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Search results for: orlicz-sobolev spaces
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On iterates of strong Feller operators on ordered phase spaces.
PublicationPraca dotyczy asymptotycznych własności iteracji operatorów Markowa. Udowodniono, że operatory Lasoty i ich wielowymiarowe uogólnienia są asymptotycznie stabilne. Wyniki mają zastosowanie w modelowaniu rozwoju komórki.
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Understanding the containment of public spaces: upgrading public domain
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Conley index in Hilbert spaces and the Leray-Schauder degree
PublicationZdefiniowane są liczby Bettiego i charakterystyka Eulera LS-indeksu dla potoków generowanych przez pole zwarte w przestrzeni Hilberta. Główna teza pracy to wzór typu Poincare-Hopfa łączący wspomnianą chatrakterystykę Eulera ze stopniem Leray-Schaudera.
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Borsuk-Ulam type theorems on product spaces II
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On homotopy Conley index for multivalued flows in Hilbert spaces
PublicationPodano aproksymacyjną definicję indeksu homotopijnego, otrzymując naturalne związki z podobnymi niezmiennikami. Zbadano własności tego niezmiennika i zastosowano do badania gradientowych potoków wykazując pewne geometryczne własności zbiorów niezmienniczych
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Pareto Ranking Bisection Algorithm for EM-Driven Multi-Objective Design of Antennas in Highly-Dimensional Parameter Spaces
PublicationA deterministic technique for fast surrogate-assisted multi-objective design optimization of antennas in highly-dimensional parameters spaces has been discussed. In this two-stage approach, the initial approximation of the Pareto set representing the best compromise between conflicting objectives is obtained using a bisection algorithm which finds new Pareto-optimal designs by dividing the line segments interconnecting previously...
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Delay integro-differential equations of mixed type in Banach spaces
PublicationPraca zawiera warunki dostateczne na istnienie ekstremalnych rozwiązań problemów różniczkowo-całkowych typu opóźnionego z warunkami początkowymi. Powyższe zagadnienia rozważa się w przestrzeniach Banacha. Stosując metodę iteracji monotonicznych dowodzi się istnienie rozwiązania. Pewne nierówności różniczkowo-całkowe są też badane. Praca zawiera przykłady ilustrujące otrzymane wyniki.
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PUBLIC SPACES FOR LOCAL LIFE / Shared values in diversified urban communities as a foundation for participatory provision of local public spaces, 23-27 May 2017, Ljubljana Slovenia
PublicationThe Urban Planning Institute of the Republic of Slovenia (UIRS) and partners hosted a 5-day international event addressing participatory planning of local urban public space in socially, economically and ethnically diverse communities. The event was structured in three interrelated activities: a seminar, a workshop and a field-trip. Special emphasis was given to the means of revealing shared values that local inhabitants and other...
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Recycling Gdańsk´s an urban spaces: the proceses supporting the identity of the city
PublicationPrzeobrażenia epoki postindustrialnej przybliżają wyobrażenie miasta inten- sywnego i zróżnicowanego. Istnieje potrzeba dostosowania istniejącej struk- tury miasta na nowych oczekiwań, poprzez uwypuklenie narracji już zapisanych w strukturze miasta, między innymi w nie docenianych obecnie układach wod- nych. Wskazano także na potencjał przetwarzania przestrzeni miasta związany z prawidłowym skonfigurowaniem przestrzennym samego...
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Equivariant Conley index in Hilbert spaces and applications to strongly indefinite problems
PublicationW pracy zdefiniowano teorię indeksu Conley`a w przestrzeni Hilberta z działaniem zwartej grupy Liego. Została ona wykorzystana do szacowania z dołu ilości rozwiązań periodycznych w teorii nieliniowych autonomicznych układów Hamiltona.
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Conley index in Hilbert spaces and problem of Angenent and van der Vorst
PublicationW pracy stosuje się teorię indeksu Conley`a dla przestrzeni Hilberta do uzyskania twierdzeń o istnieniu rozwiązań nieliniowego eliptycznego układu równań różniczkowych. Istotna trudność polega na tym, że stosując metody wariacyjne otrzymuje się funkcjonał na odpowiednio dobranej przestrzeni funkcyjnej, którego punkty krytyczne mają obie rozmaitości (stabilną i niestabilną) wymiaru nieskończonego.
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Middle Eastern Christian Spaces in Europe: Multi-sited and Super-diverse
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Educational and cognitive aspects of adaptation of nonuse spaces in monumental sacral objects.
PublicationThe area of attics and towers in historic churches in Europe are yet quite inaccessible places for visitors, shrouded in the atmosphere of mysticism, hiding many secrets. Introduction of the new public function into the non-used zones of the monumental sacral objects has many aspects including educational and cognitive ones which are discussed in the following article. The article indicates items that can be found in the zone above...
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On fault diagnosis of analogue electronic circuits based on transformations in multi-dimensional spaces.
PublicationPrzedstawiono ideę nowej klasy metod diagnostycznych opartej na przekształceniu transformującym zmiany parametru układu na krzywe identyfikacyjne w przestrzeniach wielowymiarowych. Rozszerzono również klasę tych metod na diagnostykę uszkodzeń wielokrotnych. Dla takich metod omówiono algorytm lokalizacji i identyfikacji pojedynczych i wielokrotnych uszkodzeń parametrycznych w liniowych układach elektronicznych. Przedstawiono rezultaty...
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Selected issues on the role of electric lighting in the regeneration programs of urban spaces in Poland
PublicationThis paper reflects on the basic research done in the area of outdoor public lighting in regard to regeneration processes. The general purpose of this scientific paper is to investigate the role that lighting design plays within regeneration frameworks. Referring to a wide spectrum of academic publications, the paper provides an overview of regeneration and outdoor public lighting objectives. Emphasize is put on the obstacles for lighting...
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A note on the Morse homology for a class of functionals in Banach spaces involving the 2p-area functional
PublicationIn this paper we show how to construct Morse homology for an explicit class of functionals involving the 2p-area functional. The natural domain of definition of such functionals is the Banach space W_0^{1,2p}(\Omega), where p > n/2 and \Omega \subet R^n is a bounded domain with sufficiently smooth boundary. As W_0^{1,2p}(\Omega) is not isomorphic to its dual space,critical points of such functionals cannot be non-degenerate...
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Local properties of the solution set of the operator equation in Banach spaces in a neighbourhood of a bifurcation point.
PublicationW niniejszej pracy badamy problem istnienia bifurkacji w zbiorze rozwiązań równania F(x,p)=0, gdzie F jest odwzorowaniem klasy C^2z iloczynu kartezjańskiego X i R^k do Y, X i Y są przestrzeniami Banacha takimi, że X jest podprzestrzenią liniową Y. Co więcej, dany jest iloczyn skalarny w Y, ciągły względem norm w X i Y. Pokazujemy, że pod pewnymi warunkami (0,p) jest punktem bifurkacji i opisujemyzbiór rozwiązań równania F(x,p)=0...
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Management of the transition spaces - comparison of the East European, West European and North American examples
PublicationArtykul dotyczy zagadnienia zagospodarowania przestrzeni stykowych pomiędzy strukturami portowymi i miejskimi w miastach portowych. Opisano w nim szereg przygkładów oraz zarysowano możliwe strategie zarządznaia tymi obszarami..
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The application of Local Indicators for Categorical Data (LICD) to explore spatial dependence in archaeological spaces
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EM-Driven Multi-Objective Optimization of Antenna Structures in Multi-Dimensional Design Spaces
PublicationFeasible multi-objective optimization of antenna structures is presented. An initial set of Pareto optimal solutions is found using a multi-objective evolutionary algorithm (MOEA) working with a fast surrogate antenna model obtained by kriging interpolation of coarse-discretization EM simulation data. To make the surrogate construction computationally feasible in multi-dimensional design space, the space subset containing non-dominated...
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Fault diagnosis in electronic circuits based on bilinear transformation in 3-D and 4-D spaces
PublicationPrzedstawiono ideę nowych metod diagnostycznych 3-D i 4-D opartych na przek-ształceniu biliniowym. Metody te bazują na transformacjach operujących odpo-wiednio w trzy i czterowymiarowych przestrzeniach funkcji układowych. Dlatych metod omówiono algorytm lokalizacji i identyfikacji pojedynczych uszko-dzeń parametrycznych w liniowych układach elektronicznych oraz algorytm lo-kalizacji i identyfikacji pojedynczych uszkodzeń...
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Reliable Multi-Stage Optimization of Antennas for Multiple Performance Figures in Highly-Dimensional Parameter Spaces
PublicationDesign of modern antenna structures needs to account for multiple performance figures and geometrical constraints. Fulfillment of these calls for the development of complex topologies described by a large number of parameters. EM-driven tuning of such designs is mandatory yet immensely challenging. In this letter, a new framework for multi-stage design optimization of multi-dimensional antennas with respect to several performance...
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Design Space Reduction for Expedited Multi-Objective Design Optimization of Antennas in Highly-Dimensional Spaces
PublicationA surrogate-based technique for efficient multi-objective antenna optimization is discussed. Our approach exploits response surface approximation (RSA) model constructed from low-fidelity antenna model data (here, obtained through coarse-discretization electromagnetic simulations). The RSA model enables fast determination of the best available trade-offs between conflicting design goals. The cost of RSA model construction for multi-parameter...
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A Novel Method for Intelligibility Assessment of Nonlinearly Processed Speech in Spaces Characterized by Long Reverberation Times
PublicationObjective assessment of speech intelligibility is a complex task that requires taking into account a number of factors such as different perception of each speech sub-bands by the human hearing sense or different physical properties of each frequency band of a speech signal. Currently, the state-of-the-art method used for assessing the quality of speech transmission is the speech transmission index (STI). It is a standardized way...
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Equivalence of equicontinuity concepts for Markov operators derived from a Schur-like property for spaces of measures
PublicationVarious equicontinuity properties for families of Markov operators have been – and still are – used in the study of existence and uniqueness of invariant probability for these operators, and of asymptotic stability. We prove a general result on equivalence of equicontinuity concepts. It allows comparing results in the literature and switching from one view on equicontinuity to another, which is technically convenient in proofs....
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Estimation of the minimal number of periodic points for smooth self-maps of odd dimensional real projective spaces
PublicationLet f be a smooth self-map of a closed connected manifold of dimension m⩾3. The authors introduced in [G. Graff, J. Jezierski, Minimizing the number of periodic points for smooth maps. Non-simply connected case, Topology Appl. 158 (3) (2011) 276-290] the topological invariant NJD_r[f], where r is a fixed natural number, which is equal to the minimal number of r-periodic points in the smooth homotopy class of f. In this paper smooth...
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Move into the open space – what can we expect from moving artistic interventions to open urban spaces?
PublicationThe paper discuses the role of incorporating creative engagement into the processes of urban and social development using cultural means of action and expression and the potential of artistic interventions in public space. The block of initiatives within the People’s Smart Sculpture EU project, realized by Gdańsk City Gallery, has been named “Move Into The Open Space”. This paper will provide...
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The outdoor market places in the public spaces of a modern city = Miejsca handlu targowego w przestrzeni publicznej współczesnego miasta (vol.1)
PublicationNowadays the market in the public space has different meanings. One of the point of view concentrate on the market as a low attraction of the city, which make it more chaotic. Although there exist contrary point of view – to apply the outdoor markets and the fairs in the public space as a one of the main attraction dedicated for toursits and local people.
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Wartość miejsca w małym i średnim mieście
PublicationPublic space is a matter of concern for international humanitarian organisations. The paper describes the initiative of UN-Habitat organisation for the creation of Charter of Public Space and the draft of this document. Next the definition of “place” is provided and the definitions of social capital and the bond between social capital and place attachment are presented. The actions proposed nowadays to create places are described....
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Morse inequalities via Conley index theory
PublicationThe relation known as the Morse inequalities can be extended to a more general setting of flows on a locally compact metric spaces (Conley index) as well as dynamical systems on Hilbert spaces (LS-index). This paper is a discourse around this extension. Except the part concerning the LS-index the material is self-contained and has a character of a survey.
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Speace frienly for the blind = Przestrzeń przyjazna dla niewidomych
PublicationThe article presents issues connected with accessibility of public space for people with eyesight disabilities. The use of the extravisual spatial stimuli in shaping the urban environment has been analysed. Spaces in which musltisensory spatial reception is feasible become user-friendly, as they come to meet the changing needs of their users. The article introduces a system of textures aiding spatial orientation, navigation and...
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THE ART OF VIRTUAL INFORMATION EXCHANGE AND ITS INFLUENCE ON REAL CITY SPACE
PublicationThe paper investigates the impact of the new genres of contemporary public art based on the virtual information exchange in real spaces of the cities. On the basis of theoretical approaches, trans-disciplinary surveys and case studies, the paper focuses on the art that not only relies on the technological support but also refers to the new public sphere, where people are co-creators of the art object giving their personal input...
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Linear Pantographic Sheets: Existence and Uniqueness of Weak Solutions
Publicationwe address the well-posedness of the planar linearized equilibrium problem for homogenized pantographic lattices. To do so: (i) we introduce a class of subsets of anisotropic Sobolev’s space as the most suitable energy space E relative to assigned boundary conditions; (ii) we prove that the considered strain energy density is coercive and positive definite in E ; (iii) we prove that the set of placements for which the strain...
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Role of public space in designing complex urban structures
PublicationThe aim of this article is to present the main assumptions about design studios as held in the Faculty of Architecture at Gdańsk University of Technology (FA-GUT), Gdańsk, Poland, adapted to the development of key competencies in the urban planning of complex urban structures. One of these competencies is the design of public spaces. The main goal of the studios was to deliver knowledge of the role of public spaces in the design...
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Health by Art: the Remedial Role of Artistic Installations in Public Space
PublicationDesigning public spaces has become one of the most relevant issues in contemporary cities thanks to their integrating and inclusionary character. Public spaces are playing a far more important role in promoting a healthy lifestyle and encouraging us to do different activities. Therefore, contemporary public spaces should enhance creativity, stimulate physical activity and influence mental health. The methodology used in the research...
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Innovative Urban Blue Space Design in a Changing Climate: Transition Models in the Baltic Sea Region
PublicationWaterfront areas in cities are subject to constant changes. The desire to integrate the transformed waterside areas with the urban fabric involves shaping high-quality public spaces related to water, which are often referred to as urban blue spaces (UBS). The aim of the research was to examine the transformation processes of urban waterfront areas in the Baltic Sea Region and identify emerging transition models and types of blue...
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Greenery and Urban Form vs. Health of Residents: Evaluation of Modernist Housing in Lodz and Gdansk
PublicationUrban forms can have numerous direct and indirect effects on the health of residents. This article focuses on the rela‐ tionship between health and urban form, in particular the role of green open spaces. The goal is to identify criteria for evaluating the impact of physical forms such as streets and open spaces, green infrastructure, and built structures on urban health. These criteria are then used to identify paths for the redevelopment...
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Entropy function application within the selection process of diagnostic parameters of marine diesel and gas turbine engines
PublicationThe paper presents the method of conducting an analysis of the diagnostic informativeness among the parameters characterizing the observed gas dynamic processes carried out within working spaces of marine diesel and gas turbine engines. An entropy function, as the measure of uncertainty of the identified states' set of the engine unfitness was applied. Having evaluated the diagnostic information the most adequate parameters were...
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Contemporary issues in production and utilisation of the common urban areas
PublicationThis paper deals with issues in production and utilization of common urban areas within contemporary cities. Therefore, the main focus of it was put on the analysis of the possible models of development of spaces in the context of changing socio-economic environment of cities and evolution of their structure. This issue is discussed also in light of the changing definition of the contemporary public space, which no longer resembles...
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Approximate Criteria for the Evaluation of Truly Multi-Dimensional Optimization Problems
PublicationIn this paper we propose new improved approximate quality criteria useful in assessing the efficiency of evolutionary multi-objective optimization (EMO). In the performed comparative study we take into account the various EMO algorithms of the state-of-the-art, in order to objectively assess the EMO performance in highly dimensional spaces. It is well known that useful executive criteria, such as those based on the true Pareto...
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Acoustic Sensing Analytics Applied to Speech in Reverberation Conditions
PublicationThe paper aims to discuss a case study of sensing analytics and technology in acoustics when applied to reverberation conditions. Reverberation is one of the issues that makes speech in indoor spaces challenging to understand. This problem is particularly critical in large spaces with few absorbing or diffusing surfaces. One of the natural remedies to improve speech intelligibility in such conditions may be achieved through speaking...
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A universal standard for health-promoting places. Example of assessment -on the basis of a case study of Rahway River Park
PublicationThe purpose of this paper is to contribute to development of approaches to the evaluation of the design of public open green spaces (POS). This paper presents a universal standard for the design of health-promoting urban places. The standard is a conceptual framework which was developed after visiting over one hundred public parks and therapeutic gardens in Europe and the United States. The universal standard is a simple and...
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Modelling of the Movement of Designed Vehicles on Parking Space for Designing Parking
PublicationNowadays, in all cities there is an acute problem of lack of parking spaces. The vehicles are becoming more and more not only in megacities, but also in small cities of the country, and there are no more parking places - the pace of solving the problem is several times slower than the speed of transport growth among the citizens. The article is dedicated to determination of the optimum sizes parking place for designing vehicles...
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Odczuwanie przestrzeni, czyli architektura jako lekarstwo
PublicationRecenzja książki, Esther M. Sternberg, Healing Spaces: The Science of Place and Well-Being , The Belknap press of Harvard University press, 2010, ISBN 978-0-674-05748-7
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„Space, architecture and infrastructure “in-between cities”.
PublicationThe 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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Re-thinking the city in the context of suburban landscapes. The case of Visula River delta water - landscapes and urban transformation processes in Gdańsk
PublicationThe text draws attention to the significant role of landscape formations surrounding the city and their role in marking out directions for the transformation and development of urban areas with the particular emphasis on public spaces. The article presents the need for a more conscious design strategies that are based on connectedness of urban spaces, which is built on landscape's characteristics, as an essential starting point...
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Przestrzeń publiczna a przemiany miasta
PublicationPraca składa się z dwunastu rozdziałów. Pierwsza część ma charakter wprowadzający do problematyki przestrzeni publicznej. W rozdziale drugim autorka przywołuje wybrane i ważne dla przedmiotu badań koncepcje teoretyczne oparte na modelu wieloparadygmatycznym. Rozdział trzeci osnuty jest wokół antycznego wzorca przestrzeni publicznej, który ze względu na niezwykłe bogactwo rozwiązań w tym zakresie wywodzi się właśnie z tego pnia....
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SKYSCRAPER'S PUBLIC AREAS: THE IMPACT ON SPACE AND SOCIAL LIFE
PublicationIn recent years, more careful consideration is taken into social issues of designing skyscrapers by humanizing adherent internal and external public areas. Case studies of The Shard (London: 2012), 122 Leadenhall Street (London: 2014), 20 Fenchurch Street (London: 2014), Heron Tower (London: 2011), Tower 25 (Nicosia: 2013), Zoofenster (Berlin: 2012), DNB House (Oslo: 2012), Centrum Biurowe Neptun (Gdansk, 2014), Skytower (Wroclaw:...
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Providing Public Space Continuities in Post-Industrial Areas through Remodelling Land/Water Connections
PublicationThis article examines the problem of urban transformation strategies applied in recent years which are based on the creation of new water areas and modification of existing ones. The research is an attempt to prove that modifications of plans of water areas and forms of their borders may play an important role in achieving the best quality public spaces in post-industrial territories. The basis for demonstrating the importance...
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Smooth orthogonal projections on sphere.
PublicationWe construct a decomposition of the identity operator on the sphere S^d as a sum of smooth orthogonal projections subordinate to an open cover of S^d. We give applications of our main result in the study of function spaces and Parseval frames on the sphere.