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FLOPS
2008
Springer
15 years 8 months ago
Certified Exact Real Arithmetic Using Co-induction in Arbitrary Integer Base
In this paper we describe some certified algorithms for exact real arithmetic based on co-recursion. Our work is based on previous experiences using redundant digits of base 2 but ...
Nicolas Julien
COMPUTING
2007
118views more  COMPUTING 2007»
15 years 6 months ago
The construction of good extensible Korobov rules
In this paper we introduce construction algorithms for Korobov rules for numerical integration which work well for a given set of dimensions simultaneously. The existence of such ...
Josef Dick, Friedrich Pillichshammer, Benjamin J. ...
TCS
2002
15 years 6 months ago
A characterization of c.e. random reals
A real is computably enumerable if it is the limit of a computable, increasing, converging sequence of rationals. A real is random if its binary expansion is a random sequence. Ou...
Cristian Calude
CORR
2011
Springer
156views Education» more  CORR 2011»
15 years 1 months ago
Extensional Collapse Situations I: non-termination and unrecoverable errors
Abstract. We consider a simple model of higher order, functional computations over the booleans. Then, we enrich the model in order to encompass non-termination and unrecoverable e...
Antonio Bucciarelli
COMPGEOM
2001
ACM
15 years 10 months ago
The convex hull of ellipsoids
The treatment of curved algebraic surfaces becomes more and more the focus of attention in Computational Geometry. We present a video that illustrates the computation of the conve...
Nicola Geismann, Michael Hemmer, Elmar Schöme...