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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
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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
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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
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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
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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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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Wanningen, Nicky (author)For scaling up the qubits in silicon quantum computers, it is vital to determine crosstalk effects that can lower the fidelity of the computer. <br/>In this computational project, we examine singlequbit gatefidelities in the presence of crosstalk for uncoupled spin qubits that are driven with Xgates via electron dipole spin resonance (EDSR)....bachelor thesis 2022
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Capel, Judith (author)Nowadays, we produce an enormous amount of data and all this data needs to be stored somewhere. In order to store all this data in an efficient and environmentally friendly way, solutions need to be found. A storage technique that has great potential to be a solution is synthetic DNA based storage.<br/>A DNAstrand is made up of a sequence of...bachelor thesis 2022