Претрага
18 items
-
An alternative to Mahler Measure of polynomials
Dragan Stankov (2024)We introduce the ratio of the number of roots of a polynomial Pd, greater than one in modulus, to its degree d as an alternative to Mahler measure. We investigate some properties of the limit ratio. We generalise this definition for a two variable polynomial P(x,y) using the Cauchy’s argument principle. We present an algorithm for calculating the limit ratio and a numerical method for its approximation. We estimated the limit ratio for some families of polynomials. Some examples ...Dragan Stankov. "An alternative to Mahler Measure of polynomials" in The book of abstracts XV serbian mathematical congress, Belgrade, Serbia, june, 19–22, 2024, Univerzitet u Beogradu, Matematički fakultet (2024) М34
-
The alternative to Mahler measure of polynomials in several variables
Dragan Stankov (2024)We introduce the ratio of the number of roots of a polynomial Pd, greater than one in modulus, to its degree d as an alternative to Mahler measure. We investigate some properties of the alternative. We generalise this definition for a polynomial in several variables using Cauchy’s argument principle. If a polynomial in two variables do not vanish on the torus we prove the theorem for the alternative which is analogous to the Boyd-Lawton limit formula for Mahler measure. ...Dragan Stankov. "The alternative to Mahler measure of polynomials in several variables" in The book of abstracts XIV symposium "mathematics and applications” Belgrade, Serbia, December, 6–7, 2024 , Univerzitet u Beogradu, Matematički fakultet (2024) М64
-
The Reciprocal Algebraic Integers Having Small House
Dragan Stankov (2021)Algebraic integer, the house of algebraic integer, maximal modulus, reciprocal polynomial, primitive polynomial, Schinzel-Zassenhaus conjecture, Mahler measure, method of least squares, cyclotomic polynomialsDragan Stankov. "The Reciprocal Algebraic Integers Having Small House" in Experimental Mathematics (2021). https://doi.org/ 10.1080/10586458.2021.1982425 М22
-
The number of unimodular roots of some reciprocal polynomials
Dragan Stankov (2020)We introduce a sequence P2n of monic reciprocal polynomials with integer coefficients having the central coefficients fixed. We prove that the ratio between number of nonunimodular roots of P2n and its degree d has a limit when d tends to infinity. We present an algorithm for calculation the limit and a numerical method for its approximation. If P2n is the sum of a fixed number of monomials we determine the central coefficients such that the ratio has the minimal limit. ...Algebraic integer, the house of algebraic integer, maximal modulus, reciprocal polynomial, primitive polynomial, Schinzel-Zassenhaus conjecture, Mahler measure, method of least squares, cyclotomic polynomialsDragan Stankov. "The number of unimodular roots of some reciprocal polynomials" in Cmptes rendus mathematique (2020). https://doi.org/10.5802/crmath.28 М23
-
The number of nonunimodular roots of a reciprocal polynomial
Dragan Stankov (2023)We introduce a sequence Pd of monic reciprocal polynomials with integer coefficients having the central coefficients fixed as well as the peripheral coefficients. We prove that the ratio of the number of nonunimodular roots of Pd to its degree d has a limit L when d tends to infinity. We show that if the coefficients of a polynomial can be arbitrarily large in modulus then L can be arbitrarily close to 0. It seems reasonable to believe that if ...Algebraic integer, the house of algebraic integer, maximal modulus, reciprocal polynomial, primitive polynomial, Schinzel-Zassenhaus conjecture, Mahler measure, method of least squares, cyclotomic polynomialsDragan Stankov. "The number of nonunimodular roots of a reciprocal polynomial" in Comptes rendus mathematique, Elsevier France Editions Scientifiques et Medicales (2023). https://doi.org/10.5802/crmath.422 М23
-
On the distribution modulo 1 of the sum of powers of a Salem number
Dragan Stankov (2016)It is well known that the sequence of powers of a Salem number θ, modulo 1, is dense in the unit interval, but is not uniformly distributed. Generalizing a result of Dupain, we determine, explicitly, the repartition function of the sequence , where P is a polynomial with integer coefficients and θ is quartic. Also, we consider some examples to illustrate the method of determination.Algebraic integer, the house of algebraic integer, maximal modulus, reciprocal polynomial, primitive polynomial, Schinzel-Zassenhaus conjecture, Mahler measure, method of least squares, cyclotomic polynomialsDragan Stankov. "On the distribution modulo 1 of the sum of powers of a Salem number" in Comptes rendus Mathematique (2016). https://doi.org/10.1016/j.crma.2016.03.012 М23
-
A necessary and sufficient condition for an algebraic integer to be a Salem number
Dragan Stankov (2019)We present a necessary and sufficient condition for a root greater than unity of a monic reciprocal polynomial of an even degree at least four, with integer coefficients, to be a Salem number. This condition requires that the minimal polynomial of some power of the algebraic integer has a linear coefficient that is relatively large. We also determine the probability that an arbitrary power of a Salem number, of certain small degrees, satisfies this condition.Algebraic integer, the house of algebraic integer, maximal modulus, reciprocal polynomial, primitive polynomial, Schinzel-Zassenhaus conjecture, Mahler measure, method of least squares, cyclotomic polynomialsDragan Stankov. "A necessary and sufficient condition for an algebraic integer to be a Salem number" in Journal de theorie des nombres de Bordeaux (2019). https://doi.org/10.5802/jtnb.1076 М23
-
Approximation of the number of roots that do not lie on the unit circle of a self-reciprocal polynomial
Dragan Stankov (2024)We introduce the ratio of the number of roots not equal to 1 in modulus of a reciprocal polynomial Rd(x) to its degree d. For some sequences of reciprocal polynomials we show that the ratio has a limit L when d tends to infinity. Each of these sequences is defined using a two variable polynomial P(x,y) so that Rd(x) = P(x,xn). For P(x,y) we present the theorem for the limit ratio which is analogous to the Boyd-Lawton limit formula ...Dragan Stankov. "Approximation of the number of roots that do not lie on the unit circle of a self-reciprocal polynomial" in The book of abstracts XIV symposium "mathematics and applications” Belgrade, Serbia, December, 6–7, 2024 , Univerzitet u Beogradu, Matematički fakultet (2024) М64
-
Indexing of textual databases based on lexical resources: A case study for Serbian
In this paper we describe an approach to improvement of information retrieval results for large textual databases by pre-indexing documents using bag-of-words and Named Entity Recognition. The approach was applied on a database of geological projects financed by the Republic of Serbia in the last half century. Each document within this database is described by metadata, consisting of several fields such as title, domain, keywords, abstract, geographical location and the like. A bag of words was produced from these ...Ranka Stanković, Cvetana Krstev, Ivan Obradović, Olivera Kitanović. "Indexing of textual databases based on lexical resources: A case study for Serbian" in Semantic Keyword-based Search on Structured Data Sources : First COST Action IC1302 International KEYSTONE Conference, IKC 2015, Coimbra, Portugal, September 8-9, 2015. Revised Selected Papers, Springer (2015). https://doi.org/10.1007/978-3-319-27932-9_15 M13
-
Semantic Textual Similarity of Courses Based on Text Embeddings
This paper explores the application of textual embeddings to measure semantic similarity between educational courses’ curriculums, aiming to enhance the effectiveness of the next faculty accreditation. Leveraging state-of-the-art natural language processing techniques, we employ pre-trained embeddings to capture the semantic meaning of course descriptions. Our methodology involves transforming course curriculum texts into high-dimensional vector representations, enabling efficient and meaningful comparisons. We evaluate the proposed approach on a diverse dataset of course descriptions, employing established benchmarks for semantic textual similarity ...Olivera Kitanović, Aleksandra Tomašević, Mihailo Škorić, Ranka Stanković, Ljiljana Kolonja. "Semantic Textual Similarity of Courses Based on Text Embeddings" in Lecture Notes in Networks and Systems, Springer Nature Switzerland (2024). https://doi.org/10.1007/978-3-031-71419-1_27 М33
-
Protective channels to prevent a potential rockfall during blasting
Miljan Gomilanović, Stefan Milanović, Nikola Stanić, Miloš Živanović, Saša Stepanović, Aleksandar Doderović, Tanja Stanković (2024)Drilling and blasting at the Open Pit North Mining District takes place in the complex geological and urban environment conditions. The proximity of the city requires the performance of mining works with application the numerous and strict protection measures against the negative impact of mining. This paper presents a protection measure against the possible movement of loose pieces of rock that may occur as a result of blasting by creating the protective channels.open pit north mining district, rockfall during blasting, special protection measures, protective channelsMiljan Gomilanović, Stefan Milanović, Nikola Stanić, Miloš Živanović, Saša Stepanović, Aleksandar Doderović, Tanja Stanković. "Protective channels to prevent a potential rockfall during blasting" in The 55th international october conference on mining and metallurgy, Kladovo, Serbia, 15 - 17 october 2024, Mining and metallurgy institute Bor (2024). https://doi.org/10.5937/IOC24087T М33
-
Transformer-Based Composite Language Models for Text Evaluation and Classification
Parallel natural language processing systems were previously successfully tested on the tasks of part-of-speech tagging and authorship attribution through mini-language modeling, for which they achieved significantly better results than independent methods in the cases of seven European languages. The aim of this paper is to present the advantages of using composite language models in the processing and evaluation of texts written in arbitrary highly inflective and morphology-rich natural language, particularly Serbian. A perplexity-based dataset, the main asset for the ...Mihailo Škorić, Miloš Utvić, Ranka Stanković. "Transformer-Based Composite Language Models for Text Evaluation and Classification" in Mathematics, MDPI AG (2023). https://doi.org/10.3390/math11224660 М21а
-
Prioritization of strategic measures for strengthening the security of supply of the Serbian natural gas sector
To strengthen the security of supply of the Serbian gas sector, it is necessary to analyze the impact of planned strategic measures. The analysis involves the identification of the most influential threats to the security of natural gas supply and prioritization of the strategic measures for overcoming the consequences of threats. The proposed methodology is based on Fuzzy Analytic Hierarchy Process. The obtained weights for the identified threats and strategic measures are formed according to experts' judgments. The results ...Sigurnost snabdevanja, Donošenje odluka, Snabdevanje prirodnim gasom, Fazi AHP, Energetski indikatoriBoban Pavlović, Dejan Ivezić, Marija Živković. "Prioritization of strategic measures for strengthening the security of supply of the Serbian natural gas sector" in Energy Policy, Elsevier BV (2020). https://doi.org/10.1016/j.enpol.2020.111936 М21а
-
Development of an Integrated Model for Open-Pit-Mine Discontinuous Haulage System Optimization
Miodrag Čelebić, Dragoljub Bajić, Sanja Bajić, Mirjana Banković, Duško Torbica, Aleksej Milošević, Dejan Stevanović (2024)The selection of the optimal equipment for discontinuous haulage systems is one of the most important decisions that need to be made when an open-pit mine is designed. There are a number of influencing factors, including natural (geological and environmental), technical, economic, and social. Some of them can be expressed numerically, in certain units of measure, while others are descriptive and can be stated by linguistic variables depending on the circumstances of the project. These factors are characterized by ...Miodrag Čelebić, Dragoljub Bajić, Sanja Bajić, Mirjana Banković, Duško Torbica, Aleksej Milošević, Dejan Stevanović. "Development of an Integrated Model for Open-Pit-Mine Discontinuous Haulage System Optimization" in Sustainability, MDPI (2024). https://doi.org/doi.org/10.3390/su16083156 М22
-
The Impact Assessment of NO2 Emission from District Heating Plant on Local Air Quality, the Case of Zemun, Belgrade
The Belgrade district heating system relies on fossil fuels in heat production, where natural gas has the largest share of around 95% and fuel oil with around 4.4%. The Zemun heating plant is completely fueled with fuel oil. Currently, it is the largest plant that is not fueled with natural gas. The objective of this paper is to assess the impact of NO2 from the Zemun heating plant on local air quality by analyzing and comparing the concentration of ...NO2, Zagađenje vazduha, Kvalitet vazduh na lokalnom nivou, Model disperzije, AERMOD, Daljinsko grejanje, BeogradBoban Pavlović, Uroš Pantelić, Marija Živković, Dejan Ivezić. "The Impact Assessment of NO2 Emission from District Heating Plant on Local Air Quality, the Case of Zemun, Belgrade" in Conference on Sustainable Development of Energy, Water and Environment Systems, Dubrovnik, 10.10.-15.10.2021., University of Zagreb, Zagreb, Croatia; Instituto Superior Técnico, Lisbon, Portugal (2021) М34
-
Ground surface subsidence monitoring using sentinel-1 in the “Kostolac” open pit coal mine
Zoran Gojković, Milan Kilibarda, Ljiljana Brajović, Miloš Marjanović, Aleksandar Milutinović, Aleksandar Ganić (2023)Open pit coal mining affects surrounding populated areas, resulting in terrain surface deformation. Surface deformation should be monitored as often as possible to control deformations and prevent potential incidents. This paper analyzes time series deformation estimated from the Sentinel-1 satellite images using the Persistent Scatterer Interferometry method to monitor subsidence rates caused by open pit mining activities. It is possible to measure deformations using classical geodetic methods, but those are rarely used in practice because they are time-consuming and ...Zoran Gojković, Milan Kilibarda, Ljiljana Brajović, Miloš Marjanović, Aleksandar Milutinović, Aleksandar Ganić. "Ground surface subsidence monitoring using sentinel-1 in the “Kostolac” open pit coal mine" in Remote Sensing (2023). https://doi.org/10.3390/rs15102519 М21
-
Bound-State Beta Decay of 205Tl81+ Ions and the LOREX Project
Ragandeep Singh Sidhu, Guy Leckenby, Rui-Jiu Chen, Riccardo Mancino, Thomas Neff, Yuri A. Litvinov, Gabriel Martínez-Pinedo, Georg Amthauer, Mei Bai, Klaus Blaum, Blažo Boev , Fritz Bosch, Carsten Brandau, Vladica Cvetković, Timo Dickel, Iris Dillmann, Dmytro Dmytriiev, Thomas Faestermann, Oliver Forstner, Brian Franczak, Hans Geissel, Roman Gernhäuser, Jan Glorius, Christopher J. Griffin, Alexandre Gumberidze, Emma Haettner, Pierre-Michel Hillenbrand, Paul Kienle, Wolfram Korten, Christophor Kozhuharov, Natalia Kuzminchuk, Karlheinz Langanke, Sergei Litvinov, Esther Menz, Tino Morgenroth, Chiara Nociforo, Fritz Nolden, Miodrag K. Pavićević, Nikolaos Petridis, Ulrich Popp, Sivaji Purushothaman, Rene Reifarth, Mohammad Shahab Sanjari,Christoph Scheidenberger, Uwe Spillmann, Markus Steck, Thomas Stöhlker, Yoshiki K. Tanaka, Martino Trassinelli, Sergiy Trotsenko, Laszlo Varga, Meimei Wang, Helmut Weick, Phill J. Woods, Takayuki Yamaguchi, Yu-Hu Zhang, Jianwei Zhao, Kai Zuber (2024)Stable 205Tl ions have the lowest known energy threshold for capturing electron neutrinos (νe)of Eνe ≥ 50.6 keV. The Lorandite Experiment (LOREX), proposed in the 1980s, aims at obtaining the longtime averaged solar neutrino flux by utilizing natural deposits of Tl-bearing lorandite ores.To determine the νe capture cross section, it is required to know the strength of the weak transition connecting the ground state of 205Tl and the 2.3 keV first excited state in 205Pb. The only way to ...Ragandeep Singh Sidhu, Guy Leckenby, Rui-Jiu Chen, Riccardo Mancino, Thomas Neff, Yuri A. Litvinov, Gabriel Martínez-Pinedo, Georg Amthauer, Mei Bai, Klaus Blaum, Blažo Boev , Fritz Bosch, Carsten Brandau, Vladica Cvetković, Timo Dickel, Iris Dillmann, Dmytro Dmytriiev, Thomas Faestermann, Oliver Forstner, Brian Franczak, Hans Geissel, Roman Gernhäuser, Jan Glorius, Christopher J. Griffin, Alexandre Gumberidze, Emma Haettner, Pierre-Michel Hillenbrand, Paul Kienle, Wolfram Korten, Christophor Kozhuharov, Natalia Kuzminchuk, Karlheinz Langanke, Sergei Litvinov, Esther Menz, Tino Morgenroth, Chiara Nociforo, Fritz Nolden, Miodrag K. Pavićević, Nikolaos Petridis, Ulrich Popp, Sivaji Purushothaman, Rene Reifarth, Mohammad Shahab Sanjari,Christoph Scheidenberger, Uwe Spillmann, Markus Steck, Thomas Stöhlker, Yoshiki K. Tanaka, Martino Trassinelli, Sergiy Trotsenko, Laszlo Varga, Meimei Wang, Helmut Weick, Phill J. Woods, Takayuki Yamaguchi, Yu-Hu Zhang, Jianwei Zhao, Kai Zuber. "Bound-State Beta Decay of 205Tl81+ Ions and the LOREX Project" in Physical review letters, American Physical Society (2024). https://doi.org/10.1103/PhysRevLett.133.232701 М21а
-
Модел померања терена услед утицаја рударских радова на основу радарских сателитских снимака
Зоран Гојковић (2023)Површински коп, као систем који обезбеђује енергетску стабилност или снабдевање сировинама које су од изузетне важности за привредни напредак, својим функционисањем утиче на околна насељена места. Међу бројним аспектима овог утицаја, може се издвојити издвојити и анализирати утицај вертикалних и хоризонталних померања која се јављају на површи терена. Мониторинг вертикалних и хоризонталних померања површи терена околних насељених места треба да има што бољу временску резолуцију (временски период између праћења деформација) како би се вертикална и хоризонтална померања контролисала и ...Зоран Гојковић. Модел померања терена услед утицаја рударских радова на основу радарских сателитских снимака, Београд : Универзитет у Београду, Рударко - геолошки факултет, 2023 M70