Sentence examples for crucial proof from inspiring English sources

Those who supported the war said the capture was crucial proof of strength for President Bush and evidence of the administration's wise handling of the situation.

Items that were funny but obscurely precious, crucial proof of connection to this man and to a magic sense of smoky power, of presidents.

Even after the jurors had notified the judge that they had reached a verdict, Mr. Litman unsuccessfully tried to introduce last-minute forensic evidence, a new handprint of Mr. Ko's, made by a different method, that he said was crucial proof of his innocence.

That's important for "Wintel" (a contraction of the words Windows and Intel) because it offers a long-absent and crucial proof point that their products can scale up to the level of systems sold by archrival Sun Microsystems, which has staked out a solid position as the leading server provider for some of the world's largest corporations.

This experiment provided the crucial proof for the indispensable role of PLA2 activity in the reduction of endocytosis by AtxA in yeast.

In cases of conflict or refugee crises, birth certificates serve as crucial proof of birth and facilitate traceability of unaccompanied and separated children.

Even a brief inspection, however, of the proofs of the theorems in volume 1 would have revealed that several crucial proofs would no longer go through, and this Frege must have found out.

But the work is "the first crucial proof-of-concept" that getting around the integrating viruses is possible, he says.

In this sense, Australia's pilot program with the device is a crucial proof-of-concept to demonstrate how reliable these devices are and whether they can actually make a dent in waste from plastic water bottles while providing fresh water to drought stricken communities.

Metalogical features crucial for proof-theoretic semantics and for the first time systematically investigated and published by Prawitz (1965) include: Reduction: For every detour consisting of an introduction immediately followed by an elimination there is a reduction step removing this detour.

This step is crucial as proof-of-concept of the basic indeterminacy of the reverse engineering procedure, given that a discrimination of the source networks on the pure basis of their outputs should imply the (at least theoretical) possibility to establish a 1 1 mapping between genotype and phenotype in the presence of sufficient data.