Sentence examples for concept of continuity from inspiring English sources

Notice that the concept of α-completeness of metric spaces is weaker than the concept of completeness and the concept of an α-continuous multivalued mapping is weaker than the concept of continuity in metric spaces.

There was the whole concept of continuity.

Cauchy provided a novel underpinning by stressing the importance of the concept of continuity, which is more basic than either.

The concept of continuity by deploying new nodes in the area has been studied under multiphase wireless sensor network topic in the literature.

René-Louis Baire, (born January 21 , 1874 Paris, France died July 5, 1932, Chambéry), French mathematician whose study of irrational numbers and the concept of continuity of functions that approximate them greatly influenced the French school of mathematics.

Experiments made using a salt tracer method are compared to a residence time model, based on the concept of continuity shock waves.

The hotel's architect, Sandy Weiss, said that building the hotel atop an old structure was in keeping with Jewish concepts of continuity.

During the 18th century calculus became increasingly algebraic, as mathematicians most notably the Swiss Leonhard Euler and the Italian French Joseph-Louis Lagrange began to generalize the concepts of continuity and limits from geometric curves and bodies to more abstract algebraic functions and began to extend these ideas to complex numbers.

Using the concepts of continuity, mixed monotone property and coupled fixed point, Choudhary and Maity [31] introduced the following theorem.

For a comprehensive account of the evolution of the concepts of continuity and the infinitesimal, see Bell (2005), on which the present article is based.

Similarly to ordinary analysis, the concepts of continuity and of the Lipschitz condition for mapping on vector metric spaces have been introduced and have been applied for proving the existence of fixed points (see [2 4]).