Sentence examples for basic facts and notation from inspiring English sources

Some basic facts and notation needed in this paper are recalled as follows.

In this section, we collect some of the basic facts and notation that will be used in the paper.

Some basic facts and notations about modular spaces are recalled from [21].

Consistent with [14], some basic facts and notations needed in this paper are recalled as follows.

First, we need to recall some basic facts and notations in (mathbb{R}_{1}^{3}) (cf. [45 49]).

Now, we recall some basic facts and notations as regards modular spaces.

In Section 2, we recall some notations and basic facts, and we give the so-called Caccioppoli's inequality.

(1.3) We will assume that the reader is familiar with the basic facts of time scales and time scale notation, for an excellent introduction to the calculus on time scales, see Bohner and Peterson [1, 2].

Now we need the following notations and basic facts.

Now, we introduce some notations and basic facts which will be often used later.

Before giving the main results, we need the following notations and basic facts.