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Tytuł:
Taxes on Agritourist Services
Podatki od usług agroturystycznych
Налоги на услуги агротуризма
Autorzy:
Roman, Michał
Powiązania:
https://bibliotekanauki.pl/articles/563505.pdf
Data publikacji:
2014
Wydawca:
Polski Instytut Ekonomiczny
Tematy:
tax
agritourist business
tax on agritourist services
podatek
agroturystyka
podatek od usług agroturystycznych
налог
агротуристская предпринимательская деятельность
налог на доходы с агротуризма
Opis:
In his article, the author presents the selected forms of taxation imposed on agritourist services. In the case of personal income tax, the law envisages several methods of taxation on income from agritourist services, e.g. personal income tax paid in accordance with general rules, flat rate tax, tax card, and lump-sum tax on registered revenue. As far as value added tax is concerned, in general, agritourist farms are exempt from this tax.
W swym artykule autor przedstawia wybrane formy opodatkowania usług agroturystycznych. W przypadku podatku dochodowego od osób fizycznych ustawa przewiduje kilka metod opodatkowania dochodów z usług agroturystycznych, np. podatek dochodowy od osób fizycznych płacony zgodnie z ogólnymi przepisami, podatek liniowy, kartę podatkową i podatek zryczałtowany od przychodów ewidencjonowanych. Jeżeli chodzi o podatek od wartości dodanej (VAT), to z reguły gospodarstwa agroturystyczne są zwolnione z tego podatku.
В своей статье автор представляет избранные формы налогообложения услуг агротуризма. В случае налогов на доходы физических лиц законом предусматривается несколько методов налогообложения доходов от услуг агротуризма, напр., налог на доходы физических лиц, оплачиваемый в соответствии с общими правилами, пропорциональное налогообложение, налогообложение в виде налоговой карты и фиксированного налога на регистрированный доход. Что же касается налога на добавленную стоимость, то, как правило, агротуристские хозяйства освобождены от этого налога.
Źródło:
Handel Wewnętrzny; 2014, 6 (353); 292-298
0438-5403
Pojawia się w:
Handel Wewnętrzny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Renewable energy resources in students’ opinions
Autorzy:
Roman, Michał
Powiązania:
https://bibliotekanauki.pl/articles/470480.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Kardynała Stefana Wyszyńskiego w Warszawie
Tematy:
renewable energy resources
secondary school students
university students
Warsaw University of Life Sciences
Jadwiga Dziubińska Agricultural Education Centre Schools in Golądkowo
Opis:
The article aims to present the research findings regarding the level of knowledge the students of Warsaw University of Life Sciences and the students of Jadwiga Dziubińska Agricultural Education Centre Schools in Golądkowo have about renewable energy resources. The research shows that the university and secondary school students are most knowledgeable about solar energy and wind power. The students whose field of studies is Renewable Energy Technologies demonstrate more knowledge of geothermal energy, biogas or biomass. Most respondents acquire knowledge about renewable energy resources from the Internet and television while the students of Renewable Energy Technologies acquire their knowledge in the course of their studies. The respondents believe that the production of energy from renewable sources is safe for the environment and human health. But most respondents, including the secondary school and university students, think that biogas is harmful for the environment and human health. Almost three fourth of the respondents are most willing to use solar energy. The second most popular source of energy is wind power. According to the respondents, the advantages of the investments are the protection of the environment and reduction of greenhouse gases emission. A big proportion of the students of Renewable Energy Technologies are for becoming independent of the increasing prices of fossil fuels. The research shows that, in the students’ opinion, wind power and solar energy development is most prospective in Poland. The students of Renewable Energy Technologies believe that there are big opportunities for biomass development in Poland.
Źródło:
Studia Ecologiae et Bioethicae; 2015, 13, 3; 49-63
1733-1218
Pojawia się w:
Studia Ecologiae et Bioethicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Agritourism in academic research: Literature review and cluster analysis
Autorzy:
Roman, Michał
Kawęcki, Norbert
Powiązania:
https://bibliotekanauki.pl/articles/52057916.pdf
Data publikacji:
2024
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
agritourism
rural tourism
literature review
cluster analysis
co-word
Opis:
The aim of the article is to review the current literature in the field of agritourism. The data for the analysis was collected from the Web of Science database from 1990–2022: a total of 1,834 bibliometric publication records. The article presents both quantitative and qualitative analysis. The results indicated five main research areas: (a) the impact of the attitudes of the community on the perception and management of ecotourism and agritourism; (b) the impact of models of the perception of the quality of services in agritourism on customer satisfaction; (c) the quality of services and tourist culinary experiences that motivate the choice of agritourism destinations; (d) the typology of agritourism farms and their differentiation in the development of rural tourism; (e) the impact of state policy on the management of rural tourism and agritourism. The limitations of the conducted research, which mainly concern the methodological part, should also be borne in mind: including the selected publication database, and search criteria such as publication year or language.
Źródło:
Turyzm; 2024, 34, 1; 45-55
0867-5856
2080-6922
Pojawia się w:
Turyzm
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The estimation of CO2 storage potential of a gas-bearing shale succession at the early stage of reservoir characterization : a case study from the Baltic Basin (Poland)
Autorzy:
Wójcicki, Adam
Jarosiński, Marek
Roman, Michał
Powiązania:
https://bibliotekanauki.pl/articles/2058853.pdf
Data publikacji:
2021
Wydawca:
Państwowy Instytut Geologiczny – Państwowy Instytut Badawczy
Tematy:
carbon dioxide
storage capacity assessment
shale gas reservoir
sorption
pores
fractures
Opis:
Estimation of the CO2 storage potential of gas-bearing shales in the Lower Paleozoic Baltic Basin is at an early stage of reservoir exploration and production, based on data from one vertical exploration borehole, supplemented with some information from adjacent boreholes. The borehole section examined is 120 m long and comprises three intervals enriched with organic matter separated by organic-poor intervals. In our approach, the storage capacity is represented by: (1) sorption potential of organic matter, (2) open pore space and (3) potential fracture space. The potential for adsorbed CO2 was determined from Langmuir isotherm parameters taken from laboratory measurements and recalculated from CH4 adsorption curves. The pore space capacity was estimated in two ways: by utilizing results of laboratory measurements of dynamic capacity for pores >100 nm and using results of helium porosimetry, the first of these being considered as the most relevant. Due to the low permeability of the shale matrix we have adopted the standard assumption that the CO2 is able to reach effectively only 10% of the theoretical total sorption and pore volume. For hydraulic fracture space, the theoretical maximum opening of vertical fractures in the direction of minimum horizontal stress was considered, decreased by the expected portion of fracturing fluid flowback and by partial fracture closure by burial compaction. The effectiveness of three CO2 storage categories for the individual organic-rich and organic-poor shale units shows an obvious positive correlation of TOC content with the storage efficiency by sorption and within pore space, and a negative correlation with the storage efficiency in hydraulic fractures. It was estimated that sorption, over the maximum storage interval (120 m thick), is responsible for ~76% of total storage capacity, pore space accounts for 13% (for the most relevant porosity model) while the contribution of fractures is about 11%. In the minimum storage interval (35 m thick, including the best quality shales) the estimated proportions of sorption, pore space and fractures in the total storage capacity are 84, 10 and 6% respectively. Finally, the result for the best quality storage interval (35 m thick) was compared with the Marcellus Shale of similar thickness (average ~38 m) and with other options of CO2 storage in Poland. The most organic-rich units in the area studied have a CO2 storage capacity efficiency (i.e. storage capacity per volume unit of shale) only slightly less than average for the Marcellus Shale, because sorption capacity – the dominant component – is comparable in both cases. However, the open pore space capacity in the Marcellus Shale appears to be far higher, even if the potential fracture space calculated for the borehole studied is taken into consideration, probably because the free gas content in the Marcellus Shale is far higher than in the Baltic Basin. CO2 storage in depleted shale gas wells is not a competitive solution compared to storage in saline aquifer structures or in larger hydrocarbon fields.
Źródło:
Geological Quarterly; 2021, 65, 1; 3
1641-7291
Pojawia się w:
Geological Quarterly
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Prospective zones of unconventional hydrocarbon reservoirs in the Cambrian, Ordovician and Silurian shale formations of the East European Craton marginal zone in Poland
Autorzy:
Podhalańska, Teresa
Feldman-Olszewska, Anna
Roszkowska-Remin, Joanna
Janas, Marcin
Pachytel, Radomir
Głuszyński, Andrzej
Roman, Michał
Powiązania:
https://bibliotekanauki.pl/articles/2059664.pdf
Data publikacji:
2020
Wydawca:
Państwowy Instytut Geologiczny – Państwowy Instytut Badawczy
Tematy:
unconventional hydrocarbon systems
prospective zones
Lower Paleozoic
East European Craton
Polska
Opis:
The paper presents the latest state of knowledge on the vertical and lateral ranges and characteristics of prospective zones (PZ) within the Lower Paleozoic unconventional hydrocarbon systems in the Baltic-Podlasie-Lublin Basin (Poland). The PZ were identified within the prospective formations based on rigorously determined criteria with the application of stratigraphic, sedimentological, mineralogical, petrographic, geochemical, petrophysical, and geomechanical studies, and interpretations of borehole logs. Archival geological data and information acquired from boreholes drilled recently in concession areas have also been applied in the interpretations. Following these criteria, four prospective zones have been distinguished. The deposits encompass partly or almost completely the Piaśnica, Sasino, and Jantar formations and the lower part of the Pelplin Formation. The characteristic feature of the Lower Paleozoic deposits at the East European Craton (EEC) margin in Poland is the diachronous appearance of the Sasino and Jantar black shale formations from west to east. The Baltic area is most prospective for the occurrence of unconventional hydrocarbon reservoirs in shale formations, specifically the Łeba Elevation, where all 4 prospective zones have been distinguished. The occurrence of liquid and gaseous hydrocarbons is expected in all zones. Due to the very high TOC content and geochemical characteristics, the Piaśnica Formation within PZ1 is the main petroleum source rock in the Polish part of the Baltic Basin. PZ2 (partly corresponding to the Sasino Formation) present in a large part of the Baltic Basin, is the next important prospective unit, despite not being uniform. PZ3 within the Jantar Formation was distinguished only on a limited area of the Łeba Elevation. Due to the low content of organic matter, the Lublin area is characterized by the lowest hydrocarbon potential. However, low values of that parameter are compensated by a greater thickness and lateral range of PZ4, partly corresponding to the Pelplin Formation. Comparison with other areas within the Lower Paleozoic Baltic Basin reveals the occurrence of shale deposits that may constitute a potential source of hydrocarbons, and that demonstrate diachronism. Towards the east and south-east, ever younger deposits possess the potential for hydrocarbon accumulations. In Poland, in the western part of EEC, these are: the Furongian and the Lower Tremadocian Piaśnica Formation, the Sandbian and Katian Sasino Formation and the Lower/Middle Llandovery (Rhuddanian and Aeronian) Jantar Formation. In the central part of the Baltic Basin (Lithuania), these are the Upper Ordovician and Aeronian shale successions. In the southeastern part of the basin (Ukraine), the Ludlow strata are considered to be the most promising in terms of the potential unconventional hydrocarbons accumulations.
Źródło:
Geological Quarterly; 2020, 64, 2; 342--376
1641-7291
Pojawia się w:
Geological Quarterly
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Participatory budget in metropolies as instrument of direct democracy in public management: experience of Poland and Ukraine
Autorzy:
Kudłacz, Michał
Zhebchuk, Roman
Powiązania:
https://bibliotekanauki.pl/articles/903912.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Ekonomiczny w Krakowie, Małopolska Szkoła Administracji Publicznej
Tematy:
participatory budget
public management
civil society
local authorities
city development policy
Opis:
Objectives: In the article a comparative research of the participatory budgeting systems at the local level in Poland and Ukraine was carried out. Research Design & Methods: The objects of the study were ten cities of the specified states (five from each country). In the case studies, systemic analysis of legislations of Poland and Ukraine in public finance sphere connected with participatory budgeting were used as well as quantitative analyses of budget resources directed at supporting participatory budget. Using this approach gave us the opportunity for complex research of participatory budgeting mechanism in both countries. Findings: As a result of the research, the peculiarities (differences) of the practice of using participatory budgets as tools of direct democracy at the Ukrainian and Polish cities’ level were specified. On this basis, the authors outlined obstacles for the efficient use of participatory budgets based on the experience of the two countries, formulated guidelines and standards in compliance with which it would be possible to implement quality participatory budgeting into practices of the cities’ public administration. Implications / Recommendations: This article indicates the need to conduct analyzes of participatory budgets to draw conclusions and effectively use this tool in the future. Contribution / Value Added: This research builds knowledge about participatory budgeting by analysing the use of this instrument of direct democracy in two different countries (Poland and Ukraine), which are at different level of EU integration an may help effectively plan and implement participatory budgeting in different national contexts.
Źródło:
Zarządzanie Publiczne / Public Governance; 2019, 3(49); 63-76
1898-3529
2658-1116
Pojawia się w:
Zarządzanie Publiczne / Public Governance
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
THE IMPACT OF SALES SERVICE IN MAREA TRADING SIMULATION UNDER CHANGING ENVIRONMENT CIRCUMSTANCES
Autorzy:
Sperka, Roman
Halaska, Michal
Powiązania:
https://bibliotekanauki.pl/articles/517150.pdf
Data publikacji:
2017
Wydawca:
Instytut Badań Gospodarczych
Tematy:
multi-agent system
simulation
model
trading
MAREA
Opis:
Research background: Managerial scientists use a lot of modelling techniques for business processes. In this paper we are focused on agent-based modelling and simulations, which emerged in the last two decades as a new approach. Autonomous and interacting intelligent agents are able to model and simulate complex systems in the business sphere. With the use of agent-based modelling and simulations we are able to understand how macro level outcomes are affected by micro level processes and vice versa. Purpose of the article: The purpose of the paper is to introduce recent development in the area of agent-based modelling and simulations focused on the business domain. Managers often have to make difficult decisions under the uncertainty and high risks. Agent-based modelling can provide powerful tools for lowering those risks through a possibility of running experiments, which is normally impossible in economics. In the second part we want to support the usefulness of agent-based simulations with our own simulations. Methods: The method used in this article is an agent-based simulation in a multi-agent system. We use a framework called MAREA. It is a simulation environment with integrated ERP system based on REA ontology. Our simulation model is based on a retail company that sells electronics. For simplicity, in our setup we trade with computer cables. Findings & Value added: In our simulations we experimented with the quality of sales service provided by company’s sales representatives. We investigated the impact of quality of sales service on company KPIs under the changing environment circumstances represented by disturbance agent. The quality of sales service is a part of quality of service and thus it affects the perception of brand and loyalty of customers towards the company. In our simulation setup we work with two types of customers, long-term customers and new ones. The result is that quality of sales service has mostly positive effects on company KPIs.
Źródło:
Equilibrium. Quarterly Journal of Economics and Economic Policy; 2017, 12, 2; 355-371
1689-765X
2353-3293
Pojawia się w:
Equilibrium. Quarterly Journal of Economics and Economic Policy
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Performance of an automated process model discovery – the logistics process of a manufacturing company
Autorzy:
Halaška, Michal
Šperka, Roman
Powiązania:
https://bibliotekanauki.pl/articles/125503.pdf
Data publikacji:
2019
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
process mining
automated process discovery
simulation
agent-based simulation
ABS
górnictwo procesowe
automatyczne wykrywanie procesów
symulacja
symulacja zorientowana agentowo
Opis:
The simulation and modelling paradigms have significantly shifted in recent years under the influence of the Industry 4.0 concept. There is a requirement for a much higher level of detail and a lower level of abstraction within the simulation of a modelled system that continuously develops. Consequently, higher demands are placed on the construction of automated process models. Such a possibility is provided by automated process discovery techniques. Thus, the paper aims to investigate the performance of automated process discovery techniques within the controlled environment. The presented paper aims to benchmark the automated discovery techniques regarding realistic simulation models within the controlled environment and, more specifically, the logistics process of a manufacturing company. The study is based on a hybrid simulation of logistics in a manufacturing company that implemented the AnyLogic framework. The hybrid simulation is modelled using the BPMN notation using BIMP, the business process modelling software, to acquire data in the form of event logs. Next, five chosen automated process discovery techniques are applied to the event logs, and the results are evaluated. Based on the evaluation of benchmark results received using the chosen discovery algorithms, it is evident that the discovery algorithms have a better overall performance using more extensive event logs both in terms of fitness and precision. Nevertheless, the discovery techniques perform better in the case of smaller data sets, with less complex process models. Typically, automated discovery techniques have to address scalability issues due to the high amount of data present in the logs. However, as demonstrated, the process discovery techniques can also encounter issues of opposite nature. While discovery techniques typically have to address scalability issues due to large datasets, in the case of companies with long delivery cycles, long processing times and parallel production, which is common for the industrial sector, they have to address issues with incompleteness and lack of information in datasets. The management of business companies is becoming essential for companies to stay competitive through efficiency. The issues encountered within the simulation model will be amplified through both vertical and horizontal integration of the supply chain within the Industry 4.0. The impact of vertical integration in the BPMN model and the chosen case identifier is demonstrated. Without the assumption of smart manufacturing, it would be impossible to use a single case identifier throughout the entire simulation. The entire process would have to be divided into several subprocesses.
Źródło:
Engineering Management in Production and Services; 2019, 11, 2; 106-118
2543-6597
2543-912X
Pojawia się w:
Engineering Management in Production and Services
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Geochemistry of surface sediments of a coastal Lake Sarbsko (northern Poland)
Autorzy:
Woszczyk, Michał
Cieśliński, Roman
Spychalski, Waldemar
Powiązania:
https://bibliotekanauki.pl/articles/2026076.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
coastal lake
lake sediment geochemistry
Gardno-Łeba Coastal Plain
southern Baltic
Polska
Opis:
The main goal of the pre sented re search was to in ves ti gate spa tial dis tri bu tion of sur face sed i ments and to rec og nize re la tion ships be tween chem i cal com po si tion of wa ter and sed i ments in a coastal Lake Sarbsko (north ern Po land). The Lake Sarbsko is a fresh wa ter ba sin. The wa ter col umn is well ox y gen ated and wa ters ex hibit only mi nor spa tial vari - abil ity of chem i cal com po si tion in di cat ing rapid and good mix ing. Sur face sed i ments of Lake Sarbsko are strongly di - ver si fied with re spect to chem i cal com po si tion. The sed i ments of Lake Sarbsko are char ac ter ized by el e vated con tent of terrigenous sil ica in di cat ing en hanced in put of clastic ma te rial from the wa ter shed and/or in creased dy nam ics of the lake wa ters. More over, SiO2ter is strongly neg a - tively cor re lated with SiO2biog, or ganic mat ter and el e ment con tents, which ar gues for di lut ing ef fect of the for mer to - wards authigenic com po nents of sed i ments. Ba si cally, terrigenous sil ica (quartz) con tent is high est in the lake shores and de clines to wards the lake cen ter. Biogenic sil ica, or ganic mat ter and most of el e ments dis play re versed ten dency. CaCO3 was en coun tered in three iso lated ar eas, where it co-oc curs with FeS. It is an tic i pated that pre cip i ta tion of cal - cite in Lake Sarbsko re sulted from postdepositional pro cesses. Spa tial dis tri bu tion of Fe, Mn, Ca, Mg, Na and K in Lake Sarbsko is also gov erned by their geo chem i cal af fin i ties to or ganic mat ter (Fe), Fe/Mn ox ides (Fe, Mn), sulphides (Fe), clay min er als (Na, K, Mg, Mn) and car bon ates (Ca, Mn).
Źródło:
Studia Quaternaria; 2009, 26; 41-53
1641-5558
2300-0384
Pojawia się w:
Studia Quaternaria
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/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:
Analysis of the Influence of Support During Measurement Using Coordinate Measuring Techniques
Autorzy:
Michalski, Roman
Wieczorowski, Michał
Glazowski, Przemysław
Gapiński, Bartosz
Powiązania:
https://bibliotekanauki.pl/articles/102124.pdf
Data publikacji:
2019
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
coordinate measuring machine
CMM
MES
fulcrum
mounting for measurement
statistical analysis
machining center
współrzędnościowa maszyna pomiarowa
punkt podparcia
montaż do pomiaru
analiza statystyczna
centrum obróbcze
Opis:
The article presents the analysis of the influence of various fixtures of the Y-axis slide of the CMX 70U machining center measured in a coordinate measuring machine. As a result of a series of measurements of the designated geometric features, specific deviations were determined, and statistical calculations were performed on their basis. The further part of the article shows the analysis of the theoretical body deflection under the influence of the force of gravity performed using the MES method in CREO Simulate.
Źródło:
Advances in Science and Technology. Research Journal; 2019, 13, 4; 22-29
2299-8624
Pojawia się w:
Advances in Science and Technology. Research Journal
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
Wyświetlanie 1-15 z 28

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