Sentence examples for discontinuous point from inspiring English sources

(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.

We define P C = { x : [ 0, σ ( T ) ) ] T → ℝ | x ( t ) is a piecewise continuous map with first-class discontinuous points in [ 0, σ ( T ) ] T ∩ { t i : 1 ≤ i ≤ m } and at each discontinuous point it is continuous on the left} with the norm | | x | | = sup t ∈ [ 0, σ ( t ) ] T | x ( t ) |, then PC is a Banach Space.

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.

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.

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]).

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

However, most of these results involving impulsive effects are point-discontinuous, i.e., impulsive effects are added at a sequence of discontinuous points (see [5 12] for details).

denotes the space of piecewise continuous functions with at most countable discontinuous points and at this points are right continuous.

As we all know, the discontinuous points of the derivative of continuous functions may not be the first kind.