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13th IEEE Symposium on Computer Arithmetic (ARITH-13 '97)
On Radix Representation of Rings
Asilomar, CA
March 06-March 09
ISBN: 0-8186-7846-1
ASCII Text
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Asger Munk Nielsen, Peter Kornerup, "On Radix Representation of Rings," Computer Arithmetic, IEEE Symposium on, pp. 34, 13th IEEE Symposium on Computer Arithmetic (ARITH-13 '97), 1997.
 
 
BibTex
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@article{ 10.1109/ARITH.1997.614877,
author = {Asger Munk Nielsen and Peter Kornerup},
title = {On Radix Representation of Rings},
journal ={Computer Arithmetic, IEEE Symposium on},
volume = {0},
year = {1997},
issn = {1063-6889},
pages = {34},
doi = {http://doi.ieeecomputersociety.org/10.1109/ARITH.1997.614877},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Computer Arithmetic, IEEE Symposium on
TI - On Radix Representation of Rings
SN - 1063-6889
SP
EP
A1 - Asger Munk Nielsen,
A1 - Peter Kornerup,
PY - 1997
KW - arithmetic
KW - radix representation
KW - rings
KW - redundancy
KW - completeness
KW - mappings
KW - complex number systems
KW - Gaussian integers
KW - Eisenstein integers
VL - 0
JA - Computer Arithmetic, IEEE Symposium on
ER -
 
Asger Munk Nielsen, Dept. of Math. & Comput. Sci., Odense Univ., Denmark
Peter Kornerup, Dept. of Math. & Comput. Sci., Odense Univ., Denmark
This paper presents a thorough analysis of radix representations of elements from general rings. In particular, we study the questions of redundancy, completeness and mappings into such representations. After a brief description of the more usual representations of integers, a more detailed analysis of various complex number systems is performed. This includes the "classical" complex number systems for the Gaussian integers, as well as the Eisenstein integers.
Index Terms:
arithmetic, radix representation, rings, redundancy, completeness, mappings, complex number systems, Gaussian integers, Eisenstein integers
Citation:
Asger Munk Nielsen, Peter Kornerup, "On Radix Representation of Rings," arith, pp.34, 13th IEEE Symposium on Computer Arithmetic (ARITH-13 '97), 1997
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