Sentence examples for discontinuity of the function from inspiring English sources

The discontinuity of the function strongly influences the structure of the fundamental equation of the boundary problem (1.1)–(1.1).

It turns out that in this case the discontinuity of the function strongly influences the structure of representation of the Jost solution and the fundamental equation of the inverse problem.

It turns out that in this case the discontinuity of the function (rho(x)) strongly influences the structure of the representation of the Jost solution and the fundamental equation of the inverse problem.

Let ({s_{k} }_{1}^{r} ): (-pi< s_{1} discontinuity of the function (theta(t)) and {h_{k} }_{1}^{r} mbox h_{k} = theta (s_{k} +0 )-theta (s_{k} -0 ),quad k= overline{1,r}, be the corresponding jumps of this function at these points.

about the nonnegative piecewise continuous function u ( x ), where c, β i are nonnegative constants, f ( s ) is a positive function, and x i are the first kind discontinuity points of the function u ( x ).

One of the important things is that Samoilenko and Perestyuk [26] studied the following inequality: u ( x ) ≤ c + ∫ x 0 x f ( s ) u ( s ) d s + ∑ x 0 < x i < x β i u ( x i − 0 ) (1.2). for the nonnegative piecewise continuous function u ( x ), where c, β i are nonnegative constants, f ( x ) is a positive function, and x i are the first kind discontinuity points of the function u ( x ).

Furthermore, the admissible displacement functions of the FG-CNTRC shallow shells are chosen as an improved Fourier series which combines the standard double cosine Fourier series and several auxiliary functions which are introduced to remove any potential discontinuity of the displacement function and its derivatives at the edges.

The direct search algorithm (Nelder Mead simplex algorithm and pattern search algorithm in this paper) is used to solve our optimization problems due to possible discontinuity of the objective function and large nonlinearity of the problem.

For the TM mode a meshless local strong form method (RBF collocation) is used, while for the tricker TE mode a meshless local weak form method (RBF Galerkin) is used (so that the discontinuity of the dielectric function ϵ(x) can naturally be modelled).

The second cause of epistasis is the quadratic dependence of fitness on binding strength, as well as the discontinuity of the fitness function at r = r   *.

However, it is affected by a discontinuity in all the properties, which is caused by a discontinuity of the α-function.