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Application of Geometric Algebras in Quantum Computing
Michálek, Jan ; Eryganov, Ivan (referee) ; Vašík, Petr (advisor)
Tato práce se zabývá využitím geometrických algeber v oblasti kvantového počítání. Nejprve je definována obecná Cliffordova algebra a následně je odvozena specifická komplexní geometrická algebra, která je vhodná pro reprezentaci kvantových výpočtů. Tento přístup je porovnán s tradiční metodou použití klasické maticové reprezentace. Cílem práce je poskytnout poznatky o potenciálních výhodách použití geometrických algeber pro kvantové výpočty.
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Genomy chromeridních řas
MICHÁLEK, Jan
This work is mainly focused on the annotation of genomes of an important group of alveolate algae, which are the closest known phototrophic relatives of sporozoan parasites. The analysis is aimed to annotate their mitochondrial and nuclear genomes and search for biosynthetic pathways essential for sporozoans by combining the in-silico approach with supportive experiments. The initial study describes mitochondrial genomes of Chromera velia and Vitrella brassicaformis and models their unprecedently divergent respiratory chains. The following study summarizes the general characteristics of nuclear genomes of the two chromerids, highlights main genomic features shared with apicomplexan parasites, and traces the evolutionary transitions from the phototrophic ancestor to the obligate apicomplexan parasites. The study was completed by a comprehensive biochemical, genetic, and evolutionary analyses of fatty acid biosynthesis in chromerids.
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Source Parameters of Microearthquakes and their Uncertainties
Michálek, Jan ; Fischer, Tomáš (advisor) ; Gallovič, František (referee) ; Kwiatek, Grzegorz (referee)
Title: Source Parameters of Microearthquakes and their Uncertainty Author: Jan Michálek Department: Department of Geophysics Supervisor: Doc. RNDr. Tomáš Fischer, PhD., Institute of Hydrogeology, Engineering Geology and Applied Geophysics, Charles University in Prague Abstract: The aim of this thesis is to analyze the spectral methods used for the determination of the earth- quake source parameters like the seismic moment M0 and the corner frequency fc and to apply these meth- ods to seismic data from the West Bohemian region. Considering some assumptions about the source the other important parameters like the source radius r or the stress drop in the source ∆σ can be evaluated. Determination of the parameters is performed in the spectral domain by comparing a simple Brune's source model (non-causal slip on a circular rupture; spectral slope ω−2) with the displacement of the P or S wave. The methods were applied to 56 selected earthquakes of the West Bohemian swarms from 2000 and 2008 by the absolute and relative approach in several modifications. The absolute method allows to determine not only the source parameters but also the quality factor Q (attenuation), which significantly affects the deter- mination of fc. Therefore, the absolute method was applied also as the joint inversion when Q is stabilized....
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THE ANALYSIS OF MULTIELECTRODE RESISTIVITY MEASUREMENTS IN CASE OF SUBHORIZONTAL BOUNDARIES
Michálek, Jan ; Zima, Ladislav (advisor) ; Kněz, Jaroslav (referee)
5 The analysis of multielectrode resistivity measurements in case of subhorizontal boundaries Abstract: The aim of the diploma thesis is to analyse resolution of multielectrode resistivity measurements in case of subhorizontal boundaries. In many cases the position of horizontal boundaries from the 2D inverted section is not definitely determined. For this reason is looked for new methods to specify the localization of the boundaries. New parameters - reflection coefficient and longitudinal conductance - which were not used in these connections before are examined. Characteristics of these parameters for horizontally layered sections are studied by means of forward modelling. In addition, usability of these parameters is tested by applying them to measured field data on a profile which geological section is known from the boreholes. Attention is also payed to 1D inversion of measured field data. Key words : multielectrode resistivity measurements, horizontal boundaries, data inversion, reflection coefficient, longitudinal conductance
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Source Parameters of Microearthquakes and their Uncertainties
Michálek, Jan ; Fischer, Tomáš (advisor) ; Gallovič, František (referee) ; Kwiatek, Grzegorz (referee)
Title: Source Parameters of Microearthquakes and their Uncertainty Author: Jan Michálek Department: Department of Geophysics Supervisor: Doc. RNDr. Tomáš Fischer, PhD., Institute of Hydrogeology, Engineering Geology and Applied Geophysics, Charles University in Prague Abstract: The aim of this thesis is to analyze the spectral methods used for the determination of the earth- quake source parameters like the seismic moment M0 and the corner frequency fc and to apply these meth- ods to seismic data from the West Bohemian region. Considering some assumptions about the source the other important parameters like the source radius r or the stress drop in the source ∆σ can be evaluated. Determination of the parameters is performed in the spectral domain by comparing a simple Brune's source model (non-causal slip on a circular rupture; spectral slope ω−2) with the displacement of the P or S wave. The methods were applied to 56 selected earthquakes of the West Bohemian swarms from 2000 and 2008 by the absolute and relative approach in several modifications. The absolute method allows to determine not only the source parameters but also the quality factor Q (attenuation), which significantly affects the deter- mination of fc. Therefore, the absolute method was applied also as the joint inversion when Q is stabilized....
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Earthquake as a geological process, its prediction and effective protection against it
Stará, Eva ; Vilhelm, Jan (advisor) ; Michálek, Jan (referee)
Summary: The earthquake, one of the natural disasters, affects the lives of people and their properties even in today's advanced age. Seismology and Geology have made a significant progress in understanding the physical and geological phenomenons connected to earthquakes. Thus many consequences of earthquakes can be considerably reduced. Seismic risk estimation and a proper use of antiseismic elements in structures of resistant buildings as well as of early warning systems significantly lowers the impacts of this destructive element. Especially the correct and on-time prediction could contribute to an effective protection from earthquakes but this still remains a challenge for geologists worldwide.
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Analysis of the link between corruption and general government deficits
Michálek, Jan ; Mičúch, Marek (advisor) ; Kubíček, Jan (referee)
This paper discovers the link between corruption and general government deficits in European countries. A short review of concepts such as agency theory and principal-agent problem is made. After introducing a simple model of corruption-deficit relationship, the correlation is tested by regression analysis for years 2003-2009. Besides the year 2008 (the first year of financial crisis) are the results significant on the 5% confidence level. The regression of means is significant on 1% confidence level. The deficits are statistical significantly correlated with the level of perceived corruption.
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