Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. The state of being commutative.
from the GNU version of the Collaborative International Dictionary of English
 n. the property of a binary operation or operator such that the result of one term operating on a second is equal to the result of the second term operating on the first.
Etymologies
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Examples

Application is not assumed to possess additional properties (such as commutativity), because its intended interpretation is function application.

You have to give up commutativity to get the quaternions.

Now you must give up both commutativity and associativity, but you still have a “division algebra.”

It could well be that there is a way of getting to the quasilocal, infinityfree expansion by solving the spacelike commutativity/anticommutativity requirement directly, but if there is, I have not found it yet.

For example the commutativity law x+y = y+x holds for all real values of x and y.

It follows that the noncommutativity of observables imposes limits on the possibilities of joint existence of properties.

Pruning because of the commutativity of conjunction, we get six combinations:

For instance, to express the commutativity of addition the user would enter the Lisp expression

A contrary indication is that it is not subject to the rules of change in a legal system  neither courts nor legislators can repeal or amend the law of commutativity.

The general commander of these regiments gets the informa  ¼ fby commutativity of _g G1 _: G1 _ G2 tion that some soldiers in regiment G3 cannot be ¼ fby definition of complementg G0 _ G2 trusted.
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