My diploma thesis deals with a question of when and where it is possible to seek for origins of columns, questions like why were Our Lady, Trinity and Saints' columns built in Europe and what was the cause of plaque epidemic and its results in Europe are answered. The main part of my diploma thesis focuses on places where these sculptures are situated. The zone is defined by the formal Hradec Králové division and by the town Rychnov nad Kněžnou. The author of this diploma thesis compares his knowledge with works of other authors. In the supplement, the columns are depicted including the map of their placement in Hradec Králové District and in Rychnov nad Kněžnou.

TITLE: Distance Teaching of Natural History During Emergency Measures in the 2nd Half of the School Year 2019/2020 AUTHOR: Martin Panský DEPARTMENT: Department of Biology and Environmental Studies SUPERVISOR: Ing. Jan Andreska, PhD. ABSTRACT: The topic of the diploma thesis is a distance teaching of natural history at primary schools during emergency measures in the second half of the school year 2019/2020, when, in response to a pandemic situation, the physical presence of pupils in schools was banned, both in the Czech Republic and in the most of the countries in the world. This was a completely new situation, to which it was necessary to respond flexibly and systemically in order for teaching to continue to work, at least to a limited extent. The aim of the work was to summarize the experience of science and biology teachers at primary schools in the Czech Republic coming from distance education in the second half of the school year 2019/2020. Moreover this thesis is focuing on naming critical points in distance education of given subjects, defining distance learning opportunities and examining whether such a situation will have further implications for the future form of our education. To meet these goals, I decided to conduct an extensive questionnaire survey, in which I managed to get over 700...

Complex networks have been used to represent the fundamental structure of a multitude of complex systems from various fields. In the network representation, the system is reduced to a set of nodes and links that denote the elements of the system and the connections between them respectively. Complex networks are commonly adaptive such that the structure of the network and the states of nodes evolve dynamically in a coupled fashion. Adaptive networks lead to peculiar complex dynamics and network topologies, which can be investigated by moment-closure approximations, a coarse-graining approach that enables the use of the dynamical systems theory. In this thesis, I study several contact processes in adaptive networks that are defined by the transmission of node states. Employing moment-closure approximations, I establish analytical insights into complex phenomena emerging in these systems. I provide a detailed analysis of existing alternative moment-closure approximation schemes and extend them in several directions. Most importantly, I consider developing analytical approaches for models with complex update rules and networks with complex topologies. I discuss four different contact processes in adaptive networks. First, I explore the effect of cyclic dominance in opinion formation. For this, I propose an adaptive network model: the adaptive rock-paper-scissors game. The model displays four different dynamical phases (stationary, oscillatory, consensus, and fragmented) with distinct topological and dynamical properties. I use a simple moment-closure approximation to explain the transitions between these phases. Second, I use the adaptive voter model of opinion formation as a benchmark model to test and compare the performances of major moment-closure approximation schemes in the literature. I provide an in-depth analysis that leads to a heightened understanding of the capabilities of alternative approaches. I demonstrate that, even for the simple adaptive voter model, highly sophisticated approximations can fail due to special dynamic correlations. As a general strategy for targeting such problematic cases, I identify and illustrate the design of new approximation schemes specific to the complex phenomena under investigation. Third, I study the collective motion in mobile animal groups, using the conceptual framework of adaptive networks of opinion formation. I focus on the role of information in consensus decision-making in populations consisting of individuals that have conflicting interests. Employing a moment-closure approximation, I predict that uninformed individuals promote democratic consensus in the population, i.e. the collective decision is made according to plurality. This prediction is confirmed in a fish school experiment, constituting the first example of direct verification for the predictions of adaptive network models. Fourth, I consider a challenging problem for moment-closure approximations: growing adaptive networks with strongly heterogeneous degree distributions. In order to capture the dynamics of such networks, I develop a new approximation scheme, from which analytical results can be obtained by a special coarse-graining procedure. I apply this analytical approach to an epidemics problem, the spreading of a fatal disease on a growing population. I show that, although the degree distribution has a finite variance at any finite infectiousness, the model lacks an epidemic threshold, which is a genuine adaptive network effect. Diseases with very low infectiousness can thus persist and prevail in growing populations.

Complex networks have been used to represent the fundamental structure of a multitude of complex systems from various fields. In the network representation, the system is reduced to a set of nodes and links that denote the elements of the system and the connections between them respectively. Complex networks are commonly adaptive such that the structure of the network and the states of nodes evolve dynamically in a coupled fashion. Adaptive networks lead to peculiar complex dynamics and network topologies, which can be investigated by moment-closure approximations, a coarse-graining approach that enables the use of the dynamical systems theory. In this thesis, I study several contact processes in adaptive networks that are defined by the transmission of node states. Employing moment-closure approximations, I establish analytical insights into complex phenomena emerging in these systems. I provide a detailed analysis of existing alternative moment-closure approximation schemes and extend them in several directions. Most importantly, I consider developing analytical approaches for models with complex update rules and networks with complex topologies. I discuss four different contact processes in adaptive networks. First, I explore the effect of cyclic dominance in opinion formation. For this, I propose an adaptive network model: the adaptive rock-paper-scissors game. The model displays four different dynamical phases (stationary, oscillatory, consensus, and fragmented) with distinct topological and dynamical properties. I use a simple moment-closure approximation to explain the transitions between these phases. Second, I use the adaptive voter model of opinion formation as a benchmark model to test and compare the performances of major moment-closure approximation schemes in the literature. I provide an in-depth analysis that leads to a heightened understanding of the capabilities of alternative approaches. I demonstrate that, even for the simple adaptive voter model, highly sophisticated approximations can fail due to special dynamic correlations. As a general strategy for targeting such problematic cases, I identify and illustrate the design of new approximation schemes specific to the complex phenomena under investigation. Third, I study the collective motion in mobile animal groups, using the conceptual framework of adaptive networks of opinion formation. I focus on the role of information in consensus decision-making in populations consisting of individuals that have conflicting interests. Employing a moment-closure approximation, I predict that uninformed individuals promote democratic consensus in the population, i.e. the collective decision is made according to plurality. This prediction is confirmed in a fish school experiment, constituting the first example of direct verification for the predictions of adaptive network models. Fourth, I consider a challenging problem for moment-closure approximations: growing adaptive networks with strongly heterogeneous degree distributions. In order to capture the dynamics of such networks, I develop a new approximation scheme, from which analytical results can be obtained by a special coarse-graining procedure. I apply this analytical approach to an epidemics problem, the spreading of a fatal disease on a growing population. I show that, although the degree distribution has a finite variance at any finite infectiousness, the model lacks an epidemic threshold, which is a genuine adaptive network effect. Diseases with very low infectiousness can thus persist and prevail in growing populations.:1. Introduction .................................................................................. 1 2. Moment-closure approximations of complex networks ................. 5 3. Cyclic dominance in adaptive network models of opinion formation .......... 25 4. Performance of moment-closure approximations of adaptive networks .... 35 5. Information and consensus in a fish school ................................. 65 6. Epidemic spreading on growing heterogeneous adaptive networks ......... 83 7. Conclusions ................................................................................. 101 Appendix A: Moment expansion for node update rules ................... 107

This work follows the studies focused on obesity, its global extent and its serious health and economic impact. At the same time, the work examines the unsuccessful fight of public policies which try to reverse growing prevalence of obesity. Nevertheless, the main goal of the thesis is a discussion about priorities of new orientation in the research on the causes of the obesity epidemic and effectiveness of precautions that were taken in many countries and international organizations with the main aim to stop the obesity and its consequences. The discussion leads to the more detailed description of the problems connected with obesity, for instance, environmental aspects, housing culture in relation to physical activities, lifestyle in relation to advertisement/marketing, psychological and socio- psychological aspects, combating stress, etc. My intention was to find out utility of contemporary research on obesity for setting of policy fighting against obesity. At the same time, I wanted to find out other possible directions in the research into this field and discover how the discussion about priorities of the research in the experimental community proceeds. Two international dimensions of paradigmatic approaches separated to the certain degree can be considered as relevant with regard to the global...