We show that there is a model of ZF in which the Borel hierarchy on the reals has length 2. This implies that 1 has countable cofinality, so the axiom of choice fails very badly i...
The Radon transform is a fundamental tool in many areas. For example, in reconstruction of an image from its projections (CT scanning). Although it is situated in the core of many...
Amir Averbuch, Ronald R. Coifman, David L. Donoho,...
The problem of computing approximate GCDs of several polynomials with real or complex coefficients can be formulated as computing the minimal perturbation such that the perturbed ...
In this paper we study ensembles of parallel concatenated codes and we present precise results on their asymptotic performance. In particular, we prove that We prove that in any p...
Abstract. Quaternary Z RM (r,m) codes were defined to study the Z4-linearity of ReedMuller codes. In the literature two different definitions of such codes can be found, denoted Z ...