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<head><title>leadTerm(ZZ,Ideal) -- get the ideal of lead polynomials</title>
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<div><h1>leadTerm(ZZ,Ideal) -- get the ideal of lead polynomials</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>leadTerm(n,I)</tt></div>
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<li><span>Function: <a href="_lead__Term.html" title="get the greatest term">leadTerm</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>n</tt>, <span>an <a href="___Z__Z.html">integer</a></span></span></li>
<li><span><tt>I</tt>, <span>an <a href="___Ideal.html">ideal</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="___Matrix.html">matrix</a></span>, The ideal of all possible lead polynomials of <tt>I</tt> using the first <tt>n</tt> parts of the monomial order</span></li>
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<div class="single"><h2>Description</h2>
<div>Compute a <a href="___Gröbner_spbases.html">Gröbner basis</a> and return the ideal generated by the lead terms of the Gröbner basis elements using the first n. <table class="examples"><tr><td><pre>i1 : R = QQ[a..d,MonomialOrder=>ProductOrder{1,3}];</pre>
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<tr><td><pre>i2 : I = ideal(a*b-c*d, a*c-b*d)
o2 = ideal (a*b - c*d, a*c - b*d)
o2 : Ideal of R</pre>
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<tr><td><pre>i3 : leadTerm(1,I)
o3 = | b2d-c2d ac ab |
1 3
o3 : Matrix R <--- R</pre>
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