| | SLO | ENG | Cookies and privacy

Bigger font | Smaller font

Show document Help

Title:Algoritmi za računanje egipčanskih ulomkov
Authors:ID Žuran, Monia (Author)
ID Mencinger, Matej (Mentor) More about this mentor... New window
ID Špacapan, Simon (Comentor)
Files:.pdf MAG_Zuran_Monia_2022.pdf (525,82 KB)
MD5: 67E21A2B51EB705421849E6B5A398782
PID: 20.500.12556/dkum/89392fb2-b887-4262-827a-970e2724c2b3
 
Language:Slovenian
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Egipčani so ulomke izražali kot vsote med seboj različnih, pozitivnih enotskih ulomkov. Takšne ulomke danes imenujemo egipčanski ulomki. V magistrskem delu obravnavamo algoritme za računanje egipčanskih ulomkov, ki temeljijo na aproksimacijah, na dvojiškem sistemu, na verižnih ulomkih, na metodi majhnih števcev in na obratni požrešni metodi. V prvem delu spoznamo številske sisteme, ki so jih poznali v starodavnem Egiptu, definiramo egipčanski ulomek ter spoznamo osnove algoritmov. V drugem delu posamezne algoritme opišemo in predstavimo na primerih. Izbran algoritem udejanjimo v programskem jeziku C++.
Keywords:Enotski ulomek, Egipčanski ulomek, Algoritem, Požrešna metoda, Dvojiška metoda, Verižni ulomek, Obratna požrešna metoda.
Place of publishing:Maribor
Publisher:[M. Žuran]
Year of publishing:2022
PID:20.500.12556/DKUM-81584 New window
UDC:511.41(043.2)
COBISS.SI-ID:111921667 New window
Publication date in DKUM:12.07.2022
Views:1239
Downloads:155
Metadata:XML DC-XML DC-RDF
Categories:FNM
:
Copy citation
  
Average score:(0 votes)
Your score:Voting is allowed only for logged in users.
Share:Bookmark and Share



Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Licences

License:CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Link:http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Licensing start date:20.04.2022

Secondary language

Language:English
Title:Algorithms for computing egyptian fractions
Abstract:The Egyptians expressed fractions as sums of different positive unit fractions. Today, such fractions are named Egyptian fractions. In this master’s thesis we discuss the algorithms for calculating Egyptian fractions based on approximations, the binary system, the chain fractions, the method of small counters and on the reverse greedy method. In the first part, we get to know the number systems that were known in ancient Egypt, define the Egyptian fraction, and learn the basics of algorithms. In the second part of the thesis, we describe and present each algorithm with the chosen examples. Then the selected algorithm is implemented in the C ++ programming language.
Keywords:Unit fraction, Egyptian fraction, Algorithm, Greedy method, Binary method, Continued fraction, Reverse Greedy method.


Comments

Leave comment

You must log in to leave a comment.

Comments (0)
0 - 0 / 0
 
There are no comments!

Back
Logos of partners University of Maribor University of Ljubljana University of Primorska University of Nova Gorica