Conjugation

Conjugation or conjugate may refer to:

Linguistics

Grammatical conjugation, the modification of a verb from its basic form

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 elementwise complex conjugate of a matrix's transpose

In group theory, various notions are called conjugation:

Matrix similarity, also called matrix conjugation

Conjugation (group theory), the analogous operation in arbitrary groups

Conjugacy class, a collection of group elements related by conjugation

Inner automorphism, the function that conjugation by a fixed element defines

Conjugate closure, the image of a subgroup under the overgroup's inner automorphisms

Topological conjugation, which identifies equivalent dynamical systems

Conjugate words in combinatorics

Harmonic conjugate in complex analysis

Convex conjugate, the ("dual") lower-semicontinuous convex function resulting from the Legendre–Fenchel transformation of a "primal" function

Conjugate (graph theory), an alternative term for a line graph, i.e.