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Computer Arithmetic and Validity
book

Computer Arithmetic and Validity

by Ulrich Kulisch
April 2013
Intermediate to advanced content levelIntermediate to advanced
456 pages
16h 7m
English
De Gruyter
Content preview from Computer Arithmetic and Validity
146 Chapter 4 Interval arithmetic
4.11 Extended interval arithmetic on the computer
On a computer, only subsets of the real numbers are representable. We assume now
that F denotes the set of finite floating-point numbers representable in some floating-
point format and
F :D F [f1, C1g.ThenIF denotes the intervals of IR whose
bounds are in F,and
IF denotes the intervals of IR whose bounds are in F and the
empty set. An interval between two floating-point bounds represents the continuous
set o f real numbers between these bounds. Similarly, except for the empty set, also
extended intervals represent continuous sets of real numbers.
In this section w e summarize ...
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Publisher Resources

ISBN: 9783110301731