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Movement in mathematics
Muchová, Zuzana ; Jirotková, Darina (advisor) ; Hejný, Milan (referee)
In my thesis I concern with the use of motoric activities in math classes. The chapters that offer a range of motoric activities were processed on the base of a questionnaire and an experiment. Some of the activities are currently being implemented in math classes by teachers of first, second and third grades at primary schools, others are part of textbooks designed for this age group. In addition to that, I offer five more possible activities, which have been recorded and interpreted within six experiments. The goal of the thesis is to demonstrate that physical movement cannot be separated from the life of six to nine years old children, and offer some motoric activities, which can potentially be contributive for development of mathematical skills and abilities.
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Signal complexity evaluation in the processing of functional magnetic resonance imaging
Vyhnánek, Jan ; Boldyš, Jiří (advisor) ; Dvořák, Jiří (referee)
Functional magnetic resonance imaging has been recently the most common tool for examining the neural activity in human and animals. The goal of a typical data-mining challenge is the localisation of brain areas activated during a cognitive task which is usually performed using a linear model or correlation methods. For this purpose several authors have proposed the use of methods evaluating signal complexity which could possibly overcome some of the shortcomings of the standards methods due to their independence on a priori knowledge of data characteristics. This work explains possibilities of using such methods including aspects of their configuration and it proposes an evaluation of performance of the methods applied on simulated data following expected biological characteristics. The results of the evaluation of performance showed little advantage of these methods over the standard ones in cases when the standard methods were possible to apply. However, some of the methods evaluating signal complexity were found useful for determining the regularity of signals which is a feature that cannot be assessed by the standard methods. Optimal parameters of the methods evaluating signal regularity were determined on simulated data and finally the methods were applied on the data examining emotional processing of...
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Slabá řešení pro třídu nelineárních integrodiferenciálních rovnic
Soukup, Ivan ; Bárta, Tomáš (advisor) ; Kaplický, Petr (referee)
Title: Weak solutions for a class of nonlinear integrodifferential equations Author: Ivan Soukup Department: Department of mathematical analysis Supervisor: RNDr. Tomáš Bárta, Ph.D. Supervisor's e-mail address: tomas.barta@mff.cuni.cz Abstract: The work investigates a system of evolutionary nonlinear partial integrodifferential equations in three dimensional space. In particular it stud- ies an existence of a solution to the system introduced in [1] with Dirichlet boundary condition and initial condition u0. We adopt the scheme of the proof from [9] and try to avoid the complications rising from the integral term. The procedure consists of an approximation of the convective term and an ap- proximation of the potentials of both nonlinearities using a quadratic function, proving the existence of the approximative solution and then returning to the original problem via regularity of the approximative solution and properties of the nonlinearities. The aim is to improve the results of the paper [1]. 1
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