Sentence examples for generalize the concept from inspiring English sources

In this paper, we generalize the concept of concave operators, give a concept of the generalized concave operators, and study the existence and uniqueness of fixed points for this class of operators by the iterative method.

So the central problem faced by Lebesgue was not integration as such at all; it was to generalize the concept of length to sufficiently complicated sets.

Obviously such spaces generalize the concept of metric spaces.

For modeling IS, we generalize the concept of data models.

In this article we generalize the concept of partially bent functions to the transforms Vcf.

Next we generalize the concept of order-increasing of mappings on ordered vector spaces.

We can generalize the concept of efficiency as given in Definition 1 with this notion.

Tensors are higher order arrays that generalize the concepts of vectors (first-order tensors) and matrices (second-order tensors), whose elements are indexed by more than two indices.

Next, we generalize the concepts of fuzzy linear spaces over fuzzy fields to -fuzzy linear subspaces over -fuzzy subfields, and give some fundamental properties.

Then we generalize the concepts of fuzzy linear spaces, we define -fuzzy linear subspaces, and we obtain some of their fundamental properties.

In this last section, we generalize the concepts of statistical boundednes, statistical boundedness of order α, and λ-statistical boundedness by introducing the concept of λ-statistical boundedness of order α.