This follows from the distributivity of matrix multiplication over addition.

In a sense they reveal the independence between the properties of symmetry and distributivity.

See also the article on distributivity (order theory).

In several mathematical areas, generalized distributivity laws are considered.

In particular, the usual rules of associativity, commutativity and distributivity hold.

Expansion via the distributivity of the wedge product gives .

This condition is called distributivity and gives rise to distributive lattices.

This is the case of distributivity or trigonometric identities.

For the distributivity, the computer function that apply this rewriting rule is generally called "expand".

Commutativity and distributivity are two other frequently discussed properties of binary operations.

For some applications the distributivity condition is too strong, and the following weaker property is often useful.

Here are some rules demonstrating distributivity with other operators:

This notion requires but a single operation, and generalizes the distributivity condition for lattices.

The following logical equivalences demonstrate that distributivity is a property of particular connectives.

A right quasifield is similarly defined, but satisfies right distributivity instead.

Multiplication follows the usual laws of associativity and distributivity.

Finally distributivity entails several other pleasant properties.

The following versions of distributivity hold true:

Brackets can be "multiplied out", using distributivity.

Extending this analogy, the fact that composition is bilinear in general becomes the distributivity of multiplication over addition.

This is weaker than distributivity.

This corresponds to the two ways of calculating the area using the distributivity of the exterior product:

The structure of a field is hence the same as specifying such two group structures (on the same set), obeying the distributivity.

By distributivity the n + 1 xs multiply together to make , i.e. one degree higher than the maximum we set.

The principle of distributivity is valid in classical logic, but invalid in quantum logic.