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Conjugation
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==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
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