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<div><h1>Degree</h1>
<div class="single"><h2>Description</h2>
<div><tt>Degree => d</tt> -- an optional argument to <a href="_matrix.html" title="make a matrix">matrix</a> that specifies that the degree of the map created should be <tt>d</tt>.<p/>
The degree may be an integer or a list of integers (multidegree). The length of the list should be the same as the length of a degree for the ring, see <a href="_degree__Length.html" title="the number of degrees">degreeLength</a>.<p/>
<table class="examples"><tr><td><pre>i1 : R = ZZ/101[x]
o1 = R
o1 : PolynomialRing</pre>
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<tr><td><pre>i2 : p = map(R^1, R^1, {{x^4}})
o2 = | x4 |
1 1
o2 : Matrix R <--- R</pre>
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<tr><td><pre>i3 : isHomogeneous p
o3 = false</pre>
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<tr><td><pre>i4 : q = map(R^1, R^1, {{x^4}}, Degree => 4)
o4 = | x4 |
1 1
o4 : Matrix R <--- R</pre>
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<tr><td><pre>i5 : isHomogeneous q
o5 = true</pre>
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<div class="single"><h2>Functions with optional argument named Degree :</h2>
<ul><li><span><a href="_cohomology_lp..._cm_sp__Degree_sp_eq_gt_sp..._rp.html" title="">cohomology(..., Degree => ...)</a></span></li>
<li><span><a href="_induced__Map_lp..._cm_sp__Degree_sp_eq_gt_sp..._rp.html" title="specify the degree of a map">inducedMap(..., Degree => ...)</a> -- specify the degree of a map</span></li>
<li><span><a href="_map_lp..._cm_sp__Degree_sp_eq_gt_sp..._rp.html" title="set the degree of a map">map(..., Degree => ...)</a> -- set the degree of a map</span></li>
<li><span>matrix(..., Degree => ...), see <span><a href="_matrix_lp__List_rp.html" title="create a matrix from a doubly-nested list of ring elements or matrices">matrix(List)</a> -- create a matrix from a doubly-nested list of ring elements or matrices</span></span></li>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_map.html" title="make a map">map</a> -- make a map</span></li>
<li><span><a href="_matrix.html" title="make a matrix">matrix</a> -- make a matrix</span></li>
<li><span><a href="_induced__Map_lp..._cm_sp__Degree_sp_eq_gt_sp..._rp.html" title="specify the degree of a map">inducedMap(..., Degree => ...)</a> -- specify the degree of a map</span></li>
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<div class="waystouse"><h2>For the programmer</h2>
<p>The object <a href="___Degree.html" title="">Degree</a> is <span>a <a href="___Symbol.html">symbol</a></span>.</p>
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