Digitalni repozitorij Prirodoslovno-matematičkog fakulteta u Splitu

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The role of mathematics in advanced electrical engineering courses: a typical case of numerical integration

Milin-Šipuš, Željka Bašić, Matija Pleština, Jelena

2025

This study, framed within the Anthropological Theory of the Didactic, explores the role of mathematics in advanced courses for electrical engineers. It examines the connection between mathematics and advanced electrical engineering courses through in…

Sveučilište u Splitu Sveučilište u Splitu, Prirodoslovno-matematički fakultet Odjel za matematiku

Sveučilište u Zagrebu Sveučilište u Zagrebu Prirodoslovno-matematički fakultet Matematički odsjek

Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14).

Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14) 2025

ISBN979-1-2210-8655-3

Digitalni repozitorij Prirodoslovno-matematičkog fakulteta u Splitu

Mathematics for engineers Numerical integration Anthropological theory of the didactic Didactic transposition.

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Polynomials-Unifying or Fragmenting High School Mathematics?

Pleština, Jelena Milin-Šipuš, Željka Bašić, Matija

2025-07-03

This paper presents research on the origin, scope, evolution, and rationale of knowledge about polynomials in high school mathematics. Within the framework of the Anthropological Theory of the Didactic, Croatian high school curricula and textbooks we…

Sveučilište u Splitu Sveučilište u Splitu, Prirodoslovno-matematički fakultet Odjel za matematiku

Sveučilište u Zagrebu Sveučilište u Zagrebu Prirodoslovno-matematički fakultet Matematički odsjek

Education Sciences Vol. 15, Br. 7, str. 1–27

DOI10.3390/educsci15070854 eISSN2227-7102

Digitalni repozitorij Prirodoslovno-matematičkog fakulteta u Splitu

polynomials high school mathematics Anthropological Theory of the Didactic (ATD) curriculum textbooks analysis

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Some results on the maximal safety distance in a graph

Erceg, Goran Šubašić, Aljoša Vojković, Tanja

2023

The work in this paper is motivated by I. Banič and A. Taranenko's recent paper, where they introduced a new notion, the span of a graph. Their goal was to solve the problem of keeping the safety distance while two players are moving through a graph …

Sveučilište u Splitu Sveučilište u Splitu, Prirodoslovno-matematički fakultet Odjel za matematiku

Filomat Vol. 37, Br. 15, str. 5123–5136

DOI10.2298/fil2315123e eISSN2406-0933 pISSN0354-5180

Digitalni repozitorij Prirodoslovno-matematičkog fakulteta u Splitu

Safety distance Graph spans Strong span Direct span Cartesian span.

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Vertex Spans of Multilayered Cycle and Path Graphs

Šubašić, Aljoša Vojković, Tanja

2024

In this paper, we observe a special class of graphs known as multilayered graphs and their subclasses, namely multilayered cycles and multilayered paths. These graphs model layouts of shopping malls, city street grids, and even resemble the topology …

Sveučilište u Splitu Sveučilište u Splitu, Prirodoslovno-matematički fakultet Odjel za matematiku

Axioms Vol. 13, Br. 4, str. 1–15

DOI10.3390/axioms13040236 eISSN2075-1680

Digitalni repozitorij Prirodoslovno-matematičkog fakulteta u Splitu

safety distance graph spans strong span direct span Cartesian span multilayered graph

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Development and Analysis of Models for Detection of Olive Trees

Marin, Ivana Gotovac, Sven Papić, Vladan

2023

In this paper, an automatic method for detection of olive trees in RGB images acquired by an unmanned aerial vehicle (UAV) is developed. Presented approach is based on the implementation of RetinaNet model and DeepForest Phyton package. Due to fact t…

Sveučilište u Splitu Sveučilište u Splitu, Fakultet elektrotehnike, strojarstva i brodogradnje

Sveučilište u Splitu Sveučilište u Splitu, Prirodoslovno-matematički fakultet Odjel za informatiku

Advances in science, technology and engineering systems journal Vol. 8, Br. 2, str. 87–96

DOI10.25046/aj080210 eISSN2415-6698

Digitalni repozitorij Prirodoslovno-matematičkog fakulteta u Splitu

Tree detection Olive tree Remote sensing Deep learning

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A Note on Finite Coarse Shape Groups

Jelić, Ivan Koceić Bilan, Nikola

2023-04-13

In this paper, we investigate properties concerning some recently introduced finite coarse shape invariants-the k-th finite coarse shape group of a pointed topological space and the k-th relative finite coarse shape group of a pointed topological pai…

Sveučilište u Splitu Sveučilište u Splitu, Prirodoslovno-matematički fakultet Odjel za matematiku

Axioms Vol. 12, Br. 4, str. 1–12

DOI10.3390/axioms12040377 eISSN2075-1680

Digitalni repozitorij Prirodoslovno-matematičkog fakulteta u Splitu

topological space inverse system pro-category pro*-category shape finite coarse shape coarse shape shape group polyhedron exactness

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The Finite Coarse Shape Paths

Jelić, Ivan Mirošević, Ivančica

2025-01-28

In this paper, we introduce the notions of finite coarse shape path and finite coarse shape path connectedness of a topological space. We prove that the solenoid Σ(pn), which is known to be coarse shape path connected but not shape path connected, is…

Sveučilište u Splitu Sveučilište u Splitu, Fakultet elektrotehnike, strojarstva i brodogradnje Zavod za matematiku i fiziku

Sveučilište u Splitu Sveučilište u Splitu, Prirodoslovno-matematički fakultet Odjel za matematiku

Mathematics Vol. 13, Br. 3, str. 1–13

DOI10.3390/math13030439 eISSN2227-7390

Digitalni repozitorij Prirodoslovno-matematičkog fakulteta u Splitu

topological space inverse system pro⊛-category shape coarse shape finite coarse shape polyhedron connectedness finite coarse shape path solenoid

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The Effect of Latent Space Dimension on the Quality of Synthesized Human Face Images

Marin, Ivana Gotovac, Sven Russo, Mladen Božić-Štulić, Dunja

2021

In recent years Generative Adversarial Networks (GANs) have achieved remarkable results in the task of realistic image synthesis. Despite their continued success and advances, there still lacks a thorough understanding of how precisely GANs map rando…

Sveučilište u Splitu Sveučilište u Splitu, Fakultet elektrotehnike, strojarstva i brodogradnje

Sveučilište u Splitu Sveučilište u Splitu, Prirodoslovno-matematički fakultet Odjel za informatiku

Journal of communications software and systems Vol. 17, Br. 2, str. 124–133

DOI10.24138/jcomss-2021-0035 pISSN1845-6421

Digitalni repozitorij Prirodoslovno-matematičkog fakulteta u Splitu

Generative Adversarial Networks Latent space exploration Latent dimension Evaluation Frechet Inception Distance (FID) Image synthesis

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Deep-Feature-Based Approach to Marine Debris Classification

Marin, Ivana Mladenović, Saša Gotovac, Sven Zaharija, Goran

2021-06-18

The global community has recognized an increasing amount of pollutants entering oceans and other water bodies as a severe environmental, economic, and social issue. In addition to prevention, one of the key measures in addressing marine pollution is …

Sveučilište u Splitu Sveučilište u Splitu, Fakultet elektrotehnike, strojarstva i brodogradnje

Sveučilište u Splitu Sveučilište u Splitu, Prirodoslovno-matematički fakultet Odjel za informatiku

Applied sciences (Basel) Vol. 11, Br. 12, str. 1–25

DOI10.3390/app11125644 eISSN2076-3417

Digitalni repozitorij Prirodoslovno-matematičkog fakulteta u Splitu

deep learning marine litter classification feature vectors transfer learning computer vision

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On symplectic and isospectral integration of the stationary Landau-Lifshitz (Neumann oscillator) equation

Krešić-Jurić, Saša Martinić Bilać, Tea

2023-05-08

In this paper we discuss numerical integration of the stationary Landau-Lifshitz (LL) equation. Using a Lax pair representation of the LL equation, we propose an isospectral algorithm that preserves the geometric structure of the system. The algorith…

Sveučilište u Splitu Sveučilište u Splitu, Prirodoslovno-matematički fakultet Odjel za matematiku

Mathematical communications Vol. 28, Br. 1, str. 11–27

eISSN1848-8013 pISSN1331-0623

Digitalni repozitorij Prirodoslovno-matematičkog fakulteta u Splitu

Landau-Lifshitz equation Hamiltonian systems symplectic integration Lax pairs isospectral flows

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Digitalni repozitorij Prirodoslovno-matematičkog fakulteta u Splitu

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