Sentence examples for basic results given from inspiring English sources

Some basic results given by Broyden [9] and Galantai [12] are extended here.

An excellent review of the basic results is given in [12, 13].

These results give the basic reference for the experimental design.

Our results give a significant basic theory on the Cu doped SnO2 thin films which will be promising materials for optoelectronic devices due to the remarkable photoelectrical properties.

Some basic results and estimates are given in Section 2.

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 Preliminaries, we give some basic results and the idea for the variation of BSDEs.

Before giving the basic results we will prove the following auxiliary theorem.

For convenience, let us give some basic results concerning spectral radius.

In this section, we briefly recall some basic results of mixed-fBm and give some basic estimates.

Now, we give some basic results for semi-slant submanifolds of Kenmotsu manifolds which are useful to the next section.