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Conjugation
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{{Wiktionary}} '''Conjugation''' or '''conjugate''' may refer to: {{TOC right}} ==Linguistics== *[[Grammatical conjugation]], the modification of a verb from its basic form <!-- there are numerous articles such as [[Dutch conjugation]], [[French conjugation]], [[Latin conjugation]]; probably not advisable to list all of them here --> *[[Emotive conjugation]] or Russell's conjugation, the use of loaded language ==Mathematics== *[[Complex conjugation]], the change of sign of the imaginary part of a complex number *[[Conjugate (square roots)]], the change of sign of a square root in an expression *[[Conjugate element (field theory)]], a generalization of the preceding conjugations to roots of a polynomial of any degree *[[Conjugate transpose]], the complex conjugate of the transpose of a matrix *[[Harmonic conjugate]] in complex analysis *[[Conjugate (graph theory)]], an alternative term for a line graph, i.e. a graph representing the edge adjacencies of another graph *In group theory, various notions are called conjugation: **[[Inner automorphism]], a type of conjugation homomorphism **[[Conjugacy class]] in group theory, related to matrix similarity in linear algebra **[[Conjugation (group theory)]], the image of an element under the conjugation homomorphisms **[[Conjugate closure]], the image of a subgroup under the conjugation homomorphisms *[[Free monoid#Conjugate words|Conjugate words]] in combinatorics; this operation on strings resembles conjugation in groups *[[Isogonal conjugate]], in geometry *[[Conjugate gradient method]], an algorithm for the numerical solution of particular systems of linear equations *[[Conjugate points]], in differential geometry *[[Topological conjugation]], which identifies equivalent dynamical systems *[[Convex conjugate]], the ("dual") lower-semicontinuous convex function resulting from the Legendre–Fenchel transformation of a "primal" function ==Probability and statistics== * [[Conjugate prior]], in Bayesian statistics, a family of probability distributions that contains a prior and the posterior distributions for a particular likelihood function (particularly for one-parameter exponential families) * Conjugate pairing of probability distributions, in the Fourier-analytic theory of [[characteristic function (probability theory)|characteristic function]]s and statistical mechanics ==Science== *[[Sexual conjugation]], a type of isogamy in unicellular eukaryotes *[[Bacterial conjugation]], a mechanism of exchange of genetic material between bacteria *[[Conjugate vaccine]], in immunology *[[Conjugation (biochemistry)]], covalently linking a biomolecule with another molecule *[[Conjugate (acid-base theory)]], a system describing a conjugate acid-base pair *[[Conjugated system]], a system of atoms covalently bonded with alternating single and multiple bonds *[[Conjugate variables (thermodynamics)]], pairs of variables that always change simultaneously *[[Conjugate quantities]], observables that are linked by the Heisenberg uncertainty principle *[[Conjugate focal plane]], in optics *[[Charge conjugation]] ==See also== *[[Conjugal (disambiguation)]] *[[Conjoint]] *{{In title|conjugation}} *{{In title|conjugate}} {{Disambiguation}} [[Category:Linguistics disambiguation pages]] [[Category:Mathematics disambiguation pages]] [[Category:Biology disambiguation pages]]
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