Quantum key growing, referred to as quantum cryptography or quantum key distribution, is a technique using some attributes of quantum mechanics to create a secret shared cryptography key even if an eavesdropper has access to unlimited computational power. An important but often
In the theory of Artin presentations, a smooth four manifold is already determined by an Artin presentation of the fundamental group of its boundary. Thus, one of the central problems in four dimensional smooth topology, namely the study of smooth structures on these manifolds and their Donaldson and Seiberg-Witten invariants
The well-known Dijkstra’s algorithm uses weights to determine the shortest path. The focus here is instead on the opposite problem, does there exist weights for a certain set of shortest paths? OSPF (Open Shortest Path First) is one of several possible protocols that determines how routers will send data in a network like the internet.
Since the introduction of support vector machines (SVMs), much work has been done to make these machines more efficient in classification. In our work, we incorporated the preconditioned conjugate gradient method (PCG) with an adaptive constraint reduction method developed in 2007 to improve the efficiency of training the SVM when using an Interior-Point Method.
Model theory and combinatorial pregeometries are tightly connected through the so called algebraic closure operator on strongly minimal sets. The research of projective and ane pregeometries are specifically fascinating since they have a close relation to vector spaces. In this dissertation we
The service central warehouse at Vanderlande holds a number of spare parts on stock to fill customer orders for spare parts. In this research the supply chain of spare parts at Vanderlande is analyzed and subsequently an inventory model for the service central warehouse is developed that optimizes the percentage of customer orders that is completely filled within a given timeframe
In computational science it is common to describe dynamic systems by mathematical models in forms of differential or integral equations. These models may contain parameters that have to be computed for the model to be complete. For the special type of ordinary differential equations studied in this thesis, the resulting parameter estimation problem is a separable nonlinear least squares problem with equality constraints.
This report concentrates on two categories of quintics that create diverse problems for dealing with them. The 1st family is a popular group of quintics which are known as Emma Lehmer’s Quintics. These quintics are recognized to contain the cyclic group of
This thesis consists of three papers, all of them on the topic of function spaces on fractals. The first paper deals with piecewise continuous wavelets of higher order in Besov spaces defined on fractals. In the second paper we compare differently defined function
The Expectation-Maximization (EM) algorithm is a popular and convenient tool for the estimation of Gaussian mixture models and its natural extension, model-based clustering. However, while the algorithm is convenient to implement and numerically very stable, it only produces solutions that are locally