We prove that a series derived using Euler's transformation provides the analytic continuation of ζ(s) for all complex s ≠ 1. At negative integers the series becomes a finite sum whose value is given ...

In this paper we consider transformations of sequences of orthogonal polynomials associated with a Hermitian linear functional ℒ using spectral transformations of the corresponding C-function F ℒ . We ...

What if instead of defining a mesh as a series of vertices and edges in a 3D space, you could describe it as a single function? The easiest function would return the signed distance to the closest ...