Sentence examples for present the notation from inspiring English sources

In Section 2, we present the notation and main results.

In this subsection we briefly present the notation and pertinent results which we utilize below.

In this section, we present the notation, definitions, and assumptions that we use to obtain a priori bounds on solutions.

To be able to easily reference a specific layer or set of parameters later in the paper, we briefly present the notation that we adopted.

In this section, we present the notation and functional setting and prepare some material, which will be used in our analysis.

In this section we present the notation and the functional setting which will be used in this paper and prepare some material which will be used in our analysis.

In this section, we present the notations, definitions, and lemmas used in the main results.

In Section 2 we present the notations, definitions and preliminary results needed in the following sections.

In Section 2, we present the notations and mathematical preliminaries for the considered problem and finite element spaces.

In this section, we briefly present the notations and theorem which are useful for constructing conservation laws with the aid of Lie-Bäcklund symmetries.

The paper is organized as follows: in Section 2 we present the notations, definitions and give some preliminary results that we need in the sequel, Section 3 is dedicated to the existence results of problem (1), in the final Section 4, two examples are given to illustrate the results.