noun
- plural of commutativity; the quality or property of being commutative, especially in mathematics where the order of operands does not affect the result
Usage: technical; mathematics
Examples
- The commutativities of addition and multiplication are fundamental properties taught in elementary algebra.
- In abstract algebra, mathematicians study the commutativities of various operations on different structures.
- The commutativities of certain group operations determine whether the group is abelian.
- Students learn about commutativities when they discover that 3 + 5 equals 5 + 3.
- The commutativities of logical operations like AND and OR are important in computer science and digital logic design.