Sentence examples for concepts to prove from inspiring English sources

Dr Stallings's work largely involved geometry and topology, the study of fundamental properties of shapes, and later applied that knowledge to the field of geometric group theory, using geometric and topological concepts to prove theorems in algebra.

We need the following concepts to prove our results.

Then we use these concepts to prove this inequality involving three functions.

It takes a while to get the kinks out and for pilots and proofs of concepts to prove use cases and shift the curve to broad adoption.

Considering the high manpower requirements of a multidisciplinary team we suggest further socioeconomic analysis of these concepts to prove cost efficacy of the treatment with respect to quality of life, direct and indirect costs.

Subsequently, many authors, e.g., [18 22] utilized this concept to prove numerous results.

In this paper, we extend the concept of contraction mappings in b-metric spaces and utilize this concept to prove the existence and uniqueness of fixed point theorems for such mappings in such a space.

Since most startups operate at a break-neck pace, with a concept to prove or a product to launch within a rapidly shortening runway of financing, company culture often gets shoved aside.

New aircraft fuselage concepts have to prove equivalent crashworthiness standards compared to conventional metallic fuselages for certification.

If the concept continues to prove popular it could be expanded to include more locations in 2016.

McKelvey says WeWork's core co-working concept had to prove itself as more than just a millennial mecca, too.