Sentence examples for proof of the problems from inspiring English sources

Energy Services' decision to exit so many contracts, including its largest, a $2.2 billion contract signed only last year with Owens-Illinois, the giant glass and plastic maker, is proof of the problems at the division, former employees said.

Chinese officials largely saw Trump as all bluster, someone they could use as proof of the problems inherent in capitalist democratic systems, trust not to carry through on his biggest threats, and probably strike some pragmatic deals with.

It helps to have quantifiable proof of the problem," Gips says.

A French mathematician had formulated a proof of the problem, which is known as Calabi's conjecture, but Yau's, because it was more general, was more powerful.

But Dr. Hales's proof of the problem, known as the Kepler Conjecture, hinges on a complex series of computer calculations, too many and too tedious for mathematicians reviewing his paper to check by hand.

This was further proof of the problem facing David Cameron's government, its failure to win full-hearted support from rightwing newspapers that have long been the Tories' traditional allies.

Officers in Kent were alerted by a resident of Tunbridge Wells who said that the man had demanded £300 to carry out repairs after producing the dead squirrel as proof of the problem.

The concept of enhancement has been used in a previous proof of the problem.

The principal goal of this note is to give a new proof of the problem without using the relation of these two theorems.

If something does go wrong with your new hedgehog, see a vet so that you have professional proof of the problem when you return to the breeder or store to complain.

In this note, we give a new proof on the problem of the two theorems by using some results about the generating functions of convex compositions given by GE Andrews and Appell-Lerch sums.