commutativity's Usage Examples:

The commutativity of addition is observed when paying for an item with cash.

In propositional logic, the commutativity of conjunction is a valid argument form and truth-functional tautology.

properties of addition of the natural numbers: the additive identity, commutativity, and associativity.

In mathematics, a commutativity constraint γ {\displaystyle \gamma } on a monoidal category C {\displaystyle {\mathcal {C}}} is a choice of isomorphism.

axioms restrict the causal structure of the theory by imposing either commutativity or anticommutativity between spacelike separated fields.

Associativity is not the same as commutativity, which addresses whether the order of two operands affects the result.

group theory, the commuting probability (also called degree of commutativity or commutativity degree) of a finite group is the probability that two randomly.

By commutativity, p(h(c)) = 0.

By commutativity, s(m(b)).

|x − y| = |y − x|     (symmetry or commutativity).

As in the matrix case, normality means commutativity is preserved, to the extent possible, in the noncommutative setting.

"Testing commutativity of a group and the power of randomization".

y})}=x} as being equivalent to Boolean algebra, when combined with the commutativity of the OR operation, x ∨ y = y ∨ x {\displaystyle x\lor y=y\lor x} .

"Éléments de géométrie algébrique", on the other hand, does not impose the commutativity assumption, although the book mostly considers the commutative case.

One special case where commutativity does occur is when D and E are two (square) diagonal matrices (of the.