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Optimization Methods for Compensation of Shooting Inaccuracy
Horníček, Jan ; Novotný, Jan (referee) ; Popela, Pavel (advisor)
In this work there is performed analysis of inaccuracy shooting and its optimum corrections especially for playing darts. At rst the model describing inaccurate shooting is made. Using this model we received prerequisites for numerical solving of our problem. Computing algorithm was made and than was proven that our problem can be solved with arbitrary precision by this algorithm. The algorithm was implemented in MATLAB and modied using functional Analysis to minimize computing time. Our problem was solved by this algorithm and in conclusion was made simple application for visualization of received data.
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Differential equations for systems involving bottlenecks
Šimečková, Kateřina ; Horníček, Jan (referee) ; Kisela, Tomáš (advisor)
The thesis deals with an analysis of differential equations for systems involving bottlenecks. The employed mathematical model originates from a hydrodynamical analogy. Further, the notion of sustainability, i.e. a situation when queues in bottlenecks do not exceed allowed limits, is discussed. In particular, conditions and algorithms enabling to describe sustainability properties of a given system are provided. The results are illustrated on several examples.
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Discretely normed orders of quaternionic algebras
Horníček, Jan ; Skula, Ladislav (referee) ; Kureš, Miroslav (advisor)
Tato práce shrnuje autorův výzkum v oblasti teorie kvaternionových algeber, jejich izomorfismů a maximálních řádů. Nový úhel pohledu na tuto problematiku je umožněn využitím pojmu diskrétní normy. Za hlavní výsledky práce je možná považovat důkaz jednoznačnosti diskrétní normy pro celá čísla, kvadratická rozšíření těles a řády kvaternionových algeber. Dále větu, která umožňuje mezi dvěma kvaternionovými algebrami konstruovat izomorfismy explicitně vyjádřené v maticovém tvaru. A v neposlední řadě důkaz existence nekonečně mnoha různých maximálních řádů kvaternionové algebry. Výsledky uvedené v této diplomové práci budou dále publikovány ve vědeckém článku.
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Research Trends in Cell Biology Education
Horníček, Jan ; Vojíř, Karel (advisor) ; Pavlasová, Lenka (referee)
Cell biology is a scientific field that brings concepts, the knowledge of which is a essential for understanding the laws of life.It focuses on studying the cell as a fundamental building and functioning unit composing all living organisms For this reason, this bachelor thesis focuses on articles that analyze the didactics of cell biology and were published in the Web of Science database between 2018 and 2022. A total of 53 articles were selected. However, 28 of them were scientifically advanced texts that were not related to education. A total of 25 articles that dealt with the didactics of cell biology were analyzed. The main topics of those articles that were analyzed were teaching methods, misconceptions in cell biology, laboratory methods and procedures, visualization of cell biology topics, alternative classification systems, distance learning, concept maps, inquiry-based learning, role-playing, and cell biology topics projected into practice. The main conclusion is that the articles primarily focus on the tertiary level of education. Only marginally, 2 of the articles mention teaching at the secondary level of education. Misconceptions in cell biology are not represented in large numbers and truly new teaching methods are not represented. It would be useful to expand the database of...
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Differential equations for systems involving bottlenecks
Šimečková, Kateřina ; Horníček, Jan (referee) ; Kisela, Tomáš (advisor)
The thesis deals with an analysis of differential equations for systems involving bottlenecks. The employed mathematical model originates from a hydrodynamical analogy. Further, the notion of sustainability, i.e. a situation when queues in bottlenecks do not exceed allowed limits, is discussed. In particular, conditions and algorithms enabling to describe sustainability properties of a given system are provided. The results are illustrated on several examples.
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Discretely normed orders of quaternionic algebras
Horníček, Jan ; Skula, Ladislav (referee) ; Kureš, Miroslav (advisor)
Tato práce shrnuje autorův výzkum v oblasti teorie kvaternionových algeber, jejich izomorfismů a maximálních řádů. Nový úhel pohledu na tuto problematiku je umožněn využitím pojmu diskrétní normy. Za hlavní výsledky práce je možná považovat důkaz jednoznačnosti diskrétní normy pro celá čísla, kvadratická rozšíření těles a řády kvaternionových algeber. Dále větu, která umožňuje mezi dvěma kvaternionovými algebrami konstruovat izomorfismy explicitně vyjádřené v maticovém tvaru. A v neposlední řadě důkaz existence nekonečně mnoha různých maximálních řádů kvaternionové algebry. Výsledky uvedené v této diplomové práci budou dále publikovány ve vědeckém článku.
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Optimization Methods for Compensation of Shooting Inaccuracy
Horníček, Jan ; Novotný, Jan (referee) ; Popela, Pavel (advisor)
In this work there is performed analysis of inaccuracy shooting and its optimum corrections especially for playing darts. At rst the model describing inaccurate shooting is made. Using this model we received prerequisites for numerical solving of our problem. Computing algorithm was made and than was proven that our problem can be solved with arbitrary precision by this algorithm. The algorithm was implemented in MATLAB and modied using functional Analysis to minimize computing time. Our problem was solved by this algorithm and in conclusion was made simple application for visualization of received data.
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