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MFCS
1993
Springer
13 years 11 months ago
Real Number Computability and Domain Theory
We present the different constructive definitions of real number that can be found in the literature. Using domain theory we analyse the notion of computability that is substant...
Pietro Di Gianantonio
MLQ
2002
75views more  MLQ 2002»
13 years 7 months ago
Recursive Approximability of Real Numbers
A real number is recursively approximable if there is a computable sequence of rational numbers converging to it. If some extra condition to the convergence is added, then the limi...
Xizhong Zheng
VLDB
2005
ACM
149views Database» more  VLDB 2005»
14 years 7 months ago
Selectivity estimators for multidimensional range queries over real attributes
Estimating the selectivity of multidimensional range queries over real valued attributes has significant applications in data exploration and database query optimization. In this p...
Dimitrios Gunopulos, George Kollios, Vassilis J. T...
ANTS
2008
Springer
83views Algorithms» more  ANTS 2008»
13 years 9 months ago
Enumeration of Totally Real Number Fields of Bounded Root Discriminant
We enumerate all totally real number fields F with root discriminant F 14. There are 1229 such fields, each with degree [F : Q] 9. In this article, we consider the following prob...
John Voight
JC
2000
89views more  JC 2000»
13 years 7 months ago
Weakly Computable Real Numbers
The Turing degree of a real number x is defined as the Turing degree of its binary expansion. This definition is quite natural and robust. In this paper we discuss some basic degr...
Klaus Ambos-Spies, Klaus Weihrauch, Xizhong Zheng