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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 5.5 On the IEEE floating-point arithmetic standard 181
In particular, it was shown that the multiplicative unit 1 may have more than one
additive inverse.
Theorem 3.12 in Section 3.7 establishes a necessary and sufficient condition for
the uniqueness of an additive inverse in a discrete subset of the real numbers R.In
Theorem 3.13 this result is extended to more g eneral structures.
In the case of a floating-point system S.b, r , e1, e2/ it was shown that this con-
dition is met if for e D e1 unnormalized mantissas are admitted in addition to the
normalized floating-point numbers of S.b, r, e1, e2/ (Definition 5.3). This extended
set of floating-point ...
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Publisher Resources

ISBN: 9783110301731