Conjugation Totally Explained

Everything about Conjugate totally explained

ť 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.
- Latin conjugation, Spanish conjugation and the English verb, each with complex conjugation forms.
Marriage, relationship between two or more individuals.

In mathematics:

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. In chemistry:

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) In physics:

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.Further Information

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