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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
Section 4.12 Exception-free arithmetic for closed real intervals on the computer 149
arithmetic is defined as an arithmetic for sets of real numbers. Operations for real
numbers which deliver 1 as their result do not exist. Here and in the following, the
symbols 1 and C1 are only used to describe sets of real numbers.
Independently of whether division by an interval Œb
1
, b
2
with b
1
< 0 <b
2
is
performed at once or sequentially in two steps, the result consists of two distinct sets.
Also, in our interpretation an improper interval describes the two distinct sets .1, c
2
and Œc
1
, C1/. In any case a flag that the result consists of two distinct intervals ...
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Publisher Resources

ISBN: 9783110301731