Conjugation
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Conjugation or conjugate may refer to:
Linguistics
- Grammatical conjugation, the modification of a verb from its basic form
Mathematics
- Conjugate (algebra), used to rationalize the denominator of a fraction
- Complex conjugation, the involution multiplying the imaginary part of a complex number by −1
- Conjugate element (field theory), a generalization of complex conjugation
- Conjugate transpose of a matrix, especially the Hermitian 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
- Conjugation 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
- 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
- Conformal conjugation in complex dynamics
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
Biology
- Sexual conjugation, a type of isogamy in eukaryotes
- Conjugation (microbiology), a mechanism of exchange of genetic material between bacteria
- Conjugation (biochemistry), the turning of substances into a hydrophilic state in the body
- Conjugate vaccine, in immunology
Chemistry
- Conjugation (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
Physics
- Conjugate variables (thermodynamics), the internal energy of a system
- Conjugate quantities, observables that are linked by the Heisenberg uncertainty principle
- Conjugate focal plane, in optics
See also
- Conjugal (disambiguation)
- All pages with titles containing conjugation
- All pages with titles containing conjugate
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