Sentence examples for precise proof from inspiring English sources

First consider languages that have a precise proof system of the familiar sort.

For a precise proof, see the proof of [[21], Lemma 2.4].

As for the injectivity, a precise proof can be found in [2, Sect. 3].

In general, the Egyptians say that their ancestors sent forth numerous colonies to many parts of the inhabited world, the pre-eminence of their former kings and their excessive population; 6 but since they offer no precise proof whatsoever for these statements, and since no historian worthy of credence testifies in their support, we have not thought that their accounts merited recording.

"It's hard to believe that the U.S., with all of its spy satellites available for monitoring everything in Ukraine that precise proof of who did what and when is not available," he added.

It's unclear whether the public will demand such precise proof of safety before accepting driverless cars on the road, says Nidhi Kalra, the co-author of the Rand report.

However, even detailed and precise proofs are rarely expressed purely in the language of logic; rather, they are a mixture of ordinary language, mathematical, and logical symbols and terminology.

It's precise, smell-proof and makes the process of decarbing simple to the user.

Even so, this practice was abandoned in most of the developed countries because of responsibility issues, lack of precise safety proofs, and ethical issues.

The precise burden of proof in such cases, usually referred to as "clear and convincing" evidence, remains notoriously inexact.

Record companies, artist managers and radio stations pay handsomely--$10 million annually--for the data because it is believed to be precise and tamper-proof.