Commute

Template:Sister project Commute, commutation or commutative may refer to:

• Commuting, the process of travelling between a place of residence and a place of work

Mathematics

• Commutative property, a property of a mathematical operation whose result is insensitive to the order of its arguments
  • Equivariant map, a function whose composition with another function has the commutative property
  • Commutative diagram, a graphical description of commuting compositions of arrows in a mathematical category
  • Commutative semigroup, commutative monoid, abelian group, and commutative ring, algebraic structures with the commutative property
  • Commuting matrices, sets of matrices whose products do not depend on the order of multiplication
  • Commutator, a measure of the failure of two elements to be commutative in a group or ring
• Commutation matrix, a permutation matrix which is used for transforming the vectorized form of another matrix into the vectorized form of its transpose

Science and technology

• Commutator (electric), 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), a form of time-division multiplexing
• Commutation, a synonym for packet switching in computer networking and telecommunications

Other uses

• Commutation (law) (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 member/annuitant who gives up part or all in exchange for a lump sum payment.

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