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undergraduate thesis
Latinski kvadrati
Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing, 2022. urn:nbn:hr:168:745910
Banić, Luka
University of Zagreb
Faculty of Electrical Engineering and Computing

Institutional repository: FER Repository

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Banić, L. (2022). Latinski kvadrati (Undergraduate thesis). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:745910

Banić, Luka. "Latinski kvadrati." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2022. https://urn.nsk.hr/urn:nbn:hr:168:745910

Banić, Luka. "Latinski kvadrati." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2022. https://urn.nsk.hr/urn:nbn:hr:168:745910

Banić, L. (2022). 'Latinski kvadrati', Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 19 December 2024, https://urn.nsk.hr/urn:nbn:hr:168:745910

Banić L. Latinski kvadrati [Undergraduate thesis]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2022 [cited 2024 December 19] Available at: https://urn.nsk.hr/urn:nbn:hr:168:745910

L. Banić, "Latinski kvadrati", Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:168:745910

Metadata
TitleLatinski kvadrati
Title (english)Latin Squares
AuthorLuka Banić
MentorAnamari Nakić (mentor)
Committee memberAnamari Nakić (predsjednik povjerenstva)
Committee memberMarina Furkes (član povjerenstva)
Committee memberFilip Martinović (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Electrical Engineering and Computing
Zagreb
Defense date and country2022-07-01, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Computing
Abstract
U ovome radu uvodi se matematički objekt latinskih kvadrata te odgovarajuća svojstva i problemi. Kratko se objašnjava njihova primjena kroz povijest te razvoj u znanost o latinskim kvadratima. Daje se pregled osnovnih svojstava latinskih kvadrata te uvode pojmovi transpozicije, transverzale, reduciranosti, konjugacije, idempotentnosti i ortogonalnosti latinskih kvadrata. Na temelju navedenih svojstava vrše se različite klasifikacije u odgovarajuće razrede latinskih kvadrata. Pobliže se opisuje pojam parcijalnih latinskihi kvadrata i kritičnih skupova te se uvodi problem njihove konstrukcije i klasifikacije. Na temelju znanja o svojstvima i konstrukciji latinskih kvadrata te odgovarajućih kritičnih skupova, korištenjem jezika HTML, CSS i JavaScript, izrađena je interaktivno-edukativna web-aplikacija za nadopunjavanje parcijalnih latinskih kvadrata.
Abstract (english)
In this thesis, the Latin sqaure and the corresponding properties and problems are introduced as mathematical objects. Their application throughout history and the development into a science of latin squares is briefly explained. An overview of the basic properties of Latin squares is given and the concepts of transposition, transversal, reduction, conjugation, idempotence and orthogonality of latin squares are introduced. Based on the aformentioned properties, different classifications to the corresponding classes of latin squares are presented. The notion of partial latin squares and critical sets is described in more detail and the problem of their construction and classification is introduced. Based on knowledge of the properties and constructions of Latin squares and the corresponding critical sets, using the languages HTML, CSS and JavaScript, an interactive-educational web application for completing partial Latin squares is created.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:168:745910
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 on2023-01-15 09:44:09