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Library for Boolean Functions in Algebraic Normal Form
Vasilišin, Maroš ; Mrázek, Vojtěch (referee) ; Dobai, Roland (advisor)
This bachelor thesis focuses on design and implementation of library in C language for manipulation od Boolean functions in Algebraic Normal Form. Majority of existing libraries for representation of Boolean functions is based on binary decision diagrams. Algebraic Normal Form presents several advantages over binary decision diagrams, for example Boolean value of function can be determined in linear time. Implemented library uses simple structures to effectively represent Boolean function in program. After experiments we determined that representation in Algebraic Normal Form has its applications, and in some cases it provides better results than representation in binary decision diagrams.
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Mathematics in modern encryption methods
KOŠÁKOVÁ, Alena
In my diploma thesis I deal with a topic that is very neglected in today's world, yet one encounters it almost every day. This is a problem of mathematics in modern encryption methods. Encryption itself is a wide area, so I focused on the most famous modern cryptosystems. The work deals with symmetric, asymmetric and hybrid cryptosystems. Those interested can read in the diploma thesis about the history, development, but also the advantages and disadvantages of individual cryptosystems. Greater attention is also paid to encryption based on elliptic curves, because from the point of view of mathematics, this issue is interesting. The whole work is divided into several important chapters for clarity and better orientation in the text. In conclusion, I included specific examples of practical use of encryption for a comprehensive view of the reader.
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Role of human figure drawing in Indicative test of school maturity
Michálková, Anna ; Klusák, Miroslav (advisor) ; Presslerová, Pavla (referee)
The thesis studies the role of human figure drawing in Orientační test školní zralosti (i. e. Jirasek's Orientation Test of School Readiness). The starting point is the correspondence between human figure drawing and other tasks in both verbal and non-verbal thinking. For the empirical material we have chosen pre-school children results in Orientační test školní zralosti, including the verbal thinking test and Raven's Coloured Progressive Matrices. The aim is to examine correspondence of human figure drawing with other tasks taking into account verbal and non-verbal thinking and logical and infralogic operations. The data was collected in two stages with the interval of four months and therefore it is able to assess durability of findings in time. The thesis is beneficial in terms of qualitative analysis of discovered correspondences and also in developing a theory of abilities tested by the test, especially regarding human figure drawing. Last but not least it is helpful in examining similarities and differences in the ability of children to analyse and synthetize. KEY WORDS: school maturity, drawing, figure, man, writing, points, matrices, verbal thinking, non-verbal thinking, logical operations, infralogic operations, analysis, synthesis
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The Role of Human Figure in Indicative Test of School maturity
Michálková, Anna ; Klusák, Miroslav (advisor) ; Presslerová, Pavla (referee)
The thesis deals with the role of drawing of a human figure in Jirásek's Orientation Test of school maturity. The aim is to contribute to the development of theory of tested abilities. Empirical material consists of the works of preschool children in the Oriental Test of School Maturity, including the one for verbal thinking and in a selected set of Raven color progressive matrices. Data collection took place in two phases, four months apart. The underlying question is whether performance in drawing of a human figure will correlate more closely with performance in other tasks that are also oriented towards nonverbal (vs. verbal) and infralogical (vs. logical) operations. It turned out that it is not the case since the correlation is related rather to the degree of the general intellectual level. When analyzing developmental correlations within the given time frame, the development of drawing of a male character was grasped as a variable working synchronously with the development of other tasks. It was also grasped in the first phase as an independent variable and also as a dependent variable. Applying stricter correlation rates it has been shown that in a time interval of 4 months, the initial level of drawing of a human figure does not significantly affect development in other areas.Weaker...
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Library for Boolean Functions in Algebraic Normal Form
Vasilišin, Maroš ; Mrázek, Vojtěch (referee) ; Dobai, Roland (advisor)
This bachelor thesis focuses on design and implementation of library in C language for manipulation od Boolean functions in Algebraic Normal Form. Majority of existing libraries for representation of Boolean functions is based on binary decision diagrams. Algebraic Normal Form presents several advantages over binary decision diagrams, for example Boolean value of function can be determined in linear time. Implemented library uses simple structures to effectively represent Boolean function in program. After experiments we determined that representation in Algebraic Normal Form has its applications, and in some cases it provides better results than representation in binary decision diagrams.
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Role of human figure drawing in Indicative test of school maturity
Michálková, Anna ; Klusák, Miroslav (advisor) ; Presslerová, Pavla (referee)
The thesis studies the role of human figure drawing in Orientační test školní zralosti (i. e. Jirasek's Orientation Test of School Readiness). The starting point is the correspondence between human figure drawing and other tasks in both verbal and non-verbal thinking. For the empirical material we have chosen pre-school children results in Orientační test školní zralosti, including the verbal thinking test and Raven's Coloured Progressive Matrices. The aim is to examine correspondence of human figure drawing with other tasks taking into account verbal and non-verbal thinking and logical and infralogic operations. The data was collected in two stages with the interval of four months and therefore it is able to assess durability of findings in time. The thesis is beneficial in terms of qualitative analysis of discovered correspondences and also in developing a theory of abilities tested by the test, especially regarding human figure drawing. Last but not least it is helpful in examining similarities and differences in the ability of children to analyse and synthetize. KEY WORDS: school maturity, drawing, figure, man, writing, points, matrices, verbal thinking, non-verbal thinking, logical operations, infralogic operations, analysis, synthesis
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