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Forward and Backward Modelling of Spectroscopic Diagnostics in Fusion Plasmas
Tomeš, Matěj ; Seidl, Jakub (advisor) ; De Bock, Maarten (referee) ; Den Hartog, Daniel J. (referee)
Title: Forward and Backward Modelling of Spectroscopic Diagnostics in Fusion Plasmas Author: Matěj Tomeš Department: Department of Surface and Plasma Science Supervisor: Mgr. Jakub Seidl, Ph.D., Institute of Plasma Physics of the Czech Academy of Sciences Abstract: The thesis primarily focuses on developing forward and backward models for fusion diagnostics. It encompasses the development and application of these models for Thomson scattering, the inference of neon concentrations in JET's divertor and for synchrotron radiation. In the first chapter, the forward model of Thomson scattering designed for Cherab is detailed. This includes the development of a laser module intended for a wide range of applications, primarily to facilitate Thomson scattering simulations. An application example is provided by a comprehensive model of the Thomson scattering diagnostic used at the COMPASS tokamak. The model of the diagnostic is combined with experimentally obtained electron profiles to assess its performance. The second half of the chapter focuses on the development of a backward model for Bayesian inference of temperature profiles from measured Thomson scattering data. The effectiveness of this model is compared to the conventional approach based on least square error optimization, revealing clear advantages of...
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Evaluation of the Financial Situation of a Company and Proposals to its Improvement
Seidl, Jakub ; Kožoušek, Tomáš (referee) ; Karas, Michal (advisor)
This bachelor’s thesis is focused on evaluation of financial situation of industrial company and suggestions for improvement for this situation in years 2011 to 2016 in P-D Refractories CZ a.s. First chapter of this bachelor’s thesis is focused on goals, methods and processes. Second part is interested in information about company and theoretical solution for financial analysis. Third chapter includes already analysis and evaluation of the state of company. Last chapter gives own suggestions for improvement of the situation in P-D Refractories CZ a.s.
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A Draft of a Corporate Financial Plan
Seidl, Jakub ; Ing. Martin Liebl, MBA, LL.M., DBA (referee) ; Karas, Michal (advisor)
This master’s thesis is focused on a Draft of a Corporate Financial Plan for industrial company P-D Refractories CZ a.s. for years 2019 to 2022. First chapter of this master’s thesis is oriented in goals, methods and approaches of this thesis. Next part is aiming at theoretical solution for financial planning. Third chapter contains information about analyzed company, application of selected methods of strategic analysis and financial analysis including evaluation of the state of company and detection of potential deficiencies. Last chapter of this thesis is focused on suggestion, formation and evaluation of the financial plan for P-D Refractories CZ a.s. for next four years.
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Solving systems of equations over commutative rings
Seidl, Jan ; Šťovíček, Jan (advisor) ; Žemlička, Jan (referee)
The object of this work is to offer algorithm how can be solved systems of linear equations Ax=b over principal ideal rings. We prove that for every nonzero matrix over principal ideal rings there exists its Smith form. Using Smith form we transform the system of equations to simple diagonal form and we show how we can obtain the solution of the original system from its diagonal form. Whole procedure we demonstrate by the examples over Z, Zm and Q[x]. Thereafter we show how is possible to implement the algorithm for these rings by using software Mathematica. The work should provide procedure according to which shold not be difficult to modify algorithm to gain solution over another rings. 1
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Polynomial equations over finite fields and algebraic cryptanalysis
Seidl, Jan ; Stanovský, David (advisor) ; Drápal, Aleš (referee)
Title: Polynomial equations over finite fields and algebraic cryptanalysis Author: Jan Seidl Department: Department of Algebra Supervisor: doc. RNDr. David Stanovský, Ph.D., Department of Algebra Abstract: The present work deals with the procedure of algebraic crypta- nalysis, in which the problem of breaking cipher is at first converted to the problem of finding solutions to polynomial systems of equations and then the problem of finding a solution to this equation is converted to the SAT problem. The work specifically describes the methods that allow you to con- vert the problem of breaking cipher RC4 to the SAT problem. The individual methods were programmed in Mathematica programming language and then applied to RC4 with a word length of 2, 3. For finding of satisfiable evaluation of the resulting logical formula was used SAT-solver CryptoMiniSAT. In case of RC4 with word length 2 the solution was reached in the range from 0.09 to 0.34 second. In case of RC4 with word length 3 the solution was reached in the range from 1.10 to 1.23 second. Keywords: RC4, SAT, CryptoMiniSAT 1
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Probabilistic semantics for Independence-friendly Logics
Seidl, Julian ; Majer, Ondrej (advisor) ; Švarný, Petr (referee)
(in English): Character of the work is purely theoretical and it pursues game theory in the perspective of mathematical logic and probability. The work is divided into two parts. Introductory part compiles basic concepts and definitions, summarizing the game theory and basics of syntax and semantics of mathematical logic and its extensions suitable for work in the field of game theory. Introductory part also explains following terms: extensive and strategic form of games, Nash equilibrium, pure and mixed strategies, winning strategies or independence-friendly logic. The problems solved in the second part of the work such as question of existence of Nash equilibrium in the games with infinite models or issue which arises when trying to uniformly distribute the probability of strategies in the same class of games are sketched out. The second part continues with analysis of strategic games with imperfect information aiming to the solution of nontrivial problems earlier proposed. Second part also introduces basic concepts and definitions of the probability theory, which helps comprehending the problems mentioned above. The last part of the work before the very presentation of some results induced by the area of infinite games is conversion between strategic and extensive games form. In the end of the...
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Anomalous diffusion of plasma in tokamak edge region
Seidl, Jakub ; Krlín, Ladislav (advisor) ; Hrach, Rudolf (referee) ; Rohlena, Karel (referee)
Title: Anomalous diffusion of plasma in tokamak edge region Author: Jakub Seidl Tutoring institution: Institute of Plasma Physics AS CR, v.v.i. Supervisor: Doc. Ing. Ladislav Krlín, DrSc., IPP AS CR Consultant: RNDr. Radomír Pánek, Ph.D., IPP AS CR Abstract: This work provides brief introduction to the topic of plasma turbu- lence in tokamak edge region and several aspects of anomalous plasma diffusion are discussed. We use numerical code ESEL to model interchange turbulence and investigate properties of turbulent structures in different regimes of parallel trans- port. Means of experimental verification of the results are discussed. Results of the modelling are then used to interpret unexpected results experimentally obtained by electrostatic ball-pen probes on tokamak ASDEX Upgrade, mainly appearance of a 'bump' in power spectra of measured plasma potential. Next, we explain be- haviour of cross-correlation function of density signals measured by two spatially separated Langmuir probes in the vicinity of magnetic separatrix and we point out an ambiguity in interpretation of results of vorticity measurement made by set of floating Langmuir probes. In the last part, transport of plasma impurities by electrostatic turbulent potential is modelled. We identify reversal of radial particle velocity for particles with...
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Training loads and results of an individual in various training environments. Case study of elite Czech triathletes
Seidl, Jiří ; Bunc, Václav (advisor) ; Vobr, Radek (referee) ; Zvonař, Martin (referee)
Aim: Analysis of the relation between the training load and the race performance of elite world-class triathletes. Evaluation of the effect of other factors on the race performance. Method: A case study of a Czech elite triathlete VF, who trained for several years in three different training environments including two top international groups DS and JF. Results: Training volume of VF was about 28 hours per week in the initial and DS environment and decreased to 23 hours per week in JF environment. The standard periodization scheme was used in none of the training environments. Instead, the annual training cycles had no distinct culminations; training load oscillated in a sequence of microcycles. Specific tempering was not applied prior to competitions, rather the affected microcyclus had been adjusted. Competitive performance of VF expressed as so called ITU equivalent was comparable in the three environments. Long-term performance markedly deteriorated in the DS environment but improved in the environment JF. Discussion: Two reasons are proposed for the deterioration of the long-term performance in the environment DS: (i) long-term major injuries; (ii) a several month long high-altitude stays during competitive seasons, leading to negative mood and motivational changes and other overtraining symptoms. A...
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Homosexuality in the Praxis and Discourse of Penal Law, Medicine and Civic Society from the Adoption of the 1852 Penal Code to the Adoption of the 1961 Penal Code
Seidl, Jan ; Putna, Martin (advisor) ; Sokolová, Věra (referee) ; Nečasová, Denisa (referee)
This thesis deals with changes in conceptions of homosexuality and homosexual subculture as of something basically different, as they developed from the second third of the 19th century to the second half of the 20th century among Czech lawyers and physicians, as well as with changes of self-conceptualization of the Czech homosexual subculture itself, having occurred in the same time interval. It focuses mainly on attitudes and efforts of those who aimed at contributing to social emancipation of this subculture or - in times of increased persecution of homosexuality during the Nazi occupation - on the impossibility to carry on such efforts. The thesis is divided in five parts - in the first one, the legal context which provoked the emancipation efforts in times of the 1852 Penal Code being in force (i.e. until 1950) is explained; the next four parts focus on these efforts separately in four distinct periods. Thus, the second part deals with the expansion of the modern concept of homosexual identity in the Czech lands before WWI, the third part deals with sexual reform efforts by liberal lawyers and physicians as well as on emancipatory and political efforts by the homosexual community itself in the democratic First Czechoslovak Republic (1918-1938), aiming at decriminalization of homosexual acts,...
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