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Schuttenbeld, Maarten (author)This thesis developed a computer powered simulation study of the divisible sandpile model. It introduces a constant to a widely used formula to generate sandpiles. This constant can be used to study the convergence characteristics of sandpiles. In this thesis it is shown that the introduced factor increases the speed of convergence while it no...bachelor thesis 2021
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Roodenburg, Wessel (author)Transport by rail has taken Europe by storm ever since their introduction in the 19th century. Developments in the past 150 years have led to the construction, deconstruction and reconstruction of various rail connections. In the Netherlands, a small number of lines in its more rural parts no longer have any standard passenger services and are...bachelor thesis 2021
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Hendriks, Leo (author)This essay shows a two dimensional implementation of the finite element method for the Westervelt equation. To do this the finite element method is first applied to the linear wave equation, then to nonlinear diffusion and finally to the Westervelt equation. Both an element by element and a faster vectorized implementation are given for the...bachelor thesis 2021
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Stuger, Samuel (author)In this thesis, we provide a method for reconstructing a planet's surface map from its reflected light curve. We are going to derive an equation for the reflective lightcurve under the assumption that the surface map is characterized by four different surface types (ocean, vegetation, sand and snow), is stationary (no clouds), and that all...bachelor thesis 2021
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van Tol, Berend (author)In this thesis we study criticality in the context of the dissipative Abelian sandpile model. The model is linked to a simple trapped random walk, giving a practical method to determine criticality for certain landscapes of dissipative sites. The main results concern the lifetime of the random walk, especially the divergence of its first moment...bachelor thesis 2021
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van Gulik, Quirijn (author)Representation theory is a branch in mathematics that studies group homomorphisms between a group and the automorphism group of a vector space. A special representation that every group has is the regular representation. This representation permutes all elements of the group in a vector space which dimension is equal to the order of the group....bachelor thesis 2021
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de Munnik, Hans (author)Heat transfer by radiation is something you experience everyday: when walking outside in the sun or when cooking your diner. This thesis provides understandable models of the role that radiation plays in the transfer of heat. By studying literature we developed a mathematical basis for the heat transfer model, where we discuss diffusive,...bachelor thesis 2021
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van de Lest, Pim (author)In this thesis, a simulated annealing algorithm is implemented to optimize the efficiency of a tandem solar cell. The efficiency of a tandem solar cell is approximated by the current of the tandem solar cell. This current is determined by the simulation program GenPro4. Firstly, the general concepts of simulated annealing is described. After...bachelor 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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Klein, Femke (author)Celmigratie wordt voornamelijk door twee eiwitten veroorzaakt, namelijk Rac en Rho van de RhoGTPases familie. Deze eiwitten kunnen zowel in actieve als inactieve vorm voorkomen [2], [6], [7]. De actieve vorm is gebonden aan het celmembraan en de inactieve vorm zit los in de cel [7]. De eiwitten kunnen zich verplaatsen in de cel. Doordat de...bachelor thesis 2021
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Bonnet, Damiaan (author)The goal of this thesis is to implement and experiment with a Bayesian way of estimating a (smooth) monotone regression function by applying it to climate data. The method we use is proposed by Neelon and Dunson. This method uses a piecewise linear model for the unknown regression function and enforces the monotonicity constraint by the...bachelor thesis 2021
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van Mil, Juliette (author)This report reviews two quantum key distribution (QKD) protocols: the BB84 protocol and the measurement device independent (MDI) QKD protocol. The goal of this report is to recreate the security proof of the BB84 protocol, to generate the secret key rate for a practical application of the BB84 protocol, both with and without decoy states, and to...bachelor thesis 2021
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 den Bakker, Yvonne (author) 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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Vural, Asya (author)The porous medium equation $\dv{t}u=\dv{x}(k(u)\dv{x}u)$ is a nonlinear degenerate parabolic partial differential equation. Consequently, existence and uniqueness of its solutions is not immediately evident.<br/>This bachelor thesis presents a detailed discussion of Atkinson's and Peletier's 1971 article ``Similarity profiles of flows through...bachelor thesis 2021
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de Bos, Hidde (author)Quantum Markov Semigroups (QMS) describe the evolution of a quantum system by evolving a projection or density operator in time. QMS are generated by a generator obeying the wellknown Lindblad equation. However, this is a difficult equation. Therefore, the result that the Lindblad form greatly simplifies in the case of the...bachelor thesis 2021
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van der Vlugt, Boaz (author)The field of robust optimization deals with problems where uncertainty influences the optimal decision. Some of these problems can be formulated in a ‘twostage’ formulation, such as the location transportation problem. To solve such a problem, a columnandconstraintgeneration algorithm has been introduced in which constraints are iteratively...bachelor thesis 2021
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de Jong, Sam (author)The Ekman spiral is described by a coupled system of differential equations originally discussed by Walfrid Ekman (Ekman, 1905). This system is a simplified version of the NavierStokes equations. The differential equations, as discussed in Ekman’s paper, concern the currents of the ocean. However, it is also possible to interpret these...bachelor thesis 2021
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Şavli, Yasemin (author)The graph Laplacian is a tool which is commonly used in different applications, amongst which spectral clustering. This report contains a research in different def initions for the graph Laplacian applied on directed graphs, since it is rarely used in applications neither occurs often in literature. Two definitions are discussed into more...bachelor thesis 2021
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Klein, Isabel (author)The COVID19 crisis heavily affected financial stock markets. In March 2020 stock prices dropped immensely and markets became extremely volatile. In this report we model three European stock markets before and during the COVID19 crisis to determine whether the dynamics of financial markets changed structurally compared to previous periods....bachelor thesis 2021