Arithmetical Aspects of a Number System with Negative Tribonacci Base
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F13%3A00209196" target="_blank" >RIV/68407700:21340/13:00209196 - isvavai.cz</a>
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Arithmetical Aspects of a Number System with Negative Tribonacci Base
Original language description
We study arithmetical aspects of Ito-Sadahiro number systems with negative base. We present an effctive algorithm for addition when the base is -gamma, where gamma > 1 is the tribonacci constant, the root of x3 - x2 - x - 1: In particular, we show that addition can be done by a finite state transducer. As a consequence of the structure of the transducer, one can show that gamma posseses the so-called niteness property. Moreover, determine the maximal number of fractional digits arising from summing two(-gamma)-integers.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů