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master's thesis
Catalanovi brojevi u trokutastim shemama
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:137724
Banjanin, Goran
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Banjanin, G. (2015). Catalanovi brojevi u trokutastim shemama (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:137724

Banjanin, Goran. "Catalanovi brojevi u trokutastim shemama." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:137724

Banjanin, Goran. "Catalanovi brojevi u trokutastim shemama." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:137724

Banjanin, G. (2015). 'Catalanovi brojevi u trokutastim shemama', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:137724

Banjanin G. Catalanovi brojevi u trokutastim shemama [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:137724

G. Banjanin, "Catalanovi brojevi u trokutastim shemama", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:137724

Metadata
TitleCatalanovi brojevi u trokutastim shemama
AuthorGoran Banjanin
MentorZrinka Franušić (mentor)
Committee memberZrinka Franušić (predsjednik povjerenstva)
Committee memberAndrej Dujella (član povjerenstva)
Committee memberFilip Najman (član povjerenstva)
Committee memberBoris Širola (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-09-24, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Usprkos činjenici da nisu jako poznati, Catalanovi se brojevi pojavljuju u različitim problemima, posebno kombinatornim. Na primjer, n-ti Catalonov broj, \(C_n\), predstavlja broj različitih triangulacija konveksnog n+2-terokuta. Kako većina formula za Catalanove brojeve uključuje binomne koeficijente, slijedi da se Catalanovi brojevi mogu izvući ili lako izračunati iz Pascalovog trokuta. Catalanovi brojevi mogu se shvatiti i kao specijalan slučaj trokutastog niza brojeva B(n, r) koji se naziva Catalanov trokut.
Abstract (english)
Despite the fact that the Catalan numbers are not well known, they occur in various problems, especially combinatorial ones. For example, the n-th Catalan number, \(C_n\), is the number of different ways a convex polygon with n+2 sides can be cut into triangles. Since most formulas for Catalan numbers involve binomial coefficients, Catalan numbers can be extracted or easily computed from Pascal’s triangle. Catalan numbers can be observed as a special case of a triangular array of numbers B(n, r) called Catalan triangle.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:137724
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 conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2017-05-11 12:29:40