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master's thesis
Rektifikabilni lukovi
2020. urn:nbn:hr:217:204487
Okić, Patricija
University of Zagreb
Faculty of Science
Department of Mathematics

Cite this document

Okić, P. (2020). Rektifikabilni lukovi (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:204487

Okić, Patricija. "Rektifikabilni lukovi." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:204487

Okić, Patricija. "Rektifikabilni lukovi." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:204487

Okić, P. (2020). 'Rektifikabilni lukovi', Master's thesis, University of Zagreb, Faculty of Science, accessed 14 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:204487

Okić P. Rektifikabilni lukovi [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2020 [cited 2024 November 14] Available at: https://urn.nsk.hr/urn:nbn:hr:217:204487

P. Okić, "Rektifikabilni lukovi", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:217:204487

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Metadata
TitleRektifikabilni lukovi
AuthorPatricija Okić
MentorZvonko Iljazović (mentor)
Committee memberZvonko Iljazović (predsjednik povjerenstva)
Committee memberMarko Vrdoljak (član povjerenstva)
Committee memberGoran Muić (član povjerenstva)
Committee memberLjiljana Arambašić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2020-07-21, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu proučavani su pojmovi luka i duljine luka. Kroz dva poglavlja iskazana je i dokazana temeljna teorija nužna za razumijevanje spomenutih pojmova uz nekoliko primjera. Sam rektifikabilan luk je definiran kao luk čija je parametrizacija ujedno i funkcija omeđene varijacije, dok je njegova duljina jednaka totalnoj varijaciji njegove parametrizacije. Konačno, navodimo kako duljina luka ne ovisi o izboru parametrizacije luka.
Abstract (english)
In this thesis, we studied the concepts of arc and arc length. Basic theory that is necessary for understanding the mentioned concepts is presented and proven with a few examples, through two chapters. The rectifiable arc itself is defined as an arc whose parameterization is also a function of bounded variation, while its length is equal to the total variation of its parameterization. Finally, we state that the length of an arc does not depend on the choice of arc parametrization.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:204487
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 on2020-11-26 13:27:56