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gap-system-packages-4.4.12-5mdv2010.0.i586.rpm

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<div class="pcenter"><table class="chlink"><tr><td class="chlink1">Goto Chapter: </td><td><a href="chap0.html">Top</a></td><td><a href="chap1.html">1</a></td><td><a href="chapInd.html">Ind</a></td></tr></table><br /></div>
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<h1><strong class="pkg">singular</strong></h1>


<h2>the <strong class="pkg">GAP</strong> interface to <strong class="pkg">Singular</strong></h2>

<p>Version 06.07.23</p>

<p>23 July 2006</p>

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<p><b>Marco Costantini
   
   
  </b>
<br />e-mail: <a href="mailto:costanti@science.unitn.it">costanti@science.unitn.it</a>
<br />WWW: <a href="http://www-math.science.unitn.it/~costanti/">http://www-math.science.unitn.it/~costanti/</a>
</p><p><b>Willem A. de Graaf
    
    
  </b>
<br />e-mail: <a href="mailto:degraaf@science.unitn.it">degraaf@science.unitn.it</a>
<br />WWW: <a href="http://www.science.unitn.it/~degraaf/">http://www.science.unitn.it/~degraaf/</a>
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<h3>Copyright</h3>
<p>(C) 2003, 2004, 2005, 2006 Marco Costantini and Willem A. de Graaf</p>

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<h3>Contents</h3>

<a href="chap1.html#s0ss0">1. <strong class="pkg">singular</strong>: 
the <strong class="pkg">GAP</strong> interface to <strong class="pkg">Singular</strong></a><br />
&nbsp;&nbsp;&nbsp;<a href="chap1.html#s1ss0">1.1 Introduction</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s1ss1">1.1-1 Package evolution</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s1ss2">1.1-2 The system <strong class="pkg">Singular</strong></a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s1ss3">1.1-3 The system <strong class="pkg">GAP</strong></a><br />
&nbsp;&nbsp;&nbsp;<a href="chap1.html#s2ss0">1.2 Installation</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s2ss1">1.2-1 Installing the system
<strong class="pkg">Singular</strong></a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s2ss2">1.2-2 Installing the system <strong class="pkg">GAP</strong></a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s2ss3">1.2-3 Installing the package
<strong class="pkg">singular</strong></a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s2ss4">1.2-4 sing_exec</a><br />
&nbsp;&nbsp;&nbsp;<a href="chap1.html#s3ss0">1.3 Interaction with
<strong class="pkg">Singular</strong></a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s3ss1">1.3-1 StartSingular</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s3ss2">1.3-2 SingularHelp</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s3ss3">1.3-3 Rings and orderings</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s3ss4">1.3-4 Supported coefficients fields</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s3ss5">1.3-5 SetTermOrdering</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s3ss6">1.3-6 SingularSetBaseRing</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s3ss7">1.3-7 SingularLibrary</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s3ss8">1.3-8 SingularInterface</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s3ss9">1.3-9 SingularType</a><br />
&nbsp;&nbsp;&nbsp;<a href="chap1.html#s4ss0">1.4 Interaction with
<strong class="pkg">Singular</strong> at low level</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s4ss1">1.4-1 SingularCommand</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s4ss2">1.4-2 GapInterface</a><br />
&nbsp;&nbsp;&nbsp;<a href="chap1.html#s5ss0">1.5 Other mathematical functions of the package</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s5ss1">1.5-1 GroebnerBasis</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s5ss2">1.5-2 SINGULARGBASIS</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s5ss3">1.5-3 HasTrivialGroebnerBasis</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s5ss4">1.5-4 GcdUsingSingular</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s5ss5">1.5-5 FactorsUsingSingularNC</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s5ss6">1.5-6 FactorsUsingSingular</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s5ss7">1.5-7 GeneratorsOfInvariantRing</a><br />
&nbsp;&nbsp;&nbsp;<a href="chap1.html#s6ss0">1.6 Algebraic-geometric codes functions</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s6ss1">1.6-1 AllPointsOnCurve</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s6ss2">1.6-2 AGCode</a><br />
&nbsp;&nbsp;&nbsp;<a href="chap1.html#s7ss0">1.7 Troubleshooting and technical stuff</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s7ss1">1.7-1 Supported platforms and underlying <strong class="pkg">GAP</strong> functions</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s7ss2">1.7-2 How different versions of <strong class="pkg">GAP</strong> display polynomial rings and polynomials</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s7ss3">1.7-3 Test file</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s7ss4">1.7-4 Common problems</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s7ss5">1.7-5 Errors on the <strong class="pkg">Singular</strong> side</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s7ss6">1.7-6 Sending a report</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s7ss7">1.7-7 SingularReportInformation</a><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href="chap1.html#s7ss8">1.7-8 InfoSingular</a><br />
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