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Recently, Aumüller and Dietzfelbinger proposed a version of a dual-pivot Quicksort, called "Count", which is optimal among dual-pivot versions with respect to the average number of key comparisons required. In this master's thesis we provide further probabilistic analysis of "Count". We derive an exact formula for the average number of swaps needed by "Count" as well as an asymptotic formula for the variance of the number of swaps and a limit law. Also for the number of key comparisons the asymptotic variance and a limit law are identified. We also consider both complexity measures jointly and find their asymptotic correlation.
Cleaning an ion beam from unwanted fractions is crucial for intense ion beams. This thesis will explore separation methods using a collimation channel, electric and magnetic dipoles and a velocity selector for low intensity beams on an experimental basis. In addition, statistical data of degassing events during the commissioning of a pentode extraction system for beam energies from 20 - 120keV will be presented.
The aim of this thesis is finding a geometric configuration that allows electron insertion into a Gabor plasma lens in order to increase the density of the confined electrons and provide ignition conditions at parameters where ignition is not possible. First, simulations using CST and bender were conducted to investigate several geometric configurations in terms of their performance of inserting electrons manually. One particular design has been chosen as a basis for an experiment. In order to prepare the experiment, further simulations using the code bender have been conducted to investigate the density distribution that is formed inside the Gabor lens when inserting electrons transversally in compliance with the chosen design. Additionally, bender was used to investigate the impact of the initial electron energy on the distribution inside the lens. Simulations with and without space charge effects have shown a significant impact of the space charge effects on the resulting density dstribution. Therefore, space charge effects have proven to be the major electron redistribution process. A given electron source was characterised in order to find the performance under the conditions inside a Gabor lens. In particular, a transversal magnetic field that will be present in the experiment has to be compensated by shielding the inner regions of the source by a μ-metal layer. Using a μ-metal shield, transversal magnetic fields are sufficiently tolerable to perform measurements in a Gabor lens. Additionally, operating close to 100 eV electron energy yields a maximum in the emitted current. Adding a Wehnelt cylinder to the electron source furthermore improves the extracted current to roughly 1 mA. A test stand consisting of a newly designed anode for the Gabor lens, as well as a terminal for the electron source, was constructed. The electron source was thoroughly characterised in the environment of the Gabor lens and the ignition properties of the new system were evaluated. In further experiments, electron beam assisted ignition by increasing the residual gas pressure was observed and the impact of the position of the electron source on the ignition properties was investigated. In addition, ignition of a sub-critical state, that is a state consisting of potential, magnetic field and pressure that did not yet perform ignition by itself, was performed by increasing the extracted current from the electron source. Finally, the electron source was used to influence a pre-ignited plasma. The density was measured, which was increased by the use of the electron source in most cases. This project is part of the EDEN collaboration (Electron DENsity boosting) of the NNP Group at IAP Frankfurt with INFN institutes in Bologna and Catania.
Computing the diameter of a graph is a fundamental part of network analysis. Even if the data fits into main memory the best known algorithm needs O(n2) [3] with high probability to compute the exact diameter. In practice this is usually too costly. Therefore, heuristics have been developed to approximate the diameter much faster. The heuristic “double sweep lower bound” (dslb) has reasonably good results and needs only two Breadth-First Searches (BFS). Hence, dslb has a complexity of O(n+m). If the data does not fit into main memory, an external-memory algorithm is needed. In this thesis the I/O model by Vitter and Shriver [4] is used. It is widely accepted and has produced suitable results in the past. The best known external-memory BFS implementation has an I/O-complexity of W(pn B + sort(n)) for sparse graphs [5]. But this is still very expensive compared to the I/O complexity of sorting with O(N/B * logM/B (N/B)). While there is no improvement for the external-memory computation of BFS yet, Meyer published a different approach called “Parallel clustering growing approach” (PAR_APPROX) that is a trade-off between the I/O complexity and the approximation guarantee [6].
In this thesis different existing approaches will be evaluated. Also, PAR_APPROX will be implemented and analyzed if it is viable in practice. One main result will be that it is difficult to choose the parameter in a way that PAR_APPROX is reasonably fast for every graph class without using the semi external-memory Single Source Shortest Path (SSSP) implementation by [1]. However, the gain is small compared to external-memory BFS using this approach. Therefore, the approach PAR_APPROX_R will be developed. Furthermore, a lower bound for the expected error of PAR_APPROX_R will be proved on a carefully chosen difficult input class. With PAR_APPROX_R the desired gain will be reached.
The measurement of dielectrons (electron-positron pairs) allows to investigate the properties of strongly interacting matter, in particular the Quark-Gluon Plasma (QGP), which is created in relativistic heavy-ion collisions at the LHC. The evolution of the collision can be probed via dielectrons since electrons do not interact strongly and are created during all stages of the collision. One of the interests in dielectron measurements is motivated by possible modifications of the electromagnetic emission spectrum in the QGP, where pp collisions are used as a medium-free reference. The dielectron spectrum consists of contributions from various processes. In order to estimate contributions of known dielectron sources, simulations of the so-called dielectron cocktail are performed. In this thesis, dielectron cocktails in minimum bias pp collisions at p s = 7 TeV, p–Pb collisions at p sNN = 5.02 TeV and in central (0-10%) and semi-central (20-50%) Pb–Pb collisions at p sNN = 2.76 TeV at the LHC are presented.
The Time Projection Chamber (TPC), a large gaseous detector, is the main particle identification device of the ALICE experiment at the CERN LHC. The desired performance of the TPC defines the requirements for the gas mixture used in the detector. The active volume was filled with either Ne-CO2 (90-10) or Ne-CO2-N2 (90-10-5) during the first LHC running period. For LHC Run 2 the gas mixture is changed to Ar-CO2. Calculations of relevant gas properties are performed for Ar-based gas mixtures and compared to Ne-based gas mixtures to identify the most suitable Ar mixture. The drift velocity of ions in Ar is lower than in Ne. The closing time of the gating grid has to be adjusted accordingly to avoid drift field distortions due to back-drifting ions. The drift times of ions in the TPC readout chambers are calculated for the respective gas mixtures to determine the time to collect all ions from the amplification region. For LHC Run 3 the TPC readout chambers will be upgraded. The Multiwire Proportional Chambers (MWPCs) will be replaced by readout chambers based on Gas Electron Multipliers (GEMs) which are operated in continuous mode. As a consequence an ion backflow of the order of 1% causes significant space-charge distortions in the TPC drift volume. Similar distortions are expected in data taken specifically for the study of space-charge effects at the end of Run 1. The gating grid of the MWPCs is operated in the open state allowing the ions from the amplification region to enter the drift volume. The magnitude of the distortions in this data is measured and compared to the expectations for the TPC upgrade and results from current simulations.
This work proposes to employ the (bursty) GLO model from Bingmer et. al (2011) to model the occurrence of tropical cyclones. We develop a Bayesian framework to estimate the parameters of the model and, particularly, employ a Markov chain Monte Carlo algorithm. This also allows us to develop a forecasting framework for future events.
Moreover, we assess the default probability of an insurance company that is exposed to claims that occur according to a GLO process and show that the model is able to substantially improve actuarial risk management if events occur in oscillatory bursts.
In the second half of the last century, a brave idea of providing aid to developing countries not only because of humanitarian reasons, but also because of a global economic interdependency was born. International organizations shared this view with a great enthusiasm and significantly increased their engagement in low-income countries believing that these nations need to and can be helped. This movement stirred an interest of the academia and, as a result, research on the outcomes of international donors’ engagement in recipient countries started.
The main aim of this thesis is to analyze a broad spectrum of literature on aid effectiveness in developing countries and to summarize the main findings concerning an impact of state fragility and conflict on the efficiency of donor engagement. However, the main focus of this research lies in an own empirical analysis of some well-established hypotheses, as well as in a statistical testing of the outcomes obtained by other authors in a relevant field of study.
The effectiveness of foreign aid...
This work derived the value of α-induced production cross sections of 77Kr and 77Br at α-energies of 12 MeV and 14 MeV, the thick target yields of 77Kr and 77Br at α-energies of 11.19 MeV, 13 MeV and 15.1 MeV and the thick target yield of 80Br as well as 80mBr at an α-energy of 15.1 MeV using the activation technique...
In situ rainwater harvesting has a long history in arid and semi-arid regions of the world buffering water shortages for human consumption and agriculture. In the context of an Integrated Water Resource Management (IWRM) in the Cuvelai Basin in northern Namibia, roof top rainwater harvesting is being introduced to a rural community for the irrigation of household scale gardens for the cultivation of horticulture products. This study elaborates how harvested rainwater can be used for garden irrigation in a sustainable manner evaluating ecologic, economic and social implications. Considering local conditions eight cropping scenarios were designed, including different criteria as well as one and two annual planting seasons. These schemes were tested under present climate conditions and under three future climate change scenarios for 2050 with the help of a tank model designed to model monthly tank inflows and outflows. Special attention was laid on risk and uncertainty aspects of varying inter-annual and interseasonal precipitation and future climate change. A framework for the assessment of sustainability was adapted to the purposes of this study and indicators have been developed in order to assess the cropping and irrigation schemes for sustainability.
The study found that with the given tank size of 30 m³, depending on crop scenario, under optimized conditions a garden area of 60 to 90 m³ can be irrigated. The choice of crops highly impacts water use efficiency and economic profitability, compared to the considerably lower impact of amount of annual planting seasons and future climate change. In the case of worsening future climate conditions, adaptation measures need to be taken as especially the economic as well as the environmental situation are expected to exacerbate due to expected decreases in yields and revenues. Already under present conditions however, the economic dimension represents the most limiting factor to sustainability, particularly due to the excessive investment costs of the rainwater harvesting and gardening facility. Nonetheless, rainwater harvesting in combination with gardening can be regarded as successful in securing household nutrition, providing sufficient horticulture products for household consumption or market sale. At the same time with the optimal choice of crops the investment costs can be recovered within the end of the lifespan of the facility.
Asymptotic giant branch (AGB) stars are initially low and intermediate mass stars undergoing recurrent hydrogen and helium shell burning. During the advanced stage of stellar evolution AGB stars follow after the helium core burning ceased and are located in the AGB of the Hertzsprung-Russell Diagram. One characteristic is their ability of element synthesis, especially carbon and nitrogen, which they eject in large amounts into the interstellar medium. But AGB stars also feature a slow-neutron capture process called s-process which forms approximately 50 % of all elements between Fe and Bi. The initial mass function emphasizes the importance of the synthesized ejecta of AGB stars since they are much more abundant than massive stars. Therefore, the abundance evolution of many elements in the universe is drastically affected by AGB stars. In order to understand chemical evolution in the universe their behavior must be known since their first appearance. In previous times less heavy elements were produced and available. Hence AGB stars with lower heavy element content, which means lower metallicity, must be investigated. They appear to behave substantially differently than stars of higher metallicity. Another issue is that AGB stars have mass-dependent characteristics from which follows a division into low-mass, massive and super AGB stars. Super AGB stars have the most open issues due to their large masses and initial mass boundaries that separate them from massive stars. Due to large spectroscopic surveys in the last years, many low metallicity stars have been analyzed. These findings make it necessary to complement those studies through stellar modeling. This work makes a step in this direction. The AGB star masses under investigation are 1M⊙, 1.65M⊙, 2M⊙, 3M⊙, 4M⊙, 5M⊙, 6M⊙ and 7M⊙ which include low-mass, massive and super AGB stars. Metallicities of Z = 6 x 10 exp-3 and Z = 1 x 10 exp-4 (for comparison, solar Z ~ 0.02) were chosen. These results are an extension of already available data, covering solar and half-solar metallicity, but without super AGB stars. Therefore physics input includes mainly well-established approaches rather than new theories. New physical approaches are included due to the low metallicity which makes the results a unique set of models. Additionally, extensive s-process network calculations lead to production factors of all included elements and isotopes. The s-process signatures of those stars were analyzed. The stellar evolution simulations presented in this work have been utilized for rate and especially sensitivity studies. One approach done was to analyze s-process branchings at 95Zr and 85Kr for stars at 3M⊙ with Z = 1 x 10 exp-2 and Z = 1 x 10 exp-3 respectively.
In this work we study basic properties of unstable particles and scalar hadronic resonances, respectively, within simple quantum mechanical and quantum field theoretical (effective) models. The term 'particle' is usually assigned to entities, described by physical theories, that are able to propagate over sufficiently large time scales (e.g. from a source to a detector) and hence could be identified in experiments - one especially should be able to measure some of their distinct properties like spin or charge. Nevertheless, it is well known that there exists a huge amount of unstable particles to which it seems difficult to allocate such definite values for their mass and decay width. In fact, for extremely short-lived members of that species, so called resonances, the theoretical description turns out to be highly complicated and requires some very interesting concepts of complex analysis.
In the first chapter, we start with the basic ideas of quantum field theory. In particular, we introduce the Feynman propagator for unstable scalar resonances and motivate the idea that this kind of correlation function should possess complex poles which parameterize the mass and decay width of the considered particle. We also brie
y discuss the problematic scalar sector in particle physics, emphasizing that hadronic loop contributions, given by strongly coupled hadronic intermediate states, dominate its dynamics. After that, the second chapter is dedicated to the method of analytic continuation of complex functions through branch cuts. As will be seen in the upcoming sections, this method is crucial in order to describe physics of scalar resonances because the relevant functions to be investigated (namely, the Feynman propagator of interacting quantm field theories) will also have branch cuts in the complex energy plane due to the already mentioned loop contributions. As is consensus among the physical community, the understanding of the physical behaviour of resonances requires a deeper insight of what is going on beyond the branch cut. This will lead us to the idea of a Riemann surface, a one-dimensional complex manifold on which the Feynman propagator is defined.
We then apply these concepts to a simple non-relativistic Lee model in the third chapter and demonstrate the physical implications, i.e., the motion of the propagator poles and the behaviour of the spectral function. Besides that, we investigate the time evolution of a particle described by such a model. All this will serve as a detailed preparation in order to encounter the rich phenomena occuring on the Riemann surface in quantum field theory. In the last chapter, we finally concentrate on a simple quantm field theoretical model which describes the decay of a scalar state into two (pseudo)scalar ones. It is investigated how the motion of the propagator poles is in
uenced by loop contributions of the two (pseudo)scalar particles. We perform a numerical study for a hadronic system involving a scalar seed state (alias the σ-meson) that couples to pions. The unexpected emergence of a putative stable state below the two-pion threshold is investigated and it is claeifieed under which conditions such a stable state appears.
This work deals with the determination of the scale parameter ΛM̄S̄ from lattice QCD and perturbation theory results of the static quark-antiquark potential for nf = 2. The investigation is done in momentum space. Lattice methods as well as perturbation theory calculations are introduced. Another part of this work concerns the calculation of the quark-antiquark potential from gauge link configurations for nf = 2 + 1 + 1.
Origin of the German Novel
(1927)
Representations of the reasons and actions of terrorists have appeared in German literature tracing back to the age of Sturm und Drang of the 18th century, most notably in Heinrich von Kleist's Michael Kohlhaas and Friedrich Schiller's Die Räuber, and more recently since the radical actions of the Red Army Faction during the late 1960s and early 1970s, such as in Uli Edel's film, The Baader Meinhof Complex. By referring to Walter Benjamin's system of natural law and positive law, which provides definitions of differing codes of ethics with relation to state laws and personal ethics, one should be able to understand that Michael Kohlhaas, Karl Moor, and the members of the RAF are indeed represented as terrorists. However, their actions and motives are not without an internal ethics, which conflicts with that of their respective state-sanctioned authorities. This thesis reveals the similarities and differences in motives, methods, and use of violence in Schiller, Kleist, and representations of the RAF and explores how the turn to terrorism can arise from a logical realization that ideologies of state law do not align with the personal sense of justice and law of the individual.
The ALICE Time Projection Chamber (TPC) is the main tracking detector of ALICE which was designed to perform well at multiplicities of up to 20000 charged primary and secondary tracks emerging from Pb-Pb collisions. Successful operation of such a large and complex detector requires an elaborate calibration and commissioning. The main goal for the calibration procedures is to provide the information needed for the offline software for the reconstruction of the particle tracks with sufficient precision so that the design performance can be achieved. For a precise reconstruction of particle tracks in the TPC, the calibration of the drift velocity, which in conjunction with the drift time provides the z position of the traversing particles, is essential. In this thesis, an online method for the calibration of the drift velocity is presented. It uses the TPC Laser System which generates 336 straight tracks within the active volume of the TPC. A subset of these tracks, showing sufficiently small distortions, is used in the analysis. The resulting time dependent drift velocity correction parameters are entered into a database and provide start values for the offline reconstruction chain of ALICE. Even though no particle tracking information is used, the online drift velocity calibration is in agreement with the full offline calibration including tracking on the level of about 2 x 10 exp (-4). In chapter 2, a short overview of the ALICE detector, as well as the data taking model of the ALICE, is given. In chapter 3, the TPC detector is described in detail. Lastly in chapter 4, the online drift velocity calibration method is presented, together with a detailed description of the TPC laser system.