Sentence examples for the leading coefficient from inspiring English sources

In each case the leading coefficient is given by the Newtonian capacity of K.

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.

We study the problem of determining the leading coefficient k=k(x) of the Sturm Liouville operator Au≡− k(x u′(x))′+q(x u(x), x∈ a,b), from a measured data given in the form of Dirichlet or/and Neumann type (additional) boundary conditions.

We shall investigate the case whereEis a critical value of the symbolHofĤand, extending the work of Brummelhuis, Paul and Uribe in [3], we will prove the existence of a full asymptotic expansion forϒin terms ofℏand ln ℏ and compute the leading coefficient.

To solve the numerical instability of solution problem existing in these proposed regular formulations, the Tikhonov's regularization technique is used to improve the condition number of the leading coefficient matrix; further, the generalized singular-value decomposition method is used to eliminate spurious eigensolutions.

The leading coefficient of is.

We explore numerically the role of the leading coefficients that characterize the flow: the Froude, the Reynolds and the Schmidt numbers.

The leading coefficients are assumed to be merely measurable in one spacial direction and have small mean oscillations in the orthogonal directions on each small cylinder.

Our estimates inspire us to investigate the connection between the leading coefficients of Hilbert polynomials for invariant subspaces of the symmetric Fock space and Arveson's curvature invariant for coinvariant subspaces.

The leading coefficients of the elliptic operator are VMO functions.

Suppose that the leading coefficients and lower terms satisfy the structural assumptions H1 and H3.