Sentence examples for of some extensions from inspiring English sources

They also help to discover some interesting properties of some extensions and suggest a possible syntactic transformation on problems to improve the performance of some extensions.

Remark 1 In [8 13] the authors give some new results about the p-Cockcroft property of some extensions.

We calculate the essential norm of some extensions of the generalized composition operators between kth weighted-type spaces on the unit disk in the complex plane, considerably extending some results in the literature.

Finally, we present results for some extensions of the model.

We refer to [19 26] for some extensions of (1.7) in different directions.

Since we have trouble in finding the local energy inequality of v directly, we use the fact that the operator σ can be thought as the normal derivative of some extension v⁎ of v to the upper half space (Caffarelli and Silvestre, 2007 [5]), i.e., v is regarded as boundary value of v⁎ the solution of some local extension problem.

Therefore, our paper gives some extensions of the results of [7] in a sense.

These formulas are some extensions of the formulas of Srivastava and Pintér, Cheon and others.

Some extensions of the apparatus are made to increase the function of the platform.

Some extensions of the considered benchmark problem are discussed.

A summary of this approach with some extensions is given.