Conjugation
Encyclopedia
Conjugation or conjugate may refer to:
- Conjugation (grammar), the modification of a verb from its basic form
- 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. If the extension is generated by a square root of an element...
, used to rationalize the denominator of a fraction - Conjugation (biochemistry), the turning of substances into a hydrophilic state in the body
- Conjugation (acid-base theory), a system describing a conjugate acid-base pair
- Conjugation (group theory), the image of an element under the conjugation homomorphisms
See also
- Conjugal (disambiguation)
- Bacterial conjugationBacterial conjugationBacterial conjugation is the transfer of genetic material between bacterial cells by direct cell-to-cell contact or by a bridge-like connection between two cells...
, a transfer of DNA without fusion - Complex conjugation, the operation that multiplies the imaginary part of a complex number by −1
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conj, a C mathematical function that computes the complex conjugate
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- Conformal conjugation in complex dynamicsComplex dynamicsComplex dynamics is the study of dynamical systems defined by iteration of functions on complex number spaces. Complex analytic dynamics is the study of the dynamics of specifically analytic functions.-Techniques:*General** Montel's theorem...
- Conjugate closureConjugate closureIn group theory, the conjugate closure of a subset S of a group G is the subgroup of G generated by SG, i.e. the closure of SG under the group operation, where SG is the conjugates of the elements of S:The conjugate closure of S is denoted or G.The conjugate closure of any subset S of a group G...
, the image of a subgroup under the conjugation homomorphisms - Conjugate element (field theory)Conjugate element (field theory)In mathematics, in particular field theory, the conjugate elements of an algebraic element α, over a field K, are the roots of the minimal polynomialof α over K.-Example:The cube roots of the number one are:...
, a generalization of complex conjugation - Conjugate focal planeConjugate focal planeIn optics, a conjugate focal plane of a given plane, P, is a plane P′ such that points on P are imaged at P′. In a telescope, the subject focal plane is at infinity and the conjugate image plane, at which the image sensor is placed, is said to be an infinite conjugate...
- Conjugate pointsConjugate pointsIn differential geometry, conjugate points are, roughly, points that can almost be joined by a 1-parameter family of geodesics. For example, on a sphere, the north-pole and south-pole are connected by any meridian.-Definition:...
, in differential geometry - Conjugate priorConjugate priorIn Bayesian probability theory, if the posterior distributions p are in the same family as the prior probability distribution p, the prior and posterior are then called conjugate distributions, and the prior is called a conjugate prior for the likelihood...
, in probability theory, a family of prior probability distributions - Conjugate quantities, observables that are linked by the Heisenberg uncertainty principle
- Conjugate transposeConjugate transposeIn mathematics, the conjugate transpose, Hermitian transpose, Hermitian conjugate, or adjoint matrix of an m-by-n matrix A with complex 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 - Conjugate vaccineConjugate vaccineA 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 - 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. In fact all thermodynamic potentials are expressed in terms of conjugate pairs....
, the internal energy of a system - Conjugated systemConjugated systemIn chemistry, a conjugated system is a system of connected p-orbitals with delocalized electrons in compounds with alternating single and multiple bonds, which in general may lower the overall energy of the molecule and increase stability. Lone pairs, radicals or carbenium ions may be part of the...
, a system of atoms covalently bonded with alternating single and multiple bonds - Convex conjugateConvex conjugateIn mathematics, convex conjugation is a generalization of the Legendre transformation. It is also known as Legendre–Fenchel transformation or Fenchel transformation .- Definition :...
, generalization of the Legendre transformation - Harmonic conjugateHarmonic conjugateIn mathematics, a function u defined on some open domain \Omega\subset\R^2 is said to have as a conjugate a function v if and only if they are respectively real and imaginary part of a holomorphic function f of the complex variable z:=x+iy\in\Omega. That is, v is conjugated to u if f:=u+iv is...
in complex analysis - Isogonal conjugateIsogonal conjugateIn geometry, the isogonal conjugate of a point P with respect to a triangle ABC is constructed by reflecting the lines PA, PB, and PC about the angle bisectors of A, B, and C. These three reflected lines concur at the isogonal conjugate of P...
- Inner automorphismInner automorphismIn abstract algebra an inner automorphism is a functionwhich, informally, involves a certain operation being applied, then another one performed, and then the initial operation being reversed...
, a type of conjugation homomorphism - Sexual conjugation, a type of isogamy in eukaryotes
- Topological conjugationTopological conjugationIn 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