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<h1>GAP - Reference Manual</h1>
<p>Release 4.15.1, 2025-10-18</p>
</div>
<p><b>The GAP Group
</b>
<br />Email: <span class="URL"><a href="mailto:support@gap-system.org">support@gap-system.org</a></span>
<br />Homepage: <span class="URL"><a href="https://www.gap-system.org">https://www.gap-system.org</a></span>
</p>
<p><a id="X81488B807F2A1CF1" name="X81488B807F2A1CF1"></a></p>
<h3>Copyright</h3>
<p>Copyright © (1987-2025) for the core part of the <strong class="pkg">GAP</strong> system by the <strong class="pkg">GAP</strong> Group.</p>
<p>Most parts of this distribution, including the core part of the <strong class="pkg">GAP</strong> system are distributed under the terms of the GNU General Public License Version 2, see <span class="URL"><a href="https://www.gnu.org/licenses/old-licenses/gpl-2.0.html">https://www.gnu.org/licenses/old-licenses/gpl-2.0.html</a></span> or the <code class="file">LICENSE</code> file in the root directory of the <strong class="pkg">GAP</strong> installation.</p>
<p>More detailed information about copyright and licenses of parts of this distribution can be found in Section <a href="chap1.html#X7950EFA183E3F666"><span class="RefLink">1.4</span></a> of this manual.</p>
<p><strong class="pkg">GAP</strong> has been developed over a long time and has many authors and contributors. More detailed information can be found in Section <a href="chap1.html#X877A62A1781C2147"><span class="RefLink">1.2</span></a> of this manual.</p>
<p><a id="X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8"></a></p>
<div class="contents">
<h3>Contents<a id="contents" name="contents"></a></h3>
<div class="ContChap"><a href="chap1.html#X874E1D45845007FE">1 <span class="Heading">Preface</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1.html#X863F306C7D32F4B0">1.1 <span class="Heading">The <strong class="pkg">GAP</strong> System</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1.html#X877A62A1781C2147">1.2 <span class="Heading">Authors and Maintainers</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1.html#X82A988D47DFAFCFA">1.3 <span class="Heading">Acknowledgements</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1.html#X7950EFA183E3F666">1.4 <span class="Heading">Copyright and License</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1.html#X7BF552C07E2F8F7C">1.5 <span class="Heading">Further Information about <strong class="pkg">GAP</strong></span></a>
</span>
</div>
</div>
<div class="ContChap"><a href="chap2.html#X8755A2C67B197C63">2 <span class="Heading">The Help System</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X7E2C53D2844DD8C3">2.1 <span class="Heading">Invoking the Help</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X7BE8068878B7D7D1">2.2 <span class="Heading">Browsing through the Sections</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X863FF9087EDA8DF9">2.3 <span class="Heading">Changing the Help Viewer</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X87C1BFB2826488B0">2.3-1 SetHelpViewer</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X84AFFC817B282359">2.4 <span class="Heading">The Pager Command</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X7ED03E41792C3840">2.4-1 Pager</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap3.html#X79CCD3A6821E5A37">3 <span class="Heading">Running GAP</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3.html#X782751D5858A6EAF">3.1 <span class="Heading">Command Line Options</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3.html#X7FD66F977A3B02DF">3.2 <span class="Heading">The gap.ini and gaprc files</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3.html#X87DF11C885E73583">3.2-1 <span class="Heading">The gap.ini file</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3.html#X84D4CF587D437C00">3.2-2 <span class="Heading">The gaprc file</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3.html#X7B0AD104839B6C3C">3.2-3 <span class="Heading">Configuring User preferences</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3.html#X7F1DF6757B248014">3.2-4 DeclareUserPreference</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3.html#X870A11E7864F9CA7">3.2-5 <span class="Heading">User Preferences Defined by <strong class="pkg">GAP</strong></span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3.html#X7CB282757ACB1C09">3.3 <span class="Heading">Saving and Loading a Workspace</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3.html#X876544A57C73C488">3.3-1 SaveWorkspace</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3.html#X83BF07587F2CC6CD">3.4 <span class="Heading">Testing for the System Architecture</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3.html#X7C825AF087A27884">3.4-1 ARCH_IS_UNIX</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3.html#X82A6893A7EC8FA72">3.4-2 ARCH_IS_MAC_OS_X</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3.html#X7A14B659847B8627">3.4-3 ARCH_IS_WINDOWS</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3.html#X87E7CC3B8395BBB3">3.4-4 ARCH_IS_WSL</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3.html#X8719B2118511645F">3.5 <span class="Heading">Global Values that Control the <strong class="pkg">GAP</strong> Session</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3.html#X8354754E7935F935">3.5-1 GAPInfo</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3.html#X818F2DDC863C381E">3.6 <span class="Heading">Coloring the Prompt and Input</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3.html#X84F3481C8466C7FC">3.6-1 ColorPrompt</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap4.html#X7FE7C0C17E1ED118">4 <span class="Heading">The Programming Language</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X7B5FF6827DFBDF20">4.1 <span class="Heading">Language Overview</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X80A85A707B6F4BE7">4.2 <span class="Heading">Lexical Structure</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X7E90E6607F4E4943">4.3 <span class="Heading">Symbols</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X7C53CEFC8641B919">4.4 <span class="Heading">Whitespaces</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X87506BDC7D5F789E">4.5 <span class="Heading">Keywords</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X860313A179A5163F">4.6 <span class="Heading">Identifiers</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X85CF993B7D19F2C4">4.6-1 IsValidIdentifier</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X839A7F8E84BBCA57">4.6-2 <span class="Heading">Conventions about Identifiers</span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X7BAFE9C1817253C6">4.7 <span class="Heading">Expressions</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X7A4C2D0E7E286B4F">4.8 <span class="Heading">Variables</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X842B89D4860FD5DB">4.8-1 IsBound</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7BABB3E77F52626C">4.8-2 Unbind</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X816FBEEA85782EC2">4.9 <span class="Heading">More About Global Variables</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7CD3523B84744EB2">4.9-1 IsReadOnlyGlobal</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X850CE44478254F27">4.9-2 MakeReadOnlyGlobal</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X832AAF13861968BE">4.9-3 MakeReadWriteGlobal</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X847706237E72418F">4.9-4 MakeConstantGlobal</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X84BB4B1E872849FF">4.9-5 ValueGlobal</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X823D4BC378395B32">4.9-6 IsBoundGlobal</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X829A5F0E811F77D3">4.9-7 UnbindGlobal</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7D39D3E17CF49F5B">4.9-8 BindGlobal</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X876A6EB68745A510">4.9-9 NamesGVars</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7E604AF579A7BC92">4.9-10 NamesSystemGVars</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X870169447AF490D8">4.9-11 NamesUserGVars</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X7DF8774F7D542298">4.10 <span class="Heading">Namespaces for <strong class="pkg">GAP</strong> packages</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X815F71EA7BC0EB6F">4.11 <span class="Heading">Function</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X78C70489791FDF43">4.12 <span class="Heading">Function Calls</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X80B93A9C7E0A57F4">4.12-1 <span class="Heading">Function Call With Arguments</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X867D54987EF86D1D">4.12-2 <span class="Heading">Function Call With Options</span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X7A274A1F8553B7E6">4.13 <span class="Heading">Comparisons</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X7B66C8707B5DE10A">4.14 <span class="Heading">Arithmetic Operators</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X8543285D87361BE6">4.15 <span class="Heading">Statements</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7E6A50307F4D3FAE">4.15-1 <span class="Heading">Assignments</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X825803DE78251DA6">4.15-2 <span class="Heading">Procedure Calls</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X875000188622700D">4.15-3 <span class="Heading">If</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X87AA46408783383F">4.15-4 <span class="Heading">While</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X8295CBF47FAA05C9">4.15-5 <span class="Heading">Repeat</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X78783E777867638A">4.15-6 <span class="Heading">For</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7B60C6127E183021">4.15-7 <span class="Heading">Break</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X7CCBA2247AA366BD">4.15-8 <span class="Heading">Continue</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X812C6ABC7A182E9E">4.15-9 <span class="Heading">Return (With or without Value)</span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4.html#X8732D9257FFCEA1B">4.16 <span class="Heading">Syntax Trees</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4.html#X81558D66810BEA67">4.16-1 SyntaxTree</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap5.html#X86FA580F8055B274">5 <span class="Heading">Functions</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5.html#X870553EF8605792F">5.1 <span class="Heading">Information about a function</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X79C3BDC4781FA0FD">5.1-1 NameFunction</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X877F03F77FD74C98">5.1-2 NumberArgumentsFunction</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X818BAB817A4FB346">5.1-3 NamesLocalVariablesFunction</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X80E108C57F90FAA3">5.1-4 FilenameFunc</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X7FF7643781D2C194">5.1-5 StartlineFunc</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X844F95767C74834F">5.1-6 LocationFunc</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X845A929B83D46E01">5.1-7 PageSource</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5.html#X851B58408520700D">5.2 <span class="Heading">Calling a function with a list argument that is interpreted as
several arguments</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X7CF4DDB97D65AE52">5.2-1 CallFuncList</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5.html#X83066E5A80B5FB71">5.3 <span class="Heading">Wrapping a function, so the values produced are cached</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X817ED3B280A64601">5.3-1 MemoizePosIntFunction</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5.html#X7EB0A85F7D128BE0">5.4 <span class="Heading">Functions that do nothing</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X7DB422A2876CCC4D">5.4-1 ReturnTrue</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X7C131FB17D7518FC">5.4-2 ReturnFalse</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X7A0994DE7C258E55">5.4-3 ReturnFail</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X818EA8C47B46A634">5.4-4 ReturnNothing</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X8788D7D780FCE169">5.4-5 ReturnFirst</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X810325697BDEF899">5.4-6 IdFunc</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5.html#X80FE39D27CE3DE1B">5.5 <span class="Heading">Function Types</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X85E40340806C2B8C">5.5-1 IsFunction</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5.html#X87838FE885A9AAF9">5.5-2 FunctionsFamily</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5.html#X81F732457F7BC851">5.6 <span class="Heading">Naming Conventions</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5.html#X7A1721CD79F08E71">5.7 <span class="Heading">Code annotations (pragmas)</span></a>
</span>
</div>
</div>
<div class="ContChap"><a href="chap6.html#X7DB71A2A841CADA5">6 <span class="Heading">Main Loop and Break Loop</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6.html#X81667F568237B232">6.1 <span class="Heading">Main Loop</span></a>
</span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6.html#X866092F281910B74">6.2 <span class="Heading">Special Rules for Input Lines</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6.html#X8074A8387C9DB9A8">6.3 <span class="Heading">View and Print</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X8082880F824292E9">6.3-1 <span class="Heading">Default delegations in the library</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X87D445D37B31DADB">6.3-2 <span class="Heading">Recommendations for the implementation</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X851902C583B84CDC">6.3-3 View</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X7AFA64D97A1F39A3">6.3-4 Print</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X815BF22186FD43C9">6.3-5 ViewObj</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X83A5C59278E13248">6.3-6 Display</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X87E546E27A1F1FAB">6.3-7 SetNameObject</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6.html#X8593B49F8705B486">6.4 <span class="Heading">Break Loops</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X83033EEB81CF4F49">6.4-1 <span class="Heading">quit from a break loop</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X7A388B808167FE09">6.4-2 <span class="Heading">return from a break loop</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X82EBF01181C3C859">6.4-3 OnBreak</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X80711C807C99C220">6.4-4 OnBreakMessage</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X7A7FFA2B7C1EF5A3">6.4-5 Where</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6.html#X7EE5CF2C8419F061">6.5 <span class="Heading">Variable Access in a Break Loop</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X79E66DA2875303B0">6.5-1 <span class="Heading">DownEnv and UpEnv</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6.html#X7BC8D2E37ADE9062">6.6 <span class="Heading">Error and ErrorCount</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X7E7AD8D87EBA1A08">6.6-1 Error</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X7A5C000D7E4984DD">6.6-2 ErrorNoReturn</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X86A11BCC7FECEEA4">6.6-3 ErrorCount</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6.html#X83704B1080FD9B40">6.7 <span class="Heading">Leaving GAP</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X7ECC75048583853B">6.7-1 QUIT</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X838B50A9790DE55B">6.7-2 GapExitCode</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X7AB1567987922580">6.7-3 QuitGap</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X85A8DD6B7A20DD89">6.7-4 ForceQuitGap</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X7A2C380986F46FEE">6.7-5 InstallAtExit</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X843C07A4869EAA1D">6.7-6 SaveOnExitFile</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6.html#X82234FD181899530">6.8 <span class="Heading">Line Editing</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6.html#X7AD8D65F7BA1C3E0">6.9 <span class="Heading">Editing using the <code class="code">readline</code> library</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X7C38F9E0783D9442">6.9-1 <span class="Heading">Readline customization</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X846C3DED84AD7593">6.9-2 <span class="Heading">The command line history</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X7C1F4D04861C1197">6.9-3 SaveCommandLineHistory</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X87D4EA197A263FB7">6.9-4 <span class="Heading">Writing your own command line editing functions</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6.html#X7D8E1CF47E97A764">6.10 <span class="Heading">Editing Files</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X82E5859C8113BA4D">6.10-1 Edit</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6.html#X7B67FF1E87FE67D1">6.11 <span class="Heading">Editor Support</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6.html#X83279E897ACCFFFA">6.12 <span class="Heading">Changing the Screen Size</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X8723E0A1837894F3">6.12-1 SizeScreen</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6.html#X87847E5087D6F47D">6.13 <span class="Heading">Teaching Mode</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6.html#X7BE2515F82425404">6.13-1 TeachingMode</a></span>
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<div class="ContChap"><a href="chap7.html#X8345F6817DFD6394">7 <span class="Heading">Debugging and Profiling Facilities</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7.html#X83C45B0A797AAF96">7.1 <span class="Heading">Recovery from NoMethodFound-Errors</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X86B5FEC67A9394DC">7.1-1 ShowArguments</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X834BD9928773DCC1">7.1-2 ShowArgument</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7D25D904800D5CBA">7.1-3 ShowDetails</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7F6996CA872478B8">7.1-4 ShowMethods</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7E5E2E7B85029E34">7.1-5 ShowOtherMethods</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7.html#X7FDA1D4B87BD25A8">7.2 <span class="Heading">Inspecting Applicable Methods</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X80848FF486BD6F9F">7.2-1 ApplicableMethod</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7.html#X7D43A2D885B37739">7.3 <span class="Heading">Tracing Methods</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X80B044017C9E4137">7.3-1 TraceMethods</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7D34CADB813A4AF1">7.3-2 TraceAllMethods</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7EB04D387C53E4C1">7.3-3 UntraceMethods</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7B3018AA82D55949">7.3-4 UntraceAllMethods</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X81078D3387A38E31">7.3-5 TraceImmediateMethods</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X81B000CF86BA1534">7.3-6 TraceInternalMethods</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7.html#X7A9C902479CB6F7C">7.4 <span class="Heading">Info Functions</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7AA1A1CF79F20790">7.4-1 NewInfoClass</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7B3709C584B3DA1E">7.4-2 DeclareInfoClass</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7A43B9E68765EE9E">7.4-3 SetInfoLevel</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7B2ADC37783104B9">7.4-4 InfoLevel</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7BA636EF80A1435A">7.4-5 ShowUsedInfoClasses</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X864E4B6886E2697D">7.4-6 Info</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X800234B5815CAC97">7.4-7 <span class="Heading">Customizing <code class="func">Info</code> (<a href="chap7.html#X864E4B6886E2697D"><span class="RefLink">7.4-6</span></a>) statements</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7A28F77C82D6A3E0">7.4-8 InfoWarning</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7.html#X86425F067FC63A4C">7.5 <span class="Heading">Assertions</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7C7596418423660B">7.5-1 SetAssertionLevel</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X876C83707F13A0FD">7.5-2 AssertionLevel</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X830E443284780FB9">7.5-3 Assert</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7.html#X792BA9A67E64CDED">7.6 <span class="Heading">Timing</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X80355C9282B35673">7.6-1 Runtimes</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7E32B27F81870D24">7.6-2 Runtime</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X844E1CFE80F41760">7.6-3 NanosecondsSinceEpoch</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7C0F91F982189624">7.6-4 time</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7B543F357C7202CF">7.6-5 Sleep</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7.html#X844CB04081A771FB">7.7 <span class="Heading">Tracking Memory Usage</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X8077B50B844C4EFC">7.7-1 TotalMemoryAllocated</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X8156D7208591460F">7.7-2 memory_allocated</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7.html#X7FDF923D7D2937A1">7.8 <span class="Heading">Profiling</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7939F6F182FDA5F1">7.8-1 <span class="Heading">Function Profiling</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X79D6CB927BBEB940">7.8-2 ProfileGlobalFunctions</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7C893F68841B990B">7.8-3 ProfileOperations</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X79D41E977DCA2BEE">7.8-4 ProfileOperationsAndMethods</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X81E8A8627C34FD3B">7.8-5 ProfileFunctions</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X79D394EC7BE8D008">7.8-6 UnprofileFunctions</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X787AC3BE7F991344">7.8-7 ProfileMethods</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X87A05F977F033693">7.8-8 UnprofileMethods</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X80FEA6A08775A48E">7.8-9 DisplayProfile</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7DAF9AB9793AE203">7.8-10 ClearProfile</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7C5CE32579891120">7.8-11 <span class="Heading">An Example of Function Profiling</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X812F9CE0817110EA">7.8-12 <span class="Heading">Line By Line Profiling</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7E9C65B17B8EF993">7.8-13 <span class="Heading">Line by Line profiling example</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X86557887796F66FA">7.8-14 ProfileLineByLine</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X87CC48807DB4C008">7.8-15 CoverageLineByLine</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7C5DED9C7CC77504">7.8-16 UnprofileLineByLine</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7B705B2D8670A9C5">7.8-17 UncoverageLineByLine</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7823C83D79B36D3B">7.8-18 IsLineByLineProfileActive</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X83D8A42B7BB92F5B">7.8-19 DisplayCacheStats</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X79C58704838232CC">7.8-20 ClearCacheStats</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7.html#X7EE874867C0BEEDD">7.9 <span class="Heading">Information about the version used</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7.html#X801051CC86594630">7.10 <span class="Heading">Test Files</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X8213757B7ACC76E6">7.10-1 <span class="Heading">Starting and stopping test</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X87712F9D8732193C">7.10-2 Test</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X87AF67528799481F">7.10-3 TestDirectory</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7.html#X85FF55448787CCA0">7.11 <span class="Heading">Debugging Recursion</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7D8968FC7E24A4E5">7.11-1 SetRecursionTrapInterval</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7.html#X85679F17791D9B63">7.12 <span class="Heading">Global Memory Information</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7F1F741D7F0899D1">7.12-1 <span class="Heading">Garbage Collection</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X7848AB367F3A1221">7.12-2 CollectGarbage</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X836977DE80416F3D">7.12-3 GasmanStatistics</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X85327FA5872E0356">7.12-4 GasmanMessageStatus</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7.html#X80C683247E94769F">7.12-5 GasmanLimits</a></span>
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<div class="ContChap"><a href="chap8.html#X7FD84061873F72A2">8 <span class="Heading">Options Stack</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap8.html#X794C5B5A80203CF9">8.1 <span class="Heading">Functions Dealing with the Options Stack</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8.html#X7D4939FF7FB37FBE">8.1-1 PushOptions</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8.html#X7818A5278679FD43">8.1-2 PopOptions</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8.html#X83D1190984DA3B85">8.1-3 ResetOptionsStack</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8.html#X78D87D1081BF99FE">8.1-4 OnQuit</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8.html#X7F9373AD7DB88D1F">8.1-5 ValueOption</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8.html#X7EDA4EB67D43FE33">8.1-6 DisplayOptionsStack</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8.html#X832F41187B150C19">8.1-7 InfoOptions</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap8.html#X7BB781647CAAE9B4">8.2 <span class="Heading">Options Stack – an Example</span></a>
</span>
</div>
</div>
<div class="ContChap"><a href="chap9.html#X82BCD4297920C903">9 <span class="Heading">Files and Filenames</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap9.html#X83D8AAA484EE95D9">9.1 <span class="Heading">Portability</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X87D278437A916905">9.1-1 LastSystemError</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap9.html#X7A4973627A5DB27D">9.2 <span class="Heading">GAP Root Directories</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap9.html#X8223D52E78AF4420">9.3 <span class="Heading">GAP Package Directories</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap9.html#X85030B35865A1080">9.4 <span class="Heading">Directories</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X82B3E24683942597">9.4-1 IsDirectory</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X86A71E927EEC7EAD">9.4-2 Directory</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X8222B1A886E6195E">9.4-3 DirectoryTemporary</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X7BAD8036849E8430">9.4-4 DirectoryCurrent</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X81DDD2E87F68E086">9.4-5 ChangeDirectoryCurrent</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X87ED469A85343A3C">9.4-6 DirectoriesLibrary</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X808E2C187DD984B4">9.4-7 DirectoriesSystemPrograms</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X7B225E5282534EDA">9.4-8 DirectoryContents</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X86F4A32C83B82369">9.4-9 DirectoryDesktop</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X7B0D818A808A3481">9.4-10 DirectoryHome</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap9.html#X8545E03E7D651456">9.5 <span class="Heading">File Names</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X7E352E1F87060602">9.5-1 <span class="Heading">Filename</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X86C7683E7A2A2146">9.5-2 PathSystemProgram</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap9.html#X85EC7D9087C481B0">9.6 <span class="Heading">Special Filenames</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap9.html#X87271FEF86A6A0F9">9.7 <span class="Heading">File Access</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X8269697A7B927AF1">9.7-1 IsExistingFile</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X7E156EC886E11BBC">9.7-2 IsReadableFile</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X8412F485796B25F5">9.7-3 IsWritableFile</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X83A1AAD58435FC4C">9.7-4 IsExecutableFile</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X7D1BE00F83C4EEE8">9.7-5 IsDirectoryPath</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap9.html#X81A0A4FF842B039B">9.8 <span class="Heading">File Operations</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X8373AC6B7D5F9167">9.8-1 Read</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X7824CB7D7D4BAFBC">9.8-2 ReadAsFunction</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X86956C577FFEE1F9">9.8-3 <span class="Heading">PrintTo and AppendTo</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X79813A6686894960">9.8-4 <span class="Heading">LogTo</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X7CAB119378B075B7">9.8-5 <span class="Heading">InputLogTo</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X7A5591D87EAFA6CC">9.8-6 <span class="Heading">OutputLogTo</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X8241CEAD80415BB9">9.8-7 CrcFile</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X7E63ACA38142BE96">9.8-8 RemoveFile</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X83F3B0337C7EA5CC">9.8-9 UserHomeExpand</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9.html#X79EE267A7FAF28A6">9.8-10 Reread</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap10.html#X839725177BF8B5B4">10 <span class="Heading">Streams</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10.html#X7F89070B7CF52DE0">10.1 <span class="Heading">Categories for Streams and the StreamsFamily</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7E974B96785E91A8">10.1-1 IsStream</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7FE4096F8497B7F2">10.1-2 IsClosedStream</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7FB4391283847C3A">10.1-3 IsInputStream</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7C8956BB7FE2A89C">10.1-4 IsInputTextStream</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7DCD6ADC86CF2472">10.1-5 IsInputTextNone</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7D357CA07E7B1E78">10.1-6 IsOutputStream</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X8248B8A4844CB8AB">10.1-7 IsOutputTextStream</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7C89CDD47E33E741">10.1-8 IsOutputTextNone</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7F0F9DD47DE16DAB">10.1-9 StreamsFamily</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10.html#X8461F4DF7FC20C4B">10.2 <span class="Heading">Operations applicable to All Streams</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X786E5520803FDE00">10.2-1 CloseStream</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7F0459287E717456">10.2-2 FileDescriptorOfStream</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X87BC257A78F96828">10.2-3 UNIXSelect</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10.html#X7D1D33A587BFD93D">10.3 <span class="Heading">Operations for Input Streams</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7A5DC83D7E295568">10.3-1 Read</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7D62F2877F0E45A7">10.3-2 ReadAsFunction</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X79E1E6A57AE58BB8">10.3-3 ReadByte</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7D2CA44C7D110C4F">10.3-4 ReadLine</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X85C603D7867430D0">10.3-5 ReadAll</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X81D4FB097F631A79">10.3-6 IsEndOfStream</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7B646FA3860521D1">10.3-7 PositionStream</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7A777E1186EB330B">10.3-8 RewindStream</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7A60AD8C7E0D0507">10.3-9 SeekPositionStream</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10.html#X7F454EB286947C85">10.4 <span class="Heading">Operations for Output Streams</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7D37C7A07E9C319C">10.4-1 WriteByte</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X79FA85498596CC99">10.4-2 WriteLine</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X78C113917936058D">10.4-3 WriteAll</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7F4E090C86AACCF7">10.4-4 <span class="Heading">PrintTo and AppendTo (for streams)</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7BF4E44C7D51E085">10.4-5 LogTo</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7B843516796B2A18">10.4-6 InputLogTo</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X834A6DD17B0E2062">10.4-7 OutputLogTo</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X8663FCD57E8BC390">10.4-8 SetPrintFormattingStatus</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10.html#X80B5F2E4856D8980">10.5 <span class="Heading">File Streams</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X8343D04981128784">10.5-1 InputTextFile</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X83F53291822B7126">10.5-2 OutputTextFile</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10.html#X808348977A05477A">10.6 <span class="Heading">User Streams</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X83531E4C7C53544F">10.6-1 InputTextUser</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X83E5FC9487766297">10.6-2 OutputTextUser</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7DAF5B7085F4F893">10.6-3 InputFromUser</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10.html#X8028E1D87CE2F059">10.7 <span class="Heading">String Streams</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7ABABCDF7ED81F7F">10.7-1 InputTextString</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7FEDA5167979B74D">10.7-2 OutputTextString</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10.html#X8563EF8387236417">10.8 <span class="Heading">Input-Output Streams</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X82822D3D8339F635">10.8-1 IsInputOutputStream</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X820799A3824684AC">10.8-2 InputOutputLocalProcess</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7CDF48447E823977">10.8-3 ReadAllLine</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10.html#X8724699C7D67BA47">10.9 <span class="Heading">Dummy Streams</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7C732324806716C6">10.9-1 InputTextNone</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X7CC5C1FC81715E38">10.9-2 OutputTextNone</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10.html#X7CB5832F8721ADF3">10.10 <span class="Heading">Handling of Streams in the Background</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X81FB42517E3EA96D">10.10-1 InstallCharReadHookFunc</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X8492474C7A0B10AD">10.10-2 UnInstallCharReadHookFunc</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10.html#X848DD7DC79363341">10.11 <span class="Heading">Comma separated files</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X86FDC1EF82CAD2DA">10.11-1 ReadCSV</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X8779DAC585E05A47">10.11-2 PrintCSV</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10.html#X87396F857ADA3F97">10.12 <span class="Heading">Opening files in the Operating System</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10.html#X86B98E287AD42BE8">10.12-1 OpenExternal</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap11.html#X7882133B7BDD51BC">11 <span class="Heading">Processes</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap11.html#X8390266186E61CCE">11.1 <span class="Heading">Process and Exec</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11.html#X7B09033178D1107A">11.1-1 Process</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11.html#X81402C91833986FC">11.1-2 Exec</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap12.html#X86710F997832ABA4">12 <span class="Heading">Objects and Elements</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap12.html#X78497E777FB3E402">12.1 <span class="Heading">Objects</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12.html#X7B130AC98415CAFB">12.1-1 IsObject</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap12.html#X780C66027A49D110">12.2 <span class="Heading">Elements as equivalence classes</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap12.html#X83BE0C20875DD285">12.3 <span class="Heading">Sets</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap12.html#X7BAF69417BB925F6">12.4 <span class="Heading">Domains</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap12.html#X84545F3985C60F5B">12.5 <span class="Heading">Identical Objects</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12.html#X7961183378DFB902">12.5-1 IsIdenticalObj</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12.html#X811976EC78EC5E29">12.5-2 IsNotIdenticalObj</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap12.html#X7F0C119682196D65">12.6 <span class="Heading">Mutability and Copyability</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12.html#X811EFD727EBD1ADC">12.6-1 IsCopyable</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12.html#X7999AD1D7A4F1F46">12.6-2 IsMutable</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12.html#X7F0ABF2C870B0CBB">12.6-3 Immutable</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12.html#X80CE136D804097C7">12.6-4 MakeImmutable</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12.html#X7FBA5F4D7C6872BD">12.6-5 <span class="Heading">Mutability of Iterators</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12.html#X7ADB82997A16E853">12.6-6 <span class="Heading">Mutability of Results of Arithmetic Operations</span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap12.html#X786B942B82D684BD">12.7 <span class="Heading">Duplication of Objects</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12.html#X846BC7107C352031">12.7-1 ShallowCopy</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12.html#X7C1E70587EBDD2CB">12.7-2 StructuralCopy</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap12.html#X86E7193D848C53FC">12.8 <span class="Heading">Other Operations Applicable to any Object</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12.html#X85D6D47B83BD02A1">12.8-1 SetName</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12.html#X7F14EF9D81432113">12.8-2 Name</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12.html#X871562FD7F982C12">12.8-3 InfoText</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12.html#X7F6C5C3287E8B816">12.8-4 IsInternallyConsistent</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12.html#X7F4D216B7DF7BE9D">12.8-5 MemoryUsage</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap13.html#X7E8202627B421DB1">13 <span class="Heading">Types of Objects</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap13.html#X846063757EC05986">13.1 <span class="Heading">Families</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7CF70EAC84284919">13.1-1 FamilyObj</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7FB4123E7E22137D">13.1-2 NewFamily</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap13.html#X84EFA4C07D4277BB">13.2 <span class="Heading">Filters</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X82E62B997C05E05E">13.2-1 RankFilter</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7A78ECC67E2C9D78">13.2-2 NamesFilter</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7F6645D87DD26CF0">13.2-3 FilterByName</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7F9568A67F3840DE">13.2-4 ShowImpliedFilters</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X836FAA18861BE387">13.2-5 FiltersType</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap13.html#X7CC6903E78F24167">13.3 <span class="Heading">Categories</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X792A23BF82BDF66B">13.3-1 IsCategory</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X85C6EB707A406A5A">13.3-2 CategoriesOfObject</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X85D07C3E7F4D4043">13.3-3 CategoryByName</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X87F68F887B44DBBD">13.3-4 NewCategory</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X879DE2A17A6C6E92">13.3-5 DeclareCategory</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X787BACEE7937EF01">13.3-6 CategoryFamily</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap13.html#X8698205F8648EB33">13.4 <span class="Heading">Representation</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X805F1C3B7C730062">13.4-1 <span class="Heading">Basic Representations of Objects</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X86D42C7783ACA5F4">13.4-2 IsRepresentation</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7BBE93BE7977750F">13.4-3 RepresentationsOfObject</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7CC8106F809E15CF">13.4-4 NewRepresentation</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7C81FB2682AE54CD">13.4-5 DeclareRepresentation</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap13.html#X7C701DBF7BAE649A">13.5 <span class="Heading">Attributes</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7973C8F4782D15A1">13.5-1 IsAttribute</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7F7960338163AA88">13.5-2 KnownAttributesOfObject</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7B9654807858A3B0">13.5-3 NewAttribute</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7A00FC8A7A677A56">13.5-4 DeclareAttribute</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7A951C33839AF2C1">13.5-5 IsAttributeStoringRep</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap13.html#X79DE5208877AE42A">13.6 <span class="Heading">Setter and Tester for Attributes</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X87D5B5AC7DAF932D">13.6-1 Tester</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7FD8952C841D2B1F">13.6-2 Setter</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X8529F8A17884A32C">13.6-3 AttributeValueNotSet</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X79120CE37BB69D11">13.6-4 InfoAttributes</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7851E2DB79656DB0">13.6-5 DisableAttributeValueStoring</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7E5DACBE7A9A9AD1">13.6-6 EnableAttributeValueStoring</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap13.html#X871597447BB998A1">13.7 <span class="Heading">Properties</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X81F1C3EE83003FA0">13.7-1 IsProperty</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7E51C08286E03E7F">13.7-2 KnownPropertiesOfObject</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X86711BC77B62EB02">13.7-3 KnownTruePropertiesOfObject</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7F2D6FD979FE23DD">13.7-4 NewProperty</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7F4602F082682A04">13.7-5 DeclareProperty</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap13.html#X7997705185C7E720">13.8 <span class="Heading">Other Filters</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X821635DA7821ED74">13.8-1 NewFilter</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X846EA18A7D36626C">13.8-2 DeclareFilter</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7C92D53E7920CE02">13.8-3 SetFilterObj</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X8117FD03870FB02E">13.8-4 ResetFilterObj</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap13.html#X7E340B8C833BC440">13.9 <span class="Heading">Types</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7D3E6B6482BE5B16">13.9-1 TypeObj</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X85A60A7F8083C1C4">13.9-2 DataType</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13.html#X7CE39E9478AEC826">13.9-3 NewType</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap14.html#X853DF11B80068ED5">14 <span class="Heading">Integers</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap14.html#X838230CE810107A3">14.1 <span class="Heading">Integers: Global Variables</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X7E20D82B79DE5129">14.1-1 Integers</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X818683B17F8C97F3">14.1-2 IsIntegers</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap14.html#X80CF510B8080C7CA">14.2 <span class="Heading">Elementary Operations for Integers</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X87AEADF07DC8303B">14.2-1 IsInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X82A854757DFA9C76">14.2-2 IsPosInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X87CA734380B5F68C">14.2-3 Int</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X87DD1EEE7EF18036">14.2-4 IsEvenInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X8621BA927CD12EFB">14.2-5 IsOddInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X782095927FB9F1DB">14.2-6 AbsInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X842614817FE48D62">14.2-7 SignInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X8197C4E882BAF14E">14.2-8 LogInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X83D9B5C87EEA2A77">14.2-9 RootInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X7F98A0CE7B9FD366">14.2-10 SmallestRootInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X83B998E486893FED">14.2-11 IsSquareInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X862D1BD786EFFDA9">14.2-12 ListOfDigits</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X8185784B7E228DEA">14.2-13 Random</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap14.html#X7A9FD25D81D88D1B">14.3 <span class="Heading">Quotients and Remainders</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X849D0F807F697D35">14.3-1 QuoInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X795170A385AC8FEE">14.3-2 BestQuoInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X805ADD5A826D844D">14.3-3 RemInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X7A4FEFCA8128E3C3">14.3-4 GcdInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X8775930486BD0C5B">14.3-5 Gcdex</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X7B33143E78A8DDE3">14.3-6 LcmInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X79B466E984CD52D4">14.3-7 CoefficientsQadic</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X83124F86839DC7E6">14.3-8 CoefficientsMultiadic</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X84A1900E82902B5F">14.3-9 ChineseRem</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X7E404B1183DBC82A">14.3-10 PowerModInt</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap14.html#X82005E587F0CB02A">14.4 <span class="Heading">Prime Integers and Factorization</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X86F5E4CD82FEB9F4">14.4-1 Primes</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X78FDA4437EDCA70C">14.4-2 IsPrimeInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X7CD977B17B4A7A4B">14.4-3 PrimalityProof</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X8443125D7FD6F2A6">14.4-4 IsPrimePowerInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X78744C367A94C69F">14.4-5 NextPrimeInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X819060E17E83728A">14.4-6 PrevPrimeInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X82C989DB84744B36">14.4-7 FactorsInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X80E7A5D381C64CC9">14.4-8 PrimeDivisors</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X786FF92C7C54BF97">14.4-9 PartialFactorization</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X803D431087B6FF28">14.4-10 PrintFactorsInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X82148B347E294C87">14.4-11 PrimePowersInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X809E0E1B83AF7695">14.4-12 DivisorsInt</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap14.html#X864BF040862409FC">14.5 <span class="Heading">Residue Class Rings</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X87B1210B8581D5B2"><code>14.5-1 \mod</code></a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X79CE76AD82B3E2B2">14.5-2 ZmodnZ</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X838F36507D985EDA">14.5-3 ZmodnZObj</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X7D0107DD79753901">14.5-4 IsZmodnZObj</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap14.html#X7904B6D681EBF091">14.6 <span class="Heading">Check Digits</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X82BABA8F868BD425">14.6-1 CheckDigitISBN</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X85F1A6A5870485B9">14.6-2 CheckDigitTestFunction</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap14.html#X85361FAE8088C006">14.7 <span class="Heading">Random Sources</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X82E31A697E389F1D">14.7-1 IsRandomSource</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X821004F286282D49">14.7-2 Random</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X86FFFBC9790F9742">14.7-3 <span class="Heading">State and Reset for Random Sources</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X7AC96008820FAF1F">14.7-4 <span class="Heading">Kinds of Random Sources</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X7CB0B5BC82F8FD8F">14.7-5 RandomSource</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X8653AE447D94C1DC">14.7-6 <span class="Heading">Implementing new kinds of random sources</span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap14.html#X7A0311DF78DB4FD8">14.8 <span class="Heading">Bitfields</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X85C7BD9E7FCC6C10">14.8-1 MakeBitfields</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14.html#X8068CE3781F4003C">14.8-2 BuildBitfields</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap15.html#X7FB995737B7ED8A2">15 <span class="Heading">Number Theory</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap15.html#X7845C1F97A1742C7">15.1 <span class="Heading">InfoNumtheor (Info Class)</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X796F0DFE7D5D211C">15.1-1 InfoNumtheor</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap15.html#X823386567DAC22E6">15.2 <span class="Heading">Prime Residues</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X7FA3F5347B7004BA">15.2-1 PrimeResidues</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X85A0C67982D9057A">15.2-2 Phi</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X85296F3087611B03">15.2-3 Lambda</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X7D191CF67E5018BE">15.2-4 GeneratorsPrimeResidues</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap15.html#X83103A5385821BAE">15.3 <span class="Heading">Primitive Roots and Discrete Logarithms</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X82373F3D8277EE9E">15.3-1 OrderMod</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X81AD9C7779A7BA89">15.3-2 LogMod</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X84A138947E8C49A8">15.3-3 DLog</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X82440BB9812FF148">15.3-4 PrimitiveRootMod</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X790466C07BD90E20">15.3-5 IsPrimitiveRootMod</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap15.html#X7F9069D77AC48054">15.4 <span class="Heading">Roots Modulo Integers</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X83449DBC80495971">15.4-1 Jacobi</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X81464ABF7F10E544">15.4-2 Legendre</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X83E3ED577B7A04ED">15.4-3 RootMod</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X84D3F03B862841F8">15.4-4 RootsMod</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X81F856E682A8ECBA">15.4-5 RootsUnityMod</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap15.html#X7B3A5A0378A32F83">15.5 <span class="Heading">Multiplicative Arithmetic Functions</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X823707DF821E79A0">15.5-1 Sigma</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X798C62847EE0372E">15.5-2 Tau</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X79C1DA36827C2959">15.5-3 MoebiusMu</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap15.html#X7B2E061C835159B9">15.6 <span class="Heading">Continued Fractions</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X874C161B83416092">15.6-1 ContinuedFractionExpansionOfRoot</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X8059667580A039A6">15.6-2 ContinuedFractionApproximationOfRoot</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap15.html#X7C5563A37D566DA5">15.7 <span class="Heading">Miscellaneous</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X8243EAA586D78ED4">15.7-1 PValuation</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap15.html#X85E1EFC484F648A4">15.7-2 TwoSquares</a></span>
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</div>
<div class="ContChap"><a href="chap16.html#X7BDA99EE7CEADA7C">16 <span class="Heading">Combinatorics</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap16.html#X800E48927D5C83F5">16.1 <span class="Heading">Combinatorial Numbers</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X87665F748594BF29">16.1-1 Factorial</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7A9AF5F58682819D">16.1-2 Binomial</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7DC5667580522BDA">16.1-3 Bell</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X792FF6EA786A5C2B">16.1-4 Bernoulli</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X85037456785BB33C">16.1-5 Stirling1</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7C93E14D7BC360F0">16.1-6 Stirling2</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap16.html#X81B4696585C38147">16.2 <span class="Heading">Combinations, Arrangements and Tuples</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X8770F16D794C0ADB">16.2-1 Combinations</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X78DD5C0D81057540">16.2-2 <span class="Heading">Iterator and enumerator of combinations</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X82A6E98C85714FD0">16.2-3 NrCombinations</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7837B3357C7566C8">16.2-4 Arrangements</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7DE1ABD47D19F140">16.2-5 NrArrangements</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X81601C6786120DDC">16.2-6 UnorderedTuples</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7959281584C42C52">16.2-7 NrUnorderedTuples</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X86A3CA0F7CC8C320">16.2-8 Tuples</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7BA135297E8DA819">16.2-9 EnumeratorOfTuples</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X86416A31807B0086">16.2-10 IteratorOfTuples</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X85E18A9A87FD4CA2">16.2-11 NrTuples</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7B0143FB83F359B7">16.2-12 PermutationsList</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X8629A2908050EB3A">16.2-13 NrPermutationsList</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X79C159507B2BF1C9">16.2-14 Derangements</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7C1741B181A9AB9C">16.2-15 NrDerangements</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7A13D8DC8204525F">16.2-16 PartitionsSet</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7BCD7FC2876386F1">16.2-17 NrPartitionsSet</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X84A6D15F8107008B">16.2-18 Partitions</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X8793AEBD7E529E1D">16.2-19 IteratorOfPartitions</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7EBD746A8607D0B8">16.2-20 IteratorOfPartitionsSet</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X86933C4F795C4EBD">16.2-21 NrPartitions</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X820DF201871F2723">16.2-22 OrderedPartitions</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X80BB9F4982CA1E8B">16.2-23 NrOrderedPartitions</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X8009520C82942461">16.2-24 PartitionsGreatestLE</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7CB8D4FF8592A9BB">16.2-25 PartitionsGreatestEQ</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7A70D4F3809494E7">16.2-26 RestrictedPartitions</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X800B43838742FBF4">16.2-27 NrRestrictedPartitions</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7F4EDCCA780B469D">16.2-28 SignPartition</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7DB9BEB6856EC03D">16.2-29 AssociatedPartition</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7A95D8A6820363A8">16.2-30 PowerPartition</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X877D997B7F66A119">16.2-31 PartitionTuples</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7F44AD098561DE32">16.2-32 NrPartitionTuples</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X8796C1D783ED9CB4">16.2-33 BetaSet</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap16.html#X83DC50B67D74E674">16.3 <span class="Heading">Fibonacci and Lucas Sequences</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X85AE1D70803A886C">16.3-1 Fibonacci</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7830A03181D67192">16.3-2 Lucas</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap16.html#X821888E77EB43F67">16.4 <span class="Heading">Permanent of a Matrix</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap16.html#X7F0942DD83BBAB7A">16.4-1 Permanent</a></span>
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<div class="ContChap"><a href="chap17.html#X87003045878E74DF">17 <span class="Heading">Rational Numbers</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap17.html#X7A76497986DA921F">17.1 <span class="Heading">Rationals: Global Variables</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap17.html#X7B6029D18570C08A">17.1-1 Rationals</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap17.html#X826E2AA88679B3DF">17.2 <span class="Heading">Elementary Operations for Rationals</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap17.html#X7ED018F5794935F7">17.2-1 IsRat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap17.html#X7BD6E170840F045D">17.2-2 IsPosRat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap17.html#X81179AC87AC951A8">17.2-3 IsNegRat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap17.html#X7D830E7482E7F528">17.2-4 NumeratorRat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap17.html#X81F6B5877A81E727">17.2-5 DenominatorRat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap17.html#X7EB4C646806A2BDE">17.2-6 Rat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap17.html#X7C8F8693825C28A4">17.2-7 Random</a></span>
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<div class="ContChap"><a href="chap18.html#X7DFC03C187DE4841">18 <span class="Heading">Cyclotomic Numbers</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap18.html#X79E25C3085AA568F">18.1 <span class="Heading">Operations for Cyclotomics</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X8631458886314588">18.1-1 E</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X863D1E017BC9EB7F">18.1-2 Cyclotomics</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X841C425281A6F775">18.1-3 IsCyclotomic</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X869750DA81EA0E67">18.1-4 IsIntegralCyclotomic</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X7DD6B95F79321D23">18.1-5 Int</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X7CBA6CB678E2B143">18.1-6 String</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X815D6EC57CBA9827">18.1-7 Conductor</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X81DD58BB81FB3426">18.1-8 AbsoluteValue</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X7808ECF37AA9004D">18.1-9 RoundCyc</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X7AE2933985BE4C3E">18.1-10 CoeffsCyc</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X803478CA7D2D830F">18.1-11 DenominatorCyc</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X785F2CAB805DE1BE">18.1-12 ExtRepOfObj</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X7DDD51B983D5BC44">18.1-13 DescriptionOfRootOfUnity</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X8712419182ECD8DD">18.1-14 IsGaussInt</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X7E6CF4947D0A56F7">18.1-15 IsGaussRat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X7FE3D5637B5485D0">18.1-16 DefaultField</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap18.html#X7EE5FB7181125E02">18.2 <span class="Heading">Infinity and negative Infinity</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X8511B8DF83324C27">18.2-1 IsInfinity</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap18.html#X7F66A62384329705">18.3 <span class="Heading">Comparisons of Cyclotomics</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap18.html#X7B242083873DD74F">18.4 <span class="Heading">ATLAS Irrationalities</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X8414ED887AF36359">18.4-1 <span class="Heading">EB, EC, <span class="SimpleMath">...</span>, EH</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X813CF4327C4B4D29">18.4-2 <span class="Heading">EI and ER</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X8672D7F986CBA116">18.4-3 <span class="Heading">EY, EX, <span class="SimpleMath">...</span>, ES</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X7E5985FC846C5201">18.4-4 <span class="Heading">EM, EL, <span class="SimpleMath">...</span>, EJ</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X844F0EBF849EDEB3">18.4-5 NK</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X812E334E7A869D33">18.4-6 AtlasIrrationality</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap18.html#X79FE34337DF2CD10">18.5 <span class="Heading">Galois Conjugacy of Cyclotomics</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X79EE9097783128C4">18.5-1 GaloisCyc</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X7BE001A0811CD599">18.5-2 ComplexConjugate</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X7E361C057E97CA66">18.5-3 StarCyc</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X84438F867B0CC299">18.5-4 Quadratic</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X7DDDEC3F80543B7D">18.5-5 GaloisMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X7BB9F5957AA8C082">18.5-6 RationalizedMat</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap18.html#X8557FC2D7ACD6105">18.6 <span class="Heading">Internally Represented Cyclotomics</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap18.html#X7D3028777DE39709">18.6-1 SetCyclotomicsLimit</a></span>
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<div class="ContChap"><a href="chap19.html#X81AA901181CA568F">19 <span class="Heading">Floats</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap19.html#X7B4092CA7ABB93B0">19.1 <span class="Heading">A sample run</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap19.html#X8606FDCE878850EF">19.2 <span class="Heading">Methods</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X86D5EA93813FB6C4">19.2-1 <span class="Heading">Float creators</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X7BCD34DC7B5A0521">19.2-2 Rat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X7D1EAE11844625F4">19.2-3 Cyc</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X7A962B0983FA66E8">19.2-4 SetFloats</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X819050BF8403806E">19.2-5 FLOAT</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X7BD96E0585D5A1EE">19.2-6 EqFloat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X7B3133497DDE839B">19.2-7 PrecisionFloat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X801753137949DD78">19.2-8 SignBit</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X7935C65D7B0F47C7">19.2-9 SinCos</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X846E1196844B9E11">19.2-10 Atan2</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X7981510D826EE3E5">19.2-11 Log1p</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X86073E147FB3C0EA">19.2-12 Erf</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X7E03FDEE824D1E8E">19.2-13 <span class="Heading">Infinity testers</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X8151581186F75BA3">19.2-14 <span class="Heading">Standard mathematical operations</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap19.html#X845ACF3A78BD2771">19.3 <span class="Heading">High-precision-specific methods</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap19.html#X7E8F6EFB87A65F78">19.4 <span class="Heading">Complex arithmetic</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X7B0269D983F96677">19.4-1 Argument</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap19.html#X7E57B09C80136484">19.5 <span class="Heading">Interval-specific methods</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X7C34D1D185802F2F">19.5-1 Sup</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X78F1E457814FD1FD">19.5-2 Inf</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X829581A485F55996">19.5-3 Mid</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X7FE540B387B0012C">19.5-4 AbsoluteDiameter</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X7CA771757F441592">19.5-5 RelativeDiameter</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X86D22AE57E2D84B2">19.5-6 IsDisjoint</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X7A5E0C3E79837EB8">19.5-7 IsSubset</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X85191E1679936CE9">19.5-8 IncreaseInterval</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X879EE14282DD1539">19.5-9 BlowupInterval</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap19.html#X7EC15DAE7CBBB42E">19.5-10 BisectInterval</a></span>
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<div class="ContChap"><a href="chap20.html#X787B4AB77A2F5E14">20 <span class="Heading">Booleans</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap20.html#X87F9AF65832E7AD2">20.1 <span class="Heading">IsBool (Filter)</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap20.html#X7D58580284CF7894">20.1-1 IsBool</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap20.html#X85E648AA8414F303">20.2 <span class="Heading">Fail (Variable)</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap20.html#X8294AAC9860E87E5">20.2-1 fail</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap20.html#X862F17B68465B399">20.3 <span class="Heading">Comparisons of Booleans</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap20.html#X79305F9780394190">20.3-1 <span class="Heading">Equality and inequality of Booleans</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap20.html#X7FEF019482AF5923">20.3-2 <span class="Heading">Ordering of Booleans</span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap20.html#X79AD41A185FD7213">20.4 <span class="Heading">Operations for Booleans</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap20.html#X7DFE7E518088AA89">20.4-1 <span class="Heading">Logical disjunction</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap20.html#X7A64D25F804973CD">20.4-2 <span class="Heading">Logical conjunction</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap20.html#X84F5034185D7EC3C">20.4-3 <span class="Heading">Logical negation</span></a>
</span>
</div></div>
</div>
<div class="ContChap"><a href="chap21.html#X7B256AE5780F140A">21 <span class="Heading">Lists</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X86B28F5B781FFD31">21.1 <span class="Heading">List Categories</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7C4CC4EA8299701E">21.1-1 IsList</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X870AA9D8798C93DD">21.1-2 IsDenseList</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7C71596C82B6EF35">21.1-3 IsHomogeneousList</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X80872FAF80EB5DF9">21.1-4 IsTable</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X79581E0387F7F7A9">21.1-5 IsRectangularTable</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7C84E16A85C99C8C">21.1-6 IsConstantTimeAccessList</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X7B202D147A5C2884">21.2 <span class="Heading">Basic Operations for Lists</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X8297BBCD79642BE6"><code>21.2-1 <span>\</span>[<span>\</span>]</code></a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X7921047F83F5FA28">21.3 <span class="Heading">List Elements</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X78791B8B838A8BA0"><code>21.3-1 \{\}</code></a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X8611EF768210625B">21.4 <span class="Heading">List Assignment</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X813FF1637F8D2B7F"><code>21.4-1 \{\}\:\=</code></a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X795EC9D67E34DAB0">21.4-2 Add</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7E98B11B79BA9167">21.4-3 Remove</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X79D7E96F80A2D7C0">21.4-4 CopyListEntries</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X79E31DB27C82D6E1">21.4-5 Append</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X7963C8E17EFF86DB">21.5 <span class="Heading">IsBound and Unbind for Lists</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X79EC565A7DCEC938">21.5-1 IsBound</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X866F45D3797FDA00">21.5-2 GetWithDefault</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X78B72FDF7BD63C0B">21.5-3 Unbind</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X7DD65BEA7EDB0CD7">21.6 <span class="Heading">Identical Lists</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X7ED7C0738495556F">21.7 <span class="Heading">Duplication of Lists</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X808A207182B2F84F">21.8 <span class="Heading">Membership Test for Lists</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7B914A287F88ED0A"><code>21.8-1 \in</code></a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X84D6FC7E7E39ED33">21.9 <span class="Heading">Enlarging Internally Represented Lists</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X78BF67A5802E93AD">21.9-1 EmptyPlist</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X8016D50F85147A77">21.10 <span class="Heading">Comparisons of Lists</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X845EEAF083D43CCE">21.11 <span class="Heading">Arithmetic for Lists</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X84D642967B8546B7">21.12 <span class="Heading">Filters Controlling the Arithmetic Behaviour of Lists</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X87ABCEE9809585A0">21.12-1 IsGeneralizedRowVector</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7FBCA5B58308C158">21.12-2 IsMultiplicativeGeneralizedRowVector</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7BAD12E67BFC90DE">21.12-3 IsListDefault</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X8428E77B86722D52">21.12-4 NestingDepthA</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X84B383B97FD986CD">21.12-5 NestingDepthM</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X7E6A1F66781BE923">21.13 <span class="Heading">Additive Arithmetic for Lists</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X86A85ADC85C451DC">21.13-1 <span class="Heading">Zero for lists</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7B91CE4D814C2D08">21.13-2 <span class="Heading">AdditiveInverse for lists</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X842D123E7EE5E3DB">21.13-3 <span class="Heading">Addition of lists</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7C3DC8BE78DEECDE">21.13-4 <span class="Heading">Subtraction of lists</span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X782ED7F27D8C7FC1">21.14 <span class="Heading">Multiplicative Arithmetic for Lists</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X79A8A5627FD42FA5">21.14-1 <span class="Heading">One for lists</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X78C6C1E2849D303A">21.14-2 <span class="Heading">Inverse for lists</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X84FDB95179BFE4CD">21.14-3 <span class="Heading">Multiplication of lists</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X82EA2A5B786181C7">21.14-4 <span class="Heading">Division of lists</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7A0FD70C80B95C00">21.14-5 <span class="Heading">mod for lists</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X84BB2DFB8432A1A4">21.14-6 <span class="Heading">Left quotients of lists</span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X8676EFE67972FD06">21.15 <span class="Heading">Mutability Status and List Arithmetic</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X80FDB1457FF582E7">21.15-1 ListWithIdenticalEntries</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X8196FD4779BCCA0C">21.16 <span class="Heading">Finding Positions in Lists</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X79975EC6783B4293">21.16-1 Position</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7FA9648883AE1B88">21.16-2 Positions</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7B4B10AE81602D4E">21.16-3 PositionCanonical</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7D2B25B484591506">21.16-4 PositionNthOccurrence</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7A122E848464E534">21.16-5 PositionSorted</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X820BA44D85930EBF">21.16-6 PositionSortedBy</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X78BFE9D78347C0DA">21.16-7 PositionSet</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7FD9C1D37F300206">21.16-8 PositionMaximum</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7E6C763A82C6153B">21.16-9 PositionProperty</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7DA94D278304EC3D">21.16-10 PositionsProperty</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X86C9E5C3863B3C03">21.16-11 PositionBound</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X819F71047AABEA2F">21.16-12 PositionsBound</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X865EF45D87ED1384">21.16-13 PositionNot</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7F42E5AD87EC9D5A">21.16-14 PositionNonZero</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X87A8C62A867D6DA4">21.16-15 PositionSublist</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X7865747A7CCF5812">21.17 <span class="Heading">Properties and Attributes for Lists</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X83F8EC7C7BF27EFC">21.17-1 IsMatchingSublist</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7FA892828252BB3B">21.17-2 IsDuplicateFree</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7BAA9B0E81D4A884">21.17-3 IsSortedList</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X80CDAF45782E8DCB">21.17-4 IsSSortedList</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X780769238600AFD1">21.17-5 Length</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7B55FB967CDEF468">21.17-6 ConstantTimeAccessList</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X83E558E37D1B44D4">21.18 <span class="Heading">Sorting Lists</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7FE4975F8166884D">21.18-1 Sort</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X791F2B2C7E9B9A46">21.18-2 SortParallel</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X87287FCA81E2B06A">21.18-3 Sortex</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X800209E881E7CECB">21.18-4 SortingPerm</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X80ABC25582343910">21.19 <span class="Heading">Sorted Lists and Sets</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7B16AD597CB12305"><code>21.19-1 \in</code></a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7B4C0FEE7CDF6F2A">21.19-2 IsEqualSet</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X79B940567A849216">21.19-3 IsSubsetSet</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X832C23CC7FCD8892">21.19-4 AddSet</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7FCA282E789A4F4B">21.19-5 RemoveSet</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7B3469CD7EFC1A87">21.19-6 UniteSet</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X8473AA657FEC3D4D">21.19-7 IntersectSet</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X80B427537EB07D09">21.19-8 SubtractSet</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X7DF510F7848CBBFD">21.20 <span class="Heading">Operations for Lists</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X840C55A77D1BB2E1">21.20-1 Concatenation</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7CB0A6AF87C7FAF7">21.20-2 Compacted</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7ECE9056792F28BA">21.20-3 Collected</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X8727F2928467C2F9">21.20-4 DuplicateFreeList</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7F5D4DD87E4378AC">21.20-5 AsDuplicateFreeList</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7FA272D984EF82ED">21.20-6 Flat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7C4FDB007C3F54A1">21.20-7 Reversed</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X8057372F83374193">21.20-8 Shuffle</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X8075FBDE7B81B4C8">21.20-9 Apply</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7EF6E2BC81DBF6FB">21.20-10 Perform</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X8763882A7D65F979">21.20-11 PermListList</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X82CE0DE8828E4303">21.20-12 <span class="Heading">Maximum</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X82F133EC7F89665F">21.20-13 <span class="Heading">Minimum</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X842851EB7E0969F7">21.20-14 <span class="Heading">MaximumList and MinimumList</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7E1593B979BDF2CD">21.20-15 <span class="Heading">Cartesian</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7E76F5A782184823">21.20-16 <span class="Heading">IteratorOfCartesianProduct</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7B5A19098406347A">21.20-17 Permuted</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X86CB7DCE8510F977">21.20-18 List</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7C86D7F7795125F0">21.20-19 Filtered</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X8179B13D80E935FC">21.20-20 Number</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X82801DFA84E11272">21.20-21 First</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7E5B62E780421CE9">21.20-22 Last</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7F06961278166671">21.20-23 ForAll</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7AF82E747A8BDA75">21.20-24 ForAny</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7E5C72F27B657948">21.20-25 Product</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7A04B71C84CFCC2D">21.20-26 Sum</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X834E4DF57F3A20F0">21.20-27 Iterated</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7D150C2881881139">21.20-28 ListN</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X805CA0B68029B47A">21.21 <span class="Heading">Advanced List Manipulations</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X8258477D7F72171B">21.21-1 ListX</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7AC321B87A2DCAF5">21.21-2 SetX</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X82B1411E7FBE925F">21.21-3 SumX</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7FB318B47D8783DA">21.21-4 ProductX</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X79596BDE7CAF8491">21.22 <span class="Heading">Ranges</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X86DDC2FF7A50FBEE">21.22-1 IsRange</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X83896BC481536B07">21.22-2 IsRangeRep</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7D22B2298167A58F">21.22-3 ConvertToRangeRep</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X7EA3ACE27E43D174">21.23 <span class="Heading">Enumerators</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X7BB462C17962647F">21.23-1 IsQuickPositionList</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap21.html#X81ECC2077D88E112">21.24 <span class="Heading">Plain Lists</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X8438CB908367254C">21.24-1 PlainListCopy</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap21.html#X87BA4EBF80F16B72">21.24-2 IsPlistRep</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap22.html#X7AC531DD79B6938E">22 <span class="Heading">Boolean Lists</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap22.html#X7E7832B0804221AE">22.1 <span class="Heading">IsBlist (Filter)</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X7BE078187A08DCEA">22.1-1 IsBlist</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap22.html#X7CC745317FE54C14">22.2 <span class="Heading">Boolean Lists Representing Subsets</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X7C597B2D87CA2E6E">22.2-1 BlistList</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X874BEF63785AB439">22.2-2 ListBlist</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X85AD5EF77EFD7451">22.2-3 SizeBlist</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X7BA42D03796ED4B3">22.2-4 IsSubsetBlist</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap22.html#X8100080382AECFF9">22.3 <span class="Heading">Set Operations via Boolean Lists</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X7970BD3883C42D91">22.3-1 <span class="Heading">UnionBlist</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X86E1F8DE85E1EE1E">22.3-2 <span class="Heading">IntersectionBlist</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X7D6FC2C58725708C">22.3-3 DifferenceBlist</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap22.html#X8634D25D7B4C6151">22.4 <span class="Heading">Function that Modify Boolean Lists</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X79815EB77CC8A389">22.4-1 UniteBlist</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X7C86C8D3853BE5EB">22.4-2 UniteBlistList</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X84EB70D37EB275DF">22.4-3 IntersectBlist</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X7AA138407D5A3BAC">22.4-4 SubtractBlist</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X830645EC846B2E3C">22.4-5 MeetBlist</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X7F14FF35786DAEF3">22.4-6 FlipBlist</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X7E9F6C197A79098F">22.4-7 SetAllBlist</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X87ED45A88688AE8E">22.4-8 ClearAllBlist</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap22.html#X7C71B225841DFC0F">22.5 <span class="Heading">More about Boolean Lists</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap22.html#X8453ADDA810B4C03">22.5-1 IsBlistRep</a></span>
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</div>
<div class="ContChap"><a href="chap23.html#X82C7E6CF7BA03391">23 <span class="Heading">Row Vectors</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap23.html#X7E383689817D2371">23.1 <span class="Heading">IsRowVector (Filter)</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X7DFB22A07836A7A9">23.1-1 IsRowVector</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap23.html#X85516C3179C229DB">23.2 <span class="Heading">Operators for Row Vectors</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X785DC60D8482695D">23.2-1 NormedRowVector</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap23.html#X8679F7DD7DFCBD9C">23.3 <span class="Heading">Row Vectors over Finite Fields</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X810E46927F9E8F75">23.3-1 <span class="Heading">ConvertToVectorRep</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X83D8F5BB80089279">23.3-2 ImmutableVector</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X872E17FF829DB50F">23.3-3 NumberFFVector</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap23.html#X85C68AED805E4B9C">23.4 <span class="Heading">Coefficient List Arithmetic</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X800EC03F7E0A5F23">23.4-1 AddVector</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X7854B2B67E3FE2CA">23.4-2 AddCoeffs</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X7BEF28C981C42E16">23.4-3 MultVector</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X8264B3EE7D56EEDD">23.4-4 CoeffsMod</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap23.html#X7D287281781E16A2">23.5 <span class="Heading">Shifting and Trimming Coefficient Lists</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X80465E9B7A38C176">23.5-1 LeftShiftRowVector</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X822CCA4781D5C5EC">23.5-2 RightShiftRowVector</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X78951C0E86D857B5">23.5-3 ShrinkRowVector</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X85796B6079581023">23.5-4 RemoveOuterCoeffs</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap23.html#X7B63F1EB83FA0CF6">23.6 <span class="Heading">Functions for Coding Theory</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X7C9F4D657F9BA5A1">23.6-1 WeightVecFFE</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X85AA5C6587559C1C">23.6-2 DistanceVecFFE</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X7F2F630984A9D3D6">23.6-3 DistancesDistributionVecFFEsVecFFE</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X85135CEB86E61D49">23.6-4 DistancesDistributionMatFFEVecFFE</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X82E5987E81487D18">23.6-5 AClosestVectorCombinationsMatFFEVecFFE</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X7C88671678A2BEB4">23.6-6 CosetLeadersMatFFE</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap23.html#X87FEC1927B3A63C8">23.7 <span class="Heading">Vectors as coefficients of polynomials</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X84DE99D57C29D47F">23.7-1 ValuePol</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X8328088C807AFFAF">23.7-2 ProductCoeffs</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X87248AA27F05BDCC">23.7-3 ReduceCoeffs</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X7F74B1637CB13B7B">23.7-4 ReduceCoeffsMod</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X825F8F357FB1BF56">23.7-5 PowerModCoeffs</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap23.html#X833EF7AE80CE8B3C">23.7-6 ShiftedCoeffs</a></span>
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</div>
<div class="ContChap"><a href="chap24.html#X812CCAB278643A59">24 <span class="Heading">Matrices</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X801E1B5D7EC8DDD3">24.1 <span class="Heading">InfoMatrix (Info Class)</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X78EC82D27B4191DA">24.1-1 InfoMatrix</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X866E55A58164FAED">24.2 <span class="Heading">Categories of Matrices</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7E1AE46B862B185F">24.2-1 IsMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7CF42B8A845BC6A9">24.2-2 IsOrdinaryMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X86EC33E17DD12D0E">24.2-3 IsLieMatrix</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X7899335779A39A95">24.3 <span class="Heading">Operators for Matrices</span></a>
</span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X7F5AD28E869B66CB">24.4 <span class="Heading">Properties and Attributes of Matrices</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X83A9DC2085D3A972">24.4-1 DimensionsMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X80AE547B8095A5CB">24.4-2 DefaultFieldOfMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X784EC2777C06AFE4">24.4-3 TraceMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X8488D69A7ADDB4E2">24.4-4 DeterminantMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X824B5DC2875118B3">24.4-5 DeterminantMatrixDestructive</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X80693FAB7D541804">24.4-6 DeterminantMatrixDivFree</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7F8D25897EC1630B">24.4-7 IsEmptyMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X848B80437CE65FF3">24.4-8 IsMonomialMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7EEC8E768178696E">24.4-9 IsDiagonalMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X8740E71C799C0BCC">24.4-10 IsUpperTriangularMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X853A5B988306DBFE">24.4-11 IsLowerTriangularMatrix</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X823FB2398697B957">24.5 <span class="Heading">Matrix Constructions</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7DB902CE848D1524">24.5-1 IdentityMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X86D343A77D9B3D4D">24.5-2 NullMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X8508A7EA812BA0CC">24.5-3 EmptyMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X81042E7A7F247ADE">24.5-4 DiagonalMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X87BADF217C19CBE1">24.5-5 DiagonalMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X806C62A67A7D5379">24.5-6 PermutationMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7C52A38C79C36C35">24.5-7 TransposedMatImmutable</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7DBB40847E2B6252">24.5-8 TransposedMatDestructive</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X8634C79E7DB22934">24.5-9 KroneckerProduct</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X845EC4D18054D140">24.5-10 ReflectionMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7DEBC9967DFDFC18">24.5-11 PrintArray</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X79CC5F568252D341">24.6 <span class="Heading">Random Matrices</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7F957F0280A87961">24.6-1 RandomMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7C939B4A7EDF015D">24.6-2 RandomInvertibleMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X84743732846ACB44">24.6-3 RandomUnimodularMat</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X85485DCE809E323A">24.7 <span class="Heading">Matrices Representing Linear Equations and the Gaussian Algorithm</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7A995A74838950E6">24.7-1 RankMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7BA26C3387AB434E">24.7-2 TriangulizedMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X8384CA8E7B3850D3">24.7-3 TriangulizeMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7DA0D5887DB12DC4">24.7-4 NullspaceMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X87684B0F7AB7B7DB">24.7-5 NullspaceMatDestructive</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X838A519C7CD2969E">24.7-6 SolutionMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7A7880D27CE7C1FE">24.7-7 SolutionMatDestructive</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7AB5AC547809F999">24.7-8 BaseFixedSpace</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X871FCAA97C60B2BA">24.8 <span class="Heading">Eigenvectors and eigenvalues</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7A2462CC7B0C9D66">24.8-1 GeneralisedEigenvalues</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X845CA0457D65876D">24.8-2 GeneralisedEigenspaces</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X8413C6FB7CEE9D59">24.8-3 Eigenvalues</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7A6B047281B52FD7">24.8-4 Eigenspaces</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X8506584579D4EA18">24.8-5 Eigenvectors</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X7E5405D085661B29">24.9 <span class="Heading">Elementary Divisors</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7AC4D74F81908109">24.9-1 ElementaryDivisorsMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7AA1C9047B102204">24.9-2 ElementaryDivisorsTransformationsMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X85819D3F7A582180">24.9-3 DiagonalizeMat</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X7CA6B51D7AE3172B">24.10 <span class="Heading">Echelonized Matrices</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7D5D6BD07B7E981B">24.10-1 SemiEchelonMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X8251F6F57D346385">24.10-2 SemiEchelonMatDestructive</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7EFD1DB5861A54F0">24.10-3 SemiEchelonMatTransformation</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X827D7971800DB661">24.10-4 SemiEchelonMats</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X808F493B839BC7A6">24.10-5 SemiEchelonMatsDestructive</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X86B0D4A886BC0C6E">24.11 <span class="Heading">Matrices as Basis of a Row Space</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7AD6B5F5794D9E46">24.11-1 BaseMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X78B094597E382A5F">24.11-2 BaseMatDestructive</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X78B94EFF87A455BE">24.11-3 BaseOrthogonalSpaceMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7AFF8BCF80C88B45">24.11-4 SumIntersectionMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X8245D54F7AC532EB">24.11-5 BaseSteinitzVectors</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X79D5E53685F0FBEE">24.12 <span class="Heading">Triangular Matrices</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7A9139D686ACB7D8">24.12-1 DiagonalOfMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X84A78C057F9DAE5E">24.12-2 UpperSubdiagonal</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X84D74DEA798A9094">24.12-3 DepthOfUpperTriangularMatrix</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X85B403857F2855F7">24.13 <span class="Heading">Matrices as Linear Mappings</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X87FA0A727CDB060B">24.13-1 CharacteristicPolynomial</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7B52560C792C1A0F">24.13-2 RationalCanonicalFormTransform</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X83F55D4E79BA5D1B">24.13-3 JordanDecomposition</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X85923C107A4569D0">24.13-4 BlownUpMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X82AC277D84EC5749">24.13-5 BlownUpVector</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7E06762479A00DF4">24.13-6 CompanionMatrix</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X873822B6830CE367">24.14 <span class="Heading">Matrices over Finite Fields</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7DED2522828B6C30">24.14-1 ImmutableMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X8587A62F818AA0D6">24.14-2 ConvertToMatrixRep</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X84A76F7A7B4166BC">24.14-3 ProjectiveOrder</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X847ADC6779E33A1C">24.14-4 SimultaneousEigenvalues</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X8593A5337D3B2C70">24.15 <span class="Heading">Inverse and Nullspace of an Integer Matrix Modulo an Ideal</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7D8D1E0E83C7F872">24.15-1 InverseMatMod</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7D7DF873826A7C20">24.15-2 BasisNullspaceModN</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X86AE919983B242E2">24.15-3 NullspaceModQ</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X787DF5F07DC7D86E">24.16 <span class="Heading">Special Multiplication Algorithms for Matrices over GF(2)</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7C0C26027FAE0C83">24.16-1 PROD_GF2MAT_GF2MAT_SIMPLE</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X81965B7D7F45E088">24.16-2 PROD_GF2MAT_GF2MAT_ADVANCED</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X7F8A71F38201A250">24.17 <span class="Heading">Block Matrices</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X7D675B3C79CF8871">24.17-1 AsBlockMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X8633538685551E7A">24.17-2 BlockMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X83FAF4158180041F">24.17-3 MatrixByBlockMatrix</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap24.html#X782F2EBF80C431D0">24.18 <span class="Heading">Linear Programming</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap24.html#X845D5F8D7D905CB8">24.18-1 SimplexMethod</a></span>
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<div class="ContChap"><a href="chap25.html#X8414F20D8412DDA4">25 <span class="Heading">Integral matrices and lattices</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap25.html#X786A64B983339767">25.1 <span class="Heading">Linear equations over the integers and Integral Matrices</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X792315717F5B0294">25.1-1 NullspaceIntMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X7D749F317DBD1E69">25.1-2 SolutionIntMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X82CECB6E7D515CD2">25.1-3 SolutionNullspaceIntMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X7F66E8EA7D1AA2C1">25.1-4 BaseIntMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X8771349D865C9179">25.1-5 BaseIntersectionIntMats</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X7848EF9F83D491C1">25.1-6 ComplementIntMat</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap25.html#X8143C1448069D846">25.2 <span class="Heading">Normal Forms over the Integers</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X783CEC847D81F22A">25.2-1 TriangulizedIntegerMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X7DBE174E8625AFA5">25.2-2 TriangulizedIntegerMatTransform</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X78CD40A687FE2311">25.2-3 TriangulizeIntegerMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X8535AC327932B89F">25.2-4 HermiteNormalFormIntegerMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X7FDA78F979574ACC">25.2-5 HermiteNormalFormIntegerMatTransform</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X87089FEC7FBEEA8F">25.2-6 SmithNormalFormIntegerMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X839C1F9E87273A93">25.2-7 SmithNormalFormIntegerMatTransforms</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X80EF38737F6D61DB">25.2-8 DiagonalizeIntMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X81FB746E82BE6CDA">25.2-9 NormalFormIntMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X8221694D7C99197A">25.2-10 AbelianInvariantsOfList</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap25.html#X80F6990983C979FB">25.3 <span class="Heading">Determinant of an integer matrix</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X787599E087F4C0BA">25.3-1 DeterminantIntMat</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap25.html#X79F2EFEC7C3EA80C">25.4 <span class="Heading">Decompositions</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X7911A60384C511AB">25.4-1 Decomposition</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X843A976787600F13">25.4-2 LinearIndependentColumns</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X8285776B7DD86925">25.4-3 PadicCoefficients</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X7F5C619B7A9C3EB9">25.4-4 IntegralizedMat</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X8512FB69824AE353">25.4-5 DecompositionInt</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap25.html#X839C6ABE829355F4">25.5 <span class="Heading">Lattice Reduction</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X7D0FCEF8859E8637">25.5-1 LLLReducedBasis</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X86D23EB885EDE60E">25.5-2 LLLReducedGramMat</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap25.html#X871DB00B803D5177">25.6 <span class="Heading">Orthogonal Embeddings</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap25.html#X842280C2808FF05D">25.6-1 OrthogonalEmbeddings</a></span>
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<div class="ContChap"><a href="chap26.html#X856C23B87E50F118">26 <span class="Heading">Vector and Matrix Objects</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap26.html#X7A7275C27EC61ACE">26.1 <span class="Heading">Concepts and Rules for Vector and Matrix Objects</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap26.html#X7C6CDBFE7EB083A5">26.2 <span class="Heading">Categories of Vector and Matrix Objects</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7D963FCC7E849BE0">26.2-1 IsVectorObj</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7E7617A0781D1E4B">26.2-2 IsMatrixObj</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7D1ACCBE7E9CF501">26.2-3 IsMatrixOrMatrixObj</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap26.html#X877A706186C89ADB">26.3 <span class="Heading">Defining Attributes of Vector and Matrix Objects</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X8662026C7CCDB446">26.3-1 <span class="Heading">BaseDomain</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X818702FD7A2E9D90">26.3-3 <span class="Heading">CompatibleVectorFilter</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X828BA5E1849E3D06">26.3-4 Length</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap26.html#X7BD7D2837BFDE649">26.4 <span class="Heading">Constructing Vector and Matrix Objects</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X860E84397BD148E9">26.4-1 <span class="Heading">NewVector and NewZeroVector</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X79A6544D86261E82">26.4-2 <span class="Heading">Vector</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7AD2210B8047FB01">26.4-4 <span class="Heading">NewMatrix, NewZeroMatrix, NewIdentityMatrix</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X879384D479EB1D82">26.4-5 <span class="Heading">Matrix</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X838F5B6C7C87C8E1">26.4-6 <span class="Heading">ZeroMatrix</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7D807ABC7FCB4E77">26.4-7 <span class="Heading">IdentityMatrix</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap26.html#X7C7F5250855C4371">26.5 <span class="Heading">Operations for Base Domains of Vector and Matrix Objects</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X85D7A6A782B21E5C">26.5-1 <span class="Heading">OneOfBaseDomain and ZeroOfBaseDomain</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap26.html#X7954E20987E0B260">26.6 <span class="Heading">Operations for Vector and Matrix Objects</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7FFC60A27FE6FA97">26.6-1 <span class="Heading">Comparison of Vector and Matrix Objects</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7FBBE79478012648">26.6-2 <span class="Heading">Unpack</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X83DD8B39864A2C94">26.6-4 <span class="Heading">Randomize</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap26.html#X7FE662477F36A21F">26.7 <span class="Heading">List Like Operations for Vector Objects</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7D5DF49C7ADB6986">26.7-1 <span class="Heading">Element Access and Assignment for Vector Objects</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7A21731C83EE3BB0">26.7-2 PositionNonZero</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7ABDE1B685A78326">26.7-3 PositionLastNonZero</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap26.html#X7FDF7655852AEAAE">26.8 <span class="Heading">Arithmetical Operations for Vector Objects</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7F8CE23F7A250072">26.8-1 <span class="Heading">Unary Arithmetical Operations for Vector Objects</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X85A815CA790094CC">26.8-2 <span class="Heading">Binary Arithmetical Operations for Vector Objects</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X876090A684E71C93">26.8-3 AddVector</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap26.html#X7BE9D278852C13BC">26.9 <span class="Heading">Operations for Vector Objects</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7AC470557EC90714">26.9-1 <span class="Heading">ConcatenationOfVectors</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7DBE956E7F9C700E">26.9-2 ExtractSubVector</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X80EC354D78D7B5A6">26.9-3 CopySubVector</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X866366E587991171">26.9-4 WeightOfVector</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X81ACAE017C00F782">26.9-5 DistanceOfVectors</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap26.html#X81CC13CA7A1FF4AA">26.10 <span class="Heading">Arithmetical Operations for Matrix Objects</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X819F87A07DA7E2DC">26.10-1 <span class="Heading">Unary Arithmetical Operations for Matrix Objects</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7BBB70557A7A9591">26.10-2 <span class="Heading">Binary Arithmetical Operations for Matrix Objects</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap26.html#X85FAB7E778A71C19">26.11 <span class="Heading">Operations for Matrix Objects</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X870FBE817C884AB5">26.11-1 MatElm</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7C33059984635480">26.11-2 SetMatElm</a></span>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X809A6B3F7EA5E7D8">26.11-6 CompatibleVector</a></span>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X872E63867803ED78"><code>26.12-5 IsBound<span>\</span>[<span>\</span>]</code></a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X79328CB280C71DDB"><code>26.12-6 Unbind<span>\</span>[<span>\</span>]</code></a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7BDD838579E4D2D6">26.12-7 Add</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X86E355D07A41C025">26.12-8 Remove</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X82D0359B81F8D442">26.12-9 Append</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7E234F717BE333EA">26.12-10 ShallowCopy</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7E9F095E85DED480">26.12-11 ListOp</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap26.html#X7B86A8487B12F9BD">26.13 <span class="Heading">Basic operations for row/column reductions</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7B3997D37CC44FCA">26.13-1 MultMatrixRowLeft</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X794636447E8C5553">26.13-2 MultMatrixRowRight</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X80AF7B267E6B9CE0">26.13-3 MultMatrixColumnRight</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X843DAFE37F347471">26.13-4 MultMatrixColumnLeft</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X8662EB748629502F">26.13-5 AddMatrixRowsLeft</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7CD05EE984614AB6">26.13-6 AddMatrixRowsRight</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X7B1E1E417CA267A3">26.13-7 AddMatrixColumnsRight</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X85ECB8C87DFD8F32">26.13-8 AddMatrixColumnsLeft</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X87CCA3117F6B3F0D">26.13-9 SwapMatrixRows</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap26.html#X824C8A347EB9D499">26.13-10 SwapMatrixColumns</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap26.html#X7BEE647484978886">26.14 <span class="Heading">Implementing New Vector and Matrix Objects Types</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap26.html#X | |
