This study deals with analysis of the agricultural company layout. The utilization of agricultural areas is optimized with such a sowing technique that leads to the highest harvest profit. All these issues are being solved by the conversion to the linear programming model which is the most resembling to the combination of production planning and allocation problem. A case study is based on actual data given by Agrofarma Týnec, s.r.o. company. The 48 sections of field in different proportion are taken in consideration as well as five different crops. The study tries to deal with more options taking in account different trade prices of set commodities and a hectare sowing limitation. The main model anticipates pessimistic trade prices expectations and does not restrict hectare sowing with single crops. The model is followed by the price coefficient analysis that gives the price level to be kept to let the computed solution be optimal. Lingo13.0 was used as an optimization software.

The thesis brings a comprehensive analysis of the food crisis of recent years. There was a dramatic increase in staple food prices in 2007-2008 and 2010-2011 which combined with persistent poverty is a serious problem for many millions of people. The objective of the thesis is to analyze the causes of this phenomenon. There are also examined socio-economic effects of rising global food prices on the quality of life in developing countries. In this sense, research is carried out whether the appropriate means helped to solve the food crisis and there are also suggested other options to address the current situation in order to reduce hunger and undernutrition in the world and avoid other people fall into poverty. Research is conducted using the method of observation, causal analysis and synthesis.

This thesis deals with the business plan to form a boutique law firm focusing on tax disputes. The thesis answers the question, whether the business plan can be successful. The first part of this thesis is theoretical. The next section contains analyzes related to setting up the firm. The last part deals with the financial plan. The thesis shows, that this business plan is very attractive while avoiding all the risks.

Title: Weak solutions for a class of nonlinear integrodifferential equations Author: Ivan Soukup Department: Department of mathematical analysis Supervisor: RNDr. Tomáš Bárta, Ph.D. Supervisor's e-mail address: tomas.barta@mff.cuni.cz Abstract: The work investigates a system of evolutionary nonlinear partial integrodifferential equations in three dimensional space. In particular it stud- ies an existence of a solution to the system introduced in [1] with Dirichlet boundary condition and initial condition u0. We adopt the scheme of the proof from [9] and try to avoid the complications rising from the integral term. The procedure consists of an approximation of the convective term and an ap- proximation of the potentials of both nonlinearities using a quadratic function, proving the existence of the approximative solution and then returning to the original problem via regularity of the approximative solution and properties of the nonlinearities. The aim is to improve the results of the paper [1]. 1

In this work we study the existence of weak solutions for compressible Navier-Stokes equations in unbounded time dependent domains. Using the methods introduced in Feireisl E. Dynamics of Viscous Compressible Fluids we extend the results of article Feireisl E. Neustupa J. Stebel J., Convergence of a Brinkman-type penalization for compressible fluid flows, which studies the flow with a "no-slip" boundary condition on bounded domains. Next, we extend results of article Feireisl E. Kreml O. Nečasová Š. Neustupa J. Stebel J., Weak solutions to the barotropic Navier- Stokes system with slip boundary conditions in time dependent domains, which studies flow with compete Navier boundary condition. Finally, we discuss solutions for rotating fluid system. In this case, there are new members in momentum equation, representing the Coriolis and centrifugal force, which cause problems.

In this thesis we provide an existence result for a regularized model of viscoelastic non- newtonian fluid. We consider incompressible fluid with shear rate dependent viscosity and with Cauchy stress tensor capable to describe stress relaxation. An elastic part of the Cauchy stress tensor is governed by Oldroyd-type differential equation. In particular, we are interested in fluids with strong shear thinning effect. We prove that if the viscosity function µ (D) is such that tensor µ (D) D is p-coercive, monotone and has (p − 1)-growth for p > 6 5 and some other additional assumptions are satisfied, then there exists a solution to the system of PDEs describing the flow in a bounded domain. The proof is not simple because the convective term is not integrable with a high power. The problem is solved using Lipschitz truncation method for evolution PDEs. 1

This thesis deals with the work of school psychologists in the field of teachers burnout syndrom. The purpose of this study is to describe how the school psychologists perceive burnout syndrome, how they contribute in its prevention and solving this problem in schools. The theoretical part focuses on the definition of school psychology according to current Czech law and available studies. The focus is on the work of school psychologists with teachers. The following chapters describe burnout syndrome, its causes, symptoms, prevention and how to handle it. The focus is on the teachers, whose job can be risky due to burnout syndrome. The practical part includes the results of qualitative research. The research was derived through interviews with 11 school psychologists (10 women and 1 man). According to my analysis I found that the school psychologists view burnout syndrom as a genuine problem and also recognise that being a teacher can be a risky occupation. They do not have any appropriate diagnostic tools to detect the professional satisfaction of the teachers. In some cases they monitor the situation at school. While working, they both consciously and unconsciously contribute to the prevention of the teachers burnout syndrome. When the teachers know that the psychologists are there for them, it...

Name: Radegast Index Marketing Strategy Objectives: This diploma thesis deals with the research of the Radegast Index project, which is for the fifth year official statistics of the highest Czech ice hockey competition. The work was complemented by expert studies on the subject. The main task of the work was to find out the awareness of the Radegast Index project and the association of Radegast with hockey at all. Then design the strategic solutions resulting from the results of questionnaires, interviews and SWOT analysis and can serve to improve the project itself. Methods: The research of the Radegast Index project and the association of Radegast with hockey was conducted using a questionnaire. Another important part of the research was the interview with the Radegast brewery brand specialist and the SWOT analysis of the project. Results: As a result, I will propose Marketing Strategies that will raise awareness of the connection between Radegast and the ice hockes as well as the Radegast Index. Keywords: Hockey, Radegast, strategic solutions, SWOT analysis

My thesis deals with various methods of solving the correlation of~the~diametres of four mutually tangent circles. It also deals with the history of~the~derivation of mathematical property. The didactic part contains a book of solved tasks. It involves the topic of Apollony fractals, gothic vaults, examples of~mutually tangent circles and set of exercises for practising different solutions of the various cases.

The goal of the dissertation is to find new method of solving two-dimensional Schrödinger equation in such cases, when the separation of the variables is not applicable. The results are applied to the two-dimensional Schrödinger equation with the potentials of the form of the quartic polynomial, of the sextic polynomial and of the quartic Morse potential. For these cases, the analytical formulae for the ground state wave functions and the corresponding energies have been found. For the specific class of the potentials of the form of the quartic polynomial, analytical formula for one of the excited states and for the corresponding energy have been found.