commutative love

# commutative

## Definitions

### from The American Heritage® Dictionary of the English Language, 5th Edition.

• adjective Relating to, involving, or characterized by substitution, interchange, or exchange.
• adjective Independent of order. Used of a logical or mathematical operation that combines objects or sets of objects two at a time. If a × b = b × a, the operation indicated by × is commutative.

### from The Century Dictionary.

• Relating to exchange; interchangeable; mutual: as, commutative justice (that is, justice which is mutually done and received).

### from the GNU version of the Collaborative International Dictionary of English.

• adjective Relative to exchange; interchangeable; reciprocal.
• adjective (Math.) having the property of commutativity.

• adjective mathematics Such that the order in which the operands are taken does not affect their image under the operation.
• adjective algebra Having a commutative operation.
• adjective mathematics Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.

• adjective (of a binary operation) independent of order; as in e.g.

## Etymologies

Sorry, no etymologies found.

## Examples

• The market is subject to the principles of so-called commutative justice, which regulates the relations of giving and receiving between parties to a transaction.

Archive 2009-10-01 John M 2009

• The market is subject to the principles of so-called commutative justice, which regulates the relations of giving and receiving between parties to a transaction.

Is Economics a Science? John M 2009

• This is justice in exchange, or what Aristotle called commutative or corrective justice.

• Among equals, it is called commutative justice, the which alone is here in question.

• Hence all these actions belong to the one same species of justice, namely commutative justice.

• The rational numbers form what mathematicians call a commutative group under addition.

• Write-a-Thon is Wednesday, November 5th! commutative - abelian groups are also known as commutative groups

• 30 That justice called commutative commands sacred respect for the division of possessions and forbids invasion of others' rights through the exceeding of the limits of one's own property; but the duty of owners to use their property only in a right way does not come under this type of justice, but under other virtues, obligations of which "cannot be enforced by legal action."

Archive 2007-08-01 John M 2007

• 30 That justice called commutative commands sacred respect for the division of possessions and forbids invasion of others' rights through the exceeding of the limits of one's own property; but the duty of owners to use their property only in a right way does not come under this type of justice, but under other virtues, obligations of which "cannot be enforced by legal action."

Pope Pius XI's Quadragesimo Anno Richard Aleman 2007

• I flunked out of University three times, by which time I had a commutative average of about 53%.