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<h1>4ti2Interface</h1>
<h2>A link to 4ti2</h2>
<p>
2024.11-01</p>
<p>
23 November 2024
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<p><b>
Sebastian Gutsche
</b>
<br />Email: <span class="URL"><a href="mailto:gutsche@mathematik.uni-siegen.de">gutsche@mathematik.uni-siegen.de</a></span>
<br />Homepage: <span class="URL"><a href="https://sebasguts.github.io">https://sebasguts.github.io</a></span>
<br />Address: <br />Department Mathematik<br /> Universität Siegen<br /> Walter-Flex-Straße 3<br /> 57072 Siegen<br /> Germany<br />
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<h3>Contents<a id="contents" name="contents"></a></h3>
<div class="ContChap"><a href="chap1_mj.html#X7DFB63A97E67C0A1">1 <span class="Heading">Introduction</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1_mj.html#X82A882D87ABF47EB">1.1 <span class="Heading">What is the idea of 4ti2Interface</span></a>
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<div class="ContChap"><a href="chap2_mj.html#X8360C04082558A12">2 <span class="Heading">Installation</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#X81A5946683F0AD7D">2.1 <span class="Heading">How to install this package</span></a>
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<div class="ContChap"><a href="chap3_mj.html#X876DE76280B7AB01">3 <span class="Heading">4ti2 functions</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.html#X7C635ACB7DD200CF">3.1 <span class="Heading">Groebner</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X7CCB80AD7BA246B0">3.1-1 4ti2Interface_groebner_matrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X86736FF783E8F6AF">3.1-2 4ti2Interface_groebner_basis</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X8485878A84333E15">3.1-3 <span class="Heading">Defining ideal of toric variety</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.html#X7F5D3AAB7834A607">3.2 <span class="Heading">Hilbert</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X7DDFDF9D7DE9A29D">3.2-1 4ti2Interface_hilbert_inequalities</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X7F9E586C817E3C08">3.2-2 4ti2Interface_hilbert_equalities_in_positive_orthant</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X80878F7E7F1DDDDE">3.2-3 4ti2Interface_hilbert_equalities_and_inequalities</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X7822ED3E7DC13FAE">3.2-4 <span class="Heading">Generators of semigroup</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X7C9AE7868537AB0A">3.2-5 <span class="Heading">Hilbert basis of dual cone</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.html#X84237872798DB501">3.3 <span class="Heading">ZSolve</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X82FD0D9F7B7EA6F8">3.3-1 4ti2Interface_zsolve_equalities_and_inequalities</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.html#X7D34D2A17EE6F480">3.4 <span class="Heading">Graver</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X84F90D9B79886CA6">3.4-1 4ti2Interface_graver_equalities</a></span>
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<div class="ContChap"><a href="chap4_mj.html#X7A15CCB67FBCF3E3">4 <span class="Heading">Tool functions</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4_mj.html#X86BDFBD07D23807E">4.1 <span class="Heading">Read and write matrix</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X7B786D5E8267CBD0">4.1-1 4ti2Interface_Read_Matrix_From_File</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X847592CF87F6DBEC">4.1-2 4ti2Interface_Write_Matrix_To_File</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X80F4C48487375746">4.1-3 4ti2Interface_Cut_Vector</a></span>
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