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Hofker, Tjipke (author)
Superconductors expel magnetic fields, a phenomenon known as the Meissner effect. This effect makes it notoriously difficult to predict the magnetic field around a superconductor. One successful way of calculating these fields is through conformal mappings; coordinate transformations that preserve Maxwell's equations of magnetic fields in free...
bachelor thesis 2024
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Riemens, Noud (author)
Upper bounds for the kissing number can be written as a semidefinite program (SDP) through the Delsarte-Goethals-Seidel method for spherical codes. This thesis solves the resulting SDP with a cutting plane approach, in which a sequence of linear programs (LPs) is solved with the addition of linear constraints every round. We study the...
bachelor thesis 2023
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van der Kuil, Lars (author)
Algebras are vector spaces with a bilinear product. When we fix a finite dimension n and a finite field K with q elements, there are a finite number of non-isomorphic algebras. Seeing as vector spaces are completely determined by the dimension and scalar field, the number of non-isomorphic algebras is the number of ways we can define a bilinear...
bachelor thesis 2023
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Maassen van den Brink, Mitchell (author)
In this thesis, research was done in the area of interacting particle systems. Especially, the symmetric exclusion process with local perturbations was investigated. These perturbations, were in the form of sinks and sources, which add or take away particles at certain rates. Moreover, simulations were done for the asymmetric exclusion process....
bachelor thesis 2023
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Elgersma, Maaike (author)
master thesis 2022
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Koot, Kees (author)
In this thesis the behaviour of a Bose Einstein condensate is explored that consists of bosons that annihilate. In order to do this a system where bose einstein condensation occurs is modeled as a Zero Range process which is a special case of a Markov process.<br/>First we made a single slow site Zero range process with uniform rates and see how...
bachelor thesis 2022
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Mulder, Tim (author)
This thesis develops a method to map the surface of an exoplanet. The problem of exoplanet mapping sounds easy to solve. Take a few photographs of an exoplanet and sew them together to create a map of the surface. The telescope required to do this is far beyond our technological capabilities. However, our current telescopes could allow us to...
bachelor thesis 2022
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Wong, Jing Jing (author)
This research consists of two applications of image processing, namely, image compression and image denoising. Image compression aims to reduce the size of an image without losing too many features. This is often used to store a large number of images such as fingerprints. Denoising is a technique for removing noise from an image while...
bachelor thesis 2022
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Schokker, Odessa (author)
In this thesis Modified Newtonian Dynamics (MOND) is explored in galaxy clusters similar to the Virgo cluster. MOND is a theory proposed to explain the flat rotation curves of galaxies and the velocities of galaxies within galaxy clusters, as an alternative to the Dark Matter (DM) model. MOND states that Newton’s law of gravitation is incorrect...
bachelor thesis 2022
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Janisse, Frank (author)
Phylogenetic networks are used to describe evolutionary histories and are a generalisation of evolutionary trees. They can contain so called reticulations, representing reticulate evolution, such as hybridization, lateral gene transfer and recombination. Methods are being developed to construct certain rooted phylogenetic networks from their...
master thesis 2021
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Fredriksz, Emiel (author)
In 1961 Kasteleyn solved the dimer problem. With the use of Pfaffans he managed to find a formula to enumerate the number of perfect matchings on a lattice graph. In this thesis we take another look at the methods Kasteleyn used. Besides that, we proof that for an m × n lattice graph on the torus, where m and n are even, there does not exist a...
bachelor thesis 2021
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Meskers, Marthe (author)
In this thesis, we study the asymptotic behaviour and the dynamics of a one-dimensional active particle model with excluded volume interactions. The model is a version of run-and-tumble motion, where a particle performs both symmetric random walks and active transport. The direction and the speed of the transport are governed by an internal...
bachelor thesis 2021
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Heslenfeld, Janne (author)
Robust optimisation is shown to be extremely important in a wide range of applications including real life. Many research projects are dedicated to this relatively young and active research field and show the significant value of robust optimisation. Since many researchers have developed complex methods dedicated to robust optimisation, the aim...
bachelor thesis 2021
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Keer, Pim (author)
Level-set percolation on the Discrete Gaussian Free Field (DGFF) turned out to be a hot topic within mathematical physics over the last couple of years. In particular, the DGFF on Z^d , with homogeneously weighted nearest-neighbour interactions, i.e. all conductances equal to 1, has been studied in detail. These models can be simulated with...
bachelor thesis 2021
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Oudejans, Benjamin (author)
As quantum computers are developing, they are beginning to become useful for practical applications, for example in the field of quantum metrology. In this work, a variational quantum algorithm is used to find an optimal probe state for measuring parameters in a noisy environment. This is achieved by optimizing a cost on a quantum computer,...
bachelor thesis 2021
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Holtrop, Sven (author)
In this thesis, the diffusive limit of active particle motion in R<sup>d</sup> is studied via a technique based on homogenisation. Thereafter, this study is extended to active particle motion on a Riemannian manifold. <br/><br/>Furthermore, as an application of active particle motion, a connection is made with the Dirac equation. On the basis of...
bachelor thesis 2021
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de Vries, Olaf (author)
In this work, Clebsch-Gordan coefficients are studied from both a quantum mechanical and a mathematical perspective. In quantum mechanics, Clebsch-Gordan coefficients arise when two quantum systems with a certain angular momentum are combined and the total angular momentum is to be found. We start by discussing the relevant postulates of quantum...
bachelor thesis 2021
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van Zwienen, Heike (author)
context: The long-term evolution of a self-gravitating astrophysical disk can be modeled using secular perturbation theory. Recently, Batygin published a paper where he claims that such a disk with a special density can be described by a Schrödinger equation by using this method. aims: In this thesis, we will study the secular perturbation...
bachelor thesis 2020
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Koorevaar, Loek (author)
A model is designed for solving gravitational profiles of self-gravitating and rotating planets via the use of Poisson's equation for total gravity, i.e., the sum of the gravitational and rotational potential. Poisson's equation is a partial differential equation that is solved with the usage of Green's functions. This is a major advantage...
bachelor thesis 2020
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Ubbens, Otmar (author)
With the rapid development of Quantum Computers (QC) and QC Simulators, there will be an increased demand for functioning Quantum Algorithms in the near future. Some of the most ubiquitously useful algorithms are solvers for linear systems of equations. Since the conception of the Quantum Linear Solver Algorithm (QLSA) by Harrow, Hassidim and...
bachelor thesis 2019
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