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» An Abstract Data Type for Real Numbers
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DAGSTUHL
2008
13 years 9 months ago
Real Algebraic Numbers: Complexity Analysis and Experimentation
Abstract. We present algorithmic, complexity and implementation results concerning real root isolation of a polynomial of degree d, with integer coefficients of bit size , using S...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
CADE
2009
Springer
14 years 8 months ago
A Generalization of Semenov's Theorem to Automata over Real Numbers
Abstract This work studies the properties of finite automata recognizing vectors with real components, encoded positionally in a given integer numeration base. Such automata are us...
Bernard Boigelot, Jérôme Leroux, Juli...
CCA
2005
Springer
14 years 1 months ago
The Dedekind Reals in Abstract Stone Duality
kind Reals in Abstract Stone Duality Andrej Bauer and Paul Taylor 3 June 2009 Stone Duality (ASD) is a direct axiomatisation of general topology, in contrast to the traditional an...
Andrej Bauer, Paul Taylor 0002
IJBRA
2007
95views more  IJBRA 2007»
13 years 7 months ago
A novel stationary wavelet denoising algorithm for array-based DNA Copy Number data
Abstract: High-throughput array-based assays have recently been developed to detect DNA copy number (DCN) aberrations. The DCN data from these arrays is characterized by high level...
Yuhang Wang, Siling Wang
BMCBI
2010
136views more  BMCBI 2010»
13 years 7 months ago
An integrated Bayesian analysis of LOH and copy number data
Background: Cancer and other disorders are due to genomic lesions. SNP-microarrays are able to measure simultaneously both genotype and copy number (CN) at several Single Nucleoti...
Paola M. V. Rancoita, Marcus Hutter, Francesco Ber...