Department of Mathematical Sciences / Institutionen för matematiska vetenskaper
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Vad är större: En Quarter Pounder eller en Third-Pound hamburgare?
(2022-11-17)Fractions, and calculations involving them, appear to be a difficult topic for students to grasp. Therefore, the purpose of this study is to investigate what secondary school teachers can do to improve their teaching ... -
Decision Policies for Early Stage Clinical Trials with Multiple Endpoints
(2022-11-11)Before a drug can be prescribed to patients, it must be shown to be safe and effective for a certain indication in a controlled clinical trial (known as Phase III). Such studies are costly to run and expose patients to ... -
Modelling the effect of multimodal pain rehabilitation
(2022-09-21)Chronic pain is a cause of suffering in a large share of the population and a leading public health problem. Multimodal pain rehabilitation (MMR) is a multidisciplinary rehabilitation method commonly used to treat chronic ... -
Knutteori
(2022-07-08)Detta arbete syftar till att ge läsaren en pedagogisk introduktion till knutteori och Taits förmodanden. Vi inleder med att ge en rigorös grund till knutar och ekvivalens mellan knutar, och går sedan vidare till att ... -
Geometrisk numerisk integrering av differentialekvationer
(2022-07-08)Rapporten studerar fr¨amst Eulers symplektiska och St¨ormer-Verlets metoder applicerade p˚a hamiltonska problem. Metoderna appliceras numeriskt p˚a tre olika hamiltonska problem och j¨amf¨ors med andra numeriska metoder ... -
Variationell Regularisering av Inversproblem med Till¨ampning inom Skiktr¨ontgen
(2022-07-05)The aim of this study was to solve ill-posed inverse problems when reconstructing data by using variational regularization theory. This problem was solved using MATLAB. Data was simulated from MATLAB’s 256×256 Shepp-Logan ... -
Konsumentprisindex för ett stratum
(2022-07-05)This paper uses a survey to estimate the proportion a unionized painter spends on different product cathegories. The result is used together with data from SCB (Statistics Sweden) to estimate a consumer price index for ... -
Optimaltransport för styrning av en svärm av agenter
(2022-07-05)The purpose of this report is to derive and implement a solver for a multimarginal optimal transport problem. This type of multimarginal optimal transport problem can be used to model and calculate how a swarm of agents ... -
Losing the sensation of touch Mathematical modeling of diabetic neuropathy using spatial point processes
(2022-07-05)Diabetes has led to an epidemic of complications associated with this disease. Diabetic neuropathy, which causes pain and loss of sensation due to degeneration of nerve fibers, is one of the most common complications of ... -
Kan en hopprocess förklara hur man tittar på tavlor?
(2022-07-05)Ögonrörelser växlar mellan fixeringar och hopp och ögonrörelser kan användas inom många olika tillämpningsområden. Arbetets syfte är att utveckla en modell, baserad på en hopprocess, som förklarar hur man tittar på en ... -
The Banach-Tarski paradox
(2022-07-04)In this thesis we present a proof of the Banach-Tarski paradox, a counterintuitive result that states that any ball in R3 can be cut into finitely many pieces and then be reassembled into two copies of the original ball. ... -
Investigation of portfolio strategies by means of simulation
(2022-07-01)Portfolio insurance strategies are constructed to limit an investors loss but still reward them when the market goes up. In this thesis we compare two portfolio insurance strategies, Constant proportion portfolio insurance ... -
Cluster KL-UCB: Optimism for the Best, Pessimism for the Rest
(2022-06-28)The project presents an allocation strategy for the stochastic multi armed bandit when considering instances with a clustered structure. Using the architecture of the KL-UCB policy as a source of inspiration, an algorithm ... -
Artificial Intelligence for Option Pricing
(2022-06-19)This thesis addresses the issue of vulnerable underlying assumptions used in option pricing methodology. More precisely; underlying assumptions made on the financial assets and markets make option pricing theory vulnerable ... -
Machine Learning for NCC's Concrete Pile Production
(2021-09-17)In this thesis, the usefulness of machine learning (ML) is evaluated for the processes of NCC's subsidiary company Hercules. It is evaluated with regard to ML's ability to assist reduction of CO2 footprint and costs. The ... -
Knowing a Thousand Formulas Is Not The Same as Knowing Mathematics
(2021-09-07)This research is about how students at different levels of mathematical studies view, understand and study mathematics. The research is based on two theories on mathematical understanding, James Hiebert and Patricia ... -
An argument principle for generalised point residues
(2021-08-24)We define a point residue for any Artinian O-modules via Hermitian free resolutions, generalising the one dimensional residue and the classical multivariate Grothendieck point residue. We consider various definitions of ... -
Potentialspel och iterativt spelande
(2021-07-01)Vi sammanfattar delar av teorin kring potentialspel och visar dess koppling till trängselspel, samt illustrerar dess relevans med exempel. Dessutom introducerar vi iterativt spelande som metod för att hitta rena Nashjämvikter ... -
Matematiska såll och deras tillämpningar
(2021-07-01)Syftet med denna rapport är att ge läsaren en inblick i det matematiska delområdet sållteori genom att redogöra för dess grundläggande idéer och tillämpningar, samt att presentera en datorimplementation av Eratosthenes ... -
Numeriska simuleringar av stokastiska differentialekvationer
(2021-07-01)I detta projekt presenteras grundläggande teori inom studien av stokastiska differential ekvationer (SDE:er) samt ett urval av viktiga metoder för numerisk approximation av lösningar. Detta görs på ett praktiskt vis genom ...
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