# Commutativity

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## 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].

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Readers interested in the results of varying parameters on the relationships illustrated in Figure 1 (income over time) as well as the arguments concerning decomposition and Non-commutativity can access the worksheets in interactive form on-line at http://members.
He followed that procedure by which the Riemann-Christoffel tensor was built: proceeding from the non-commutativity of the second derivatives of an arbitrary vector
This method determines the gravitational force in an exact mathematical way, without any suppositions, as a part of the gravitational inertial force derived from the non-commutativity of the differential operators invariant in an observer's spatial section.

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