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» Why Interval Arithmetic is so Useful
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RC
2006
69views more  RC 2006»
14 years 11 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
15 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»
15 years 5 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»
14 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
15 years 1 months 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