# coefficient

(redirected from*determination coefficient*)

Also found in: Dictionary, Thesaurus, Medical, Legal, Wikipedia.

## coefficient

**1.**

*Maths*

**a.**a numerical or constant factor in an algebraic term

**b.**the product of all the factors of a term excluding one or more specified variables

**2.**

*Physics*a value that relates one physical quantity to another

## Coefficient

a numerical factor in a literal expression, a known multiplier of an unknown quantity of any degree, or a constant multiplier of a variable quantity. Thus, in the monomial −¾ a^{2}b^{3} the coefficient is −¾; in the equation *x*^{2} + 2*px* + *q* = 0 the coefficient of *x*^{2} is 1 and the coefficient of *x* is 2*p*; and in the formula for the circumference of a circle *l* = 2πr the coefficient is 2π. In the equation for a straight line *y = kx + b*, the number *k*, which expresses the tangent of the angle that the line makes with the *Ox* axis, is known as the slope. Many of the coefficients in formulas expressing physical laws have special names, for example, the coefficient of friction and the coefficient of light absorption.

## coefficient

[¦kō·ə′fish·ənt] (mathematics)

A factor in a product.