Sentence examples for proof of alternative from inspiring English sources

But once a family receives the exemption, parents are not required to show proof of alternative education.

"Hidden in the woods, a quiet research community is developing drugs that eradicate all traces of HIV, installing the nation's first brain stem cell implant and discovering proof of alternative universes.

There are stronger versions of the impossibility result that use weaker assumptions (see Cross and Nute 2001 for an excellent presentation of the proofs of alternative forms of the impossibility theorem).

Stephen Hawking has told One Direction fans to pay close attention to theoretical physics because it might come up with proof of an alternative universe in which Zayn Malik is still in the band.

Though flawed, Anthem of the Sun remains one of their most thrilling albums, as confirmed by the appalled reaction of Warners' Smith, who considered it "the most unreasonable project with which we have ever involved ourselves" – a back-handed testimonial which the band proudly brandished as proof of their alternative attitude.

Basically, he says, it means that, in the absence of proof of "feasible alternatives, public agencies are not allowed to approve projects with significant adverse affects on the environment or historic resources".

Sometimes such results are called variants of Gödel's theorem, or their proofs of independence alternative proofs of Gödel's theorem, but this is misleading: interesting as they may be, they don't have the generality of Gödel's theorems proper, but only provide statements independent of a particular theory.

We also intended for this to be an early test of a proof-of-principle for an alternative approach to evaluating AHCIPs beyond conflicts of interest.

It can be regarded as a Tarski-alternative-type theorem for locally finite metric spaces and it also served as an inspiration for the proof of the Tarski alternative (see [23, Theorem 32]).

The U.S. Geological Survey (USGS), in collaboration with the Colorado Water Conservation Board, conducted a proof-of-concept to develop an alternative method for computing under-ice discharge using hydroacoustics and the Probability Concept.

Many other cryptocurrencies operate on the same 'proof-of-work' principle - albeit on a far smaller scale - but more energy efficient alternatives like proof-of-stake are being trialled.