Effectieve doceerstrategieën: het verschuiven van een productgerichte focus naar procesgerichte focus middels formatief handelen

Dit onderzoek beoogt de veelal overheersende productgerichte focus van leerlingen in het wiskundeonderwijs te verschuiven naar een procesgerichte focus. Hiertoe is een Hypothetical Teaching and Learning Trajectory (HTLT) ontworpen waarin volgens een iteratief proces onderzocht is hoe docenten leerlingen kunnen helpen om uitwerkingen te noteren...

Transforming guitars to a violin using Fourier analysis

Making phylogenetic networks orchard: Algorithms to determine if a phylogenetic network is orchard and to transform non-orchard to orchard networks

Phylogenetic networks are used to represent evolutionary histories of a set of taxa. In this thesis, we look at a certain network class, called orchard networks. <br/>In the beginning of this thesis, definitions concerning phylogenetic networks and specifically orchard networks are introduced. The characterization of orchard networks involves...

Throughput and Stabilisability Analysis of Mode-Constrained Stochastic Switching Max-Plus Linear Systems

Switching max-plus linear (SMPL) systems written in max-plus algebra form a robust framework to model discrete-event systems governed by synchronisation whose behaviour may switch over time. Their evolution is described by a max-plus linear state-space representation that may change by switching modes. In their typical form, switching may depend...

Maximum Coverage Problems: Theory and Application in Optimal Sensor Selection

In this thesis we analyse the class of <i>maximum coverage</i> problems. For all discussed problems, linear programs are formulated. Using the notion of <i>submodularity</i>, we prove that for the weighted version of the basic <i>Maximum Coverage</i> problem, where the weights differ per set, a polynomial-time greedy algorithm guarantees a (1 -...

A solver for clustered low-rank SDPs arising from multivariate polynomial (matrix) programs

In this thesis, we give a primal-dual interior point method specialized to clustered low-rank semidefinite programs. We introduce multivariate polynomial matrix programs, and we reduce these to clustered low-rank semidefinite programs. This extends the work of Simmons-Duffin [J. High Energ. Phys. 1506, no. 174 (2015)] from...

Max-plus linear parameter varying systems

In this research, we introduce and discuss an extension of max-plus linear systems, called max-plus linear parameter varying systems. In this extension, uncertainty is modelled as a varying parameter, making it possible to leverage non-linearities and non-max-plus terms within the model. Issues arise when the varying parameter is dependent on...

Customer segmentation using RFM analysis

This paper is a research on the segmentation of customers. The clustering of customers is done based on the variables recency, frequency and monetary value. Such a clustering is called an RFM-model. The clustering is done using the K-means clustering method. To find the optimal number of clusters the following performance metrics are used: Elbow...

Adjoint-Based Optimization through Reduced-Order Subdomain Surrogate Modelling: An Application in Reservoir Simulation

Although a transition to more sustainable energy production is necessary, fossil fuels will remain a crucial contributor to the world's energy production in the near future. In numerically maximizing the production of these fuels, as well as in many other optimization problems, an objective function has to be optimized on the basis of an input...

Matrix spans in max-plus algebra and a graph-theoretic approach to switching max-plus linear systems

The relation between graph theory and max-plus algebra has been well studied since the inception of max-plus algebra. It has been shown that any square matrix over the maxplus semiring can be represented as a weighted directed graph. Furthermore, properties of these matrices, such as irreducibility and its (unique) eigenvalue, can be determined...