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Applications of Degree Theories to Nonlinear Operator Equations in Banach SpacesAdhikari, Dhruba R 26 April 2007 (has links)
Let X be a real Banach space and G1, G2 two nonempty, open and bounded subsets of X such that 0 ∈ G2 and G2 ⊂ G1. The problem (∗) T x + Cx = 0 is considered, where T : X ⊃ D(T) → X is an accretive or monotone operator with 0 ∈ D(T) and T(0) = 0, while C : X ⊃ D(C) → X can be, e.g., one of the following types: (a) compact; (b) continuous and bounded with the resolvents of T compact; (c) demicontinuous, bounded and of type (S+) with T positively homogeneous of degree one; (d) quasi-bounded and satisfies a generalized (S+)-condition w.r.t. the operator T, while T is positively homogeneous of degree one. Solutions are sought for the problem (∗) lying in the set D(T + C) ∩ (G1 \ G2). Nontrivial solutions of (∗) exist even when C(0) = 0. The degree theories of Leray and Schauder, Browder, and Skrypnik as well as the degree theory by Kartsatos and Skrypnik for densely defined operators T, C are used. The last three degree theories do not assume any compactness conditions on the operator C. The excision and additivity properties of these degree theories are employed, and the main results are significant extensions or generalizations of previous results by Krasnoselskii, Guo, Ding and Kartsatos involving the relaxation of compactness conditions and/or conditions on the boundedness of the operator T. Moreover, a new degree theory developed by Kartsatos and Skrypnik has been used to prove a similar result for operators of type T + C, where T : X ⊃ D(T) → 2 X∗ is a multi-valued maximal monotone operator, with 0 ∈ D(T) and 0 ∈ T(0), and C : X ⊃ D(C) → X∗ is a densely defined quasi-bounded and finitely continuous operator of type (S˜+). The problem of existence of nonzero solutions for T x + Cx + Gx 3 0 is also considered. Here, T is maximal monotone, C is bounded demicontinuous of type (S+), and G is of class (P). Eigenvalue and invariance of domain results have also been established for the sum L + T + C : G ∩ D(L) → 2 X∗ , where G ⊂ X is open and bounded, L : X ⊃ D(L) → X∗ densely defined linear maximal monotone, T : X → 2X∗ bounded maximal monotone, and C : G → X∗ bounded demicontinuous of type (S+) w. r. t. D(L).
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Hybrid Steepest-Descent Methods for Variational InequalitiesHuang, Wei-ling 26 June 2006 (has links)
Assume that F is a nonlinear operator on a real Hilbert space H which is strongly monotone and Lipschitzian on a nonempty closed convex subset C of H. Assume also that C is the intersection of the fixed point sets of a finite number of nonexpansive mappings on H. We make a slight modification of the iterative algorithm in Xu and Kim (Journal of Optimization Theory and Applications, Vol. 119, No. 1, pp. 185-201, 2003), which generates a sequence {xn} from an arbitrary initial point x0 in H. The sequence {xn} is shown to converge in norm to the unique solution u* of the variational inequality, under the conditions different from Xu and Kim¡¦s ones imposed on the parameters. Applications to constrained generalized pseudoinverse are included. The results presented in this paper are complementary ones to Xu and Kim¡¦s theorems (Journal of Optimization Theory and Applications, Vol. 119, No. 1, pp. 185-201, 2003).
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Améliorer l'interopérabilité sémantique : applicabilité et utilité de l'alignement d'ontologies.Hamdi, Fayçal 02 December 2011 (has links) (PDF)
Dans cette thèse, nous présentons des approches d'adaptation d'un processus d'alignement aux caractéristiques des ontologies alignées, qu'il s'agisse de caractéristiques quantitatives telles que leur volume ou de caractéristiques particulières liées par exemple à la façon dont les labels des concepts sont construits. Concernant les caractéristiques quantitatives, nous proposons deux méthodes de partitionnement d'ontologies qui permettent l'alignement des ontologies très volumineuses. Ces deux méthodes génèrent, en entrée du processus d'alignement, des sous ensembles de taille raisonnable des deux ontologies à aligner en prenant en compte dès le départ l'objectif d'alignement dans le processus de partitionnement.Concernant les caractéristiques particulières des ontologies alignées, nous présentons l'environnement TaxoMap Framework qui permet la spécification de traitements de raffinement à partir de primitives prédéfinies. Nous proposons un langage de patrons MPL (the Mapping Pattern Language) que nous utilisons pour spécifier les traitements de raffinement.En plus des approches d'adaptation aux caractéristiques des ontologies alignées, nous présentons des approches de réutilisation des résultats d'alignement pour l'ingénierie ontologique. Nous nous focalisons plus particulièrement sur l'utilisation de l'alignement pour l'enrichissement d'ontologies. Nous étudions l'apport des techniques d'alignement pour l'enrichissement et l'impact des caractéristiques de la ressource externe utilisée comme source d'enrichissement. Enfin, nous présentons la façon dont l'environnement TaxoMap Framework a été implémenté et les expérimentations réalisées : des tests sur le module d'alignement TaxoMap, sur l'approche de raffinement de mappings, sur les méthodes de partitionnement d'ontologies de très grande taille et sur l'approche d'enrichissement d'ontologies.
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An exploration of indirect human costs associated with information systems adoptionAyfarah, Souad Mohamed January 2004 (has links)
One of the dilemmas that information systems (IS) decision-makers encounter is the identification of the often hidden costs associated with IS adoption, particularly since most of them are reported to be external to the traditional IS budget. The review of the IS literature has identified that much effort to date has focused on the identification and measurement of direct costs, and that much less attention has been paid to indirect costs. One of the main problems reported in the literature associated with looking at indirect costs is that they are intangible and difficult to quantify, and there is evidence suggesting that these indirect costs are rarely completely budgeted for, and thus deserve a much closer consideration by decision-makers. This research investigates this view, arguing that one element of indirect costs, that is, indirect human costs (lRCs), is underestimated and little understood. The author argues that it is not possible to estimate or evaluate IHCs without first identifying all their components, yet there is an absence of models that show how such costs are allocated for IS adoption. This underpins the necessity of the present research. Proposed here is a framework of nine sequential phases for accommodating indirect human costs. In addition to this, 1) three conjectures, 2) cost taxonomy and 3) an interrelationship-mapping cost driver model of IRCs, are proposed based on the literature analysis and underpinning the conceptual phases of the framework. To test the conjectures and validate the models proposed, a case research strategy using case settings were carried out in the private sector. Empirical findings validates the models proposed and reveal that indirect human costs are perceived as costs associated with IS adoption, nevertheless not included in the evaluation process or investment proposals. However, during the empirical research, new cost factors and drivers emerged, which resulted in modifications being made to the previously proposed conceptual models. In doing so, it provides investment decision-makers with novel frames of reference and an extensive list of IRCs that can be used during both the IS budget proposals and the evaluation process of the IS investment.
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Chaos, yet no chance to get lost order and structure in the chaotic dynamical behaviour of one-dimensional noninvertible axiom a mappings, arising in discrete biological models /Nusse, Helena Engelina, January 1900 (has links)
Thesis (doctoral)--Rijksuniversiteit te Utrecht, 1983. / "Stellingen": [6] p. inserted. Includes bibliographical references (p. 253-257) and index.
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ZONEAMENTO AMBIENTAL EM BACIAS HIDROGRÁFICAS ESTUDO DE CASO: ZONEAMENTO AMBIENTAL DA MICROBACIA HIDROGRÁFICA DAS NASCENTES DO RIO IBICUI MIRIM ATÉ A BARRAGEM SATURNINO DE BRITO / ENVIRONMENTAL ZONING IN HYDROGRAPHIC BASINS CASE STUDY: ENVIRONMENT ZONING OF HYDROGRAPHIC BASIN IN IBICUI MIRIM RIVER UNTIL THE SATURNINO DE BRITO DAMDaltrozo, Cleonir Carpes 16 October 2008 (has links)
The Environment Zoning is a legal instrument of ordinance of the use and occupation
of the ground. The main goal of this work is classify the allowed, not allowed, conflicting
territory in use zones, activities, in accordance with the capacity of support of
ecosystems and the economic interest.
The Environment Zoning of the Hydrographic Basin of the Ibicuí-Mirim River until the
Saturnino de Brito dam allowed to evaluate existing Environment deterioration in the
related basin. For the accomplishment of the analyses that had allowed the elaboration
of the environmental zoning map had been evaluated ten (10) parameters: declivity,
drainage, density, ruggedness number, vegetation, wild life, native landscape,
human occupation, land use, erosion, propitious areas forest fires or burnt areas.
With the attainment of estimated values of each one of the ten (10) analyzed parameters
and with the aid of the equation deduced for these parameters, the percentage
of deterioration of each one of the evaluated environment units was gotten.
After this, in accordance with the proposed methodology was considered six (6) distinct
types of zoning classes in the related basin: Permanent Preservation Area
(APP), subdivided in: Zone Zero and Zone 1; Conservation Permanent Area (the
ACP), subdivided in: Zone 2 and Zone 3; Restoration Area (AR), Zone 4 and Occupation
Area (AUO) Zone 5, with its aptitudes and restrictions.
With the attainment of the respective areas for each class of the territory ordinance
was elaborated the environment zoning chart of the Hydrographic Basin considered
and was done the respective recommendations in accordance with its aptitudes,
also the suggestion of the creation of an APA (Environment Protection Area)
with the elaboration of the respective Law Decree. / O Zoneamento Ambiental é um instrumento jurídico de ordenação do uso e
ocupação do solo. Tem por propósito classificar o território em zonas de uso,
atividades permitidas, não permitidas, conflitantes, de acordo com a capacidade de
suporte dos ecossistemas e do interesse econômico.
O Zoneamento Ambiental da Micro BACIA HIDROGRÁFICA das Nascentes do Rio
Ibicuí-Mirim até a Barragem Saturnino de Brito permitiu avaliar a deterioração
ambiental existente na referida bacia. Para a realização das análises que permitiram
a elaboração da carta de zoneamento ambiental foram avaliados dez (10)
parâmetros ambientais, sendo eles: declividade, densidade de drenagem,
coeficiente de rugosidade, vegetação, fauna silvestre, paisagem nativa, ocupação
humana, uso da terra, áreas erodidas, áreas propícias as queimadas ou queimadas.
Com a obtenção dos valores ponderados de cada um dos dez (10) parâmetros
analisados e com o auxílio da equação deduzida para estes parâmetros, obteve-se o
percentual de deterioração de cada uma das unidades ambientais avaliadas.
Posteriormente, de acordo com a metodologia proposta considerou-se seis (6) tipos
distintos de classes de zoneamento na referida bacia, sendo eles: Área de
Preservação Permanente (APP), subdividida em Zona 0 e Zona 1; Área de
Conservação Permanente (ACP), subdividida em Zona 2 e Zona 3; Área de
Restauração (AR), Zona 4 e Área de Uso e Ocupação (AUO) Zona 5, com suas
referidas aptidões e restrições.
Com a obtenção das áreas respectivas para cada classe de ordenação do território,
elaborou-se a carta de Zoneamento Ambiental da Micro BACIA HIDROGRÁFICA
das Nascentes do Rio Ibicuí-Mirim até a Barragem Saturnino de Brito e procedeuse
as respectivas recomendações de acordo com as suas aptidões, inclusive a
sugestão da criação de uma APA (Área de Proteção Ambiental) com a elaboração
do respectivo Decreto Lei.
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Liage de données RDF : évaluation d'approches interlingues / RDF Data Interlinking : evaluation of Cross-lingual MethodsLesnikova, Tatiana 04 May 2016 (has links)
Le Web des données étend le Web en publiant des données structurées et liées en RDF. Un jeu de données RDF est un graphe orienté où les ressources peuvent être des sommets étiquetées dans des langues naturelles. Un des principaux défis est de découvrir les liens entre jeux de données RDF. Étant donnés deux jeux de données, cela consiste à trouver les ressources équivalentes et les lier avec des liens owl:sameAs. Ce problème est particulièrement difficile lorsque les ressources sont décrites dans différentes langues naturelles.Cette thèse étudie l'efficacité des ressources linguistiques pour le liage des données exprimées dans différentes langues. Chaque ressource RDF est représentée comme un document virtuel contenant les informations textuelles des sommets voisins. Les étiquettes des sommets voisins constituent le contexte d'une ressource. Une fois que les documents sont créés, ils sont projetés dans un même espace afin d'être comparés. Ceci peut être réalisé à l'aide de la traduction automatique ou de ressources lexicales multilingues. Une fois que les documents sont dans le même espace, des mesures de similarité sont appliquées afin de trouver les ressources identiques. La similarité entre les documents est prise pour la similarité entre les ressources RDF.Nous évaluons expérimentalement différentes méthodes pour lier les données RDF. En particulier, deux stratégies sont explorées: l'application de la traduction automatique et l'usage des banques de données terminologiques et lexicales multilingues. Dans l'ensemble, l'évaluation montre l'efficacité de ce type d'approches. Les méthodes ont été évaluées sur les ressources en anglais, chinois, français, et allemand. Les meilleurs résultats (F-mesure > 0.90) ont été obtenus par la traduction automatique. L'évaluation montre que la méthode basée sur la similarité peut être appliquée avec succès sur les ressources RDF indépendamment de leur type (entités nommées ou concepts de dictionnaires). / The Semantic Web extends the Web by publishing structured and interlinked data using RDF.An RDF data set is a graph where resources are nodes labelled in natural languages. One of the key challenges of linked data is to be able to discover links across RDF data sets. Given two data sets, equivalent resources should be identified and linked by owl:sameAs links. This problem is particularly difficult when resources are described in different natural languages.This thesis investigates the effectiveness of linguistic resources for interlinking RDF data sets. For this purpose, we introduce a general framework in which each RDF resource is represented as a virtual document containing text information of neighboring nodes. The context of a resource are the labels of the neighboring nodes. Once virtual documents are created, they are projected in the same space in order to be compared. This can be achieved by using machine translation or multilingual lexical resources. Once documents are in the same space, similarity measures to find identical resources are applied. Similarity between elements of this space is taken for similarity between RDF resources.We performed evaluation of cross-lingual techniques within the proposed framework. We experimentally evaluate different methods for linking RDF data. In particular, two strategies are explored: applying machine translation or using references to multilingual resources. Overall, evaluation shows the effectiveness of cross-lingual string-based approaches for linking RDF resources expressed in different languages. The methods have been evaluated on resources in English, Chinese, French and German. The best performance (over 0.90 F-measure) was obtained by the machine translation approach. This shows that the similarity-based method can be successfully applied on RDF resources independently of their type (named entities or thesauri concepts). The best experimental results involving just a pair of languages demonstrated the usefulness of such techniques for interlinking RDF resources cross-lingually.
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Applications semi-conformes et solitons de Ricci / Semi-conformal mappings and Ricci solitonsGhandour, Elsa 09 July 2018 (has links)
Dans cette thèse, nous étudions principalement les applications semi-conformes et leur influence sur la résolution de certaines équations géométriques importantes comme celle d’un soliton de Ricci et celle d’une application biharmonique. Dans la première partie, nous appliquons un ansatz qui permet de construire des applications semi-conformes à partir d’une équation différentielle en une fonction de deux variables. Nous caractérisons les solutions réelles-analytiques. Parmi les solutions explicites obtenues, nous trouvons le premier exemple d’une application semi-conforme non-harmonique définie entièrement sur R3 à valeurs dans le plan complexe. Dans la deuxième partie, nous étudions les solitons de Ricci. Nous nous intéressons aux solitons de dimension 3, où ils peuvent être décrits, au moins localement, en terme d’une application semi-conforme. Nous développons une nouvelle méthode de construction de ces solitons à partir des transformations biconformes, particulièrement adaptées à l’étude de l’unicité de la structure. Finalement, nous introduisons une nouvelle notion de morphisme harmonique généralisé qui, comme son nom l’indique, contient les morphismes harmoniques comme un cas particulier. Cette classe d’applications a une importance dans la théorie d’applications biharmoniques. Les morphismes harmoniques généralisés ont une caractérisation nette qui permet de donner plusieurs exemples et méthodes de construction d’applications biharmoniques non-harmonique. / In this work, we primarily study semiconformal mappings and their influence in the resolution of important geometric equations, such as those for a Ricci soliton and those for a biharmonic maps. In the first part of this thesis, we exploit an ansatz for the construction of semi-conformal mappings from a differential equation in a function of two variables. We characterize real-analytic solutions.Among the resulting explicit solutions, we find the first known example of an entire semi-conformal mapping into the plane which is not harmonic. In the second part, we study Ricci solitons.We are particularly interested in 3-dimensional Ricci solitons, as they can be described at least locally, in terms of a semi-conformal map. We develop a construction method of solitons from biconformal deformations, particularly adapted to the study of the structure unicity. Finally, we introduce a new notion of generalized harmonic morphism, which, as the name suggests, contain the harmonic morphisms as a special case. These mappings have an elegant characterization which enables the construction of explicit examples, as well as impacting on the theory of biharmonic mappings.
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Dynamical Properties of Families of Holomorphic MappingsPal, Ratna January 2015 (has links) (PDF)
Thesis Abstract
In the first part of the thesis, we study some dynamical properties of skew products of H´enon maps of C2 that are fibered over a compact metric space M . The problem reduces to understanding the dynamical behavior of the composition of a pseudo-random sequence of H´enon mappings. In analogy with the dynamics of the iterates of a single H´enon map, it is possible to construct fibered Green functions that satisfy suitable invariance properties and the corresponding stable and unstable currents. Further, it is shown that the successive pullbacks of a suitable current by the skew H´enon maps converge to a multiple of the fibered stable current.
Second part of the thesis generalizes most of the above-mentioned results for a com- pletely random sequence of H´enon maps. In addition, for this random system of H´enon maps, we introduce the notion of average Green functions and average Green currents which carry many typical features of the classical Green functions and Green currents.
Third part consists of some results about the global dynamics of a special class of skew maps. To prove these results, we use the knowledge of dynamical behavior of pseudo- random sequence of H´enon maps widely. We show that the global skew map is strongly mixing for a class of invariant measures and also provide a lower bound on the topological entropy of the skew product.
We conclude the thesis by studying another class of maps which are skew products of holomorphic endomorphisms of Pk fibered over a compact base. We define the fibered Fatou components and show that they are pseudoconvex and Kobayashi hyperbolic.
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A cartografia na era da cibercultura: mapeando outras geografias no ciberespaçoCanto, Tânia Seneme do [UNESP] 09 April 2010 (has links) (PDF)
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canto_ts_me_rcla.pdf: 3186094 bytes, checksum: 185fc9dc1340a2d0e290cf1b0451b53a (MD5) / Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) / A emergência das novas tecnologias de comunicação e informação tem transformado profundamente o modo de produzir mapas. As recentes ferramentas de mapeamento online abriram o mundo dos mapas para as pessoas em geral, permitindo que não cartógrafos criassem, individualmente ou colaborativamente, suas próprias representações espaciais. A presente pesquisa busca investigar as mudanças culturais introduzidas pelas tecnologias do ciberespaço nas práticas de mapeamento e nas representações criadas por elas. Desse modo, iremos apresentar uma discussão teórica sobre os caminhos que a cartografia contemporânea vem tomando nesse novo contexto técnico-cultural / The emergence of new technologies of communication and information has deeply transformed the way of making maps. The recently online mapping tools opened the world of maps to people in general, allowing non-cartographers to create, individually or collaboratively, their own spatial representation. This work searches to investigate the cultural changes introduced by cyberspace technologies in the practices of mapping and in the representations resulted from them. Then, we will present a theoretical discussion about the paths that contemporary cartography has been taking in this new technical-cultural context
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