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Axial magnetic flux motor for direct drive of pump
Knap, Zdeněk ; Ondrůšek, Čestmír (referee) ; Huzlík, Rostislav (advisor)
This thesis is related to axial flux permanent magnet machines. The first part is describes the basic information about this type of machines. Main part is focused on design of the machine. For the purpose of the preliminary design there is mathematical model of the basic machine. This model is followed by finite elements analysis for the further evaluations and validation of the mathematical design. The last part is evaluating the loses of the machine ant its virtual efficiency.
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Retirement home
Chalupská, Eva ; Šafránek, Ivan (referee) ; Utíkalová, Ivana (advisor)
The subject of this thesis is design of engineering documentation for senior people's home in Třebíč. The building has four levels where the first is based in underground. Basement provides spaces for technological support. The first floor and the second floor consist of residential units and have almost identical layout. On the top floor are management offices and service offices for residents, such is doctor, dentist, therapist or even hairdresser. Documentation also includes architectural concept.
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The transfer of elliptic curves onto the torus
Bajko, Jaroslav ; Hrdina, Jaroslav (referee) ; Kureš, Miroslav (advisor)
Elliptic curves are an essential part of modern mathematics and play an important role especially in cryptography. The bachelor work focuses on the visualization elliptic curves and group operation in real plane and torus. In the first chapter we will introduce elliptic curves over field of real numbers and above all over prime fields. In order to describe the problematics rigorously the graphical outputs and also the experimental results in the field of discrete elliptic curves will be mentioned. In the next section we will pay a particular attention to topology, functions between topological spaces and to the introduction of the concept of smooth manifold. We will search the suitable functions which can transfer geometrical objects from the real plane onto torus. A software specifically developed for transfering the elliptic curves onto the torus works on the basis of aforementioned functions.
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3-Coloring Graphs on Torus
Pekárek, Jakub ; Dvořák, Zdeněk (advisor) ; Šámal, Robert (referee)
The theory of Dvořák et al. shows that a 4-critical triangle-free graph embedded in the torus has only a bounded number of faces of length greater than 4 and that the size of these faces is also bounded. We study the natural reduction in such embedded graphs-identification of opposite vertices in 4-faces. We give a computer-assisted argument showing that there are exactly four 4-critical triangle-free irreducible toroidal graphs in which this reduction cannot be applied without creating a triangle. Using this result we demonstrate several properties that are necessary for every triangle-free graph embedded in the torus to be 4-critical. Most importantly we demonstrate that every such graph has at most four 5-faces, or a 6-face and two 5-faces, or a 7-face and a 5-face, in addition to at least seven 4-faces.
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Drawing graphs on surfaces of small genus
Tomášek, Jan ; Dvořák, Zdeněk (advisor) ; Šámal, Robert (referee)
Although there are many algorithms for drawing graphs on arbitrary surfaces, surprisingly few of them have been practically implemented. This thesis designs a user-friendly graphical interface for drawing graphs and torus, which allows checking the results of algorithms. The program supports displaying the surfaces in the polygonal representation and in their 3-dimension embedding. Furthermore we survey the algorithms for drawing graphs on surfaces and discuss their implementability. We chose one of the algorithms and evaluate its performance. Powered by TCPDF (www.tcpdf.org)
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Retirement home
Chalupská, Eva ; Šafránek, Ivan (referee) ; Utíkalová, Ivana (advisor)
The subject of this thesis is design of engineering documentation for senior people's home in Třebíč. The building has four levels where the first is based in underground. Basement provides spaces for technological support. The first floor and the second floor consist of residential units and have almost identical layout. On the top floor are management offices and service offices for residents, such is doctor, dentist, therapist or even hairdresser. Documentation also includes architectural concept.
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Axial magnetic flux motor for direct drive of pump
Knap, Zdeněk ; Ondrůšek, Čestmír (referee) ; Huzlík, Rostislav (advisor)
This thesis is related to axial flux permanent magnet machines. The first part is describes the basic information about this type of machines. Main part is focused on design of the machine. For the purpose of the preliminary design there is mathematical model of the basic machine. This model is followed by finite elements analysis for the further evaluations and validation of the mathematical design. The last part is evaluating the loses of the machine ant its virtual efficiency.
|
|
|
The transfer of elliptic curves onto the torus
Bajko, Jaroslav ; Hrdina, Jaroslav (referee) ; Kureš, Miroslav (advisor)
Elliptic curves are an essential part of modern mathematics and play an important role especially in cryptography. The bachelor work focuses on the visualization elliptic curves and group operation in real plane and torus. In the first chapter we will introduce elliptic curves over field of real numbers and above all over prime fields. In order to describe the problematics rigorously the graphical outputs and also the experimental results in the field of discrete elliptic curves will be mentioned. In the next section we will pay a particular attention to topology, functions between topological spaces and to the introduction of the concept of smooth manifold. We will search the suitable functions which can transfer geometrical objects from the real plane onto torus. A software specifically developed for transfering the elliptic curves onto the torus works on the basis of aforementioned functions.
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Using of the Riemannian integral for mathematical and physical calculus
MAREČEK, Ondřej
The theoretical part of the thesis includes introduction of Riemann integral and its qualities, introduction of function of more variables, introduction of double and triple Riemann integral and physical applications of integral. The practical part includes derivation of general area formulas for different shapes and volume formulas for different solids, in some examples there are shown different ways of solution. The practical part also includes the use of Riemann integral for the determination of centre of mass, of statical moments and moments of inertia of objects.
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