Sentence examples for proofs on from inspiring English sources

We have included their detailed proofs, on the one hand, because their proof cannot be found in the literature and, on the other hand, because they are crucial in our subsequent study and the inclusion of the proof will help the reader to delve into the techniques that will be made use of in the next section.

Are proofs of program correctness genuine mathematical proofs, i.e., are such proofs on a par with standard mathematical ones?

The QTL were analysed by within-sire linear regression of daughter yield deviations or deregressed proofs on the probability that the son receives one or the other paternal QTL allele, given the marker information.

Without these early whole animal proofs on toxicity and effectiveness, penicillin would not have been developed further.

"I guess what I'm talking about is moving out of the hipster ghetto," he said, scrolling through proofs on his two MacBook Pros.

He returned the proofs on 7 November, and sent through some replacement scenes and speeches the following day before the book was printed on 10 November, a fortnight before previews began.

Myriad had been running Proof-on-Main, the restaurant in the hotel.

She provided photographic proof on her cellphone.

Documented proof on cover clones.

He was not pressure-proof on Sunday.

This puts a big burden of proof on a book.