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Упит dcterms_subject_txt:limit ratio

226 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 ...
    mahler measure, argument principle, limit ratio

  • 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. ...
    mahler measure, argument principle, Boyd-Lawton limit formula

  • 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 ...
    reciprocal polynomial, envelope, unimodular roots

  • 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 polynomials

  • Analysis of the correlation between modified secondary and primary compression index on the example of old municipal waste in Serbia

    Dragoslav Rakić, Irena Basarić Ikodinović, Jovana Janković, Tina Đurić (2022)
    The paper presents the results related to the determination of the index of primary and maximum and minimum indices of secondary compression, i.e. modified primary and secondary compression indices (Cc, Cc', C'min, C'max), obtained by laboratory testing of artificially prepared municipal waste samples (three series of 9 samples in total) in an oedometer apparatus with a diameter of 20 cm. Old municipal waste was used, which was taken from two landfills in Serbia, one that is ...
    municipal solid waste, secondary compression index, ratio of modified secondary and primary compression index

  • Hydrogeochemical distribution of Ca and Mg in groundwater in Serbia

    Petar Papić, Jovana Milosavljević, Marina Ćuk, Rastko Petrović (2014)
    ... dominant Cretaceous limestones. This groundwater is influenced by silicate rocks but the aquifer was not contained in them, such that the ratio is close to the limit of 0.9 for this group. Otherwise it would be much higher. Looking at the calculated M/Ca ratios compared with the geological makeup, it ...
    ... was formed in limestones. Groundwater occurrences with an Mg/Ca ratio of 0.7-0.9 are generally associated with dolomitic limestones, while an Mg/Ca ratio greater than 0.9 is indicative of groundwater from Mg-rich silicate rocks. If the ratio is greater than 1, the groundwater relates to ophiolites and ...
    ... formation of the chemical composition of the groundwater. The Mg/Ca ratio is also an importanl drinking water pararneter and the recom- mended (ideal) ratio of these two ions in water is 1:2. Cliven that, according ro rhe recommended MgiCa ratio more than 6Ao/o of the groundwaters in Serbia originate from ...

  • Koenigsberger ratio and total magnetic field anomaly reduction to the pole for the area of Macedonia

    Cvetkov Vesna, Đurić Dragana, Lesić Vesna, Starčević Miroslav, Petković Mirko, Petrović Snežana (2017)

  • Nassellaria/Spumellaria ratio vs. palaeoproductivity proxies in the Middle–Upper Jurassic radiolarian-bearing deposits of the Western Tethys Fatricum Domain (Poland and Slovakia)

    Jach Renata, Đerić Nevenka, Goričan Špela (2015)

  • Determination of Mechanical Properties of Altered Dacite by Laboratory Methods

    Veljko Rupar, Vladimir Čebašek, Vladimir Milisavljević, Dejan Stevanović, Nikola Živanović (2021)
    This paper presents a methodology for determining the uniaxial and triaxial compressive strength of heterogeneous material composed of dacite (D) and altered dacite (AD). A zone of gradual transition from altered dacite to dacite was observed in the rock mass. The mechanical properties of the rock material in that zone were determined by laboratory tests of composite samples that consisted of rock material discs. However, the functional dependence on the strength parameter alteration of the rock material (UCS, intact ...
    Geology, Geotechnical Engineering, Engineering Geology

  • Evaluation And Perspectives Of Underground Coal Mines In Serbia

    Vladimir Milisavljević, Milena Lekić, Ivica Ristović, Vojin Čokorilo, Aleksandar Cvjetić (2017)

  • Freeze-dried nanocrystal dispersion of novel deuterated pyrazoloquinolinone ligand (DK-I-56-1): Process parameters and lyoprotectant selection through the stability study

    Jelena R. Mitrović, Maja Bjelošević Žiberna, Aleksandar Vukadinović, Daniel E. Knutson, Dishary Sharmin, Aleksandar Kremenović, Pegi Ahlin Grabnar, Odon Planinšek, Dominique Lunter, James M. Cook, Miroslav M. Savić, Snežana D. Savić (2023)
    Recently, nanocrystal dispersions have been considered as a promising formulation strategy to improve the bioavailability of the deuterated pyrazoloquinolinone ligand DK-I-56-1 (7‑methoxy-2-(4‑methoxy-d3-phenyl)-2,5-dihydro-3H-pyrazolo[4,3-c]quinolin-3-one). In the current study, the freeze-drying process (formulation and process parameters) was investigated to improve the storage stability of the previously developed formulation. Different combinations of lyoprotectant (sucrose or trehalose) and bulking agent (mannitol) were varied while formulations were freeze-dried under two conditions (primary drying at -10 or -45 °C). The obtained lyophilizates were characterized in terms ...
    Pharmaceutical Science
    ... 10%), sucrose and mannitolin ratio 2:1 in total concentration 10%(S+M2 + 1 10%), sucrose and mannitol in ratio 3:2 in total concentration 10% (S+M 3 + 2 10%), sucrose and mannitol in ratio 1:1 in total concen- tration 10% (S+M 1 + 1 10%), sucrose and mannitol in ratio 2:1 in total concentration ...
    ... in total concentration 10%: sucrose (S), sucrose and mannitol in ratio 1:1 (S+M 1 + 1), sucrose and mannitol in ratio 3:2 (S+M 3 + 2), trehalose (T), trehalose and mannitol in ratio 1:1 (T+M 1 + 1), trehalose and mannitol in ratio 3:2 (T+M 3 + 2). J.R. Mitrović et al. 2.3. Lyophilization ...
    ... mannitol were used in a 3:2 ratio; it remained at about 95% throughout the storage period. In the formulation with trehalose, the highest redispersibility index was reached for the same ratio (3:2), although it was below 90%. This indicated that the mentioned ratio might be the best option for ...

  • Дефинисање параметра песковитог тла за потребе прорачуна слегања плиткох темеља преко CPTm и CPTu опита

    Александар Јаковљевић (2024)
    Дефинисање меродавних геотехничких параметара тла за потребе прорачуна слегања.(a и носивости)темељног тла један је од главних задатака инжењера геотехнике.Од поузданости ових параметара и последично резултата прорачуна слегања и носивости, директно зависи који ће се тип, врста и димензије темеља као и начин фундирања истог примењивати.Да би се поуздано дефинисали неопходни геотехнички параметри а потом и извели потребни прорачуни слегања, потребно је на првом месту познавање деформабилних карактеристика тла.Подаци о збијености тла могу се добити или лабораторијским испитивањима на претходно ...
    CPT, песак, слегање, параметри, корелације
    ... 7 / ILTY CLAYS /s _ CLAYS C O N E R E S I S T A N C E , bo rs C O N E B E A R I N G , .. bo rs FRICTION RATIO,FR, % o | | 3 4 5 6 FRICTION RATIO, FR, % 1 bar = 100 kPa = 1 kgf/cm? Cauka 2,22b. /lujaopa Cnuka 2,22b. Ynpouhenu OujazpaM Knacudjukauuje mana (Douglasa i ...
    ... Unitweight Todepth — (m) (mis) _ (biows/30cm) |{MPa) - (%) ange modulus,M _ modulus,Go - strength,Su | strength (HN/m3) (m) (MPa) (MPa) (kPa) ratio 000 250 129606 56 OD | 0O 00 193 279 561 20 175 74 250 (a2.3ee-06) | (423) | (%04) | (400) |(+00) | (+008) (+13.0) (+859) (#17) | (483) — (#132) ...
    ... KOpHcTHTH 3a KJacH(pHKamujy Ta Ha OCHOBy OJUHOCA OouHor TpeĐba H OTHOpa IHIpo)[Opy KOHyCca. OBaj OJIHOC CC 3OBC (bDpHKIHOHH Koe(b)HnujeHT ( friction ratio): Rf=fs/qc (2·1·4.3, 1) PenaTaBHa 30uJeHocT H yrao cMauyhe oTropHocrTu mecka rpeMa pe3yrraruMa CPT onura Jara je Ha cirenehaM JujarpaMuiMa (Camka ...

  • Anticipated sulfur dioxide emissions from coal-fired power plants

    Aleksandar Madžarevic, Predrag Jovančić, Stevan Đenadić, Filip Miletić, Miodrag Ristović, Miroslav Crnogorac (2024)
    Southeastern Europe (SEE), which includes Serbia, along with Germany and Poland, is one of the largest producers of solid fuels in Europe. Despite growing environmental concerns, coal, especially lignite, persists and remains the dominant fuel for electricity generation in this region. Concurrently, these power plants emerge as the predominant emitters of pollutants in all the observed states. To conduct a comprehensive analysis, data on major emitters within the European Union were gathered, allowing for a detailed comparison with SEE ...
    energetika, emisije, SO2, ugalj, elektrane, Srbija

  • Influence of paleoenvironmental conditions on distribution and relative abundance of saturated and aromatic hydrocarbons in sediments from the NW part of the Toplica basin, Serbia

    Nikola Burazer, Aleksandra Šajnović, Nebojša Vasić, Milica Kašanin-Grubin, Dragana Životić, João Graciano Mendonça Filho, Predrag Vulić, Branimir Jovančićević (2020)
    Stratigraphy,Economic Geology,Geology,Geophysics,Oceanography
    ... the C/S ratio (Tables 6 and 9). The prevalence of C30 αβ hopane over C30 βα moretane char- acterizes most of the samples. The values of the C31 homohopane (C31 22S/(22S + 22R)) ratio range between 0.04 and 0.54 (Table 9). In general, low values of the C29 sterane (C29 20S/(20S + 20R)) ratio are recorded ...
    ... Table 9) ratio is suggesting that more stable C30 αβ hopane is dominating most of the samples. However, the values of the ratio are not near the equilibrium values (C30M/C30H over 0.15, Peters et al., 2005). As shown in Table 9, the values of the C31 homohopane (C31 22S/(22S + 22R) under 0.5) ratio are ...
    ... Odd homolog n- C31 predominates among longer chain n-alkanes in the majority of samples, resulting in the n-C27/n-C31 ratio lower than 1 (Table 8). The n-C17-n-C21/n-C27-n-C31 ratio ranges between 0.20 and 5.83, whereas the AI (alkane index) is varying from 0.35 to 0.63 (Table 8). Ad- ditionally, samples ...

  • Correlation Between Dynamic CBR and Compaction and Bearing Capacity of Pavement Foundation Layers

    Milan Bogdanović, Snežana Bogdanović, Dragoslav Rakić, Irena Basarić Ikodinović (2024)
    This paper presents a dynamic California Bearing Ratio (CBRd) device that can be used on a prepared pavement foundation layer to obtain a certain parameter of the tested material in the laboratory and in situ in a direct and fast way. For the selected natural material (gravel), it is shown that the laboratory CBRd can be used to estimate the compaction and bearing capacity, because it correlates well with the parameters of the standard and modifed Proctor compaction tests. ...
    korelacija parametara, donji slojevi saobraćajnica, laboratorijska i terenska ispitivanja, dinamički kalifornijski indeks nosivosti CBRd
    ... between the results of California Bearing Ratio (CBR) research on stat- ic (classic) and dynamic methods with ash samples in the unsaturated state has been presented [5], and the correlations of the parameters of the laboratory dynamic California Bearing Ratio (CBR, ) with the com- paction properties ...
    ... Mining and Geology, Belgrade, Serbia, *Corresponding author Email: milan.bogdanovic(Ottpaqi.com. This paper presents a dynamic California Bearing Ratio (CBR,) device that can be usedon a prepared pavement foundation layer to obtain a certain parameter of the tested material in the laboratory and in ...
    ... defined based on laboratory testing for incorporation into the substrate layer; – the method of using a non-standardized dynamic California Bearing Ratio (CBR,) device and the defi- nitions of its values under laboratory and field conditions are proposed; – the values of the modulus of deformation ...

  • Dehydroicetexanes in sediments and crude oils: Possible markers for Cupressoideae

    Hans Peter Nytoft, Geir Kildahl-Andersen, Sofie Lindström, Frode Rise, Achim Bechtel, Danica Mitrović, Nataša Đoković, Dragana Životić, Ksenija A. Stojanović (2019)
    Two previously unidentified dehydroabietane isomers were isolated from Miocene Serbian lignite and Rhaetian (Late Triassic) coaly mudstones from South Sweden and characterized using NMRspectroscopy as cis- and trans-dehydroicetexane. Both have a 9(10?20)-abeo-abietane or icetexane skeleton, consisting of a 6-7-6 tricyclic framework with seven carbons in ring B instead of the usual six in common diterpanes of the abietane-type. Dehydroicetexanes can be detected using GC-MS-MS in m/z 270?146 chromatograms without interference from dehydroabietane or other isomers. Dehydroicetexanes are often abundant ...
    Geochemistry and Petrology
    ... trans/(cis + trans) ratio for the untreated sample was 0.85 and the five pyrol- ysed samples ranged from 0.75 to 0.81, with no clear trend, sug- gesting that an equilibrium had already been obtained. The biodegraded Amauligak oil from Canada (Fig. 6) had a trans/ (cis + trans) ratio of only 0.75. It also ...
    ... tively). The ratio for the Canadian Amauligak oil is 11.2 and seven of eleven oils from West Greenland range from 14.5 to 130. The remaining four oils contain no dehydroabietane. Hydrous pyrolysis of black shale from Ellesmere Island at 220, 250, 270, 285 and 300 �C increased the ratio from 0.40 in the ...
    ... of the seam, but low at the top and bottom (Table 3). The trans/(cis + trans) dehydroicetexane ratio is almost constant throughout and close to equilibrium, whereas the dehydroicetexanes/dehydroabietane ratio increases almost two orders of magnitude from the center with a high TOC to the edges with a ...

  • Copper minerals flotation in flotation plant of the "rudnik" mine

    Predrag Lazić, Đurica Nikšić, Branislav Miković, Rudolf Tomanec (2019)
    У флотационој фабрици рудника "Рудник" користи се јединствена технологија директне селективне флотације у циљу добијања селективних концентрата олова, бакра и цинка. Технолошки процес је веома осетљив на тзв. "селективност", јер је присутан губитак појединих метала кроз селективне концентрате. Циклус флотације бакарних минерала посебно је осетљив на селективност, па понекад у бакарном концентрату постоји већи садржај минерала олово и цинка, што се пенализује. У овом раду приказани су резултати лабораторијских истраживања могућности смањења садржаја галене и цинка у бакарном концентрату ...
    селективна флотација, минерали бакра, пенализирајући елементи

  • Mineralogical analysis of a clay body from Zlakusa, Serbia, used in the manufacture of traditional pottery

    Maja Milošević, Biljana Đorđević, Mihovil Logar (2020)
    калцит, сирова глина, традиционална керамика, Злакуса
    ... was determined using the pipette method according to the DIN ISO 11277 (2002). The Atterberg limits (plasticity index (PI), plastic limit (PL) and liquid limit (LL)) were determined according to the Casagrande method (LCPC, 1987) and calculated according to Atterberg (1911). Results and discussion ...
    ... Roman pottery from an archaeological site near Mošnje (Slovenia). Applied Clay Science, 57, 39-48. LCPC (1987) Limites d'Atterberg, limite de liquiditć, limite de plasticite, method' deessai LPC, n*19. Paris, France, Publication LCPC, 26 pp. McManus J. (1988) Grain size distribution and inte ...
    ... mica/illite, smectite, quartz, paragonite, feldspar, calcite and hematite. The clay body sample is a mixture of raw clay and crushed calcite in a ~50:50 ratio, which was confirmed using various techniques. We ave also considered and investigated the technological potential of the sampled materials, taking ...

  • The State and Perspective of Belgrade District Heating System Development

    Dejan Ivezić, Marija Živković, Aleksandar Madžarević, Fethi Silajdžić, Samra Arnaut, Goran Đelić (2019)
    District heating (DH) system in Belgrade provides energy for heating of more than 21 million m2 in households (app. 50% of all households), public, commercial and industry sectors. Public Utility Company “Beogradske elektrane” is responsible for all segments of the DH system operation. The system is fueled mostly by natural gas. The share of renewables is negligible. The research analyzes effects of implementation of two main projects proposed in the Development Strategy of the PUC - the introduction of ...
    daljinsko grejanje, Beograd, razvoj

  • Study of the Synergetic Effect of Co-Pyrolysis of Lignite and High-Density Polyethylene Aiming to Improve Utilization of Low-Rank Coal

    Ivan Kojić, Achim Bechtel, Nikoleta Aleksić, Dragana Životić, Snežana Trifunović, Gordana Gajica, Ksenija Stojanović (2021)
    Polimeri i plastika, opšta hemija