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Radon-Nikodým compact spaces
Cepák, Jiří ; Holický, Petr (referee) ; Spurný, Jiří (advisor)
In the present work we study Radon-Nikodým compact spaces (RN compacta for short) their topological characterizations and properties with emphasis on those related to the problem of continuous image of RN compact. First chapter consists of auxiliary results. In second chapter we give eight characterizations of RN compacta as well as several examples. In third chapter we introduce three notions weaker than that of RN compact and stable under continuous images and we show that they are equivalent. Last chapter is devoted to partial positive solutions to the problem of continuous image.
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Space and architecture photographers
Uhlíková, Jarmila ; Grygar, Štěpán (advisor) ; Silverio, Robert (referee)
The theses discuss the issue of photographing a specific place which is closely related to the spaces of all kinds and to architecture. It is limited to the so called ?no name architecture? that does not have a known author ? mainly common houses and utility buildings but also specific places in the countryside or in a city such as gardens or parking lots. The emphasis is on the connection between the space and its photographic representation. It is demonstrated in the work of particular authors. It explores the questions of making a photographic picture of a space, author´s choice and their influence on the result as well as the impression the particular photographs leave in their viewers. The main idea of this paper is to offer an overview of basic approaches to photographing places that have been used since the 60s of 20th century till present.
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Space and Reality in Artistic Paitings
Martin, Ivan ; Šamšula, Pavel (referee) ; Hůla, Zdenek (advisor)
This thesis, regarding the possibilities of space constructing in panitings, presents various settled forms of displaying the reality on examples. These examples are representative of different artistic epoches. The firsts part "Resources of space constructing in artistic painting", includes the treatise concerning the main principles of space as it applies to painting. It also includes a short essays about other contexts related to artistic paintings. This part of the thesis has been compiled from different critiques of individual works illustrating different aspects of representation in multi-dimentional space. The second part "Language of Art" is a resume of the survey how students understand paitings and it also contains a suggestion of a didactic application. The third part "Space and reality in Art, theoretic and illusional space" takes the practical part of this thesis to a new level and combines it with theory, while at the same time adding a detailed description of creating a diptych (2 part painting)
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Tree-based indexing methods for similarity search in metric and nonmetric spaces
Lokoč, Jakub
Title: Tree-based Indexing Methods for Similarity Search in Metric and Nonmetric Spaces Author: Mgr. Jakub Lokoč Department: Department of Software Engineering Faculty of Mathematics and Physics Charles University in Prague Supervisor: Doc. RNDr. Tomáš Skopal, Ph.D. Author's e-mail address: lokoc@ksi.mff.cuni.cz Supervisor's e-mail address: skopal@ksi.mff.cuni.cz Abstract: The M-tree is a well-known indexing method enabling efficient similarity search in metric spaces. Although the M-tree is an aging method nowadays, we believe it still offers an undiscovered potential. We present sev- eral approaches and directions that show how the original M-tree algorithms and structure can be improved. To allow more efficient query processing by the M-tree, we propose several new methods of (parallel) M-tree construction that achieve more compact M-tree hierarchies and preserve acceptable con- struction cost. We also demonstrate that the M-tree can be simply extended to a new indexing method - the NM-tree, which allows efficient nonmetric similarity search by use of the TriGen algorithm. All these experimentally verified improvements show that the M-tree can still be regarded as an im- portant dynamic metric access method suitable for management of large collections of unstructured data. Moreover, all the improvements can be...
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Integral representation theorems in noncompact cases
Kraus, Michal ; Malý, Jan (referee) ; Lukeš, Jaroslav (advisor)
Classical Choquet's theory deals with compact convex subsets of locally convex spaces. This thesis discuss some aspects of generalization of Choquet's theory for a broader class of sets, for example those which are assumed to be only closed and bounded instead of compact. Because Radon measures are usually defined for locally compact topological spaces, and this is not the case of the closed unit ball in a Banach space of infinite dimension, there are used the so called Baire measures in this setting. This thesis particularly deals with the question of existence of resultants of these measures, with the properties of the resultant map, with the analogy of Bauer's characterization of extreme points and with some other concepts known from compact theory. By using some examples we show that many of these theorems doesn't hold in noncompact setting. We also mention forms of these theorems which can be proved.
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