Difference between revisions of "Eliminate Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|logical}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|logical}}
 
==CAS Syntax==
 
==CAS Syntax==
;Eliminate[ <List of Polynomials>, <List of Variables> ]
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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.
 
: 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>}.</div>}}
 
:{{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 17:15, 7 October 2017


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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