Sentence examples for and proving in the from inspiring English sources

Any public key-based security system must be provided by an efficient way of making the public key of a node available to another and proving in the same time the authenticity of this key.

They weave together, mostly successfully, and prove in the end to be connected, via a coincidence that's pleasing, if a little convenient.

The result is in perfect agreement with the results stated and proved in the established literature.

The weak comparison principle is stated and proved in the Appendix.

Composed -cyclic contractions are characterized according to tests stated and proven in the subsequent result.

Our main result is stated and proved in the next theorem.

Sensors of different types have been tested and proven in the outdoor construction industry.

A special case of Theorem 2.1 is stated and proven in the subsequent result.

Some properties concerned with -cyclic nonexpansive self-mappings are stated and proven in the next lemma.

Existence and equivalence of the solution are analyzed and proved in the paper based on fixed point theorem.

Section 2 provides the definitions and preliminary results to be used in theorems stated and proved in the paper.