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Unsteady flow in pipeline
Šrenk, David ; Fialová, Simona (referee) ; Himr, Daniel (advisor)
The thesis deals with unsteady flow in the pipeline. Only one component of velocity is dominant in piping, so the problem is simplified to one-dimensional. Bachelor thesis has an analytical basis in partial differential equations of hyperbolic type. The problem and types of numerical methods are also numerically described. The numerical methods describe the boundary conditions and properties of the given methods.
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Visualization of spectroscopic data using Principal Component Analysis
Šrenk, David ; Žák, Libor (referee) ; Pořízka, Pavel (advisor)
This diploma thesis deals with using laser-induced breakdown plasma spectroscopy for determining the elemental structure of unknown samples. It was necessary to design an appropriate method to qualify material by laser-induced emission spectrum. Pretreatment of data and using a variety of chemometrics methods had to be done in order to qualify the structure of elements. We achieved a required solution by projecting the data to a new PCA space, creating clusters and computing the Euclidean distance between each cluster. The experiment in the practical part was set to detect an interface of two elements. We created a data file simulating the ablation on the interface. This data set was gradually processed applying a mathematical-chemical-physical view. Several data procedures have been compiled: approximation by Lorenz, Gauss and Voigt function and also a pretreatment method such as the detection of outliers, standardization by several procedures and subsequent use of principal components analysis. A summarization of processes for input data is fully described in the thesis.
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Visualization of spectroscopic data using Principal Component Analysis
Šrenk, David ; Žák, Libor (referee) ; Pořízka, Pavel (advisor)
This diploma thesis deals with using laser-induced breakdown plasma spectroscopy for determining the elemental structure of unknown samples. It was necessary to design an appropriate method to qualify material by laser-induced emission spectrum. Pretreatment of data and using a variety of chemometrics methods had to be done in order to qualify the structure of elements. We achieved a required solution by projecting the data to a new PCA space, creating clusters and computing the Euclidean distance between each cluster. The experiment in the practical part was set to detect an interface of two elements. We created a data file simulating the ablation on the interface. This data set was gradually processed applying a mathematical-chemical-physical view. Several data procedures have been compiled: approximation by Lorenz, Gauss and Voigt function and also a pretreatment method such as the detection of outliers, standardization by several procedures and subsequent use of principal components analysis. A summarization of processes for input data is fully described in the thesis.
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Unsteady flow in pipeline
Šrenk, David ; Fialová, Simona (referee) ; Himr, Daniel (advisor)
The thesis deals with unsteady flow in the pipeline. Only one component of velocity is dominant in piping, so the problem is simplified to one-dimensional. Bachelor thesis has an analytical basis in partial differential equations of hyperbolic type. The problem and types of numerical methods are also numerically described. The numerical methods describe the boundary conditions and properties of the given methods.
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