commutative law

The commutative law of addition can be used to rearrange terms into any preferred order.

If the commutative law fails, the associative may hold good; but not vice versa.

The order in which real or complex numbers are multiplied has no bearing on the product; this is known as the commutative law of multiplication.

The fact that addition is commutative is known as the "commutative law of addition".

Reinforces addition and subtraction as inverse, and the commutative law of addition.

(commutative law of addition-the order of the summands can be changed)

This operation on rotations obeys the associative law, but can fail the commutative law.

The associative and commutative laws.

Commutative law.

Despite having direction and magnitude, angular displacement is not a vector because it does not obey the commutative law for addition.

Jordan algebras are algebras which satisfy the commutative law and the Jordan identity.

This implies that the class containing 1 is the unique multiplicative identity, and also the associative and commutative laws hold.

The commutative property (or commutative law) is a property generally associated with binary operations and functions.

Commutative laws:

(commutative law)

Commutativity of equivalence (also called the complete commutative law of equivalence)

However, many binary operations are not commutative, such as subtraction and division, so it is misleading to speak of an unqualified "commutative law".

Addition Shortcuts - Teaches how to take advantage of the commutative law by making combinations of 10 when adding long columns of numbers.

This phrase suggests that there are other commutative laws: for example, there is a commutative law of multiplication.

Both AND and OR obey the commutative law and associative law:

Examples of such identities are the commutative law, characterizing commutative algebras, and the absorption law, characterizing lattices.

In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation obeys the commutative law.

Therefore the existence and number of inner automorphisms that are not the identity mapping is a kind of measure of the failure of the commutative law in the group.

It is an unfortunate thing for the symbolist or formalist that in universal arithmetic is not equal to ; for then the commutative law would have full scope.

Gibbs-Heaviside eventually won as regards applicability but the quaternions have the honour of being the first to demonstrate the existence of consistent number systems not satisfying the commutative law of multiplication.