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Combinatorial sequences and divisibility
Michalik, Jindřich ; Slavík, Antonín (advisor)
This work contains an overview of the results concerning number-theoretic pro- perties of some significant combinatorial sequences such as factorials, binomial coef- ficients, Fibonacci and Catalan numbers. These properties include parity, primality, prime power divisibility, coprimality etc. A substantial part of the text should be accessible to gifted high school students, the results are illustrated with examples. 1
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Practical didactic tests for preparation for the math matriculation examination
PIVOŇKA, Jiří
This bachelor thesis deals with the practical didactic tests for the math matriculation examination. It is divided into two parts. The first part is divided into 7 chapters. Each chapter deals with a specific thematic subjects for the math matriculation examination. The second part includes 3 didactic tests. For each didactic test is assigned solution. The aim of this bachelor thesis is to help students perform math matriculation examination.
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Combinatorial sequences and divisibility
Michalik, Jindřich ; Slavík, Antonín (advisor) ; Staněk, Jakub (referee)
This work contains an overview of the results concerning number-theoretic pro- perties of some significant combinatorial sequences such as factorials, binomial coef- ficients, Fibonacci and Catalan numbers. These properties include parity, primality, prime power divisibility, coprimality etc. A substantial part of the text should be accessible to gifted high school students, the results are illustrated with examples. 1
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Fairy tale as a space for artistic reinterpretation
Švajková, Monika ; Velíšek, Martin (advisor) ; Kafková, Helena (referee)
Fairy tale as a space for an art reinterpretation Bc. Monika Švajková Abstract The thesis introduces authors view on the evolution of fairy tales in Europe and its transformation since 19th century in literature, visual arts and related field of knowledge. Its purpose was to create an art project that would connect cultures of Czech Republic and Finland through fairy tales and fine art. Resulting didactical tasks develop fairy tales of one country through contemporary art of the other. The tasks apply to several conceptions of teaching as the implementation took place at the primary art school, high school and lappish art gallery. The art project closes with authors art etudes that expand theme of the forest as an area for updating of fairy tales and simultaneously captures the authors view on the theme of fairy tales. The outcomes and benefits of the thesis were verification of the didactical tasks that would in contemporary art update the classic children literature in context of these two countries.
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The mathematical theory of juggling
Zamboj, Michal ; Slavík, Antonín (advisor) ; Halas, Zdeněk (referee)
Title: The mathematical theory of juggling Author: Bc. Michal Zamboj Department: Department of Mathematics Education Supervisor: RNDr. Antonín Slavík, Ph.D. Abstract: This diploma thesis extends the bachelor thesis of the same name. It deals with the graphic representation of juggling sequences by the cyclic diagram. Using the Burnside theorem and cyclic diagrams, we calculate the number of all genera- tors of juggling sequences. The relation between juggling and the theory of braids is described as well. The mathematical model of inside and outside throws is made from an empirical observation of trajectories of balls. Braids of juggling sequences and their attributes are provided using a real model of ladder. A sketch of the proof of the theorem that any braid is juggleable is given as well.
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Subjective tests of influence of the content of the scene on the spatial effect of 3D images and videos
Kaučiarik, Filip ; Kufa, Jan (referee) ; Boleček, Libor (advisor)
This thesis is concerning with study of video sequence parameters which influence the quality of picture during watching 3D frames and videos. It´s focused on comparing individual parameters of video sequences which are spatial and temporal information and depth map range and their influence on subjective testing and assessment of quality of experience by respondents . This thesis contains specification of testing sequence plan based on diversity of video sequence parameters and also a layout of subjective testing. An absolute parameter J was determined to achieve the maximum effect of objective parameters of sequency to 3D effect and comfort of the scene within subjective assessment.
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Visual Narrative Elements in Human-Computer Interaction
Galová, Ružena ; Brejcha, Jan (advisor) ; Fišerová, Michaela (referee)
User interface elements and the order in which they are organized and perceived by the user are creating particular narrative - visual narrative. This narrative, which is interpreted by users, should serve as a visual tool to guide users through the process of interaction. Meaning of the interface is created through visual relationships and their hierarchy. Visual narrative can guide the user through the necessary steps of interaction by using an appropriate spacing and enhancing of interfaces elements. Presentational diploma thesis demonstrates that structure of visual narrative has a particular impact on a quality of human-computer interaction. The case study represents application of constructed principles on the selected web pages of airline reservation systems.
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The mathematical theory of juggling
Búzik, Michal ; Slavík, Antonín (advisor) ; Karger, Adolf (referee)
Title: The mathematical theory of juggling Author: Michal Búzik Department: Department of Mathematics Education Supervisor: RNDr. Antonín Slavík, Ph.D. Abstract: This bachelor thesis is concerned with methods of mathematical descrip- tion of juggling. The main part deals with notation of simulation of throwing balls using integer sequences, so-called siteswaps. It indicates generating, mutual relations and ways of graphic interpretation of these sequences in diagrams. Summarized re- sults with generalization of all possible calculations of juggling sequences according to restrictive aspects are provided in this thesis. Beside usage of combinatorics and graph theory, there are also relations between juggling and braid theory, and change ringing interpreted. Keywords: juggling, sequence, siteswap
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Algorithmic Generation of Esthetical Rhytmical Sequences
Mahnert, Jakub ; Klepárník, Petr (referee) ; Beran, Vítězslav (advisor)
The goal of this project is to design and implement a system, suited for proving or disproving the claim that it is possible to generate unique rhythmical sequences, which a human will perceive as aesthetical. In the project, a framework, aiding the design of such algorithms that create rhythmical sequences using composition was implemented. On top of it, several such algorithms were implemented with the notion to test their performance using a custom testing front end solution. From the gained data, the project tries to find correlations between the aspects of the algorithms with the resulting perceived aesthetical value as well as attempt to answer the initial conundrum.
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