commutativity
Noun
Meaning
English Wikipedia has an article on:commutativityWikipedia
commutativity (usually uncountable, plural commutativities)
(mathematics, physics) The state of being commutative.
Synonyms
Phrases with the word
Examples
An arrow between two functors is a natural transformation when it is subject to certain naturality or commutativity conditions.
For example, a basic property of addition is commutativity which states that the order of numbers being added together does not matter.
In March 1926, working in Bohr's institute, Heisenberg realized that the non- commutativity implies the uncertainty principle.
From the commutativity of kets with (complex) scalars now follows that : must be the identity operator, which sends each vector to itself.
Explicitly, "behavior" includes obeying various axioms (associativity and commutativity of addition etc.), and preconditions on operations (cannot divide by zero).
By associativity and commutativity, the right-hand sides of these results are equal.