Mathematical Definitions
Further information: Symmetric functionThe term "commutative" is used in several related senses.
1. A binary operation on a set S is called commutative if:
An operation that does not satisfy the above property is called noncommutative.
2. One says that x commutes with y under if:
3. A binary function is called commutative if:
Read more about this topic: Commutative Property
Famous quotes containing the words mathematical and/or definitions:
“It is by a mathematical point only that we are wise, as the sailor or the fugitive slave keeps the polestar in his eye; but that is sufficient guidance for all our life. We may not arrive at our port within a calculable period, but we would preserve the true course.”
—Henry David Thoreau (1817–1862)
“The loosening, for some people, of rigid role definitions for men and women has shown that dads can be great at calming babies—if they take the time and make the effort to learn how. It’s that time and effort that not only teaches the dad how to calm the babies, but also turns him into a parent, just as the time and effort the mother puts into the babies turns her into a parent.”
—Pamela Patrick Novotny (20th century)