Sentence examples for and proved in the from inspiring English sources

Suggestions(5)

and proven in the

and confirmed in the

and approved in the

and moved in the

and demonstrated in the

Exact(11)

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

Journal of Computational Physics

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

Advances in Difference Equations

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

Journal of Inequalities and Applications

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

Boundary Value Problems

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

Advances in Difference Equations

Assertions similar to the following lemma (see, e.g., [24]) were used (and proved) in the course of proofs of several fixed point results in various articles.

Fixed Point Theory and Applications

Similar(49)

These ideas have already been developed, tested and proven in the field.

The Guardian

Develop practical ERM tools and techniques that have been tested and proven in the marketplace by our faculty, who are globally recognized ERM leaders.

Columbia University

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

The Guardian - Books

In addition, the system properties of incremental composition, partial testability and global deadlock-free operation are formally defined and proven in the formalism.

Robotics and Autonomous Systems

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

Fixed Point Theory and Applications

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