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Some results in convexity and in Banach space theory
Kraus, Michal ; Lukeš, Jaroslav (advisor) ; Kalenda, Ondřej (referee) ; Smith, Richard (referee)
This thesis consists of four research papers. In the first paper we construct nonmetrizable compact convex sets with pathological sets of simpliciality, show- ing that the properties of the set of simpliciality known in the metrizable case do not hold without the assumption of metrizability. In the second paper we construct an example concerning remotal sets, answering thus a question of Martín and Rao, and present a new proof of the fact that in every infinite- dimensional Banach space there exists a closed convex bounded set which is not remotal. The third paper is a study of the relations between polynomials on Banach spaces and linear identities. We investigate under which conditions a linear identity is satisfied only by polynomials, and describe the space of poly- nomials satisfying such linear identity. In the last paper we study the coarse and uniform embeddability between Orlicz sequence spaces. We show that the embeddability between two Orlicz sequence spaces is in most cases determined only by the values of their upper Matuszewska-Orlicz indices. 1
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Integral representation theorems in noncompact cases
Kraus, Michal ; Malý, Jan (referee) ; Lukeš, Jaroslav (advisor)
Classical Choquet's theory deals with compact convex subsets of locally convex spaces. This thesis discuss some aspects of generalization of Choquet's theory for a broader class of sets, for example those which are assumed to be only closed and bounded instead of compact. Because Radon measures are usually defined for locally compact topological spaces, and this is not the case of the closed unit ball in a Banach space of infinite dimension, there are used the so called Baire measures in this setting. This thesis particularly deals with the question of existence of resultants of these measures, with the properties of the resultant map, with the analogy of Bauer's characterization of extreme points and with some other concepts known from compact theory. By using some examples we show that many of these theorems doesn't hold in noncompact setting. We also mention forms of these theorems which can be proved.
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The individual regeneration programmes for the improvement of the clinical symptoms and dysfunktions of the locomotive system in patient with multple sclerosis
Kraus, Milan ; Prokešová, Eva (referee) ; Strnad, Pavel (advisor)
3 ABSTRACT TITLE OF WORK: The individual regeneration programmes for the improvement of the clinical symptoms and dysfunctions of the locomotive system in patient with multiple sclerosis. WORK AIMS: The aim of the work is to suggest and clarify the individual regeneration programmes for the improvement of the clinical symptoms and dysfunctions of the locomotive system in patient with multiple sclerosis. This work should find out to what degree the regeneration programmes influence the improvement of the clinical symptoms and dysfunctions of the locomotive system in patient with multiple sclerosis and what the influence of the duration of these programmes is. METHOD: The method of this research was to create the individual regeneration programmes, wich included: exercises of the pivotal regions of the correct body postures, modified spinal exercises, particular individual exercises to stretch the muscles, breathing exercises, exercises of Feldenkrais method, eye exercises, the positive efect on the mind and relaxation methods. It was used the neurological tests, clinical tests and the method of the palpation and aspection. The evaluation of the improvement of the clinical symptoms and dysfunctions of the locomotive system was under way on the basis of the clinical tests of the measured parameters (spastic,...
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Parallel Computer Systems Based on Numerical Integrations
Kraus, Michal ; Kubátová, Hana (referee) ; Kollár,, Ján (referee) ; Kunovský, Jiří (advisor)
This thesis deals with continuous system simulation. The systems can be described by system of differential equations or block diagram. Differential equations are usually solved by numerical methods that are integrated into simulation software such as Matlab, Maple or TKSL. Taylor series method has been used for numerical solutions of differential equations. The presented method has been proved to be both very accurate and fast and also procesed in parallel systems. The aim of the thesis is to design, implement and compare a few versions of the parallel system.
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Sensitivity of Czech provenances of European common ash and narrow-leaved ash to invasive pathogen Hymenoscyphus fraxineus
Kraus, Marek ; Pešková, Vítězslava (advisor) ; Čížková, Dana (referee)
This thesis deals with a survey of provenance areas and assessment of attacking Fraxinus excelsior L. and Fraxinus angustifolia by the pathogen Hymenoscyphus fraxineus.
The aim of the thesis is to map the incidence of infected trees in these areas and to evaluate the sensitivity of the sites to the pathogen Hymenoscyphus fraxineus.
The theoretical part deals with processing of data collected during field work on selected provenance areas Koneprusy and Veltruby. Amongst the evaluated parameters there were: trunk diameter at measuring height, tree height, and especially canopy drying caused by Hymenoscyphus fraxineus. As the outcome of the survey photographs were taken and records were collected for individual trees in the provenance areas. Each of the trees has its own unique label that has accurately defined its location to prevent potential errors in data processing. The processed data was then evaluated in NCSS 8.0 software and cluster analysis was performed in order to compare the provenances. This analysis only compares the provenances, which are located in both provenance areas. The results show that no provenance without the pathogen Hymenoscyphus fraxineus attack appeared in the provenances Koneprusy and Veltruby. Subjects in 4 ŠLP Kostelec nad Černými Lesy - Svojšice and 24 LS Czech Krumlov Chvalšiny proved to be more resistant than others. Although the increase in the tree height and the trunk thickness is the largest on those areas the defoliation rate is high. It is probable that the population of these provenances will gradually die. Due to growing abbility of some individuals located in other provenances it is obvious that habitat conditions and individual resilience are key factors.
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Podnikatelský plán v oblasti gastronomie
Kraus, Martin
The aim of bachelor thesis "Business plan in gastronomy" is writing a business plan for start-up providing services in gastronomy. The thesis is divided in theoretical and practical part. Former describes basic terms of entrepreneurship and particular parts of business plan. Subsequent part focuses on applying explained principles and design business plan for start-up.
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Taylor Series Assembler
Valenta, Václav ; Kraus, Michal (referee) ; Kunovský, Jiří (advisor)
The objective of this work is to get familiar with numerical solution of differential equations. The solution is made by specialized microprocessor HC08. Basic arithmetic operations and algorithms which helps to make precise results are analyzed here.
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