Arbitrary coefficient

Arbitrary coefficient
Coefficient Co`ef*fi"cient, n. 1. That which unites in action with something else to produce the same effect. [1913 Webster]

2. [Cf. F. coefficient.] (Math.) A number or letter put before a letter or quantity, known or unknown, to show how many times the latter is to be taken; as, 6x; bx; here 6 and b are coefficients of x. [1913 Webster]

3. (Physics) A number, commonly used in computation as a factor, expressing the amount of some change or effect under certain fixed conditions as to temperature, length, volume, etc.; as, the coefficient of expansion; the coefficient of friction. [1913 Webster]

{Arbitrary coefficient} (Math.), a literal coefficient placed arbitrarily in an algebraic expression, the value of the coefficient being afterwards determined by the conditions of the problem. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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