Conjugation

• 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 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==