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Macaulay2-1.3.1-8.fc15.i686.rpm

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<head><title>standardForm -- convert to standard form</title>
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<div><h1>standardForm -- convert to standard form</h1>
<div class="single"><h2>Description</h2>
<div><tt>standardForm f</tt> -- converts a polynomial or monomial to a form involving hash tables.<p/>
A polynomial is represented by hash tables in which the keys are hash tables representing the monomials and the values are the coefficients.<p/>
The monomials themselves are represented by hash tables in which the keys are the variables and the values are the corresponding exponents.<table class="examples"><tr><td><pre>i1 : R = ZZ/101[x,y,z];</pre>
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<tr><td><pre>i2 : standardForm (x^2 - 7 + x*y*z^11 + y)

o2 = HashTable{HashTable{} => -7      }
               HashTable{0 => 1 } => 1
                         1 => 1
                         2 => 11
               HashTable{0 => 2} => 1
               HashTable{1 => 1} => 1

o2 : HashTable</pre>
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<div class="waystouse"><h2>Ways to use <tt>standardForm</tt> :</h2>
<ul><li>standardForm(MonoidElement)</li>
<li>standardForm(RingElement)</li>
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