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Number Encodings and Arithmetics over Multisets
Timisoara, Romania September 26-September 29
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SYNASC.2006.58Eighth International Symposium on Sym ...
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Cosmin Bonchis, Cornel Izbasa, Gabriel Ciobanu, "Number Encodings and Arithmetics over Multisets," Symbolic and Numeric Algorithms for Scientific Computing, International Symposium on, pp. 354-364, Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC'06), 2006.
 
 
BibTex
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@article{ 10.1109/SYNASC.2006.58,
author = {Cosmin Bonchis and Cornel Izbasa and Gabriel Ciobanu},
title = {Number Encodings and Arithmetics over Multisets},
journal ={Symbolic and Numeric Algorithms for Scientific Computing, International Symposium on},
volume = {0},
year = {2006},
isbn = {0-7695-2740-X},
pages = {354-364},
doi = {http://doi.ieeecomputersociety.org/10.1109/SYNASC.2006.58},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
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TY - CONF
JO - Symbolic and Numeric Algorithms for Scientific Computing, International Symposium on
TI - Number Encodings and Arithmetics over Multisets
SN - 0-7695-2740-X
SP354
EP364
A1 - Cosmin Bonchis,
A1 - Cornel Izbasa,
A1 - Gabriel Ciobanu,
PY - 2006
KW - null
VL - 0
JA - Symbolic and Numeric Algorithms for Scientific Computing, International Symposium on
ER -
 
Cosmin Bonchis, Research Institute "e-Austria" Timisoara, Romania
Cornel Izbasa, Research Institute "e-Austria" Timisoara, Romania
Gabriel Ciobanu, Romanian Academy, Institute of Computer Science, Romania
In this paper we revise some previously defined nonpositional number encodings using multisets and their associated arithmetic operations, describing a general encoding/ decoding algorithm that can map natural numbers to their multiset representations, and vice versa. We present the templates for the most compact encodings in base b for successor and predecessor operations.
Citation:
Cosmin Bonchis, Cornel Izbasa, Gabriel Ciobanu, "Number Encodings and Arithmetics over Multisets," synasc, pp.354-364, Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC'06), 2006
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