Sentence examples for basic results for the from inspiring English sources

In Section 2, we recall some required concepts and basic results for the later use.

In Section 2, we state some basic results for the variable exponent Lebesgue-Sobolev spaces.

To give basic results for the problem (1.1 - 1.3 1.1 - 1.3ld express some fundamental notions as regards time scale calculus.

In this section, we will firstly give some definitions and basic results for the fuzzy differentials and fuzzy integrals.

We first state some basic results for the weighted variable exponent Lebesgue-Sobolev spaces which were given in [23].

In Section 2, we state some basic results for the variable exponent Lebesgue-Sobolev spaces, which are given in [19, 20].

This article formulates the concept of a linear error-block code and derives basic results for this kind of code by direct analogy to the classical case.

The basic result for the proof of our main result Theorem 2.4 is the following variant of inequality (1.2): Theorem 2.1.

The first two columns of Table 1 report the basic results for Experiment A. In the top row of the first column, we find that the ethnic difference in the probability of a job interview is 9.4 percentage points.

The purpose of the article is to show that the traditional consideration leads to the already known as basic results for graphene, to fulfill the analysis of general dynamic properties of the electron (considering as a quasiparticle) in the conduction band of graphene and to compare obtained results with the analogous basic characteristics for the simple lattices.

The basic results for Experiment C are found in the last column of Table 1.