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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 4.9 Extended interval arithme tic 137
corresponding spaces over D and S,forinstance
fIV
n
CS, ICS, , g $ fV
n
ICS, ICS, , g
$fV
n
CIS , CIS, , g,
fIM
n
CS, ICS, , g $ fM
n
ICS, ICS, , g
$fM
n
CIS, CIS, , g,
fIV
n
CS, IM
n
CS, , g $ fV
n
ICS, M
n
ICS, , g
$fV
n
CIS , M
n
CIS, , g.
Figure 4.8 summarizes all these results. As in the similar figures displayed before,
double arrows indicate isomorphisms, horizontal arrows denote semimorphisms, and
vertical arrows indicate a conventional d efinition of the arithmetic operations. All op-
erations defined by semimorphisms within vectoids ending with CID or CIS can be
implemented on a computer by the exact scala ...
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Publisher Resources

ISBN: 9783110301731