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master's thesis
Fraktalna geometrija i teorija dimenzije
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. urn:nbn:hr:126:654594
Ivančić, Irena
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics and Computer Science
Applied Mathematics and Optimization Research Group

Institutional repository: Repository of School of Applied Mathematics and Informatics

Cite this document

Ivančić, I. (2019). Fraktalna geometrija i teorija dimenzije (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:654594

Ivančić, Irena. "Fraktalna geometrija i teorija dimenzije." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:654594

Ivančić, Irena. "Fraktalna geometrija i teorija dimenzije." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:654594

Ivančić, I. (2019). 'Fraktalna geometrija i teorija dimenzije', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 21 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:654594

Ivančić I. Fraktalna geometrija i teorija dimenzije [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2024 December 21] Available at: https://urn.nsk.hr/urn:nbn:hr:126:654594

I. Ivančić, "Fraktalna geometrija i teorija dimenzije", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:654594

Metadata
TitleFraktalna geometrija i teorija dimenzije
Title (english)Fractal Geometry and Dimension Theory
AuthorIrena Ivančić
MentorTomislav Marošević (mentor)
Committee memberZdenka Kolar-Begović (predsjednik povjerenstva)
Committee memberTomislav Marošević (član povjerenstva)
Committee memberSuzana Miodragović (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics and Computer Science)
(Applied Mathematics and Optimization Research Group)
Osijek
Defense date and country2019-09-17, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Geometry and Topology
Abstract
Od početka razvijanja znanosti, ljude je fascinirao svijet oko njih i pojašnjavanje načina na koji on funkcionira. Iako su s početkom uvođenja teorije dimenzije- dimenzije koja bi pobliže opisivala prirodni svijet, matematičari naišli na velik otpor tadašnje matematičke zajednice, fraktalna geometrija je našla svoje mjesto u modernom svijetu. Fraktali nam omogućuju lako modeliranje različitih prirodnih fenomena, kako prirode, tako i strukture ljudskog i životinjskog tijela. Zbog prirode fraktala, naročito toga što se računalno iznimno lako generiraju, fraktali uvelike olakšavaju modeliranje svijeta. Priroda, nastala milijunima godina evolucije, pronašla je načine optimizacije svojih funkcija što ljudi i danas pokušavaju otkriti. Fraktalna geometrija nam pomaže stvoriti most izmedu prirodnih struktura i elektroničkih uredaja čije performanse želimo optimizirati. Iz fraktalne geometrije se takoder razvila i fraktalna dimenzija, novi način promatranja prirodnih fenomena. Ova otkrića u nedavno vrijeme su otvorila vrata mnogim mogućnostima.
Abstract (english)
From the beginnings of exploring science, people were fascinated by the world around them as well as explaining the way in which it functions. Even though people who started studying new dimension theory came to resistance of mathematical community, fractal geometry found its place in modern world. Fractals give us a way of easier modelling different natural phenomena, nature as well as human and animal bodies. Because of the fractal nature, especially they are easily computer generated, they are used for easy world modelling. Nature originated from millions of years of evolution, found ways for optimization for its functions which people to this day try to recreate. Fractal geometry gives a bridge between natural structures and electronic devices whose performances we want to optimize. Fractal geometry was also the ground for development of fractal dimension, new way of observing natural phenomena. These discoveries recently opened the door to many possibilities.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:654594
Study programmeTitle: Mathematics and Computer Science
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-09-19 06:39:19