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<head><title>areEqual -- determine if solutions are equal</title>
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<div><h1>areEqual -- determine if solutions are equal</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>b = areEqual(x,y)</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>x</tt><tt>y</tt> solutions or lists of solutions</span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___Boolean.html">Boolean value</a></span>, <tt>b</tt>, true = approximately equal</span></li>
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<li><div class="single"><a href="../../Macaulay2Doc/html/_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><a href="___Tolerance.html">Tolerance => ...</a>, -- specifies the tolerance of a numerical computation</span></li>
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<div class="single"><h2>Description</h2>
<div>Comparisons are done coordinatewise using <a href="___Tolerance.html" title="specifies the tolerance of a numerical computation">Tolerance</a> as the measure for closeness.<table class="examples"><tr><td><pre>i1 : R = CC[x,y];</pre>
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<tr><td><pre>i2 : s = solveSystem {x^2+y^2-1, x*y}
o2 = {{{3.18156e-16-5.82211e-16*ii, -1}}, {{-1, 1.19756e-15-3.03754e-16*ii}},
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{{1, -1.19756e-15+3.03754e-16*ii}}, {{-3.06013e-16+5.95439e-16*ii, 1}}}
o2 : List</pre>
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<tr><td><pre>i3 : areEqual(sortSolutions s, {{{-1, 0}}, {{0, -1}}, {{0, 1}}, {{1, 0}}})
o3 = true</pre>
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<div class="waystouse"><h2>Ways to use <tt>areEqual</tt> :</h2>
<ul><li>areEqual(CC,CC)</li>
<li>areEqual(List,List)</li>
<li>areEqual(Matrix,Matrix)</li>
</ul>
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