Sentence examples for orthogonal expansion from inspiring English sources

The original weights k m can be identified from the orthogonal expansion weights and GS coefficients.

The governing equations are solved by an orthogonal expansion technique in terms of power series.

The theoretical analysis on heat transfer efficiency improvement has been developed using orthogonal expansion technique in power series.

An effective procedure for simulation of random wind velocity field by the orthogonal expansion method is proposed in this paper.

The analytical solution is obtained using an eigenfunction expansion in terms of the power series and an orthogonal expansion technique.

The methodology is based on the well known Gram-Schmidt orthonormalization procedure, which provides a 3D orthogonal expansion of the beamspace domain of the antenna.

Series in (3.2) can be, for example, corresponding orthogonal expansions, series of exponents.

A Cohen type inequality has been established in other contexts, for example, on compact groups or for classical orthogonal expansions.

We follow Dreseler and Soardi (1982) and Markett (1983) papers, where such inequalities were proved for classical orthogonal expansions.

Wavelets provide a new class of orthogonal expansions in L2 Rd) with good time/frequency localization and regularity/approximation properties.

First attempts to generalize the classical function spaces of the Lebesgue type (L^{p}) were made in the early 1930s by Orlicz and Birnbaum in connection with orthogonal expansions.