Difference between revisions of "Eliminate Command"

Latest revision as of 10:49, 12 October 2017

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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-<noinclude>{{Manual Page|version=5.0}}</noinclude>{{betamanual|version=5.0}}
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|logical}}
-{{command|logical}}
+==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.
+;Eliminate( <List of Polynomials>, <List of Variables> )
-:{{example| 1=<div><code><nowiki>Eliminate[{x^2+x,y^2-x},{x}]</nowiki></code> yields {<math> y^{4} + y^{2} </math>}.</div>}}
+: Considers the algebraic equation system defined by the polynomials, and computes an equivalent system after eliminating all variables in the given list.
+:{{example| 1=<code><nowiki>Eliminate({x^2 + x, y^2 - x}, {x})</nowiki></code> yields {<math> y^{4} + y^{2} </math>}.}}
 {{Note| See also [[GroebnerLexDeg Command|GroebnerLexDeg]] command.}}