This work is devoted to techniques to estimate the order of discrete approximations of the first order conservation laws. The attention is paid to basic finite difference methods and to the high-resolution schemes. Numerical experiments are presented. It is possible to use the obta...

The main topic of this bachelor's thesis is to study the spectral properties of random matrices. Two laws concerning eigenvalues of random matrices with elements with standard normal distribution (we call them Gaussian matrix) were investigated. The first of the above-mentioned laws ...

The subject of the bachelor thesis is a comparison of two different stochastic population models with regard to persistence time. We will study the discrete and continuous-time Markov chain models which are commonly used in population biology.At first we study the theory of stochas...

The subject of this bachelor thesis is the logistic growth model and its modifications. The thesis is divided into two parts, focusing on deterministic and stochastic models, whereas in both cases a continuous-time or a discrete-time is considered. The first part is focused on ...

The bachelor thesis focuses on the time series of the unemployed with regard to the probable predictions. The predictions of all the regions in the Czech Republic have been constructed for the year 2013 after selecting an appropriate prediction model of the time series of ...

This work explores the rules of a television game show ?1 proti 100? and analyses the probability of the contestant winning. The probability is analysed through three calculation models; the first looks at the overall number of contestants through the absorbing states of a Mar...

The aim of this work is to make clear summary of timing structures in the game theory. The main attention is given to situations, which have multiple Nash equilibria in the form of static game. Namely it is The Battle of Sexes scenario and The Game of Chicken&#x...

The aim of this thesis is to collect and analyze results of handball matches. Assembling matches from 2002-2012, we construct a dataset consisting of $ 4674 $ matches from top men?s handball leagues in Germany and the Czech Republic. First, we present a concise overview o...

This thesis aims to introduce problematics of transport services using statistical methods on data sample of bus line, which is operated by company ČSAD autobusy Plzeň a.s. Thesis is focused from data analysis point of view on interpretation of statistical hypothesis results, which ...

The subject of this thesis is a statistical analysis of dependence of collected data. In the thesis are formulated hypothesis, which need to be tested. There is used pair t-test and tools of regression analysis, in which are verified their presumptions. Null mean value of ...

The thesis presents a unified formalism for the description of planar and spatial PH and MPH curves in Bézier form using complex numbers, quaternions and Clifford algebras. Fundamentals of quaternions, Minkowski spaces and Clifford algebras are introduced, followed by formulation of unified&...

The main goal of this bachelor thesis is to explain the basic theory of Lebesgue and Hausdorff measure using unified and simple symbols and notation, to describe some properties of these measures and also to show examples of sets, which are not easy to measure. This ...

This thesis starts with presenting Modern portfolio theory and its historical development. Then it deals with risk-return space and investors' risk aversion. Markowitz's optimal portfolio selection model is derived in detail with illustration on basic example. In addition, some of Markowi...

The thesis deals with the Czech Accounting Standards in compare to International Financial Reporting Standards and Generally Accepted Accounting Principles, mainly in relation to financial analysis. The first part describes this accounting systems. On the basis of that the next part are ...

The subject of the bachelor thesis is queueing theory that means the mathematical study of queues. We introduce basic and necessary information about queueing systems. We especially focus on the systems that have a Poisson arrival process and general service time distribution that ...

This thesis deals with solvability of problems with jumping nonlinearities. In the first chapter we remind some basic functional analysis theory. The second chapter of the thesis introduces a term of jumping nonlinearity and Fučík spectrum. In the third chapter we focus on the ...

The bachelor thesis ?Analysis of buying options for a flat? deals with possibilities of financing your own housing. It describes the advantages and disadvantages of rental housing and purchasing your own flat. Based on the terms of financial mathematics it will assess, which option...

The thesis refers to the use of modern technologies in the management point field with editing options. Specifically, it focuses on the performance of mobile mapping applications for the Android operating system, the issue of virtual storage and the appropriate technical solutions. The&...

This thesis is devoted to dynamic systems with smooth and piecewise smooth right-hand side. The differences between conditions for the existence of solutions of initial value problems of the systems are shown. After that, bifurcations in systems with smooth right-hand side and bifurcati...

This bachelor thesis is focused on numerical methods for solving nonlinear homogeneous partial differential equations of hyperbolic type in one space dimension, for both scalar equations and their systems. These equations arise in transport models with conservation laws. Several basic schemes...