Sentence examples for end of a proof from inspiring English sources

□ stands for the end of a proof.

"The only way to improve things is through violent methods," he explained, smiling, as if he had reached the satisfying end of a mathematical proof.

In the end, a proof of concept was performed using two different mAbs from serum-free CHO cell cultures.

We will see, at the end of this proof, that for a proper choice of ϵ, when condition (9) holds, we have m ≥ 2 C N β 2 s log ( 2 N 2 / ε ) log 4 ( N ).

A filled-in square (a "bullet") at the end of the proof.

Let (c_0>0 ) be a constant which will be chosen at the end of the proof.

end{aligned} (3.62)We show how to construct such a function (zeta ) from the function (3.59) at the end of the proof.

This is the end of the proof.

That's the end of the proof.

And, that's the end of the proof.

But that is impossible and that's the end of the proof because the sum of this Xi-hat is equal to this sum.