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    Wyświetlanie 1-10 z 10
    Tytuł:
    Matrix methods in evaluation of integrals
    Autorzy:
    Wituła, Roman
    Słota, Damian
    Matlak, Jarosław
    Różański, Michał
    Powiązania:
    https://bibliotekanauki.pl/articles/1839805.pdf
    Data publikacji:
    2020
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    matrix methods
    evaluation of integrals
    central binomial coefficients
    identities for finite sums
    metoda macierzowa
    współczynnik dwumianowy
    metoda oceny całek
    Opis:
    The method of evaluating the integrals through use of the matrix inversion, presented here, was introduced by J.W. Rogers and then generalized by Matlak, Słota and Wituła. This method is still developed and one of its other possible applications is presented in this paper. This application concerns a new way of evaluating the integral ʃ sec2n+1 xdx on the basis of the discussed method. Additionally, many other applications of the obtained original recursive formula for this type of integral are given here. Some of them are used to generate the interesting identities for inverses of the central binomial coefficients and the trigonometric limits. The historical view is also presented as well as the connections between the received and previously known identities.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 103-112
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On theoretical and practical aspects of Duhamel’s integral
    Autorzy:
    Różański, Michał
    Sikora, Beata
    Smuda, Adrian
    Wituła, Roman
    Powiązania:
    https://bibliotekanauki.pl/articles/2083463.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    Duhamel’s integral
    Duhamel’s principle
    Duhamel’s formula
    Laplace transformation
    semigroup of operators
    Leibniz integral rule
    Volterra integral equation
    Caputo fractional derivative
    Opis:
    The paper is a new approach to the Duhamel integral. It contains an overview of formulas and applications of Duhamel’s integral as well as a number of new results on the Duhamel integral and principle. Basic definitions are recalled and formulas for Duhamel’s integral are derived via Laplace transformation and Leibniz integral rule. Applications of Duhamel’s integral for solving certain types of differential and integral equations are presented. Moreover, an interpretation of Duhamel’s formula in the theory of operator semigroups is given. Some applications of Duhamel’s formula in control systems analysis are discussed. The work is also devoted to the usage of Duhamel’s integral for differential equations with fractional order derivative.
    Źródło:
    Archives of Control Sciences; 2021, 31, 4; 815-847
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Matrix methods in evaluation of integrals
    Autorzy:
    Wituła, Roman
    Słota, Damian
    Matlak, Jarosław
    Różański, Michał
    Powiązania:
    https://bibliotekanauki.pl/articles/122939.pdf
    Data publikacji:
    2020
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    matrix methods
    evaluation of integrals
    central binomial coefficients
    identities for finite sums
    metoda macierzowa
    współczynnik dwumianowy
    metoda oceny całek
    Opis:
    The method of evaluating the integrals through use of the matrix inversion, presented here, was introduced by J.W. Rogers and then generalized by Matlak, Słota and Wituła. This method is still developed and one of its other possible applications is presented in this paper. This application concerns a new way of evaluating the integral ʃ sec2n+1 xdx on the basis of the discussed method. Additionally, many other applications of the obtained original recursive formula for this type of integral are given here. Some of them are used to generate the interesting identities for inverses of the central binomial coefficients and the trigonometric limits. The historical view is also presented as well as the connections between the received and previously known identities.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 103-112
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The influence of positioning deposited beads direction to resistance on grind wear plates’ abrasive wear
    Wpływ kierunku ułożenia ściegów na odporność na zużywanie ścierne szlifowanych płyt trudnościeralnych
    Autorzy:
    Szymura, Michał
    Różański, Maciej
    Powiązania:
    https://bibliotekanauki.pl/articles/115194.pdf
    Data publikacji:
    2019
    Wydawca:
    Stowarzyszenie Inżynierów i Techników Mechaników Polskich
    Tematy:
    płyta trudnościeralna
    napawanie
    ścieranie
    żeliwo chromowe
    wear plate
    hardfacing
    abrasion
    chromium cast iron
    Opis:
    The article presents the results of the study of the significance of influence of positioning deposited beads towards direction of abrasive movement, to resistance on grind wear plates HARDPLATE 100S’ abrasive wear. The study on relevance of influence was conducted by using completely randomized design. The range of study has covered testing the metal-material abrasive wear resistance, macroscopic and microscopic metallographic examination and hardness tests.
    W artykule przedstawiono wyniki badania istotności wpływu kierunku ułożenia ściegów względem kierunku ruchu ścierniwa na odporność na zużywanie ścierne szlifowanych płyt trudnościeralnych HARDPLATE 100S. Badanie istotności wpływu prowadzono stosując program statyczny randomizowany kompletny. Zakres badań obejmował badanie odporności na zużywanie ścierne typu metal-minerał, badania metalograficzne makro- i mikroskopowe oraz pomiar twardości warstwy napawanej.
    Źródło:
    Welding Technology Review; 2019, 91, 5; 11-16
    0033-2364
    2449-7959
    Pojawia się w:
    Welding Technology Review
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A comprehensive approach to the optimization of design solutions for dry anti-flood reservoir dams
    Autorzy:
    Łydżba, Dariusz
    Różański, Adrian
    Sobótka, Maciej
    Pachnicz, Michał
    Grosel, Szczepan
    Rainer, Jakub
    Powiązania:
    https://bibliotekanauki.pl/articles/1845146.pdf
    Data publikacji:
    2021
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    finite element method
    stability
    settlement
    filtration
    kriging
    Opis:
    The article proposes the methodology of designing dams of dry flood control reservoirs. The algorithm is developed so as to meet all the requirements given in the Eurocode 7 and, at the same time, to be efficient in terms of necessary calculation time. Furthermore, the presented numerical procedure enables the optimization of design solutions, e.g. the depth and length of the anti-filtration barrier, by means of parametric analyses. The approach assumes the use of numerical methods, in particular, finite element (FE) analysis. Three-dimensional (3D) reconstruction of the terrain topography and subsoil layer arrangement performed in step (1) sets the base for further analyses. In step (2), the filtration phenomena are assessed based on the 3D analysis of a transient groundwater flow. In step (3), the state of displacement is evaluated and the stability is verified for all the relevant phases of construction and operation of the facility, in particular, in the course of simulated flood detention. The analyses in step (3) are carried out on 2D models corresponding to the design cross-sections of the dam. This significantly reduces the computation time (compared to 3D analysis) and, at the same time, provides a safe estimate of factor of safety. The performance of the proposed algorithm is shown on the numerical examples of the computations concerning the dam of Szalejów Górny dry anti-flood reservoir located in Poland.
    Źródło:
    Studia Geotechnica et Mechanica; 2021, 43, 3; 270-284
    0137-6365
    2083-831X
    Pojawia się w:
    Studia Geotechnica et Mechanica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Patriotyzm XXI wieku – narcyzm czy duma narodowa?
    Patriotism of the 21st century - narcissism or national pride?
    Autorzy:
    Przybylski, Wojciech
    Ruszkowski, Paweł
    Janocha, Michał
    Mazurkiewicz, Piotr
    Grabowska, Mirosława
    Pankowski, Rafał
    Różański, Mirosław
    Powiązania:
    https://bibliotekanauki.pl/articles/941265.pdf
    Data publikacji:
    2017
    Wydawca:
    Collegium Civitas
    Tematy:
    patriotyzm
    nacjonalizm
    młodzież
    patriotism
    nationalism
    youths
    Opis:
    Celem debaty było przyjrzenie się temu, czym jest patriotyzm i nacjonalizm we współczesnej Polsce. Punktem wyjścia do prowadzonej dyskusji były badania przeprowadzone wspólnie przez CBOS i Collegium Civitas w czerwcu 2017 roku, Patriotyzm i nacjonalizm w świadomości Polaków.W pierwszej części debaty gości dyskutowali różne podejścia do definiowania patriotyzmu i nacjonalizmu oraz ich wzajemnej relacji. Część druga była poświęcona dyskursowi publicznemu odnoszącemu się do tych dwóch pojęć. W ostatniej części panelu goście dyskutowali o patriotyzmie wśród młodzieży ze szczególnym uwzględnieniem studentów szkół wyższych.
    The aim of the debate was to look at what patriotism and nationalism in modern Poland are. The starting point for the discussion was a research carried out jointly by CBOS and Collegium Civitas in June 2017, Patriotism and nationalism in the minds of Poles. In the first part of the debate guests discussed different approaches to defining patriotism and nationalism and their mutual relationship. The second part was devoted to public discourse referring to these two concepts. In the last part of the panel guests discussed patriotism among young people, with particular emphasis on university students.
    Źródło:
    Zoon Politikon; 2017, 8; 339-363
    2543-408X
    Pojawia się w:
    Zoon Politikon
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Safety analysis of the Żelazny Most tailings pond: qualitative evaluation of the preventive measures effectiveness
    Autorzy:
    Łydżba, Dariusz
    Różański, Adrian
    Sobótka, Maciej
    Pachnicz, Michał
    Grosel, Szczepan
    Tankiewicz, Matylda
    Stefanek, Paweł
    Powiązania:
    https://bibliotekanauki.pl/articles/1845173.pdf
    Data publikacji:
    2021
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    tailings pond
    dam safety
    loading berm
    relief well
    Opis:
    In this paper, a qualitative safety analysis of the Żelazny Most tailings pond is addressed. This object is one of the largest facilities of this type in the world being a crucial element in the technological line of copper production in KGHM Polska Miedź S.A. The assessment of the effectiveness of two types of preventive measures, i.e., relief wells and loading berms, is investigated based on displacement and stability analysis of two 2D cross-sections in a technical section of the dam. The study shows that the considered preventive measures generally have a positive impact on increasing the safety level of the structure during its further raise. In particular, their effectiveness is most evident when they are applied simultaneously. It is eventually suggested that the selection of final solutions to be applied on the facility should be based on the quantitative 3D analysis.
    Źródło:
    Studia Geotechnica et Mechanica; 2021, 43, 2; 181-194
    0137-6365
    2083-831X
    Pojawia się w:
    Studia Geotechnica et Mechanica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Monitoring of Greenhouse Gases in the Atmosphere – A Polish Perspective
    Autorzy:
    Różański, Kazimierz
    Chmura, Łukasz
    Gałkowski, Michał
    Nęcki, Jarosław
    Zimnoch, Mirosław
    Bartyzel, Jakub
    O’Doherty, Simon
    Powiązania:
    https://bibliotekanauki.pl/articles/2079199.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    Nauki o Ziemi
    Opis:
    An overview of systematic observations of the trace-gas composition of the atmosphere over southern Poland is presented, against the background of data available for other greenhouse gas (GHG) monitoring stations in Europe. The results of GHG monitoring for three major greenhouse gases (CO2, CH4, N2O) are discussed. Measurements were performed at two locations of contrasting characteristics, i.e. (i) the high-altitude mountain station of Kasprowy Wierch in the High Tatras, representing atmospheric conditions relatively free of local infl uences, and (ii) an urban station located in the Krakow agglomeration. The GHG data available for the Kasprowy Wierch station were compared with relevant data available for two marine reference stations (Mace Head, Ireland and Terceira Island, Azores), and two continental stations (Hohenpeissenberg, Germany and Pallas-Sammaltunturi, Finland). The growth rates for the CO2 mole fraction recorded at these fi ve stations reveal only small temporal changes that almost coincide, leading to a quasi-linear increase of the CO2 mixing ratio over the European continent over the past 20 years. While N2O observations also reveal a steady increase over this time period, the mole fraction accounted for by CH4 is increasing again, after a period of stagnation in the years 2001–2007. The impact of continental sources of CH4 and N2O is seen clearly in the Kasprowy Wierch records. The mean departure between the CH4 mixing ratios recorded at Kasprowy Wierch and at the marine reference stations in the period 1994–2014 is of 27.3 ppb, and stems from continental emissions of this gas originating mainly from anthropogenic activities (leaking natural-gas distribution networks, landfi lls and livestock). For N2O, a departure of 1 ppb was observed for the period 2009–2014. Comparison of quasi-continuous measurements of CO2, CH4 and N2O mixing ratios made in the urban atmosphere of Krakow and at the regional reference site Kasprowy Wierch (located approximately 100 km away), allows for a deeper insight into the mechanisms controlling daily variations in atmospheric mixing ratios of these gases at the two sites. The development of a nocturnal inversion layer in the atmosphere above the city leads to local enhancements of CO2, CH4 and N2O mole fractions in the Krakow atmosphere during the night hours, with these exceeding the baseline level signifi cantly.
    Źródło:
    Papers on Global Change; 2016, 23; 111-126
    2300-8121
    1730-802X
    Pojawia się w:
    Papers on Global Change
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    W poszukiwaniu Piastów
    In search of the Piasts
    Autorzy:
    Handschuh, Luiza
    Stolarek, Ireneusz
    Juras, Anna
    Zeńczak, Michał
    Marcinkowska-Swojak, Małgorzata
    Myszka, Anna
    Trzciński, Dawid
    Losik-Sidorska, Aleksandra
    Wojtczak, Jakub
    Philips, Anna
    Różański, Artur
    Dębski, Artur
    Kozłowski, Piotr
    Matla, Marzena
    Dobosz, Józef
    Jasiński, Tomasz
    Piontek, Janusz
    Kóčka-Krenz, Hanna
    Figlerowicz, Marek
    Powiązania:
    https://bibliotekanauki.pl/articles/697389.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Opolski
    Tematy:
    The Piasts
    genetic tests
    DNA sequencing
    ancient DNA (aDNA)
    mitochondrial DNA (mt DNA)
    Y chromosome
    Opis:
    The origin of the Piast dynasty is a matter of lively discussions and disputes. At least a few controversial hypotheses exist, but their credibility is difficult to assess due to the scarcity of written as well as material sources, especially from the time of Polish state formation. Life sciences, however, can support history and archeology. Application of genetic tests, used earlier mainly in forensic laboratories, enabled identification of the remains of King Richard III, the Romanov dynasty members and Nicolaus Copernicus. Contemporary DNA studies, based on next generation DNA sequencing, outreach the narrow area of known markers such as mitochondrial DNA (mtDNA) and selected regions of Y chromosome. Although ancient DNA (aDNA), extracted from remains, is usually highly degraded and contaminated with genetic material of microorganisms, there are methods which allow for the analysis of such material and retrieval of information about origin, kinship and some phenotypic features of an individual. Genetic studies of the Piast dynasty, a subject of our research project, have to deal with numerous difficulties. In or der to gain access to bone samples, we need to meet a number of formal requirements. Moreover, despite the existence of available abundant documentation on the Piast burials, the actual situation is not always consistent with the written sources. Our first experiences show how difficult it is to localize the remains, identify them and extract DNA of sufficient quality.
    Źródło:
    Opolskie Studia Administracyjno-Prawne; 2016, 14, 4 (2); 63-77
    2658-1922
    Pojawia się w:
    Opolskie Studia Administracyjno-Prawne
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-10 z 10

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