prikaz prve stranice dokumenta Izračunljivost realnih funkcija
  Download
PDF 273.22 KB
master's thesis
Izračunljivost realnih funkcija
Zagreb: University of Zagreb, Faculty of Science, 2022. urn:nbn:hr:217:622959
Staroverški, Petra
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Staroverški, P. (2022). Izračunljivost realnih funkcija (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:622959

Staroverški, Petra. "Izračunljivost realnih funkcija." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:622959

Staroverški, Petra. "Izračunljivost realnih funkcija." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:622959

Staroverški, P. (2022). 'Izračunljivost realnih funkcija', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:622959

Staroverški P. Izračunljivost realnih funkcija [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2022 [cited 2024 November 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:622959

P. Staroverški, "Izračunljivost realnih funkcija", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:217:622959

Metadata
TitleIzračunljivost realnih funkcija
Title (english)Computability of real functions
AuthorPetra Staroverški
MentorZvonko Iljazović (mentor)
Committee memberZvonko Iljazović (predsjednik povjerenstva)
Committee memberVedran Čačić (član povjerenstva)
Committee memberRudi Mrazović (član povjerenstva)
Committee memberGoranka Nogo (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2022-09-22, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu proučavali smo svojstva rekurzivnih funkcija. Tema je podijeljena na tri cjeline. U prvom poglavlju uveli smo pojmove inicijalnih i rekurzivnih funkcija te smo prikazali neka njihova osnovna svojstva. U drugom poglavlju definirali smo rekurzivne funkcije \(\mathbb{N}^k\rightarrow\mathbb{Z}\), \(\mathbb{N}^k\rightarrow\mathbb{Q}\) i \(\mathbb{N}^k\rightarrow\mathbb{R}\) te smo proučavali svojstva tih funkcija. Zatim smo uveli pojam izračunljivog broja i povukli analogiju s realnim rekurzivnim funkcijama. Treće poglavlje bavi se nizovno izračunljivim funkcijama, efektivnom uniformnom neprekidnošću te omeđenim i izračunljivim funkcijama.
Abstract (english)
In this master’s thesis we have studied properties of recursive functions. The topic is divided into three parts. In the first chapter, we have introduced the concepts of initial and recursive functions and presented some of their basic properties. In the second chapter, we defined the recursive functions \(\mathbb{N}^k\rightarrow\mathbb{Z}\), \(\mathbb{N}^k\rightarrow\mathbb{Q}\) and \(\mathbb{N}^k\rightarrow\mathbb{R}\)and studied their properties. Then we have introduced the notion of a computable number and drew an analogy with real recursive functions. The third chapter deals with sequentially computable functions, effective uniform continuity and bounded and computable functions.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:622959
Study programmeTitle: Computer Science and Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra računarstva i matematike (magistar/magistra računarstva i matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2022-11-08 12:08:56