[pt] Um banco de dados estatístico consiste de um conjunto de observações feitas em pontos de um espaço lógico, e, muitas vezes, são organizados como cubos de dados. A definição adequada de cubos de dados, em especial de suas dimensões, ajuda a processar as suas observações e, mais importante, ajuda a combinar observações de cubos de dados diferentes. Neste contexto, os princípios de dados interligados podem ser proveitosamente aplicados à definição de cubos de dados, oferecendo uma estratégia para fornecer a semântica das dimensões, incluindo seus valores. Este trabalho introduz uma arquitetura de mediação para auxiliar no consumo de cubos de dados, expostos como triplas RDF e armazenados em bancos de dados relacionais. Os cubos de dados são descritos em um catálogo usando vocabulários padronizados e são acessados por métodos HTTP usando os princípios de REST. Portanto, este trabalho busca tirar proveito tanto dos princípios de dados interligados quanto dos princípios de REST para descrever e consumir os cubos de dados interligados de forma simples e eficiente. / [en] A statistical data set comprises a collection of observations made at some points across a logical space and is often organized as what is called a data cube. The proper definition of the data cubes, especially of their dimensions, helps to process the observations and, more importantly, helps to combine observations from different data cubes. In this context, the Linked Data Principles can be profitably applied to the definition of data cubes, in the sense that the principles offer a strategy to provide the missing semantics of the dimensions, including their values. This work introduces a mediation architecture to help consume linked data cubes, exposed as RDF triples, but stored in relational databases. The data cubes are described in a catalogue using standardized vocabularies and are accessed by HTTP methods using REST principles. Therefore, this work aims at taking advantage of both Linked Data and REST principles in order to describe and consume linked data cubes in a simple but efficient way.

Cette thèse est une contribution au domaine des cubulations de groupes hyperboliques au sens de Gromov. Nous nous intéressons au cas particulier des groupes fondamentaux de variétés hyperboliques réelles compactes. La philosophie inspirée dans ce domaine par les travaux de M. Sageev est que si un groupe hyperbolique possède suffisamment de sous-groupes de codimension 1 quasi-convexes, alors il agit géométriquement sur un complexe cubique CAT(0) de dimension finie. Nous démontrons un critère précis de cubulation pour les groupes fondamentaux de variétés hyperboliques compactes, à l'aide de constructions d'espaces à murs quasi-isométriques à l'espace hyperbolique réel. Nous nous restreignons par la suite au cas particulier de la dimension 3 et plus particulièrement aux 3-variétés hyperboliques compactes virtuellement fibrées sur le cercle. Nous exploitons alors une construction de surfaces immergées incompressibles dites coupées-croisées due à D. Cooper, D. Long et A. Reid dans une telle 3-variété M pour fabriquer des sous-groupes de surface de son groupe fondamental~G. En raffinant des arguments de J. Masters et en exploitant la structure de l'application de Cannon-Thurston, nous parvenons à construire des sous-groupes de surfaces quasi-convexes de G en quantité suffisante pour que leurs ensembles limites permettent de séparer toutes les paires de points distincts du bord du revêtement universel de M. En conséquence de cette construction, G agit géométriquement sur un complexe cubique CAT(0) de dimension finie. D. Wise soulève alors la question de savoir si ce groupe G peut agir géométriquement et également virtuellement co-spécialement (au sens de F. Haglund et D. Wise) sur un complexe cubique CAT(0). Une réponse positive résoudrait les conjectures selon lesquelles G est large et le premier nombre de Betti virtuel de M est infini. Nous faisons remarquer que pour obtenir une réponse positive à cette question, il suffit de trouver une surface coupée-croisée virtuellement plongée dans un revêtement fini fibré sur le cercle de M. Nous concluons en présentant des conditions algébriques, puis géométriques et cohomologiques suffisantes pour qu'une surface coupée-croisée donnée soit virtuellement plongée. / This thesis contributes to the study of geometric actions of word-hyperbolic groups on finite dimensional CAT(0) cube complexes. We are mainly interested in the case of fundamental groups of closed hyperbolic manifolds. The philosophy coming from pioneer work of M. Sageev is that a hyperbolic group with sufficiently many quasi-convex codimension one subgroups acts geometrically on a finite dimensional CAT(0) cube complex. We prove a precise criterion for cubulation in the case of closed hyperbolic manifolds, by constructing spaces with walls quasi-isometric to real hyperbolic space. We next focus on the case of three dimensional closed hyperbolic manifolds which are virtually fibered over the circle. In this setting, we use a construction of incompressibly immersed cut-and-cross-join surfaces due to D. Cooper, D. Long and A. Reid that yields surface subgroups of the fundamental group G of the 3-manifold M. By expanding on work of J. Masters and using the structure of the Cannon-Thurston map, we are able to build many quasi-convex surface subgroups of G whose limits sets may be used to separate any pair of distinct points in the boundary of the universal cover of M. As a consequence, G acts geometrically on a finite dimensional CAT(0) cube complex. D. Wise then asks if it is possible that G acts both geometrically and virtually co-specially (in the sense of F. Haglund and D. Wise) on a CAT(0) cube complex. A positive answer would solve the long-standing conjectures that G is large and M has infinite virtual first Betti number. We then explain why finding a virtually embedded cut-and-cross-join surface in a finite cover of M would be enough to solve this problem. Finally, we give some algebraic and then geometric and cohomological sufficient conditions for a given cut-and-cross-join surface to virtually embed.

<p>The focus of this essay is to investigate if there lies a difference between graffiti art that is placed in the public spaces and graffiti art that is sited in an institutional art setting; in this essay exemplified in a gallery space. My thesis is that graffiti art derives a great deal of its meaning and substance from its situation consequently making a change of cultural context also a change of connotation and understanding of the graffiti art itself.  Meaning that graffiti art situated in a communal space is different from graffiti art situated in the gallery space. They share aesthetic expression but their connotations differ; i.e. one being illegal and the other permissible making their meanings dissimilar. I have used a comparison between site-specific art and graffiti art to further strengthen my thesis concerning the importance of understanding how a change of context critically changes the substance of graffiti art.</p>

The focus of this essay is to investigate if there lies a difference between graffiti art that is placed in the public spaces and graffiti art that is sited in an institutional art setting; in this essay exemplified in a gallery space. My thesis is that graffiti art derives a great deal of its meaning and substance from its situation consequently making a change of cultural context also a change of connotation and understanding of the graffiti art itself.  Meaning that graffiti art situated in a communal space is different from graffiti art situated in the gallery space. They share aesthetic expression but their connotations differ; i.e. one being illegal and the other permissible making their meanings dissimilar. I have used a comparison between site-specific art and graffiti art to further strengthen my thesis concerning the importance of understanding how a change of context critically changes the substance of graffiti art.

Étant donné un modèle de super-population (des variables aléatoires sont générées indépendamment et selon une même loi initiale sur une population) et un plan de sondage informatif, une loi de probabilité limite et une densité de probabilité limite des observations sur l'échantillon sont définies correspondant à des tailles de population et d'échantillon tendant vers l'infini. Le processus aléatoire de sélection peut induire une dépendance entre les observations sélectionnés. Un cadre asymptotique et des conditions faibles sur le processus de sélection sont donnés, sous lesquels les propriétés asymptotiques classiques sont conservées malgré la dépendance des données : la convergence uniforme de la fonction de répartition empirique. Par ailleurs, nous donnons la vitesse de convergence de l'estimateur à noyau de la densité vers la densité limite de l'échantillon. Ces résultats constituent des indications selon lesquelles il est parfois possible de considérer que les réalisations sur l'échantillon sont id et suivent approximativement la densité limite définie, notamment dans une perspective d'inférence sur le modèle de super-population. Par exemple, étant donné un modèle paramétrique on peut définir la vraisemblance approchée de l'échantillon comme produit de densités limites et un estimateur de maximum de vraisemblance approchée, dont on établit la normalité asymptotique . La dernière partie traite de tirage équilibré : des algorithmes de calcul de probabilités d'inclusion minimisant une approximation de la variance de l'estimateur de Horvitz-Thompson d'un total sont proposés.

TITLE: Agebraic Curves in History and School AUTHOR: Bc. Tomáš Fabián DEPARTMENT: The Department of mathematics and teaching of mathematics SUPERVISOR: prof. RNDr. Ladislav Kvasz, Dr. ABSTRACT: The thesis includes a series of exercises for senior high school students and the first year of university students. In these exercises, students will increase their knowledge about conics, especially how to draw them. Furthermore, students can learn about two unfamiliar curves: Conchoid and Quadratrix. All these curves are afterwards used for solving other problems - some Apollonius's problems, Three impossible constructions etc. Most of the construction is done in GeoGebra software. All the tasks are designed for students to learn how to work with this software. The subject discussed is put into historical context, and therefore the exercises are provided with historical commentary. The thesis also includes didactic notes, important or interesting solutions of exercises, possible issues, mistakes and another relevant notes. KEYWORDS: conic, circle, ellipse, parabola, hyperbole, conchoid, quadratrix, trisecting an angle, squaring the circle, rectification of the circle, doubling a cube, Apollonius's problem, GeoGebra

Manual data exploration in data cubes and searching for potentially interesting and useful information starts to be time-consuming and ineffective from certain volume of the data. In my thesis, I designed, implemented and tested a system, automating the data cube exploration and offering potentially interesting views on OLAP data to the end user. The system is based on integration of two data analytics methods - OLAP analysis data visualisation and data mining, represented by GUHA association rules mining. Another contribution of my work is a research of possibilities how to solve differences between OLAP analysis and association rule mining. Implemented solutions of the differences include data discretization, dimensions commensurability, design of automatic data mining task algorithm based on the data structure and mapping definition between mined association rules and corresponding OLAP visualisation. The system was tested with real retail sales data and with EU structural funds data. The experiments proved that complementary usage of the association rule mining together with OLAP analysis identifies relationships in the data with higher success rate than the isolated use of both techniques.

This thesis discusses possibilities of accelerated 3D scene displaying in a Web browser. In more detail, it deals with WebGL standard and its use in real applications. An application for visualization of volumetric medical data based on JavaScript, WebGL and Three.js library was designed and implemented. Image data are loaded from Google Drive cloud storage. An important part of the application is 3D visualization of the volumetric data based on volume rendering technique called Ray-casting.

The diploma thesis focuses on the analysis of the current state of reporting and data analysis of the ALVAO Service Desk system in the company's internal operation. Based on the findings of deficiencies, a new method of reporting and data analysis on the Microsoft Power BI platform is proposed. The proposal includes the entire Power BI feature cycle from data accessing to sharing.

Title: Construction of elementary pupils' geometric schemas via motivating learning environments Author: Jaroslava Kloboučková Department: Department of mathematics and mathematics education Supervisor: doc. RNDr. Darina Jirotková, Ph.D. Abstract: The aim of the dissertation is to discuss teaching geometry as integral part of mathematics education at the primary school level. The thesis also documents a longitudinal teaching study which was initiated in 2010 and which gives us a base for discussion of some fundamental questions regarding the process of learning geometry for pupils in their early school years. The main objective here is to attempt to answer the following four didactic questions: In which way do pupils learn about geometrical objects? How do they share their geometrical knowledge, experience and discoveries with one another? How much (at what level) are they able to understand mathematical concepts that the official curricular documents (the Czech Framework for Education Program) place in later years of schooling? What phenomena are they able to grasp and describe using their mother tongue? The theoretical framework focuses on the learning process and the typology of mathematical problems in geometry. Four specific engaging environments (Cube Buildings, Origami, Wooden Sticks, and Tiles) and...