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Search results for: TITCHMARSH THEOREM
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Elemental and tight monogamy relations in nonsignaling theories
PublicationPhysical principles constrain the way nonlocal correlations can be distributed among distant parties. These constraints are usually expressed by monogamy relations that bound the amount of Bell inequality violation observed among a set of parties by the violation observed by a different set of parties. We prove here that much stronger monogamy relations are possible for nonsignaling correlations by showing how nonlocal correlations...
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On Applications of Fractional Derivatives in Circuit Theory
PublicationIn this paper, concepts of fractional-order (FO) derivatives are discussed from the point of view of applications in the circuit theory. The properties of FO derivatives required for the circuit-level modelling are formulated. Potential problems related to the generalization of transmission line equations with the use of FO derivatives are presented. It is demonstrated that some of formulations of the FO derivatives have limited...
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On Applications of Fractional Derivatives in Electromagnetic Theory
PublicationIn this paper, concepts of fractional-order (FO) derivatives are analysed from the point of view of applications in the electromagnetic theory. The mathematical problems related to the FO generalization of Maxwell's equations are investigated. The most popular formulations of the fractional derivatives, i.e., Riemann-Liouville, Caputo, Grünwald-Letnikov and Marchaud definitions, are considered. Properties of these derivatives are...
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Note on universal algoritms for learning theory
PublicationW 2001 Cucker i Smale zaproponowali nowe podejście do teorii uczenia się w oparciu o problematykę teorii aproksymacji.W 2005 i 2007 Bivev, Cohen, Dahmen, DeVore i Temlyakov opublikowali dwie prace z teorii uczenia się. W omawianej publikacji uogólniliśmy ich rezultaty jednocześnie upraszczając dowody.
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Theory and application of Near-infrared spectroscopy
PublicationIn recent years one can observe a significant increase in the requirements on quality control in all industrial sectors. The growing number of involved analyses makes the traditional, time consuming, requiring use of large quantities of reagents, thus expansive methods inconvenient especially for industrial applications. Fortunately, there is a very fast, cheap and not invasive analytical method that is increasingly used in qualitative...
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Green analytical chemistry : theory and practice
PublicationThis tutorial review summarises the current state of green analytical chemistry with special emphasis on environmentally friendly sample preparation techniques. Green analytical chemistry is a part of the sustainable development concept; its history and origins are described. Miniaturisation of analytical devices and shortening the time elapsing between performing analysis and obtaining reliable analytical results are important...
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Spectral splittings in the Conley index theory
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KOALA Graph Theory Internet Service
PublicationKOALA has been created with the idea of C++ library templates, implementing a broad set of procedures in the fields of algorithmic graph theory and network problems in discreate optimization. During the C2NIWA project, a library has been greatly ectended, the code refactored and enclosed with the internet service available in the public repository of thr project. Today it contains interconnected educational materials in the form...
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Grand Challenges on the Theory of Modeling and Simulation
PublicationModeling & Simulation (M&S) is used in many different fields and has made many significant contributions. As a field in its own right, there have been many advances in methodologies and technologies. In 2002 a workshop was held in Dagstuhl, Germany, to reflect on the grand challenges facing M&S. Ten years on, a series of M& S Grand Challenge activities are marking a decade of progress and are providing an opportunity to reflect...
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Regenarative tourism – between theory and practice
PublicationPurpose: The aim of this article is to present a shift in thinking in terms of implementing the systems and practices needed to transition to a regenerative approach in tourism. The article aims to provide concrete ways to change thinking and move towards a regenerative paradigm in the tourism industry. Design/methodology/approach: This viewpoint paper defines regenerative tourism and explores its principles and the possibilities...
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Selected aspects of system design theory.
PublicationPrzedstawiono wybrane fragmenty z teorii i techniki projektowania złożonych systemów technicznych. Zwrócono szczególną uwagę na tworzenie schematów strukturalnych i funkcjonalnych systemów, a także występujących tam relacji między elementami takiego systemu. Opisano kolejne kroki postępowania dla doboru cech elementów systemu wg macierzy ich przewidywanych właściwości oraz przykłady podziału dla istniejących składników systemów...
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Selected aspects of system design theory.
PublicationPrzedstawiono wybrane zagadnienia z teorii projektowania systemów. Szczgólną uwagę zwrócono na problemy występujące w systemach o dużej złożoności, które charakteryzują się skomplikowaną funkcją globalną, jak również dużą ilością elementów należących do takich systemów. Omówiono także niektóre cechy elementów wynikające z różnych procesów wytwarzania oraz ich wpływ na funkcję, strukturę i eksploatację systemu, powstałego ze skojarzenia...
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On dynamically and kinematically exact theory of shells
PublicationW rozważanej dynamicznie i kinematycznie ścisłej teorii powłok, powłokę reprezentuje materialna powierzchnia podstawowa wyposażona w tzw. tensor struktury. Nieograniczoną deformację włókien materialnych przekroju poprzecznego powłoki opisuje wektor przesunięć powierzchni podstawowej i tensor obrotów, wyrażający energetycznie uśrednioną po grubości rotację przekroju. Dyskutowane są relacje między trójwymiarowymi polami w ciele typu...
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Engineering theory and practice: wisdom of thinking
PublicationOmówiono wzajemny związek teorii i praktyki w rozwijaniu zawodowych umiejętności inżynierów. Teorię rozumie się tu jako zdolność do kreatywnego myślenia - źródła wszelkiej działalności człowieka. Dlatego należy kłaść nacisk na wysoki poziom kształcenia ogólnego w szkole średniej i na samej uczelni aby w wyniku otrzymać intelektualnie dojrzałych inżynierów-humanistów
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Structure of the Resource Theory of Quantum Coherence
PublicationQuantum coherence is an essential feature of quantum mechanics which is responsible for the departure between the classical and quantum world. The recently established resource theory of quantum coherence studies possible quantum technological applications of quantum coherence, and limitations that arise if one is lacking the ability to establish superpositions. An important open problem in this context is a simple characterization...
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FPGA implementation of reverse residue conversion based on the new Chinese Remainder Theorem II- Part II,- Experimantal results
PublicationW pracy opisano realizację sprzętową konwertera z systemu resztowego do systemu binarnego. Konwerter jest oparty na nowej formie chińskiego twierdzenia o resztach CRT II. Teoretyczne aspekty takiej konwersji przedstawiono w części I. Implementację konwertera wykonano w środowisku Xilinx FPGA. Zaprezentowano ogólną architekturę konwertera, a także opisano realizację wybranych bloków. Podano ilość koniecznych zasobów sprzętowych...
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Editorial: Perspectives and Theories of Social Innovation for Ageing Population
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URBAN THEORIES OF THE EMERGENCE, DEVELOPMENT AND ENDURANCE OF COMMERCIAL STREETS
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A non-linear direct peridynamics plate theory
PublicationIn this paper a direct non-local peridynamics theory for thin plates is developed. Peridynamic points are assumed to behave like rigid bodies with independent translation and finite rotation degrees of freedom. The non-local mechanical interaction between points is characterized by force and moment vectors. The balance equations including the linear momentum, the angular momentum and the energy are presented. Peridynamic deformation...
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A Universal Theory of Wisdom . A Mind - oriented Approach
PublicationThe purpose of the paper is to synthesize the issues of human wisdom in terms of minds which create knowledge-based judgment. We form a transdisciplinary, big-picture view of the wisdom of humans. Findings: Wisdom is the right judgment and choice in the context of the art of living. Practical implications: Wisdom can be developed within the set of minds. Social implications: To pursue wisdom in thinking and action, one must extend...
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Game Theory Analysis of Bidding for a Construction Contract
PublicationThe authors are concerned with a bidding problem. There are two companies (P1 and P2) bidding for a highway construction project. In order to be more competitive, P1 considers buying a new gravel pit near the construction site. The basic cost of the pit is known to both companies. However, there is also an additional, hidden, cost (C) known only to P1. P2 is uncertain whether the hidden cost is C = 0 or C = x. P1 plans to bid for...
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Nonlinear resultant theory of shells accounting for thermodiffusion
PublicationThe complete nonlinear resultant 2D model of shell thermodiffusion is developed. All 2D balance laws and the entropy imbalance are formulated by direct through-the-thickness integration of respective 3D laws of continuum thermodiffusion. This leads to a more rich thermodynamic structure of our 2D model with several additional 2D fields not present in the 3D parent model. Constitutive equations of elastic thermodiffusive shells...
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Module structure in Conley theory with some applications
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On the Nielsen fixed point theory for multivalued mappings
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Connection matrix theory for discrete dynamical systems
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Connection matrix theory for discrete dynamical systems
PublicationIn [C] and [F1] the connection matrix theory for Morse decomposition is developedin the case of continuous dynamical systems. Our purpose is to study the case of discrete timedynamical systems.
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Direct laser interference patterning: theory and application
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Coarse-Grained Models of Proteins: Theory and Applications
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The solidarity economy alternative: emerging theory and practice
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Product Graph Invariants with Applications in the Theory of Information
PublicationThere are a large number of graph invariants. In the paper, we consider some of them, e.g. the independence and chromatic numbers. It is well know that we cannot efficiently calculate these numbers for arbitrary graphs. In the paper we present relations between these invariants and concepts from the theory of information. Concepts such as source coding and transmission over a noisy channel with zero probability of error are modeled...
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Statistical theory of component overlap in multicomponent chromatograms
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Ionosphere variability II: Advances in theory and modeling
PublicationThis paper aims to provide an overview on recent advances in ionospheric modeling capabilities, with the emphasis in the efforts relevant to electron density variability. The discussion spans a wide range of model formulations (e.g., from purely empirical to physics-based ones and data-driven approaches) seeking for advances or gaps with regard to present challenges. This discussion is further supported by consideration of the...
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Services Marketing Influence On Marketing Theory Evolution,
PublicationThe discovery of differences between tangible goods and services in the 1970s was one of the most landmark moments in the history of marketing with an emphasis being shifted to the need for using different/diversified marketing activities while dealing with various industries and types of products. The objective of this article is to briefly characterise the evolution of the marketing thought and to present the crucial influence...
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Facing the brainstorming theory. A case of requirements elicitation
PublicationKnowledge is still considered to be power and its externalization makes it possible for others to use that power. In this paper, we examine the theory of brainstorming, and the claim by father Alex Osborn that in a group session an individual can think of twice as many ideas than working alone. In the context of requirements elicitation, we performed an experiment on a “nominal” and a “real” group of participants, following a procedure...
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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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Scenarios in regional planning – theory and practice in Poland
PublicationAbstract. It is important to recognise future conditions in planning because it primes future actions. Scenarios are useful prognostic tools, especially when the social and institutional behaviour plays a crucial role. The aims of the paper are: (1) to indicate the roles and the place of scenarios in the strategic plan building process; (2) to analyse and evaluate the application of scenarios in regional planning in Poland; (3)...
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Bipartite theory of graphs: outer-independent domination
PublicationLet $G = (V,E)$ be a bipartite graph with partite sets $X$ and $Y$. Two vertices of $X$ are $X$-adjacent if they have a common neighbor in $Y$, and they are $X$-independent otherwise. A subset $D \subseteq X$ is an $X$-outer-independent dominating set of $G$ if every vertex of $X \setminus D$ has an $X$-neighbor in $D$, and all vertices of $X \setminus D$ are pairwise $X$-independent. The $X$-outer-independent domination number...
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Module structure in Conley theory with some applications
PublicationA multiplicative structure in the cohomological versjon of Conley index is described . In the case of equivariant flows we apply the normalization procedure known from equivariant degree theory and we propose a new continuation invariant. The theory is then applied to obtain a mountain pass type theorem. Another application is a result on multiple bifurcations for some elliptic PDE.
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Control theory methods in diagnostic system design
PublicationPraca dotyczy zastosowania wybranych metod teorii sterowania do syntezy al-gorytmów detekcji uszkodzeń. Algorytmy takie, stanowiące istotną gałąźwspółczesnej diagnostyki technicznej obiektów dynamicznych, w swej istocieopierają się na rozwiązaniach odpowiednich zadań odpornego wyznaczania wek-torów resztowych, czyli ważonych błędów oszacowań wyjściadanego obiektu dy-namicznego (nadzorowanego procesu). Na treść pracy...
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Thermodynamically consistent nonlocal theory of ductile damage
PublicationPrzedstawiono termodynamicznie zgodną, słabo-nielokalną teorię zniszczenia plastycznego. Wykorzystano klasyczne dynamiczne zasady zachowania pędu i momentu pędu w przestrzeni fizycznej i materialnej. Przyjęto równania konstytutywne i zdefiniowano ich niezmienniczą formę i termodynamicznie dopuszczalną postać. Wykazano, że fizyczne i materialne siły i naprężenia składają się z dwóch części, niedyssypatywnego składnika otrzymanego...
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Towards Resource Theory of Coherence in Distributed Scenarios
PublicationThe search for a simple description of fundamental physical processes is an important part of quantum theory. One example for such an abstraction can be found in the distance lab paradigm: if two separated parties are connected via a classical channel, it is notoriously difficult to characterize all possible operations these parties can perform. This class of operations is widely known as local operations and classical communication....
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Market and state in socio-economic order: a brief review of theories
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Longitudinal wave propagation. Part I—Comparison of rod theories
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Longitudinal wave propagation. Part I - Comparison of rod theories
PublicationW pracy przedstawiono modele spektralnych elementów skończonych do analizy propagacji fali wzdłuznej w pretach. Opracowano modele wykorzystujace teorię elementarną, teorie Love'a, teorie Mindlina oraz teorię trójpostaciową.
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HEALTH-AFFIRMING EVERYDAY LANDSCAPES IN SUSTAINABLE CITY. THEORIES AND TOOLS
PublicationAs cities and urban population continue to grow, causing serious threats to public health, the development of health-affirming urban landscapes becomes even more important topic than ever before. The purpose of this paper is to answer the question which qualities of urban landscape make it the health-affirming landscape. In the first part of the paper, a concept of health-affirming landscapes and a modern approach to sustainable...
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HEALTH-AFFIRMING EVERYDAY LANDSCAPES IN SUSTAINABLE CITY. THEORIES AND TOOLS
PublicationAs cities and urban population continue to grow, causing serious threats to public health, the development of health-affirming urban landscapes becomes even more important topic than ever before. The purpose of this paper is to answer the question which qualities of urban landscape make it the health-affirming landscape. In the first part of the paper, a concept of health-affirming landscapes and a modern approach to sustainable...
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From fluid mechanics backgrounds to modern field theory
PublicationOur presentation keeps a historical line of reasoning, since we start from old concepts of fluid mechanics and finish on concepts of modern field theory. We want to show that some facts from the nature phenomena, which have firstly been discovered on the ground of fluid mechanics, were next incorporated into physics and later become the important pattern for whole mathematical physics. Especially, well-known continuum models, which...
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Crystal Facet Engineering of TiO2 from Theory to Application
PublicationRecently, the surface structure effect on photocatalytic activity has gathered increasing attention due to its reported influence on the charge carrier trapping and separation. Detailed control over the surface structure can be achieved by exposing the specific crystal facets. As a result, the photogenerated electrons and holes can be effectively separated between the different facets of semiconductor crystals. TiO2 is the most...
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Saint-Venant torsion based on strain gradient theory
PublicationIn this study, the Saint-Venant torsion problem based on strain gradient theory is developed. A total form of Mindlin's strain gradient theory is used to acquire a general Saint-Venant torsion problem of micro-bars formulation. A new Finite Element formulation based on strain gradient elasticity theory is presented to solve the Saint-Venant torsion problem of micro-bars. Moreover, the problem is solved for both micro and macro...
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On the effective properties of foams in the framework of the couple stress theory
PublicationIn the framework of the couple stress theory, we discuss the effective elastic properties of a metal open-cell foam. In this theory, we have the couple stress tensor, but the microrotations are fully described by displacements. To this end, we performed calculations for a representative volume element which give the matrices of elastic moduli relating stress and stress tensors with strain and microcurvature tensors.