Sentence examples for required to be continuous from inspiring English sources

For applying these methods, the involved mappings are always required to be continuous or semi-continuous.

This paper investigates the adaptive finite-time stabilization of a class of switched nonlinear systems via backstepping technique, where unknown nonlinear functions are only required to be continuous.

The method is formulated and tested on the two-dimensional interior Poisson and exterior Laplace problems, whose solutions and their normal derivatives are required to be continuous across the interface.

Mathematically, such a series expansion is capable of representing any function (including the exact displacement solution) whose third-order partial derivatives are (required to be) continuous over the area of the plate.

With the new adaptive control scheme based on the novel criterion of finite-time stability proposed in this article, the nonlinear functions can be completely unknown and they are only required to be continuous.

Here the function (a=a t,x)) is generic (it is only required to be continuous and positive) and mainly the differential operator Φ is quite general, not necessarily homogeneous, nor having polynomial growth.

Instead of smooth, the interfaces are only required to be Lipschitz continuous as submanifold.

In our result, the mappings are not required to be compatible, continuous or commutable, and the t-norm is not required to be of Hadžić-type.

The method of subdivision surfaces is adopted to generate the mesh of membrane and the corresponding shape functions, which are required to be C1 continuous.

They need initiation, which means that senescence is required to be a continuous process.

These patches are often required to be C0-continuous to make the IGA DG available, and this requirement brings some problems to the CAD process.