Sentence examples for solution in terms of a from inspiring English sources

The equivalent homogeneous inclusion problem has an explicit solution in terms of a definite integral.

We construct the general solution in terms of a simple formalism for any homogeneous layer, from which any physical quantities can be solved for the given boundary conditions.

These algorithms are based on representation of the solution in terms of a double integral, some recursive relations in Fourier space, and fast Fourier transforms.

First, an analytical solution in terms of a multipole expansion is derived by means of the method of matched asymptotic expansions.

An integral transformation procedure of the mathematical model associated with the use of Pontryagin's Principle permits a solution in terms of a classical differential problem.

"Whether it's an optimum solution in terms of a health care delivery network for Manhattan, I am not sure," said Stephen Berger, chairman of the now-defunct state Commission on Health Care Facilities in the 21st Century.

We first propose an upper bound of the solution in terms of an exponential function.

In the case of boundary values belonging to a Hölder space we represent its solution in terms of an explicit integral representation formula.

The science gifted view problems and solutions in terms of a numerical value.

By using the properties of Green's function and Guo-Krasnosel'skii's fixed point theorem, some existence results of at least one or two positive solutions in terms of a different eigenvalue interval are obtained.

Our focus in the current work is to improve algorithms, in terms of visual quality, that assert sparsity prior on the solution in term of a dictionary domain.