Sentence examples for modes of solution from inspiring English sources

Although extremely simple, even this apparatus allows for a number of possible modes of solution.

This assumption leads to two modes of solution.

Stability conditions, taking into account both interaction of convection with diffusion and presence of exponentially varying modes of solution, are considered.

Unlike the traditional FMEA, the causality relationships among failure modes of solution principles are analyzed to use failure information more effectively through constructing a directed failure causality relationship diagram (DFCRD).

A Galerkin projection is used to derive a system of deterministic equations for the stochastic modes of the solution.

The main idea of the method is to use a unique set of particles to transport the stochastic modes of the solution.

An elegant solution developed in the context of spectral methods by Eitan Tadmor and coworkers is to add diffusion only to the high frequency modes of the solution and can lead to stabilization without sacrificing accuracy.

The adaptation relies on an estimate of the eigenvalues and eigenvectors of the Galerkin Jacobian matrix of the deterministic system of the stochastic modes of the solution and on a correspondence between these approximate eigenvalues and eigenvectors for the intermediate states considered at the interface.

The stable states Xss1 and Xss2 were computed as the steady states of the deterministic reaction-rate model (1) and confirmed by identifying the modes of the solution of the CME after a sufficiently long stochastic simulation time.

In this paper, the structure and updating method of artificial solution as well as the combination mode of artificial solution and algorithm solution have been researched.

Lubinski (1950) studied the two-dimensional lateral buckling problem with the beam-column model and gave the critical buckling forces for the lowest two modes of buckling solutions shown in Table 1.