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30 items
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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
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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
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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
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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
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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
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Application of stochastic models for mine planning and coal quality control
... grade mine on the basis of predicted information.The standard optimisation technique widely used in many industrial applications is the linear and integer programming 12 . Models involve optimi- zation of a quantity usually referred to as the objective function subject to a set of constraints which ...
... predicted sulfur and tonnage values for a planned period, are sulfur (Si,%) and coal production (Ti, tons), respectively, the objective func- tion of an integer programming formulation of reducing total sulfur content is expressed by eq. (2): Minimize X S Ti n i i i�� 1 , where n is the total number of coal ...
... 1361-1372 mine on the basis of predicted information.The standard optimisation technique widely used in many industrial applications is the linear and integer programming 12 . Models involve optimi- zation of a quantity usually referred to as the objective function subject to a set of constraints which define ...Dejan Stevanović, Božo Kolonja, Ranka Stanković, Dinko Knežević, Mirjana Banković. "Application of stochastic models for mine planning and coal quality control" in Thermal Science, Belgrade : Vinča Institute of Nuclear Sciences (2014). https://doi.org/10.2298/TSCI130201031S
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Application of geophysical and multispectral imagery data for predictive mapping of a complex geo-tectonic unit: a case study of the East Vardar Ophiolite Zone, North-Macedonia
... Satellite Integer Feature 0.45-0.52 am Landsat 7 ETM +channel 2, 07 Satellite Integer Feature 0.52-0.60 apm Landsat 7 ETM +channel 3 cC3 Satellite Integer Feature 0.63-0.69 am Landsat 7 ETM+channel 4 c4 Satellite Integer Feature 0.77–0.90 am Landsat 7 ETM +channel 5 C5 Satellite Integer Feature ...
... Landsat 7 ETM +channel 7 7 Satellite Integer Feature 2.09-2.35 ım Band ratio 1 BRI Satellite Float Feature C3/C1 Band ratio 2, BR2 Satellite Float Feature C5/C4 Band ratio 3 BR3 Satellite Float Feature C5/C7 Digital elevation model DEM Geophysics Integer Feature / Bouguer anomaly map BAM Geophysics ...Filip Arnaut, Dragana Đurić, Uroš Đurić, Mileva Samardžić-Petrović, Igor Peshevski. "Application of geophysical and multispectral imagery data for predictive mapping of a complex geo-tectonic unit: a case study of the East Vardar Ophiolite Zone, North-Macedonia" in Earth Science Informatics, Springer Science and Business Media LLC (2024). https://doi.org/10.1007/s12145-024-01243-4
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Long-term planning methodology for improving wood biomass utilization
The insufficiently developed forest management system is often followed by undeveloped forest resources supply chain and insufficient institutional support. These cause inefficient usage of fuel-wood as well as huge amounts of unused forest residues. In order to achieve optimal and long-term sustainable utilisation of biomass, an original methodology based on the interaction of mathematical optimization and backcasting approach has been developed. Mathematical optimization is used for both generation and consideration of techno-economic parameters of the forest biomass supply chain. ...Vladimir Vukašinović, Dušan Gordić, Marija Živković, Davor Koncalović, Dubravka Živković. "Long-term planning methodology for improving wood biomass utilization" in Energy, Elsevier BV (2019). https://doi.org/10.1016/j.energy.2019.03.105
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Infotheca (Q25460443) in Wikidata
Ranka Stanković, Lazar Davidović (2021)Vikipodaci su baza znanja Zadužbine Vikimedija koja predstavlja zajednički izvor različitih vrsta podataka koje koriste ne samo drugi Vikipedijini projekti, već sve više i brojne aplikacije semantičkog veba. U ovom radu ćemo prezentovati primer integracije Vikipodataka sa digitalnim bibliotekama i eksternim sistemima, kao i mogućnost ubrzanja pripreme i unosa podataka na primeru radova iz časopisa za digitalnu humanistiku Infoteka.... oriented towards documents, focused on items representing topics, concepts or objects. Ev- ery item has been assigned a persistent identifier, a positive integer with an upper-case Q as a prefix, known as QID. This makes translation of the basic information necessary for recognizing a topic covered by an item ...Ranka Stanković, Lazar Davidović. "Infotheca (Q25460443) in Wikidata" in Infotheca, Faculty of Philology, University of Belgrade (2021). https://doi.org/10.18485/infotheca.2021.21.1.5
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An Efficient Class of Iterative Root-Finding Methods with Applications
Dejan Ćebić, Nebojša Ralević (2021)Dejan Ćebić, Nebojša Ralević. "An Efficient Class of Iterative Root-Finding Methods with Applications" in 2021 IEEE 19th International Symposium on Intelligent Systems and Informatics (SISY), IEEE (2021). https://doi.org/10.1109/SISY52375.2021.9582495
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A Fuzzy Expert Model for Availability Evaluation
Each technical system within itself carries the great potential danger of possible occurrence of failure and damages. Mining machines are characteristic by great investment values, costs of unplanned shutdowns, complex working conditions, and environment and workers hazards. Systematic monitoring of the mining machinery is of great importance for the management of the mining companies. Availability is the overall concept of quality of service. Includes information regard to operating state, an idle state, a standby state and shut down. The ...... which the 80 outcomes. First outcome (3) would be for combination 2-2-1: A2-2-1= [0.08, 0.11, 0.075], where is Ω2-2-1= (2+2+1)/3 = 2 (rounded as integer). Smallest value (4) among the membership functions of this outcome is MIN2-2-1 = 0.075. Additional nine outcomes can be separated for Ω = 2, and ...Dejan Ivezić, Miloš Tanasijević, Predrag Jovančić, Radiša Đurić. "A Fuzzy Expert Model for Availability Evaluation" in Proceedings of the 2019 20th International Carpathian Control Conference (ICCC), AGH University of Science and Technology, Kraków - Wieliczka, Poland (2019)
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Application of the Fuzzy Model in the Evaluation and Selection of Hydraulic Excavators on Open-Pit Lignite Mine
Stevan Đenadić, Miloš Tanasijević, Vladimir Milisavljević, Dragan Ignjatović, Predrag Jovančić (2021)The production of lignite in large open-pit mines is mainly performed with continuously operating equipment, where bucket-wheel excavators, bucket-chain excavators, belt conveyors, and spreaders are the basic machines. Smaller machines, usually of discontinuous operating nature, are commonly categorized as auxiliary machines. This paper presents the research related to the analysis of auxiliary machine parameters with the case study for a hydraulic excavator. The purpose of the analysis was to develop a model of rating quality of service of the ...Stevan Đenadić, Miloš Tanasijević, Vladimir Milisavljević, Dragan Ignjatović, Predrag Jovančić. "Application of the Fuzzy Model in the Evaluation and Selection of Hydraulic Excavators on Open-Pit Lignite Mine" in SSRN Electronic Journal, Elsevier BV (2021). https://doi.org/10.2139/ssrn.3945617
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Development of the Availability Concept by Using Fuzzy Theory with AHP Correction, a Case Study: Bulldozers in the Open-Pit Lignite Mine
Stevan Đenadić, Dragan Ignjatović, Miloš Tanasijević, Uglješa Bugarić, Ivan Janković, Tomislav Šubaranović (2019)Availability is one of the most used terms in maintainability engineering. This concept is used to denote: The quality of service of an engineering system, i.e., machines, weak points’ analysis, asset management, as well as making decisions in the process of life cycle management. Availability is an overall indicator and contains partial indicators that are oriented towards reliability, maintenance, and logistical support. Availability presents a variable value and changes in time and space. Usually, availability is shown as the ...... it for the estimate. (iv) Below, for each combination c that satisfies the condition of the outcome, the Jc value is calculated and rounded as an integer, in the following way: Jc = [( wRi · j(µR)c ) + ( wMi · j(µM)c ) + ( wSi · j(µS)c )] (11) wherein: • wi is the influential factor of the ...
... it for the estimate. (iv) Below, for each combination c that satisfies the condition of the outcome, the J; value is calculated and rounded as an integer, in the following way: Jc = [(wri : jure) + (wi : j(umpe) + (wsi : ivus)c)| (11) wherein: e ww; is the influential factor of the corresponding partial ...Stevan Đenadić, Dragan Ignjatović, Miloš Tanasijević, Uglješa Bugarić, Ivan Janković, Tomislav Šubaranović. "Development of the Availability Concept by Using Fuzzy Theory with AHP Correction, a Case Study: Bulldozers in the Open-Pit Lignite Mine" in Energies, MDPI AG (2019). https://doi.org/10.3390/en12214044
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Machine Learning and Deep Neural Network-Based Lemmatization and Morphosyntactic Tagging for Serbian
The training of new tagger models for Serbian is primarily motivated by the enhancement of the existing tagset with the grammatical category of a gender. The harmonization of resources that were manually annotated within different projects over a long period of time was an important task, enabled by the development of tools that support partial automation. The supporting tools take into account different taggers and tagsets. This paper focuses on TreeTagger and spaCy taggers, and the annotation schema alignment ...... lines equals the number of tokens in a sentence. Each line contains the following ten fields, separated with tabulator character: 1) word index (integer starting from 1 for each new sentence), 2) word form or punctuation symbol, 3) lemma or stem of word form, 4) Universal Part-of-Speech tag, 5) l ...Ranka Stanković, Branislava Šandrih, Cvetana Krstev, Miloš Utvić, Mihailo Škorić. "Machine Learning and Deep Neural Network-Based Lemmatization and Morphosyntactic Tagging for Serbian" in Proceedings of the 12th Language Resources and Evaluation Conference, May Year: 2020, Marseille, France, European Language Resources Association (2020)
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Развој геолошког терминолошког речника ГеолИССТерм
... and objects for classification by water type. Example 2 Domain: dTipPoSvojstvuvode Domain Value Source: koncept (geološki rečnik) DomainType: Integer (prenosi se primarni ključ) Layout type: lista Field: hidrogeologija Definisanje sadržaja ovog domena se ostvaruje preko primeraka klase CvorDomena: ...Ranka Stanković, Branislav Trivić, Olivera Kitanović, Branislav Blagojević, Velizar Nikolić. "Развој геолошког терминолошког речника ГеолИССТерм" in INFOteka: časopis za informatiku i bibliotekarstvo, Beograd : Zajednica biblioteka univerziteta u Srbiji (2011)
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An optimal sixteenth order family of methods for solving nonlinear equations and their basins of attraction
Dejan Ćebić, Nebojša Ralević, Marina Marčeta. "An optimal sixteenth order family of methods for solving nonlinear equations and their basins of attraction" in Mathematical Communications (2020)
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A fuzzy-based decision support model for effectiveness evaluation - a case study of examination of bulldozers
Effectiveness evaluation is one of the basic components of engineering asset management and maintenance engineering in general. Effectiveness is an overall concept representing a measurement of quality of service level for the analyzed engineering system. This concept contains a series of partial indicators relating to time in operation and time for maintenance activities, as well as functional properties of the system. This article describes the analysis and structuring of partial indicators, as well as the development of a model ...Miloš Tanasijević, Predrag Jovančić, Dejan Ivezić, Uglješa Bugarić, Radiša Đurić. "A fuzzy-based decision support model for effectiveness evaluation - a case study of examination of bulldozers" in International Journal of Industrial Engineering: Theory, Applications and Practice (2019)
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Mean-based iterative methods for finding multiple roots in nonlinear chemistry problems
Dejan Ćebić, Nebojša M. Ralević (2021)Dejan Ćebić, Nebojša M. Ralević. "Mean-based iterative methods for finding multiple roots in nonlinear chemistry problems" in Journal of Mathematical Chemistry, Springer Science and Business Media LLC (2021). https://doi.org/10.1007/s10910-021-01253-3
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A comparison between ARIMA, LSTM, ARIMA-LSTM and SSA for cross-border rail freight traffic forecasting: the case of Alpine-Western Balkan Rail Freight Corridor
Miloš Milenković, Miloš Gligorić, Nebojša Bojović, Zoran Gligorić. "A comparison between ARIMA, LSTM, ARIMA-LSTM and SSA for cross-border rail freight traffic forecasting: the case of Alpine-Western Balkan Rail Freight Corridor" in Transportation Planning and Technology, Informa UK Limited (2023). https://doi.org/10.1080/03081060.2023.2245389
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Развој хибридног модела за оптиматизацију завршне контуре одлагалишта у површинској експлоатацији лежишта минералних сировина
Aлександар Додеровић (2024)Површинска експлоатација минералних сировина захтијева претходно откопавање значајних( милионских) количина јаловине, које је неопходно транспортовати до локације на којој ће сеона трајно одложити. Традиционални приступ избора локације и дизајна одлагалишта се карактерише парцијалним приступом, заснованом на анализи неколико водећих критеријума као и на личном искуству инжењера, често занемарујући синергетски ефекат осталих утицајних фактора Технолошке операције које се односе на манипулацију јаловином, међу којима предњачи транспорт, генеришу највећи дио трошкова у површинској експлоатацији. Такође, цјелокупан процес експлоатације додатно је ограничен ...оптимизације завршне контуре одлагалишта, хибридни модел, површинска експлоатација, генетски алгоритамAлександар Додеровић. Развој хибридног модела за оптиматизацију завршне контуре одлагалишта у површинској експлоатацији лежишта минералних сировина, Београд : [А. Додеровић], 2024