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The Influence of Temperature on the Uniaxial Compressive Strength of Rocks
Brabec, Marek ; Šimáček, Roman
This study focuses on determination of the temperature effect on uniaxial compressive strength of different rock types. For our laboratory tests, we chose local greywacke from the Kobeřice quarry which is situated 10 km south of Prostějov. For comparison, datasets representing other rock types have been gathered from the literature cited. As shown in this study, the rock type structure, composition or the processes that formed the rock can influence how the compressive strength changes across the temperature range. Results of similar analyses can be utilized during the design of underground constructions or for assessment of the fire damage on a rock-based constructions.
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The effect of temperature on the mechanical properties of greywacke
Brabec, Marek ; Horák, Vladislav (referee) ; Krmíček, Lukáš (advisor)
The author of this master's thesis studied the influence of high temperatures on Lower Carboniferous greywacke sampled in the Kobeřice quarry near Prostějov. Two sets of cylindrical bodies were produced, made of fine and relatively coarse-grained greywacke. The samples were then fired at temperatures up to 1200 °C. Thermally altered samples were then studied in laboratory using rock mechanics and petrography methods. Results of the study were then carefully interpreted to determine relations between the rock parameters, structural changes and the firing temperature. The master's thesis also contains a brief insight into rock thermomechanics, necessary theoretical background to the used methods and geological context of the Drahany Upland, where the samples of the tested greywacke were taken.
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Estimates of covariances for estimated concentration field
Brabec, Marek ; Malý, Marek ; Malá, Ivana
Developing estimation of relevant covariance matrix entries for the spatial model as a necessary part for computing pointwise standard errors (as formalizations of local uncertainty for the gridded estimates). They, in turn are precursors for optimization algorithms aimed at measurement network design problems (location of added and/or deleted measurement points).
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DC 5.3 Fundamental large scale statistical model
Brabec, Marek ; Malý, Marek ; Malá, I. ; Hladká, Adéla
This document describes suite of fundamental large-scale statistical models developed from data provided by CHMI (Czech Hydrometeorological Institute). The models were constructed in several variants, differing in complexity, detail and computational demands. Spatial models will be, after some further developments and modifications (necessary not only from the natural model evolution but also due to systematic changes brought e.g. by covid outbreak influences) used as the main input for optimization algorithms constructed for selection of measurement stations on the principles of statistical design theory and methods.
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Dynamic model for estimation of radon concentration in buildings
Vaňková, Barbora ; Brabec, Marek (advisor) ; Komárek, Arnošt (referee)
Title: Dynamic model for estimation of radon concentration in buildings Author: Barbora Vaňková Department: Department of probability and mathematical statistics Supervisor: Ing. Marek Brabec, Ph.D. Supervisor's e-mail address: mbrabec@cs.cas.cz Abstract: In the present work there is described the method for estimation of functi- onal data from discrete values and basic methods of functional data analysis. 1
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Stochastic modellinf of epidemics
Vencálek, Ondřej ; Antoch, Jaromír (advisor) ; Brabec, Marek (referee)
Nazev prace: Stochasticke modelovani epidemii Autor: Oridfej Venealek Katedra: Katedra pravdepodobnosti a matenmticke sta.t.i.stiky Vedouci diplomove prace: Prof. RNDr. .Jaromi'r Antoch. CSe. e-mail vedoucfho: Jaromir.Antoch'3mff.cuni.c-/ Abstrakt: Tato diplomova prace se zabyva modelovanmi prevalence chfipky v Ceske repnb- lice v letech 2001 az 2003. Vychazi z dat laskave ZHpujccnych Statnhn zdravotm'm ustavem. Z hlediska epiclemiologie jde o observaeni deskriptivuf studii: zabyva se rozdelenhn poctu riernocnych chfipko\ v prnbehu sledovaneho ubdobi v ceske populaci. Matematiekym podkla- dem pro modelovaih je nelinearni hierarehicky model. Funkem tvar zavislo.sti prevalence na case vyehazt z teorie rustovyeh kfivek. Klicova slova: prevalence, sledovane obdobi, riistove kfivky, hierarehicky model Title: Stochastic- Modelling of Rpidemy Autor: (Jndrej Vencalek Department: Department of Probability and Mathematical Statistics Supervisor: Prof. RNDr. Jaronn'r Antoch, CSc. Supervisor's e-mail address: Jaromir.Antochl'0.|inff.ei.mi.cz Abstract: This diploma tbesis deals with modelling of prevalence of influenza in the C/ech Republic in the period from 2001 till 2003. It is based on data which were khidly lent by Statin' zdravotni nstav. This work is observational descriptive study from the view of epidemiology:...
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