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Endtz, Folkert (author)
This thesis explores the application of Benford's Law to wavelet coefficients derived from the Discrete Wavelet Transform (DWT) of images, aiming to provide a novel method for image differentiation. The study focuses on the DWT, specifically utilizing Haar and Daubechies wavelets, to decompose an image into approximation and detail coefficients....
bachelor thesis 2023
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van Gruijthuijsen, Merel (author)
Phylogenetic trees are commonly utilised in evolutionary biology. These trees represent the evolution of a set of species. In case of gene transfer however, a phylogenetic tree is insufficient. In such cases, tree-based phylogenetic networks are more suitable as they can depict reticulate evolution.<br/>Nonetheless, tree-based phylogenetic...
bachelor thesis 2023
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Kielhöfer, Marius (author)
The ability to accurately forecast sales volumes holds substantial significance for businesses. Current classical models struggle in capturing the impact of different variables upon the sales volume. These machine learning models are also not applicable to more than one specific product. The Temporal Fusion Transformer (TFT) is implemented to...
bachelor thesis 2023
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Kauppinen, Charlotte (author)
This Bachelor thesis provides an analysis of Runge-Kutta methods using Butcher tableaus. Runge-Kutta method are numerical methods used for approximating initial value problems. A Runge-Kutta 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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Goudriaan, Sven (author)
Proton irradiation therapy is a powerful form of cancer treatment, promising better dose conformity as compared to conventional radiotherapy. Due to the complex scattering properties of protons, the optimization process that is needed to accurately target the cancer cells whilst causing minimal damage to<br/>the surrounding healthy tissue and...
bachelor thesis 2023
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Sleijfer, Josh (author)
Humans are efficient at moving due to their exceptional mastery of bipedal locomotion. Several models have been made that attempt to model the motion of the centre of mass with a spring-mass system with various degree of success. For example, a two dimensional model tracks the height of the centre of mass well and a three dimensional model...
bachelor thesis 2023
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Liu, Jin Jun (author)
Sophus Lie (1842-1899) known as the founder of the theory of transformation groups, originally aimed to study solutions of differential equations via their symmetries. Over the decades this theory has evolved into the theory of Lie groups. These Lie groups are of an analytic and geometric nature, but Sophus Lie's principal discovery was that...
bachelor thesis 2023
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van der Poel, Hugo (author)
During this bachelorproject, more research is done to investigate the properties of the Hanea’s and Nane’s calibration score and to look at slight adjustment of Hanea’s and Nane’s calibration score. Both simulated data and real data will be used to investigate the behaviour of these calibration scores.
bachelor thesis 2023
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Houben, Jort (author)
A common problem in wireless communication is the existence of multipath propagation. This means that a transmitted signal is received multiple times because of reflections caused by the environment. We present two ways of modeling multipath propagation of an acoustic underwater signal. We discretise these models to solve them numerically....
bachelor thesis 2023
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Westerweel, Lucy (author)
This thesis aims at introducing the reader to the mathematical concepts behind the imaging technique X-ray tomography, commonly known as a CT scan. It includes the derivation of the filtered and unfiltered backprojection reconstruction methods for noise-free data. It was concluded that for noisy data, X-ray tomography is an ill-posed, and...
bachelor thesis 2023
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Appelman, Tycho (author), Bruinsma, Carli (author), Ouaissa, Anass (author)
Lunar dust presents a serious problem for future lunar rovers. Due to the charged nature of this fine dust, it tends to stick to sensitive elements like solar panels. It is clear that a system needs to be implemented in order to remove lunar dust to keep the output power of the solar panel at a satisfactory level. This paper develops the proof...
bachelor thesis 2023
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Snellink, Kamil (author)
The following report investigates the land ice height decrease of the Fleming Glacier between 2019 and 2022 using ICESat-2 satellite data. This glacier is located on the Antarctic Peninsula, an area that has been severely impacted by global warming. Using data from the Advanced Topographic Laser Altimeter System (ATLAS) on board ICESat-2, more...
bachelor thesis 2023
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Husain Cornelissen, Adnan (author)
Automated Market Makers (AMMs) are a novel type of market makers that eliminate the need for a coun-terparty in a trade. This thesis analyses the properties of several types of AMMs, and in particular the con-centrated liquidity market maker. An axiomatic definition of AMMs is provided, and two types of constant function market makers (CFMMs),...
bachelor thesis 2023
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Verton, Max (author)
We analyze the spatially discretized version of the Allen-Cahn partial differential equation. The second order derivative is numerically approximated by a weighted infinite sum. The coefficients of this sum as well as the function f in the differential equation have got freedom inside determined restrictions. For this spatially discretized...
bachelor thesis 2023
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Van der Meer, Jochem (author)
Combustion is and remains for the foreseeable future an essential chemical process. The physical and mathematical modelling of such processes can help to optimise the design and operation of combustion furnaces which is critical for fuel efficiency. Given the combined complexity and interaction of the gas flow dynamics and the reaction processes...
bachelor thesis 2023
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Krylov, Ivan (author)
In this thesis we study for which domain types the Poincare inequality holds for all functions having continuous first derivative. We first consider the classical Poincare inequality, which we prove holds for a very large class of open sets in R<sup>d</sup>. We then constructively prove that bounded, open, and connected domains in R<sup>d</sup>,...
bachelor thesis 2023
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Marsman, Rienk (author), Wams, Tjeerd (author), van der Toorn, Kevin (author)
Determining ground level elevation is essential in assessing flood risk. This report presents a com-prehensive framework using state-of-the-art object detection model YOLOv8 trained on a relatively small dataset containing houses, doors and steps. The object detection model is followed up by a post-processing block designed specifically for...
bachelor thesis 2023
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de Heer, Owen (author)
Matrix multiplication with the standard algorithm has an algebraic complexity of O(n^3) for n x n matrices, but in 1969 Strassen found another algorithm for multiplying 2 x 2 matrices with which he showed that matrix multiplication can be done with a complexity of O(n^2.81) by applying his algorithm recursively for large...
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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van Eeuwijk, Lars (author)
In phylogenetics, it is important to figure out what method to obtain a phylogenetic tree, a tree showing how species evolve from one another, is more reliable. A phylogenetic tree is a mathematical tree, where every internal vertex has at least 2 children, and the leaves are labeled bijectively with a set $X$. One useful tool to help determine...
bachelor thesis 2023
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