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algebraic identity

algebraic identity

[¦al·jə¦brā·ik i′den·ə·tē]
(mathematics)
A relation which holds true for all possible values of the literal symbols occurring in it; for example, (x + y)(x-y) = x 2-y 2.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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References in periodicals archive
Clearly, for an object composed of n atoms this can be done in n(n - l)/2 ways, which agrees with the algebraic identity (1/2)[([yD.sub.x]).sup.2][x.sup.n] = (n(n - 1)/2)[x.sup.n-2][y.sup.2].
Abstract In this note I prove using an algebraic identity and Wilson's Theorem that if [a.sup.2] + 1 is an odd prime, thus this prime must has the form [4k.sup.2] + 1, then 5 + 2k - 3.
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