Dictionary![]() ![]() characteris'tic equa'tion1. Math. a. the characteristic polynomial of a given matrix, equated to zero. b. Also called auxiliary equation. an equation with one variable and equated to zero, which is derived from a given linear differential equation and in which the coefficient and power of the variable in each term correspond to the coefficient and order of a derivative in the original equation. 2. Physics.See equation of state. Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.
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