prikaz prve stranice dokumenta Catalanov problem
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undergraduate thesis
Catalanov problem
Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing, 2014. urn:nbn:hr:168:408255
Sertić, Marko
University of Zagreb
Faculty of Electrical Engineering and Computing

Institutional repository: FER Repository

Cite this document

Sertić, M. (2014). Catalanov problem (Undergraduate thesis). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:408255

Sertić, Marko. "Catalanov problem." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2014. https://urn.nsk.hr/urn:nbn:hr:168:408255

Sertić, Marko. "Catalanov problem." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2014. https://urn.nsk.hr/urn:nbn:hr:168:408255

Sertić, M. (2014). 'Catalanov problem', Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 02 December 2024, https://urn.nsk.hr/urn:nbn:hr:168:408255

Sertić M. Catalanov problem [Undergraduate thesis]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2014 [cited 2024 December 02] Available at: https://urn.nsk.hr/urn:nbn:hr:168:408255

M. Sertić, "Catalanov problem", Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2014. Available at: https://urn.nsk.hr/urn:nbn:hr:168:408255

Metadata
TitleCatalanov problem
Title (english)Catalan problem
AuthorMarko Sertić
MentorAndrea Aglić-Aljinović (mentor)
Committee memberAndrea Aglić Aljinović (predsjednik povjerenstva)
Committee memberMario Krnić (član povjerenstva)
Committee memberAna Žgaljić Keko (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Electrical Engineering and Computing
Zagreb
Defense date and country2014-07-14, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Computing
Abstract
Ovaj rad bavi se analizom Catalanovog problema i Catalanovih brojeva. Na samom početku rada dana je definicija Catalanovog problema. Zatim je pokazan izvod funkcije izvodnice n-tog Catalanovog broja kao i izvod eksplicitne vrijednosti n-tog Catalanovog broja. Također je u radu opisano i asimptotsko ponašanje Catalanovih brojeva, te su navedena određena svojstva Catalanovih brojeva. U nastavku su također navedena i neka od kombinatornih interpretacija Catalanovih brojeva. Osim samog opisa interpretacija, dan je i matematički dokaz koji potvrđuje da su rješenja svih interpretacija Catalanovi brojevi. Za kraj samog rada obrađena je i programska interpretacija Catalanovih brojeva. Dani su algoritmi rješavanja određenih problema, kao i uputstva za korištenje aplikacije.
Abstract (english)
This work deals with the problems and analysis of Catalan numbers. The definition of Catalan problem is defined at the very beginning of this document. A mathematical proof of generating functions of n-th Catalan number as well as the extract of the explicit value of the n-th Catalan number is given. The asymptotic behavior of Catalan numbers is also described, and certain properties of them are given. The combinatorial interpretation of Catalan numbers is also listed at the following. Beside the description of interpretations, the mathematical proof that confirms the solutions of all interpretation are Catalan numbers, is given too. The work treated and programatic interpetated Catalan numbers in the end. Algorithms that solve certain problems as well as the instructions for using the application are shown and presented
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:168:408255
Study programmeTitle: Computing
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva)
Type of resourceText
File originBorn digital
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Created on2018-02-05 17:54:17