# Anton VrdoljakUniversity of Mostar · Faculty of Civil Engineering

MSc

45
Publications
415,105
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64
Citations
Introduction
Anton Vrdoljak currently works at the Faculty of Civil Engineering, University of Mostar. Anton does research in Algorithms, Applied Mathematics, Educational Technology and Engineering. Anton's Academic Corner: https://antonvrdoljak.netlify.app/
Research Experience
January 2000 - present
University of Mostar
Position
• Research Associate
January 2000 - present
University of Mostar
Position
• Lecturer
Education
October 2006 - October 2009
Field of study
• Mathematics Education
October 1992 - March 1999
Field of study
• Mathematics and Physics Education

## Publications

Publications (45)
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Python recipe to compute the Date of Easter in the Gregorian/Western calendar based on a Gauss's computus algorithm implemented in the Wolfram Language 12.
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Sieve of Eratosthenes is a simple and ancient algorithm/procedure used to find the prime numbers up to any given limit. For a given upper limit n the algorithm works by iteratively marking the multiples of primes as composite, starting from 2. Once all multiples of 2 have been marked composite, the multiples of next prime, i.e. 3 are marked composi...
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Cilj ovog rada je prikazati utjecaj modeliranja koeficijenta reakcije podloge na jednostavan 3D okvir izložen horizontalnom simetričnom statičkom djelovanju. Budući da rad predstavlja nastavak istraživanja na ovu temu, radi jednostavnosti usvojeno je da je konstrukcija i u ovom slučaju također izvedena na kvadratnim temeljima na granuliranom tlu. R...
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The aim of this paper is to show the influence of the subgrade reaction coefficient modelling on the simple 3D frame subjected to horizontal symmetrical static load. Since the work represents a continuation of the research on this topic, it was decided that the construction, in this case too, was built on the square foundations on granular soil. Di...
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Python recipe to check for lucky number (less than 1 000 000). Q: What is lucky number? A: Write out all odd numbers: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, .... The first odd number >1 is 3, so strike out every third number from the list: 1, 3, 7, 9, 13, 15, 19, .... The first odd number greater than 3 in the list is 7, so strike out every seventh nu...
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Glass structures have been increasingly utilised in modern constructions for decades with load-bearing walls or facades as the most common elements. This trend can be also observed in the development of structural systems, production facilities and processing methods for glass. The article is an introduction to the topic of glass used structurally....
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Konstrukcije od stakla se već desetljećima sve više koriste u modernim konstrukcijama, a najčešći elementi su noseći zidovi ili fasade. Taj se trend može primijetiti i u razvoju konstruktivnih sustava, proizvodnih pogona i metoda obrade stakla. Članak je zamišljen kao uvod u temu stakla kao nosivog elementa. Navode se osnovna svojstva materijala i...
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Conference Paper
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The aim of the paper, as of the previous research continuity, is to show the effects of the subgrade reaction coefficient modelling on the aluminium base grid structure and foundations. That kind of structure is more frequently used for the objects built on the faraway locations because of the small self-weight and small surrounding ground impact....
Conference Paper
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During the structural construction on the distant locations, it is necessary to make the foundation with as little ground impact as possible. One of the usual choices is the wood grid construction on the shallow concrete foundations. To define the connection between the soil and foundation, it is necessary to find out the subgrade reaction coeffici...
Conference Paper
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Computer-based learning has been widely used in engineering education and a large number of research, studies and reports, regarding its usage and effectiveness have been accessed broadly. The software solution, known as CARBONARA (Computer Aided Research Boosts Optimization, Numerical and Regression Analysis), which covers a few branches of mathem...
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Animated Flag of Bosnia and Herzegovina (B&H) made by Python programming language & GifCam app.
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Animated Logo of the University of Mostar (SUM) made by Python programming language & GifCam app.
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Python recipe to split text file (*.txt or *.csv) of any size into multiple chunks.
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Sažetak: U ovom radu prikazan je kraći osvrt na fraktale, te neke moguće primjene fraktalne geometrije u arhitekturi i građevinarstvu. Zanimanje za ovom matematičkom disciplinom je u neprekidnom rastu još od kraja 20. stoljeća, kako zbog same očaravajuće ljepote fraktala, tako i zbog općeprihvaćene spoznaje da je dosta oblika u prirodi, ako ne i sv...
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This paper presents a brief overview of fractals and some possible applications of fractal geometry in architecture and civil engineering. The interest in this mathematical discipline has been steadily growing since the end of the 20 th century, due to the fascinating beauty of fractals as well as the generally accepted perception that many shapes...
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An Euler brick is a cuboid that possesses integer edges a>b>c and face diagonals. If the space diagonal is also an integer, the Euler brick is called a perfect cuboid, although no examples of perfect cuboids are currently known.
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The paper presents the influence of the soil reaction coefficient modeling on the 2D frame be-havior. The foundations are square and the ground is granular. Different authors perform dif-ferent expressions for values of the soil reaction coefficient. So, for each of these coefficients, a 2D frame was calculated using the Tower 3D Model Builder prog...
Conference Paper
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The software solution, that allowing users, students and engineers, to easily determine the values of the soil reaction coefficient (the coefficient of subgrade reaction) and buckling coefficient, has been developed. These are four modules within SE_Calc software, two have been implemented in the object-oriented programming language C#, within Micr...
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When performing the objects on the distant locations, it is necessary to make the foundation structure with as little ground impact as possible. One of the usual choices is the rigid steel grid construction on the shallow foundations. Many authors worked on the problem of defining calculation expression for the soil reaction coefficient, which repr...
Conference Paper
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The aim of the paper is to show the effects of modelling the soil reaction coefficient on the base grid structure and their foundation. That kind of the structure is commonly used for the objects built on the far away locations because of the little environmental ground impact. Basically, the shallow foundation system is supporting grid constructio...
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Zbog svojih specifičnosti obnova zidanih objekata od kamena na području Hercegovine je rađena od strane manjeg broja građevinskih firmi. Razlog tome se prvenstveno ogleda u malom broj stručne radne snage i dostupnosti specifičnih alata. Jedna od firmi koja se posebno istaknula u ovom području je firma DZG „Građevinar Fajić“ d.o.o. sa sjedištem u Mo...
Conference Paper
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For the numerical modeling of the structure it is necessary to know the characteristics of soil under the foundations, so that it can be simulated by the Winkler spring model. Five groups of authors give different expressions for the soil reaction coefficient. In this paper it will be presented the influence of that different coefficients on the si...
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In numerical modeling of structures, it is necessary to model the soil on which the structures rest. This soil simulation is performed through the Winkler springs model. In the simplest case of shallow foundations, this is done through the coefficient of soil reaction. Since a large number of authors have dealt with this topic, for the needs of a m...
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Pri numeričkom modeliranju konstruktivnih sustava potrebno je simulirati i tlo na koje se taj sustav oslanja. Obično se simulacija tla izvodi putem modela Winklerovih opruga. U najjednostavnijem slučaju plitkih temelja krutost opruga se zadaje preko koeficijenta reakcije tla. S obzirom kako se veliki broj autora bavio ovom tematikom za potrebe pouz...
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ORCID (https://orcid.org/) provides a persistent digital identifier (an ORCID iD) that distinguishes you from every other researcher and, through integration in key research workflows such as manuscript and grant submission, supports automated linkages between you and your professional activities ensuring that your work is recognized. A QR Code is...
Conference Paper
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The aim of this paper is to present the influence of the subgrade reaction coefficient modelling on the simple 3D frame. For simplicity, it was assumed that the construction was made on the square foundations on granular soil. The soil reaction coefficient is modelled by different expressions drawn by different authors. For this reason different va...
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U radu je dan osvrt na programsko rješavanje problema vezanog za particioniranje grafa G = (V, E). Budući je to problem koji pripada klasi NP–teških problema odabrane su strategije iz domene heuristike za njegovo rješavanje. U tu svrhu napravljen je programski modul u softverskom paketu Microsoft Visual Studio 2015. Implementirani modul programski...
Conference Paper
The implementation of various discrete mathematics methods, especially graphs, complex network theory, and the data mining methods, play an important role in solving NP–difficult problems in the field of combinatorial optimization. Previous research has shown that these issues are greatly influenced by study of the importance of a single vertex wit...
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Za kvalitetan proračun i pouzdano izvođenje temelja objekta potrebno je, između ostalog, riješiti interakciju objekta, temelja i tla tijekom svih faza izgradnje. Mehaničke osobine tla su vrlo složene i rješenje problema interakcije temeljnog tla sa elementima konstrukcije zahtjeva određena pojednostavljenja bez kojih bi problem bio nerješiv ili eko...
Chapter
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This paper provides an analysis of settlement of foundation plates using finite difference method, and is designed in the aim to prove how this method, implemented in our Matlab program code, will give results similar to those obtained with the finite element method, and to show that plate' settlements are less dependent on the change of modulus of...
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In this article we will give a small introduction to the discrete mathematics and its application in network analysis. Because of limitations regarding this article (extended summary) and because we are aware that the scientific study of networks, such as computer networks, biological networks, and social networks, is an interdisciplinary field tha...
Book
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Ovaj zbornik sažetaka „Zajedničkih temelja“ nastao je iz priopćenja pripremljenih za Treći skup mladih istraživača iz područja građevinarstva i srodnih tehničkih znanosti – ZAJEDNIČKI TEMELJI 2015., održanom na Građevinskom fakultetu u Mostaru, od 23. do 25. rujna 2015. godine, u organizaciji Udruge hrvatskih građevinskih fakulteta i Građevinskog f...
Conference Paper
A new and advanced visualization for polynomial regression data fit is presented. The visualization based on Flash – an advanced multimedia authoring and development environment for creating animations and interactive applications inside Web pages – will present a model for better understanding of curve fitting. This model ensures to engineering st...
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Recently, in many domains, there is the significant use of computers and multi–agent systems (MAS) to support learning. At the same time, although the majority of today's systems for e–learning are performed on computers and make the implementation of intelligent agents as essential part of the process of teaching and learning, these systems are no...
Conference Paper
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Danas je dobro poznato da su multimedia (multimedijalne informacije) sveprisutne i često zahtevane, ako ne i neophodne, u mnogim aplikacijama. S druge strane, data mining je takođe raznolika, interdisciplinarna i transdisciplinarna istraživačka oblast, koja je originalno započela sa otkrivanjem znanja u bazama podataka, ali je danas napredovalo mno...
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The paper analyzes the educational-research project based on the preferabilities of the teaching process and learning mathematics using ICT tools, which focuses on the teaching of complex numbers and interactive geometry. Some examples of analysis of the motivation and impact of ICT already exist within the wider literature concerning the education...
Thesis
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This thesis analyzes an educational research project based on the advantage of learning and teaching with ICT–tools, focusing on teaching of complex numbers and interactive geometry. Some examples of motivational impacts of ICT existed already within a wide literature on educational uses and outcomes of ICT in classrooms, as well as out of school s...
Conference Paper
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The objective of this paper is to report my educational research project based on the advantage of learning and teaching with ICT, focusing on teaching of complex numbers. Some examples of motivational impacts of ICT existed already within a wide literature on educational uses and outcomes of ICT in classrooms, as well as out of school settings. Th...
Conference Paper
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Nastava geometrije u školama jedno je od „najplodnijih“ područja za uporabu digitalnih alata, koje bi koristili nastavnici i učenici kako bi, prvenstveno interaktivno, istražili i vizualizirali geometrijske koncepte te konstruirali geometrijske i znanstvene modele. U današnje vrijeme svjesni smo postojanja velikog broja izvrsnih digitalnih alata, o...
Conference Paper
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Beginning with the functionality to provide resources, one of the most immediately obvious strengths of learning portals in a converging environment is the educational potential to provide immediately up–to–date resources to large number of learners easily and relatively cheaply (whether one is using the Web or e–mail technologies). In the last sev...
Conference Paper
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In the last several years, e–Learning has become very popular, and today there exists a rich offer of learning contents on the Web, for almost all subjects (areas) in various languages, primarily thanks to the rapid evolution of information and communication technologies (ICT). The idea, which led to this paper, is aimed in the direction to present...
Conference Paper
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The objective of this paper is to report our developed contents, focusing on complex number contents of "lnteractive Lessons", based on the advantage of learning with ICT, as well as improvement of student's activities.

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