Sentence examples for a leading coefficient from inspiring English sources

The coefficient of leading type is called a leading coefficient, denoted as LC(f), and the corresponding term is called a leading term, denoted as LM f).

Let α be an algebraic number of degree d, c be a leading coefficient of the defined polynomial of α, (alpha^{(j)}) ((j=1,ldots,d)) be the whole conjugate numbers of α.

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Let a k - 1 be the leading coefficient of L a ( k ! l + r, k, 1 ) for every 0 ≤ r ≤ k ! - 1.

This relationship reveals one of the key approximations involved in the Maxwell Garnet effective medium theory: retaining only the leading term of the leading coefficient a 1 in the general solution of the Mie theory.

In this paper we derive a relationship of the leading coefficient of the Laurent expansion of the Ruelle zeta function at s="0 and the analytic torsion for hyperbolic manifolds with cusps.

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Lemma 3.1 If r is a maximal root of a function f with positive leading coefficient, then f ( x ) > 0 for all x > r.

Let a k - 1 be the leading coefficient of q ( k ! l + r, k ) for every 0 ≤ r ≤ k ! - 1.

We notice that, the leading coefficient of L a ( k ! l + r, k, 1 ) - L a ( k ! ( l - 1 ) + r, k, 1 ) is ( k - 1 ) a k - 1.

By taking into consideration the cases that the matrices are square with the leading coefficient singular, square with an identically zero matrix pencil and non-square, we study the conditions under which the boundary value problem has unique, infinite and no solutions.