Commutativity

(redirected from Noncommutativity)
Also found in: Dictionary.

Commutativity

 

a property of the addition and multiplication of numbers expressed by the identities a + b = b + a and ab = ba. In a more general sense, the operation a * b is termed commutative if a * b = b *a. Addition and multiplication of polynomials, for example, have the property of commutativity; vector multiplication (see VECTOR PRODUCT) is not commutative since [a,b] = — [b,a].

References in periodicals archive ?
French-Japanese Symposia of Noncommutativity and Singularitites.
He followed that procedure by which the Riemann-Christoffel tensor was built: proceeding from the noncommutativity of the second derivatives of an arbitrary vector
The noncommutativity of measurements--the temporal sequence of the measurements of two complementary variables makes a difference (e.
The noncommutativity of conjugate variables and the inseparability of object and measuring instrument are closely related to ideas expressed in interbehavioral psychology early in this century.
we see that the formula above can not be readily extended to matrices due to their noncommutativity.