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  • In [[mathematics]], a '''linear map''' (also called a '''linear transformation''' or '''linear operator''') is In [[abstract algebra]], a linear map is a [[homomorphism]] of vector spaces.
    1 KB (196 words) - 17:24, 20 December 2007
  • 12 bytes (1 word) - 17:27, 20 December 2007
  • 147 bytes (18 words) - 09:35, 4 September 2009
  • Auto-populated based on [[Special:WhatLinksHere/Linear map]]. Needs checking by a human.
    559 bytes (73 words) - 18:06, 11 January 2010

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  • In [[mathematics]], a '''linear map''' (also called a '''linear transformation''' or '''linear operator''') is In [[abstract algebra]], a linear map is a [[homomorphism]] of vector spaces.
    1 KB (196 words) - 17:24, 20 December 2007
  • {{r|Linear map}}
    544 bytes (70 words) - 18:06, 11 January 2010
  • * [[Kernel of a linear map]] on a [[linear space]]: the vectors mapped onto the zero vector (is a subs
    387 bytes (58 words) - 09:26, 30 September 2009
  • Auto-populated based on [[Special:WhatLinksHere/Linear map]]. Needs checking by a human.
    559 bytes (73 words) - 18:06, 11 January 2010
  • ...py of ''R'' in the [[centre of a ring|centre]]). A derivation is an ''R''-linear map ''D'' from ''A'' to some ''A''-module ''M'' with the property that
    2 KB (361 words) - 16:44, 4 January 2013
  • {{r|Linear map}}
    949 bytes (118 words) - 16:12, 11 January 2010
  • ...ntegrability conditions). Then a '''linear system''' ''L'' is simply a ''[[linear map]]'' <math>L:\mathcal{U}\rightarrow \mathcal{Y}</math>.
    3 KB (502 words) - 12:53, 22 February 2010
  • ...delta]]. The identity matrix represents the [[identity function]] as a [[linear map|linear operator]] on a [[vector space]].
    1,020 bytes (136 words) - 10:39, 23 April 2009
  • {{r|Linear map}}
    1 KB (172 words) - 15:25, 15 May 2011
  • ...part from being an array of complex numbers, ''M'' can also be viewed as a linear map or operator from ℂ<sup>''n''</sup> to itself. In order to generalize the
    5 KB (914 words) - 08:41, 17 October 2009
  • ...hbf{R}^n \rightarrow \mathbf{R}^m</math> and <math>\mathrm{D}G</math> is a linear map from <math>\mathbf{R}^m \rightarrow \mathbf{R}^p</math>. Then <math>F \cir
    2 KB (434 words) - 08:22, 8 November 2008
  • {{r|Linear map}}
    511 bytes (64 words) - 19:03, 11 January 2010
  • {{r|Linear map}}
    507 bytes (65 words) - 07:17, 22 July 2011
  • The derivative <math>\mathrm{D}F</math>, if it exists, is a linear map and hence may be represented by a [[matrix]]. The entries in the matrix ar ...ly defined as <math>D : X^n \mapsto n.X^{n-1}</math> and this extends to a linear map ''D'' on the [[polynomial ring]] <math>R[X]</math> over any [[ring theory|r
    5 KB (861 words) - 14:04, 23 February 2011
  • ...straints''), where some of the constraints or the objective function are [[Linear map|nonlinear]].
    3 KB (405 words) - 18:02, 1 January 2008
  • ...as <math>\scriptstyle \mathcal{H}</math>). A quantum operation ''T'' is a linear map that takes any element of <math>\scriptstyle \mathcal{D}(\mathcal{H})</math ...si_i^*</math>. The quantum operation associated with this measurement is a linear map <math>\scriptstyle T</math> from <math>\scriptstyle \mathcal{D}(\mathbb{C}
    4 KB (681 words) - 12:41, 22 February 2010
  • {{r|Linear map}}
    1 KB (146 words) - 16:32, 11 January 2010
  • ...e [[additive identity]] for [[matrix addition]]. It represents the zero [[linear map]].
    1 KB (172 words) - 16:40, 6 February 2009
  • ...ing map, i.e. χ:'''g'''→'''k''' : ''X'' → tr ρ(''X''). The character is a linear map, but unfortunately it vanishes on commutators, i.e. χ[''X'',''Y''] = tr (�
    4 KB (670 words) - 21:07, 22 December 2011
  • Given two points ''O'' and ''O''&prime; and a linear map &phi;: ''V'' &rarr; ''V''. There exists exactly one affine map that sends ...n]]'' of a Euclidean space is an affine map which preserves distances. The linear map &phi; on ''V'' is then a [[rotation]]. Conversely, given a rotation &phi; a
    15 KB (2,366 words) - 09:09, 4 April 2010
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