Sentence examples for a simpler proof from inspiring English sources

The idea of slicing by parallel planes was rediscovered in China, and a simpler proof that the volume of a sphere is two-thirds the volume of its circumscribing cylinder, using areas alone, was given by Liu Hui in ad 263.

A simpler proof was found by Jones.

In one case, it discovered a simpler proof than Principia's.

See also [7] for a simpler proof of this result.

Beal is trying to pull off another anatomical feat: coming up with a "simpler" proof of Fermat's last theorem.

Here we give a simpler proof, directly using Sturm comparison principle.

A simple proof of this theorem was attributed to the Pythagoreans.

I offer a simple proof:Suppose an omniscient climatologist predicts that carbon-dioxide emissions will precipitate a crisis within five years.

See [20] for a simple proof.

We can give a simple proof.

A simple proof is given as following.