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  • ...f a polynomial|degree]] which that object satisfies. Examples include the minimal polynomial of a [[square matrix]], an [[endomorphism]] of a [[vector space]] or an [[a with the minimal polynomial as monic generator.
    4 KB (613 words) - 02:34, 4 January 2013
  • 121 bytes (16 words) - 17:52, 11 December 2008
  • 151 bytes (17 words) - 02:37, 4 January 2013
  • Auto-populated based on [[Special:WhatLinksHere/Minimal polynomial]]. Needs checking by a human.
    544 bytes (70 words) - 18:34, 11 January 2010

Page text matches

  • ...f a polynomial|degree]] which that object satisfies. Examples include the minimal polynomial of a [[square matrix]], an [[endomorphism]] of a [[vector space]] or an [[a with the minimal polynomial as monic generator.
    4 KB (613 words) - 02:34, 4 January 2013
  • An element of a field extension for which the minimal polynomial has distinct roots.
    120 bytes (17 words) - 04:11, 20 December 2008
  • ...of a polynomial|discriminant]] of the [[Minimal polynomial (field theory)|minimal polynomial]] of α.
    1 KB (208 words) - 16:47, 17 December 2008
  • {{r|Minimal polynomial}}
    2 KB (206 words) - 19:38, 11 January 2010
  • {{r|Minimal polynomial}}
    770 bytes (96 words) - 19:39, 11 January 2010
  • {{r|Minimal polynomial}}
    553 bytes (67 words) - 11:46, 11 January 2010
  • {{r|Minimal polynomial}}
    949 bytes (118 words) - 16:12, 11 January 2010
  • {{r|Minimal polynomial}}
    857 bytes (112 words) - 16:32, 11 January 2010
  • {{r|Minimal polynomial}}
    887 bytes (126 words) - 02:29, 22 December 2008
  • {{r|Minimal polynomial}}
    1 KB (169 words) - 19:54, 11 January 2010
  • Auto-populated based on [[Special:WhatLinksHere/Minimal polynomial]]. Needs checking by a human.
    544 bytes (70 words) - 18:34, 11 January 2010
  • {{r|Minimal polynomial}}
    550 bytes (71 words) - 15:57, 11 January 2010
  • {{r|Minimal polynomial}}
    584 bytes (79 words) - 15:48, 11 January 2010
  • The [[minimal polynomial]] for ζ is the ''n''-th [[cyclotomic polynomial]] <math>\Phi_n(X)</math>,
    2 KB (342 words) - 12:52, 21 January 2009
  • ...n extension field is ''separable'' over ''F'' if it is algebraic and its [[minimal polynomial]] over ''F'' has distinct roots. Every algebraic element is separable over
    3 KB (435 words) - 22:38, 22 February 2009
  • ...ee ''d'' having ''a'' as a root. It is the [[defining polynomial]] (or '''minimal polynomial''') for ''a''.
    7 KB (1,145 words) - 00:49, 20 October 2013
  • ...must also be algebraic over <math>\scriptstyle\mathbb{R}</math>, but its [[minimal polynomial]] cannot be of odd degree, because any such polynomial must have a real roo
    5 KB (924 words) - 16:35, 11 December 2008
  • * The [[minimal polynomial]] of ''A'' has no repeated roots;
    2 KB (230 words) - 02:39, 7 January 2009
  • ...ment]] α which also generates a [[power integral basis]]. If ''f'' is the minimal polynomial for α then the different is generated by ''f'''(α).
    2 KB (382 words) - 09:40, 12 June 2009
  • ...of eigenvectors: it is [[diagonalizable matrix|diagonalisable]] since its minimal polynomial polynomial ''X''<sup>2</sup>-''X'' has no repeated roots. The kernel and i
    15 KB (2,209 words) - 02:10, 14 February 2010
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