In this thesis we recall the notion of a quasi-norm and a p-norm. We mention the Aoki-Rolewicz theorem which connects these two notions. We deal with generalizations of selected results from Banach spaces to p-Banach spaces ...

The thesis is concerned with numerical methods for solving the PageRank problem. The PageRank problem is formulated and mathematically described, based on intuitive observations called theses. We introduce and analyze two ...

From the very dawn of the field, search with value functions was a fun- damental concept of computer games research. Turing's chess algorithm from 1950 was able to think two moves ahead, and Shannon's work on chess from ...

The Log-Gaussian Cox process is an important example of the use of spatial modeling and spatial statistics in practice. It is useful for describing many real-world situations, from modeling tree growth in the rainforests, ...

Registration of functional data is a part of functional data analysis which focuses on the transformation of a sample of functions such that the shapes of these functions are aligned and undesired variation between them ...

Title: Nanostructured materials based on metal oxides - structure and thermal stability Author: Tereza Václavů Department: Department of Condensed Matter Physics Supervisor: prof. RNDr. Radomír Kužel, CSc. Abstract: The ...

This thesis is devoted to a formal presentation of an alternative proof of Gödel's first incompleteness theorem, based on the Berry paradox ("the smallest number not definable in under 57 characters", with this definition ...

Function extension is a classical problem in mathematics. In this thesis we look into an extesion of realvalued functions defined on metric spaces. The first chapter is intro- ductory and describes extension problem. In ...

We consider a recent result for the existence of infinite-volume marked Gibbs point processes and try to apply it to geometric models. At first, we reformulate a problematic assumption of the considered existence result ...

On Market Efficiency, Optimal Distributional Trading Gain, and Utility Maximization Robert Navr'atil The aim of this thesis is multifold. First, using results from the optimal distributional trading gain problem, we determine ...

Meggido and Papadimitriou [Theor. Comput. Sci., 1991] introduced the class TFNP of search problems for which a solution always exists and is polynomially verifiable. In this thesis, we study the possibility of reducing ...

Boundedness properties of some classical operators of harmonic analysis (namely the Hilbert and Riesz transforms, the Riesz potentials and (fractional and nonfractional) maximal operators) as well as certain Sobolev-type ...

This thesis presents starting and supporting points for a new secondary school physics curricu- lum and the methodology which was used. The research design was inspired mainly by the objectivist grounded theory. 29 in-depth ...

in english: Drop coating deposition Raman spectroscopy is a vibrational spectroscopic method based on the principle of Raman scattering. Deposition of a small volume of solution (μl) of a low concentration (μM) on a special ...

Limits of Data Structures, Communication, and Cards - Abstract In this thesis, we study several aspects of computational complexity. One of the main topics is the complexity of data structures, which are algorithms for ...

People often use public transport to travel to places they visit on regular basis. For these people, it would be very useful if they could live in a place, from which they could get faster to all the places they visit. The ...

The quadratic sieve and the number field sieve are two traditional factoring methods. We present here a principle of operation of both these algorithms, focusing mainly on the calculation of asymptotic complexity. The ...

The aim of this thesis is to investigate the problem of an approximate symmetry of complex networks. First, we analyze how to measure such symmetry. Then we explore two algorithms by which we can measure levels of symmetry ...

In this thesis we will explain what are semifields and what interesting properties these algebraic objects possesses. In the first chapter we will go over some basics and preliminaries to understand what semifields are. ...

We compare three methods used in stochastic geometry in order to investigate asymp- totic behaviour of random geometrical structures in large domains or in a large intensity regime. Namely, we describe in detail the ...

The dissertation thesis investigates students' and teachers' attitudes towards using tablets in mathematics lessons at the lower-secondary level. The study analyzes how the attitudes change during a one-year implementation ...

This work represents the entire process behind the creation of AnimalEvolution. Ani- malEvolution is a sandbox game simulating an ecosystem that is filled with evolving organisms and it's up to the player to find its ...

This thesis deals with describing algebraic and statistic view on Principal component analysis and the way of exporting important variables. Basic properties of the singular value decomposition are introduced and the best ...

Spectral collocation methods are advertised as a powerful tool for a numerical so- lution of boundary value problems for ordinary as well as partial differential equations. The methods are based on a polynomial approximation, ...

1 The application is intended for organizers of floorball and hockey competitions, whether league or tournament. It is mainly to help amateur competitions in their management and calculation of various statistics. It ...

With the rising popularity of sport climbing and bouldering, there are increasing incentives to take it to the online space. This thesis does so in a way suitable for regular climbing gyms. A workflow for creating 3D hold ...

In this work we study asymmetric games. Unlike symmetric matrix games, asymmetric games are not so easily categorized and therefore their research seems more interesting. We will present general cases of matrix games and ...

In this thesis, we study the clones of tournaments. The thesis is divided into three parts. In the first part, we provide the basic definitions and facts that are needed in the rest of the thesis. In the second part, we ...

In this thesis, we deal with the upper and lower bounds for the mixing time of reversi- ble homogeneous Markov chains with finite state space and discrete time. The estimates are based on the spectral properties of the ...

In this thesis we summarize the basic terms of subdivision and accompany them with examples of widely used schemes. We also show our own implementations of those schemes. In further parts we define the so-called Exponential ...

The current mainstream programming languages do not explicitly track side effects of the programs, such as the possibility of allocating memory, throwing an exception, and performing I/O actions. We create a fully speci- ...

This thesis contains a study of production and radiation of J/ψ and ψ(2S) in pp collisions. Basic analysis of J/ψ and ψ(2S) using data from pp collisions at √ s = 5.02TeV measured in 2017 by the ATLAS Experiment at the LHC ...

The bachelor thesis describes causality in multiple time series. Mul- tiple time series are formulated by using vector autoregressive models (VAR). The general properties of the VAR model are defined in the thesis . Model ...

Generalising the notion of an ultrafilter to structured sets, we construct the ultrafilter monad in the categories of partially ordered sets and finitely colourable graphs. This is done similarly to codensity monads, knowing ...

This bachelor thesis provides a mathematical description of the card game of SET. The reader is introduced to the history and the rules of this game. Further off, some combinatorial aspects of the game are investigated. ...

Lucas sequences are constant-recursive integer sequences with a long history of appli- cations in cryptography, both in the design of cryptographic schemes and cryptanalysis. In this work, we study the sequential hardness ...

An unfolding of a polyhedron is a cutting along its surface such that the surface remains connected and it can be flattened to the plane without any overlap. An edge- unfolding is a restricted kind of unfolding, we are ...

Slide attack is an attack against block ciphers which have all rounds the same. The success and the complexity of the attack is independent on the number of rounds. The original slide attack was mainly used on a Feistel ...

The autocorrelation function is a basic tool for time series analysis. The clas- sical estimation is very sensitive to outliers and can lead to misleading results. This thesis deals with robust estimations of the autocorrelation ...

Energy market modelling is one of the most pressing topics. There are several ways how to create the models depending on what features to expect and require. The thesis will be devoted to studying stochastic models of the ...

This thesis is focused on introduction on project CERN and ATLAS and on apparatus used for detection of particles. Moreover, thesis describes upgrades of detection apparatus, whose goal is to increase performance of the ...

In this work, we focus on the use of laser slit scanning rigs for 3D reconstruction of the inner parts of a nuclear reactor. Special emphasis is placed on the influence of radial distortion on the quality of 3D reconstruction. ...

In this work we will study the electromagnetic superradiance phenomenon on acceler- ated systems. We will briefly cover superradiance on a cylinder, which was thermodynam- ically proven by Zel'dovich. Then we will attempt ...

Title: Study of physical and chemical properties of tin dioxide-based systems Author: Oleksandr Leiko Department: Department of Surface and Plasma Science Supervisor: doc. RNDr. Karel Mašek, Dr. Abstract: In the presented ...

As conventional electronics approaches its fundamental limits, new paradigms are re- quired. Integration of new spintronic materials with current silicon technology shows great promise. This thesis demonstrates the possibility ...

In this thesis we study the poset of signed permutations under the pattern containment order. A signed permutation is a permutation in which each entry has a plus or a minus sign assigned to it. Therefore signed permutations ...

Raman microspectroscopy is a powerful tool combining laser scanning confocal microscopy and Raman spectroscopy which is an analytical tech- nique that provides chemical species-specific vibrational spectra or so-called ...

In this thesis we study the generalized Glivenko-Cantelli theorem and its application in mathematical foundations of machine learning. Firstly, we prove the generalized Glivenko-Cantelli's theorem using covering numbers ...

In this thesis we investigate the structure of the generalized age-period-cohort mortality model and we comment on the key components of its structure. As an example of the generalized age- period-cohort model we take a ...