Sentence examples for extend the classes from inspiring English sources

In the present paper, our main motivation is to extend the classes of directed and demicontractive operators to the class of quasi-pseudocontractions because the class of quasi-pseudocontractions includes the classes of directed and demicontractive operators as special cases.

At first teachers from the orphanage were very sceptical about peer educators, but now they are asking them to extend the classes for higher grades.

In the future, we plan to extend the class over several quarters.

In the following, we extend the class of Schur-concave functions which verifies (2.3).

We can easily extend the class of Ψ into the homothetic function.

We show how Hamiltonians that are not frustration-free can genuinely extend the class of stabilizable states.

They propose to extend the class of moral agents to include artificial agents, while disconnecting moral agency and moral accountability from the notion of moral responsibility.

In order to extend the class of paranormal and ∗-paranormal operators, we introduce the class of k-quasi-∗-paranormal operators defined as follows.

The derived solutions based on Heun functions extend the class of published exact analytical solutions of model wave equations taking into account the medium temperature gradient.

Moreover, by following the proof of Theorem 1.4, we can partially extend the class of mappings and still obtain their fixed points.

R-contractions do not only extend the class of (mathcal {Z} -contractions but they also generaliZ} -contractionsntractions butDu and Khojasthey Geralsoy's contractions, Banach contractions, etc.