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Affine mappings and transformations in the plane with solved examples
Barborka, Lukáš ; Tůmová, Veronika (advisor) ; Zamboj, Michal (referee)
Analytical geometry widely uses the apparatus of linear algebra, it is, of course, its natural application. The aim of this thesis is the theoretical interconnection, for many students still abstract, bases of the linear algebra with their practical application in the analyti- cal geometry, especially in affine transformations and their use in the solved examples in the plane. This thesis is intended to put concepts known from the course of Linear algebra (homomorphism, eigenvalues/eigenvectors, orthogonal matrices, transition matri- ces...) into context with practical using in the analytical geometry, whether in the form of proofs of important theorems using the linear algebra and arithmetic apparatus, or the following solved examples. The aim of the examples is to provide some insight or guidance on the solution of the same or analogous tasks. The theory and examples are in some cases supplemented with illustrations for better clarity. The work is divided into several parts for greater clarity. The introduction is repeated important concepts of linear algebra such as group, field, vector space, Euclidean space, linear mapping (homomorphism), change of coordinates matrix, eigenvalue/eigenvector of the matrix. It also switches to affine point space, affine coordinate system, transformation equation for...
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Congruences for Tree Automata
Žufan, Petr ; Janků, Petr (referee) ; Holík, Lukáš (advisor)
This thesis discusses testing of tree automata (TA) equivalence. We propose a new algorithm based on Bonchi Pouse's algorithm of word automata. The new algortihm combines bisimulation and determinization on the fly. Using an optimalization based on congruence closure, we try to avoid extreme expansion of state space. From this point of view, the new algorithm is better than others.
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Application of the Person-Centered Approach (PCA) principles in management
Mitaczová, Jana ; Junková, Vendula (advisor) ; Loneková, Katarína (referee)
The basic objective of the theoretical part of this diploma thesis is to present Rogers' Person- centred Approach (PCA) in terms of its development, theory, basic principles and potential applications out of therapeutical context, with emphasis on leadership. The first chapter is devoted to general knowledge of the PCA and in the second chapter there is a more detailed description of possible applications of the PCA in management. The basic objective of the empirical part is to verify the relationship between main necessary conditions of PCA in people management (respectively in person-centered leadership) and employees' organizational commitment. The quantitative research in the form of correlation study has been carried out on a sample of 63 respondents, employees of various organizations in various fields. Barrett-Lennard Relationship Inventory (BLRI) and Organizational Commitment Questionnaire (OCQ) were used as research methods. The results show the significant correlation between organizational commitment and measures of empathic understanding, congruence, and level of regard expressed by managers towards employees. The significant relationship between organizational commitment and unconditionality has not been confirmed. Besides the hypotheses linked to the basic goal there are some other...
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More Complicated cases of Congruence
Mžourková, Hana
Most linguistic publications describe only the basic rules of congruence, and difficult cases are handled very rarely or not at all. Based on research by the language consulting department data implies that most problems come from congruence in the cases of names of musical groups, business companies, services, sport teams, etc. I would like to present in this paper some of the difficult problems of congruence and their possible solutions.
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Neutrum versus nonneutrum (a pragmatic-cognitive aspect of the category of gender)
Vondráček, Miloslav
Neutrum versus nonneutrum (a pragmatic-cognitive aspect of the category of gender) Abstrakt angl.: Gender has become a rather formal linguistic category. However, masculines, feminines and neutra are projected in language users´ minds as namings for male, female and immature beings. Czech language has several means of establishing a hierarchy of gender distinguishing/indifferent naming means. Gender partly appears as a cognitive category. A pronoun which belongs in the system to those non-expressing gender gains a particular gender semantics in real speech, which is formally projected into congruent forms; we talk about ourselves as about male or female beings.The paper presents a documentary of a communicative use of a (dis)harmony between gender implications of nouns and awareness of their holders´ sexual membership.
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