NDLI: Contiguous digit sets and local roundings

Content Provider	IEEE Xplore Digital Library
Author	Petkovsek, M.
Copyright Year	1989
Description	Author affiliation: Dept. of Math., Ljubljana Univ., Yugoslavia (Petkovsek, M.)
Abstract	The paper shows that certain interesting properties of roundings and representations hold at a fairly general level. The author restricts his attention to roundings of real numbers. He defines roundings by means of two parameters for each basic interval of the screen. These parameters determine the dividing point of the interval and the direction in which the dividing point moves under rounding. He shows that radix systems in which truncation and lexicographic ordering obey natural monotonicity conditions can be characterized as systems with contiguous digit sets. An examination is made of the interplay of roundings and representations.<>
Starting Page	136
Ending Page	143
File Size	458602
Page Count	8
File Format	PDF
ISBN	0818689633
DOI	10.1109/ARITH.1989.72819
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1989-09-06
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Roundoff errors Tail
Content Type	Text
Resource Type	Article

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Contiguous digit sets and local roundings