TheInfoList

Commute, commutation or commutative may refer to: *
Commuting Commuting is periodically recurring travel between one's place of residence and place of work or study, where the traveler leaves the boundary of their home community. By extension, it can sometimes be any regular or often repeated travel ... , the process of travelling between a place of residence and a place of work

# Mathematics

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Commutative property In mathematics Mathematics (from Ancient Greek, Greek: ) includes the study of such topics as quantity (number theory), mathematical structure, structure (algebra), space (geometry), and calculus, change (mathematical analysis, analysis). I ...
, a property of a mathematical operation whose result is insensitive to the order of its arguments **
Equivariant map In mathematics Mathematics (from Ancient Greek, Greek: ) includes the study of such topics as quantity (number theory), mathematical structure, structure (algebra), space (geometry), and calculus, change (mathematical analysis, analysis). It h ... , a function whose composition with another function has the commutative property **
Commutative diagram 350px, The commutative diagram used in the proof of the five lemma. In mathematics, and especially in category theory, a commutative diagram is a Diagram (category theory), diagram such that all directed paths in the diagram with the same start an ... , a graphical description of commuting compositions of arrows in a mathematical category **
Commutative semigroup In mathematics Mathematics (from Ancient Greek, Greek: ) includes the study of such topics as quantity (number theory), mathematical structure, structure (algebra), space (geometry), and calculus, change (mathematical analysis, analysis). I ...
,
commutative monoid In abstract algebra, a branch of mathematics Mathematics (from Ancient Greek, Greek: ) includes the study of such topics as quantity (number theory), mathematical structure, structure (algebra), space (geometry), and calculus, change (ma ...
,
abelian group In mathematics Mathematics (from Greek: ) includes the study of such topics as numbers ( and ), formulas and related structures (), shapes and spaces in which they are contained (), and quantities and their changes ( and ). There is no g ...
, and
commutative ring In , a branch of , a commutative ring is a in which the multiplication operation is . The study of commutative rings is called . Complementarily, is the study of s where multiplication is not required to be commutative. Definition and first e ...
, algebraic structures with the commutative property **
Commuting matricesIn linear algebra, two matrices A and B are said to commute if AB=BA, or equivalently if their commutator ,B AB-BA is zero. A set of matrices A_1, \ldots, A_k is said to commute if they commute pairwise, meaning that every pair of matrices in th ...
, sets of matrices whose products do not depend on the order of multiplication **
Commutator In mathematics Mathematics (from Greek: ) includes the study of such topics as numbers ( and ), formulas and related structures (), shapes and spaces in which they are contained (), and quantities and their changes ( and ). There is no gene ...
, a measure of the failure of two elements to be commutative in a group or ring

# Science and technology

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Commutator (electric) A commutator is a rotary electrical switch In electrical engineering Electrical engineering is an engineering discipline concerned with the study, design, and application of equipment, devices, and systems which use electricity, electroni ...
, a rotary switch on the shaft of an electric motor or generator * Commutation (neurophysiology), how certain neural circuits in the brain exhibit noncommutativity *
Commutation (telemetry) In telemetry, commutation is a process whereby multiple data streams ("measurands"), possibly with differing data rates, are combined into a single frame-based stream for transmission, before being separated again (decommutated) upon reception; ...
, a form of time-division multiplexing * Commutation, a synonym for
packet switching In telecommunication Telecommunication is the transmission of information by various types of technologies over wire A wire is a single usually cylindrical A cylinder (from Greek Greek may refer to: Greece Anything of, from, or re ...
in computer networking and telecommunications

# Other uses

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Commutation (law) In law, a commutation is the substitution of a lesser penalty for that given after a conviction for a crime. The penalty can be lessened in severity, in duration, or both. Unlike most pardon A pardon is a government decision to allow a per ...
(of sentence), a reduction in severity of punishment * Commutation (finance) (law) to lessen periodic dues (usually rents, fares or tithes) by paying a lump sum * Commutation (finance) under a cash option, encashment. The act of a
pension A pension (, from Latin Latin (, or , ) is a classical language A classical language is a language A language is a structured system of communication Communication (from Latin ''communicare'', meaning "to share" or "to be ... member/annuitant who gives up part or all in exchange for a lump sum payment. {{disambiguation