The sequences dealt with are sequences of points on a line. Two kinds of transformations are given separate consideration, namely (1) changes from an ensemble stationary with respect to a discrete ...

It is shown that if av and bv, v = 0, 1,..., m, are real numbers, then $\left|\underset{\mathrm{u}=0}{\overset{\mathrm{m}}{\mathrm{\Sigma }}}\underset{\mathrm{v}=0 ...

Wolfram Research has announced the release of Mathematica 8, the latest version of its flagship computation, development, and deployment platform that introduces the breakthrough concept of ...

Jacob Kastrenakes is The Verge’s executive editor. He has covered tech, policy, and online creators for over a decade. Wolfram wants to make it easier for would-be programmers everywhere to start ...