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Calegari, Rosa (author)This thesis aims to enhance the understanding of quasicrystal formation by integrating global geometry optimization and atomic simulations using the Oscillating Pair Potential (OPP). Quasicrystals, with nonperiodic longrange order and forbidden rotational symmetries, have captivated scientists since their discovery. This research combines the...bachelor thesis 2023
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Kauppinen, Charlotte (author)This Bachelor thesis provides an analysis of RungeKutta methods using Butcher tableaus. RungeKutta method are numerical methods used for approximating initial value problems. A RungeKutta method can be classified as either an explicit or an implicit method. A special kind of implicit methods are diagonally implicit methods. The type of method...bachelor thesis 2023
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Bom, Joep (author)In this thesis a novel model is proposed to solve the Robust Tail Assignment problem. The Robust Tail Assignment problem aims to assign aircraft to flights, while minimize expected costs of operating a flight schedule, including expected delay costs. This problem is difficult, because delays can propagate between successive flights in the...master thesis 2022
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Usman, Nerine (author)Thanks to increasing computational resources, the grid sizes of global climate and weather prediction models are decreasing to scales at which subgrid processes, especially the evolution of clouds, can become spatially too variable for traditional deterministic parameterization approaches. We propose a stochastic parameterization in which clouds...master thesis 2022
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Vermeulen, Joop (author)In this thesis, we will be studying Lie groups and their connection to certain orthogonal polynomials. We will look into the classical Krawtchouk, Meixner and Laguerre polynomials, and the multivariate Krawtchouk and Meixner polynomials as defined by Iliev. Using representations of the Lie groups SU(2) and SU(1,1), it will be shown that the...master thesis 2022
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Rozenbroek, Dani (author)De Wilson en Racahpolynomen zijn hypergeometrische orthogonale polynomen die helemaal bovenaan staan in het Askeyschema. Deze polynomen zijn de meest algemene hypergeometrische orthogonale polynomen in één variabele en generaliseren de andere hypergeometrische orthogonale polynomen in het Askeyschema.<br/><br/>In deze scriptie wordt ingegaan...bachelor thesis 2022
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Keim, Josephine (author)Interest rate products form a large segment of overthecounter derivatives. When the interest rate became negative, for the first time, in July 2009, interest rate models needed to adjust. Where first a lognormal model, as the Brace Gatarek Musiela (BGM) model, might have seemed logical for interestrate products, as they were<br/>bounded by...master thesis 2021
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Bockstael, Vincent (author)In this study, we investigate the usage of generative adversarial networks for modelling a collection of sounds. The proposed method incites an interpretation of musical sound synthesis based on audio collections rather than synthesizer component controls. This promises the generation of arbitrarily complex sounds without the restrictions of...bachelor thesis 2021
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Dijkstra, Jelle (author)This paper introduces the notion of infinite games, i.e., games in which two players take turns playing moves ad infinitum, so that player I wins if the sequence of moves is in a predetermined payoff set. Theorems are then provided about whether a player in such games can have a winning strategy. The first theorem, GaleStewart, shows that games...bachelor thesis 2021
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Brouwers, David (author)In this bachelor thesis we use a stochastic model to aspire to explain biodiversity patterns in different ecosystems with selection advantage. The stochastic model we use is an extension of the meanfield voter model where we include a selection factor. In the model individuals with two different types of alleles in two different ecosystems are...bachelor thesis 2021
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Hoogenberg, Ruben (author)In this thesis we have looked into the complexity of neural networks. Especially convolutional neural networks (CNNs), which are useful for image recognition, are looked into. In order to better understand the process in the neural networks, in the first half of this report a mathematical foundation for neural networks and CNNs is constructed....bachelor thesis 2021
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Babel, Angelica (author)We live in a fastchanging world, where higher engineering education focusses on creating engineers that will deal with upcoming technological innovations. It is important to think ahead and educate engineers that could work on these problems and develop technological solutions for them, and are adaptable to deal with the changes in the world....master thesis 2021
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Jonkman, Niels (author)We study the impact of wrongway risk (WWR) on the credit valuation adjustment (CVA) of a portfolio of interest rate swaps (IRSs), using an intensitybased reduced form model. To model WWR in IRSs we create a dependence between he underlying market risk factor of the IRS and the survival probability of the <br/>counterparty. The focus lies on...master thesis 2021
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Négyesi, Bálint (author)Backward stochastic differential equations (BSDE) are known to be a powerful tool in mathematical modeling due to their inherent connection with secondorder parabolic partial differential equations (PDE) established by the nonlinear FeynmanKac relations. The fundamental power of BSDEs lies in the fact that with them one does not merely obtain...master thesis 2020
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Van Mieghem, L.C.F. (author)In this thesis we classify samples of music according to the genre that the music belongs to using neural networks. We divide this task into four parts. In the first part, we prepare the audio files to be used as input to a neural network. Specifically, we examine ways to create spectrograms. We then optimise the spectrograms by reducing and...bachelor thesis 2020
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Borst, Matthijs (author)In [8] Kwapien proved that every mean zero function f ∈ L∞[0, 1] we can<br/> write as f = g ◦ T − g for some g ∈ L∞[0, 1] and some measure preserving<br/> transformation T of [0, 1]. However, as was discovered in [4] there is a gap<br/> in the proof for the case that f is not continuous. The aim of this bachelor<br/> thesis...bachelor thesis 2019
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