Претрага
621 items
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Savršeni brojevi - nasjtariji nerešeni matematički problem
Stankov Dragan (2015)Stankov Dragan. "Savršeni brojevi - nasjtariji nerešeni matematički problem" in Noć istraživača, Zrenjanin:Visoka tehnička škola (2015)
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Software for teaching math and preparing tests
Stankov Dragan (2012)Stankov Dragan. "Software for teaching math and preparing tests" in Zbornik radova / Simpozijum Matematika i primene, Beograd 27. i 28. maj 2011, Beograd:Matematički fakultet (2012)
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Powers of Salem Numbers and Distribution Modulo 1
Stankov Dragan (2015)Stankov Dragan. "Powers of Salem Numbers and Distribution Modulo 1" in 29th Journées Arithmétiques, Debrecen:Debrecen Egyetem (2015): 83-83
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Roots of trinomials of bounded height
Stankov Dragan (2014)Stankov Dragan. "Roots of trinomials of bounded height" in International Conference. 13th Serbian Mathematical Congress, Maj, 22-25, 2014, Vrnjačka Banja, Serbia : Book of Abstracts, Niš:Faculty of Sciences and Mathematics (2014): 11
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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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Distribution Modulo One of the Sum of Powers of a Salem Nubmer
Stankov Dragan (2015)Stankov Dragan. "Distribution Modulo One of the Sum of Powers of a Salem Nubmer" in Šesti simpozijum Matematika i primene zbornik radova, Beograd:Univerzitet u Beogradu Matematički fakultet (2015)
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On Linear Combinations of the Chebyshev Polynomials
Stankov Dragan (2015)Stankov Dragan. "On Linear Combinations of the Chebyshev Polynomials" in Publications de lInstitut Mathématique 111 no. 97, Beograd:Matematički institut SANU (2015): 57-67. https://doi.org/DOI: 10.2298/PIM150220001S
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Математика 2
Драган Станков (2020)Драган Станков. Математика 2, Београд : Универзитет у Београду, Рударско-геолошки факултет, 2020
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Збирка решених задатака из Mатематике I
Драган Станков (2016)Драган Станков. Збирка решених задатака из Mатематике I, Београд : Универзитет у Београду, Рударско-геолошки факултет, 2016
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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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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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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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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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Creation of a Training Dataset for Question-Answering Models in Serbian
Razvoj i primena veštačke inteligencije u jezičkim tehnologijama značajno su napredovali poslednjih godina, posebno u domenu zadatka odgovaranja na pitanja (Question Answering - QA). Dok su postojeći resursi za QA zadatke razvijeni za glavne svetske jezike, srpski jezik je relativno zanemaren u ovoj oblasti. Ovaj rad predstavlja inicijativu za kreiranje obimnog i raznovrsnog skupa podataka za obučavanje modela za odgovaranje na pitanja na srpskom jeziku, koji će doprineti unapređenju jezičkih tehnologija za srpski jezik. Pored brojnih istraživanja o jezičkim modelima ...veštačka inteligencija, obrada prirodnog jezika, jezički resursi, anotirani skupovi, ekstrakcija informacija, odgovaranje na pitanjaRanka Stanković, Jovana Rađenović, Maja Ristić, Dragan Stankov. "Creation of a Training Dataset for Question-Answering Models in Serbian" in South Slavic Languages in the Digital Environment JuDig Book of Abstracts, University of Belgrade - Faculty of Philology, Serbia, November 21-23, 2024, University of Belgrade - Faculty of Philology (2024)
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Actual contamination of the Danube and Sava rivers at Belgrade (2013)
Milan Antonijević, Marija Arsović, Josef Cáslavský, Vesna Cvetković, Predrag Dabić, Mladen Franko, Gordana Ilić, Milena Ivanovic, Nevena Ivanović, Milica Kosovac, Dragana Medić, Slobodan Najdanović, Milica Nikolić, Jovana Novaković, Tatjana Radovanović, Djurdjina Ranić, Bojan Šajatović, Gorica Špijunović, Ivana Stankov, Jelena Tošović, Polonca Trebse, Olivera Vasiljević, Jan Schwarzbauer (2014)rečni sistemi, stanje zagađenja, organski zagađivači, teški metali, skrining analize, non-target screening... Franko, Gordana Ilić, Milena Ivanovic, Nevena Ivanović, Milica Kosovac, Dragana Medić, Slobodan Najdanović, Milica Nikolić, Jovana Novaković, Tatjana Radovanović, Djurdjina Ranić, Bojan Šajatović, Gorica Špijunović, Ivana Stankov, Jelena Tošović, Polonca Trebse, Olivera Vasiljević, Jan Schwarzbauer ...
... Franko, Gordana Ilić, Milena Ivanovic, Nevena Ivanović, Milica Kosovac, Dragana Medić, Slobodan Najdanović, Milica Nikolić, Jovana Novaković, Tatjana Radovanović, Djurdjina Ranić, Bojan Šajatović, Gorica Špijunović, Ivana Stankov, Jelena Tošović, Polonca Trebse, Olivera Vasiljević, Jan Schwarzbauer | ...
... ИВАНОВИЋ 7 , НЕВЕНА ИВАНОВИЋ 8 , МИЛИЦА КОСОВАЦ 8 , ДРАГАНА МЕДИЋ 7 , СЛОБОДАН НАЈДАНОВИЋ 7 , МИЛИЦА НИКОЛИЋ 7 , ЈОВАНА НОВАКОВИЋ 4 , ТАТЈАНА РАДОВАНОВИЋ 5, ЂУРЂИНА РАНИЋ 4 , БОЈАН ШАЈАТОВИЋ 6 , ГОРИЦА ШПИЈУНОВИЋ 2 , ИВАНА СТАНКОВ 6 , ЈЕЛЕНА ТОШОВИЋ 8 , POLONCA TREBŠE 5 , ОЛИВЕРА ВАСИЉЕВИЋ ...Milan Antonijević, Marija Arsović, Josef Cáslavský, Vesna Cvetković, Predrag Dabić, Mladen Franko, Gordana Ilić, Milena Ivanovic, Nevena Ivanović, Milica Kosovac, Dragana Medić, Slobodan Najdanović, Milica Nikolić, Jovana Novaković, Tatjana Radovanović, Djurdjina Ranić, Bojan Šajatović, Gorica Špijunović, Ivana Stankov, Jelena Tošović, Polonca Trebse, Olivera Vasiljević, Jan Schwarzbauer. "Actual contamination of the Danube and Sava rivers at Belgrade (2013)" in Journal of the Serbian Chemical Society, National Library of Serbia (2014). https://doi.org/10.2298/JSC131105014A
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Research on Power Plant Ash Impact on the Quality of Soil in Kostolac and Gacko Coal Basins
Savić Dragana, Nišić Dragana, Malić Nenad, Dragosavljević Zlatko, Medenica Dragan. "Research on Power Plant Ash Impact on the Quality of Soil in Kostolac and Gacko Coal Basins" in Minerals 54 no. 8 (2), Basel, Switzerland:MDPI AG (2018): 1-16. https://doi.org/doi:10.3390/min8020054
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Ground displacement estimation using DInSAR technique
Ilić Dragana, Đurić Dragana (2018)Ilić Dragana, Đurić Dragana. "Ground displacement estimation using DInSAR technique" in Abstract Book 17th Serbian Geological Congress, May 17‐20 2, Beograd:Srpsko geološko društvo (2018): 742-746
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Карактеризација и управљање индустријским отпадом
Динко Кнежевић, Драгана Нишић, Рудолф Томанец, Драгана Ранђеловић. Карактеризација и управљање индустријским отпадом, Београд : Универзитет у Београду, Рударско-геолошки факултет, 2018
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Moниторинг у животној средини - одабрана поглавља
Динко Кнежевић, Драгана Нишић, Александар Цвјетић, Драгана Ранђеловић, Зоран Секулић. Moниторинг у животној средини - одабрана поглавља, Београд : Универзитет у Београду, Рударско-геолошки факултет, 2015