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Imagination of infinity
Semerád, Martin ; Pauza, Miroslav (advisor) ; Sak, Petr (referee) ; Jirků, Petr (referee)
This work deals with a basic question of modern science and it is its indefectibility. Quality of education is reduce to an evaluation of conformity to a common known knowledge and its quantity representation. Seeds of this long process go back to an ancient academia of Gondisapur established in an Arabic world. Author proclaims that the main goal of philosophy is to show, that this is not the only way of thinking and in the same time that the main goal and power of phenomenology is to apply the transcendental epoche to overcame the truth in its regularization shape. The hardcore of modern science is located in the world of mathematics and a lot of thinkers find the Math as a land of pure sureness - the core of this work in an opposite proofs, that in fact nowadays math is all, but the correct way of thinking. The two examples are explicit: the Pythagorean Theorem and the Sum of the geometric row. This work brings a quite new view on the mathematical problem of "the point" and "the nothing" as a border of things. In the second part uses as a frame of its topic the first 18 §§ of the work "Paradoxes of the infinite" by Czech mathematician of German mother tongue Bernard Bolzano. The important idea of this study is a new ontological view on the set of prime numbers.
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Vector Analysis in GIS Systems
Životský, Tomáš ; Peringer, Petr (referee) ; Hrubý, Martin (advisor)
This master's thesis deals with the geographic information systems with an emphasis on so - called vector analysis . The aim of the thesis is to create a library that implements the internal representation of geographic data and performs analytical operation over them . The thesis describes the logical structure of the application and the hierarchy of abstract classes . In the form of pseudo -code is shown a set of individual computing operations . Work is strongly based on geographic system GRASS. This GIS is connectable through import and export vector data in shapefile format. Concept of storing layers is designed for ease of data manipulation and their portability . The main idea behind the application is to split the library into individual modules . These modules are independent , but also can benefit from each other's functions . In conclusion are demonstrated implemented vector analysis and representation of their calculation .
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The Point System as a Road Safety Tool
Habásko, Jakub ; Ptáček, Petr (referee) ; Semela, Marek (advisor)
HABÁSKO Jakub: The Point System as a Road Safety Tool. The Master´s thesis of Master degree, second grade, school year 2010/2011, Brno University of Technology, Institute of Forensic Engineering, May 2011, pages 198, pictures 12, tables 6, supplements 21. The thesis is elaborated in frame of the Master degree, study branch Expert Engineering in Transport. In this diploma thesis is in detail introduced Penalty Point System in our country and in other selected european countries. The thesis further contains the part about comparing Road Safety in our country and in other selected countries from the point of view of statistics. Most frequented offences and criminal offences in our country were analyzed. In the final part of this thesis is the suggestion of changes in point system. In the last chapter is introduced actual amendment of the Road Safety Act.
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Software support of education in cryptography area based on elliptic curves
Szturc, Jakub ; Sobotka, Jiří (referee) ; Burda, Karel (advisor)
The master‘s thesis is focusing on cryptography based on elliptical curves consists of four main parts. The first part provides an overview of the basic cryptographic and mathematical concepts. A key element of this work is the second part which are described in detail the mechanisms of counting two points on elliptic curve and counting point to themselves over the various fields. On this mechanism is based almost the entire issue. In the third section provides the best-known algorithms and protocols for key exchange, encryption and digital signature. The goal of this paper is to devise software to support teaching. This material is created as a web presentation, which described the theoretical foundations and the main characteristics of cryptosystems based on elliptical curves. The whole issue is supported by practical examples of calculations examples, there are also examples for independent work. Additionally, java applets are prepared that allow an interactive opportunity to try the basic parameters of curves, or verify the calculations.
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