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FSTTCS
2010
Springer
13 years 9 months ago
Computing Rational Radical Sums in Uniform TC^0
A fundamental problem in numerical computation and computational geometry is to determine the sign of arithmetic expressions in radicals. Here we consider the simpler problem of d...
Paul Hunter, Patricia Bouyer, Nicolas Markey, Jo&e...
MLQ
2002
75views more  MLQ 2002»
13 years 10 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
RML
2006
123views Business» more  RML 2006»
13 years 10 months ago
Some Results on Ordered Structures in Toposes
Abstract. A topos version of Cantor's back and forth theorem is established and used to prove that the ordered structure of the rational numbers Q, < is homogeneous in any ...
Luís A. Sbardellini, Marcelo E. Coniglio
FC
2010
Springer
196views Cryptology» more  FC 2010»
13 years 12 months ago
Secure Computation with Fixed-Point Numbers
Abstract. Secure computation is a promising approach to business problems in which several parties want to run a joint application and cannot reveal their inputs. Secure computatio...
Octavian Catrina, Amitabh Saxena
ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
14 years 4 months ago
On the complexity of factoring bivariate supersparse (Lacunary) polynomials
We present algorithms that compute the linear and quadratic factors of supersparse (lacunary) bivariate polynomials over the rational numbers in polynomial-time in the input size....
Erich Kaltofen, Pascal Koiran