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Wyświetlanie 1-15 z 55
Tytuł:
Wieners type regularity criteria on the complex plane
Autorzy:
Siciak, Józef
Powiązania:
https://bibliotekanauki.pl/articles/1294812.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
subharmonic functions
logarithmic potential theory
Green function
regular points
Hölder Continuity Property
Opis:
We present a number of Wiener's type necessary and sufficient conditions (in terms of divergence of integrals or series involving a condenser capacity) for a compact set E ⊂ ℂ to be regular with respect to the Dirichlet problem. The same capacity is used to give a simple proof of the following known theorem [2, 6]: If E is a compact subset of ℂ such that $d(t^{-1}E ∩ {|z-a| ≤ 1}) ≥ const > 0$ for 0 < t ≤ 1 and a ∈ E, where d(F) is the logarithmic capacity of F, then the Green function of ℂ \ E with pole at infinity is Hölder continuous.
Źródło:
Annales Polonici Mathematici; 1997, 66, 1; 203-221
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The problem of external decomposition of a complex plane with three poles
Problem ekstremalnego rozkładu płaszczyzny zespolonej z dowolnymi biegunami
Autorzy:
Bakhtin, Aleksandr
Vyhivska, Liudmyla
Powiązania:
https://bibliotekanauki.pl/articles/1837649.pdf
Data publikacji:
2021-08-12
Wydawca:
Łódzkie Towarzystwo Naukowe
Tematy:
inner radius of domain
non-overlapping domains
radial system of points
separating transformation
quadratic differential
Green’s function
wewnętrzny promień obszaru
rozłączne obszary
promieniowy system punktów
transformacja rozdzielająca
różniczka kwadratowa
funkcja Greena
Opis:
Although much research (f. e. [1], [3], [5], [7–15]) has been devoted to the extremal problems of a geometric function theory associated with estimates of functionals defined on systems of non-overlapping domains, however, in the general case the problems remain unsolved. The paper describes the problem of finding the maximum of a functional. This problem is to find a maximum of the product of inner radii of mutually non-overlapping symmetric domains with respect to a unit circle and the inner radius in some positive certain degree of the domain with respect to zero and description of extreme configurations. The topic of the paper is devoted to the study of the problem of the classical direction of the geometric theory of complex variable functions, namely, the extremal problems for non-overlapping domains
Chociaż wiele badań (zob. [1], [3], [5], [7–15]) zostało poświęconych problemom ekstremalnym geometrycznej teorii funkcji, związanych z oszacowaniem funkcjonałów zdefiniowanych na układach rozłącznych obszarów, to jednak w ogólnym przypadku problemy te pozostają nadal otwarte. Praca opisuje problem znalezienia maksimum pewnego funkcjonału. Ten problem, to znalezienie maksimum iloczynu wewnętrznych promieni wzajemnie rozłącznych symetrycznych obszarów (względem okręgu jednostkowego) i wewnętrznego promienia w pewnej dodatniej potędze w obszarze względem zera oraz opis tych ekstremalnych konfiguracji. Tematem pracy jest badanie problemu z klasycznych zagadnień geometrycznej teorii funkcji, a mianowicie problemów ekstremalnych w wzajemnie rozłącznych obszarach
Źródło:
Bulletin de la Société des Sciences et des Lettres de Łódź, Série: Recherches sur les déformations; 2020, 70, 1; 145-152
1895-7838
2450-9329
Pojawia się w:
Bulletin de la Société des Sciences et des Lettres de Łódź, Série: Recherches sur les déformations
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Practice of Green HRM in Poland – with the Focus on Elements of the HR Function
Autorzy:
Piwowar-Sulej, Katarzyna
Powiązania:
https://bibliotekanauki.pl/articles/2166149.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
sustainable human resource development
sustainable HR function
green practices
pro-ecological practices
Opis:
Theoretical background: Employees’ behavior plays a crucial role in the organizational environmental performance. There are many factors which influence pro-ecological behavior among employees, however, this paper focuses on the practices related to green human resources management (HRM) and – in particular – to the HR function.Purpose of the article: The purpose of this paper is to answer the following research questions: 1) What is the scope of using the practices related to the green HR function? 2) Which elements of the green HR function require further improvement?Research methods: For the purpose of the article, literature studies and empirical research based on a survey method have been used. In her analyses, the author has included additional variables such as the origin of capital and company size.Main findings: The organizations under study are in the preliminary stages as far as the implementation of green HRM practices is concerned. Both variables (the company size and the origin of capital) play a role in the implementation of the analyzed practices.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio H – Oeconomia; 2021, 55, 2; 75-84
0459-9586
2449-8513
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio H – Oeconomia
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Surface Green’s function of a soft elastomer with the gravity effect
Autorzy:
Liang, Xiaodong
Liu, Junxiu
Xu, Peibao
Li, Kai
Powiązania:
https://bibliotekanauki.pl/articles/280502.pdf
Data publikacji:
2020
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
surface Green’s function
gravity
distributed pressure
soft materials
neo-Hookean model
Opis:
Gravity can play a tremendous effect on deformation of rubberlike materials and biological soft tissues. In this paper, considering the gravity effect, we proposed a surface Green’s function of a soft elastomer based on the neo-Hookean model. The proposed surface Green’s function is applied to analyze the elastic deformation of a soft elastomer subjected to uniform pressure. The surface normal displacement of the soft elastomer is calculated and the results show that gravity has a large impact on the surface deformation of the elastomer. Generally, the surface normal displacement decreases with the increasing gravitational force.
Źródło:
Journal of Theoretical and Applied Mechanics; 2020, 58, 1; 35-44
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some constructions of linear extensions of dynamical systems
Pewne konstrukcje liniowych rozszerzeń układów dynamicznych
Autorzy:
Pączko, D.
Powiązania:
https://bibliotekanauki.pl/articles/87312.pdf
Data publikacji:
2011
Wydawca:
Politechnika Śląska. Wydawnictwo Politechniki Śląskiej
Tematy:
układ dynamiczny
rozszerzenie liniowe
równanie różniczkowe
funkcja Greena
dynamical system
linear extension
differential equation
Green function
Opis:
The paper presents a method to transform two weakly regular systems to one regular system. Additionally, it is proved that there is no linear change of variables reducing the extension of a dynamical system to a conjugate system where the number of normal variables is three.
Wartykule przedstawiono metodę doprowadzenia dwóch układów słabo regularnych do jednego układu regularnego. Dodatkowo pokazano, że niemożliwe jest doprowadzenie liniowego rozszerzenia układu dynamicznego do układu sprzężonego, w przypadku gdy liczba zmiennych normalnych wynosi trzy.
Źródło:
Zeszyty Naukowe. Matematyka Stosowana / Politechnika Śląska; 2011, 1; 37-49
2084-073X
Pojawia się w:
Zeszyty Naukowe. Matematyka Stosowana / Politechnika Śląska
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sign-changing Lyapunov functions in regularity of linear extensions of dynamical systems on a torus
Autorzy:
Tkocz-Piszczek, E.
Powiązania:
https://bibliotekanauki.pl/articles/255119.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
invariant torus
Green's function of a problem of invariant toruses
regularity of linear extensions of dynamical systems
Opis:
In this paper we consider some sign-changing Lyapunov function in research on regularity of sets of linear extensions of dynamical systems on a torus.
Źródło:
Opuscula Mathematica; 2008, 28, 1; 93-101
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Resonant Greens function for Euler-Bernoulli beams by means of the Fredholm Alternative Theorem
Autorzy:
Hozhabrossadati, S. M.
Sani, A. A.
Mofid, M.
Powiązania:
https://bibliotekanauki.pl/articles/973616.pdf
Data publikacji:
2013
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Fredholm Alternative Theorem
modified Green’s function
resonance
Euler-Bernoulli beam
rezonans
Opis:
This paper presents the Green's function for a uniform thin beam which is assumed to obey the Euler-Bernoulli theory at resonant condition. The beam under study has a simple support at one end and a sliding support at the other. First, the differential equation governing the free vibration of the beam is obtained in the frequency domain using the Fourier transform. Then, we try to find the corresponding Green's function of the problem. But a contradiction occurs due to the special properties of resonance. In order to overcome this hurdle, the Fredholm Alternative Theorem is utilized. Remarkably, it is shown that this theorem, by adding a particular term to the Green's function, can remedy this problem and the modified Green's function is consequently established. Moreover, the deformation function of the beam is found in an integral equation form. Some diagrams and tables conclude this study.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 3; 55-67
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Region of existence of multiple solutions for a class of robin type four-point bvps
Autorzy:
Verma, Amit K.
Urus, Nazia
Agarwal, Ravi P.
Powiązania:
https://bibliotekanauki.pl/articles/2052065.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Green’s function
monotone iterative technique
maximum principle
multi-point problem
Opis:
This article aims to prove the existence of a solution and compute the region of existence for a class of four-point nonlinear boundary value problems (NLBVPs) defined as \[ \begin{array}{lr} -u^{\prime\prime}(x) = \psi(x,u,u^{\prime}), & x \in (0,1) \\ u^{\prime}(0) = \lambda_{1}u(\xi), & u^{\prime}(1) = \lambda_{2}u(\eta) \end{array} \] where $I = [0, 1], 0 < \xi \leq \eta < 1 \text{ and } \lambda_{1} ,\lambda_{2} > 0$. The nonlinear source term $\psi \in C(I \times \mathbb{R}^{2}, \mathbb{R})$ is one sided Lipschitz in $u$ with Lipschitz constant $L_{1}$ and Lipschitz in $u^{\prime}$, such that $\vert \psi(x, u, u^{\prime}) - \psi(x, u, v^{\prime})\vert$. We develop monotone iterative technique (MI-technique) in both well ordered and reverse ordered cases. We prove maximum, anti-maximum principle under certain assumptions and use it to show the monotonic behaviour of the sequences of upper-lower solutions. The sufficient conditions are derived for the existence of solution and verified for two examples. The above NLBVPs is linearised using Newton’s quasilinearization method which involves a parameter k equivalent to $\text{max}_{u} \frac{\delta\psi}{\delta_{u}}$. We compute the range of $k$ for which iterative sequences are convergent.
Źródło:
Opuscula Mathematica; 2021, 41, 4; 571-600
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Rapid NEGF-based calculation of ballistic current in ultra-short DG MOSFETs for circuit simulation
Autorzy:
Hosenfeld, F.
Horst, F..
Graef, M.
Farokhnejad, A.
Kloes, A.
Iniguez, B.
Lime, F.
Powiązania:
https://bibliotekanauki.pl/articles/397995.pdf
Data publikacji:
2016
Wydawca:
Politechnika Łódzka. Wydział Mikroelektroniki i Informatyki
Tematy:
ultra-short Double-Gate MOSFET
nonequilibrium Green's function
NEGF
ballistic transport
source-to-drain tunneling
ultra-thin body
UTB
compact model
multi-scale simulation
nierównowagowe funkcje Greena
transport balistyczny
tunelowanie źródło-dren
model kompaktowy
symulacja wieloskalowa
Opis:
Shrinking gate length in conventional MOSFETs leads to increasing short channel effects like source-to-drain (SD) tunneling. Compact modeling designers are challenged to model these quantum mechanical effects. The complexity lies in the set-up between time efficiency, physical model relation and analytical equations. Multi-scale simulation bridges the gap between compact models, its fast and efficient calculation of the device terminal voltages, and numerical device models which consider the effects of nanoscale devices. These numerical models iterate between Poisson- and Schroedinger equation which significantly slows down the simulation performance. The physicsbased consideration of quantum effects like the SD tunneling makes the non-equilibrium Green’s function (NEGF) to a stateof-the-art method for the simulation of devices in the sub 10 nm region. This work introduces a semi-analytical NEGF model for ultra-short DG MOSFETs. Applying the closed-form potential solution of a classical compact model, the model turns the NEGF from an iterative numerical solution into a straightforward calculation. The applied mathematical approximations speed up the calculation time of the 1D NEGF. The model results for the ballistic channel current in DG-MOSFETs are compared with numerical NanoMOS TCAD [1] simulation data. Shown is the accurate potential calculation as well as the good agreement of the current characteristic for temperatures down to 75 K for channel lengths from 6 nm to 20 nm and channel thickness from 1.5 nm to 3 nm.
Źródło:
International Journal of Microelectronics and Computer Science; 2016, 7, 2; 65-72
2080-8755
2353-9607
Pojawia się w:
International Journal of Microelectronics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Quasi-Green’s function approach to fundamental frequency analysis of elastically supported thin circular and annular plates with elastic constraints
Autorzy:
Żur, K. K.
Powiązania:
https://bibliotekanauki.pl/articles/280490.pdf
Data publikacji:
2017
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
quasi-Green's function
ring supports
movable edges
elastic constraints
Opis:
Free vibration analysis of homogeneous and isotropic thin circular and annular plates with discrete elements such as elastic ring supports is considered. The general form of quasi- -Green’s function for thin circular and annular plates is obtained. The nonlinear characteristic equations are defined for thin circular and annular plates with different boundary conditions and different combinations of the core and support radius. The continuity conditions at the ring supports are omitted based on the properties of Green’s function. The fundamental frequency of axisymmetric vibration has been calculated using the Newton-Raphson method and calculation software. The obtained results are compared with selected results presented in literature. The exact frequencies of vibration presented in a non-dimensional form can serve as benchmark values for researchers to validate their numerical methods when applied for uniform thin circular and annular plate problems.
Źródło:
Journal of Theoretical and Applied Mechanics; 2017, 55, 1; 87-101
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Quantum simulations of band-to-band tunnelling in a type-II broken-gap superlattice diode
Autorzy:
Makowiec, Marcin
Kolek, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/2204215.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Stowarzyszenie Elektryków Polskich
Tematy:
type-II superlattice
broken-gap superlattice diode
band-to-band tunnelling
quantum transport
nonequilibrium Green’s function
twoband Hamiltonian
Opis:
In recent years, type-II superlattice-based devices have completed the offer of the electronic industry in many areas of applications. Photodetection is one of them, especially in the midinfrared wavelength range. It is due to the unique feature of a superlattice material, which is a tuneable bandgap. It is also believed that the dark current of superlattice-based photodetectors is strongly suppressed due to the suppression of the band-to-band tunnelling current in a superlattice material. This argument relies, however, on a semi-classical approach that treats superlattice as a bulk material with effective parameters extracted from the k·p analysis. In the paper, a superlattice device is analysed on a quantum level: the nonequilibrium Green’s function method is applied to the two-band Hamiltonian of the InAs/GaSb superlattice p-i-n diode. The analysis concentrates on the band-to-band tunnelling with the aim to validate the correctness of a semi-classical description of the phenomenon. The results of calculations reveal that in a superlattice diode, the inter-band tunnelling occurs only for certain values of energy and in-plane momentum, for which electronic and hole sub-bands cross. The transitions occurring for vanishing in-plane momentum produce resonances in the current-voltage characteristics - the feature which was reported in a few experimental observations. This scenario is quite different from that occurring in bulk materials, where there is a range of energy-momentum pairs for which the band-to-band tunnelling takes place, and so current-voltage characteristics are free from any resonances. However, simulations show that, while not justified for a detailed analysis, the semi-classical description can be applied to superlattice-based devices for an ‘order of magnitude’ estimation of the band-to-band tunnelling current.
Źródło:
Opto-Electronics Review; 2023, 31, Special Issue; art. no. e144558
1230-3402
Pojawia się w:
Opto-Electronics Review
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Problem on extremal decomposition of the complex plane
O problemie ekstremalnej dekompozycji płaszczyzny zespolonej
Autorzy:
Denega, Iryna
Powiązania:
https://bibliotekanauki.pl/articles/699882.pdf
Data publikacji:
2018
Wydawca:
Łódzkie Towarzystwo Naukowe
Tematy:
inner radius of domain, non-overlapping domains, radial system of points, separating transformation, quadratic differential, Green’s function
promień wewnętrzny obszaru, ekstremalna dekompozycja płaszczyzny zespolonej
Opis:
https://doi.org/10.26485/0459-6854/2018/68.3/6 Rozpatrujemy funkcjonał określony na układzie niezachodzących na siebie obszarów. Wynik dotyczy problemu Dubinina-poszukiwania maksimum iloczynu promieni wpisanych kół w niezachodzące na siebie obszary zawierające punkty okręgu jednostkowego i potęgę promienia wpisanego kola w obszar zawierający początek układu współrzędnych. Problem został sformułowany w 1994r. w pracy Dubinina, a następnie powtórzony w monografii tegoż autora z roku 2014. Problem nie jest rozwiązany w ogólnym przypadku. W obecnej pracy problem w postaci dotyczącej bardziej ogólnego układu punktów jest uzyskany dla pewnych konkretnych wartości n oraz y.
https://doi.org/10.26485/0459-6854/2018/68.3/6  The paper is devoted to one extremal problem in geometric function theory of complex variables associated with estimates of functionals defined on the systems of non-overlapping domains. We consider Dubinin’s problem of the maximum of product of inner radii of n non-overlapping domains containing points of the unit circle and the power of the inner radius of a domain containing the origin. The problem was formulated in 1994 in the work of Dubinin and then repeated in his monograph in 2014. Currently it is not solved in general. In this paper we generalized it to the case of the more general system of points and obtained a solution of this problem for some concrete values of n and y.
Źródło:
Bulletin de la Société des Sciences et des Lettres de Łódź, Série: Recherches sur les déformations; 2018, 68, 3
1895-7838
2450-9329
Pojawia się w:
Bulletin de la Société des Sciences et des Lettres de Łódź, Série: Recherches sur les déformations
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Prediction of ship motions via a three-dimensional time-domain method following a quad-tree adaptive mesh technique
Autorzy:
Zhang, Teng
Ren, Junsheng
Liu, Lu
Powiązania:
https://bibliotekanauki.pl/articles/259860.pdf
Data publikacji:
2020
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
Froude-Krylov forces
adaptive mesh technique
analytical
transient free surface Green function
precise integration method
Opis:
A three-dimensional (3D) time-domain method is developed to predict ship motions in waves. To evaluate the Froude- Krylov (F-K) forces and hydrostatic forces under the instantaneous incident wave profile, an adaptive mesh technique based on a quad-tree subdivision is adopted to generate instantaneous wet meshes for ship. For quadrilateral panels under both mean free surface and instantaneous incident wave profiles, Froude-Krylov forces and hydrostatic forces are computed by analytical exact pressure integration expressions, allowing for considerably coarse meshes without loss of accuracy. And for quadrilateral panels interacting with the wave profile, F-K and hydrostatic forces are evaluated following a quad-tree subdivision. The transient free surface Green function (TFSGF) is essential to evaluate radiation and diffraction forces based on linear theory. To reduce the numerical error due to unclear partition, a precise integration method is applied to solve the TFSGF in the partition computation time domain. Computations are carried out for a Wigley hull form and S175 container ship, and the results show good agreement with both experimental results and published results.
Źródło:
Polish Maritime Research; 2020, 1; 29-38
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Polynomial inequalities on algebraic sets
Autorzy:
Baran, M.
Pleśniak, W.
Powiązania:
https://bibliotekanauki.pl/articles/1206008.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Bernstein-Walsh and tangential Markov type inequalities on algebraic sets
pluricomplex Green function
traces of polynomials on algebraic sets
Siciak's extremal function
Opis:
We give an estimate of Siciak's extremal function for compact subsets of algebraic varieties in $ℂ^n$ (resp. $ℝ^n$). As an application we obtain Bernstein-Walsh and tangential Markov type inequalities for (the traces of) polynomials on algebraic sets.
Źródło:
Studia Mathematica; 2000, 141, 3; 209-219
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Phonon-Induced Thermodynamic Properties of Ultra-narrow Wires
Autorzy:
Ilić, D.
Šetrajčić, J.
Jaćimovski, S.
Powiązania:
https://bibliotekanauki.pl/articles/1029824.pdf
Data publikacji:
2018-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
Phonons
ultra-narrow wire
the Green function
thermodynamics
specific heat
Opis:
In this paper, we investigated the influence of size effect on thermodynamic properties of ultra-narrow wires with a simple cubic lattice, by means of two-time dependent Green functions method, adjusted to confined crystalline structures. Poles of Green functions, which defining phonon spectra, are found by solving the secular equation. For different boundary parameters, this problem is presented graphically. The temperature behavior of ultra-narrow wire thermal capacitance is compared to that of bulk structures. It turned out that in low-temperature region thermal capacitance of the ultra-narrow wire is notably lower than in the corresponding bulk sample. How this fact reflects the thermal, conducting and superconducting properties of materials, is discussed in the conclusion.
Źródło:
Acta Physica Polonica A; 2018, 133, 1; 57-62
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
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