Sentence examples for basic results for this from inspiring English sources

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.

Choose a good finite dimensional subspace S N (here, we set S N = span { sin k π x ; k = 0, 1, …, N } ), we can also have the basic results for the orthogonal projecting operator P N. In this paper, we consider the Fourier spectral method for the modified Swift-Hohenberg equation.

In this section, we briefly recall some basic results for the Green function of the operator (Delta_{alpha}=- -Delta)^{alpha/2}) anDelta_{alpha}=- -Deltasheet.

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

Basic results for the weight benefits relative to solid plates are presented, with emphasis on restricted optimizations that assure robustness (non-catastrophic failure) and acceptable thinness.

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.

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

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

One of the well-known and basic results for the Gauss-Weierstrass means is the following ([[4], p.5], [[5], p.223]).

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