commutativity

1 9.2

A property of a calculation where changing the order of numbers does not change the result

noun
/kəˌmjuːtəˈvɪti/

Specialized

: conmutatividad

You have now created a shared secret based on the commutativity of exponentiation.

Examples

Commutativity is important because, along with other conditions, it implies that the model can be integrated to yield exact solutions.

Academic text (2005)
So that says that we can now define commutativity depending on methods, arguments and also the results of a calls.
Both the commutativity of twist and the relaxation of braids into minimal patterns have relevance here.

Academic text (1996)
In mathematics, commutativity ensures that the order in which we add numbers does not affect the sum, such as in 3 + 5 equals 5 + 3.
The commutativity of multiplication means that changing the order of the factors will not change the product, as shown in 4 * 7 equals 7 * 4.
Understanding commutativity is essential for solving equations correctly, since the order of addition or multiplication does not alter the final result.

Synonyms

permutability

vscommutativity

Specialized

9.9

A property that lets you change the order of things

requires that rearranging elements leaves the result unchanged

Surface Forms

commutativity singular

commutativities plural

Morphology

commutativity = commutative (semi-transparent) = commut + ive + ity

Forming a noun with '-ity' from the adjective 'commutative' is a regular and transparent derivation.

Etymology

Commutativity comes from an old Latin word commutare, which means 'to change' or 'exchange'. So commutativity is the idea that you can swap the order of things and still get the same result.