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Space-filling curves
Ceháková, Lydia ; Rmoutil, Martin (advisor) ; Staněk, Jakub (referee)
The first part of this thesis deals with Cantor's bijection and the historical develop- ment of the notion of curve. Here, the proof of existence of Cantor's bijection is introduced and it is followed by a discussion of the importance of this bijection for further advance- ment of mathematics and the theme of space-filling curves. The section about historical development of curves explores different approaches to the definition and its changing interpretation through time, from the Ancient Greece up until the 20th century. The second part of the thesis introduces the issue of space-filling curves. The segment descri- bes different methods of space-filling curves construction, particularly the geometric and the arithmetic construction of the Hilbert and the Peano Curve, as these were the first examples of the said curve. Furthermore, typical properties of the space-filling curves are discussed, explained and proofed with special attention dedicated to their nowhere diffe- rentiability. There are also some additional examples of 2D space-filling curves - including the Sierpiński Curve - and some 3D variations of some of them. The illustrative figures presented throughout the text are also a crucial component of the thesis. 1
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OLAP Data Storage Methods
Dittrich, Petr ; Kroulík, Jan (referee) ; Hruška, Tomáš (advisor)
The topic of the bachelor work is the OLAP core implementation for the data storage space. All theoretical facts about the data storage space are discussed at the start. The form of metadata elements storage and the OLAP cubes creating are described in the following part. And finally, in the last chapter, it is precisely shown how to create a cube in this system.
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Thinking the psychedelic
Michalik, Tadeáš ; Marek, Jakub (advisor) ; Novák, Aleš (referee)
2 Abstract In this text, we are asking if it is possible to think the 'psychedelic' without labelling it as 'different', 'imaginary', 'fantastic' or 'unreal', and without thinking it as a particular experiential region belonging specifically to human experience. By first thinking 'experience', we are then attempting to relate the psychedelic experience to human experience considered in the simple joining of its basic dimensions, and to think both of these experiential modalities through the same motives. If we think 'experience' as opening itself through its boundaries, which limit and thus open the dimensions through which the fundamental relation of presencing and apprehension plays, then we can think the psychedelic using the concept of 'layer' derived from the concept of 'boundary'. We first think the phenomena of transparency of time, of transparent attunement and of transparent clarity, which belong to human experience in its simplicity. We then think the phenomenon of disjoining of the basic dimensions of human experience, which takes us from human experience in its simplicity, through strangeness, towards the psychedelic. Lastly, we think the phenomenon of permeating, taking us to the simply joined or disjoined dimensions of human and non-human experience being played out in their layeredness...
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Drawing polytopes in various dimensions
Ondráček, Lukáš ; Šámal, Robert (advisor) ; Mareš, Martin (referee)
The thesis describes implementation of an application for drawing three- and multidimensional polytopes allowing their fluent rotation. The application Geometric Figures for Linux and Windows is written in the C language using the OpenGL library and it supports plug-ins written in the Python language. Iterated perspective projection and edges coloring according to their location is used. In addition, the application is able to generate the convex hull of a set of points, cut figures with hyperplanes, stellate figures, create geometrically dual polytopes and cut off parts of figures; all functions are independent to the number of dimensions of the polytopes. The application profits from its easy extensibility using modules and its code being open-source. Powered by TCPDF (www.tcpdf.org)
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Kingdom of God in a Multidimensional Understanding
Očenášová, Jaroslava ; Vogel, Jiří (advisor) ; Kučera, Zdeněk (referee)
The object and the aim of this thesis is to understand the Kingdom of God in a multidimensional model of reality that Karl Heim represented in his book Glaube und Denken (Belief and Thinking). The starting point of this work is a biblical glad tidings of God's Kingdom. The author is trying to do in the first part of this thesis at least a fractional analysis of the understanding of this message during a history and in the next part also the synthesis of its interpretations within the multidimensionality, which she is also striving to explain. The hypothesis of this work is that different interpretations of the Kingdom of God cannot be seen separately but simultaneously on the whole, in the light of the highest dimension, in the light of truth that is with God. At the end of this work is this hypothesis largely confirmed in interpretations of some theologists in the 20th century.
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Gravitation in higher dimensions
Kubíček, Jan ; Pravdová, Alena (advisor) ; Žofka, Martin (referee)
The thesis starts with a brief introduction to the algebraic classificati- on of tensors and spacetimes in higher dimensions. Attempts to generalize the Goldberg-Sachs theorem are also discussed. There is a summary of main results for optical matrices of algebraically special spacetimes in higher dimensions. The optical matrix for a type III spacetime in six dimensions is found using Bianchi identities. A few properties of type III optical matrices in a general dimension are also found. Various properties of equations obtained from Bianchi identities for type III spacetimes are studied in appendices. 1
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Application of Management Control System in a Company
Křesťan, Filip ; Augustinová, Hana (referee) ; Žižlavský, Ondřej (advisor)
The diploma thesis focuses on the analysis of the use of controlling in selected company. The diploma thesis is divided into three parts. The first part deals with theoretical knowledge about controlling, especially its development and division. The second part of the thesis deals with the analysis of the current state of controlling in selected company. The last part of the thesis is based on the findings of the previous analysis and proposes possible solutions, such as controlling business management, center management system and structured reporting system.
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Projective geometry codes
Požárková, Zuzana ; Drápal, Aleš (advisor) ; Holub, Štěpán (referee)
In the presented work we define a class of error-correcting codes based on incidence vectors of projective geometries, including the necessary basis of coding theory and projective geometries. A detailed calculation is performed to show the dimension of these codes. In conclusion we concern ourselves with majority decoding. This work is a summary of the results of some known authors engaged in this field. We continue on some of these results and we present evidence of some of the statements, which have been proven differently by other authors.
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Singular points of algebraic varieties
Vančura, Jiří ; Příhoda, Pavel (advisor) ; Šťovíček, Jan (referee)
This thesis is an introduction to exploring singularities of algebraic varieties. In the first chapter, we state basic definitions and theorems necessary for exploring singularities. Firstly, we define algebraic varieties and their corresponding ideals and explain the term of Krull dimension. We also focus on the local properties of varieties. In the second chapter, we begin by examining the term of singularity in detail and introducing methods for searching for singularities. We prove two theorems about the shape and the dimension of singularities. In the second part, we prove theorems about the zero divisors, which enable us to define Cohen-Macaulay and Gorenstein rings. We use them to roughly classify singularities of algebraic varieties.
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Business Intelligence solutions in a company Topaz
Kochkonyan, Gretta ; Pour, Jan (advisor) ; Fortinová, Jana (referee)
The main objective of this bachelor thesis is to analyze the business environment of the company Topaz and to design a BI solution prototype based on this analysis and requirements of company. The solution will be used in subsequent support for the managerial decisions of the business owner. The necessary condition for fulfilling the objective of this thesis was the access to the in-formation system of the company and to the data that were used as a basis for the analysis and design of the Business Intelligence solution. Access to the IS and its data has been granted by the owner of the company Topaz. The work is divided into theoretical part, which describes the basic characteristics of BI, or the Self-Service BI respectively, and to the practical part, where the running of the company is described with an emphasis on the support of an established information system. Then, an initial study is conducted, including requirements, with which the dimensional model is made. Finally, samples of the respective reports are presented.
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