Sentence examples for basic result on from inspiring English sources

The Banach contraction principle [1] is a basic result on fixed points for contractive-type mappings.

A basic result on this point is shown in Figure 4c.

We begin this section with a basic result on the usual Cliffordian Théodoresco operator defined by.

The proof of Theorem 1 will require a basic result on convergence of Markov processes from [36], which is restated as Lemma 2 in our context.

The development of such coatings and basic results on magnetron-sputtered TiC/a-C coatings are reviewed briefly.

Our primary aim is to survey the multitude of applications of Parker squares and to collect the basic results on them together in a single location.

Basic results on LQ regulator and Kalman filter designs are briefly surveyed and tuning of their combination – the LQG controller is shown.

We demonstrate this by giving short proofs of the basic results on the polytope that indicate that, exploiting the techniques developed in this paper, deeper polyhedral investigations of the QAP now become possible.

Some topological concepts and basic results on a PMS are defined as follows.

Hereafter, we briefly summarize some basic results on uniqueness of PARAFAC models.

For some basic results on fractional calculus, we refer to [26 28, 44].