Sentence examples for proven equation from inspiring English sources

"There's a common explanation that profound sadness leads to someone's becoming a comedian, but I'm not sure that's a proven equation in my case," he told me.

The Xs are independent and have the same distribution, E[n−1 X1 +⋯+ Xn)] = μ and Var[ X1 +⋯+ Xn)/n] = Var X1)/n, so that This not only proves equation (11), but it also says quantitatively how large n should be in order that the empirical average, n−1 X1 +⋯+ Xn), approximate its expectation to any required degree of precision.

which proves Equation (10).

This proves equation (52).

Now we prove equation (16).

Applying Equation (35) to (46) proves Equation (16).

There are several ways to prove equation (6).

end{aligned} This proves equation (A) of Lemma 2.

end{aligned} This proves equation (B) of Lemma 2.

end{aligned} Similarly, we can prove equation (3.14).

In order to prove equation (22), we proceed as follows.