Browsing by Subject "Wiskunde"
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16eeeuwse numerieke oplossingsmethodes voor polynomen
(2020)Deze bachelorscriptie zal zich bezighouden met hoofdstuk 14 uit Vanden Cirkel. Het meest interessante van hoofdstuk 14 is dat Ludolph niet vermeldt hoe hij de oplossingen van de polynomen met zulke hoge precisie berekent. ... 
1:3 resonant double Hopf bifurcation
(2020)This thesis was an attempt to study the behavior of the 1:3 resonant double Hopf bifurcation around the pure modes. This bifurcation is studied with a general 4D normal form, describing the evolution of two amplitudes and ... 
A C++ Object Oriented library for the BSP model: reducing the cost of communication and synchronization
(2016)At the beginning of the work for this thesis, the aim is to devise a comparable baseline for the benchmarking of MulticoreBSP and ZefirosBSPLib for computations, and to reduce the communication cost parameter g and the ... 
A Centrality Measure of European Air Traffic
(2019)A centrality measure is a real valued function that aims to identify the importance of nodes in a graph. The Markov chain and spacey random walk are both discrete stochastic processes that can be used to defi?ne a centrality ... 
A Characterization of Flat PseudoRiemannian Manifolds
(2019)This thesis is concerned with the curvature of pseudoRiemannian manifolds. A pseudoRiemannian manifold is called flat when it can be covered by charts that intertwine the pseudometrics of the manifold and psuedoEuclidian ... 
A cryptosystem based on algebraic surfaces
(2021)This thesis discusses a cryptosystem based on algebraic surfaces, which was devised by Akiyama and Goto. At first the basics of cryptography, the P vs. NP problem and algebraic surfaces are discussed. Then the workings of ... 
Algorithms for Testing Primality
(2021)Large prime numbers are very important in modernday information security. To find such large prime numbers, algorithms which can efficiently determine primality for large numbers are needed. Beginning with one of the ... 
An Algebraic Interpetation of the Polynomials Szemerédi Theorem
(2020)Finding an explicit lower bound in the polynomial Szemerédi Theorem using algebraic number theory. 
An introduction into Lie Group, Lie Algebra, Representations and Spin
(2021)In this thesis we will go through what a Lie group and a Lie algebra is. How they are linked to one another and we will have a look at their representations. The main focus will be towards matrix Lie groups and their ... 
An Introduction to Lie Groups, Lie Algebras and their Representation Theory
(2017)In this thesis, we give an extensive introduction to Lie groups and Lie algebras. We conclude the thesis by providing the basic concept of the ﬁnite representation theory of a semisimple lie Algebra. The reader is expected ... 
An Introduction to Nonstandard Analysis
(2020)Motivated by the historic concept of infinitesimals we treat the subject of nonstandard analysis. The present text is an introduction on the subject and takes a constructive approach. First we construct a nonstandard version ... 
An overview of different kernelization algorithms for the cluster editing problem
(2016)In the cluster editing problem, we try to transform a given graph G into a disjoint union of cliques using less than k edge modifications. In this paper we will focus on the kernelization of the input (G; k). Kernelization ... 
Applications of sheaves to intuitionistic logic
(2016)In this thesis, the structure of the real numbers is studied in various toposes of sheaves over topological spaces. The first part of the thesis is a general treatment of intuitionistic logic. In the second part, some ...