Home > Conjugation
The word conjugation has several meanings:- Grammatical conjugation is the modification of a verb from its basic form.
- In biology, conjugation is sexual reproduction involving interchange of DNA between cells, rather than their fusion. Various forms of conjugation exist in different groups, such as bacteria (see bacterial conjugation) and ciliates.
- In mathematics, the term is used in two senses:
- complex conjugation is the operation which multiplies the imaginary part of a complex number by -1.
- if a is an element of a group, then the map f(x) = axa-1 is called conjugation by a. See inner automorphism, conjugacy classIn mathematics, the elements of any group may be partitioned into conjugacy classes members of the same conjugacy class share many properties, and study of conjugacy classes reveals many important features of a group's structure. Definition Suppose G is a and conjugate closureIn group theory, the conjugate closure of a subset S of a group G is the subgroup of G which is generated by the elements of S and their conjugates S G x ∈ G | there exists g ∈ G and s ∈ S such that x g minus;1''sg , The conjugate closure o
- In organic chemistryOrganic chemistry is the scientific study of the structure, properties, composition, reactions, and synthesis of organic compounds. Organic nomenclature Organic nomenclature is the system established for naming and grouping organic compounds. Aliphatic co, conjugation is the interaction between two carbon-carbon double bonds, increasing stability and thereby lowering the overall energy of the molecule. The system formed is called a conjugated systemA chemically conjugated system is a system of atoms covalently bonded with alternating single and double bonds (e. C C-C C-C). This system results in a general delocalization of the electrons which increases stability and thereby lowers the overall energy.
See also: conjugateConjugate can be: in mathematics in terms of complex numbers, the complex conjugate; more generally see conjugate element (field theory). in differential geometry, Conjugate points in group theory, Conjugacy class or Conjugate closure an operation on Lati
Disambiguation
