 document

van Kempen, Matt (author)In this paper we started by explaining what a Markov chain is. After this we defined some key concepts such as stationarity, reversibility and ergodicity which were used throughout the rest of the paper. Next, the classical central limit theorem was stated in order to refresh the reader of this theorem and to show that, because of the dependence...bachelor thesis 2022
 document

Gort, Timo (author)<i>Context.</i> In the nearfuture, exoplanets can be observed directly through telescopes. Although the resolution of the planet's image will only be one pixel at first, the intensity of this pixel will change over time because of the orbit around its host star and its diurnal rotation. This intensity as a function of time is called the light...bachelor thesis 2022
 document

Ronner, Arthur (author)In this report, a model is presented to alleviate some of the computational work that goes into the effort of finding the magnetic properties of magnetocaloric materials. The model utilizes an interior point optimization routine to solve for the minimal exchange energy configuration of a system, given the exchange interactions of the material....bachelor thesis 2022
 document

Ates, Matthijs (author)The aim of this thesis is to simulate quantum spin chains at a finite temperature. This has been achieved by using purification to write the incoherent thermal states of the spin chain as pure states, after which the matrix product state (MPS) formalism to simulate the spin chain. The influence of temperature on the spin chain has been tested by...bachelor thesis 2022
 document

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
 document

Polshchykova, Zoya (author)In this thesis, gate set tomography (GST) has been conducted on the nitrogen vacancy center (NV). Gate set tomography is a protocol for characterization of logic operations (gates) on quantum computing processors. The NV’s electron served as a qubit. The quantum circuits were run both experimentally as well as on an NVsimulator. GST is...bachelor thesis 2022
 document

Aliberti, Dylan (author)The aim of this thesis was to test the efficiency in practice of an analytical propagator with collision detection for <i>N</i>body Keplerian systems. This can be used to simulate the evolution of a protoplanetary disk, which gives insight into how planetary systems form. The analytic propagator calculates collisions one by one, while a...bachelor thesis 2022
 document

Gajadhar, Vivek (author)Dose calculations in proton therapy need to be computed as fast as possible for successful cancer treatment planning and execution. The dose calculation algorithms that provide enough accuracy for treatment planning, takes too much time to utilise; therefore there is a need for faster alternatives. One of the alternatives is using a...bachelor thesis 2022
 document

Krouwels, Berend (author)Dit onderzoek gaat over de mogelijkheden en onmogelijkheden met betrekking tot constructies met passer en ongemarkeerde liniaal. Hier werken we met de euclidische meetkunde en zullen we dus ook beginnen met de vijf postulaten van Euclides en een aantal toepassingen ervan. Er zal besproken worden wat het betekent voor een punt of constructie om...bachelor thesis 2022
 document

Popa, Vlad (author)In an attempt to find alternatives for solving partial differential equations (PDEs)<br/>with traditional numerical methods, a new field has emerged which incorporates<br/>the residual of a PDE into the loss function of an Artificial Neural Network. This<br/>method is called PhysicsInformed Neural Network (PINN). In this thesis, we study dense...bachelor thesis 2022
 document

Neves Almeida Lopes, Tamira (author)When looking up to the sky and trying to detect the photons of far away stars that are still in formation, we can get access to knowledge we never had before. In order to do this, we must make sure we truly understand the nature of how photons behave in accordance to each other and to our detectors.In quantum optics we can see that these photons...bachelor thesis 2022
 document

de Heus, Yfke (author)The COVID19 pandemic has infected millions of people worldwide and many countries have suffered one of the worst recessions in history. While there are numerous studies of mathematical models trying to predict and understand the evolution of the pandemic, research into the effects of the coronavirus on the economy remained in the background....bachelor thesis 2022
 document

Kirchner, Joris (author)Neural network is an active research field which involves many different (unsolved) issues, for example, different types of configuration of the network architectures, training strategies, etc. Amongst these active issues, the choice of loss (or cost) functions plays an important role in how a neural network model is to be optimized (trained)...bachelor thesis 2022
 document

Abutan, Lisanne (author)Interference of light can be used to determine the concentration of a gas, called gas sensing. The absorption of the light by the gas molecules is measured based on the phase change of the light. In this report, a hollow core photonic crystal fiber is treated. The gas sample is inserted into the hollow core. Photonic crystal fibers possess the...bachelor thesis 2022
 document

Arens, Patricia (author)In the last decades there has been an increasing interest in computing the local strain at the atomic scale of materials. By knowing aspects of the local strain in a lattice, one has information about measurements of distortions of lattice parameters concerning shifts, deformations and defects computed with respect to a smooth, defectfree...bachelor thesis 2022
 document

Claes, Joep (author)Random walks have been applied in a many different fields for a long time. More recently, classical random walks are being used in wide variety of computer algorithms used to solve complex computational problems like 2SAT, 3SAT and the estimation of the volume of complex bodies. In this thesis we look into the quantum version of the familiar...bachelor thesis 2022
 document

de Groot, Dayo (author)In deze scriptie gaan we twee wiskundige objecten onderzoeken, het ultrafilter en de ultramacht. Zodra je in de wiskunde een nieuw object hebt bedacht zijn de eerste twee vragen die je stelt altijd 1) bestaat het? en 2) Als het bestaat, is het dan uniek, of zijn er meerdere? Nou is dat voor een ultrafilter relatief makkelijk te beantwoorden. In...bachelor thesis 2022
 document

van Vroonhoven, Thomas (author)This project models collective cell migration and differentiation as part of a wound healing process. The hybrid mathematical model used in this project consists of an agentbased model for the cells combined with a system of coupled partial differential equations for two forms of the growth factor molecule TGFbeta. The model is implemented in...bachelor thesis 2022
 document

van Prooijen, Birgit (author)While the Minimum Euclidean Distance detection is known to be optimal for channels affected by Gaussian noise, it has been shown that Minimum Pearson Distance detection (MPD) may perform better when the channel is also affected by an unknown offset, though for a good performance some adaptations for classical binary block codes are necessary. It...bachelor thesis 2022
 document

Sikkens, Duuk (author)Deze scriptie gaat over βN. Wat specifieker: ze gaat over onvergelijkbare elementen in de RudinKeislerorde op βN. βN is een topologische ruimte, het is de ČechStonecompactificatie van de natuurlijke getallen. Er kan over βN echter ook op een meer verzamelingtheoretische manier worden nagedacht, namelijk als de familie van alle ultrafilters op...bachelor thesis 2022