Difference between revisions of "Eliminate Command"

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;Eliminate[ <List of Polynomials>, <List of Variables> ]: Considers the algebraic equation system defined by the polynomials, and computes an equivalent system after eliminating all variables in the given list.
 
;Eliminate[ <List of Polynomials>, <List of Variables> ]: Considers the algebraic equation system defined by the polynomials, and computes an equivalent system after eliminating all variables in the given list.
{{example| 1=<div><code><nowiki>Eliminate[{x^2+x,y^2-x},{x}]</nowiki></code> yields {<math> y^{4} + y^{2} </math>}.
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:{{example| 1=<div><code><nowiki>Eliminate[{x^2+x,y^2-x},{x}]</nowiki></code> yields {<math> y^{4} + y^{2} </math>}.</div>}}
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{{Note| See also [[GroebnerLexDeg Command|GroebnerLexDeg]] command.}}
 
{{Note| See also [[GroebnerLexDeg Command|GroebnerLexDeg]] command.}}

Revision as of 10:52, 9 May 2014


Eliminate[ <List of Polynomials>, <List of Variables> ]
Considers the algebraic equation system defined by the polynomials, and computes an equivalent system after eliminating all variables in the given list.
Example:
Eliminate[{x^2+x,y^2-x},{x}] yields { y^{4} + y^{2} }.
Note: See also GroebnerLexDeg command.
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