Sentence examples for proof to explain from inspiring English sources

We give here this proof to explain the appearance of the operator (K_{a}) because it plays a crucial role in our studies.

As a result, startups seeking funding often shoulder the burden of proof to explain to potential investors what "traction" specifically means for their product, as well as why the key foundational metrics were chosen in making their case.

Australia is considering a series of legislative reforms, including forcing people to face the legal burden of proof to explain what they are doing in areas proscribed by the Australian government and the possibility of suspending passports to investigate activities of people in Australia.

Unlike many other approaches to deduction in probabilistic logic, this approach is based on inference rules and therefore can produce proofs to explain how conclusions are drawn.

Although our data identified the variations of Dnmt expression as proofs to explain the presence of 3/8 aberrant DNA methylation profile of apoptosis-associated genes, we cannot exclude the fact that the presence of 5/8 aberrant DNA methylation profile of apoptosis-associated genes is not explained by the variations in Dnmt expression.

"It is clear that the burden of proof will be ours to explain why the tests came back positive," he said in a telephone interview from Madrid.

The burden of proof is on opponents to explain how so slender a tax could harm the capital markets, Jesse Eisinger writes in The Trade.

Several set theorists are on record as making claims to that effect, so the burden of proof is on Maddy to explain away these remarks.

If other comparable countries (e.g., Britain and Australia) have done it, the burden of proof is upon those to explain why it simply can't work here.

The theory, with its set of formal assumptions and proofs, does not purport to explain the full gamut of animal behavior, yet we believe it to be a credible step toward developing a coherent mathematical framework to understand behaviors that depend on motivations stemming from internal states and needs of the individual.

If this is true, s's justification for P8 is no proposition believed by s, with the consequence that the information-dependence template cannot apply to Moore's proof and cannot be invoked to explain what is wrong with it in terms of transmission failure.