Sentence examples for a proof was published from inspiring English sources

A proof was published by Cauchy in 1825, and this result is now named Cauchy's theorem.

The four triangles and the square side c must have the same area as the larger square, :(b+a)^2 = c^2 + 4\frac{ab}{2} = c^2+2ab,\, giving :c^2 = (b+a)^2 - 2ab = a^2 + b^2.\, A related proof was published by future U.S. President James A. Garfield (then a U.S. Representative).

The following result was established in [1] and its proof was published in [3].

It was established in [1, 12], its detailed proof was published in [3].

The following result was established in [1] and its detailed proof was published in [3].

Although Turing's proof was published shortly after Alonzo Church's equivalent proof using his lambda calculus, Turing had been unaware of Church's work.

Over the years several related proofs were published, but the first full proof of Gödel's original result was given only in 1994 by Sam Buss in his 'On Gödel's theorems on lengths of proofs I: Number of lines and speedups for arithmetic.' (Buss 1994).

Ms Cole, who rose to fame in the pop group Girls Aloud, is also suing over a follow up story headlined: "Cheryl And Harvey: The Proof" which was published a week later.

(To be eligible, a proof must be published in a peer-reviewed venue and withstand two years of scrutiny by the mathematical community).

While the present article was in proof, an important study was published demonstrating the role of the HDAC2 isoform in promoting persistent fear extinction in rodents [ 105].

I was given this book to read as a proof copy (before it was published) by my bookshop.