Sentence examples for which proof from inspiring English sources

Though few other scenarios exist in our 21st-century society in which proof of bloodline continuity is necessary, one is still crucial - the British monarchy.

Employing an axiomatic system in which proof was by direct reduction and indirect reduction or reductio ad impossibile, Aristotle was able to reduce all syllogisms to those of the first figure.

For Hilbert, the aims were a complete clarification of the foundational problems through finitary proofs of consistency, etc, aims in which proof theory failed.

We then have the following theorem for which proof is given in Appendix 1: left|nabla Tright|=mathcal{C} (3).

The next auxiliary result is a Gronwall type lemma, which proof is elementary and so it is omitted.

The (mathcal {NP} -hardness proof is based on a Karp reduction, the principle of which (proof by contradiction) is depicted in Fig. 9.

Given the ease with which proof-of-origin papers can be faked, it was hard to tell where any of it really came from.

Africa – we – are exporting brains to the west," she said, citing the use of antiretroviral therapy to prevent HIV infection, for which proof-of-concept was driven by researchers in South Africa.

Notice that, due to Proposition 2, (theta ^) decreases with (alpha ) which proofs the result.

It combines this with proofs of time that disarm a wide array of attacks to which proofs of space are susceptible.

With the increase of σ2, the temperature change area is planar of rock specimen which proofs that the failure mode of rock specimen turns into slabbing.