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    <title>oscRing -- create a polynomial ring for a given graph or number of oscillators</title>
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o1 = CC  [x ..y ]
       53  0   2

o1 : PolynomialRing</code></pre>
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              <pre><code class="language-macaulay2">i2 : oscRing(3, CoefficientRing => CC, Symbols=>{c, s})

o2 = CC  [c ..c , s ..s ]
       53  0   2   0   2

o2 : PolynomialRing</code></pre>
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          <p>If one gives a graph with Reduced => true, then the number of angles considered is one less than the number of vertices of the graph.</p>
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              <pre><code class="language-macaulay2">i3 : G = graph({0,1,2,3}, {{0,1},{1,2},{2,3},{0,3}})

o3 = Graph{0 => {1, 3}}
           1 => {0, 2}
           2 => {1, 3}
           3 => {0, 2}

o3 : Graph</code></pre>
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              <pre><code class="language-macaulay2">i4 : oscRing G

o4 = QQ[x ..y ]
         0   3

o4 : PolynomialRing</code></pre>
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              <pre><code class="language-macaulay2">i5 : oscRing(G, CoefficientRing => CC, Reduced => true)

o5 = CC  [x ..y ]
       53  1   3

o5 : PolynomialRing</code></pre>
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        <h2>See also</h2>
        <ul>
          <li><span><a title="the ideal of the reduced equilibrium points of a dynamical system of oscillators" href="_osc__System.html">oscSystem</a> -- the ideal of the reduced equilibrium points of a dynamical system of oscillators</span></li>
          <li><span><a title="create the Jacobian for the oscillator system associated to a graph" href="_osc__Jacobian.html">oscJacobian</a> -- create the Jacobian for the oscillator system associated to a graph</span></li>
          <li><span><a title="displays a digraph or graph using Graphviz" href="../../Graphs/html/_display__Graph.html">displayGraph</a> -- displays a digraph or graph using Graphviz</span></li>
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          <h2>Ways to use <span class="tt">oscRing</span>:</h2>
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            <li><kbd>oscRing(Graph)</kbd></li>
            <li><kbd>oscRing(ZZ)</kbd></li>
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          <h2>For the programmer</h2>
          <p>The object <a title="create a polynomial ring for a given graph or number of oscillators" href="_osc__Ring.html">oscRing</a> is <span>a <a title="a type of method function" href="../../Macaulay2Doc/html/___Method__Function__With__Options.html">method function with options</a></span>.</p>
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        <div class="waystouse">
          <p>The source of this document is in <span class="tt">Oscillators/Documentation.m2:201:0</span>.</p>
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