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Determination of measurement uncertainty nano-CMM
Brlica, Pavel ; Jankových, Róbert (referee) ; Šrámek, Jan (advisor)
The topic of this master thesis is the issue of measurement uncertainty of nano-CMM, specifically SIOS NMM-1 machine. Theoretical part of the thesis consists of basic measurement uncertainty definitions, description of approaches to CMM measurement uncertainty and differences between classical CMM and nano-CMM. For measurement uncertainty calculation of nano-CMM, two method are chosen and adapted – substitution method and Monte Carlo method. These are applied in practical part for measurement uncertainty calculation of SIOS NMM-1 machine. Part of the practical part is performed measurement on machine in laboratory at the Czech Metrology institute in Brno. The outcome of this thesis is determination of measurement uncertainty of SIOS NMM-1.
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Funkcionální rovnice a jejich využití v úlohách matematické olympiády
LOUDOVÁ, Hana
The diploma thesis focuses on solving functional equations that appeared in the problems of Mathematical Olympiads. The thesis provides an overview of the best known and the most commonly used methods to solve these mathematics problems. Specifically, it is the substitution method, the variable symmetry method, the Cauchy method, and the fixed-point method. The contribution of the diploma thesis are the summary Mathematical tasks concerning the functional equations found from available years of both the Czech Mathematical Olympiad and the Middle European Mathematical Olympiad, the European Girls' Mathematical Olympiads, and the International Mathematical Olympiads. In addition, the summary of Mathematical tasks from the Czech Mathematical Olympiad provides a detailed written procedure of their solutions. Also, some of the several tasks of functional equations are solved in detail in each method. The work also brings a chart, which compares the success of the Czech representatives with other countries in problems containing functional equations in the above types of Mathematical Olympiads.
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Determination of measurement uncertainty nano-CMM
Brlica, Pavel ; Jankových, Róbert (referee) ; Šrámek, Jan (advisor)
The topic of this master thesis is the issue of measurement uncertainty of nano-CMM, specifically SIOS NMM-1 machine. Theoretical part of the thesis consists of basic measurement uncertainty definitions, description of approaches to CMM measurement uncertainty and differences between classical CMM and nano-CMM. For measurement uncertainty calculation of nano-CMM, two method are chosen and adapted – substitution method and Monte Carlo method. These are applied in practical part for measurement uncertainty calculation of SIOS NMM-1 machine. Part of the practical part is performed measurement on machine in laboratory at the Czech Metrology institute in Brno. The outcome of this thesis is determination of measurement uncertainty of SIOS NMM-1.
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