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Webster 1913 Edition


Coefficient

Coˊef-fi′cient

,
Noun.
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, 6x; 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.

Webster 1828 Edition


Coefficient

COEFFICIENT

, n.
1.
That which unites in action with something else to produce the same effect.
2.
In algebra, a number or known quantity put before letters, or quantities, known or unknown, and into which it is supposed to be multiplied; as in 3x and ax, 3 and a are the coefficients of x.
3.
In fluxions, the coefficient of any generating term is the quantity which arises from the division of that term by the generated quantity.