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» Why Interval Arithmetic is so Useful
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RC
2006
69views more  RC 2006»
13 years 10 months ago
The Set of Hausdorff Continuous Functions - The Largest Linear Space of Interval Functions
Hausdorff continuous (H-continuous) functions are special interval-valued functions which are commonly used in practice, e.g. histograms are such functions. However, in order to av...
Roumen Anguelov, Svetoslav Markov, Blagovest Sendo...
BIRTHDAY
2007
Springer
14 years 5 months ago
The Hydra Battle Revisited
Showing termination of the Battle of Hercules and Hydra is a challenge. We present the battle both as a rewrite system and as an arithmetic while program, provide proofs of their t...
Nachum Dershowitz, Georg Moser
GECCO
2004
Springer
107views Optimization» more  GECCO 2004»
14 years 4 months ago
An Evolution Strategy Using a Continuous Version of the Gray-Code Neighbourhood Distribution
Abstract. We derive a continuous probability distribution which generates neighbours of a point in an interval in a similar way to the bitwise mutation of a Gray code binary string...
Jonathan E. Rowe, Dzena Hidovic
ENTCS
2008
91views more  ENTCS 2008»
13 years 11 months ago
Implementing Real Numbers With RZ
RZ is a tool which translates axiomatizations of mathematical structures to program specifications using the realizability interpretation of logic. This helps programmers correctl...
Andrej Bauer, Iztok Kavkler
CP
2008
Springer
14 years 20 days ago
Exploiting Common Subexpressions in Numerical CSPs
It is acknowledged that the symbolic form of the equations is crucial for interval-based solving techniques to efficiently handle systems of equations over the reals. However, only...
Ignacio Araya, Bertrand Neveu, Gilles Trombettoni