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# Commutatively

[kuh-myoo-tuh-tiv, kom-yuh-tey-tiv] /kəˈmyu tə tɪv, ˈkɒm yəˌteɪ tɪv/

1.
of or relating to commutation, exchange, substitution, or interchange.
2.
Mathematics.

/kəˈmjuːtətɪv; ˈkɒmjʊˌteɪtɪv/
1.
relating to or involving substitution
2.
(maths, logic)

1530s, from Medieval Latin commutativus, from Latin commutat-, past participle stem of commutare (see commute (v.)).
commutative
(kə-my’tə-tĭv, kŏm’yə-tā’tĭv)
Of or relating to binary operations for which changing the order of the inputs does not change the result of the operation. For example, addition is commutative, since a + b = b + a for any two numbers a and b, while subtraction is not commutative, since a – b ` a – b unless both a and b are zero. See also associative, distributive.

Tagged:

• Commutator

[kom-yuh-tey-ter] /ˈkɒm yəˌteɪ tər/ noun 1. Electricity. 2. Mathematics. the element equal to the product of two given elements in a group multiplied on the right by the product of the inverses of the elements. /ˈkɒmjʊˌteɪtə/ noun 1. a device used to reverse the direction of flow of an electric current 2. the segmented metal […]

• Commutator-group

noun, Mathematics. 1. the subgroup of a given group, which consists of all the commutators in the group.

• Commute

[kuh-myoot] /kəˈmyut/ verb (used with object), commuted, commuting. 1. to change (a prison sentence or other penalty) to a less severe one: The death sentence was commuted to life imprisonment. 2. to exchange for another or for something else; give and take reciprocally; interchange. 3. to change: to commute base metal into gold. 4. to […]

• Commuted

[kuh-myoot] /kəˈmyut/ verb (used with object), commuted, commuting. 1. to change (a prison sentence or other penalty) to a less severe one: The death sentence was commuted to life imprisonment. 2. to exchange for another or for something else; give and take reciprocally; interchange. 3. to change: to commute base metal into gold. 4. to […]

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