Frequency-resolved optical gating: Difference between revisions

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m Corrected Dan Kane to Daniel J. Kane. Name abbreviation not appropriate...
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<!-- NOTE: This article is also transcluded in the disambiguation page [[Inverse]] -->
In many contexts in mathematics the term '''inverse''' indicates the opposite of something. This word and its derivatives are used widely in [[mathematics]], as illustrated below.
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* [[Inverse element]] of an element ''x'' with respect to a binary operation * with identity element ''e'' is an element ''y'' such that ''x'' * ''y'' = ''y'' * ''x'' = ''e''. In particular,
** the [[additive inverse]] of ''x'' is ''−x'';
** the [[multiplicative inverse]] or reciprocal of ''x'' is ''x''<sup>–1</sup>.
** [[inverse function]] &mdash; inverse element with respect to function composition: a function that "reverses" the action of a given function: ''f''<sup>–1</sup>(''f''(''x'')) = ''x''.
* [[Inversion in a point]] &mdash; a geometric transform.
* [[Circle inversion]] &mdash; another particular geometric transformation of a plane that maps the outside of a circle to the inside and vice-versa.
* [[Inverse limit]] &mdash; a notion in abstract algebra.
* [[Inverse (logic)]] &mdash; ~''p'' → ~''q'' is the inverse of ''p'' → ''q''.
* [[Inverse matrix]] &mdash; inverse element with respect to matrix multiplication.
* [[Pseudoinverse]], a generalization of the inverse matrix.
* [[Inverse proportion]], also ''inversely proportional'' &mdash; a  relationship between two variables ''x'' and ''y'' characterized by the equation <math>y=k/x.</math>
* [[Inverse problem]] &mdash; the task of identifying model parameters from observed data; see for example
**[[inverse scattering problem]]
**[[inverse kinematics]]
**[[inverse dynamics]].
* [[Reverse perspective|Inverse perspective]] &mdash; the further the objects, the larger they are drawn.
*[[Inverse semigroup]]
*Inverse of an element in a [[semigroup]]
* [[Inverse-square law]] &mdash; the magnitude of a force is proportional to the inverse square of the distance.
* [[Inverse transform sampling]] &mdash; generate some random numbers according to a given probability distribution.
* [[Inverse chain rule method]] &mdash; related to integration and differentiation.
* [[Permutation_groups#Simple_transpositions.2C_inversions_and_sorting|Inversion of elements]], a pair of adjacent out-of-order elements of a permutation (viewed as a list).
* [[Inverse relation]]
* [[Inversion transformation]], an extension of [[Poincaré transformation]].
 
==See also==
* [[Inversion (disambiguation)]]
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[[Category:Mathematical terminology]]
 
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Latest revision as of 19:56, 28 September 2014

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