coefficient

(redirected from Leading coefficient)
Also found in: Dictionary, Thesaurus, Medical.
Related to Leading coefficient: polynomial, degree of a polynomial

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 a2b3 the coefficient is −¾; in the equation x2 + 2px + q = 0 the coefficient of x2 is 1 and the coefficient of x is 2p; 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.
References in periodicals archive ?
By Definition 4 from [5] the leading coefficient matrix is
One may also observe that the leading coefficient matrix of P(z) has the full rank, i.
GAMMA]]([alpha], 1) is a polynomial in g of degree [alpha] - 1 and leading coefficient [2.
1 is an auxiliary theorem which shows that for each t [greater than or equal to] 0, the quantity [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a polynomial in b of degree k + t with leading coefficient t
It remains to examine the leading coefficient, where it turns out that only the summand k = m gives a contribution, and by using equation (17b) we get
Later on we will require also the leading coefficient [[k.
We begin with a known transformation that homogenizes the leading coefficient a2(x), and show how it can be used to generalize the stability results from the previous sections.
Using this simple canonical transformation, we can homogenize the leading coefficient of L as follows: Choose [PHI](x) and construct a canonical transformation [PHi](y, [eta]) by (7.
A similar analysis can be carried out for the asymptotic expansion of the leading coefficients [k.
By evaluating both sides of this formula at the point z = 0, we obtain the following simple expression for the leading coefficients of p(z),
Furthermore, taking into account the polar decomposition for the leading coefficient of ([[PHI].