Co`ef*fi"cient (?), *a.*
Coöperating; acting together to produce an
effect.

Co`ef*fi"cient*ly, *adv.*

Co`ef*fi"cient, *n.*
**1.** That which unites in action with
something else to produce the same effect.

**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,
6*x*; *bx*; here 6 and *b* are *coefficients*
of *x*.

**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.

**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.