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Interval arithmetic

Known as: Extensions for Scientific Computing, Interval-valued computation, XSC (floating point) 
Interval arithmetic, interval mathematics, interval analysis, or interval computation, is a method developed by mathematicians since the 1950s and… Expand
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Highly Cited
2009
Highly Cited
2009
This unique book provides an introduction to a subject whose use has steadily increased over the past 40 years. An update of… Expand
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Highly Cited
2005
Highly Cited
2005
This paper justifies why an arbitrary precision interval arithmetic is needed. To provide accurate results, interval computations… Expand
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Highly Cited
2004
Highly Cited
2004
Affine arithmetic is a model for self-validated numerical computation that keeps track of first-order correlations between… Expand
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Highly Cited
2003
Highly Cited
2003
The use of protected operators and squared error measures are standard approaches in symbolic regression. It will be shown that… Expand
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Highly Cited
2001
Highly Cited
2001
We start with a mathematical definition of a real interval as a closed, connected set of reals. Interval arithmetic operations… Expand
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Highly Cited
2001
Highly Cited
2001
We revisit the problem of interval estimation of a binomial proportion. The erratic behavior of the coverage probability of the… Expand
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Highly Cited
1999
Highly Cited
1999
Ideal for graduate and senior undergraduate courses in computer arithmetic and advanced digital design, Computer Arithmetic… Expand
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Highly Cited
1997
Highly Cited
1997
When looking at a scene, observers feel that they see its entire structure in great detail and can immediately notice any changes… Expand
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Highly Cited
1992
Highly Cited
1992
  • E. Don Hansen
  • Pure and applied mathematics
  • 1992
  • Corpus ID: 123446486
Employing a closed set-theoretic foundation for interval computations, Global Optimization Using Interval Analysis simplifies… Expand
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Highly Cited
1991
Highly Cited
1991
Power flow analysis is the fundamental tool for the study of power systems. The data for this problem are subject to uncertainty… Expand
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