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Wyniki wyszukiwania dla: ANISOTROPIC ORLICZ–SOBOLEV SPACE EULER–LAGRANGE EQUATIONS VARIATIONAL FUNCTIONAL MOUNTAIN PASS THEOREM PALAIS–SMALE CONDITION
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Coupled nonlinear Schrödinger equations in optic fibers theory
PublikacjaIn this paper a detailed derivation and numerical solutions of CoupledNonlinear Schr¨odinger Equations for pulses of polarized electromagnetic wavesin cylindrical fibers has been reviewed. Our recent work has been compared withsome previous ones and the advantage of our new approach over other methods hasbeen assessed. The novelty of our approach lies is an attempt to proceed withoutloss of information within the frame of basic...
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Simple sufficient condition for subspace to be completely or genuinely entangled
PublikacjaWe introduce a simple sufficient criterion, which allows one to tell whether a subspace of a bipartite or multipartite Hilbert space is entangled. The main ingredient of our criterion is a bound on the minimal entanglement of a subspace in terms of entanglement of vectors spanning that subspace expressed for geometrical measures of entanglement. The criterion is applicable to both completely and genuinely entangled subspaces. We...
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Dynamic mass measurement in checkweighers using a discrete time-variant low-pass filter
PublikacjaConveyor belt type checkweighers are complex mechanical systems consisting of a weighing sensor (strain gauge load cell, electrodynamically compensated load cell), packages (of different shapes, made of different materials) and a transport system (motors, gears, rollers). Disturbances generated by the vibrating parts of such a system are reflected in the signal power spectra in a form of strong spectral peaks, located usually in...
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Positive solutions to advanced fractional differential equations with nonlocal boundary conditions
PublikacjaWe study the existence of positive solutions for a class of higher order fractional differential equations with advanced arguments and boundary value problems involving Stieltjes integral conditions. The fixed point theorem due to Avery-Peterson is used to obtain sufficient conditions for the existence of multiple positive solutions. Certain of our results improve on recent work in the literature.
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Emergency condition of the ceramic facade of a residential building
PublikacjaThe paper presents a description of the technical condition of the ceramic cladding of a residential building, the technical condition of which deteriorated significantly after only a few years of operation. The analysis of the influence of the applied design and working solutions on the façade failure frequency was analyzed. The article presents a conceptual solution to bring the building to the proper technical condition in terms...
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Emergency condition of the ceramic facade of a residential building
PublikacjaThe paper presents a description of the technical condition of the ceramic cladding of a residential building, the technical condition of which deteriorated significantly after only a few years of operation. The analysis of the influence of the applied design and working solutions on the façade failure frequency was analyzed. The article presents a conceptual solution to bring the building to the proper technical condition in terms...
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Advances in Functional Materials Summer School 2023
Kursy OnlineOur summer school on “Advances in Functional Materials” aims to bring together young scientists (Ph.D. and MSc students) with renowned specialists in materials engineering. Experts from academia, research units, and industry will deliver lectures, tutorials, and laboratory classes so that you can practice what you have learned. We divided the program into five main thematic topics: 1) Superconducting materials, 2) Additive manufacturing, 3)...
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Necessary and Sufficient Condition for State-Independent Contextual Measurement Scenarios
PublikacjaThe problem of identifying measurement scenarios capable of revealing state-independent contextuality in a given Hilbert space dimension is considered. We begin by showing that for any given dimension d and any measurement scenario consisting of projective measurements, (i) the measure of contextuality of a quantum state is entirely determined by its spectrum, so that pure and maximally mixed states represent the two extremes...
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Condition monitoring of energy installations IDESII
Kursy OnlineMeasurement errors and uncertainties. Industrial measurements in the energy industry. Measuring devices. The basics of control in industry. Measurement characteristics in complex energy systems. Distributed Control System (DCS) (KSR).
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Modelling tunnelling-induced deformation in stiff soils with a hyperelastic–plastic anisotropic model
PublikacjaIn this paper, the tunnelling-induced deformation in anisotropic stiff soils is analysed using FE modelling. The influence of material description is investigated rather than an advanced simulation of the tunnelling method. A new hyperelastic– plastic model is proposed to describe the anisotropic mechanical behaviour of stiff highly overconsolidated soil. This model can reproduce the superposition of variable stress-induced anisotropy...
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On the Existence of Homoclinic Type Solutions of a Class of Inhomogenous Second Order Hamiltonian Systems
PublikacjaWe show the existence of homoclinic type solutions of a class of inhomogenous second order Hamiltonian systems, where a C1-smooth potential satisfies a relaxed superquadratic growth condition, its gradient is bounded in the time variable, and a forcing term is sufficiently small in the space of square integrable functions. The idea of our proof is to approximate the original system by time-periodic ones, with larger and larger...
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SPACE WEATHER-THE INTERNATIONAL JOURNAL OF RESEARCH AND APPLICATIONS
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On the generalized model of shell structures with functional cross-sections
PublikacjaIn the present study, a single general formulation has been presented for the analysis of various shell-shaped structures. The proposed model is comprehensive and a variety of theories can be used based on it. The cross-section of the shell structure can be arbitrarily analyzed with the presented equations. In other words, various types of shell structures, including cylindrical, conical, spherical, elliptical, hyperbolic, parabolic,...
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Arithmetic Loophole in Bell's Theorem: Overlooked Threat to Entangled-State Quantum Cryptography
PublikacjaBell’s theorem is supposed to exclude all local hidden-variable models of quantum correlations. However,an explicit counterexample shows that a new class of local realistic models, based on generalized arith-metic and calculus, can exactly reconstruct rotationally symmetric quantum probabilities typical oftwo-electron singlet states. Observable probabilities are consistent with the usual arithmetic employedby macroscopic observers...
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Art of Space – Art in Space / The Role of Sound Art in Public
PublikacjaThe article presents a discussion of the crossroad between art and architecture. It sketches out the theoretical and practical aspects of space revitalisation and improving its quality in the context of multisensory dimension of public spaces. The unique manifestation of art and creativity in public space could be detected and stimulated using participatory architecture, for instance interactive installations, projects related...
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Anti-plane shear waves in an elastic strip rigidly attached to an elastic half-space
PublikacjaWe consider the anti-plane shear waves in a domain consisting of an infinite layer with a thin coating lying on an elastic half-space. The elastic properties of the coating, layer, and half-space are assumed to be different. On the free upper surface we assume the compatibility condition within the Gurtin–Murdoch surface elasticity, whereas at the plane interface we consider perfect contact. For this problem there exist two possible...
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Can architecture be 11-dimensional? The nature of space in the architecture of the digital world era
PublikacjaThis research aims to explore the development of architectural theories about ‘architectural dimensions’ and look at architecture as a multidimensional space. It is important to understand that with today's development of virtual reality technology and through the combination of theories of physics and architecture, a new possibility of creating space has emerged. The arguments are made through inductive reasoning and grounded...
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Influence of Property Division on the Technical Condition of a Building
PublikacjaIn this article, the correlation between a technical condition of a building and property division is analyzed and assessed. In the course of the usage of a building, the process of its degradation and the increase in the demands of property occupants can be observed. There is a direct connection between the difficult technical condition of a building and the fragmentation of the ownership structure. Although not considered in...
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Database of the minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms of a connected sum of g tori
Dane BadawczeMorse–Smale diffeomorphisms, structurally stable and having relatively simple dynamics, constitute an important subclass of diffeomorphisms that have been carefully studied during past decades. For a given Morse–Smale diffeomorphism one can consider “Minimal set of Lefschetz periods”, which provides the information about the set of periodic points of...
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Euler tour lock-in problem in the rotor-router model
PublikacjaW pracy rozważano model eksploracji grafu nieskierowanego przez pojedynczego agenta, w którym sterowanie agentem odbywa się zgodnie z zasadą ''rotor-router'' (inaczej: ''Propp machine''). Porównano czas stabilizacji agenta do trajektorii w postaci cyklu Eulera dla różnych klas grafów, prowadząc rozważania w kontekście teorii gier. Przydział początkowych portów i wskaźników w modelu jest traktowany jako rozgrywka pomiędzy graczem...
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Novel topology of compact coplanar waveguide resonant cell low-pass filter
PublikacjaIn this study, a novel pseudoelliptic function low-pass filter (LPF) constituted by a compact coplanar waveguide resonant cell has been designed and manufactured. The lumped-element seven-pole prototype has been adequately realized by using complementary perturbations located both in signal line and ground plane metallization. The fabricated uniplanar LPF offers a compact size of 5.6 x 9.8 mm2, return loss better than 26 dB over...
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Automatic Correction of Non-Anechoic Antenna Measurements using Low-Pass Filters
PublikacjaPrototype measurements belong to key steps in the development of antenna structures. They are normally performed in expensive facilities, such as anechoic chambers (ACs). Alternatively, antenna performance can be extracted (at a low cost) in non-anechoic conditions upon appropriate post-processing. Unfortunately, existing correction algorithms are difficult to set up and prone to failure, which limits their practical usefulness....
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The database of odd algebraic periods for quasi-unipotent self-maps of a space having the same homology group as the connected sum of g tori
Dane BadawczeThe dataset consists of 20 files indexed by numbers g=1,...,20. Each file provides sets of odd algebraic periods for all quasi-unipotent self-maps of a space having the same homology groups as the connected sum of g tori. Let us remark that each data set covers all algebraical restrictions that come from zeta functions for the sets of minimal Lefschetz...
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Representativity of ISO test track surface based on controlled pass-by measurements
PublikacjaWithin the Polish-Norwegian research project ELANORE, a limited Round Robin Test has been performed on four ISO tracks in Northern Europe. The basic objective of the project is to improve the EU directive on labelling of tyres for noise and rolling resistance. This directive is based on the measurement procedures proscribed in the UNECE Reg.117. Measurements on 3 ISO tracks were performed in 2021 and presented at InterNoise 2022....
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Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients - convergence analysis
PublikacjaW pracy wykazano zbieżność metody różnicowej dla zagadnienia początkowego dla równania parabolicznego bez pochodnych mieszanych, ze współczynnikami zależnymi od czasu, z nieliniową i nielokalną prawą stroną równania.
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Characterization of the Functionally Graded Shear Modulus of a Half-Space
PublikacjaIn this article, a method is proposed for determining parameters of the exponentialy varying shear modulus of a functionally graded half-space. The method is based on the analytical solution of the problem of pure shear of an elastic functionally graded half-space by a strip punch. The half-space has the depth-wise exponential variation of its shear modulus, whose parameters are to be determined. The problem is reduced to an integral...
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Redifining the Space – The Impact of Art Instalation in the Public Space
PublikacjaThe article presents the outcomes of the ‘Art and design’ - interdisciplinary programme WIRE 2013, and the work of studio regarding the impact of art instalation in the public Space . The subject of the workshop was an ‘Architectural Installation’. The relationship between art and architecture remains a challenging issue today, first and foremost in the domain of architecture, and particularly in art and design schools. To address...
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Database of the minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms of a connected sum of g real projective planes.
Dane BadawczeMorse–Smale diffeomorphisms, structurally stable and having relatively simple dynamics, constitute an important subclass of diffeomorphisms that were carefully studied during past decades. For a given Morse–Smale diffeomorphism one can consider “Minimal set of Lefschetz periods”, which provides the information about the set of periodic points of considered...
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Assessment of the technological reliability of a hybrid constructed wetland for wastewater treatment in a mountain eco-tourist farm in Poland
PublikacjaThe aim of the present study was to assess the technological reliability of a domestic hybrid wastewater treatment installation consisting of a classic three-chambered (volume 6 m3) septic tank, a vertical flow trickling bed filled with granules of a calcinated clay material (KERAMZYT), a special wetland bed constructed on a slope, and a permeable pond used as a receiver. The test treatment plant was located at a mountain eco-tourist...
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Positive solutions to fractional differential equations involving Stieltjes integral conditions
PublikacjaIn this paper, we investigate nonlocal boundary value problems for fractional differential equations with dependence on the first-order derivatives and deviating arguments. Sufficient conditions which guarantee the existence of at least three positive solutions are new and obtained by using the Avery–Peterson theorem. We discuss problems (1) and (2) when argument b can change the character on [0, 1], so in some subinterval I of...
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Redefiniowanie przestrzeni medycznej = Redefining healthcare space
PublikacjaSzpital jest obiektem publicznym, budynkiem-miastem, jego architektura nakierowana jest na realizację procesu leczenia i zdrowienia, a jednocześnie formuje przestrzenne ramy mikrokosmosu interakcji społecznych rozgrywających się pomiędzy pacjentami i personelem, gośćmi i „mieszkańcami”. Współcześnie w podejściu do rozumienia czym jest szpital - a zatem również do kształtowania architektury obiektów medycznych - można zauważyć dwa...
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Difference functional inequalities and applications.
PublikacjaThe paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based on the comparison technique, and the result for difference functional inequalities is used. Numerical examples are presented.
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Crystallization of space: Space-time fractals from fractal arithmetic
PublikacjaFractals such as the Cantor set can be equipped with intrinsic arithmetic operations (addition, subtraction, multiplication, division) that map the fractal into itself. The arithmetics allows one to define calculus and algebra intrinsic to the fractal in question, and one can formulate classical and quantum physics within the fractal set. In particular, fractals in space-time can be generated by means of homogeneous spaces associated...
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The use of spectrometric diagnostics in identification of the technical condition of tribological systems
PublikacjaThe paper presents, as an effect of the analysis of investigation results, a possibility of using the spectrometric diagnostics in the tribological system technical condition supervision arrangement. A model, based on the emission of solid particles in tribological system operation, allows to identify the system technical condition. After the analysis of tests carried out with the use of that model, it has been found that the content...
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Shift invariant operators and a saturation theorem.
PublikacjaPraca jest kontynuacją wcześniejszych dwóch prac wydanych w Appl. Math. w latach 2001 i 2002. Główny wynik dotyczy wygładzania specjalnego ciągu zbieżnego słabo, tak iż dostajemy ciąg zbieżny w normie supremum.
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FURTHER REMARKS ON THE NEO-CLASSICAL NAVIER-STOKES EQUATIONS
PublikacjaThe seminal Navier-Stokes equations have been stated yet before creation of principles of thermodynamics and the first and second laws. In the literature there is the common opinion that the Navier-Stokes equations cannot be taken as a thermodynamically correct model of “working fluid” which is able to describe transformation of “ heat” into “work” and vice versa. Therefore, in the paper, a new exposition of thermodynamically...
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REACTIVE & FUNCTIONAL POLYMERS
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Security aspects in functional safety analysis
PublikacjaA security level of distributed control and protection system may have a significant impact on the results of functional safety analysis. However, the issue of integrating the safety and security aspects is difficult and usually is neglected during the functional safety analysis. This article presents a method of functional safety analysis which takes into consideration a concept of integrating these two aspects. It is based on...
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Space and Landscape in a Global Context
Kursy OnlineModule SPACE AND LANDSCAPE IN A GLOBAL CONTEXT (2022/2023, autumn semester) Objective The objective of the module is to debate different approaches to managing spatial development and contemporary issues in a global context. The course is founded on the students' knowledge about urban planning and instruments used to make them better places both for people and the environment. Course proceedings Lectures and classes run online...
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Rocky Mountain Geology
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MOUNTAIN RESEARCH AND DEVELOPMENT
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Systems of Nonlinear Fractional Differential Equations
PublikacjaUsing the iterative method, this paper investigates the existence of a unique solution to systems of nonlinear fractional differential equations, which involve the right-handed Riemann-Liouville fractional derivatives D(T)(q)x and D(T)(q)y. Systems of linear fractional differential equations are also discussed. Two examples are added to illustrate the results.
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GENERAL DYNAMIC PROJECTING OF MAXWELL EQUATIONS
PublikacjaA complete – system of Maxwell equations is splitting into independent subsystems by means of a special dynamic projecting technique. The technique relies upon a direct link between field components that determine correspondent subspaces. The explicit form of links and corresponding subspace evolution equations are obtained in conditions of certain symmetry, it is illustrated by examples of spherical and quasi-one-dimensional waves.
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A Generalized Version of the Lions-Type Lemma
PublikacjaIn this short paper, I recall the history of dealing with the lack of compactness of a sequence in the case of an unbounded domain and prove the vanishing Lions-type result for a sequence of Lebesgue-measurable functions. This lemma generalizes some results for a class of Orlicz–Sobolev spaces. What matters here is the behavior of the integral, not the space
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Równania całkowe (Integral equations) 2022/2023
Kursy OnlineWFTIMS, studia II stopnia, kierunek: Matematyka, specjalność: Geometria i grafika komputerowa, sem. 3
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JOURNAL OF DIFFERENTIAL EQUATIONS
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„Space, architecture and infrastructure “in-between cities”.
PublikacjaThe article presents contemporary city problems, like division of the city, infrastructural barriers, empty spaces, chaotic development, cuting-off areas, threatening the city image and functioning. These problems can be best observed in the areas in-between cities. One of the main questions for urban planners and architects seems thus to be: how to connect the city spaces instead of creating the barriers, how to create the areas...
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Almost homoclinics for nonautonomous second order Hamiltonian systems by a variational approach
PublikacjaW artykule badamy problem istnienia rozwiązań prawie homoklinicznych dla nieautonomicznych układów Hamiltona w R^n z potencjałem V(t,x) postaci -1/2(L(t)x,x)+W(t,x) oraz zaburzeniem f(t) (ang. forcing term) z L^2. Zakładamy, że L jest funkcją ciągłą z prostej w zbiór macierzy kwadratowych nxn taką, że macierze L(t) są symetryczne i dodatnio określone jednostajnie względem zmiennej t. Potencjał W(t,x) jest klasy C^1 i nadkwadratowy...
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ELECTIVE PROJECT II _sem 5_Green Story - Free Time Space
Kursy OnlineThe topic of the course - Green Story - Free Time Space, joins green architecture and a place to spend free time - inside and outside – to read, to eat, to relax. The idea is to design green – to give back the greenery to the public square – to make a city space more friendly for users and more friendly to the environment. You can design a story, to make a space more attractive. You can design a Green Story, to make people more...
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IN SEARCH OF A NEW EXHIBITION SPACE
PublikacjaThe buildings considered as raising the prestige and promoting cities are those related to culture. Their impact on urban life is undeniable, which is reflected in a continuous increase in the number of new museum buildings. Apart from places intrinsically linked with culture, which, as such, may be considered as standard - like museum, theatres or galleries - there also appear alternative places of development and promotion of...