Sentence examples for established in this section from inspiring English sources

A trade-off between performance and complexity for both decoding algorithms is established in this section.

Several consequences of the main results are established in this section.

On top, three other basic equivalences of this paper are also established in this section.

The summation formulas to be established in this section are given by the following theorems.

Moreover, the notation and hypotheses held throughout the article are also established in this section.

A Lyapunov-type inequality for problem (S - DBC) iS - DBClishestablishedsectinn, and some parthislar casection discussed.

As applications, we establish in this section a Kelisky-Rivlin type result, a certain class of modified q-Bernstein polynomials.

In Section 3, we will study the complete convergence for acceptable random variables using the exponential inequalities established in Section 2. In this section, we will present some exponential inequalities for acceptable random variables, such as Bernstein-type inequality and Hoeffding-type inequality.

As stated in the section of Introduction, we study two applications of the main result established above in this section.

We complete this paper with an application of the results established in Section 2. In this application we are concerned with a general class of systems that satisfy the conditions considered previously.

The main results of this paper are established in Section 3 where we deal with the stability of (1.5).