Sentence examples for inclusion is established from inspiring English sources

Similarly, the elastic field caused by the diffraction of an incident plane pulse in elastic material with a localized crack, cavity or inclusion is established.

As an application of our main result, fixed point results for various types of set-valued contractions on product spaces are derived, and a sufficient condition for the existence of a weakly asymptotically stable and global attractor equilibrium point of a kth order nonlinear difference inclusion is established.

Given high importance of the topics and the need for coordination and alignment, a joint Steering Committee (SC) to oversee the work in both areas of "social protection" and "social inclusion" is established, under the chairmanship of the MoSWY.

For example, when Chlamydia trachomatis invades a mammalian cell, a membrane-bound niche called an inclusion is established, and the host Golgi is fragmented so that the remnant Golgi membrane can be aligned around the inclusion (Heuer et al., 2009).

By using the Yosida approximation operator technique, the existence and uniqueness theorems for solving this kind of variational inclusion are established.

Furthermore, the relations between the mixed-mode TSIFs and model parameters including material constants as well as locations of the inclusion are established.

The following criteria for inclusion were established: studies had to include a health-related outcome, a variable proposed to measure neighbourhood social capital, a measure of socio-economic conditions and had to focus on children and/or adolescents.

The existence results for the single-valued case (equations) are obtained by means of fixed point theorems due to O'Regan and Sadovski, whereas the existence of solutions for the multivalued case (inclusions) is established via nonlinear alternative for contractive maps.

Then, by using the resolvent operator associated with - N O D S M set-valued mappings, an existence theorem of this class of nonlinear inclusions is established, and a sensitivity analysis of the solution set for this kind of parametric variational inclusions is proved and discussed in ordered Banach spaces.

In particular, Lyapunov-based tests for strong and weak semistability as well as finite-time semistability for autonomous differential inclusions are established.

Next, by using the resolvent operator and fixed point theory, an existence theorem and an approximation algorithm to solve a new class of general nonlinear ordered inclusions are established and suggested.