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- Conjugal redirects here. For the type of prison visit, see conjugal visit.
Conjugation may refer to:
- Grammatical conjugation, the modification of a verb from its basic form.
- Marriage, relationship between two or more individuals.
- Complex conjugation, the operation which multiplies the imaginary part of a complex number by −1; see also conjugate element (field theory).
- The conjugate transpose of a matrix with complex entries is created by taking the transpose of the matrix and the complex conjugate of each entry.
- A conjugate in algebra is similar to a complex conjugate, but is used to rationalize the denominator of a fraction.
- In group theory, if a is an element of a group, then the map f(x) = axa−1 is called conjugation by a. See inner automorphism, conjugacy class, conjugate closure, and conjugation of isometries in Euclidean space.
- Topological conjugation, which identifies equivalent dynamical systems.
- Conjugate points, in differential geometry.
- Conjugate prior, in probability theory, a family of prior probability distributions.
- Convex conjugate, generalization of the Legendre transformation. Also known as Legendre-Fenchel transformation or Fenchel transformation.
- A Conjugate element in field theory.
In the biosciences:
- In biology, transmission of DNA without fusion of gametes. This includes bacterial conjugation, which takes place without fusion; conjugation in ciliates, which involves fusion of nuclei but not cells; and conjugation in certain algae and fungi, which involves fusion of cells but not filaments.
- In immunology, a conjugate vaccine
- In metabolism, conjugation is a biochemical process to bind a substance to an acid and thereby deactivating its biological activity, making it water-soluble, and facilitating its excretion.
- a conjugate acid-base pair is one base and one acid which differ from each other by one proton (H+), as defined by the Brønsted-Lowry acid-base theory
- In organic chemistry, a conjugated system is a system of atoms covalently bonded with alternating single and multiple bonds.
- In biochemistry: (see metabolism above)
- Conjugate variables (thermodynamics), the internal energy of a system.
- Conjugate quantities, in quantum physics, are observables that are linked by the Heisenberg uncertainty principle, such as position and momentum.