A random variable X that is base b Benford will not in general be c when c≠b. This paper builds on two of my earlier papers and an attempt to cast some light the issue dependence. Following introductory material, “Benford spectrum” a positive introduced known analytic results about spectra are summarized. Some standard machinery for analysis” combined with method “seed functions” yield tools an...

Abstract This paper is concerned with the lossy compression of general random variables, specifically rate-distortion theory and quantization variables taking values in measurable spaces such as, e.g. manifolds fractal sets. Manifold structures are prevalent data science, compressed sensing, machine learning, image processing handwritten digit recognition. Fractal sets find application modeling...