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master's thesis
Poluizračunljivost
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:207002
Čičković, Eugen
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Čičković, E. (2015). Poluizračunljivost (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:207002

Čičković, Eugen. "Poluizračunljivost." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:207002

Čičković, Eugen. "Poluizračunljivost." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:207002

Čičković, E. (2015). 'Poluizračunljivost', Master's thesis, University of Zagreb, Faculty of Science, accessed 28 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:207002

Čičković E. Poluizračunljivost [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 December 28] Available at: https://urn.nsk.hr/urn:nbn:hr:217:207002

E. Čičković, "Poluizračunljivost", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:207002

Metadata
TitlePoluizračunljivost
AuthorEugen Čičković
MentorZvonko Iljazović (mentor)
Committee memberZvonko Iljazović (predsjednik povjerenstva)
Committee memberMladen Vuković (član povjerenstva)
Committee memberRobert Manger (član povjerenstva)
Committee memberAnte Mimica (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
U ovom diplomskom radu smo uveli pojam rekurzivne funkcije i to kada je kodomena skup prirodnih, cijelih, racionalnih i realnih brojeva. Promatrali smo svojstva istih i primijenili ih u sklopu metričkih i topoloških prostora te došli do definicije izračunljivog metričkog i izračunljivog topološkog prostora. U trećem dijelu rada smo se bazirali na definiranju i svojstvima izračunljivih i poluizračunljivih skupova te smo zaključno odredili dovoljne uvjete da za neki skup možemo reći da je izračunljiv.
Abstract (english)
In this thesis we introduced the notion of a recursive function in case when the codomain is the set of natural numbers, integers, rational and real numbers. We examined properties of these functions and we applied them in the context of metric and topological spaces. We defined computable metric spaces and computable topological spaces. In the third part of the thesis we defined and studied properties of computable and semi-computable sets and we found sufficient conditions for some set to be computable.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:207002
Study programmeTitle: Mathematics and Computer Science Education; specializations in: Mathematics and Computer Science Education
Course: Mathematics and Computer Science Education
Study programme type: university
Study level: 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 on2019-01-07 13:28:22