Conjugation

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Conjugation

Conjugal redirects here. For the type of prison visit, see conjugal visit
Conjugal visit

A conjugal visit is a scheduled extended visit during which an inmate of a prison is permitted to spend several hours or days in private, usually with a legal spouse....
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Conjugation may refer to:

Grammatical conjugation
Grammatical conjugation

In linguistics, conjugation is the creation of derived forms of a verb, noun or adjective from its principal parts by inflection . Conjugation may be affected by grammatical person, grammatical number, grammatical gender, grammatical tense, Grammatical aspect, grammatical mood, grammatical voice, or other grammatical category....
, the modification of a verb from its basic form, including:

Latin conjugation
Latin conjugation

Grammatical conjugation is the creation of derived forms of a verb from basic forms or principal parts. It may be affected by Grammatical person, Grammatical number, Grammatical gender, Grammatical tense, Grammatical mood, Grammatical voice or other language-specific factors....
Spanish conjugation
Spanish conjugation

This is a paradigm of Spanish language verbs, that is, a set of grammatical conjugation tables, for the model regular verbs and for some of the most common irregular verbs ....
English verb

Marriage
Marriage

Marriage is a social, spirituality, or law union of individuals. This union may also be called matrimony, while the ceremony that marks its beginning is usually called a wedding and the married status created is sometimes called wedlock....
, relationship between two or more individuals.

In mathematics:

Complex conjugation, the operation which multiplies the imaginary part of a complex number by −1;
conjugate element (field theory)
Conjugate element (field theory)

In mathematics, in particular field theory , the conjugate elements of an algebraic element a, over a field K, are the roots of the minimal polynomial ...
, a generalization of complex conjugation
The conjugate transpose
Conjugate transpose

In mathematics, the conjugate transpose, Hermitian transpose, or adjoint matrix of an m-by-n matrix A with complex number entries is the n-by-m matrix A* obtained from A by taking the transpose and then taking the complex conjugate of each entry....
of a matrix with complex entries is created by taking the transpose of the matrix and the complex conjugate of each entry.
Conjugate (algebra)
Conjugate (algebra)

In algebra, a conjugate of an element in a quadratic extension field of a field K is its image under the unique non-identity automorphism of the extended field that fixes K....
, used to rationalize the denominator of a fraction.
In group theory, various notions are called conjugation:

inner automorphism
Inner automorphism

In abstract algebra, an inner automorphism of a group G is a function defined bywhere a is a given fixed element of G.The operation axa-1 is called conjugation ....
, a type of conjugation homomorphism
conjugacy class
Conjugacy class

In mathematics, especially group theory, the elements of any group may be partition of a set into conjugacy classes; members of the same conjugacy class share many properties, and study of conjugacy classes of non-abelian groups reveals many important features of their structure....
, the image of an element under the conjugation homomorphisms
conjugate closure
Conjugate closure

In group theory, the conjugate closure of a subset S of a group G is the subgroup of G generating set of a group by SG, i.e....
, the image of a subgroup under the conjugation homomorphisms
conjugation of isometries in Euclidean space
Conjugation of isometries in Euclidean space

In a Group , the conjugate by g of h is ghg-1....
, an explicit description of the images of elements under conjugation in a special case

Topological conjugation
Topological conjugation

In mathematics, two functions are said to be topologically conjugate to one another if there exists a homeomorphism that will conjugate the one into the other....
, which identifies equivalent dynamical systems.
Conjugate points
Conjugate points

In differential geometry, conjugate points are, roughly, points that can almost be joined by a 1-parameter family of geodesics. For example, on a Spherical geometry, the north-pole and south-pole are connected by any Meridian ....
, in differential geometry.
Conjugate prior
Conjugate prior

In Bayesian probability theory, a class of prior probability distributions p is said to be conjugate to a class of likelihood functions p if the resulting posterior probability p are in the same family as p; the prior and posterior are then called conjugate distributions, and the prior is called a conjugate prior f...
, in probability theory, a family of prior probability distributions.
Convex conjugate
Convex conjugate

In mathematics, convex conjugation is a generalization of the Legendre transformation. It is also known as Legendre?Fenchel transformation or Fenchel transformation....
, generalization of the Legendre transformation. Also known as Legendre-Fenchel transformation or Fenchel transformation.
conformal conjugation in complex dynamics

In the biosciences:

bacterial conjugation
Bacterial conjugation

Bacterial conjugation is the transfer of genetic material between bacteria through direct cell-to-cell contact. Discovered in 1946 by Joshua Lederberg and Edward Tatum, conjugation is a mechanism of horizontal gene transfer—as are Transformation and Transduction —although these mechanisms do not involve cell-to-cell contact....
, transfer of DNA without fusion
conjugate vaccine
Conjugate vaccine

A conjugate vaccine is created by covalently attaching a poor antigen to a carrier protein, thereby conferring the immunological attributes of the carrier on the attached antigen....
, in immunology
xenobiotic conjugation, turning substances hydrophilic to avail excretion from the body

In chemistry:

Brønsted-Lowry acid-base theory, describes a conjugate acid-base pair
conjugated system
Conjugated system

A conjugated system occurs in an organic compound where atoms covalently Chemical bond with alternating single and multiple bonds and influence each other to produce a region called electron delocalization....
, in organic chemistry, a system of atoms covalently bonded with alternating single and multiple bonds.

In physics:

Conjugate variables (thermodynamics)
Conjugate variables (thermodynamics)

In thermodynamics, the internal energy of a system is expressed in terms of pairs of conjugate variables such as temperature/entropy or pressure/volume....
, 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.