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The experience of the Roma in the world of dominance of non-Romani normality
Reichel, Tomáš ; Ort, Jan (advisor) ; Berkyová, Renata (referee)
This thesis is based on research conducted in the form of in-depth interviews with two narrators. Its subject definition is the observation of the daily based lived experiences of Romani university students, I have taken Frantz Fanon's publication, Black Skin, White Masks, as the theoretical and methodological framework for this thesis. Here I present the narrators' experiences from their own perspectives, along with how the narrators themselves perceived them; then I focus on the selected experiences and examine them through the Fanon's work.
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Structure of division rings
Reichel, Tomáš ; Žemlička, Jan (advisor) ; Šaroch, Jan (referee)
This bachelor thesis deals with a theorem and its proof, which allows construction of division ring from cyclic field extension which satisfies certain conditions. The reader is expected to have basic knowledge of linear algebra, ring and module theory. For using this theorem the reader also needs some skills in counting Galois groups. In this work there are also included two basic examples of usage the theorem. During the proof we introduce a structure of tensor product and Brauer group. Powered by TCPDF (www.tcpdf.org)
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Bounds of number of empty tetrahedra and other simplices
Reichel, Tomáš ; Valtr, Pavel (advisor) ; Balko, Martin (referee)
Let M be a finite set of random uniformly distributed points lying in a unit cube. Every four points from M make a tetrahedron and the tetrahedron can either contain some of the other points from M, or it can be empty. This diploma thesis brings an upper bound of the expected value of the number of empty tetrahedra with respect to size of M. We also show how precise is the upper bound in comparison to an approximation computed by a straightforward algorithm. In the last section we move from the three- dimensional case to a general dimension d. In the general d-dimensional case we have empty d-simplices in a d-hypercube instead of empty tetrahedra in a cube. Then we compare the upper bound for d-dimensional case to the results from another paper on this topic. 1
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Structure of division rings
Reichel, Tomáš ; Žemlička, Jan (advisor) ; Šaroch, Jan (referee)
This bachelor thesis deals with a theorem and its proof, which allows construction of division ring from cyclic field extension which satisfies certain conditions. The reader is expected to have basic knowledge of linear algebra, ring and module theory. For using this theorem the reader also needs some skills in counting Galois groups. In this work there are also included two basic examples of usage the theorem. During the proof we introduce a structure of tensor product and Brauer group. Powered by TCPDF (www.tcpdf.org)
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