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UBC Theses and Dissertations
S-R-T division algorithms as dynamical systems McCann, Mark A.
Abstract
S-R-T division, as it was discovered in the late 1950s [4, 19, 23], represented an important improvement in the speed of division algorithms for computers at the time. A variant of S-R-T division is still commonly implemented in computers today. Although some bounds on the performance of the original S-R-T division method were obtained, a great many questions remained unanswered. In this thesis, S-R-T division is described as a dynamical system. This enables us to bring modern dynamical systems theory, a relatively new development in mathematics, to bear on an older problem. In doing so, we are able to show that S-R-T division is ergodic, and is even Bernoulli, for all real divisors and dividends.
Item Metadata
Title |
S-R-T division algorithms as dynamical systems
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
2002
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Description |
S-R-T division, as it was discovered in the late 1950s [4, 19, 23], represented
an important improvement in the speed of division algorithms for computers
at the time. A variant of S-R-T division is still commonly implemented in
computers today. Although some bounds on the performance of the original
S-R-T division method were obtained, a great many questions remained unanswered.
In this thesis, S-R-T division is described as a dynamical system.
This enables us to bring modern dynamical systems theory, a relatively new
development in mathematics, to bear on an older problem. In doing so, we
are able to show that S-R-T division is ergodic, and is even Bernoulli, for all
real divisors and dividends.
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Extent |
1827172 bytes
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Genre | |
Type | |
File Format |
application/pdf
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Language |
eng
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Date Available |
2009-08-13
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0051671
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2002-05
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.