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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 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
    • 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
  • , in differential geometry
  • Topological conjugation, which identifies equivalent dynamical systems
  • , the ("dual") lower-semicontinuous convex function resulting from the Legendre–Fenchel transformation of a "primal" function


Probability and statistics
  • , 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 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

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