commutative

listen to the pronunciation of commutative
Englisch - Englisch
Having a commutative operation
Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism
Such that the order in which the operands are taken does not affect their image under the operation

Addition on the real numbers is commutative because for any real numbers s,t, s+t=t+s.

{a} relating to exchange or barter
{a} relating to exchanged or put off
{s} pertaining to commutation (exchange, replacement; conversion; act of traveling back and forth regularly)
such that, for any operands a, b , a * b = b * a
from left to right or from right to left gives the same result -- "Commutative Property" (63)
When a mathematical operation yields the same result regardless of the order the objects are operated on For example, if a, b are integers, then a+b = b+a, that is, addition of integers is commutative
When a mathematical operator yields the same result regardless of the order the objects are operated on For example if a, b are integers then a+ b = b+a, that is, the addition operator acting on integers is commutative
Relative to exchange; interchangeable; reciprocal
When a mathematical operator yields the same result regardless of the order the objects are operated on For example if a, b are integers then a+b = b+a, that is, the addition operator acting on integers is commutative
A dyadic operation in which exchanging the two argument values must produce the same result: a + b = b + a Also see: associative and distributive
A result is commutative when the order of the numbers is not important As 3+2 is the same as 2+3 addition is commutative, but 3-2 is not the same as 2-3 so subtraction is not Multiplication is commutative, division is not
"a x b = b x a
of a binary operation; independent of order; as in e g "a x b = b x a"
of a binary operation; independent of order; as in e
Two operators or operations are said to be commutative if the result of the first applied before the second is the same as that of the second applied before the first
commutative justice
The state resulting from fair and free exchange
commutative law
Two closely related laws of number operations. In symbols, they are stated: a + b = b + a and ab = ba. Stated in words: Quantities to be added or multiplied can be combined in any order. More generally, if two procedures give the same result when carried out in arbitrary order, they are commutative. Exceptions occur (e.g., in vector multiplication)
commutative group
A mathematical group in which the result of multiplying one member by another is independent of the order of multiplication. Also called abelian group
commutative law
law asserting that the order in which certain operations is performed is indifferent (Mathematics)
commutative law
Two closely related laws of number operations. In symbols, they are stated: a + b = b + a and ab = ba. Stated in words: Quantities to be added or multiplied can be combined in any order. More generally, if two procedures give the same result when carried out in arbitrary order, they are commutative. Exceptions occur (e.g., in vector multiplication). See also associative law, distributive law
commutative
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