Braid groups involve certain problems that enable the construction of trapdoor func- tions for the purposes of asymmetric cryptography. Specifically, the conjugacy problem has shown potential in this direction, leading to ...

In this thesis, we will formally define objects in Euclidean geometry, lattices and affine lattices and use them to describe objects in integer trigonometry. We will prove that the described objects in integer trigonometry ...

John H. Conway has introduced the topograph, a graph containing all possible bases of Z2 as its edges. This work aims to properly define this topograph and prove its key properties. In addition, we will delve into the ...

We can color knots by various finite quandles and check if they have non-trivial coloring. If so, we can say that the knot is not an unknot. However, we will focus on quandles that always give trivial coloring. It will ...

The protoplanetary disk DoAr 44 (Haro 1-16, V2062 Oph) is a pre-transitional disk in the Ophiuchus star-forming region. A large observational dataset is available, including ALMA complex visibilities, VLTI/GRAVITY continuum ...

The main goal of this thesis is to introdude to readers the concept of weak measure- ments in quantum mechanics. Firstly a model of indirect measuremnts is established as an alternative to Von Neumann measurement postulate. ...

In this thesis, we study commutative noetherian rings using homological methods. We characterize regular local rings as rings with finite global dimension and show that they are stable under localization. After this we go ...

We describe a method by which it is possible to find the dynamics of a spin current in a spintronic terahertz emitter or other emitters derived from it. This method takes an ex- perimental emission measurement from time-domain ...

In this thesis we familiarize the reader with the fundamental notions of tilting theory. Building on those, we formulate and prove two major results of classical tilting theory, Brenner-Butler theorem and Bongartz lemma. ...

The aim of this thesis is to familiarise the reader with the concept of a C-filtration, to show properties of special instances of C-filtrations and to construct structures corresponding to general C-filtrations. The first ...

The method of Smoothed Particle Hydrodynamics is applied to the phenomenon of mountain waves - atmospheric internal gravity waves generated by flows over topogra- phy. General aspects of the method and the alternative ...

In this thesis, we study relational clones on a two-element domain (here- inafter just "relational clones"). Firstly, we provide an alternative, elementary, and purely relational proof of the famous characterization of all ...

CuMnAs is an antiferromagnet in which the possibility of writing and reading in- formation using short electrical or optical pulses has already been demonstrated. This recording represents a switching between different ...

We fix a specific action of the multiplicative group of complex numbers on a product of projective lines and examine the structure of its orbits. It turns out that the Chow quotient is isomorphic to permutohedral variety. ...

The work is focused on the structure of triangulations of combinatorial surfaces. By analyzing several local reduction moves and one global move, several known results are proven in a new way. This includes the fundamental ...

In this thesis, we utilize the discrete-state-in-continuum model and pro- jection operator formalism, successfully used to describe inelastic electron- molecule collisions, to model resonant electron photodetachment. An ...

The aim of the thesis is to give complete and thorough proofs of some well-known results from the measure theory. Oftentimes, arguments from functional analysis will be used to prove these results. For example, we will use ...

The topic of this thesis is scattering in the model 2D potential with symetry given by the C3v group. Used potential is based on the Henon-Heiles potential, which is known as a typical example of a potential with chaotic ...

Title: Growth of nanoparticles in liquid medium using magnetron sputtering technique Author: Josef Kučera Department: Department of Surface and Plasma Science Supervisor: Mgr. Yurii Yakovlev, Ph.D., Department of Surface ...

This thesis in focused on revealing deformation mechanisms resulting in high-strength and moderate elongation of the Mg97.94Zn0.56Y1.5 (at. %) alloys prepared by rapidly solidified ribbon consolidation technique. The ...

We use the basic techniques of general relativity to introduce black hole thermody- namics and directly address its relationship with classical thermodynamics. We give as many results explicitly calculated or directly cited ...

This bachelor thesis is mainly concerned with the Sharkovsky theorem. Initially, we define basic concepts from the theory of discrete dynamical systems, followed by a proof of the Sharkovsky theorem based on the examination ...

The outermost layer of the Earth, the lithosphere, is broken into several pieces called lithospheric plates. These plates move relative to each other at a rate of several centimeters per year. In regions where two tectonic ...

The main objective of the thesis was to investigate an electron transport in reaction centers from photosynthetic purple bacterium Cereibacter sphaeroides. We have investigated dimers of core antenna containing the reactions ...

This thesis is devoted to a study of a thin layer of noncollinear antiferromagnetic me- tal Mn3GaN on a MgO substrate using magneto-optical pump and probe technique. We found that after the impact of a femtosecond laser ...

Ball-Evans aproximation problem is a highly studied one in Geometric function theory. Approximation of homeomorphisms by diffeomorphisms would have many implications e.g. in the theory of regularity of minimizers or in ...

In this study, heterogeneous gold/niobium oxide nanomaterials were prepared and investigated. The possibilities of preparing these materials with two different niobium oxide architectures, namely thin sputtered layers and ...

Phase diagrams in condensed-matter physics are often very complex. The development of methods that can identify distinct phases without any prior knowledge is, therefore, of great interest. In this study, we applied ...

This bachelor thesis aims to prove the equality of the Hausdorff and ca- pacitary dimensions. Additionally, we establish the equivalence of Lebesgue and Hausdorff measures, which requires the Isodiametric inequality and ...

The method of drop coating deposition in Raman spectroscopy is based on the mea- surement of Raman spectra from a dried deposit of the studied sample, which is formed by drying a drop of a solution or suspension deposited ...

Presented bachelor thesis is focused on the analysis of plasma electrolytic oxidation (PEO) preperation time effect on degradation resistance of pure Mg and WE43, Z1 and ZX10 alloys for its potential application in ...

In this thesis we deal with the basic properties of Lp spaces, where p ∈ [1, ∞]. The first part is dedicated to uniform convexity, where we introduce relevant concepts and show, which of the Lp spaces are uniformly convex. ...

An airfoil with a significant angle of attack is accelerated at various rates from rest in superfluid helium. Starting vortices, shed from the trailing and leading edge of the airfoil, are studied by visualization methods. ...

Moran process is a model used in evolutionary dynamics to study natural selection. In this process, a population of individuals evolves in steps. In one step a random individual is selected with probability proportional ...

In this thesis, we study characterization by forbidden patterns of many classes of x-monotone drawings of complete graphs with various given restrictions. We generalize previously known characterizations of pseudolinear, ...

Many factors and processes are expected to be altered in the troposphere under the on- going climate change. This is likely to affect the regime of concentrations of tropospheric species. In the case of ozone, the situation ...

Protein interactions with various molecules are crucial for their function and, con- sequently, for the overall functioning of organisms. Studying these interactions is im- portant across many scientific fields, including ...

Collision avoidance for autonomous agents has been a widely researched topic for the past couple of decades. Modern solutions act as purely reactive techniques that create various problems, such as agents being stuck in ...

E-Commerce has seen rapid growth that significantly changed the retail landscape. This situation requires brands to do more than just offer products; they must present a distinct identity, maintain brand values, and establish ...

The most valuable data publication is in the form of linked data. The creation of linked data includes in particular the transformation of data into RDF and the appropriate use of identifiers and ontologies. However, the ...

Asteroids are the most numerous group of bodies in our Solar System. However, our observations are limited because of their size and distance. Occultations allow us to determine the shape and size of even the smaller ...

We study the extension of methods from classical survival analysis to competing risks. These methods can be used to analyse time-to-event data. Firstly, we establish notation, define fundamental concepts and present basic ...

This work discusses electromagnetic fields around Kerr black hole. We extend prior work by finding a new source term - a non-axial current loop. We analyze this solutions behaviour. We also discuss in detail the Meissner ...

The subject of the thesis is the estimation of the parameters of the Hull-White model. The formula for the time-dependent parameter θ is derived. The constant parameters α and σ are first calibrated on the prices of the ...

Stochastic optimization relies heavily on scenario generation, which has a large impact on the tractability of optimization methods and the quality of obtained solutions. Despite its importance, scenario generation for ...

Stochastic cooperative games - abstrakt (EN) Bc. David Ryz'ak May 2024 This thesis explores stochastic cooperative games, viewed here as cooperative games with a stochastic characteristic function, representing a generalization ...

Algebraic cryptanalysis is a standard set of techniques for analyzing and attacking practical symmetric cryptographic primitives. It involves representing the relationship between a pair of plaintext, ciphertext and the ...