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» Interval Arithmetic with Containment Sets
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RC
1998
92views more  RC 1998»
13 years 4 months ago
When Is the Product of Intervals Also an Interval?
Interval arithmetic is based on the fact that for intervals on the real line, the element-wise product of two intervals is also an interval. This property is not always true: e.g....
Olga Kosheleva, Piet G. Vroegindeweij
CSCLP
2003
Springer
13 years 10 months ago
A Comparative Study of Arithmetic Constraints on Integer Intervals
Abstract. We propose here a number of approaches to implement constraint propagation for arithmetic constraints on integer intervals. To this end we introduce integer interval arit...
Krzysztof R. Apt, Peter Zoeteweij
DAGSTUHL
2006
13 years 6 months ago
A Proposal to add Interval Arithmetic to the C++ Standard Library
Proposed text to specify an interval class in the C++ standard library, with justification and background. Contents I Motivation and Scope 3 II Foundations 3 IIIImpact on the Stan...
Sylvain Pion, Hervé Brönnimann, Guilla...
CPAIOR
2010
Springer
13 years 10 months ago
Constraint Reasoning with Uncertain Data Using CDF-Intervals
Interval coefficients have been introduced in OR and CP to specify uncertain data in order to provide reliable solutions to convex models. The output is generally a solution set, ...
Aya Saad, Carmen Gervet, Slim Abdennadher
DAGSTUHL
2008
13 years 6 months ago
A Modified Staggered Correction Arithmetic with Enhanced Accuracy and Very Wide Exponent Range
Abstract. A so called staggered precision arithmetic is a special kind of a multiple precision arithmetic based on the underlying floating point data format (typically IEEE double ...
Frithjof Blomquist, Werner Hofschuster, Walter Kr&...