commutativity love

# commutativity

## Definitions

• 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

Sorry, no etymologies found.

## Examples

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

Combinatory Logic

• You have to give up commutativity to get the quaternions.

The Volokh Conspiracy » Yow!

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

The Volokh Conspiracy » Yow!

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

String Theory is Losing the Public Debate

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

Algebra

• It follows that the non-commutativity of observables imposes limits on the possibilities of joint existence of properties.

Modal Interpretations of Quantum Mechanics

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

Deontic Logic

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

Automated Reasoning

• 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.

Legal Positivism

• 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.