Conjugation

{{Wiktionary|conjugation|conjugate}} '''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 *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 functions 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 (anatomy), a type of pelvic measurement *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}} *{{In title|conjugated}}

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Category:Linguistics disambiguation pages Category:Mathematics disambiguation pages Category:Biology disambiguation pages