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master's thesis
Hausdorffova metrika
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:792902
Volarić, Marina
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Volarić, M. (2015). Hausdorffova metrika (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:792902

Volarić, Marina. "Hausdorffova metrika." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:792902

Volarić, Marina. "Hausdorffova metrika." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:792902

Volarić, M. (2015). 'Hausdorffova metrika', Master's thesis, University of Zagreb, Faculty of Science, accessed 27 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:792902

Volarić M. Hausdorffova metrika [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 November 27] Available at: https://urn.nsk.hr/urn:nbn:hr:217:792902

M. Volarić, "Hausdorffova metrika", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:792902

Metadata
TitleHausdorffova metrika
AuthorMarina Volarić
MentorZvonko Iljazović (mentor)
Committee memberZvonko Iljazović (predsjednik povjerenstva)
Committee memberPavle Pandžić (član povjerenstva)
Committee memberMarko Vrdoljak (član povjerenstva)
Committee memberMiljenko Marušić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-07-13, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Tema ovog diplomskog rada je Hausdorffova metrika. U prvom poglavlju se definira pojam metričkoga prostora te se također definiraju neki pojmovi s tim u vezi. U drugom poglavlju se definira Hausdorffova udaljenost između dva skupa. Nadalje, promatraju se pseudometrika, zatvoreni skupovi, potpuno omeđeni skupovi, gusti skupovi te pojam zatvarača skupa te se ispituju veze ovih pojmova i Hausdorffove udaljenosti.
Abstract (english)
The subject of this thesis is Hausdorff metric. The first chapter we define the notion of a metric space and we also define some basic notions related to metric spaces. In the second chapter we define the Hausdorff distance between two sets. Furthermore, we observe pseudometric, closed sets, totally bounded sets, dense sets and the notion of the closure of a set and we examine relationships between these notions and the Hausdorff distance.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:792902
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 on2019-02-19 15:09:57