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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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Determination of measurement uncertainties of holes in steel components by X-ray computed tomography
Blažek, Pavel ; Šperka,, Jiří (referee) ; Kalasová, Dominika (advisor)
This thesis deals with determination of uncertainties of dimensional measurements in X-ray computed tomography. CT measurement process involves a lot of steps and is affected by a lot of factors, which depend not only on the CT system parameters but also on the measured sample and the operator. All of this influences the resulting uncertainty. Experimental method involving calibrated workpieces allows to determine the uncertainty without perfect knowledge of the influence factors. This method is described in standards ISO 15530-3 and VDI/VDE 2630 2.1. The aim of this work is to experimentally determine the uncertainty of tomographic measurement of dimensions of holes of selected workpiece on a CT device GE phoenix v|tome|x L240. Hence, a demonstration workpiece has been designed and manufactured. The dimensional CT measurements of inner and outer diameters have been performed on this sample. The reference measurement has been performed using a length measuring machine SIP 1002. The uncertainty of measurement depending on penetration thickness of the material has been determined.
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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 uncertainties of holes in steel components by X-ray computed tomography
Blažek, Pavel ; Šperka,, Jiří (referee) ; Kalasová, Dominika (advisor)
This thesis deals with determination of uncertainties of dimensional measurements in X-ray computed tomography. CT measurement process involves a lot of steps and is affected by a lot of factors, which depend not only on the CT system parameters but also on the measured sample and the operator. All of this influences the resulting uncertainty. Experimental method involving calibrated workpieces allows to determine the uncertainty without perfect knowledge of the influence factors. This method is described in standards ISO 15530-3 and VDI/VDE 2630 2.1. The aim of this work is to experimentally determine the uncertainty of tomographic measurement of dimensions of holes of selected workpiece on a CT device GE phoenix v|tome|x L240. Hence, a demonstration workpiece has been designed and manufactured. The dimensional CT measurements of inner and outer diameters have been performed on this sample. The reference measurement has been performed using a length measuring machine SIP 1002. The uncertainty of measurement depending on penetration thickness of the material has been determined.
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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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Define integral in Economics
ČERMÁK, Pavel
In thesis task there was mentioned little bit of indefinite integral theory and computation methods. After that was described the definite integral theory, its properties, computation methods, first of all the Newton-Leibniz formulary, and its connection with indefinite integral. Then was shown where is possible to use definite integral on examples in mathematics. The most important part of the thesis is the application of definite integral theory on examples in economics. Each subchapter is occupied by one application. At the beginning of each part the rough description of economics view is contained. Then is defined an equation eventually equations for computing. All of this is demonstrated on examples.
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