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Search results for: GRADIENT MAP
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Gradient otopies of gradient local maps
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Classification of homotopy classes of equivariant gradient maps
PublicationNiech V będzie ortogonalną reprezentacją zwartej grupy Liego Gi niech S(V),D(V) oznaczają sferę jednostkową i kulę jednostkową V.Jeżeli F jest G-niezmienniczą funkcją rzeczywistą klasy C^1 na Vto mówimy, że grad F (gradient F) jest dopuszczalny, jeżeli(grad F)(x) jest różny od zera dla x należących do S(V). Pracapoświęcona jest homotopijnej klasyfikacji dopuszczalnychG-niezmienniczych odwzorowań gradientowych.
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Generalized Gradient Equivariant Multivalued Maps, Approximation and Degree
PublicationConsider the Euclidean space Rn with the orthogonal action of a compact Lie group G. We prove that a locally Lipschitz G-invariant mapping f from Rn to R can be uniformly approximated by G-invariant smooth mappings g in such a way that the gradient of g is a graph approximation of Clarke’s generalized gradient of f . This result enables a proper development of equivariant gradient degree theory for a class of set-valued gradient...
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The Hopf type theorem for equivariant gradient local maps
PublicationWe construct a degree-type otopy invariant for equivariant gradient local maps in the case of a real finite-dimensional orthogonal representation of a compact Lie group. We prove that the invariant establishes a bijection between the set of equivariant gradient otopy classes and the direct sum of countably many copies of Z.
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Analysis of dynamics of a map-based neuron model via Lorenz maps
PublicationModeling nerve cells can facilitate formulating hypotheses about their real behavior and improve understanding of their functioning. In this paper, we study a discrete neuron model introduced by Courbage et al. [Chaos 17, 043109 (2007)], where the originally piecewise linear function defining voltage dynamics is replaced by a cubic polynomial, with an additional parameter responsible for varying the slope. Showing that on a large...
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Gradient versus proper gradient homotopies
PublicationWe compare the sets of homotopy classes of gradient and proper gradient vector fields in the plane. Namely, we show that gradient and proper gradient homotopy classi cations are essentially different. We provide a complete description of the sets of homotopy classes of gradient maps from R^n to R^n and proper gradient maps from R^2 to R^2 with the Brouwer degree greater or equal to zero.
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Gradient-Index (GRIN) Matrices Based On Mosaic Assembling Technology (MAT) For Multichannel Fiberoptic Environmental Sensors
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Weak Solutions within the Gradient-Incomplete Strain-Gradient Elasticity
PublicationIn this paper we consider existence and uniqueness of the three-dimensional static boundary-value problems in the framework of so-called gradient-incomplete strain-gradient elasticity. We call the strain-gradient elasticity model gradient-incomplete such model where the considered strain energy density depends on displacements and only on some specific partial derivatives of displacements of first- and second-order. Such models...
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Thermodynamically consistent gradient theory of damage coupled with gradient plasticity
PublicationPrzedstawiono termodynamicznie zgodną teorię plastycznego zniszczenia w zakresie mechaniki Newtona-Eshelbego. Poza klasycznymi równaniami ruchu w przestrzeni fizycznej sformułowano dynamiczne równania równowagi sił powiązanych z defektami w przestrzeni materialnej oraz pierwsze i drugie prawo termodynamiki w przestrzeni fizycznej i materialnej. Ogólne równania konstytutywne przyjęto jako funkcję gradientu deformacji, jego składników...
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Connection of microcosm with macrocosm in Max Scheler's philosophy: man, logos and ethos
PublicationW eseju pokazałem znaczenie mikrokosmicznego wymiaru w ludzkim personalnym życiu. To jest w świecie Zachodu kompleksowa próba, aby uchwycić związek "mikrokosmosu" z "makrokosmosem w filozoficznym dziele Maxa Schelera. Następnie uwypukliłem, że z racji jego powiązania jako pojęcia "mikrokosmosu" z kwestią kształcenia, wtedy w indywidualnej ludzkiej osobie pojęcie to osiąga "prawo obywatelstwa" w Schelerowskiej...
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Ellipticity of gradient poroelasticity
PublicationWe discuss the ellipticity properties of an enhanced model of poroelastic continua called dilatational strain gradient elasticity. Within the theory there exists a deformation energy density given as a function of strains and gradient of dilatation. We show that the equilibrium equations are elliptic in the sense of Douglis–Nirenberg. These conditions are more general than the ordinary and strong ellipticity but keep almost all...
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Proper gradient otopies
PublicationWe prove that the inclusion of the space of proper gradient local maps into the space of proper local maps induces a bijection between the sets of the respective otopy classes of these maps.
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Proper gradient otopies
PublicationWe prove that the inclusion of the space of proper gradient local maps into the space of proper local maps induces a bijection between the sets of the respective otopy classes of these maps.
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An absorbing set for the Chialvo map
PublicationThe classical Chialvo model, introduced in 1995, is one of the most important models that describe single neuron dynamics. In order to conduct effective numerical analysis of this model, it is necessary to obtain a rigorous estimate for the maximal bounded invariant set. We discuss this problem, and we correct and improve the results obtained by Courbage and Nekorkin (2010). In particular, we provide an explicit formula for an...
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Inducing a map on homology from a correspondence
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Shadowing is generic---a continuous map case
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E-learning in tourism and hospitality: A map
PublicationThe impact of information and communication technologies (ICT) on tourism and hospitality industries has been widely recognized and investigated as a one of the major changes within the domains in the last decade: new ways of communicating with prospective tourists and new ways of purchasing products arisen are now part of the industries’ everyday life. Poor attention has been paid so far to the role played by new media in education...
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Journal of Map & Geography Libraries
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pH Gradient Reversed-Phase HPLC
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On nonlinear dilatational strain gradient elasticity
PublicationWe call nonlinear dilatational strain gradient elasticity the theory in which the specific class of dilatational second gradient continua is considered: those whose deformation energy depends, in an objective way, on the gradient of placement and on the gradient of the determinant of the gradient of placement. It is an interesting particular case of complete Toupin–Mindlin nonlinear strain gradient elasticity: indeed, in it, the...
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A Note on Reduced Strain Gradient Elasticity
PublicationWe discuss the particular class of strain-gradient elastic material models which we called the reduced or degenerated strain-gradient elasticity. For this class the strain energy density depends on functions which have different differential properties in different spatial directions. As an example of such media we consider the continual models of pantographic beam lattices and smectic and columnar liquid crystals.
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noise map validation by continuous noise monitoring
PublicationArtykuł dotyczy porównania dwóch rodzajów oceny hałasu w aglomeracjigdańskiej. Pierwsza ocena została przygotowana na podstawie prognozy hałasu w oparciu o mapy stworzone metodami obliczeniowymi w roku 2007. Druga ocena bazuje na rzeczywistych danych pomiarowych zarejestrowanych przez system ciągłego monitoringu działającego w aglomeracji od 2008 roku. W artykule zaprezentowano i przeprowadzono analizy występujących różnic pomiędzy...
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Firing map of an almost periodic input function
PublicationIn mathematical biology and the theory of electric networks the firing map of an integrate-and-fire system is a notion of importance. In order to prove useful properties of this map authors of previous papers assumed that the stimulus function f of the system ẋ = f(t,x) is continuous and usually periodic in the time variable. In this work we show that the required properties of the firing map for the simplified model ẋ = f(t) still...
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Komputerowe wspomaganie zarządzania jakością w systemach klasy MRP/ERP z uwzględnieniem specyfiki sektora MŚP
PublicationW opracowaniu przedstawiono koncepcje integracji komputerowych aplikacji wspomagających zarządzanie jakością z systemami klasy MRP/ERP. W rezultacie przeprowadzonej analizy dotyczącej genezy i zastosowań modułów wspierających zarządzanie jakością w systemach zintegrowanych sformułowano wnioski dotyczące funkcjonalności tych systemów zarządzania oraz ich możliwości aplikacyjnych w sektorze MŚP.
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Zastosowanie superkomputera do tworzenia dynamicznych map hałasu
PublicationW artykule przedstawiono koncepcję i implementację Modelu Dynamicznego Prognozowania Hałasu przeznaczonego do tworzenia map hałasu. Omówiony został cel wykonania powstałej aplikacji. Zawarto krótki opis użytego sprzętu. Omówiono poszczególne elementy Modelu Dynamicznego Prognozowania Hałasu oraz zastosowane metody. Przedstawiono zagadnienia związane z implementacją algorytmów na klastrze komputerowym. Zaprezentowano również rezultaty...
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Usability attributes revisited: a time-framed knowledge map
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Spike patterns and chaos in a map-based neuron model
PublicationThe work studies the well-known map-based model of neuronal dynamics introduced in 2007 by Courbage, Nekorkin and Vdovin, important due to various medical applications. We also review and extend some of the existing results concerning β-transformations and (expanding) Lorenz mappings. Then we apply them for deducing important properties of spike-trains generated by the CNV model and explain their implications for neuron behaviour....
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Wyznaczanie map hałasu z wykorzystaniem chmury obliczeniowej
PublicationW referacie przedstawiono gridow usług obliczeniow Mapy Hałasu. Algorytm predykcji hałasu i model ródła powstał w ramach bada Katedry Systemów Multimedialnych, Politechniki Gdaskiej. Aplikacja webowa umoliwia wykonanie map akustycznych, w szczególnoci hałasu drogowego bez uycia dodatkowego oprogramowania komercyjnego. W pracy przedstawiono zagadnienia z tematyki modelowania hałasu i propagacji dwiku w przestrzeniach miejskich....
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Periodic and chaotic dynamics in a map‐based neuron model
PublicationMap-based neuron models are an important tool in modeling neural dynamics and sometimes can be considered as an alternative to usually computationally costlier models based on continuous or hybrid dynamical systems. However, due to their discrete nature, rigorous mathematical analysis might be challenging. We study a discrete model of neuronal dynamics introduced by Chialvo in 1995. In particular, we show that its reduced one-dimensional...
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Analysing the Residential Market Using Self-Organizing Map
PublicationAlthough the residential property market has strong connections with various sectors, such as construction, logistics, and investment, it works through different dynamics than other markets; thus, it can be analysed from various perspectives. Researchers and investors are mostly interested in price trends, the impact of external factors on residential property prices, and price prediction. When analysing price trends, it is beneficial...
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Matching trajectory of a person to a map in inertial navigation system
PublicationPaper describes the method of matching, to a map, trajectories of a person walking indoors, obtained from inertial navigation module. General principle of matching algorithm based on particle filtering is presented. Method of detecting particle collisions is described as well. The last chapter provides test results of map matching related to a true trajectory.
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Constructing a map of an anonymous graph: applications of universal sequences
PublicationWe study the problem of mapping an unknown environmentrepresented as an unlabelled undirected graph. A robot (or automaton)starting at a single vertex of the graph G has to traverse the graph and return to its starting point building a map of the graph in the process. We are interested in the cost of achieving this task (whenever possible) in terms of the number of edge traversal made by the robot. Another optimization criteria...
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Chatter surveillance with the creation of a map of optimal spindle speeds
PublicationW pracy przedstawiono metodę nadzorowania drgań samowzbudnych typu chatter. Wyznaczono wartości optymalnych prędkości obrotowych wrzeciona dla poszczególnych punktów na powierzchni przedmiotu obrabianego, wykorzystując rożne techniki analizy modalnej. Badania eksperymentalne wykazały, że otrzymana w ten sposób mapa optymalnych prędkości obrotowych wrzeciona jest skutecznym narzędziem do eliminacji drgań chatter w procesie obróbki...
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Self-normalized density map (SNDM) for counting microbiological objects
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Comparison of Indian and Nepalese media on “Nepal's New Political Map”
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Fashion Games, Fashion in Games and Gamification in Fashion. A First Map
PublicationFashion companies have been using different forms of entertainment such as film and television, sport, music, museums, and photography as inspiration sources and as communication and marketing channels for decades. However, in recent years, they have also started to consider the gaming world. While gaming offers a potential revenue stream from sales of physical and digital clothing, change in it is also the gateway to access new...
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Performance of Noise Map Service Working in Cloud Computing Environment
PublicationIn the paper a noise map service designated for the user interested in environmental noise subject is presented. It is based on cloud computing. Noise prediction algorithm and source model, developed for creating acoustic maps, are working in cloud computing environment. In the study issues related to noise modeling of sound propagation in urban spaces are discussed with a special focus on road noise. Examples of results obtained...
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Statistical properties of a modified standard map in quantum and classical regimes
PublicationWe present a model—a modified standard map. This model has interesting properties that allow quantum–classical correspondences to be studied. For some range of parameters in the classical phase space of this model, there exist large accelerator modes. We can create a family of maps that have large accelerator modes.
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Self-Organizing Map representation for clustering Wikipedia search results
PublicationThe article presents an approach to automated organization of textual data. The experiments have been performed on selected sub-set of Wikipedia. The Vector Space Model representation based on terms has been used to build groups of similar articles extracted from Kohonen Self-Organizing Maps with DBSCAN clustering. To warrant efficiency of the data processing, we performed linear dimensionality reduction of raw data using Principal...
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Self–Organizing Map representation for clustering Wikipedia search results
PublicationThe article presents an approach to automated organization of textual data. The experiments have been performed on selected sub-set of Wikipedia. The Vector Space Model representation based on terms has been used to build groups of similar articles extracted from Kohonen Self-Organizing Maps with DBSCAN clustering. To warrant efficiency of the data processing, we performed linear dimensionality reduction of raw data using Principal...
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Saint-Venant torsion based on strain gradient theory
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Wild bees along an urban gradient: winners and losers
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Gradient adaptive lattice filter in FPGAS-implementation issues
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Theoretical opportunities and actual limitations of pH gradient HPLC
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Determination of pKa by pH Gradient Reversed-Phase HPLC
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Simultaneous Determination of pKa and Lipophilicity by Gradient RP HPLC
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The Hopf theorem for gradient local vector fields on manifolds
PublicationWe prove the Hopf theorem for gradient local vector fields on manifolds, i.e., we show that there is a natural bijection between the set of gradient otopy classes of gradient local vector fields and the integers if the manifold is connected Riemannian without boundary.
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Connected components of the space of proper gradient vector fields
PublicationWe show that there exist two proper gradient vector fields on Rn which are homotopic in the category of proper maps but not homotopic in the category of proper gradient maps.
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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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TWORZENIE MAP SIECI KOMPUTEROWYCH Z WYKORZYSTANIEM PROTOKOŁÓW TYPU LLDP
PublicationDla administratorów systemów sieciowych niezwykle istot-nym jest posiadanie narzędzia tworzącego dynamicznie mapę sieci do celów zarządzania, diagnostyki, zapobiegania awariom i włamaniom. Artykuł prezentuje protokoły wspierające tworzenie map sieci a także własne badania nad usprawnieniem istniejących algorytmów. Proponowane rozwiązania to: budowa map z użyciem protokołu LLDP i SNMP, odkrywanie wąskich gardeł w sieciach dzięki...