We investigate a system of nonlinear partial differential equations, specifically the so-called Ladyzhenskaya model, in three spatial dimensions. It will be shown that after inclusion of a perturbation of a higher order, the model exhibits a considerably better behavior, in particular it will become quite straightforward to prove differentiability of solutions with respect to the initial condition. Due to this fact we may consequently employ the method of Lyapunov exponents to estimate the fractal dimension of the exponential attractor. First, however, it will be necessary to show existence and uniqueness of solutions, improved regularity and existence of a compact invariant set for the entire system.

TITLE: The impact of static and dynamic stretching on coordination and flexibility in children in primary school AUTHOR: Tereza Plachá DEPARTMENT: Katedra tělesné výchovy SUPERVISOR: Mgr. Lucie Kainová ABSTRACT: In my final thesis I want to deal with two types of warm-up - static stretching and dynamic stretching. Warming up is an important part not only of the sport performance, but also at the beginning of the physical education lesson. In schools, this phase is often neglected. With the help of selected tests, I will observe primary school pupils at primary school to get better results after static or dynamic stretching. I will watch them in coordination and flexibility. I compiled two types of stretching, which I will try in grades 1, 3 and 5. In the first lesson, I will do static stretching with the pupils after the proper warm-up. In the second lesson, I will include dynamic stretching along the busy part. In the main part of the lesson, the pupils then pass three tests for coordination - flamingo, crossing the bench and running with the roll; and three for flexibility - standing forward bend, shoulder joint range, and hip joint range. After dynamic stretching, the children are warmed up, reaching the necessary temperature for further activities. They have a greater range of motion and therefore...

Knowledge as company resource which brings competitive advantage is frequently discussed topic. And managing of knowledge pays increasing attention, because it is possible to maximize utility and minimize losses of knowledge by using appropriate knowledge management. This paper is focused on analysis of Knowledge management process in the context of Unicorn ES Powered Company methodology and on suggestion of possible form of management of the process and its parts, which is the overall goal of this paper.

The presented thesis is focused on aesthetical and acoustic properties of tropical wood. The discussed tropical species are utilized in Europe mainly for their unusual appearance and colour in joinery and furniture production. The irreplacable acoustic properties like low internal friction predestine specific species for production of musical instruments. The colour of six selected tropical species - jatoba (Hymenea courbaril L.), massaranduba (Manilkara bidentata A. Chev.), muiracatiara (Astronium graveolens Jacq.), angelim amargoso (Vatairea spp.), angelim pedra (Hymenolobium spp.) and angelim vermelho (Dinizia excelsa Ducke) - were analyzed and expressed in CIEL*a*b* colour space. Subsequently the samples were exposed to artificial sunlight and the light-induced discolouration rate and progress was evaluated. The colour change was rapid in zhe first hours of exposure and all species showed a similar trend in lightness (L*) change - initial darkening replaced by gradual fading. The change in chromatic parameters (a* and b*) change was specific for individual species and probably related to the chemical composition of the extractives. The overall discolouration of lighter coloured wood samples is more distinctive. The extractive content of tropical species is usually high and determines wood colour. The wood of African Padauk (Pterocarpus soyauxii Taub) and Jatoba (Hymenaea courbaril L.) was extracted in a mixture of methanol, water and acetone. The total extractives and total phenolic content was measured. Extractive content was related to colour parameters and above all to lightness in both species. The increase in extractive content leads to a lighter and more yellow colouration of Jatoba wood while African Padauk was darker with a higher amount of extractives. In Jatoba, a positive correlation was found between extractive content and the rate of discolouration. The extractives are responsible for intensive discolouration of tropical woods in contrast to light coloured woods from the temperate zone, where the yellowing is primarily caused by lignin photodegradation. The sound velocity was measured by ultrasound and resonance longitudinal method in heartwood of doussie (Afzelia bipindensis), merbau (Intsia bijuga), wengé (Millettia stuhlmannii Taub.), muiracatiara (Astronium graveolens Jacq.) and zebrano (Microberlinia brazzavillensis). The sound velocity was not related to the density in any case. Although anatomical structural characteristics as fiber length or ray ratio positively influenced it. With longer fibers and slender rays the sound velocity increased. Other acoustic properties like dynamic young modulus of elasticity, specific modulus of elasticity, internal friction and acoustic conversion efficiency (ACE) were determined and were related to measured anatomical features. The differences in composition of wood tissue of individual species were the main source of departure between the assessed relationships. The wood with longer fibers and lower frequency of rays reached lower values of internal friction. The stiffness of wood characterized by the dynamic modulus of elasticity was correlated with fiber and ray tissue. A higher volume of fibers influenced the stiffness positively, while ray volume had the opposite effect on stiffness. Positive effects of fiber length and ray ratio were found for dynamic modulus of elasticity and for acoustic conversion efficiency as well. Both values increased with longer fibers and higher ray ratio. The sound velocity is the basis of some nondestructive techniques for determination of wood mechanical properties. The comparison of density and three dynamic moduli of elasticity (longitudinal and flexural resonance method and ultrasound method) in prediction of mechanical properties was carried out. The density was evaluated as a poor predictor when the samples are not straight-grained and defect free. The interlocked grain often occurred in tropical species and its presence influences the mechanical properties of wood but not wood density. The dynamic moduli of elasticity showed strong correlation with the static modulus of elasticity. Among nondestructive techniques, the weakest correlation was found for the ultrasound method, which is probably partially explained by different measuring mechanism. The prediction of the modulus of rupture is less accurate when the dynamic modulus of elasticity is compared with the static modulus of elasticity; however, it was still good in comparison with the density model.

This thesis investigates the use of realized volatility features from high frequency data in com- bination with neural networks to improve forecasts of the yield curve of government bonds. I use high frequency data on futures of four U.S. Treasury securities to estimate the Nelson-Siegel yield curve and realized variance of its parameters over the period of 25 years. The estimated parameters are used in prediction of the level, slope and curvature of the yield curve using an LSTM neural network and compared to the Dynamic Nelson-Siegel model. Results show that the use of realized variance and neural network outperforms autoregressive methods in prediction of the level and curvature in daily and monthly forecasts. The yield curve of government bonds itself has a predictive power on multiple macroeconomic variables, therefore improvements in its forecastability may have broader implications on forecasting the overall state of the economy.

Title: Optimization of warm-up before speed-strenght loading Objectives: The aim of this work is to compare three variants of warming up and to determine the most appropriate one before speed-strenght loading. Methods: The test group consisted of 15 male students of the Faculty of Physical Education and Sport at The Charles University at the age of 22 -26 years. The tested subjects underwent 4 tests within 4 weeks. The first test was used to determine the 1 RM bench press and leg-press, the results of which we needed for the proper determination of the weights for the following protocols. The other three measurement protocols include three warm-up (base, a speed-strenght and toning), followed by a test of explosive strength in arms and legs. Countermovement vertical jump height with arm swing was used for legs testing and medicine ball shoot-up in supine position was used for arms testing. Results: This research shows that best results in the countermovement vertical jump height with arm swing were achieved after the speed-power warm-up. The best results in medicine ball shoot-up in supine position were achieved after the basic warm up, but results are not statistically significant for these testing. Keywords: Warm-up, dynamic stretching, speed-force loading, toning, explosive force, testing

Managerial simulators enable us to experiment easily with all possible variants of alternative decisions. This facilitates the process of assessing the effective policies and strategies formed by the managers. The creation of simulators based on the principles of system dynamics in the background is the main point of interest of this diploma thesis. This paper is focused on building a simulator which would simulate policies of communication from the position of Information manager, depending on the variable settings of its parameters. The structure of the model and the parametrization of the simulator comes from practical experiences from the company called NETservis s.r.o., which specializes on the development of internet applications for large international companies. The simulator is therefore intended for the simulation of policies in this particular company, however can also serve as a referential model and be used by other companies.

Previous literature examining the scenario without the constraint of legal tender law is a rather theoretical analysis of the subject matter. Aside from the theoretical examination of the competition of money this paper offers dynamic structural macroeconomic model based on the money in the utility function. This model compares the current monetary conditions with the potential situation permitting more currencies circulating alongside. The main assumption about individuals' preferences over stable currencies underlines the whole paper with emphasis on the mathematical model. The uniqueness of this model lies in the incorporation of variables affecting respective money demand functions into the utility function of the DSGE model and in the purpose of its use as well as its variables, where representative agent is a household owning a bank rather than a firm. Overall the results of this paper favor the idea of exclusion of the legal tender law in a developed country without severe turmoil. Particularly, the ascent of competition among currencies leads to lower inflation than present scenario. However, final simulations of the model in Matlab supplements such so far "unambiguous" view with skepticism due to possible difficulties during discovery process in such scenario.

This thesis deals with the issue of electronic public procurement. The aim of this thesis is to confirm or disprove the following hypotheses. The first hypothesis of this dissertation is the claim that the current legislation constitutes an adequate legal basis for the implementation of electronic public procurement. The second hypothesis states that the electronic public procurement is more efficient and more transparent than the public procurement without electronization. Examining the first hypothesis was chosen in order to determine whether it is necessary to change the law for the possibility of fully electronic public procurement. The second hypothesis, then, in essence asks whether electronization of public procurement improves the efficiency of public procurement and whether it contributes to increase the transparency of public procurement.

This diploma thesis is focused on the application of a system approach, which was configured by the author. Configured approach was used to analyze project of implementation of data warehouse tool. Dynamics of the project delivery system was shown by causal loop diagram and then by system dynamics model. Thesis defined and used terms like system, system complexity, system approach, system approach configuration, causal loop diagram, system dynamics model, system archetype of shifting the burden, data warehouse and its definition against a database definition, project, project organizational structures, methods and their necessity in implementation of information systems projects, feasibility of the information system projects and problems with measurement of project performance. Time-proportional simulation of system dynamics model quantified effects of factors and also quantified different results of project implementation approaches. Based on the analyzed project was provided a brief general recommendations for information systems projects.