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Master's thesis Open access

Perturbation Theory for the Symetric Eigenvalue Problem

Sočivica, Sanja

2026-10-30

This thesis studies perturbation theory for the real symmetric eigenvalue problem. After a short motivation based on the nonsymmetric problem, the linear-algebra results needed later are introduced: the spectral theorem, congruence and inertia, Sylve…

Josip Juraj Strossmayer University of Osijek School of Applied Mathematics and Informatics, University of Osijek

Repository of School of Applied Mathematics and Informatics

simetrična matrica svojstvena vrijednost svojstveni vektor perturbacijska teorija Weylov teorem spektralni razmak Rayleighov kvocijent rezidual relativna perturbacija symmetric matrix eigenvalue eigenvector perturbation theory Weyl's theorem spectral gap Rayleigh quotient residual relative perturbation

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Master's thesis Open access

Algebraic Inequalities and Mathematical Induction on Mathematical Competition

Širanović, Ana

2026-10-30

In this master's thesis, we examine the application of mathematical induction, algebraic inequalities, and the discriminant of a quadratic equation as well as the absolute value function in solving non-routine mathematics competition problems. The th…

Josip Juraj Strossmayer University of Osijek School of Applied Mathematics and Informatics, University of Osijek

Repository of School of Applied Mathematics and Informatics

matematička indukcija algebarske nejednakosti Cauchy-Schwarzova nejednakost diskriminanta apsolutna vrijednost matematička natjecanja mathematical induction algebraic inequalities Cauchy-Schwarz inequality discriminant absolute value mathematics competitions

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Master's thesis Open access

A Methodological Approach to Teaching Quadratic Functions in Mathematics

Šeremet, Marija

2026-10-30

This master's thesis focuses on teaching quadratic functions in secondary school mathematicseducation, with aparticular emphasis on developing conceptual understanding. The thesis analyzes the theoretical foundations of the function concept and the p…

Josip Juraj Strossmayer University of Osijek School of Applied Mathematics and Informatics, University of Osijek

Repository of School of Applied Mathematics and Informatics

kvadratnafunkcija konceptualnorazumijevanje srednjoškolskanastavamatematike GeoGebra transformacije grafa miskoncepcije quadratic function conceptual understanding secondary school mathematics education GeoGebra graph transformations misconceptions

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Master's thesis Open access

Interval Matrices

Prljević, Ema

2026-10-30

This thesis gives a systematic overview of the theory of interval matrices- matrices whose elements are intervals of real numbers rather than point valueswith an emphasis on their application to solving systems of linear equations with uncertain (int…

Josip Juraj Strossmayer University of Osijek School of Applied Mathematics and Informatics, University of Osijek

Repository of School of Applied Mathematics and Informatics

intervalna matrica intervalna aritmetika problem ovisnosti sustav linearnih jednadžbi Krawczykova metoda Gauss-Seidelova metoda INTLAB interval matrix interval arithmetic dependency problem system of linear equations Krawczyk method Gauss-Seidel method INTLAB

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Master's thesis Open access

Naive Bayes in Credit Scoring

Novoselec, Hana

2026-10-30

This thesis presents the application of the Naive Bayes classifier in credit scoring. The theoretical part introduces the basic concepts of probability, Bayes' theorem, the conditional independence assumption, and the construction of the Naive Bayes …

Josip Juraj Strossmayer University of Osijek School of Applied Mathematics and Informatics, University of Osijek

Repository of School of Applied Mathematics and Informatics

naivni Bayesov klasifikator kreditno skoriranje Bayesov teorem uvjetna nezavisnost klasifikacija unakrsna validacija Naive Bayes classifier credit scoring Bayes' theorem conditional independence classification cross-validation

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Master's thesis Open access

Elementary Methods for Solving Diophantine Equations

Karajko, Stjepan

2026-10-30

In this paper, we study Diophantine equations and the elementary methods used to solve them. After a brief introduction to the concept of a Diophantine equation and integer solutions, we discuss the factoring method, the method of inequalities, the p…

Josip Juraj Strossmayer University of Osijek School of Applied Mathematics and Informatics, University of Osijek

Repository of School of Applied Mathematics and Informatics

teorija brojeva diofantska jednadžba cjelobrojno rješenje faktorizacija nejednakost parametar modulo metoda matematičke indukcije number theory Diophantine equation integer solution factorization inequality parameter modulo method of mathematical induction

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Master's thesis Open access

Query2box: Reasoning Over Knowledge Graphs in Vector Space Using Box Embeddings

Kristić, Marija

2026-10-29

The aim of this thesis is to describe the development of a system for answering logical queries over a knowledge graph with Croatian entities, built using data retrieved from Wikidata. The data are stored in the form of RDF triples, and the supported…

Josip Juraj Strossmayer University of Osijek School of Applied Mathematics and Informatics, University of Osijek

Repository of School of Applied Mathematics and Informatics

graf znanja RDF Query2box strojno učenje logički upiti knowledge graph RDF Query2box machine learning logical queries

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Master's thesis Open access

Digital and Printed Textbooks in Mathematics Education: Content Analysis and Frequency of Use

Pivašević, Nikolina

2026-10-23

This thesis examines the role of printed and digital textbooks in mathematics education. The theoretical part of the thesis discusses the role of teaching materials and textbooks in the educational process and describes the changes in mathematics edu…

Josip Juraj Strossmayer University of Osijek School of Applied Mathematics and Informatics, University of Osijek

Repository of School of Applied Mathematics and Informatics

nastava matematike udžbenik digitalni udžbenik kurikularna reforma mathematics education textbook digital textbook curricular reform

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Master's thesis Open access

A Methodological Approach to Teaching Integers

Panenić, Lorana

2026-10-23

The set of integers is one of the fundamental topics taught in primary school mathematics. Introducing integers requires students to extend their previously acquired understanding of mathematical concepts and operations. Theaimofthisthesis is to pres…

Josip Juraj Strossmayer University of Osijek School of Applied Mathematics and Informatics, University of Osijek

Repository of School of Applied Mathematics and Informatics

cijeli brojevi metodički pristup računske operacije nastavne aktivnosti matematički modeli brojevni pravac pozitivni i negativni žetoni integers methodological approach arithmetic operations classroom activities mathematical models number line positive and negative counters

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Master's thesis Open access

Integration of an ERP System with the Croatian Court Register Using Microsoft Dynamics 365 Business Central

Osmanović, Dorotea

2026-10-21

This thesis presents the integration of the Microsoft Dynamics 365 Business Central ERP system with the Croatian Court Register. The aim of the implemented solution is to enable the retrieval of official company data based on the OIB and its controll…

Josip Juraj Strossmayer University of Osijek School of Applied Mathematics and Informatics, University of Osijek

Repository of School of Applied Mathematics and Informatics

ERP Microsoft Dynamics 365 Business Central AL Sudski registar REST API integracija ERP MicrosoftDynamics365BusinessCentral AL CroatianCourtRegister REST API integration

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Repository of School of Applied Mathematics and Informatics

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