Sentence examples for extend in section from inspiring English sources

We first aim to extend, in Section 3, the Suzuki's result (Theorem 1.2) to more general classes of mappings.

Also, the next theorem of Proinov is strongly extended in Section 3 (see Theorems 3.6, 3.7).

Moreover, the ball number function will be extended in Section 4.5 and characteristic functions are discussed in Section 4.6.

Section 5 introduces the concept of an image as a mixture of latent aspects extended in Section 6 for contextual local patch classification.

The GMM-ITS algorithm for the augmented target state is extended in Section 4. The fixed lag smoothing GMM-ITS (FLs GMM-ITS) algorithm is proposed next in Section 5.

Then, based on a previous strategy by ourselves (summarized and extended in Section 4.1.1) we derive several new user association algorithms that perform load balancing (based on user connections to BSs) among the different network tiers and that consider explicitly the battery status of the BSs as well as the energy that is being harvested.

But when it's viewed flat under the microscope, those squiggly sheets of membrane extend in cross section, like long, sinewy arms.

In our experiments, we opted for the more straightforward formulation described here (which we extend in later sections) and used the Network Simplex function in the Lemon Library (Király and Kovács, 2010; Dezs et al., 2011) for optimization.

Rothenberg [1], Jacquez and Perry [4] and Catchpole and Morgan [3] also defined a notion of local identifiability, which we shall extend in the Analysis Section.

In Section 3, we extend results in Section 2 to our problem when the Dirichlet boundary condition is replaced by the Neumann one.

This body of literature is extended in this section to explore five distinct patterns of symbiosis for knowledge management.