We study a simple model of a one dimensional extended body in a gravitational field, consisting of two point particles connected by an elastic string, and derive equations of motion for this system in both classical mechanics ...

This thesis deals with the formulation and estimation of the multivariate GARCH model. It mentions the various parameterizations of the multivariate GARCH model and discusses the relationships between them. The necessary ...

The exploration of potential life on other celestial bodies within the Solar System is one of the key questions in planetary science. In this work, we focused on determining the hydrosphere of the icy moons Ganymede and ...

In this thesis we are going to deal with the inverse linear approximation problem Ax ≈ b, where our goal is to find the best approximation x of the unknown exact solution. We are going to especially focus on the so-called ...

Proteins are involved in most molecular processes in living organisms, and their study, therefore, finds use in many applications. The 3D structure plays a fundamental role in the protein's ability to bind other molecules ...

An important property of discrete-time Markov chains with finite state space is the rate of convergence of the marginal distribution of the chain to the stationary distribution (i.e. mixing rate). If we construct a coupling ...

The prediction of protein-ligand binding sites is an important task, allowing us to understand protein-ligand interactions, the understanding of which is essential in drug design and the development of certain areas of ...

Often the motivation behind building a statistical model is to provide prediction for an outcome of interest. In the context of survival analysis it is important to distingu- ish between two types of time-varying covariates ...

Fourier series are an important tool of mathematical analysis with many applicati- ons. This thesis focuses on their use in several specific mathematical problems. The first application is the proof of the isoperimetric ...

This diploma thesis aims at studying a process of hydrogen fuel cell poisoning by molecules of carbon monoxide. Low loading platinum-ruthenium anode catalysts prepared by magnetron co-sputtering were studied. The chemical ...

Pareto model is widely used in insurance and reinsurance, as well as in finance (capital management, stock returns), and in modelling of natural disasters. As a motivation, we introduce a case study drawn from the pricing ...

We study a particular class of subspaces of Banach spaces called ideals. We show that the notions of ideals, locally complemented subspaces, and the existence of a Hahn-Banach extension operator coincide. We introduce and ...

Causality measures are useful tools when looking for causality in time series. This thesis does not only describe the theory behind the definition of measures of causality but also gives comprehensive instructions on how ...

This thesis deals with the topic of mortality modelling and life insurance pricing. First, basic concepts from the demographic model and life tables are introduced. Following is a description of the Lee-Carter model including ...

This thesis focuses on the growth of single crystals and magnetic characterization of CeMgAl11O19, a triangular lattice frustrated magnet from the rare earth hexaaluminate family. The CMAO harbors a network of electric ...

Crystal electric field has been studied since the 1970s using inelastic neu- tron spectrometry. A simple one-day time-of-flight measurement on pow- dered samples is often used. This thesis aims to demonstrate a method of ...

In this thesis, we study twisted Edwards curves using the theory of algebraic function fields. After summarizing the basic theory, we focus on the structure of the function field for curves that are given by an equation ...

With the adoption of cloud computing, horizontally scalable infrastruc- ture, and containerized deployments, Software Defined Networking (SDN) became an integral part of data centers, Kubernetes and Open vSwitch (OVS) being ...

The aim of the bachelor's thesis was to explore the independence of random events in greater depth and address less common aspects of this topic. The first part defines the independence of random events in probability ...

In this thesis we study policy-level models for unreported claim counts. We assume that the total number of claims on a policy follows a Poisson or negative binomial dis- tribution. The parameters of these distributions ...

This thesis describes the development of a desktop application that should allow the user to organize their family tree. The existing solutions, such as MyHeritage or Family Historian, are analyzed first. The detailed ...

The aim of this thesis is the prediction of insurance events under the condition that the data related to the occurrence of the events is truncated. The nature of the truncation lies in the fact that in the present we ...

This bachelor's thesis introduces, derives and implements recursive least squares me- thod. The recursive least squares method is analogy to ordinary least squares for linear regression exercise. Method uses recursive ...

Modern compilers apply a set of optimization passes aiming to speed up the generated code. The combined effect of individual optimizations is often un- predictable. Thus, changes to a compiler's code may hinder the performance ...

In this bachelor thesis was created command line application for generat- ing Einstein's riddles in natural language using language model GPT-3 (third generation Generated Pre-trained Transformer). The few-shot method was ...

In presented work we will discuss the central limit theorem for dependent random variables. First of all, we brush up the basic version of the theorem and we illustrate it by an example of its use. Then we introduce a ...

Multimedia retrieval is increasingly important with the skyrocketing multimedia vol- umes produced every day. Therefore many image and video retrieval tools are being developed utilising visual similarity modelling algorithms ...

Easy, simple and free as in freedom. These are the requirements for ev- eryday access to information in newspapers. In this thesis we will create such environment based on network. We are designing a protocol for com- ...

Task-oriented dialogue systems pose a significant challenge due to their complexity and the need to handle components such as language understanding, state tracking, action selection, and language generation. In this work, ...