We study the existence of special points in extremally disconnected compact topological spaces that witness their nonhomogeneity. Via Stone duality, we are looking for ultrafilters on complete Boolean algebras with special combinatorial properties. We introduce the notion of a coherent ultrafilter (coherent P-point, coherently selective). We show that generic existence of such ultrafilters on every complete ccc Boolean algebra of weight not exceeding the continuum is consistent with set theory, and that they witness the nonhomogeneity of the corresponding Stone spaces. We study the properties of the order-sequential property on σ-complete Boolean algebras and its relation to measure-theoretic properties. We ask whether the order-sequential topology can be compact in a nontrivial case, and partially answer the question in a special case of the Suslin algebra associated with a Suslin tree.

The target of the this diploma thesis called ''The Napoleon's theorem'' is a detailed concentration on this theorem, where the process of so called ''regularization'' is described. Under the investigation of the Napoleon's theorem this diploma thesis is concerned with a lot of proofs, properties and then their generalization in a plane and in space. Pictures, which can help the reader to understand this problem are supplemented in this diploma thesis.

The aim of this diploma thesis is to describe various methods for examining loci of points of given properties. I have chosen both the classical approach and new technologies such as dynamic geometry software GeoGebra or a programme from CAS (Computer Algebra System). The topic loci of points of given properties is often very difficult for pupils to understand, therefore it is important to look at it from various points of view, to choose interesting application tasks and thus motivate learners in their studies. In this paper I present several suggestions for more attractive and amusing ways of teaching this issue at primary, secondary and university level of education.

The work is focused on measuring corporate performance in particular one of the key factors influencing the financial results of the company, which is the volume of production and change. The aim is to assess how a change in production volume affects business performance of selected business entity.

The thesis is focus on means of tracking and cost management in selected farm company. The first part is devote to theoretical and methodological basis of costs and calculate the costs that are obtained from the literature and then applied to the farm company. Further thesis is focus on selected performances (rape, eggs), the development costs of these performances in each year and the application of their calculations that the farm company use and application of the calculation method, which in agriculture is not so common. Here I use microeconomic knowledge in decision making firms not only on the optimal output.

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / Given the potential of the use of physical-chemical process in wastewater treatment, this project aimed to study the reduction of phosphorus and / or nitrogen present in effluents and liquid manure from pigs, meat slaughter of cattle (bovine blood) and disposal of refrigerants. The technology used in the removal of ammonia and phosphorus is its precipitation in the form of struvite (Mg (NH4) PO4.6H2O). To enable the precipitation of ammonia and phosphorus as struvite, is necessary the presence of the participants such as Mg, which will be supplied by the addition of phosphoric acid, potassium phosphate, magnesium hydroxide, magnesium oxide and ammonium chloride concentrations varied. These concentrations were added in 2.0- liter beakers and kept under agitation using a jar-test equipment. Then the samples were filtered and the precipitates were analyzed by diffraction and X-ray. The supernatant was analyzed seen a removal of nitrogen and phosphorus above 80%. The removal of these components depends on the type of effluent tested. Nitrogen and phosphorus precipitated as struvite, can be used in the formulation of fertilizer with slow release of these elements. / Tendo em vista a potencialidade do emprego de processo fisico-químico no tratamento de efluentes, este projeto teve por objetivo estudar a remoção de fósforo e nitrogênio presente em efluentes como de dejetos líquidos de suínos, frigoríficos de abate de bovinos (sangue bovino) e descartes de refrigerantes. A tecnologia empregada na remoção de nitrogênio e fósforo é a sua precipitação sob a forma de estruvita (Mg(NH4)PO4.6H2O). Para possibilitar a precipitação do nitrogênio e do fósforo como estruvita, foi necess ria a presença de substâncias como o Mg e PO4, os quais foram supridos pela adição de cido fosfórico, fosfato de potássio, hidróxido de magnésio, óxido de magnésio e cloreto de amônia em concentrações variadas. Essas concentrações foram adicionadas em reator de 2,0 L e permanecem sob agitação utilizando um equipamento jar-test . Em seguida, as amostras foram filtradas e os precipitados foram analisados por difração de raios-X. Nos sobrenadantes analisados, foi verificada uma remoção de nitrogênio e fósforo acima de 80%. A remoção destes componentes depende do tipo de efluente ensaiado. O nitrogênio e fósforo, precipitados na forma de estruvita, podem ser utilizados na formulação de fertilizante com lenta liberação destes elementos.

I have decided to deal with the issue of "Risk Sources of Ammonia Cooling Systems and Their Eventual Accidental Impacts" as the risk of leakage from the cooling systems using ammonia as a coolant still prevails these days. Eventual accidental leakage simulation models were applied to several winter stadiums using ammonia as a coolant. Based on these results, it has been assessed how dangerous these sources for the citizens living in their surroundings are and measures to increase safety were suggested, too.

Biochemical Oxygen Demand (BOD) is commonly used for determining how fast biological organisms use up oxygen in a body of water. It is one of the essential methods used in water quality management and assessment. BOD could be considered as a quality level indicator of biologically treated water. This process is very time-dependent but most common period of incubation is five days - BOD(5). In this thesis different periods of incubation are compared - for BOD(5) with five days incubation period and BOD(2+5) with five days incubation period but also placed for two days to lowered temperature environment. These comparative tests were made for different types of water (surface water, waste water - water from mechanical level and biological level of treatment) For all kinds of determination of BOD the dilution method was used (ČSN EN 1899).

In this diploma thesis precursors of quantum phase transitions in finite many-body systems are studied. The main attention is paid to the mechanism, how nonanalytic behaviour of the ground state is generated for certain critical values of real control parameters. It is shown that nonanalytic behaviour of energy levels and eigenstates is closely connected with exceptional points of the hamiltonian, which are points in control parameter space extended into a complex domain where at least two eigenvalues and corresponding eigenvectors coincide. Differences in the distribution of exceptional points in the complex plane of control parameter for the first and second order phase transitions and also evolutions of the position of exceptional points with increasing particle number are discussed.

Presented thesis is called Pathways Out of Homelessness from the Respondents Point of View. It basis lays in the analysis of interviewes with nine respondents by so called grounded theory method. As an answer to the question - How formaly homeless people get back to the society from their point of view? - the model of Changeable identity emerged. Its description is the basis of this thesis. I clarify two positions "homeless person" and "person with full society membership" within it, I am observing the transformation from the first position to the second through the reintegration process. I follow influences that affect it. In conclusion, I discuss a question of the end of homelessness. Key words: identity, process of reintegration, the turning point, homeless person, end of the homelessness, full society membership