Sentence examples for be proofs of from inspiring English sources

For expanders, these will be proofs of existence of expander graphs using lifts, a la Bilu-Linial and Marcus-Spielman-Srivastava, and the possibility of using the method to obtain explicit constructions of Ramanujan expanders of all degrees; and constructions of Cayley expanders and the group-theoretic results motivated by such results.

What is required for a consistency proof is an operation which, given a formal derivation, transforms such a derivation into one of a special form, plus proofs that the operation in fact does this and that proofs of the special kind cannot be proofs of an inconsistency.

It is important to note that the results shown are meant to be proofs of principle.

But that, he knows, would be proof of failure.

And Boosaaso's main jail may be proof of that.

Music can be proof of a higher power.

Jann is proof of that.

It's proof of concept".

Derrick Rose is proof of it.

This was proof of life.

This is proof of evolution.