• Analiza efekata primene GEOGEBRA-e na praćenje nastave geometrije 

      Maksimović, Miroslav; Kontrec, Nataša; Panić, Stefan; Petrović, Milena
      Istraživanja su pokazala da uprkos brojnim prednostima primene savremenih tehnologija u nastavi matematike sam proces uvođenja istih u učionice je spor i dosta složen. Upravo iz tih razloga, ovaj rad istražuje mogućnosti ...
    • Analysis of ecological territorial risk by methods of multidimensional statistics 

      Taseiko, Olga; Milošević, Hranislav; Vujaković, Jelena; Kontrec, Nataša; Panić, Stefan
      В работе рассмотрены водные экосистемы как элементы единой социально природно-техногенной системы, предлагаемой для решения задач управления развитием промышленных территорий. Для оценки территориальных рисков водных ...
    • Complex homogeneous differential equation of first and second order through iterations 

      Vujaković, Jelena; Kontrec, Nataša; Panić, Stefan
      The theory of complex differential equations represents an important mathematical discipline both from the theoretical point of view and from numerous applications. Its development was equally encouraged by mathematicians, ...
    • Hybrid modification of accelerated double direction method 

      Petrović, Milena; Stanimirović, Predrag; Kontrec, Nataša; Mladenović, Julija (Hindawi, 2018-11-06)
      We present a hybridization of the accelerated gradient method with two vector directions. This hybridization is based on the usage of a chosen three-term hybrid model. Derived hybrid accelerated double direction model keeps ...
    • Hybridization of accelerated gradient descent method 

      Petrović, Milena; Rakočević, Vladimir; Kontrec, Nataša; Panić, Stefan; Ilić, Dejan
      We present a gradient descent algorithm with a line search procedure for solving unconstrained optimization problems which is defined as a result of applying Picard-Mann hybrid iterative process on accelerated gradient ...
    • Mathematical Approach for System Repair Rate Analysis Used in Maintenance Decision Making 

      Kontrec, Nataša; Panić, Stefan; Panić, Biljana; Marković, Aleksandar; Stošović, Dejan (MDPI, 2021-05-20)
      Reliability, the number of spare parts and repair time have a great impact on system availability. In this paper, we observed a repairable system comprised of several components. The aim was to determine the repair rate ...
    • Mathematical Modeling of Integral Characteristics of Repair Process under Maintenance Contracts 

      Kontrec, Nataša; Vujaković, Jelena; Tošić, Marina; Panić, Stefan; Panić, Biljana (MDPI, 2021-12-08)
      The repair rate is a very important parameter for system maintainability and can be defined as a frequency of successfully performed repair actions on a failed component per unit of time. This paper analyzes the integral ...
    • MAXIMUM RELIABILITY K-CENTER LOCATION PROBLEM 

      Kontrec, Nataša; Panić, Biljana; Tošić, Marina; Vujošević, Mirko (Union of Mathematicians of Macedonia - ARMAGANKA, 2020-10-31)
      This paper presents an approach for solving the maximum reliability k-center location problem. We are modifying the well-known p-center problem in order to determine the location of the observed objects and maximize the ...
    • New results on F-contractions in complete metric spaces 

      Vujaković, Jelena; Kontrec, Nataša; Tošić, Marina; Fabiano, Nicola; Radenović, Stojan (MDPI (Basel, Switzerland), 2021-12-21)
      The main purpose of this paper is to improve, generalize, unify, extend and enrich the recent results established by Dung and Hang (2015), Piri and Kumam (2014, 2016), and Singh et al. (2018). In our proofs, we only use ...
    • A Novel Approach for Determination of Reliability of Covering a Node from K Nodes 

      Panić, Biljana; Kontrec, Nataša; Vujošević, Mirko; Panić, Stefan (MDPI, 2020-09-05)
      In this paper, a stochastic problem of multicenter location on a graph was formulated through the modification of the existing p-center problem to determine the location of a given number of facilities, to maximize the ...
    • Novel Composite Approximation for the Gaussian Q-Function 

      Perić, Zoran; Marković, Aleksandar; Kontrec, Nataša; Panić, Stefan; Spalević, Petar (Kaunas University of Technology, 2020-10-27)
      This paper, by using Borjesson’s and Benitez’s approximation of Q-function, presents a novel and improved composite approximation of Q-function with wide applicability. The presented approach is very general and can be ...
    • Number of zero solutions of some canonical complex differential equations of second order with variable coefficient 

      Vujaković, Jelena; Jovanović, Tanja; Kontrec, Nataša
      By solving the frequency function equation only a small number of complex equations of the second order oscillations can be solved. The simplest way is to observe canonical complex differential equations with constant ...
    • The second mean value theorem for complex line integral 

      Vujaković, Jelena; Panić, Stefan; Kontrec, Nataša
      In real iterations, several types of mean value theorems for definite integrals are used. In complex domain, we cannot specifically formulate the mean value theorem of a particular complex line integral (L) ∫f(z)dz , since ...
    • A stochastic model for estimation of repair rate for system operating under performance based logistics 

      Kontrec, Nataša; Panić, Stefan; Petrović, Milena; Milošević, Hranislav (Polish Maintanace Society, 2018-09-01)
      Performance Based Logistics (PBL) concept has an aim to improve the system availability and it has been extensively researched in the recent years. These researches showed that inventory level does not impact system ...
    • System Maintenance Decision Making Based on Repair Rate Statistics 

      Kontrec, Nataša; Panić, Stefan; Petrović, Milena
      This paper presents a novel approach for estimation of repair rate in an observed system comprised of two or more components. The presented approach is based on calculation of probability density function of maximal and ...
    • Two Interval Upper-Bound Q-Function Approximations with Applications 

      Perić, Zoran; Marković, Aleksandar; Kontrec, Nataša; Nikolić, Jelena; Petković, Marko; Jovanović, Aleksandra (Mathematics and computer sciences, 2022-10-10)
      The Gaussian Q-function has considerable applications in numerous areas of science and engineering. However, the fact that a closed-form expression for this function does not exist encourages finding approximations or ...
    • USE OF GEOGEBRA IN THE STUDY OF ROTATIONS 

      Maksimović, Miroslav; Kontrec, Nataša; Panić, Stefan (Western Serbia Academy of Applied Studies, Užice (Serbia), 2021-10-08)
      With the development of information technologies and educational software, there was a need for research and examination of how and in what way to use them in teaching, without losing the quality of existing traditional ...
    • VISUALIZATION OF GEOMETRIC OBJECTS USING PROGRAM PACKAGE MATHEMATICA 

      Ljajko, Eugen; Najdanović, Marija; Maksimović, Miroslav; Kontrec, Nataša
      In geometry teaching, visualization is an indispensable method of work. Its importance is emphasized in the study of abstract theories when the human mind is not capable enough to perceive the regularities determined by ...