Претрага
729 items
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Istraživanje uzajamnog uticaja konstrukcije točka i strele rotornog bagera i njihove pouzdanosti
Dragan Polovina (1999)Dragan Polovina. Istraživanje uzajamnog uticaja konstrukcije točka i strele rotornog bagera i njihove pouzdanosti, Beograd:Rudarsko-geološki fakultet, 1999
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Flotabilnost fluorita u uslovima selektivnog flotiranja iz polimetaličnih ruda
dragan Radulović (1999)dragan Radulović. Flotabilnost fluorita u uslovima selektivnog flotiranja iz polimetaličnih ruda, Beograd:Rudarsko-geološki fakultet, 1999
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Stabilnost podzemnih objekata dubokih metaličnih ležišta na primerui rudnog tela Borska reka
Dragan Zlatanović (2000)Dragan Zlatanović. Stabilnost podzemnih objekata dubokih metaličnih ležišta na primerui rudnog tela Borska reka, Beograd:Rudarsko-geološki fakultet, 2000
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Unapređenje konstrukcije pelet mašine
Dragan Medenica (2000)Dragan Medenica. Unapređenje konstrukcije pelet mašine, Beograd:Rudarsko-geološki fakultet, 2000
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Primena savremenih matematičkih modela za simulaciju kretanja podzemnih voda i transporta zagađenja na primeru izvorišta Vrbas
Dragan Kaluđerović (2000)Dragan Kaluđerović. Primena savremenih matematičkih modela za simulaciju kretanja podzemnih voda i transporta zagađenja na primeru izvorišta Vrbas, Beograd:Rudarsko-geološki fakultet, 2000
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Gasno ležište Itebej g3" u funkciji podzemnog skladišta gasa"
Dragan Jovičić (2009)Dragan Jovičić. Gasno ležište Itebej g3" u funkciji podzemnog skladišta gasa", Beograd:Rudarsko-geološki fakultet, 2009
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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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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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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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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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Математика 2
Драган Станков (2020)Драган Станков. Математика 2, Београд : Универзитет у Београду, Рударско-геолошки факултет, 2020
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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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Poređenje rezultata interferometrijske analize za zemljotrese na istočnom anatolijskom rasedu od 2020. i 2023. godine
Dragan Živković (2024)Ovaj rad se bavi analizom površinskih deformacija izazvanih zemljotresima u Turskoj iz 2020. i 2023. godine korišćenjem diferencijalne satelitske radarske interferometrije (DInSAR tehnike). Cilj istraživanja bio je da se kvantifikuju i uporede deformacije terena izazvane ovim seizmičkim događajima i da se razumeju mehanizmi koji stoje iza oslobađanja seizmičke energije u regionu. Analizom DInSAR snimaka, identifikovane su različite deformacije duž rasednih zona za svaki zemljotres. Dok je zemljotres iz 2020. godine (M 6,7) izazvao lokalizovane deformacije duž Istočno anatolijskog raseda, zemljotres ...Dragan Živković. Poređenje rezultata interferometrijske analize za zemljotrese na istočnom anatolijskom rasedu od 2020. i 2023. godine, 2024
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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)
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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)
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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)
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Варијанта решења примене екрана у заштити Површинског копа Дрмно од вода
Дарко Станић (2024)Због напредовања рударских радова, Површински коп Дрмно се приближава кориту реке Дунав на северној страни. Постоје две могуће границе површинског копа, а због сигурне експлоатације потребно је одабрати квалитетно предодводњавање.То је могуће израдом водонепропусног екрана.Одрађени су прорачуни прилива подземних вода у коп за обе локације површинског копа, применом водонепропусног екрана. Локација 1 има контуру површинског копа по постојећој Студији изводљивости, а Локација 2 има контуру копа на основу резултата нових геолошких истраживања. Свака локација има по две варијанте предодводњавања ...Дарко Станић. Варијанта решења примене екрана у заштити Површинског копа Дрмно од вода, 2024
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Tehnička i biološka rekultivacija deponije pepela i šljake na Površinskom kopu Gračanica, Gacko
Boban Crnogorac (2024)U završnom radu prikazane su faze rekultivacije u cilju uklanjanja degradiranih površina nastale usled deponovanja pepela i šljake, tehnološki proces nastajanja istih, kao i način transporta i odlaganja šljake i pepela. Primenjena je optimalna rekultivacija koja se sastoji od tehničke i biološke rekultivacije. Detaljno je predstavljen opis izvođenja radova tehničke i biološke rekultivacije, ukupni troškovi svih radova, kao i izbor metoda prevođenja degradiranih površina izazvanih odlaganjem šljake i pepela, u cilju njihove rekultivacije i rehabilitacije u njihov koliko je moguće prvobitni oblik. Ovi ciljevi se ...Površinska eksploatacija, PK „Gračanica“, Tehnička rekultivacija, Biološka rekultivacija, zaštita životne sredine, pepeo, šljakaBoban Crnogorac. Tehnička i biološka rekultivacija deponije pepela i šljake na Površinskom kopu Gračanica, Gacko, 2024
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Hydrochemical changes and groundwater grouping data by multivariate statistical methods within one karst system: recharge–discharge zone (Eastern Serbia case study)
Ljiljana Vasić, Dragana Živojinović, Vladana Rajaković-Ognjanović. "Hydrochemical changes and groundwater grouping data by multivariate statistical methods within one karst system: recharge–discharge zone (Eastern Serbia case study)" in Carbonates and Evaporites, Springer Science and Business Media LLC (2020). https://doi.org/10.1007/s13146-019-00548-6