In this paper we derive the central limit theorem for $\sum\nolimits_{i = 1}^n {{a_{ni}}{\xi _i}} $, where {ani, 1 ≤ i ≤ n} is a triangular array of nonnegative numbers such that supn ...

There’s a delightful mathematical moment in the movie Merry Andrew, when Danny Kaye, playing schoolmaster Andrew Larabee, breaks into song to teach the Pythagorean theorem. I was reminded of this ...