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<head><title>source(FirstOrderDeformation) -- The source of a deformation.</title>
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<div><h1>source(FirstOrderDeformation) -- The source of a deformation.</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>source(f)</tt></div>
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<li><span>Function: <a href="../../Macaulay2Doc/html/_source.html" title="source of a map">source</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>f</tt>, <span>a <a href="___First__Order__Deformation.html">first order deformation</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___Module.html">module</a></span></span></li>
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<div class="single"><h2>Description</h2>
<div><p>Returns the <a href="../../Macaulay2Doc/html/_source.html" title="source of a map">source</a> of the homomorphisms represented by f.</p>
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<table class="examples"><tr><td><pre>i1 : R=QQ[x_0..x_4]
o1 = R
o1 : PolynomialRing</pre>
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<tr><td><pre>i2 : addCokerGrading(R)
o2 = | -1 -1 -1 -1 |
| 1 0 0 0 |
| 0 1 0 0 |
| 0 0 1 0 |
| 0 0 0 1 |
5 4
o2 : Matrix ZZ <--- ZZ</pre>
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<tr><td><pre>i3 : I=ideal(x_0*x_1,x_1*x_2,x_2*x_3,x_3*x_4,x_4*x_0)
o3 = ideal (x x , x x , x x , x x , x x )
0 1 1 2 2 3 3 4 0 4
o3 : Ideal of R</pre>
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<tr><td><pre>i4 : mg=mingens I;
1 5
o4 : Matrix R <--- R</pre>
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<tr><td><pre>i5 : f=firstOrderDeformation(mg, vector {-1,-1,0,2,0})
2
x
3
o5 = ----
x x
0 1
o5 : first order deformation space of dimension 1</pre>
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<tr><td><pre>i6 : source f
o6 = image | x_3x_4 x_0x_4 x_2x_3 x_1x_2 x_0x_1 |
1
o6 : R-module, submodule of R</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="___First__Order__Deformation.html" title="The class of all first order deformations of monomial ideals.">FirstOrderDeformation</a> -- The class of all first order deformations of monomial ideals.</span></li>
<li><span><a href="_first__Order__Deformation.html" title="Makes a first order deformation.">firstOrderDeformation</a> -- Makes a first order deformation.</span></li>
<li><span><a href="_add__Coker__Grading.html" title="Stores a cokernel grading in a polynomial ring.">addCokerGrading</a> -- Stores a cokernel grading in a polynomial ring.</span></li>
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