Difference between revisions of "Eliminate Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{betamanual|version=5.0}}
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|logical}}
{{command|logical}}
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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.
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{{betamanual|version=5.0}}
:{{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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==CAS Syntax==
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;Eliminate[ <List of Polynomials>, <List of Variables> ]
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: Considers the algebraic equation system defined by the polynomials, and computes an equivalent system after eliminating all variables in the given list.
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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>}}
 
{{Note| See also [[GroebnerLexDeg Command|GroebnerLexDeg]] command.}}
 
{{Note| See also [[GroebnerLexDeg Command|GroebnerLexDeg]] command.}}

Revision as of 15:33, 24 July 2014




CAS Syntax

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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