distributive law

In the second step, the distributive law is used to simplify each of the two terms.

Use the distributive law to turn that expression into a sum of products.

A generalized distributive law has also been proposed in the area of information theory.

Each interpretation is responsible for different distributive laws in the Boolean algebra.

For a complete boolean algebra both infinite distributive laws hold.

Generalization of distributive law leads to a large family of fast algorithms.

The distributive law may be replaced by an associative law:

The distributive law is sometimes stated as an axiom, but in fact it follows from the existence of relative pseudo-complements.

The convention that a product of two negative numbers is positive is also necessary for multiplication to follow the distributive law.

A near-field is an algebraic structure similar to a division ring, except that it has only one of the two distributive laws.

J2 is the familiar distributive law of sentential logic and Boolean algebra.

A3: for all elements , , of (The right distributive law).

The distributive law makes it possible to expand the product so that it is a sum of products of basis elements.

If we wanted to be self-consciously intellectual about it we could say that this little argument uses the logical principle of the distributive law.

D lists the distributive laws.

Because set unions and intersections obey the distributive law, this is a distributive lattice.

By replacing A3 by the left distributive law we get a left near-field instead.

It can hence be shown (by proving the distributive laws) that the power set considered together with both of these operations forms a Boolean ring.

See: distributive law between monads.

Distributive law.

The place value identification of criterion 1a is required in addition to the distributive law and this combination proved very demanding for low attainers.

Distributivity generalises the distributive law for numbers, and specifies the order in which the operators should be applied, (called the precedence).

This shows by an example that applying distributive law reduces the computational complexity which is one of the good features of a "fast algorithm".

By a similar argument, the following infinite distributive law holds in any complete Heyting algebra:

A demonstration of the Distributive Law for integer arithmetic (from cut-the-knot)