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MLQ
2008
50views more  MLQ 2008»
14 years 10 months ago
Long Borel hierarchies
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...
Arnold W. Miller
SIAMSC
2008
122views more  SIAMSC 2008»
14 years 10 months ago
A Framework for Discrete Integral Transformations II-The 2D Discrete Radon Transform
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,...
TCS
2008
14 years 10 months ago
Approximate GCDs of polynomials and sparse SOS relaxations
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 ...
Bin Li, Jiawang Nie, Lihong Zhi
TIT
2008
87views more  TIT 2008»
14 years 10 months ago
Performance of Parallel Concatenated Coding Schemes
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...
Fabio Fagnani
TIT
2008
82views more  TIT 2008»
14 years 10 months ago
ZRM Codes
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 ...
Joaquim Borges, Cristina Fernández-Có...