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Šíření zvukových vln ve stlačitelných tekutinách
Vybulková, Lada ; Bulíček, Miroslav (referee) ; Feireisl, Eduard (advisor)
In the present Thesis we study problems arising in the mathematical theory of propagation of the acoustic waves in compressible uids. In particular, we are interested in problems posed on unbounded or very large spatial domains, where the dispersive phenomena play an important role, and where the local energy of the acoustic waves is likely to decay to zero. We occupy ourselves with problems of small Mach numbers. The latter property is crucial in the study of the incompressible limits, where it provides a rigorous justi cation of \acoustic ltering" amply used in numerical implementations, see [6]. We derive the equation describing the motion of acoustic waves in compressible uids and explore spectral properties of related linear operator. We search situations when its point spectrum is empty, because then we can prove, in the sense of the RAGE Theorem from [7], resp. [1], a decay of the local energy of the acoustic waves as Mach number tends to zero.
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Freiman's theorem in additive combinatorics
Hančl, Jaroslav ; Nešetřil, Jaroslav (referee) ; Klazar, Martin (advisor)
In the presented summary work we study the inverse problem in additive number theory. More speci cally, we try to characterize sets A of positive integers if we know some information about their sumsets 2A = A + A. At the beginning we devote some time to nite sets with the property |2A| = 2|Aj| - 1, then we solve a generalized problem for such abelian groups G in whose order of all elements is bounded by a constant rand their subsets A satisfying j2Aj cjAj. At the end we present the famous Freiman theorem, which describes sets of positive integers A small in the sense |2A| - c|A|. We prove this theorem and give some corollaries and applications.
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Aesthetic of early videoart
Peštová, Karolína ; Ševčík, Miloš (referee) ; Zuska, Vlastimil (advisor)
This diploma thesis treats of the video art of the 1960s and 70s from four points of view: in chapter one the artistic and technological genesis of video art is analyzed; chapter two is dedicated to a scholarly analysis of video art on whose basis the relation of video art to other arts is determined (especially film and fine art), the chapter, furthermore, examines the properties of video as a medium; chapter three deals with the reception of video art by the audience, its mode of depiction and aesthetic properties which are demonstrated on specific examples; the final chapter is dedicated to feminist video art whose task it was to help emancipate women. The aim of the thesis is to present a comprehensive overview of early video art with emphasis on its artistic and aesthetic properties. The thesis does not merely rest on valid scholarly theories - it also analyzes specific art pieces which are documented in an extensive graphic appendix.
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Higher-order approximations in the finite element methods
Kolman, Karel ; Křížek, Michal (advisor) ; Feistauer, Miloslav (referee) ; Mlýnek, Jaroslav (referee)
A survey of existing nite element superconvergence theory is conducted. The Steklov postprocessing operator is presented and its properties are investigated, superconvergence bounds are proved. A two-level method for eigenvalue problems is generalized for application to a nonselfadjoint problem. Applications of superconvergence theory to variationally formulated eigenvalue problems are discussed. Numerical experiments documenting the methods are performed.
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Quasigroup based cryptography
Christov, Adam ; Drápal, Aleš (referee) ; Stanovský, David (advisor)
Public-key cryptographic schemes based on the complexity of solving multivariate quadratic equations over a finite field represent an alternative to widely used schemes relying on the complexity of factorization or on the discrete logarithm. Such a scheme was proposed by D. Gligoroski et al. [8]. Keys in this scheme are constructed using a special kind of quasigroups, the socalled quadratic quasigroups. In this paper we try and describe the quadratic quasigroups and classify them according to their properties. Finally, we present a theory which can be used to generate such quasigroups.
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Statistical applications of urn models
Navrátil, Radim ; Omelka, Marek (referee) ; Pawlas, Zbyněk (advisor)
This work shows various applications of urn models in practice. First, basic properties of the occupancy distribution are derived together with its asymptotic approximation. This model is applied and generalized in the theory of database systems for records search from a given database. An application to random texts is mentioned, namely the computation of the expected number of missing and common words in random texts. There are presented exact formulas, their asymptotic approximations and the approximations via occupancy distribution. Then, some urn models, which are used in the randomized response theory for finding out respondents' answers to sensitive questions, are described. These models are compared according to their accuracy and respondents' goodwill to answer. Finally, two non-parametric tests of empty boxes are derived, one for the hypothesis whether a random sample comes from a given population and the second for the hypothesis whether two independent random samples come from the same population. The powers of these tests are compared with commonly used tests for these hypotheses.
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Analysis of the activity of Land Fund of the Czech Repulic
Ulrychová, Helena ; Zeman, Karel (advisor) ; Kučerová, Jaroslava (referee)
I will aim in my Bachelor work at the activity of Land Fund of the Czech Republic which is the substantial factor in solution the problem of deprivation and disregarding of private ownership during the political system before the year 1989. I have chosen this theme because the working of Land Fund in contrast to other transformation institutions hasn't finished yet by far. In the first theory-methodical part I will introduce the basic matter at issue of the transformation of the national economy after the year 1989, mainly the changes on laws in force and the following process of privatization and restitution. I will focus the cause and conditions why Land Fund of the Czech Republic was established. In the analytical part I will map out the position of Land Fund within institutional framework and I will introduce the object of its working and the structure of property which has been operated. In the description of the principal function of Land Fund I will use the basic established law No 569/1991. In this part I will refer to leading areas of its engagement, especially administration of the real-estate property, its privatization sales to people without the restitutional claim and eventually the realization of agricultural and forestry restitution to authorized people. Finally I will analyse the Fund management system including the organizing structure and some other procedures of this organization. The intension of my work is to characterize the influence of Land Fund in the process of the transformation of real-estate property. In conclusion I'd like to think over the functionality of Land Fund and its importance for today and future.
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The relation of conversion as a system relation
Kováčová, Kateřina ; Chlupáčová, Kamila (advisor) ; Giger, Markus (referee) ; Panevová, Jarmila (referee)
The relation of conversion is a semantic relation between lexemes ( or between other typ es of language expressions) that is assessed- as far as its appurtenance to the system oflanguage is concemed - in various theories of language in a different way. Informally, these expressions are usually considered to be in the relation of conversion which "denote the same situation always from a different perspective", such as e.g. the verbs dát - dostat, prodat - koupit, půjčit- půjčit si, vyhrát- prohrát or the nouns vítězství- porážka. In this thesis, the relation of conversion is regarded as a type of a semantic relation that is inherent in the language system and therefore it should be included in the whole theoretical description of language. The author tries to support this standpoint that issues from a more or less intuitive observation of the properties of lexemes in the conversion relation and from their comparison with other lexemes by a consequent description of the nature of the semantic relation of conversion within the formally constructed theory of the Functional Generative Description of Language (FGD). This task is necessarily associated with specific modifications (extensions) of the terrninological framework of FGD because in the theory of FGD the field of lexical semantics has not yet been...
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Presentation of Tangible Current Assets according to the IFRS
Hromádková, Zuzana ; Krupová, Lenka (advisor) ; Strouhal, Jiří (referee)
This work is focused od Tangible Current Assests according to the IFRS with the emphasis on IAS 16 - Property, Plant and Equipment. It involves recognition, measurement, depreciation and also disclosure of this Assests. All the parts are described at great lenght and explained by practical examples. IAS 40 - Investment Property and IFRS 5 - Non-Current Assests Held for Sale and Discontinued Operations are also mentioned. The end of the work is devoted to research of 15 companies with the aim to find out, how the theory determined by Standards is functioned in practice.
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Correlation Analysis of various Asset Classes
Urbanová, Sabína ; Brůna, Karel (advisor) ; Pour, Jiří (referee)
Bachelor thesis focuses on correlation analysis of various assets and construction of effective border and optimal portfolio. The thesis consists of four parts. First part describes main theories of portfolio selection and international investing. Second part is characterization of assets chosen for correlation analysis, concretely shares, bonds, gold, silver, crude oil, natural gas and property. In the third part I present correlation coefficients between assets. The last, forth, part is a practical application of correlation coefficients used for portfolio selection.
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