The celebrated Schrödinger equation is the key to understanding the dynamics of quantum mechanical particles and comes in a variety of forms. Its numerical solution poses numerous challenges, some of which are addressed in this work. Arguably the most important problem in quantum mechanics is the so-called harmonic oscillator due to its good approximation properties for trapping potentials. In Chapter 2, an algebraic correspondence-technique is introduced and applied to construct efficient splitting algorithms, based solely on fast Fourier transforms, which solve quadratic potentials in any number of dimensions exactly - including the important case of rotating particles and non-autonomous trappings after averaging by Magnus expansions. The results are shown to transfer smoothly to the Gross-Pitaevskii equation in Chapter 3. Additionally, the notion of modified nonlinear potentials is introduced and it is shown how to efficiently compute them using Fourier transforms. It is shown how to apply complex coefficient splittings to this nonlinear equation and numerical results corroborate the findings. In the semiclassical limit, the evolution operator becomes highly oscillatory and standard splitting methods suffer from exponentially increasing complexity when raising the order of the method. Algorithms with only quadratic order-dependence of the computational cost are found using the Zassenhaus algorithm. In contrast to classical splittings, special commutators are allowed to appear in the exponents. By construction, they are rapidly decreasing in size with the semiclassical parameter and can be exponentiated using only a few Lanczos iterations. For completeness, an alternative technique based on Hagedorn wavepackets is revisited and interpreted in the light of Magnus expansions and minor improvements are suggested. In the presence of explicit time-dependencies in the semiclassical Hamiltonian, the Zassenhaus algorithm requires a special initiation step. Distinguishing the case of smooth and fast frequencies, it is shown how to adapt the mechanism to obtain an efficiently computable decomposition of an effective Hamiltonian that has been obtained after Magnus expansion, without having to resolve the oscillations by taking a prohibitively small time-step. Chapter 5 considers the Schrödinger eigenvalue problem which can be formulated as an initial value problem after a Wick-rotating the Schrödinger equation to imaginary time. The elliptic nature of the evolution operator restricts standard splittings to low order, ¿ < 3, because of the unavoidable appearance of negative fractional timesteps that correspond to the ill-posed integration backwards in time. The inclusion of modified potentials lifts the order barrier up to ¿ < 5. Both restrictions can be circumvented using complex fractional time-steps with positive real part and sixthorder methods optimized for near-integrable Hamiltonians are presented. Conclusions and pointers to further research are detailed in Chapter 6, with a special focus on optimal quantum control. / Bader, PK. (2014). Geometric Integrators for Schrödinger Equations [Tesis doctoral]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/38716 / TESIS / Premios Extraordinarios de tesis doctorales

The subject of the thesis is the use of musical activities in the development of graphomotor skills of preschool children. The theoretical part of the thesis is devoted to the problem of harmonization of music and movement at the level of gross and fine motor skills. It also deals with the issue of laterality and its distinctness. The practical part contains a detailed case study of a boy with a disadvantageous type of laterality and follows the development of his graphomotor skills during 15 lessons, the core of which are musical activities for the development of graphomotor skills of preschool children. I used multiple complementary research methods in the in-depth case study, which were participant observation, mother interview, open-ended questionnaire, family and personal history, and PPP report. The action research was conducted over a ten-month period, with the boys being 4 years and 3 months old at the start of the research. The practical part of the thesis analyses the action research data and evaluates the overall impact of specific musical activities in the development of preschool children's graphomotor skills.

Title: Assessment of motor skills in children of younger school age with autism spectrum disorder practising applied behavior analysis with the MABC-2 test battery Objectives: The aim of the work is to assess the motor skills of children of younger school age with autism spectrum disorder using the test battery MABC-2 (Movement Assessment Battery for Children - Second Edition). The obtained results will be compared with the standards for Czech children and children with autism spectrum disorder who do not practice Applied Behavior Analysis. Methods: The motor skills of children with autism spectrum disorder were assessed using the MABC-2 test battery (Henderson et al., 2007) - Movement Assessment Battery for Children - Second Edition. The method of comparison was used in the work, namely the results of children with autism spectrum disorder with standards for Czech children and both groups of tested children - one group practicing applied behavior analysis with another group of children without intervention. Results: We found that children with autism spectrum disorder (ASD) in our sample showed a significantly higher incidence of motor problems. All involved children with ASD (n = 10) in the research fall into the 3rd zone (score below the 5th percentile), where there are significant motor...

This diploma thesis concerns construction technology preparation of a sport centre in Brno, Řečkovice. The objective of the thesis is to design economically appropriate course of construction works, in accordance with technological requirements and principles of health and occupational safety during the realization of particular structures and parts of the construction. The thesis contains basic information about the construction, the developer, the author of the project documentation and about conducted surveys. Further it includes the construction technology project, its financial and time effort, traffic relations of the construction site, the situation of the construction site, proposal of the machinery equipment, economical of the principal construction machinery and technological standard. This thesis is focused on lower gross fabric with special foundation on pylons.

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Thesis (Ph.D. (Economics)) -- University of Limpopo, 2022 / This study investigated the relationship between economic complexity and the three mac-roeconomic variables in a comparative setting between selected Sub-Saharan African (SSA) and BRICS countries. Economic complexity as a development index reveals how sophisticated a country is as shown by its exports structure through the Product Com-plexity Index (PCI) and Economic Complexity Index (ECI). The three macroeconomic var-iables are gross domestic product per capita (GDP per capita), current account and fixed investment (gross fixed capita formation) for the period 1994 to 2018.The first three set study objectives were investigated on whether there exists a short and long-run relation-ship through a Panel Autoregressive Distributed Lag (PARDL). The the fourth objective was to test for causality through a standard Granger causality, and fifth, to forecast the macroeconomic variables for the foreseeable future utilising the Impulse Response Func-tion (IRF) and the variance decomposition techniques, these are complementary tech-niques. The last two objectives were to draw a comparative analysis upon the findings, and to relate on the product complexities and economic landscape in the selected SSA and BRICS. Reporting on the ECI-GDP per capita nexus, the PARDL estimates revealed a positive and significant association between ECI and GDP per capita in both the se-lected SSA and BRICS in the long-run. There was no Granger causal effect between ECI and GDP per capita for both set of countries. The concern was in relation to forecasting GDP per capita due to a shock in ECI. The selected SSA GDP per capita response to a shock in ECI was neutral when adopting the IRF technique, and the variance decompo-sition also revealed small estimates in both the short and long-run, below 1%. In the BRICS economies, there was a meaningful positive reaction from a shock in ECI when deploying the IRF technique, while the variance decomposition had a 3% response in the long run when seen through the variance decomposition. On the current account-ECI relationship, the PARDL estimates exposed that there was a positive and significant impact from ECI on the current account in both the groups in the long-run significant while short-run results were insignificant. Granger causality could not detect any causal effect between ECI and current account in the selected SSA, while in the BRICS countries there was a unidirectional causal effect from ECI to current account. When forecasting the current account, the selected SSA reacted negatively to a shock in v ECI seen through the IRF, and the variance decomposition also revealed a small reaction in any period. In the BRICS case, current account’s response was a positive and explo-sive reaction from a shock in ECI when applying the IRF technique. The VD revealed a higher change in current account was explained by a shock in ECI. On the ECI-Fixed Investment, the PARDL estimates showed that there was a long-run positive and signifi-cant effect between ECI and fixed investment in bothgroups. However, the Granger causal results revealed no presence of causality in the selected SSA, while there was causal unidirectional effect from ECI to fixed investment. The IRF technique revealed a negative fixed investment reaction from a shock in ECI, and the variance decomposition results revealed a small reaction in fixed investment in the selected SSA. In the BRICS case, there was a positive and explosive fixed investment emanating from a shock in ECI. Utilising the variance decomposition fixed investment in BRICS was explained by inno-vative shocks in ECI in the long run. On the last two objectives, comparatively the selected SSA countries are disadvantaged as they are concentrated in negative ECI as seen in the descriptive statistics, reflecting that they are still much less developed. This tells us that they are less industrialised as compared to the BRICS nations who are better off. These selected SSA economies are not developed enough as compared to the BRICS nations. The SSA region needs to learn from the leading BRICS countries by creating a conducive environment for a better de-velopment of innovation that improves the domestic value chain that produces knowledge-based products for the export market. The rest of the selected SSA region should form part of economic integrations with the more developed countries that offer mutual beneficiation like South Africa to fast track the developmental of their states. There is a need to modernise the agricultural and agro-industries. The region should harness the full potential of its agricultural sector. This will create a large global market share and perhaps increase the current account outlook through trade with more efficient agro-pro-cessed products. Africa needs to scale up investment in many fronts from government to private investment to improve infrastructure, more so that the scale of needs is so much in the continent.

Thesis (Ph.D. (Agricultural Economics )) -- University of Limpopo, 2021 / Regardless of the strategies adopted globally and nationwide to fight food insecurity within communities, particularly in the rural context, poverty becomes a major constituent which translates to most rural households experiencing food insecurity shocks. Given the high unemployment rate in South Africa which triggers several household’s vulnerability to food insecurity, the country has diverse natural resources which include indigenous plants such as Indigenous Leafy Vegetables (ILVs), which can be used as food and for business purposes by its residents. Irrespective of the diversity of ILVs in South Africa, there is a significant decline in the production and consumption of ILVs particularly in rural areas where these vegetables are mostly available. In addition, production and consumption of ILVs may not only address food insecurity but these vegetables may benefit households through the income obtained from their sales. The income generated from sales of ILVs may therefore assist towards improving and sustaining rural livelihood needs. Given this background information, the study aimed at assessing ILV production for income generation and food security among rural households in the Eastern Cape Province (ECP) of South Africa. The study was conducted within the three district municipalities of the ECP which were selected because statistics report these districts to be the most affected areas by poverty within the province. These districts are OR Tambo District Municipality (ORTDM), Alfred Nzo District Municipality (ANDM) and Joe Gqabi District Municipality (JGDM). Multistage and proportional random sampling procedures were employed to select households which could participate in the study. Thus, 407 households within these three (3) districts municipalities were used for the purposes of the study. The study also included interviewing role players within the ILV production value chain, thus a snowball sampling procedure was used to select role players. Sixteen hawkers and three input suppliers were interviewed from the three district municipalities. In addition, from the 407 households that were interviewed, 260 households from the three district municipalities reported to be producers of ILVs. A structured questionnaire was therefore used to collect pertaining data allied in achieving the aim of the study. The collected data was captured using Excel 2016, after data cleaning, it was then exported to Statistical Package for Social Sciences (SPSS) version 25 for analysis. Numerous analytical models were used from SPSS 25. For instance, to identify and describe socio-economic characteristics of households, to assess the most produced ILVs from the study areas and to identify role players within the ILV production value chain, descriptive statistics in a form of means, percentages, frequencies, and standard deviation was used. To determine factors which influence production of ILVs, a Binary Logistic Regression Model was used. A Multinomial Logistic Regression model was used to determine factors which influence different uses of ILVs by households and to determine factors influencing food security status among households. A gross margin analysis was used to estimate viability from each ILV produced, harvested and sold, while Household Food Insecurity Access Scale (HFIAS) was used to measure food security status among households. Lastly, a correlation matrix was also used to determine the relationship between the role players and their functions among the ILV production value chain. Based on the results, the study therefore concluded that, from the three district municipalities used in the study, there are various ILVs growing naturally and produced. The production of ILVs from these municipalities is habituated by socio economic characteristics of households, wherein households use ILVs for various purposes which include these vegetables as source of food, medicine and livestock feed. The use of ILVs among households is influenced by socio-economic characteristics and seasonal availability of ILVs in ORTDM, while in ANDM and JGDM, the use of ILVs by households is conditioned by socio-economic characteristics of households, knowledge/ awareness related to nutrition and health benefits of ILVs and seasonal production of ILVs. Furthermore, this research concludes that, ILVs have a potential of diversifying diets and addressing food insecurity problems within rural parts of the three districts. Given the positive gross margins from the three districts, production and selling of ILVs has a potential to contribute to rural household income. Lastly, the study concludes that, the ILV production value chain system lacks governmental support in the form of institutional engagement since there is no evidence of extension officer support from these three district municipalities concerning ILVs production. To this end, the study recommends that, policy makers should further establish inclusion of ILVs in both farming and food systems. Also, government and related institutions which focus on sustainable rural development must intervene in promoting production of ILVs particularly within rural contexts since production of these vegetables may alleviate poverty through job creation, addressing food insecurity and income generation. Thus, a successful intervention of government and policy makers in ILV production would have a potential of translating to sustainable rural livelihoods / National Research Foundation (NRF)

Pollution is one of humanity's most pressing problems. Although there are many types of pollution, air pollution is one of the main causes of global warming. Therefore, simultaneously improving environmental quality and economic growth, and studying the variables that affect this relationship, has been one of the key issues for researchers and policymakers in recent years, especially in the wake of the United Nations 2030 Agenda for Sustainable Development.This paper aims to estimate the relationship between carbon emissions, GDP per capita, renewable energy and non-renewable energy sources as well environmental taxes in G10 industrialized countries over the period 1972-2020. Regression analysis and panel data were used to answer the questions. Previous studies of the Ecological Kuznets Curve (EKC) for CO2 emissions, with most samples based on G10 member countries, have had mixed results. The environmental Kuznets curve shows that economic development initially leads to environmental degradation, but once economic growth reaches a certain level, the relationship between society and the environment begins to improve and the degree of environmental degradation decreases. From a very simple perspective, this might suggest that economic growth is good for the environment. Critics, however, argue that economic growth is not guaranteed to lead to environmental improvements, which can often backfire. At the very least, it requires very targeted policies and attitudes to ensure that economic growth goes hand in hand with environmental improvement. / <p> Tre helt olika miljö-/BNP-kurvor</p><p>Studien undersöker etablerade teorier för att beskriva sambandet mellan miljöskador och ekonomisk aktivitet, inklusive Environmental Kuznets Curve (EKC), Brundtland Curve Hypothesis (BCH) och Environmental Daly Curve (EDC).</p>

Thesis (M.Com. (Economics)) -- University of Limpopo, 2022 / The primary goal of this study was to investigate the effects of budget deficit on fixed investment using annual data for the period 1990-2017 in selected African countries namely, Cameroon, Namibia, Ghana, Egypt, Seychelles, Mauritius, Botswana, Lesotho and South Africa. The study employed panel unit root tests including the Augmented Dickey-Fuller test, Philips Perron test and Levin Lin and chu test. The tests revealed that all the variables are integrated at 1st difference. The study further employed the Panel ARDL bounds test to examine the relationship between budget deficit, fixed investment, money supply and inflation. The empirical findings indicated that a long run relationship exists between the variables of interest. Furthermore, the results revealed that the budget deficit has a negative and statistically significant effect on fixed investment. A one percent increase in the budget deficit, ceteris paribus, leads to a reduction in fixed investment by 44 percent in the long run. The findings further postulated a bidirectional causal relationship between budget deficit and fixed investment, between money supply and fixed investment and between fixed investment and inflation. It was evident in the research that indeed the budget deficit is a problematic macroeconomic policy in African countries. Policy makers should limit high government expenditures as they contribute to increased and persistent budget deficits which crowd out private investment.

[pt] O presente trabalho realizou análise acerca do conceito de Grave e Genera-lizada Violação de Direitos Humanos (GGVDH), a fim de investigar quais são as fundações da definição ampliada de refugiado e como se deu a sua construção no Brasil. Através de pesquisa bibliográfica e documental, os dados usados nesta Dissertação de Mestrado foram coletados das seguintes fontes: teses, dissertações, livros e artigos; relatórios do governo, de organizações internacionais e não go-vernamentais; tratados, declarações e legislações. Esta dissertação buscou apre-sentar a arquitetura protetiva internacional da pessoa humana, investigando as conexões com os diversos mecanismos do Direito Internacional dos Direitos Hu-manos, suas complementaridades, seus regimes e aplicações regionais e nacionais para, então, explorar a trajetória do refúgio no Brasil não somente até a construção do conceito de GGVDH pelo governo, mas também no seu reconhecimento. Em um primeiro momento, deu-se a apresentação do arcabouço jurídico internacional, sua interdependência e relevância para a proteção humana, culminando na Decla-ração de Cartagena (1984) e seus processos revisionais. Posteriormente, desen-volveu-se o histórico brasileiro em matéria de refúgio, chegando ao período de redemocratização e incorporação do conceito de GGVDH pela Lei n° 9.474/1997. Por fim, passou-se à breve análise do reconhecimento de refúgio no Brasil por GGVDH, no intento de mapear o posicionamento do governo frente a essa defini-ção, sua aplicação e limitações, apontando algumas nuances e conclusões. / [en] The present study undertook an analysis about the concept of Gross and Generalized Violation of Human Rights (GGVDH), in an attempt to understand what the foundations of the extended definition of refugee are and how it has been constructed in Brazil. Through a bibliographic and documental research, the data used in this Master s Thesis was collected from the following sources: theses, dissertations, books and articles; reports from government, international and non-governmental organizations; treaties, declarations and legislation. This thesis sought to present the international protective architecture of the human person, investigating its connections with the various mechanisms of International Human Rights Law, their complementariness, regimes, regional and national applications to then, explore the refuge trajectory in Brazil, not only until the construction of the GGVDH concept by the government, but also its recognition. Initially, the international legal framework was presented, their interdependence and relevance to the human protection, culminating in the Cartagena Declaration (1984) and its revision processes. Subsequently, it demonstrated the Brazilian history in terms of refuge, up until the period of re-democratization and incorporation of the GGVDH concept by the Law n 9.474/1997. Finally, it presented a brief analysis of the refugee status recognition under GGVDH in Brazil, in an attempt to map the gov-ernment’s position in relation to this definition, its application and limitations, pointing out some nuances and conclusions.