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Analyzing measured data in MATLAB
Loup, Martin ; Pazdera, Ivo (referee) ; Huták, Petr (advisor)
Analysis of the measured data is an integral part of each measurement. The focus of this bachelor's thesis was to facilitate the processing of results of measurements. Therefore an application was created that can retrieve the data from the file and further analyze them. The application is thus able to create a variety of graphical dependencies, to calculate a new variable from the loaded values, save all variables, to determine the basic parameters of the signal or convert a signal to another signal type.
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CORPORATE DEAD CAPITAL MANAGEMENT
Makovský, Zdeněk ; Tetřevová, Liběna (advisor)
The presented doctoral thesis deals with the problems of the corporate dead capital management in the conditions of the Czech Republic. The dramatic development of the financial markets in the recent years, related mainly to the development of communications technologies and to globalization, enabled Czech companies to make easy use of the capital markets to up-value their momentarily surplus dead capital. The reason why Czech companies have not used this possibility so much so far is partly the tradition of using banking institutions, partly the historically not very developed Czech financial market, and last but not least the worries about the risk of money depreciation. This thesis deals with the optimal portfolio creation methods in the conditions of the Prague Stock Exchange, including the risk management. The theoretical part of the thesis analyses the individual segments of the financial and capital markets from different points of view and it also analyses the dead capital management risks. An independent chapter is dedicated to the stock exchange indices as prospective underlying assets for financial derivatives. The chapter then analyses the structure of PX index, which includes the most liquid Czech shares. The thesis pays substantial attention to the legal and economic analyses of the financial derivatives as possible instruments, alternatively utilizable for appreciation of the dead capital. Financial derivatives do not necessarily represent a considerably higher risk for the company than using other financial instruments if their usage is accompanied by suitable risk mitigation methods. The view of financial derivatives as a game of hazard is analysed separately. This analysis aims to avoid potential legal complications that could be connected with financial derivatives. The closing section of the theoretical part describes the Capital Asset Pricing Model (CAPM), and then it extends and modifies it for the conditions of the Prague Stock Exchange. The practical part of the thesis describes the methods of creating the optimal portfolio, which might help the company appreciate the dead capital. The procedures of creating the portfolio are verified on particular titles, including the possibility of using a financial derivative and comparison of both approaches. The conclusion outlines the prospective development of the Czech capital market.
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QRS Complex Detection Using Wavelet Transform
Loviška, David ; Čech, Petr (referee) ; Smital, Lukáš (advisor)
The aim of diploma thesis named “QRS detection using wavelet transform” is to simplify and accelerate the work of doctors. This can be achieved by using application for QRS detection, which can use one of four proposed algorithms. Application shows basic informations about inserted electrocardiogram. Part of this program is a graphical window with displayed record and with coloured marks on detected QRS complexes. By another algorythm are marks color-coded due to accurancy percentil of every detected complex. This program is designed for a several hours record from Holter ECG monitoring.
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Derivative and its application in high school mathematics with use of Internet.
Trnka, Karel ; Robová, Jarmila (advisor) ; Odvárko, Oldřich (referee)
The aim of this diploma thesis is to create derivative-focused web pages as a new part of a high school mathematics educational web portal. The web portal is operated by the Department of Mathematics Education, Faculty of Mathematics and Physics, Charles University in Prague. It is primarily intended as an additional learning resource for high school students. The diploma thesis consists of two main parts. The first part describes a search for and evaluation of similar web pages in Czech, Slovak, English and Hebrew, which deal with the topic of derivative. The second part details the creation of new web pages. In creating the web pages the author integrated interactive elements based on JavaScript, and interactive applets created with use of GeoGebra software. To display mathematical expressions on the web, the author used the technology MathJax, which works with languages of the typesetting systems TeX and LaTeX.
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Propedeutics of differential and integral calculi
Malachov, Martin ; Halas, Zdeněk (advisor) ; Slavík, Antonín (referee)
Propaedeutics of Differential and Integral Calculi Author: Ing. Martin Malachov Department: Department of Mathematics Education Supervisor: Zdeněk Halas, DiS., Ph.D. Department of Mathematics Education Keywords: propaedeutics, derivative, Riemann integral, applications Differential and integral calculi both are interesting and beautiful branches of mathematics with many interdisciplinary overlaps and significant and practi- cal applications. Learning as well as teaching of these topics is very difficult and demanding. In this thesis we show that the derivatives and integrals have much to offer in the high school education while the schooling can be eased and made attractive with intentional propaedeutics and knowledge of rich background of applications. First part of the thesis presents short contem- plation on the current state of teaching and literature, we focus on the urge for the propaedeutics of the differential and integral calculi revealed by us. We identify key terms that can be used to build useful preconcepts during the whole high school education, even in the elementary education. In the latter part of the thesis we offer teacher innovative texts and a rich set of origi- nal exercises that can be used for motivation, application and propaedeutics of the differential and integral calculi. We also present...
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Properties of derivative
Marková, Hana ; Zelený, Miroslav (advisor) ; Hencl, Stanislav (referee)
In the bachelor thesis we relate the concepts of derivative, the Darboux pro- perty and the function of the Baire class one. It is shown that each derivative has Darboux property and is of the Baire class one. Furthermore, we characterize the functions of the Baire class one using their associated sets. We introduce the concept of Zahorski classes and put them in connection with the functions of the Baire class one with the Darboux property. At the end of the thesis, we prove the Clarkson-Denjoy theorem.
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Using of the GeoGebra software to solve problems of mathematical analysis
VAVRUŠKOVÁ, Radka
The present thesis deals with the solution of examples of mathematical analysis, specifically from the examples of derivatives of functions using mathematical GeoGebra. Derivative taught in secondary schools, but in practice, the school will meet them, especially in the last years of grammar schools. In this thesis, we will show examples of different solutions using GeoGebra. These examples are selected from different collections of tasks so that the whole issue has undergone differentiation. Calculated model examples should assist students in practicing derivatives. Together with examples and their solutions are given basic definition of derivatives, which are necessary knowledge to himself counting derivatives.
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Analyzing measured data in MATLAB
Loup, Martin ; Pazdera, Ivo (referee) ; Huták, Petr (advisor)
Analysis of the measured data is an integral part of each measurement. The focus of this bachelor's thesis was to facilitate the processing of results of measurements. Therefore an application was created that can retrieve the data from the file and further analyze them. The application is thus able to create a variety of graphical dependencies, to calculate a new variable from the loaded values, save all variables, to determine the basic parameters of the signal or convert a signal to another signal type.
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