.xml:7104(para)
+msgid ""
+"Return a function that 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 <link linkend=\"gel-"
+"function-NumericalIntegral\"><function>NumericalIntegral</function></link>."
+msgstr ""
+
+#: C/genius.xml:7121(term)
+msgid ""
+"<anchor id=\"gel-function-NumericalFourierSineSeriesCoefficients\"/"
+">NumericalFourierSineSeriesCoefficients"
+msgstr ""
+
+#: C/genius.xml:7123(synopsis)
+#, no-wrap
+msgid "NumericalFourierSineSeriesCoefficients (f,L,N)"
+msgstr ""
+
+#: C/genius.xml:7124(para)
+msgid ""
+"Return a vector of coefficients of 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 <link linkend=\"gel-"
+"function-NumericalIntegral\"><function>NumericalIntegral</function></link>."
+msgstr ""
+
+#: C/genius.xml:7133(para) C/genius.xml:7153(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:7142(term)
+msgid ""
+"<anchor id=\"gel-function-NumericalFourierSineSeriesFunction\"/"
+">NumericalFourierSineSeriesFunction"
+msgstr ""
+
+#: C/genius.xml:7144(synopsis)
+#, no-wrap
+msgid "NumericalFourierSineSeriesFunction (f,L,N)"
+msgstr ""
+
+#: C/genius.xml:7145(para)
+msgid ""
+"Return a function that 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 <link linkend=\"gel-"
+"function-NumericalIntegral\"><function>NumericalIntegral</function></link>."
+msgstr ""
+
+#: C/genius.xml:7162(term)
+#, fuzzy
+msgid "<anchor id=\"gel-function-NumericalIntegral\"/>NumericalIntegral"
+msgstr "A função usada para integração numérica em NumericalIntegral"
+
+#: C/genius.xml:7164(synopsis)
+#, no-wrap
+msgid "NumericalIntegral (f,a,b)"
+msgstr ""
+
+#: C/genius.xml:7165(para)
+#, fuzzy
+msgid ""
+"Integration by rule set in NumericalIntegralFunction of f from a to b using "
+"NumericalIntegralSteps steps."
+msgstr ""
+"Integração pelo conjunto de regras em NumericalIntegralFunction de f de a "
+"até b usando a quantidade de passos definida em NumericalIntegralSteps"
+
+#: C/genius.xml:7170(term)
+msgid ""
+"<anchor id=\"gel-function-NumericalLeftDerivative\"/>NumericalLeftDerivative"
+msgstr ""
+
+#: C/genius.xml:7172(synopsis)
+#, no-wrap
+msgid "NumericalLeftDerivative (f,x0)"
+msgstr ""
+
+#: C/genius.xml:7173(para)
+#, fuzzy
+msgid "Attempt to calculate numerical left derivative."
+msgstr "Tenta calcular a derivada numérica esquerda"
+
+#: C/genius.xml:7178(term)
+msgid ""
+"<anchor id=\"gel-function-NumericalLimitAtInfinity\"/"
+">NumericalLimitAtInfinity"
+msgstr ""
+
+#: C/genius.xml:7180(synopsis)
+#, no-wrap
+msgid "NumericalLimitAtInfinity (_f,step_fun,tolerance,successive_for_success,N)"
+msgstr ""
+
+#: C/genius.xml:7181(para)
+#, fuzzy
+msgid "Attempt to calculate the limit of f(step_fun(i)) as i goes from 1 to N."
+msgstr "Tenta calcular o limite de f(step_fun(i)) com i indo de 1 a N"
+
+#: C/genius.xml:7186(term)
+msgid ""
+"<anchor id=\"gel-function-NumericalRightDerivative\"/"
+">NumericalRightDerivative"
+msgstr ""
+
+#: C/genius.xml:7188(synopsis)
+#, no-wrap
+msgid "NumericalRightDerivative (f,x0)"
+msgstr ""
+
+#: C/genius.xml:7189(para)
+#, fuzzy
+msgid "Attempt to calculate numerical right derivative."
+msgstr "Tenta calcular a derivada numérica direita"
+
+#: C/genius.xml:7194(term)
+msgid "<anchor id=\"gel-function-OddPeriodicExtension\"/>OddPeriodicExtension"
+msgstr ""
+
+#: C/genius.xml:7196(synopsis)
+#, no-wrap
+msgid "OddPeriodicExtension (f,L)"
+msgstr ""
+
+#: C/genius.xml:7197(para)
+msgid ""
+"Return a function that is the 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:7202(para)
+msgid ""
+"See also <link linkend=\"gel-function-EvenPeriodicExtension"
+"\">EvenPeriodicExtension</link> and <link linkend=\"gel-function-"
+"PeriodicExtension\">PeriodicExtension</link>."
+msgstr ""
+
+#: C/genius.xml:7212(term)
+msgid ""
+"<anchor id=\"gel-function-OneSidedFivePointFormula\"/"
+">OneSidedFivePointFormula"
+msgstr ""
+
+#: C/genius.xml:7214(synopsis)
+#, no-wrap
+msgid "OneSidedFivePointFormula (f,x0,h)"
+msgstr ""
+
+#: C/genius.xml:7215(para)
+#, fuzzy
+msgid "Compute one-sided derivative using five point formula."
+msgstr "Calcula a derivada de um lado usando a fórmula de cinco pontos"
+
+#: C/genius.xml:7220(term)
+msgid ""
+"<anchor id=\"gel-function-OneSidedThreePointFormula\"/"
+">OneSidedThreePointFormula"
+msgstr ""
+
+#: C/genius.xml:7222(synopsis)
+#, no-wrap
+msgid "OneSidedThreePointFormula (f,x0,h)"
+msgstr ""
+
+#: C/genius.xml:7223(para)
+#, fuzzy
+msgid "Compute one-sided derivative using three-point formula."
+msgstr "Calcula a derivada de um lado usando a fórmula de três pontos"
+
+#: C/genius.xml:7228(term)
+msgid "<anchor id=\"gel-function-PeriodicExtension\"/>PeriodicExtension"
+msgstr ""
+
+#: C/genius.xml:7230(synopsis)
+#, no-wrap
+msgid "PeriodicExtension (f,a,b)"
+msgstr ""
+
+#: C/genius.xml:7231(para)
+#, fuzzy
+msgid ""
+"Return a function that is the periodic extension of <function>f</function> "
+"defined on the interval <userinput>[a,b]</userinput> and has period "
+"<userinput>b-a</userinput>."
+msgstr ""
+"Devolve uma função que é uma extensão periódica de f definida no intervalo "
+"[a,b]"
+
+#: C/genius.xml:7234(para)
+msgid ""
+"See also <link linkend=\"gel-function-OddPeriodicExtension"
+"\">OddPeriodicExtension</link> and <link linkend=\"gel-function-"
+"EvenPeriodicExtension\">EvenPeriodicExtension</link>."
+msgstr ""
+
+#: C/genius.xml:7244(term)
+msgid "<anchor id=\"gel-function-RightLimit\"/>RightLimit"
+msgstr ""
+
+#: C/genius.xml:7246(synopsis)
+#, no-wrap
+msgid "RightLimit (f,x0)"
+msgstr ""
+
+#: C/genius.xml:7247(para)
+#, fuzzy
+msgid "Calculate the right limit of a real-valued function at x0."
+msgstr "Calcula o limite direito de uma função com valor real em x0"
+
+#: C/genius.xml:7252(term)
+msgid ""
+"<anchor id=\"gel-function-TwoSidedFivePointFormula\"/"
+">TwoSidedFivePointFormula"
+msgstr ""
+
+#: C/genius.xml:7254(synopsis)
+#, no-wrap
+msgid "TwoSidedFivePointFormula (f,x0,h)"
+msgstr ""
+
+#: C/genius.xml:7255(para)
+#, fuzzy
+msgid "Compute two-sided derivative using five-point formula."
+msgstr "Calcula a derivada de dois lados usando a fórmula de cinco pontos"
+
+#: C/genius.xml:7260(term)
+msgid ""
+"<anchor id=\"gel-function-TwoSidedThreePointFormula\"/"
+">TwoSidedThreePointFormula"
+msgstr ""
+
+#: C/genius.xml:7262(synopsis)
+#, no-wrap
+msgid "TwoSidedThreePointFormula (f,x0,h)"
+msgstr ""
+
+#: C/genius.xml:7263(para)
+#, fuzzy
+msgid "Compute two-sided derivative using three-point formula."
+msgstr "Calcula a derivada de dois lados usando a fórmula de três pontos"
+
+#: C/genius.xml:7271(title)
+msgid "Functions"
+msgstr "Funções"
+
+#: C/genius.xml:7274(term)
+msgid "<anchor id=\"gel-function-Argument\"/>Argument"
+msgstr ""
+
+#: C/genius.xml:7276(synopsis)
+#, no-wrap
+msgid "Argument (z)"
+msgstr ""
+
+#: C/genius.xml:7277(para)
+msgid "Aliases: <function>Arg</function><function>arg</function>"
+msgstr ""
+
+#: C/genius.xml:7278(para)
+#, fuzzy
+msgid "argument (angle) of complex number."
+msgstr "argumento (ângulo) de um número complexo"
+
+#: C/genius.xml:7283(term)
+msgid "<anchor id=\"gel-function-BesselJ0\"/>BesselJ0"
+msgstr ""
+
+#: C/genius.xml:7285(synopsis)
+#, no-wrap
+msgid "BesselJ0 (x)"
+msgstr ""
+
+#: C/genius.xml:7286(para)
+#, fuzzy
+msgid ""
+"Bessel function of the first kind of order 0. Only implemented for real "
+"numbers."
+msgstr ""
+"%s: As funções de Bessel de segunda espécie não foram definidas por números "
+"reais não positivos"
+
+#: C/genius.xml:7287(para) C/genius.xml:7299(para) C/genius.xml:7311(para)
+#: C/genius.xml:7323(para) C/genius.xml:7335(para) C/genius.xml:7347(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Bessel_functions\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:7295(term)
+msgid "<anchor id=\"gel-function-BesselJ1\"/>BesselJ1"
+msgstr ""
+
+#: C/genius.xml:7297(synopsis)
+#, no-wrap
+msgid "BesselJ1 (x)"
+msgstr ""
+
+#: C/genius.xml:7298(para)
+#, fuzzy
+msgid ""
+"Bessel function of the first kind of order 1. Only implemented for real "
+"numbers."
+msgstr ""
+"%s: As funções de Bessel de segunda espécie não foram definidas por números "
+"reais não positivos"
+
+#: C/genius.xml:7307(term)
+msgid "<anchor id=\"gel-function-BesselJn\"/>BesselJn"
+msgstr ""
+
+#: C/genius.xml:7309(synopsis)
+#, no-wrap
+msgid "BesselJn (n,x)"
+msgstr ""
+
+#: C/genius.xml:7310(para)
+msgid ""
+"Bessel function of the first kind of order <varname>n</varname>. Only "
+"implemented for real numbers."
+msgstr ""
+
+#: C/genius.xml:7319(term)
+msgid "<anchor id=\"gel-function-BesselY0\"/>BesselY0"
+msgstr ""
+
+#: C/genius.xml:7321(synopsis)
+#, no-wrap
+msgid "BesselY0 (x)"
+msgstr ""
+
+#: C/genius.xml:7322(para)
+#, fuzzy
+msgid ""
+"Bessel function of the second kind of order 0. Only implemented for real "
+"numbers."
+msgstr ""
+"%s: As funções de Bessel de segunda espécie não foram definidas por números "
+"reais não positivos"
+
+#: C/genius.xml:7331(term)
+msgid "<anchor id=\"gel-function-BesselY1\"/>BesselY1"
+msgstr ""
+
+#: C/genius.xml:7333(synopsis)
+#, no-wrap
+msgid "BesselY1 (x)"
+msgstr ""
+
+#: C/genius.xml:7334(para)
+#, fuzzy
+msgid ""
+"Bessel function of the second kind of order 1. Only implemented for real "
+"numbers."
+msgstr ""
+"%s: As funções de Bessel de segunda espécie não foram definidas por números "
+"reais não positivos"
+
+#: C/genius.xml:7343(term)
+msgid "<anchor id=\"gel-function-BesselYn\"/>BesselYn"
+msgstr ""
+
+#: C/genius.xml:7345(synopsis)
+#, no-wrap
+msgid "BesselYn (n,x)"
+msgstr ""
+
+#: C/genius.xml:7346(para)
+#, fuzzy
+msgid ""
+"Bessel function of the second kind of order <varname>n</varname>. Only "
+"implemented for real numbers."
+msgstr ""
+"%s: As funções de Bessel de segunda espécie não foram definidas por números "
+"reais não positivos"
+
+#: C/genius.xml:7355(term)
+msgid "<anchor id=\"gel-function-DirichletKernel\"/>DirichletKernel"
+msgstr ""
+
+#: C/genius.xml:7357(synopsis)
+#, fuzzy, no-wrap
+msgid "DirichletKernel (n,t)"
+msgstr "Núcleo de Dirichlet de ordem n"
+
+#: C/genius.xml:7358(para)
+#, fuzzy
+msgid "Dirichlet kernel of order n."
+msgstr "Núcleo de Dirichlet de ordem n"
+
+#: C/genius.xml:7363(term)
+msgid "<anchor id=\"gel-function-DiscreteDelta\"/>DiscreteDelta"
+msgstr ""
+
+#: C/genius.xml:7365(synopsis)
+#, no-wrap
+msgid "DiscreteDelta (v)"
+msgstr ""
+
+#: C/genius.xml:7366(para)
+#, fuzzy
+msgid "Returns 1 if and only if all elements are zero."
+msgstr "Devolve 1 se, e somente se, todos os elementos forem zero"
+
+#: C/genius.xml:7371(term)
+msgid "<anchor id=\"gel-function-ErrorFunction\"/>ErrorFunction"
+msgstr ""
+
+#: C/genius.xml:7373(synopsis)
+#, fuzzy, no-wrap
+msgid "ErrorFunction (x)"
+msgstr "Função"
+
+#: C/genius.xml:7374(para)
+msgid "Aliases: <function>erf</function>"
+msgstr ""
+
+#: C/genius.xml:7375(para)
+#, fuzzy
+msgid "The error function, 2/sqrt(pi) * int_0^x e^(-t^2) dt."
+msgstr "A função do error, 2/sqrt(pi) * int_0^x e^(-t^2) dt"
+
+#: C/genius.xml:7376(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/ErrorFunction.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:7384(term)
+msgid "<anchor id=\"gel-function-FejerKernel\"/>FejerKernel"
+msgstr ""
+
+#: C/genius.xml:7386(synopsis)
+#, fuzzy, no-wrap
+msgid "FejerKernel (n,t)"
+msgstr "Núcleo de Fejer de ordem n"
+
+#: C/genius.xml:7387(para)
+msgid ""
+"Fejer kernel of order <varname>n</varname> evaluated at <varname>t</varname>"
+msgstr ""
+
+#: C/genius.xml:7389(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/FejerKernel.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:7397(term)
+msgid "<anchor id=\"gel-function-GammaFunction\"/>GammaFunction"
+msgstr ""
+
+#: C/genius.xml:7399(synopsis)
+#, fuzzy, no-wrap
+msgid "GammaFunction (x)"
+msgstr "Função"
+
+#: C/genius.xml:7400(para)
+msgid "Aliases: <function>Gamma</function>"
+msgstr ""
+
+#: C/genius.xml:7401(para)
+#, fuzzy
+msgid "The Gamma function. Currently only implemented for real values."
+msgstr "A função Gamma (somente valores reais implementados)"
+
+#: C/genius.xml:7402(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/GammaFunction.html";
+"\">Planetmath</ulink> or <ulink url=\"http://en.wikipedia.org/wiki/";
+"Gamma_function\">Wikipedia</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:7411(term)
+msgid "<anchor id=\"gel-function-KroneckerDelta\"/>KroneckerDelta"
+msgstr ""
+
+#: C/genius.xml:7413(synopsis)
+#, no-wrap
+msgid "KroneckerDelta (v)"
+msgstr ""
+
+#: C/genius.xml:7414(para)
+#, fuzzy
+msgid "Returns 1 if and only if all elements are equal."
+msgstr "Devolve se, e somente se, todos os elementos forem iguais"
+
+#: C/genius.xml:7419(term)
+msgid "<anchor id=\"gel-function-LambertW\"/>LambertW"
+msgstr ""
+
+#: C/genius.xml:7421(synopsis)
+#, no-wrap
+msgid "LambertW (x)"
+msgstr ""
+
+#: C/genius.xml:7422(para)
+msgid ""
+"The principal branch of Lambert W function computed for only real values "
+"greater than or equal to <userinput>-1/e</userinput>. That is, "
+"<function>LambertW</function> is the inverse of the expression "
+"<userinput>x*e^x</userinput>. Even for real <varname>x</varname> this "
+"expression is not one to one and therefore has two branches over "
+"<userinput>[-1/e,0)</userinput>. See <link linkend=\"gel-function-"
+"LambertWm1\"><function>LambertWm1</function></link> for the other real "
+"branch."
+msgstr ""
+
+#: C/genius.xml:7431(para) C/genius.xml:7450(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Lambert_W_function";
+"\">Wikipedia</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:7439(term)
+msgid "<anchor id=\"gel-function-LambertWm1\"/>LambertWm1"
+msgstr ""
+
+#: C/genius.xml:7441(synopsis)
+#, no-wrap
+msgid "LambertWm1 (x)"
+msgstr ""
+
+#: C/genius.xml:7442(para)
+msgid ""
+"The minus-one branch of Lambert W function computed for only real values "
+"greater than or equal to <userinput>-1/e</userinput> and less than 0. That "
+"is, <function>LambertWm1</function> is the second branch of the inverse of "
+"<userinput>x*e^x</userinput>. See <link linkend=\"gel-function-LambertW"
+"\"><function>LambertW</function></link> for the principal branch."
+msgstr ""
+
+#: C/genius.xml:7458(term)
+msgid "<anchor id=\"gel-function-MinimizeFunction\"/>MinimizeFunction"
+msgstr ""
+
+#: C/genius.xml:7460(synopsis)
+#, no-wrap
+msgid "MinimizeFunction (func,x,incr)"
+msgstr ""
+
+#: C/genius.xml:7461(para)
+#, fuzzy
+msgid "Find the first value where f(x)=0."
+msgstr "Encontra o primeiro valor onde f(x)=0"
+
+#: C/genius.xml:7466(term)
+msgid "<anchor id=\"gel-function-MoebiusDiskMapping\"/>MoebiusDiskMapping"
+msgstr ""
+
+#: C/genius.xml:7468(synopsis)
+#, no-wrap
+msgid "MoebiusDiskMapping (a,z)"
+msgstr ""
+
+#: C/genius.xml:7469(para)
+#, fuzzy
+msgid "Moebius mapping of the disk to itself mapping a to 0."
+msgstr "Mapeamento de Moebius do disco para si mesmo mapeando a para 0"
+
+#: C/genius.xml:7470(para) C/genius.xml:7482(para) C/genius.xml:7494(para)
+#: C/genius.xml:7506(para) C/genius.xml:7518(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/MobiusTransformation.html";
+"\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:7478(term)
+msgid "<anchor id=\"gel-function-MoebiusMapping\"/>MoebiusMapping"
+msgstr ""
+
+#: C/genius.xml:7480(synopsis)
+#, no-wrap
+msgid "MoebiusMapping (z,z2,z3,z4)"
+msgstr ""
+
+#: C/genius.xml:7481(para)
+#, fuzzy
+msgid ""
+"Moebius mapping using the cross ratio taking z2,z3,z4 to 1,0, and infinity "
+"respectively."
+msgstr ""
+"Mapeamento de Moebius usando a taxa cruzada tomando z2,z3,z4 como 1,0, e "
+"infinito respectivamente"
+
+#: C/genius.xml:7490(term)
+msgid ""
+"<anchor id=\"gel-function-MoebiusMappingInftyToInfty\"/"
+">MoebiusMappingInftyToInfty"
+msgstr ""
+
+#: C/genius.xml:7492(synopsis)
+#, no-wrap
+msgid "MoebiusMappingInftyToInfty (z,z2,z3)"
+msgstr ""
+
+#: C/genius.xml:7493(para)
+#, fuzzy
+msgid ""
+"Moebius mapping using the cross ratio taking infinity to infinity and z2,z3 "
+"to 1 and 0 respectively."
+msgstr ""
+"Mapeamento de Moebius usando a taxa cruzada tomando infinito como infinito e "
+"z2,z3 como 1 e 0 respectivamente"
+
+#: C/genius.xml:7502(term)
+msgid ""
+"<anchor id=\"gel-function-MoebiusMappingInftyToOne\"/"
+">MoebiusMappingInftyToOne"
+msgstr ""
+
+#: C/genius.xml:7504(synopsis)
+#, no-wrap
+msgid "MoebiusMappingInftyToOne (z,z3,z4)"
+msgstr ""
+
+#: C/genius.xml:7505(para)
+#, fuzzy
+msgid ""
+"Moebius mapping using the cross ratio taking infinity to 1 and z3,z4 to 0 "
+"and infinity respectively."
+msgstr ""
+"Mapeamento de Moebius usando a taxa cruzada tomando infinito como 1 e z3,z4 "
+"como 0 e infinito respectivamente"
+
+#: C/genius.xml:7514(term)
+msgid ""
+"<anchor id=\"gel-function-MoebiusMappingInftyToZero\"/"
+">MoebiusMappingInftyToZero"
+msgstr ""
+
+#: C/genius.xml:7516(synopsis)
+#, no-wrap
+msgid "MoebiusMappingInftyToZero (z,z2,z4)"
+msgstr ""
+
+#: C/genius.xml:7517(para)
+#, fuzzy
+msgid ""
+"Moebius mapping using the cross ratio taking infinity to 0 and z2,z4 to 1 "
+"and infinity respectively."
+msgstr ""
+"Mapeamento de Moebius usando a taxa cruzada tomando infinito como 0 e z2,z4 "
+"como 1 e infinito respectivamente"
+
+#: C/genius.xml:7526(term)
+msgid "<anchor id=\"gel-function-PoissonKernel\"/>PoissonKernel"
+msgstr ""
+
+#: C/genius.xml:7528(synopsis)
+#, no-wrap
+msgid "PoissonKernel (r,sigma)"
+msgstr ""
+
+#: C/genius.xml:7529(para)
+#, fuzzy
+msgid ""
+"Poisson kernel on D(0,1) (not normalized to 1, that is integral of this is "
+"2pi)."
+msgstr ""
+"Núcleo de Poisson em D(0,1) (não normalizado em 1, isto é, a integral disto "
+"é 2pi)"
+
+#: C/genius.xml:7534(term)
+msgid "<anchor id=\"gel-function-PoissonKernelRadius\"/>PoissonKernelRadius"
+msgstr ""
+
+#: C/genius.xml:7536(synopsis)
+#, no-wrap
+msgid "PoissonKernelRadius (r,sigma)"
+msgstr ""
+
+#: C/genius.xml:7537(para)
+#, fuzzy
+msgid "Poisson kernel on D(0,R) (not normalized to 1)."
+msgstr "Núcleo de Poisson em D(0,R) (não normalizado em 1)"
+
+#: C/genius.xml:7542(term)
+msgid "<anchor id=\"gel-function-RiemannZeta\"/>RiemannZeta"
+msgstr ""
+
+#: C/genius.xml:7544(synopsis)
+#, no-wrap
+msgid "RiemannZeta (x)"
+msgstr ""
+
+#: C/genius.xml:7545(para)
+msgid "Aliases: <function>zeta</function>"
+msgstr ""
+
+#: C/genius.xml:7546(para)
+#, fuzzy
+msgid "The Riemann zeta function. Currently only implemented for real values."
+msgstr "A função zeta de Riemann (somente valores reais implementados)"
+
+#: C/genius.xml:7547(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/RiemannZetaFunction.html";
+"\">Planetmath</ulink> or <ulink url=\"http://en.wikipedia.org/wiki/";
+"Riemann_zeta_function\">Wikipedia</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:7556(term)
+msgid "<anchor id=\"gel-function-UnitStep\"/>UnitStep"
+msgstr ""
+
+#: C/genius.xml:7558(synopsis)
+#, no-wrap
+msgid "UnitStep (x)"
+msgstr ""
+
+#: C/genius.xml:7559(para)
+#, fuzzy
+msgid ""
+"The unit step function is 0 for x&lt;0, 1 otherwise. This is the integral of "
+"the Dirac Delta function. Also called the Heaviside function."
+msgstr ""
+"A função de passo unitário, 0 para x<0, e 1 caso contrário. Essa é a "
+"integral da função Delta de Dirac."
+
+#: C/genius.xml:7560(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Unit_step\";>Wikipedia</ulink> "
+"for more information."
+msgstr ""
+
+#: C/genius.xml:7568(term)
+msgid "<anchor id=\"gel-function-cis\"/>cis"
+msgstr ""
+
+#: C/genius.xml:7570(synopsis)
+#, no-wrap
+msgid "cis (x)"
+msgstr ""
+
+#: C/genius.xml:7571(para)
+msgid ""
+"The <function>cis</function> function, that is the same as "
+"<userinput>cos(x)+1i*sin(x)</userinput>"
+msgstr ""
+
+#: C/genius.xml:7579(term)
+msgid "<anchor id=\"gel-function-deg2rad\"/>deg2rad"
+msgstr ""
+
+#: C/genius.xml:7581(synopsis)
+#, no-wrap
+msgid "deg2rad (x)"
+msgstr ""
+
+#: C/genius.xml:7582(para)
+#, fuzzy
+msgid "Convert degrees to radians."
+msgstr "Converte graus para radianos"
+
+#: C/genius.xml:7587(term)
+msgid "<anchor id=\"gel-function-rad2deg\"/>rad2deg"
+msgstr ""
+
+#: C/genius.xml:7589(synopsis)
+#, no-wrap
+msgid "rad2deg (x)"
+msgstr ""
+
+#: C/genius.xml:7590(para)
+#, fuzzy
+msgid "Convert radians to degrees."
+msgstr "Converte radianos para graus"
+
+#: C/genius.xml:7595(term)
+msgid "<anchor id=\"gel-function-sinc\"/>sinc"
+msgstr ""
+
+#: C/genius.xml:7597(synopsis)
+#, no-wrap
+msgid "sinc (x)"
+msgstr ""
+
+#: C/genius.xml:7598(para)
+msgid ""
+"Calculates the unnormalized sinc function, that is <userinput>sin(x)/x</"
+"userinput>. If you want the normalized function call <userinput>sinc(pi*x)</"
+"userinput>."
+msgstr ""
+
+#: C/genius.xml:7601(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Sinc\";>Wikipedia</ulink> for "
+"more information."
+msgstr ""
+
+#: C/genius.xml:7612(title)
+msgid "Equation Solving"
+msgstr "Solução de equações"
+
+#: C/genius.xml:7616(term)
+msgid "<anchor id=\"gel-function-CubicFormula\"/>CubicFormula"
+msgstr ""
+
+#: C/genius.xml:7618(synopsis)
+#, no-wrap
+msgid "CubicFormula (p)"
+msgstr ""
+
+#: C/genius.xml:7619(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:7628(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:7638(term)
+msgid "<anchor id=\"gel-function-EulersMethod\"/>EulersMethod"
+msgstr ""
+
+#: C/genius.xml:7640(synopsis)
+#, no-wrap
+msgid "EulersMethod (f,x0,y0,x1,n)"
+msgstr ""
+
+#: C/genius.xml:7641(para)
+#, fuzzy
+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 ""
+"Usa o método clássico de Euler para resolver numericamente y'=f(x,y) para x0,"
+"y0 inicial indo para x1 com n incrementos, retorna y em x1"
+
+#: C/genius.xml:7647(para) C/genius.xml:7675(para) C/genius.xml:7835(para)
+#: C/genius.xml:7865(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:7654(para) C/genius.xml:7682(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:7663(term)
+msgid "<anchor id=\"gel-function-EulersMethodFull\"/>EulersMethodFull"
+msgstr ""
+
+#: C/genius.xml:7665(synopsis)
+#, no-wrap
+msgid "EulersMethodFull (f,x0,y0,x1,n)"
+msgstr ""
+
+#: C/genius.xml:7666(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:7691(term)
+msgid "<anchor id=\"gel-function-FindRootBisection\"/>FindRootBisection"
+msgstr ""
+
+#: C/genius.xml:7693(synopsis)
+#, no-wrap
+msgid "FindRootBisection (f,a,b,TOL,N)"
+msgstr ""
+
+#: C/genius.xml:7694(para)
+msgid ""
+"Find root of a function using the bisection method. <varname>a</varname> and "
+"<varname>b</varname> are the initial guess interval, <userinput>f(a)</"
+"userinput> and <userinput>f(b)</userinput> should have opposite signs. "
+"<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:7703(term)
+msgid ""
+"<anchor id=\"gel-function-FindRootFalsePosition\"/>FindRootFalsePosition"
+msgstr ""
+
+#: C/genius.xml:7705(synopsis)
+#, no-wrap
+msgid "FindRootFalsePosition (f,a,b,TOL,N)"
+msgstr ""
+
+#: C/genius.xml:7706(para)
+msgid ""
+"Find root of a function using the method of false position. <varname>a</"
+"varname> and <varname>b</varname> are the initial guess interval, "
+"<userinput>f(a)</userinput> and <userinput>f(b)</userinput> should have "
+"opposite signs. <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:7715(term)
+msgid ""
+"<anchor id=\"gel-function-FindRootMullersMethod\"/>FindRootMullersMethod"
+msgstr ""
+
+#: C/genius.xml:7717(synopsis)
+#, no-wrap
+msgid "FindRootMullersMethod (f,x0,x1,x2,TOL,N)"
+msgstr ""
+
+#: C/genius.xml:7718(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:7725(term)
+msgid "<anchor id=\"gel-function-FindRootSecant\"/>FindRootSecant"
+msgstr ""
+
+#: C/genius.xml:7727(synopsis)
+#, no-wrap
+msgid "FindRootSecant (f,a,b,TOL,N)"
+msgstr ""
+
+#: C/genius.xml:7728(para)
+msgid ""
+"Find root of a function using the secant method. <varname>a</varname> and "
+"<varname>b</varname> are the initial guess interval, <userinput>f(a)</"
+"userinput> and <userinput>f(b)</userinput> should have opposite signs. "
+"<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:7737(term)
+msgid "<anchor id=\"gel-function-NewtonsMethod\"/>NewtonsMethod"
+msgstr ""
+
+#: C/genius.xml:7739(synopsis)
+#, no-wrap
+msgid "NewtonsMethod (f,df,guess,epsilon,maxn)"
+msgstr ""
+
+#: C/genius.xml:7740(para)
+msgid ""
+"Find zeros using Newton's method. <varname>f</varname> is the function and "
+"<varname>df</varname> is the derivative of <varname>f</varname>. "
+"<varname>guess</varname> is the initial guess. The function returns after "
+"two successive values are within <varname>epsilon</varname> of each other, "
+"or after <varname>maxn</varname> tries, in which case the function returns "
+"<constant>null</constant> indicating failure."
+msgstr ""
+
+#: C/genius.xml:7746(para)
+msgid ""
+"See also <link linkend=\"gel-function-NewtonsMethodPoly"
+"\"><function>NewtonsMethodPoly</function></link> and <link linkend=\"gel-"
+"function-SymbolicDerivative\"><function>SymbolicDerivative</function></link>."
+msgstr ""
+
+#: C/genius.xml:7749(para)
+msgid ""
+"Example to find the square root of 10: <screen><prompt>genius&gt;</prompt> "
+"<userinput>NewtonsMethod(`(x)=x^2-10,`(x)=2*x,3,10^-10,100)</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:7754(para) C/genius.xml:8063(para)
+msgid ""
+"See <ulink url=\"http://en.wikipedia.org/wiki/Newtons_method\";>Wikipedia</"
+"ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:7762(term)
+msgid "<anchor id=\"gel-function-PolynomialRoots\"/>PolynomialRoots"
+msgstr ""
+
+#: C/genius.xml:7764(synopsis)
+#, fuzzy, no-wrap
+msgid "PolynomialRoots (p)"
+msgstr "Polinômios"
+
+#: C/genius.xml:7765(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:7774(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:7784(term)
+msgid "<anchor id=\"gel-function-QuadraticFormula\"/>QuadraticFormula"
+msgstr ""
+
+#: C/genius.xml:7786(synopsis)
+#, no-wrap
+msgid "QuadraticFormula (p)"
+msgstr ""
+
+#: C/genius.xml:7787(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:7795(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:7804(term)
+msgid "<anchor id=\"gel-function-QuarticFormula\"/>QuarticFormula"
+msgstr ""
+
+#: C/genius.xml:7806(synopsis)
+#, no-wrap
+msgid "QuarticFormula (p)"
+msgstr ""
+
+#: C/genius.xml:7807(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:7815(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:7825(term)
+msgid "<anchor id=\"gel-function-RungeKutta\"/>RungeKutta"
+msgstr ""
+
+#: C/genius.xml:7827(synopsis)
+#, no-wrap
+msgid "RungeKutta (f,x0,y0,x1,n)"
+msgstr ""
+
+#: C/genius.xml:7828(para)
+#, fuzzy
+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 ""
+"Usa o método clássico não-adaptativo Runge-Kutta de quarta ordem para "
+"resolver numericamente y'=f(x,y) para x0,y0 inicial indo para x1 com n "
+"incrementos, retorna y em x1"
+
+#: C/genius.xml:7842(para) C/genius.xml:7872(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:7851(term)
+msgid "<anchor id=\"gel-function-RungeKuttaFull\"/>RungeKuttaFull"
+msgstr ""
+
+#: C/genius.xml:7853(synopsis)
+#, no-wrap
+msgid "RungeKuttaFull (f,x0,y0,x1,n)"
+msgstr ""
+
+#: C/genius.xml:7854(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:7885(title)
+msgid "Statistics"
+msgstr "Estatística"
+
+#: C/genius.xml:7888(term)
+msgid "<anchor id=\"gel-function-Average\"/>Average"
+msgstr ""
+
+#: C/genius.xml:7890(synopsis)
+#, no-wrap
+msgid "Average (m)"
+msgstr ""
+
+#: C/genius.xml:7891(para)
+msgid ""
+"Aliases: <function>average</function><function>Mean</"
+"function><function>mean</function>"
+msgstr ""
+
+#: C/genius.xml:7892(para)
+#, fuzzy
+msgid "Calculate average of an entire matrix."
+msgstr "Calcula a média de uma matriz inteira"
+
+#: C/genius.xml:7893(para) C/genius.xml:7953(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/ArithmeticMean.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:7901(term)
+msgid "<anchor id=\"gel-function-GaussDistribution\"/>GaussDistribution"
+msgstr ""
+
+#: C/genius.xml:7903(synopsis)
+#, no-wrap
+msgid "GaussDistribution (x,sigma)"
+msgstr ""
+
+#: C/genius.xml:7904(para)
+#, fuzzy
+msgid ""
+"Integral of the GaussFunction from 0 to <varname>x</varname> (area under the "
+"normal curve)."
+msgstr "Integral da Função de Gauss de 0 a x (área sob a curva normal)"
+
+#: C/genius.xml:7905(para) C/genius.xml:7917(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/NormalDistribution.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:7913(term)
+msgid "<anchor id=\"gel-function-GaussFunction\"/>GaussFunction"
+msgstr ""
+
+#: C/genius.xml:7915(synopsis)
+#, no-wrap
+msgid "GaussFunction (x,sigma)"
+msgstr ""
+
+#: C/genius.xml:7916(para)
+#, fuzzy
+msgid "The normalized Gauss distribution function (the normal curve)."
+msgstr "A função normalizada da distribuição de Gauss (a curva normal)"
+
+#: C/genius.xml:7926(term)
+msgid "<anchor id=\"gel-function-Median\"/>Median"
+msgstr ""
+
+#: C/genius.xml:7928(synopsis)
+#, no-wrap
+msgid "Median (m)"
+msgstr ""
+
+#: C/genius.xml:7929(para)
+msgid "Aliases: <function>median</function>"
+msgstr ""
+
+#: C/genius.xml:7930(para)
+#, fuzzy
+msgid "Calculate median of an entire matrix."
+msgstr "Calcula a mediana de uma matriz inteira"
+
+#: C/genius.xml:7931(para) C/genius.xml:7966(para)
+msgid ""
+"See <ulink url=\"http://mathworld.wolfram.com/StatisticalMedian.html";
+"\">Mathworld</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:7939(term)
+msgid ""
+"<anchor id=\"gel-function-PopulationStandardDeviation\"/"
+">PopulationStandardDeviation"
+msgstr ""
+
+#: C/genius.xml:7941(synopsis)
+#, no-wrap
+msgid "PopulationStandardDeviation (m)"
+msgstr ""
+
+#: C/genius.xml:7942(para)
+msgid "Aliases: <function>stdevp</function>"
+msgstr ""
+
+#: C/genius.xml:7943(para)
+#, fuzzy
+msgid "Calculate the population standard deviation of a whole matrix."
+msgstr "Calcula o desvio padrão da população de uma matriz inteira"
+
+#: C/genius.xml:7948(term)
+msgid "<anchor id=\"gel-function-RowAverage\"/>RowAverage"
+msgstr ""
+
+#: C/genius.xml:7950(synopsis)
+#, no-wrap
+msgid "RowAverage (m)"
+msgstr ""
+
+#: C/genius.xml:7951(para)
+msgid "Aliases: <function>RowMean</function>"
+msgstr ""
+
+#: C/genius.xml:7952(para)
+#, fuzzy
+msgid "Calculate average of each row in a matrix."
+msgstr "Calcula a média de cada linha em uma matriz"
+
+#: C/genius.xml:7961(term)
+msgid "<anchor id=\"gel-function-RowMedian\"/>RowMedian"
+msgstr ""
+
+#: C/genius.xml:7963(synopsis)
+#, no-wrap
+msgid "RowMedian (m)"
+msgstr ""
+
+#: C/genius.xml:7964(para)
+#, fuzzy
+msgid ""
+"Calculate median of each row in a matrix and return a column vector of the "
+"medians."
+msgstr ""
+"Calcula os desvios padrão de linhas de uma matriz e retorna um vetor coluna"
+
+#: C/genius.xml:7974(term)
+msgid ""
+"<anchor id=\"gel-function-RowPopulationStandardDeviation\"/"
+">RowPopulationStandardDeviation"
+msgstr ""
+
+#: C/genius.xml:7976(synopsis)
+#, no-wrap
+msgid "RowPopulationStandardDeviation (m)"
+msgstr ""
+
+#: C/genius.xml:7977(para)
+msgid "Aliases: <function>rowstdevp</function>"
+msgstr ""
+
+#: C/genius.xml:7978(para)
+#, fuzzy
+msgid ""
+"Calculate the population standard deviations of rows of a matrix and return "
+"a vertical vector."
+msgstr ""
+"Calcula os desvios padrão da população das linhas de uma matriz e retorna um "
+"vetor coluna"
+
+#: C/genius.xml:7983(term)
+msgid "<anchor id=\"gel-function-RowStandardDeviation\"/>RowStandardDeviation"
+msgstr ""
+
+#: C/genius.xml:7985(synopsis)
+#, no-wrap
+msgid "RowStandardDeviation (m)"
+msgstr ""
+
+#: C/genius.xml:7986(para)
+msgid "Aliases: <function>rowstdev</function>"
+msgstr ""
+
+#: C/genius.xml:7987(para)
+#, fuzzy
+msgid ""
+"Calculate the standard deviations of rows of a matrix and return a vertical "
+"vector."
+msgstr ""
+"Calcula os desvios padrão de linhas de uma matriz e retorna um vetor coluna"
+
+#: C/genius.xml:7992(term)
+msgid "<anchor id=\"gel-function-StandardDeviation\"/>StandardDeviation"
+msgstr ""
+
+#: C/genius.xml:7994(synopsis)
+#, no-wrap
+msgid "StandardDeviation (m)"
+msgstr ""
+
+#: C/genius.xml:7995(para)
+msgid "Aliases: <function>stdev</function>"
+msgstr ""
+
+#: C/genius.xml:7996(para)
+#, fuzzy
+msgid "Calculate the standard deviation of a whole matrix."
+msgstr "Calcula o desvio padrão de uma matriz inteira"
+
+#: C/genius.xml:8004(title)
+msgid "Polynomials"
+msgstr "Polinômios"
+
+#: C/genius.xml:8007(term)
+msgid "<anchor id=\"gel-function-AddPoly\"/>AddPoly"
+msgstr ""
+
+#: C/genius.xml:8009(synopsis)
+#, no-wrap
+msgid "AddPoly (p1,p2)"
+msgstr ""
+
+#: C/genius.xml:8010(para)
+#, fuzzy
+msgid "Add two polynomials (vectors)."
+msgstr "Adiciona dois polinômios (vetores)"
+
+#: C/genius.xml:8015(term)
+msgid "<anchor id=\"gel-function-DividePoly\"/>DividePoly"
+msgstr ""
+
+#: C/genius.xml:8017(synopsis)
+#, no-wrap
+msgid "DividePoly (p,q,&amp;r)"
+msgstr ""
+
+#: C/genius.xml:8018(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:8023(para)
+msgid ""
+"See <ulink url=\"http://planetmath.org/encyclopedia/PolynomialLongDivision.";
+"html\">Planetmath</ulink> for more information."
+msgstr ""
+
+#: C/genius.xml:8031(term)
+msgid "<anchor id=\"gel-function-IsPoly\"/>IsPoly"
+msgstr ""
+
+#: C/genius.xml:8033(synopsis)
+#, no-wrap
+msgid "IsPoly (p)"
+msgstr ""
+
+#: C/genius.xml:8034(para)
+#, fuzzy
+msgid "Check if a vector is usable as a polynomial."
+msgstr "Verifica se um vetor pode ser utilizado como um polinômio"
+
+#: C/genius.xml:8039(term)
+msgid "<anchor id=\"gel-function-MultiplyPoly\"/>MultiplyPoly"
+msgstr ""
+
+#: C/genius.xml:8041(synopsis)
+#, no-wrap
+msgid "MultiplyPoly (p1,p2)"
+msgstr ""
+
+#: C/genius.xml:8042(para)
+#, fuzzy
+msgid "Multiply two polynomials (as vectors)."
+msgstr "Multiplica dois polinômios (como vetores)"
+
+#: C/genius.xml:8047(term)
+msgid "<anchor id=\"gel-function-NewtonsMethodPoly\"/>NewtonsMethodPoly"
+msgstr ""
+
+#: C/genius.xml:8049(synopsis)
+#, no-wrap
+msgid "NewtonsMethodPoly (poly,guess,epsilon,maxn)"
+msgstr ""
+
+#: C/genius.xml:8050(para)
+msgid ""
+"Find a root of a polynomial using Newton's method. <varname>poly</varname> "
+"is the polynomial as a vector and <varname>guess</varname> is the initial "
+"guess. The function returns after two successive values are within "
+"<varname>epsilon</varname> of each other, or after <varname>maxn</varname> "
+"tries, in which case the function returns <constant>null</constant> "
+"indicating failure."
+msgstr ""
+
+#: C/genius.xml:8055(para)
+msgid ""
+"See also <link linkend=\"gel-function-NewtonsMethod"
+"\"><function>NewtonsMethod</function></link>."
+msgstr ""
+
+#: C/genius.xml:8058(para)
+msgid ""
+"Example to find the square root of 10: <screen><prompt>genius&gt;</prompt> "
+"<userinput>NewtonsMethodPoly([-10,0,1],3,10^-10,100)</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:8071(term)
+msgid "<anchor id=\"gel-function-Poly2ndDerivative\"/>Poly2ndDerivative"
+msgstr ""
+
+#: C/genius.xml:8073(synopsis)
+#, no-wrap
+msgid "Poly2ndDerivative (p)"
+msgstr ""
+
+#: C/genius.xml:8074(para)
+#, fuzzy
+msgid "Take second polynomial (as vector) derivative."
+msgstr "Toma o polinômio da segunda derivada (como vetor)"
+
+#: C/genius.xml:8079(term)
+msgid "<anchor id=\"gel-function-PolyDerivative\"/>PolyDerivative"
+msgstr ""
+
+#: C/genius.xml:8081(synopsis)
+#, no-wrap
+msgid "PolyDerivative (p)"
+msgstr ""
+
+#: C/genius.xml:8082(para)
+#, fuzzy
+msgid "Take polynomial (as vector) derivative."
+msgstr "Toma o polinômio da derivada (como vetor)"
+
+#: C/genius.xml:8087(term)
+msgid "<anchor id=\"gel-function-PolyToFunction\"/>PolyToFunction"
+msgstr ""
+
+#: C/genius.xml:8089(synopsis)
+#, fuzzy, no-wrap
+msgid "PolyToFunction (p)"
+msgstr "Função"
+
+#: C/genius.xml:8090(para)
+#, fuzzy
+msgid "Make function out of a polynomial (as vector)."
+msgstr "Cria uma função fora de um polinômio (como vetor)"
+
+#: C/genius.xml:8095(term)
+msgid "<anchor id=\"gel-function-PolyToString\"/>PolyToString"
+msgstr ""
+
+#: C/genius.xml:8097(synopsis)
+#, no-wrap
+msgid "PolyToString (p,var...)"
+msgstr ""
+
+#: C/genius.xml:8098(para)
+#, fuzzy
+msgid "Make string out of a polynomial (as vector)."
+msgstr "Cria uma string fora de um polinômio (como vetor)"
+
+#: C/genius.xml:8103(term)
+msgid "<anchor id=\"gel-function-SubtractPoly\"/>SubtractPoly"
+msgstr ""
+
+#: C/genius.xml:8105(synopsis)
+#, no-wrap
+msgid "SubtractPoly (p1,p2)"
+msgstr ""
+
+#: C/genius.xml:8106(para)
+#, fuzzy
+msgid "Subtract two polynomials (as vectors)."
+msgstr "Subtrai dois polinômios (como vetores)"
+
+#: C/genius.xml:8111(term)
+msgid "<anchor id=\"gel-function-TrimPoly\"/>TrimPoly"
+msgstr ""
+
+#: C/genius.xml:8113(synopsis)
+#, no-wrap
+msgid "TrimPoly (p)"
+msgstr ""
+
+#: C/genius.xml:8114(para)
+#, fuzzy
+msgid "Trim zeros from a polynomial (as vector)."
+msgstr "Retira os zeros de um polinômio (como vetor)"
+
+#: C/genius.xml:8122(title)
+msgid "Set Theory"
+msgstr "Teoria dos conjuntos"
+
+#: C/genius.xml:8125(term)
+msgid "<anchor id=\"gel-function-Intersection\"/>Intersection"
+msgstr ""
+
+#: C/genius.xml:8127(synopsis)
+#, no-wrap
+msgid "Intersection (X,Y)"
+msgstr ""
+
+#: C/genius.xml:8128(para)
+#, fuzzy
+msgid ""
+"Returns a set theoretic intersection of X and Y (X and Y are vectors "
+"pretending to be sets)."
+msgstr ""
+"Devolve a interseção (teoria dos conjuntos) de X e Y (X e Y são vetores "
+"interpretados como conjuntos)"
+
+#: C/genius.xml:8133(term)
+msgid "<anchor id=\"gel-function-IsIn\"/>IsIn"
+msgstr ""
+
+#: C/genius.xml:8135(synopsis)
+#, no-wrap
+msgid "IsIn (x,X)"
+msgstr ""
+
+#: C/genius.xml:8136(para)
+#, fuzzy
+msgid ""
+"Returns <constant>true</constant> if the element x is in the set X (where X "
+"is a vector pretending to be a set)."
+msgstr ""
+"Devolve true se o elemento x está no conjunto X (onde X é um vetor "
+"interpretado como um conjunto)"
+
+#: C/genius.xml:8141(term)
+msgid "<anchor id=\"gel-function-IsSubset\"/>IsSubset"
+msgstr ""
+
+#: C/genius.xml:8143(synopsis)
+#, no-wrap
+msgid "IsSubset (X, Y)"
+msgstr ""
+
+#: C/genius.xml:8144(para)
+#, fuzzy
+msgid ""
+"Returns <constant>true</constant> if X is a subset of Y (X and Y are vectors "
+"pretending to be sets)."
+msgstr ""
+"Devolve a união (teoria dos conjuntos) de X e Y (X e Y são vetores "
+"interpretados como conjuntos)"
+
+#: C/genius.xml:8149(term)
+msgid "<anchor id=\"gel-function-MakeSet\"/>MakeSet"
+msgstr ""
+
+#: C/genius.xml:8151(synopsis)
+#, no-wrap
+msgid "MakeSet (X)"
+msgstr ""
+
+#: C/genius.xml:8152(para)
+#, fuzzy
+msgid "Returns a vector where every element of X appears only once."
+msgstr "Devolve um conjunto onde cada elemento de X aparece apenas uma vez"
+
+#: C/genius.xml:8157(term)
+msgid "<anchor id=\"gel-function-SetMinus\"/>SetMinus"
+msgstr ""
+
+#: C/genius.xml:8159(synopsis)
+#, no-wrap
+msgid "SetMinus (X,Y)"
+msgstr ""
+
+#: C/genius.xml:8160(para)
+#, fuzzy
+msgid ""
+"Returns a set theoretic difference X-Y (X and Y are vectors pretending to be "
+"sets)."
+msgstr ""
+"Devolve a diferença (teoria dos conjuntos) X-Y (X e Y são vetores "
+"interpretados como conjuntos)"
+
+#: C/genius.xml:8165(term)
+msgid "<anchor id=\"gel-function-Union\"/>Union"
+msgstr ""
+
+#: C/genius.xml:8167(synopsis)
+#, no-wrap
+msgid "Union (X,Y)"
+msgstr ""
+
+#: C/genius.xml:8168(para)
+#, fuzzy
+msgid ""
+"Returns a set theoretic union of X and Y (X and Y are vectors pretending to "
+"be sets)."
+msgstr ""
+"Devolve a união (teoria dos conjuntos) de X e Y (X e Y são vetores "
+"interpretados como conjuntos)"
+
+#: C/genius.xml:8176(title)
+msgid "Commutative Algebra"
+msgstr "Álgebra comutativa"
+
+#: C/genius.xml:8179(term)
+msgid "<anchor id=\"gel-function-MacaulayBound\"/>MacaulayBound"
+msgstr ""
+
+#: C/genius.xml:8181(synopsis)
+#, no-wrap
+msgid "MacaulayBound (c,d)"
+msgstr ""
+
+#: C/genius.xml:8182(para)
+#, fuzzy
+msgid ""
+"For a Hilbert function that is c for degree d, given the Macaulay bound for "
+"the Hilbert function of degree d+1 (The c^&lt;d&gt; operator from Green's "
+"proof)."
+msgstr ""
+"Para uma função de Hilbert cujo c é de grau d, dado o limite de Macaulay "
+"para a função de Hilbert de grau d+1 (O operador c^<d> da demonstração de "
+"Green)"
+
+#: C/genius.xml:8187(term)
+msgid ""
+"<anchor id=\"gel-function-MacaulayLowerOperator\"/>MacaulayLowerOperator"
+msgstr ""
+
+#: C/genius.xml:8189(synopsis)
+#, no-wrap
+msgid "MacaulayLowerOperator (c,d)"
+msgstr ""
+
+#: C/genius.xml:8190(para)
+#, fuzzy
+msgid "The c_&lt;d&gt; operator from Green's proof of Macaulay's Theorem."
+msgstr "O operador c_<d> da demonstração de Green do teorema de Macaulay"
+
+#: C/genius.xml:8195(term)
+msgid "<anchor id=\"gel-function-MacaulayRep\"/>MacaulayRep"
+msgstr ""
+
+#: C/genius.xml:8197(synopsis)
+#, no-wrap
+msgid "MacaulayRep (c,d)"
+msgstr ""
+
+#: C/genius.xml:8198(para)
+#, fuzzy
+msgid "Return the dth Macaulay representation of a positive integer c."
+msgstr "Devolve a d-ésima representação de Macaulay de um c inteiro positivo"
+
+#: C/genius.xml:8205(title)
+msgid "Miscellaneous"
+msgstr "Miscelânea"
+
+#: C/genius.xml:8208(term)
+msgid "<anchor id=\"gel-function-ASCIIToString\"/>ASCIIToString"
+msgstr ""
+
+#: C/genius.xml:8210(synopsis)
+#, no-wrap
+msgid "ASCIIToString (vec)"
+msgstr ""
+
+#: C/genius.xml:8211(para)
+#, fuzzy
+msgid "Convert a vector of ASCII values to a string."
+msgstr "Converte um vetor de valores ASCII em uma string"
+
+#: C/genius.xml:8216(term)
+msgid "<anchor id=\"gel-function-AlphabetToString\"/>AlphabetToString"
+msgstr ""
+
+#: C/genius.xml:8218(synopsis)
+#, no-wrap
+msgid "AlphabetToString (vec,alphabet)"
+msgstr ""
+
+#: C/genius.xml:8219(para)
+#, fuzzy
+msgid ""
+"Convert a vector of 0-based alphabet values (positions in the alphabet "
+"string) to a string."
+msgstr ""
+"Converte um vetor de valores do alfabeto baseados em zero (posições na "
+"string do alfabeto) em uma string"
+
+#: C/genius.xml:8224(term)
+msgid "<anchor id=\"gel-function-StringToASCII\"/>StringToASCII"
+msgstr ""
+
+#: C/genius.xml:8226(synopsis)
+#, no-wrap
+msgid "StringToASCII (str)"
+msgstr ""
+
+#: C/genius.xml:8227(para)
+#, fuzzy
+msgid "Convert a string to a vector of ASCII values."
+msgstr "Converte uma string em um vetor de valores ASCII"
+
+#: C/genius.xml:8232(term)
+msgid "<anchor id=\"gel-function-StringToAlphabet\"/>StringToAlphabet"
+msgstr ""
+
+#: C/genius.xml:8234(synopsis)
+#, no-wrap
+msgid "StringToAlphabet (str,alphabet)"
+msgstr ""
+
+#: C/genius.xml:8235(para)
+#, fuzzy
+msgid ""
+"Convert a string to a vector of 0-based alphabet values (positions in the "
+"alphabet string), -1's for unknown letters."
+msgstr ""
+"Converte uma string em um vetor de valores do alfabeto baseados em zero "
+"(posições na string do alfabeto), -1 é para letras desconhecidas"
+
+#: C/genius.xml:8243(title)
+msgid "Symbolic Operations"
+msgstr "Operações simbólicas"
+
+#: C/genius.xml:8246(term)
+msgid "<anchor id=\"gel-function-SymbolicDerivative\"/>SymbolicDerivative"
+msgstr ""
+
+#: C/genius.xml:8248(synopsis)
+#, fuzzy, no-wrap
+msgid "SymbolicDerivative (f)"
+msgstr "Operações simbólicas"
+
+#: C/genius.xml:8249(para)
+msgid ""
+"Attempt to symbolically differentiate the function f, where f is a function "
+"of one variable."
+msgstr ""
+"Tenta simbolicamente derivar a função f, onde f é uma função de uma variável."
+
+#: C/genius.xml:8250(para)
+msgid ""
+"Examples: <screen><prompt>genius&gt;</prompt> "
+"<userinput>SymbolicDerivative(sin)</userinput>\n"
+"= (`(x)=cos(x))\n"
+"<prompt>genius&gt;</prompt> <userinput>SymbolicDerivative(`(x)=7*x^2)</"
+"userinput>\n"
+"= (`(x)=(7*(2*x)))\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:8262(term)
+msgid ""
+"<anchor id=\"gel-function-SymbolicDerivativeTry\"/>SymbolicDerivativeTry"
+msgstr ""
+
+#: C/genius.xml:8264(synopsis)
+#, no-wrap
+msgid "SymbolicDerivativeTry (f)"
+msgstr ""
+
+#: C/genius.xml:8265(para)
+#, fuzzy
+msgid ""
+"Attempt to symbolically differentiate the function f, where f is a function "
+"of one variable, returns <constant>null</constant> if unsuccessful but is "
+"silent. (See <link linkend=\"gel-function-SymbolicDerivative"
+"\"><function>SymbolicDerivative</function></link>)"
+msgstr ""
+"Tenta simbolicamente derivar a função f, onde f é uma função de uma "
+"variável. Retorna nulo (null) caso não haja sucesso, porém silenciosamente."
+
+#: C/genius.xml:8272(term)
+msgid ""
+"<anchor id=\"gel-function-SymbolicNthDerivative\"/>SymbolicNthDerivative"
+msgstr ""
+
+#: C/genius.xml:8274(synopsis)
+#, fuzzy, no-wrap
+msgid "SymbolicNthDerivative (f,n)"
+msgstr "Operações simbólicas"
+
+#: C/genius.xml:8275(para)
+msgid ""
+"Attempt to symbolically differentiate a function n times. (See <link linkend="
+"\"gel-function-SymbolicDerivative\"><function>SymbolicDerivative</function></"
+"link>)"
+msgstr ""
+
+#: C/genius.xml:8282(term)
+msgid ""
+"<anchor id=\"gel-function-SymbolicNthDerivativeTry\"/"
+">SymbolicNthDerivativeTry"
+msgstr ""
+
+#: C/genius.xml:8284(synopsis)
+#, no-wrap
+msgid "SymbolicNthDerivativeTry (f,n)"
+msgstr ""
+
+#: C/genius.xml:8285(para)
+msgid ""
+"Attempt to symbolically differentiate a function n times quietly and return "
+"<constant>null</constant> on failure (See <link linkend=\"gel-function-"
+"SymbolicNthDerivative\"><function>SymbolicNthDerivative</function></link>)"
+msgstr ""
+
+#: C/genius.xml:8292(term)
+msgid ""
+"<anchor id=\"gel-function-SymbolicTaylorApproximationFunction\"/"
+">SymbolicTaylorApproximationFunction"
+msgstr ""
+
+#: C/genius.xml:8294(synopsis)
+#, no-wrap
+msgid "SymbolicTaylorApproximationFunction (f,x0,n)"
+msgstr ""
+
+#: C/genius.xml:8295(para)
+#, fuzzy
+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 ""
+"Tenta construir a função de aproximação de Taylor em torno de x0 ao n-ésimo "
+"grau."
+
+#: C/genius.xml:8307(term)
+msgid "<anchor id=\"gel-function-ExportPlot\"/>ExportPlot"
+msgstr ""
+
+#: C/genius.xml:8309(synopsis)
+#, fuzzy, no-wrap
+msgid "ExportPlot (file,type)"
+msgstr "Falha ao exportar"
+
+#: C/genius.xml:8310(synopsis)
+#, fuzzy, no-wrap
+msgid "ExportPlot (file)"
+msgstr "Falha ao exportar"
+
+#: C/genius.xml:8311(para)
+msgid ""
+"Export the contents of the plotting window to a file. The type is a string "
+"that specifies the file type to use, \"png\", \"eps\", or \"ps\". If the "
+"type is not specified, then it is taken to be the extension, in which case "
+"the extension must be \".png\", \".eps\", or \".ps\"."
+msgstr ""
+
+#: C/genius.xml:8318(para)
+msgid "Note that files are overwritten without asking."
+msgstr ""
+
+#: C/genius.xml:8321(para)
+msgid ""
+"On successful export, true is returned. Otherwise error is printed and "
+"exception is raised."
+msgstr ""
+
+#: C/genius.xml:8325(para)
+msgid ""
+"Examples: <screen><prompt>genius&gt;</prompt> <userinput>ExportPlot(\"file."
+"png\")</userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>ExportPlot(\"/directory/file\",\"eps"
+"\")</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:8335(term)
+msgid "<anchor id=\"gel-function-LinePlot\"/>LinePlot"
+msgstr ""
+
+#: C/genius.xml:8337(synopsis)
+#, no-wrap
+msgid "LinePlot (func1,func2,func3,...)"
+msgstr ""
+
+#: C/genius.xml:8338(synopsis)
+#, no-wrap
+msgid "LinePlot (func1,func2,func3,x1,x2)"
+msgstr ""
+
+#: C/genius.xml:8339(synopsis)
+#, no-wrap
+msgid "LinePlot (func1,func2,func3,x1,x2,y1,y2)"
+msgstr ""
+
+#: C/genius.xml:8340(synopsis)
+#, no-wrap
+msgid "LinePlot (func1,func2,func3,[x1,x2])"
+msgstr ""
+
+#: C/genius.xml:8341(synopsis)
+#, no-wrap
+msgid "LinePlot (func1,func2,func3,[x1,x2,y1,y2])"
+msgstr ""
+
+#: C/genius.xml:8342(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>) If the y limits "
+"are not specified, then the functions are computed and then the maxima and "
+"minima are used."
+msgstr ""
+
+#: C/genius.xml:8353(para) C/genius.xml:8460(para) C/genius.xml:8487(para)
+#: C/genius.xml:8570(para) C/genius.xml:8745(para)
+msgid ""
+"The parameter <link linkend=\"gel-function-LinePlotDrawLegends"
+"\"><function>LinePlotDrawLegends</function></link> controls the drawing of "
+"the legend."
+msgstr ""
+
+#: C/genius.xml:8358(para)
+msgid ""
+"Examples: <screen><prompt>genius&gt;</prompt> <userinput>LinePlot(sin,cos)</"
+"userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>LinePlot(`(x)=x^2,-1,1,0,1)</"
+"userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:8368(term)
+msgid "<anchor id=\"gel-function-LinePlotClear\"/>LinePlotClear"
+msgstr ""
+
+#: C/genius.xml:8370(synopsis)
+#, no-wrap
+msgid "LinePlotClear ()"
+msgstr ""
+
+#: C/genius.xml:8371(para)
+#, fuzzy
+msgid ""
+"Show the line plot window and clear out functions and any other lines that "
+"were drawn."
+msgstr "Mostra a janela de gráfico de linha e limpa as funções"
+
+#: C/genius.xml:8379(term)
+msgid "<anchor id=\"gel-function-LinePlotDrawLine\"/>LinePlotDrawLine"
+msgstr ""
+
+#: C/genius.xml:8381(synopsis)
+#, no-wrap
+msgid "LinePlotDrawLine (x1,y1,x2,y2,...)"
+msgstr ""
+
+#: C/genius.xml:8382(synopsis)
+#, no-wrap
+msgid "LinePlotDrawLine (v,...)"
+msgstr ""
+
+#: C/genius.xml:8383(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 polyline."
+msgstr ""
+
+#: C/genius.xml:8390(para)
+msgid ""
+"Extra parameters can be added to specify line color, thickness, arrows, the "
+"plotting window, or legend. You can do this by adding an argument string "
+"<userinput>\"color\"</userinput>, <userinput>\"thickness\"</userinput>, "
+"<userinput>\"window\"</userinput>, <userinput>\"arrow\"</userinput>, or "
+"<userinput>\"legend\"</userinput>, and after it specify the color, the "
+"thicknes, the window as 4-vector, type of arrow, or the legend."
+msgstr ""
+
+#: C/genius.xml:8400(para)
+msgid ""
+"The color should be either a string indicating the common english word for "
+"the color that GTK will recognize such as <userinput>\"red\"</userinput>, "
+"<userinput>\"blue\"</userinput>, <userinput>\"yellow\"</userinput>, etc... "
+"Alternatively the color can be specified in RGB format as <userinput>\"#rgb"
+"\"</userinput>, <userinput>\"#rrggbb\"</userinput>, or <userinput>"
+"\"#rrrrggggbbbb\"</userinput>, where the r, g, or b are hex digits of the "
+"red, green, and blue components of the color. Finally the color can also be "
+"specified as a real vector specifying the red green and blue components "
+"where the components are between 0 and 1."
+msgstr ""
+
+#: C/genius.xml:8410(para)
+msgid ""
+"The window should be given as usual as <userinput>[x1,x2,y1,y2]</userinput>, "
+"or alternatively can be given as a string <userinput>\"fit\"</userinput> in "
+"which case, the x range will be set precisely and the y range will be set "
+"with five percent borders around the line."
+msgstr ""
+
+#: C/genius.xml:8417(para)
+msgid ""
+"Arrow specification should be <userinput>\"origin\"</userinput>, <userinput>"
+"\"end\"</userinput>, <userinput>\"both\"</userinput>, or <userinput>\"none"
+"\"</userinput>."
+msgstr ""
+
+#: C/genius.xml:8424(para)
+msgid ""
+"Finally, legend should be a string that can be used as the legend in the "
+"graph. That is, if legends are being printed."
+msgstr ""
+
+#: C/genius.xml:8428(para)
+msgid ""
+"Examples: <screen><prompt>genius&gt;</prompt> "
+"<userinput>LinePlotDrawLine(0,0,1,1,\"color\",\"blue\",\"thickness\",3)</"
+"userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>LinePlotDrawLine([0,0;1,-1;-1,-1])</"
+"userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>LinePlotDrawLine([0,0;1,1],\"arrow\","
+"\"end\")</userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>LinePlotDrawLine(EulersMethodFull(`(x,"
+"y)=y,0,3,100),\"color\",\"blue\",\"legend\",\"The Solution\")</userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>for r=0.0 to 1.0 by 0.1 do "
+"LinePlotDrawLine([0,0;1,r],\"color\",[r,(1-r),0.5],\"window\",[0,1,0,1])</"
+"userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:8441(term)
+msgid "<anchor id=\"gel-function-LinePlotParametric\"/>LinePlotParametric"
+msgstr ""
+
+#: C/genius.xml:8443(synopsis)
+#, no-wrap
+msgid "LinePlotParametric (xfunc,yfunc,...)"
+msgstr ""
+
+#: C/genius.xml:8444(synopsis)
+#, no-wrap
+msgid "LinePlotParametric (xfunc,yfunc,t1,t2,tinc)"
+msgstr ""
+
+#: C/genius.xml:8445(synopsis)
+#, no-wrap
+msgid "LinePlotParametric (xfunc,yfunc,t1,t2,tinc,x1,x2,y1,y2)"
+msgstr ""
+
+#: C/genius.xml:8446(synopsis)
+#, no-wrap
+msgid "LinePlotParametric (xfunc,yfunc,t1,t2,tinc,[x1,x2,y1,y2])"
+msgstr ""
+
+#: C/genius.xml:8447(synopsis)
+#, no-wrap
+msgid "LinePlotParametric (xfunc,yfunc,t1,t2,tinc,\"fit\")"
+msgstr ""
+
+#: C/genius.xml:8448(para)
+#, fuzzy
+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 ""
+"Traça uma função paramétrica com uma linha. Primeiro vêm as funções para x e "
+"y e então opcionalmente os limites de t como t1,t2,tinc, então "
+"opcionalmente  limites como x1,x2,y1,y2"
+
+#: C/genius.xml:8453(para)
+msgid ""
+"If x and y limits are not specified, then the currently set limits apply "
+"(See <link linkend=\"gel-function-LinePlotWindow\"><function>LinePlotWindow</"
+"function></link>). If instead the string \"fit\" is given for the x and y "
+"limits, then the limits are the maximum extent of the graph"
+msgstr ""
+
+#: C/genius.xml:8469(term)
+msgid "<anchor id=\"gel-function-LinePlotCParametric\"/>LinePlotCParametric"
+msgstr ""
+
+#: C/genius.xml:8471(synopsis)
+#, no-wrap
+msgid "LinePlotCParametric (func,...)"
+msgstr ""
+
+#: C/genius.xml:8472(synopsis)
+#, no-wrap
+msgid "LinePlotCParametric (func,t1,t2,tinc)"
+msgstr ""
+
+#: C/genius.xml:8473(synopsis)
+#, no-wrap
+msgid "LinePlotCParametric (func,t1,t2,tinc,x1,x2,y1,y2)"
+msgstr ""
+
+#: C/genius.xml:8474(para)
+#, fuzzy
+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 ""
+"Traça uma função paramétrica com valores complexos com uma linha. Primeiro "
+"vêm as funções que retornam x+iy depois opcionalmente os limites de t como "
+"t1,t2,tinc, então opcionalmente os limites como x1,x2,y1,y2"
+
+#: C/genius.xml:8480(para)
+msgid ""
+"If limits are not specified, then the currently set limits apply (See <link "
+"linkend=\"gel-function-LinePlotWindow\"><function>LinePlotWindow</function></"
+"link>). If instead the string \"fit\" is given for the x and y limits, then "
+"the limits are the maximum extent of the graph"
+msgstr ""
+
+#: C/genius.xml:8496(term)
+msgid "<anchor id=\"gel-function-PlotCanvasFreeze\"/>PlotCanvasFreeze"
+msgstr ""
+
+#: C/genius.xml:8498(synopsis)
+#, no-wrap
+msgid "PlotCanvasFreeze ()"
+msgstr ""
+
+#: C/genius.xml:8499(para)
+msgid ""
+"Freeze drawing of the canvas plot temporarily. Useful if you need to draw a "
+"bunch of elements and want to delay drawing everything to avoid flicker in "
+"an animation. After everything has been drawn you should call <link linkend="
+"\"gel-function-PlotCanvasThaw\"><function>PlotCanvasThaw</function></link>."
+msgstr ""
+
+#: C/genius.xml:8504(para)
+msgid ""
+"The canvas is always thawed after end of any execution, so it will never "
+"remain frozen. The moment a new command line is shown for example the plot "
+"canvas is thawed automatically. Also note that calls to freeze and thaw may "
+"be safely nested."
+msgstr ""
+
+#: C/genius.xml:8513(term)
+msgid "<anchor id=\"gel-function-PlotCanvasThaw\"/>PlotCanvasThaw"
+msgstr ""
+
+#: C/genius.xml:8515(synopsis)
+#, no-wrap
+msgid "PlotCanvasThaw ()"
+msgstr ""
+
+#: C/genius.xml:8516(para)
+msgid ""
+"Thaw the plot canvas frozen by <link linkend=\"gel-function-PlotCanvasFreeze"
+"\"><function>PlotCanvasFreeze</function></link> and rewdraw the canvas "
+"immediately. The canvas is also always thawed after end of execution of any "
+"program."
+msgstr ""
+
+#: C/genius.xml:8526(term)
+msgid ""
+"<anchor id=\"gel-function-SlopefieldClearSolutions\"/"
+">SlopefieldClearSolutions"
+msgstr ""
+
+#: C/genius.xml:8528(synopsis)
+#, fuzzy, no-wrap
+msgid "SlopefieldClearSolutions ()"
+msgstr "Apagar soluções"
+
+#: C/genius.xml:8529(para)
+msgid ""
+"Clears the solutions drawn by the <link linkend=\"gel-function-"
+"SlopefieldDrawSolution\"><function>SlopefieldDrawSolution</function></link> "
+"function."
+msgstr ""
+
+#: C/genius.xml:8538(term)
+msgid ""
+"<anchor id=\"gel-function-SlopefieldDrawSolution\"/>SlopefieldDrawSolution"
+msgstr ""
+
+#: C/genius.xml:8540(synopsis)
+#, no-wrap
+msgid "SlopefieldDrawSolution (x, y, dx)"
+msgstr ""
+
+#: C/genius.xml:8541(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:8555(term)
+msgid "<anchor id=\"gel-function-SlopefieldPlot\"/>SlopefieldPlot"
+msgstr ""
+
+#: C/genius.xml:8557(synopsis)
+#, fuzzy, no-wrap
+msgid "SlopefieldPlot (func)"
+msgstr "Camp_o de inclinação"
+
+#: C/genius.xml:8558(synopsis)
+#, no-wrap
+msgid "SlopefieldPlot (func,x1,x2,y1,y2)"
+msgstr ""
+
+#: C/genius.xml:8559(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:8575(para)
+msgid ""
+"Examples: <screen><prompt>genius&gt;</prompt> <userinput>Slopefield(`(x,"
+"y)=sin(x-y),-5,5,-5,5)</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:8584(term)
+msgid "<anchor id=\"gel-function-SurfacePlot\"/>SurfacePlot"
+msgstr ""
+
+#: C/genius.xml:8586(synopsis)
+#, fuzzy, no-wrap
+msgid "SurfacePlot (func)"
+msgstr "Traço de _superfície"
+
+#: C/genius.xml:8587(synopsis)
+#, no-wrap
+msgid "SurfacePlot (func,x1,x2,y1,y2,z1,z2)"
+msgstr ""
+
+#: C/genius.xml:8588(synopsis)
+#, no-wrap
+msgid "SurfacePlot (func,x1,x2,y1,y2)"
+msgstr ""
+
+#: C/genius.xml:8589(synopsis)
+#, no-wrap
+msgid "SurfacePlot (func,[x1,x2,y1,y2,z1,z2])"
+msgstr ""
+
+#: C/genius.xml:8590(synopsis)
+#, no-wrap
+msgid "SurfacePlot (func,[x1,x2,y1,y2])"
+msgstr ""
+
+#: C/genius.xml:8591(para)
+msgid ""
+"Plot a surface function that 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:8599(para)
+msgid ""
+"If the z limits are not specified then the maxima and minima of the function "
+"are used."
+msgstr ""
+
+#: C/genius.xml:8602(para)
+msgid ""
+"Examples: <screen><prompt>genius&gt;</prompt> <userinput>SurfacePlot(|"
+"sin|,-1,1,-1,1,0,1.5)</userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>SurfacePlot(`(x,"
+"y)=x^2+y,-1,1,-1,1,-2,2)</userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>SurfacePlot(`(z)=|z|"
+"^2,-1,1,-1,1,0,2)</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:8613(term)
+msgid "<anchor id=\"gel-function-SurfacePlotData\"/>SurfacePlotData"
+msgstr ""
+
+#: C/genius.xml:8615(synopsis)
+#, no-wrap
+msgid "SurfacePlotData (data)"
+msgstr ""
+
+#: C/genius.xml:8616(synopsis)
+#, no-wrap
+msgid "SurfacePlotData (data,label)"
+msgstr ""
+
+#: C/genius.xml:8617(synopsis)
+#, no-wrap
+msgid "SurfacePlotData (data,x1,x2,y1,y2,z1,z2)"
+msgstr ""
+
+#: C/genius.xml:8618(synopsis)
+#, no-wrap
+msgid "SurfacePlotData (data,label,x1,x2,y1,y2,z1,z2)"
+msgstr ""
+
+#: C/genius.xml:8619(synopsis)
+#, no-wrap
+msgid "SurfacePlotData (data,[x1,x2,y1,y2,z1,z2])"
+msgstr ""
+
+#: C/genius.xml:8620(synopsis)
+#, no-wrap
+msgid "SurfacePlotData (data,label,[x1,x2,y1,y2,z1,z2])"
+msgstr ""
+
+#: C/genius.xml:8621(para)
+msgid ""
+"Plot a surface from data. The data is an n by 3 matrix whose rows are the x, "
+"y and z coordinates. The data can also be simply a vector whose length is a "
+"multiple of 3 and so contains the tripples of x, y, z. The data should "
+"contain at least 3 points."
+msgstr ""
+
+#: C/genius.xml:8628(para)
+msgid ""
+"Optionally we can give the label and also optionally the limits. If limits "
+"are not given, they are computed from the data, <link linkend=\"gel-function-"
+"SurfacePlotWindow\"><function>SurfacePlotWindow</function></link> is not "
+"used, if you want to use it, pass it in explicitly. If label is not given "
+"then empty label is used."
+msgstr ""
+
+#: C/genius.xml:8635(para)
+msgid ""
+"Examples: <screen><prompt>genius&gt;</prompt> "
+"<userinput>SurfacePlotData([0,0,0;1,0,1;0,1,1;1,1,3])</userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>SurfacePlotData(data,\"My data\")</"
+"userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>SurfacePlotData(data,-1,1,-1,1,0,10)</"
+"userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>SurfacePlotData(data,"
+"SurfacePlotWindow)</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:8643(para)
+msgid ""
+"Here's an example of how to plot in polar coordinates, in particular how to "
+"plot the function <userinput>-r^2 * theta</userinput>: "
+"<screen><prompt>genius&gt;</prompt> <userinput>d:=null; for r=0 to 1 by 0.1 "
+"do for theta=0 to 2*pi by pi/5 do d=[d;[r*cos(theta),r*sin(theta),-"
+"r^2*theta]];</userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>SurfacePlotData(d)</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:8655(term)
+msgid "<anchor id=\"gel-function-SurfacePlotDataGrid\"/>SurfacePlotDataGrid"
+msgstr ""
+
+#: C/genius.xml:8657(synopsis)
+#, no-wrap
+msgid "SurfacePlotDataGrid (data,[x1,x2,y1,y2])"
+msgstr ""
+
+#: C/genius.xml:8658(synopsis)
+#, no-wrap
+msgid "SurfacePlotDataGrid (data,[x1,x2,y1,y2,z1,z2])"
+msgstr ""
+
+#: C/genius.xml:8659(synopsis)
+#, no-wrap
+msgid "SurfacePlotDataGrid (data,[x1,x2,y1,y2],label)"
+msgstr ""
+
+#: C/genius.xml:8660(synopsis)
+#, no-wrap
+msgid "SurfacePlotDataGrid (data,[x1,x2,y1,y2,z1,z2],label)"
+msgstr ""
+
+#: C/genius.xml:8661(para)
+msgid ""
+"Plot a surface from regular rectangular data. The data is given in a n by m "
+"matrix where the rows are the x coordinate and the columns are the y "
+"coordinate. The x coordinate is divided into equal n-1 subintervals and y "
+"coordinate is divided into equal m-1 subintervals. The limits <varname>x1</"
+"varname> and <varname>x2</varname> give the interval on the x-axis that we "
+"use, and the limits <varname>y1</varname> and <varname>y2</varname> give the "
+"interval on the y-axis that we use. If the limits <varname>z1</varname> and "
+"<varname>z2</varname> are not given they are computed from the data (to be "
+"the extreme values from the data)."
+msgstr ""
+
+#: C/genius.xml:8675(para)
+msgid ""
+"Optionally we can give the label, if label is not given then empty label is "
+"used."
+msgstr ""
+
+#: C/genius.xml:8679(para)
+msgid ""
+"Examples: <screen><prompt>genius&gt;</prompt> "
+"<userinput>SurfacePlotDataGrid([1,2;3,4],[0,1,0,1])</userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>SurfacePlotDataGrid(data,[-1,1,-1,1],"
+"\"My data\")</userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>d:=null; for i=1 to 20 do for j=1 to "
+"10 d@(i,j) = (0.1*i-1)^2-(0.1*j)^2;</userinput>\n"
+"<prompt>genius&gt;</prompt> <userinput>SurfacePlotDataGrid(d,[-1,1,0,1],"
+"\"half a saddle\")</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:8691(term)
+msgid ""
+"<anchor id=\"gel-function-VectorfieldClearSolutions\"/"
+">VectorfieldClearSolutions"
+msgstr ""
+
+#: C/genius.xml:8693(synopsis)
+#, no-wrap
+msgid "VectorfieldClearSolutions ()"
+msgstr ""
+
+#: C/genius.xml:8694(para)
+msgid ""
+"Clears the solutions drawn by the <link linkend=\"gel-function-"
+"VectorfieldDrawSolution\"><function>VectorfieldDrawSolution</function></"
+"link> function."
+msgstr ""
+
+#: C/genius.xml:8703(term)
+msgid ""
+"<anchor id=\"gel-function-VectorfieldDrawSolution\"/>VectorfieldDrawSolution"
+msgstr ""
+
+#: C/genius.xml:8705(synopsis)
+#, no-wrap
+msgid "VectorfieldDrawSolution (x, y, dt, tlen)"
+msgstr ""
+
+#: C/genius.xml:8706(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:8721(term)
+msgid "<anchor id=\"gel-function-VectorfieldPlot\"/>VectorfieldPlot"
+msgstr ""
+
+#: C/genius.xml:8723(synopsis)
+#, no-wrap
+msgid "VectorfieldPlot (funcx, funcy)"
+msgstr ""
+
+#: C/genius.xml:8724(synopsis)
+#, no-wrap
+msgid "VectorfieldPlot (funcx, funcy, x1, x2, y1, y2)"
+msgstr ""
+
+#: C/genius.xml:8725(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:8738(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:8750(para)
+msgid ""
+"Examples: <screen><prompt>genius&gt;</prompt> <userinput>VectorfieldPlot(`(x,"
+"y)=x^2-y, `(x,y)=y^2-x, -1, 1, -1, 1)</userinput>\n"
+"</screen>"
+msgstr ""
+
+#: C/genius.xml:8765(title)
+msgid "Example Programs in GEL"
+msgstr ""
+
+#: C/genius.xml:8767(para)
+msgid "Here is a function that calculates factorials: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:8772(para)
+msgid "With indentation it becomes: <placeholder-1/>"
+msgstr ""
+
+#: C/genius.xml:8782(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:8795(programlisting)
+#, no-wrap
+msgid "function f(x) = prod k=1 to x do k\n"
+msgstr ""
+
+#: C/genius.xml:8791(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:8799(para)
+msgid ""
+"Here is a larger example, this basically redefines the internal <link "
+"linkend=\"gel-function-ref\"><function>ref</function></link> 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:8854(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:8864(title)
+msgid "Changing Settings with GEL"
+msgstr ""
+
+#: C/genius.xml:8865(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:8874(programlisting)
+#, no-wrap
+msgid "MaxDigits = 12\n"
+msgstr ""
+
+#: C/genius.xml:8872(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:8880(title)
+msgid "Output"
+msgstr "Saída"
+
+#: C/genius.xml:8884(guilabel)
+#, fuzzy
+msgid "Maximum digits to output"
+msgstr "Dígitos máximos para mostrar"
+
+#: C/genius.xml:8887(para)
+msgid ""
+"The maximum digits in a result (<link linkend=\"gel-function-MaxDigits"
+"\"><function>MaxDigits</function></link>)"
+msgstr ""
+
+#: C/genius.xml:8892(guilabel)
+msgid "Results as floats"
+msgstr "Resultados como números reais"
+
+#: C/genius.xml:8895(para)
+msgid ""
+"If the results should be always printed as floats (<link linkend=\"gel-"
+"function-ResultsAsFloats\"><function>ResultsAsFloats</function></link>)"
+msgstr ""
+
+#: C/genius.xml:8900(guilabel)
+msgid "Floats in scientific notation"
+msgstr "Resultados em notação científica"
+
+#: C/genius.xml:8903(para)
+msgid ""
+"If floats should be in scientific notation (<link linkend=\"gel-function-"
+"ScientificNotation\"><function>ScientificNotation</function></link>)"
+msgstr ""
+
+#: C/genius.xml:8908(guilabel)
+msgid "Always print full expressions"
+msgstr "Sempre mostrar expressões completas"
+
+#: C/genius.xml:8911(para)
+msgid ""
+"Should we print out full expressions for non-numeric return values (longer "
+"than a line) (<link linkend=\"gel-function-FullExpressions"
+"\"><function>FullExpressions</function></link>)"
+msgstr ""
+
+#: C/genius.xml:8917(guilabel)
+msgid "Use mixed fractions"
+msgstr "Usa frações mistas"
+
+#: C/genius.xml:8920(para)
+msgid ""
+"If fractions should be printed as mixed fractions such as \"1 1/3\" rather "
+"than \"4/3\". (<link linkend=\"gel-function-MixedFractions"
+"\"><function>MixedFractions</function></link>)"
+msgstr ""
+
+#: C/genius.xml:8926(guilabel)
+msgid ""
+"Display 0.0 when floating point number is less than 10^-x (0=never chop)"
+msgstr ""
+"Exibir 0.0 quando o número de ponto flutuante for menor que 10^-x (0=nunca "
+"arredondar)"
+
+#: C/genius.xml:8929(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:8937(guilabel)
+msgid "Only chop numbers when another number is greater than 10^-x"
+msgstr "Só arredondar números quando outro número for maior que 10^-x"
+
+#: C/genius.xml:8940(para)
+msgid ""
+"When to chop output. This is set by the paramter <link linkend=\"gel-"
+"function-OutputChopWhenExponent\"><function>OutputChopWhenExponent</"
+"function></link>. See the documentation of the paramter <link linkend=\"gel-"
+"function-OutputChopExponent\"><function>OutputChopExponent</function></link>."
+msgstr ""
+
+#: C/genius.xml:8948(guilabel)
+msgid "Remember output settings across sessions"
+msgstr "Lembrar a saída de configurações entre sessões"
+
+#: C/genius.xml:8951(para)
+#, fuzzy
+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 ""
+"As configurações de saída devem ser lembradas no quadro \"Opções de saída de "
+"número/expressão\" para a próxima sessão. Não se aplica ao quadro \"Opções "
+"de saída de erros/inform.\"."
+
+#: C/genius.xml:8953(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:8965(guilabel)
+msgid "Display errors in a dialog"
+msgstr "Exibir erros em uma caixa de diálogo"
+
+#: C/genius.xml:8968(para)
+msgid ""
+"If set the errors will be displayed in a separate dialog, if unset the "
+"errors will be printed on the console."
+msgstr ""
+
+#: C/genius.xml:8975(guilabel)
+msgid "Display information messages in a dialog"
+msgstr "Exibir mensagens de informação em uma caixa de diálogo"
+
+#: C/genius.xml:8978(para)
+msgid ""
+"If set the information messages will be displayed in a separate dialog, if "
+"unset the information messages will be printed on the console."
+msgstr ""
+
+#: C/genius.xml:8986(guilabel)
+msgid "Maximum errors to display"
+msgstr "Erros máximos para mostrar"
+
+#: C/genius.xml:8989(para)
+msgid ""
+"The maximum number of errors to return on one evaluation (<link linkend="
+"\"gel-function-MaxErrors\"><function>MaxErrors</function></link>). 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:9001(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:9011(function)
+#, fuzzy
+msgid "IntegerOutputBase"
+msgstr "Base de saída inteira"
+
+#: C/genius.xml:9014(para)
+msgid "The base that will be used to output integers"
+msgstr ""
+
+#: C/genius.xml:9020(function)
+#, fuzzy
+msgid "OutputStyle"
+msgstr "Estilo de Saída"
+
+#: C/genius.xml:9023(para)
+msgid ""
+"A string, can be <literal>\"normal\"</literal>, <literal>\"latex\"</"
+"literal>, <literal>\"mathml\"</literal> or <literal>\"troff\"</literal> and "
+"it will affect 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:9035(title)
+msgid "Precision"
+msgstr "Precisão"
+
+#: C/genius.xml:9039(guilabel)
+msgid "Floating point precision"
+msgstr "Precisão de ponto flutuante"
+
+#: C/genius.xml:9042(para)
+msgid ""
+"The floating point precision in bits (<link linkend=\"gel-function-"
+"FloatPrecision\"><function>FloatPrecision</function></link>). 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 <link linkend=\"gel-function-pi\"><function>pi</"
+"function></link> or <link linkend=\"gel-function-e\"><function>e</function></"
+"link>."
+msgstr ""
+
+#: C/genius.xml:9057(guilabel)
+msgid "Remember precision setting across sessions"
+msgstr "Lembrar as configurações de precisão entre sessões"
+
+#: C/genius.xml:9060(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:9073(title)
+msgid "Terminal"
+msgstr "Terminal"
+
+#: C/genius.xml:9075(para)
+msgid "Terminal refers to the console in the work area."
+msgstr ""
+
+#: C/genius.xml:9082(guilabel)
+msgid "Scrollback lines"
+msgstr "Rolar linha para trás"
+
+#: C/genius.xml:9085(para)
+msgid "Lines of scrollback in the terminal."
+msgstr ""
+
+#: C/genius.xml:9090(guilabel)
+msgid "Font"
+msgstr "Fonte"
+
+#: C/genius.xml:9093(para)
+msgid "The font to use on the terminal."
+msgstr ""
+
+#: C/genius.xml:9098(guilabel)
+msgid "Black on white"
+msgstr "Preto em branco"
+
+#: C/genius.xml:9101(para)
+msgid "If to use black on white on the terminal."
+msgstr ""
+
+#: C/genius.xml:9106(guilabel)
+msgid "Blinking cursor"
+msgstr "Cursor piscante"
+
+#: C/genius.xml:9109(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:9116(title)
+msgid "Memory"
+msgstr "Memória"
+
+#: C/genius.xml:9120(guilabel)
+msgid "Maximum number of nodes to allocate"
+msgstr "Número máximo de nós para alocar"
+
+#: C/genius.xml:9123(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 limit avoids "
+"the problem of running out of memory if you do something by mistake that "
+"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:9131(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:9139(para)
+msgid ""
+"Setting the limit to zero means there is no limit to the amount of memory "
+"that genius uses."
+msgstr ""
+
+#: C/genius.xml:9153(title)
+msgid "About <application>Genius Mathematics Tool</application>"
+msgstr ""
+
+#: C/genius.xml:9155(para)
+msgid ""
+"<application>Genius Mathematics Tool</application> was written by Jiří "
+"(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:9162(para)
+msgid ""
+"To report a bug or make a suggestion regarding this application or this "
+"manual, send email to me (the author) or post to the mailing list (see the "
+"web page)."
+msgstr ""
+
+#: C/genius.xml:9168(para)
+msgid ""
+"This program is distributed under the terms of the GNU General Public "
+"license as published by the Free Software Foundation; either version 3 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:9175(para)
+msgid ""
+"Jiří Lebl was during various parts of the development partially supported "
+"for the work by NSF grant DMS 0900885, the University of Illinois at Urbana-"
+"Champaign, the University of California at San Diego, and the University of "
+"Wisconsin-Madison. 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 "Enrico Nicoletto <liverig gmail com>, 2013."