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master's thesis
Brojevni sustavi
Zagreb: University of Zagreb, Faculty of Science, 2018. urn:nbn:hr:217:743803
Batel, Vedran
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Batel, V. (2018). Brojevni sustavi (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:743803

Batel, Vedran. "Brojevni sustavi." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:743803

Batel, Vedran. "Brojevni sustavi." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:743803

Batel, V. (2018). 'Brojevni sustavi', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:743803

Batel V. Brojevni sustavi [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2018 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:743803

V. Batel, "Brojevni sustavi", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:217:743803

Metadata
TitleBrojevni sustavi
AuthorVedran Batel
MentorTomislav Pejković (mentor)
Committee memberTomislav Pejković (predsjednik povjerenstva)
Committee memberŽeljka Milin Šipuš (član povjerenstva)
Committee memberDražen Adamović (član povjerenstva)
Committee memberSlaven Kožić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2018-09-25, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Prvi brojevni sustavi razvili su se oko 3500. g. pr. Kr. kada su i prvi puta uvedene brojke. Stare civilizacije koristile su brojevne sustave s bazama 10, 12, 20 i 60. Nas u ovom radu zanimaju općeniti brojevni sustavi s bazom koja je proizvoljan prirodni broj veći od 1. Za njih proučavamo funkciju sume znamenaka definiranu na prirodnim brojevima te općenitije brojanje blokova znamenki. U drugom dijelu rada promatramo prikaz u bazi \(k\) s drugim skupom znamenki te neke nestandardne prikaze poput Fibonaccijevog, Ostrovskijevog ili prikaza u negativnoj ili kompleksnoj bazi.
Abstract (english)
The first numeration systems evolved around 3500 BC. when the numbers were introduced for the first time. Old civilizations used numeration systems with bases 10, 12, 20, and 60. In this work, we are interested in general numeration systems with a base that is an arbitrary positive integer greater than one. We study the sum of digits function defined on positive integers and, more generally, functions counting blocks of digits. In the second part of this work, we examine representations in base \(k\) with alternative set of digits and some non-standard representations such as Fibonacci's, Ostrowsky's and also representations in negative or complex bases.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:743803
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-03-04 11:14:10