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Macaulay2-1.3.1-8.fc15.i686.rpm

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<head><title>LowerBound -- the class of lower bound objects</title>
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<div><h1>LowerBound -- the class of lower bound objects</h1>
<div class="single"><h2>Description</h2>
<div>This is a type of list that represents a lower bound.  The single element of the list is an integer, and the object represents the condititon that some other integer, such as the index in a direct sum, should be at least as large.<table class="examples"><tr><td><pre>i1 : LowerBound {4}

o1 = LowerBound{4}

o1 : LowerBound</pre>
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<tr><td><pre>i2 : >= 4

o2 = LowerBound{4}

o2 : LowerBound</pre>
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<tr><td><pre>i3 : > 4

o3 = LowerBound{5}

o3 : LowerBound</pre>
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<div class="waystouse"><h2>Functions and methods returning an object of class LowerBound :</h2>
<ul><li><span>> InfiniteNumber, see <span><a href="__gt_sp__Z__Z.html" title="greater than">> ZZ</a> -- greater than</span></span></li>
<li><span><a href="__gt_sp__Z__Z.html" title="greater than">> ZZ</a> -- greater than</span></li>
<li><span>>= InfiniteNumber, see <span><a href="__gt_eq_sp__Z__Z.html" title="greater than or equal">>= ZZ</a> -- greater than or equal</span></span></li>
<li><span><a href="__gt_eq_sp__Z__Z.html" title="greater than or equal">>= ZZ</a> -- greater than or equal</span></li>
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<h2>Methods that use an object of class LowerBound :</h2>
<ul><li>CoherentSheaf LowerBound</li>
<li>SheafOfRings LowerBound</li>
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<div class="waystouse"><h2>For the programmer</h2>
<p>The object <a href="___Lower__Bound.html" title="the class of lower bound objects">LowerBound</a> is <span>a <a href="___Self__Initializing__Type.html">self initializing type</a></span>, with ancestor classes <a href="___Basic__List.html" title="the class of all basic lists">BasicList</a> &lt; <a href="___Thing.html" title="the class of all things">Thing</a>.</p>
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