Sentence examples for proof developed from inspiring English sources

An alternative proof, developed by Skolem in 1922 to avoid appealing to the principles of set theory, has turned out to be useful also for establishing the completeness of the calculus.

The thought style of epidemiology shifts the framework towards conditions of proof developed in biomedical research.

To become articulated within the thought style and epistemic culture of analytical epidemiology, standards of proof developed in medical decision-making are increasingly drawn upon when discussing questions of causality in environmental health.

The proof develops new techniques for analyzing a certain "survey propagation model" associated to this problem.

Mathematically, this two-fold sense of proof develops its real power only when types may themselves depend on terms.

The properties (3) and (4) follow the same line as the proofs developed in [14].

Despite the fact that a contradiction invalidated a part of his system, the intricate theoretical web of definitions and proofs developed in the Grundgesetze nevertheless offered philosophical logicians an intriguing conceptual framework.

In addition to our specific Proof Sketches developed here, we sketch a general framework for developing new Proof Sketches.

Sometimes, proof is developed and the perpetrator is caught; sometimes, people get hurt.

The proof framework developed for this case study can furthermore be used in other typing system case studies.

Although d'Alembert, Euler, and Lagrange worked on the fundamental theorem, the first successful proof was developed by Carl Friedrich Gauss in his doctoral dissertation of 1799.