prikaz prve stranice dokumenta Catalanovi brojevi
  Download
PDF 685.5 KB
master's thesis
Catalanovi brojevi
2017. urn:nbn:hr:126:370743
Mijić, Mario
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

Cite this document

Mijić, M. (2017). Catalanovi brojevi (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:370743

Mijić, Mario. "Catalanovi brojevi." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:370743

Mijić, Mario. "Catalanovi brojevi." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:370743

Mijić, M. (2017). 'Catalanovi brojevi', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 16 February 2025, https://urn.nsk.hr/urn:nbn:hr:126:370743

Mijić M. Catalanovi brojevi [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2025 February 16] Available at: https://urn.nsk.hr/urn:nbn:hr:126:370743

M. Mijić, "Catalanovi brojevi", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:370743

Please login to the repository to save this object to your list.
Metadata
TitleCatalanovi brojevi
Title (english)Catalan numbers
AuthorMario Mijić
MentorIvan Matić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2017-11, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Discrete and Combinatorial Mathematics
Abstract
U današnje vrijeme su nizovi brojeva od posebnog interesa jer se pojavljuju u mnogim matematičkim problemima. U ovom radu smo promatrali i analizirali niz koji se zove niz Catalanovih brojeva. Catalanovi brojevi pojavljuju se u mnogim kombinatornim prebrojavanjima, kao što su kombinatorna prebrojavanja s konveksnim n-terokutom, binarnim stablima i sl. Također smo u radu opisali i nastojali objasniti neka od poznatijih kombinatornih prebrojavanje, gdje se Catalanovi brojevi pojavljuju kao rješenje. Izveli smo i njihovu funkciju izvodnicu, s kojom smo dobili formulu za računanje općeg člana niza.
Abstract (english)
In today times sequences make a interesting data structure because they appear in many mathematical problems. In this paper we have looked at and analyzed s number sequence called Catalan numbers. Catalan numbers appear in many combinatorial counts such like combinatorial counts in a convex polygon, binary trees, etc. Also we have described and tried to explain some of the more famous combinatorial counts in which Catalan numbers appear as the solution. We also calculated the generating function, with which we got the formula for calculating the general number of the sequence.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:370743
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2017-11-07 07:37:15