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<head><title>leadTerm(ZZ,Matrix) -- get the matrix of lead polynomials of each column</title>
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<div><h1>leadTerm(ZZ,Matrix) -- get the matrix of lead polynomials of each column</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,f)</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>f</tt>, <span>a <a href="___Matrix.html">matrix</a></span>, in a polynomial ring</span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="___Matrix.html">matrix</a></span>, the lead term matrix of <tt>f</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>Returns the matrix whose <tt>i</tt>-th column is the lead term of the <tt>i</tt>-th column of <tt>f</tt>, using the first <tt>n</tt> parts of the monomial order. <table class="examples"><tr><td><pre>i1 : R = QQ[x,y,z,a..d,MonomialOrder=>ProductOrder{3,4}];</pre>
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<tr><td><pre>i2 : f = matrix{{0,x^2*(a+b)}, {a*x+2*b*y, y^2*(c+d)}}
o2 = | 0 x2a+x2b |
| xa+2yb y2c+y2d |
2 2
o2 : Matrix R <--- R</pre>
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<tr><td><pre>i3 : leadTerm(1,f)
o3 = | 0 x2a+x2b |
| xa 0 |
2 2
o3 : Matrix R <--- R</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_select__In__Subring.html" title="select columns in a subring">selectInSubring</a> -- select columns in a subring</span></li>
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