Sentence examples for discontinuous points from inspiring English sources

To deal with interior discontinuities, some conditions are imposed on the discontinuous points, which are often called transmission conditions (see [2, 3, 7, 10, 18, 19]), interface conditions (see [14, 17]), or point interactions (see [5]).

We show that the nth (n≥2) order derivatives are discontinuous, and the number of the discontinuous points is two times the number of the polygon edge.

A rotation algorithm is proposed to successively calculate these discontinuous points, thus the target interval where the optimal solution is located can be determined.

In the DQM, the states of individual neurons at the next predicted discontinuous points are determined by an analytic solution, meaning an optimal performance in both accuracy and speed.

First, the convergence of the partial sum of a periodic function with discontinuous points is investigated by introducing three parameters to describe the overall error of a Fourier series and the Gibbs oscillation region.

Since the distribution function is nondecreasing, the discontinuous points are at most a countable set.

The object of this work is to analyze the dynamic characteristics of the portal frame which consists of two stepped beams including a thin plate and a torsional spring at the discontinuous point and a rigid body connecting each beam tip.

(A function with at most a finite number of discontinuous point is called piecewise continuous).

In this section, we describe and analyze a single-step numerical process for the NDDE (1) using the Legendre-Gauss interpolation when there is no discontinuous point on ([0,T]).

These jump conditions at a discontinuous point are related to the integral conditions of the past state, which can be used in the qualitative analysis of the solutions to certain nonlinear impulsive differential systems.

Basing on the Gaussian function OCT model, Liu et al. [ 21] proposed an automatic PSF estimation method by searching the discontinuous point of information entropy from a series of the recovered images.