{s} pertaining to commutation (exchange, replacement; conversion; act of traveling back and forth regularly)
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
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
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 dyadic operation in which exchanging the two argument values must produce the same result: a + b = b + a Also see: associative and distributive
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
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
from left to right or from right to left gives the same result -- "Commutative Property" (63)
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)
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