Претрага
2617 items
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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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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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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 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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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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On spectar of neither pisot nor salem algebraic integrated
Stankov Dragan (2010)Stankov Dragan. "On spectar of neither pisot nor salem algebraic integrated" in Monatshefte Fur Mathematik 159 no. 01-Feb, Vienna:Springer (2010): 115-131. https://doi.org/10.1007/s00605-008-0048-0
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Green House Gases Inventory from Direct Energy Related Emissions in Serbia
Popović Jovana, Živković Marija (2017)Popović Jovana, Živković Marija. "Green House Gases Inventory from Direct Energy Related Emissions in Serbia" in Proceedings of 6th International Symposium Mining and Environmental Protection, Mining and Environmental Protection, :RGF (2017): 192-198
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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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Gemstone deposits of Serbia
Miladinović Zoran, Simić Vladimir, Jelenković Rade, Ilić Miloje. "Gemstone deposits of Serbia" in Geologica Carpathica 3 no. 67, :VEDA Publishing House of the Slovak Academy of Sciences (2016): 211-222. https://doi.org/10.1515/geoca-2016-0014
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Modelling of characteristics of crater emerged from the surface explosion on the soil
Bjelovuk I., Jaramaz S., Elek P., Mickovic D., Kričak Lazar. "Modelling of characteristics of crater emerged from the surface explosion on the soil" in FIZIKA GORENIYA I VZRYVA, (COMBUSTION, EXPLOSION, AND SHOCK WAVES) no. 3, Novosibirsk, Rusija:Publishing House of the Siberian Branch of the Russian Academy of Sciences , Springer (2015): Prihvaćen
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Late Pleistocene Voles (Arvicolinae, Rodentia) from the Baranica Cave (Serbia)
Bogićević Katarina, Nenadić Draženko, Mihailović D. "Late Pleistocene Voles (Arvicolinae, Rodentia) from the Baranica Cave (Serbia)" in Geologica Carpathica 1 no. 63, Bratislava:Vydavatelstvo Slovenskej Akademie Vied Veda (Veda, Publishing House of the Slovak Academy of Sciences) (2012): 83-94
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Multicriteria Analysis and Optimization of Groundwater Control Systems with Variable Values of Criterion over Predefined Time Points
Milica Stepanović, Dragoljub Bajić, Dušan Polomčić. "Multicriteria Analysis and Optimization of Groundwater Control Systems with Variable Values of Criterion over Predefined Time Points" in Comptes rendus de l'Académie Bulgare des Sciences, "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences (2021). https://doi.org/10.7546/CRABS.2021.08.09
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А brief review on the geophysical model of Еast Vardar ophiolites: Serbia, North Macedonia and Greece
Dragana Đurić (2022)Dragana Đurić. "А brief review on the geophysical model of Еast Vardar ophiolites: Serbia, North Macedonia and Greece" in 16th Workshop of the International Lithosphere Program Task Force Sedimentary Basins & 7th Geoscience Symposium, Bucharest, Romania, 06-07.10.202222, The Cetatea de Scaun publishing house (2022)
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The recent fault kinematics in the westernmost part of the Getic nappe system (Eastern Serbia): Evidence from fault slip and focal mechanism data
Mladenović Ana, Trivić Branislav, Antić M., Cvetković Vladica, Pavlović Radmila, Radovanović S., Fügenschuh Bernhard (2014)Mladenović Ana, Trivić Branislav, Antić M., Cvetković Vladica, Pavlović Radmila, Radovanović S., Fügenschuh Bernhard. "The recent fault kinematics in the westernmost part of the Getic nappe system (Eastern Serbia): Evidence from fault slip and focal mechanism data" in Geologica Carpathica 65 no. 2, Bratislava, Slovak Republic:Veda, Publishing House of the Slovak Academy of Sciences (2014): 147-161. https://doi.org/10.2478/geoca-2014-0010
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Present Situation and Alternative Water Supply Solutions for Northern Vojvodina (Serbia)
The northern part of the Autonomous Province of Vojvodina is situated in the central and southeastern sectors of the Pannonian Basin. Drinking water supply is provided by groundwater abstraction from depths of 60 to 200 m. The quality of that water is poor, especially due to high concentrations of arsenic which most water supply systems do not remove. Current planning documents call for the construction of large regional water supply schemes on the banks of the Danube and Tisa ...Bojan Hajdin, Vesna Ristić-Vakanjac, Dušan Polomčić. "Present Situation and Alternative Water Supply Solutions for Northern Vojvodina (Serbia)" in Proceedings of Bulgarian Academy of Sciences, "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences (2020). https://doi.org/10.7546/CRABS.2020.04.09
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Mineral safeguarding in Serbia
Vladimir Simić, Dragana Životić, Zoran Miladinović. "Mineral safeguarding in Serbia" in Mineral deposits safeguarding as a basis of mineral raw materials safety, 10–11 May 2022 Kraków, Poland, Publishing House MEERI PAS (2022)
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Results of Laboratory geotechnical investigationsfor project of bridge at the Ada in Belgrade
Majstorović Jelena, Šubaranović Tomislav, Dimitrijević Bojan, Ilić Saša. "Results of Laboratory geotechnical investigationsfor project of bridge at the Ada in Belgrade" in Proceeding of the VIII International geomechanics Conference, 2-6 July 2018, International House of cientists „Fr. J. Curie“, Resort „St.St. Constantine and Elena“, Varna , Bulgaria, Varna , Bulgaria:Scientific and technical union of mining, geology and metalurgy & Federation of the scientific engineering unions in Bulgaria (2018)
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Application of stochastic models for mine planning and coal quality control
... 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 the feasibility. In the operational mine scheduling, the decision to be made is which working ...
... 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 working benches (2) The restriction with regard to both quality and ...
... func- tion of an integer programming formulation of reducing total sulfur content is expressed by eq. (2): Minimize }., X,S;,7,, where n is the total number of coal working benches (2) The restriction with regard to both quality and tonnage requirements are formulated in the following way. First, ...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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State and perspective of individual household heating in Serbia: A survey-based study
This paper presents the results of the household survey on individual household heating systems in Serbia. The survey was conducted in the period October to December 2020 with the participation of 1100 households with individual household heating systems. The information collected in the questionnaire can be separated into three main parts: basic household data, current heating system characteristics, and households’ perceptions and attitudes. The survey results provide unique and comprehensive information concerning individual household heating systems and the main ...Boban Pavlović, Dejan Ivezić, Marija Živković. "State and perspective of individual household heating in Serbia: A survey-based study" in Energy and Buildings, Elsevier BV (2021). https://doi.org/10.1016/j.enbuild.2021.111128
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Geochemical characterization of sediments from the archaeological site Vinča – Belo Brdo, Serbia
Gorica Veselinović, Dragana Životić, Kristina Penezić, Milica Kašanin-Grubin, Nevenka Mijatović, Jovana Malbašić, Aleksandra Šajnović (2020)Gorica Veselinović, Dragana Životić, Kristina Penezić, Milica Kašanin-Grubin, Nevenka Mijatović, Jovana Malbašić, Aleksandra Šajnović. "Geochemical characterization of sediments from the archaeological site Vinča – Belo Brdo, Serbia" in CATENA, Elsevier BV (2020). https://doi.org/10.1016/j.catena.2020.104914