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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
Chapter 3
Definition of computer arithmetic
In all branches of mathematics one is interested in gaining insight into the
structures that can occur. We have established in the preceding chapter
that the spaces listed in the leftmost element of every row in Figure 1 are
ringoids and vectoids with certain order properties such as being weakly
ordered or ordered or inclusion-isotonally ordered. We are now going to
show that these structures recur in the subsets on the right-hand side of
Figure 1 provided that the arithmetic and mapping properties are prop-
erly defined. In Section 3.1 of this chapter we give a heuristic approach to
the mapping concept of a semimorphism. In Section 3.2 we derive some
fundamental properties of semimorphisms and certain other ...
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Publisher Resources

ISBN: 9783110301731