Conjugation or conjugate may refer to:
Linguistics
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Grammatical conjugation, the modification of a verb from its basic form
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Emotive conjugation or Russell's conjugation, the use of loaded language
Mathematics
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Complex conjugation, the change of sign of the imaginary part of a complex number
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Conjugate (square roots), the change of sign of a square root in an expression
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Conjugate element (field theory), a generalization of the preceding conjugations to roots of a polynomial of any degree
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Conjugate transpose, the complex conjugate of the transpose of a matrix
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Harmonic conjugate in complex analysis
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Conjugate (graph theory), an alternative term for a line graph, i.e. a graph representing the edge adjacencies of another graph
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In group theory, various notions are called conjugation:
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Inner automorphism, a type of conjugation homomorphism
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Conjugacy class in group theory, related to matrix similarity in linear algebra
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Conjugation (group theory), the image of an element under the conjugation homomorphisms
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Conjugate closure, the image of a subgroup under the conjugation homomorphisms
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Conjugate words in combinatorics; this operation on strings resembles conjugation in groups
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Isogonal conjugate, in geometry
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Conjugate gradient method, an algorithm for the numerical solution of particular systems of linear equations
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Conjugate points, in differential geometry
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Topological conjugation, which identifies equivalent dynamical systems
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Convex conjugate, the ("dual") lower-semicontinuous convex function resulting from the Legendre–Fenchel transformation of a "primal" function
Probability and statistics
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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)
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Conjugate pairing of probability distributions, in the Fourier-analytic theory of characteristic functions and statistical mechanics
Science
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Sexual conjugation, a type of isogamy in unicellular eukaryotes
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Bacterial conjugation, a mechanism of exchange of genetic material between bacteria
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Conjugate vaccine, in immunology
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Conjugation (biochemistry), covalently linking a biomolecule with another molecule
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Conjugate (acid-base theory), a system describing a conjugate acid-base pair
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Conjugated system, a system of atoms covalently bonded with alternating single and multiple bonds
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Conjugate variables (thermodynamics), pairs of variables that always change simultaneously
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Conjugate quantities, observables that are linked by the Heisenberg uncertainty principle
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Conjugate focal plane, in optics
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Charge conjugation
See also