Sentence examples for modal functions with from inspiring English sources

These methods often assume a solution as a finite series in terms of modal functions with time-varying coefficients.

It is clear that the proposed EADE and EADE* algorithms perform well and it has shown its outstanding superiority with separable, non-separable, unimodal, and multi-modal functions with shifts in dimensionality, rotation, multiplicative noise in fitness, and composition of functions.

The wet dynamic displacement of the plate is approximated by combining the orthogonal modal functions of a dry circular plate with a clamped boundary condition.

First, it is shown herein that if one adopts the classical thin plate theory and the Galerkin's method with commonly used modal functions consisting of the products of free free beam modes, the natural boundary conditions cannot be satisfied at the free edges and the shear forces are completely erroneous, even when the eigenvalues have already converged.

Galerkin׳s method used with three different boundary conditions transforms the equation into time dependent modal functions.

Modal dictionaries are obtained by discretizing modal functions (damped complex exponentials).

A modality is a modal function of one variable that contains only the operators ¬ and ◊.

EADE and LMDEa, among all other algorithms, got very close to the optimum in all runs of single-group m-non-separable multi-modal functions F(_{8}) with 3.0E06 FEs.

The modal function of 當 dāng grammaticalizes from a verb with the basic meaning 'match, correspond'.46 As a modal auxiliary verb, it expresses root necessity: □p 'it is necessary that p', roughly corresponding to the modal should in English.

with a constant, the source spectrum, the modal function of mode, and the horizontal spatial frequency of mode.

EADE and EADE* got very close to the optimum of single-group m-non-separable multi-modal functions F(_{6}) in all statistical results with 1.20E05 FEs.