This thesis deals with classification based on mixture models, mainly on models finite normal. At first, there are introduced basic definitions and characteristics of finite mix- tures. Afterwards there is described the ...

In this thesis, we describe a construction of orthogonal basis of polynomial solutions to the Laplace and Dirac operators over the Euclidian space Rm . A necessary property is rotational invariance of these operators. ...

Evaluating the success of the weather forecast is a fundamental factor in improving their quality. It is necessary to use statistical methods for this evaluation. However, the existence of a large number of statistical ...

In this bachelor's thesis we define the notion of Hausdorff metric and Gromov-Hausdorff metric. We will define both metrics in several different ways and then we will show that these definitions are equivalent. We will ...

In this work, we explored the potential of bacteriochlorophyll a for its use in dye-sensitized solar cells. Bacteriochlorophyll a absorbs in the near-infrared spectral region where most of the pigments tested in dye-sensitized ...

This thesis introduces module properties of projectivity and flatness relative to classes of finitely presented modules, these being generalization of projectivity and pure pro- jectivity. Then it gives proof of ascent and ...

This bachelor's thesis aims to analyse random walks, emphasizing symmetric random walks. We focus mainly on the occupation of a set times. In this thesis, we find the distribution of maxima and minima, the probability of ...

This thesis explores different ways of improving theatre play script gen- eration. To generate a theatre play script, we fine-tune the GPT-2 medium language model on a mixture of theatre plays, movies, and TV show scripts, ...

The goal of this thesis is to collect various properties of sets with positive reach and to describe generalization of the directional curvatures in R3 as the intersection of a plane and a set with positive reach. Firstly, ...

The goal of this thesis is to characterize payoffs that maximize expected utility function in different market setups. One can solve this problem in its generality in terms of a function of a likelihood ratio between the ...

The thesis describes the implementation of a numerical model that simulates the interaction between rigid particles and a fluid. The numerical model is based on the arbitrary Lagrangian-Eulerian (ALE) method, which uses ...

This work contains a collection of strange functions that, with their properties, break the school intuition of students in some way. In the first part of this work, an analysis of the available teaching materials (textbooks, ...

In this bachelor's thesis we deal with Ulam's problem. In the first chapter, we introduce the basic definitions and the axiomatic theory of ZF extended by the Axiom of Choice; we also formulate and prove the Lemma that ...

The topic of this diploma thesis are loci of points and their shape in case of using non-Euclidean metrics. The first chapter contains an overview of various loci of points discussed in school geometry as well as theoretical ...

The magnetopause separates the area in which all phenomena are influenced by the Earth's magnetic field from the interplanetary space filled with the solar wind. Our ability to predict its location is a measure of our ...

The goal of this work is to automatically find named characters in the books, detect all occurrences of these characters and determine places in the text where two or more characters interact together. One of the outputs ...

The bachelor thesis deals with the influence of the magnetic field on the discrete states of the Josephson junction and the influence of the continuous states on the behaviour of a single-level quantum dot with electron ...

Given a finite set of pairs in Rd ×R, nuclei and weights, Laguerre tessellations allow us to subdivide Euclidean space Rd into finitely many polyhedral cells using the power dis- tance. We are interested in the problem of ...

Velocity map imaging (VMI) combined with supersonically expanded molecules pro- vides molecular-level insight into many fundamental natural phenomena. This compre- hensive work delivers an introduction to the photodissociation ...

This thesis deals with two equivalent reformulations of the four color problem. The first of them shows the connection between graph coloring and the vector cross product; the se- cond one expands on it and develops a ...

Name: Simulation of turbulence in the convective planetary boundary layer Autor: Martin Hostačný Department: Department of atmospheric physics Supervisor: Mgr. Vladimír Fuka, Ph.D. Abstract: Airflow convection is simulated ...

In this thesis we investigate Robinson-Trautman solutions of Einstein's gravity cou- pled to a matter field in higher dimensions, specifically a conformally invariant and non- linear electromagnetic field. The latter ...

The goal of this thesis is to explore and evaluate classic and deep neural network computer vision methods in the task of detection position of a level crossing barrier. This thesis is based on an initial detection algorithm ...

Visualization of deep neural network models with Transformer architecture is generally a very demanding task which is usually solved by visualizing attention blocks and moni- toring which words these block focus on. However, ...

The bachelor thesis aims to create a program for the analysis of moves in Scrabble. The language dictionary is stored as a GADDAG structure, which enables fast searching of the words of the dictionary. The heuristics for ...

This thesis is aimed at teaching of particle physics on secondary school level and studies literature dealing with experiments and activities which are usable in the clas- sroom. The research was focused on curricula in ...

In this thesis, a new experimental set for the Interactive Physical Laboratory (IPL), operated by the Faculty of Mathematics and Physics, Charles University, was designed. This experimental set consists of five units named: ...

At the end of every automotive assembly line, there is a quality control process where factory workers check produced cars for potential defects. The computer vision field, especially neural networks for images, have great ...

For a class of graph instances of a computational problem we define a limit object, relative to some computationally restricted class of functions. The key method here is forcing with random variables where the sample set ...

In this work we will discuss the basics of a multivariate geometric distribution, especially its two-dimensional version. First of all, we establish a fundamental definition in which we consider two types of failures. Next, ...