Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Title
Now showing items 291-310 of 531
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Local and Global Analysis of Relaxed Douglas-Rachford for Nonconvex Feasibility Problems
(2019-07-01)This thesis investigates the local and global convergence analysis of the relaxed Douglas-Rachford method. This algorithm, which was first proposed over a decade ago, has become a standard procedure in applications. ... -
Local invariants of four-dimensional Riemannian manifolds and their application to the Ricci flow
(2017-12-15)In this thesis, we study the four-dimensional Ricci flow with the help of local invariants.If $(M^4, g(t))$ is a solution to the Ricci flow and $x \in M$, we can associate to the point $x$ a one-parameter family of curves, ... -
Locating median lines and hyperplanes with a restriction on the slope
(2012-10-02)In this thesis, we consider the location of median lines when there is a restriction on the slope of the line to locate as well as the more general location of median hyperplanes when there is a restriction on the slope ... -
Lokale Algebren und Operatorprodukte am Punkt
(2000-12-19)Quantum fields are known to be singular objects; in particular, their products at coinciding space-time points are ill-defined and lead to divergences. We present a model-independent and mathematically consistent method ... -
Die lokale Struktur von T-Dualitätstripeln
(2007-12-06)There are different approaches for a mathematical understanding of T-duality. We show that the C*-algebraic approach of Mathai and Rosenberg is equivalent to the topological approach of ... -
Long-Term Location-Independent Research Data Dissemination Using Persistent Identifiers
(2017-03-24)Research data occurs in all scientific experiments, computer simulations, observations or as a derivation from other datasets, literature or publications. As a subset of the general concept of digital data, it is classified ... -
L²-Invariants for Self-Similar CW-Complexes
(2020-11-11)L²-invariants are commonly defined only for periodic spaces, that is, spaces with a cocompact action by some discrete group. This thesis develops a theory of L²-invariants for quasi-periodic spaces instead, where the group ... -
Machine learning and statistical analysis to identify determinants of survival in primary glioblastoma using genome wide expression studies
(2022-07-05)Glioblastoma (GBM) is the most common and highly aggressive brain tumor. GBM poses unique challenges due to high rates of tumor recurrence ( 34%) and resistance to treatment. Despite advances in treatment strategies, the ... -
Machine Learning-Based Analysis of Bird Vocalizations
(2022-04-01)Acoustic signals are rich in information content. For humans the skill of listening to sounds and extracting relevant information comes effortlessly. However, for computers this task is quite challenging. Machine hearing ... -
Magnetic Tomography
(2006-03-24)We consider the inverse problem of reconstructing a current distribution from its magnetic field that is called magnetic tomography. We study uniqueness issues by investigating the mapping ... -
Matching Patterns with Variables in Approximate Settings
(2024-02-12)In the literature dealing with patterns with variables, a word, also called string, is a sequence of terminal letters, while a pattern is a sequence of terminal and variable letters. The problem of deciding if there is a ... -
Mathematical Entity Linking Methods and Applications
(2024-08-15)Entity Linking (EL) is a vital component of Information Retrieval (IR) systems that extract abstract representations from text documents. As such, EL plays a crucial role in various applications such as semantic search, ... -
Mathematics of Biomolecular Structure Experiments
(2023-09-29)One of the main objectives of structural biology is to understand the complicated three-dimensional structure of biomolecules, and thus provide meaningful links between structure and functionality. There is a wide range ... -
Maximum Likelihood Analysis for Bivariate Exponential Distributions
(2007-09-05)A generalization of Marshall-Olkin(1967) bivariate exponential model is proposed and the existence, uniqueness and asymptotic distributional properties of the maximum likelihood estimators ... -
Maximum Likelihood Theory for Retention of Effect Non-Inferiority Trials
(2010-05-28)This work deals with the methodical issues of non-inferiority trials whose aim is to demonstrate that a new test treatment is non-inferior to a well-established reference treatment. In the ... -
Media Distribution using Overlay Multicast and Peer-to-Peer Technologies
(2008-12-03)The explosive growth of multimedia services and applications (e.g. media streaming) demands an efficient, deployable media distribution system on the Internet. Although native IP multicast ... -
Membrane locking in discrete shell theories
(2012-05-23)This work is concerned with the study of thin structures in Computational Mechanics. This field is particularly interesting, since together with traditional finite elements methods (FEM), the last years have seen the ... -
Die Methode von Smolyak bei der multivariaten Interpolation
(2001-05-31)Many classical interpolation methods obtain results of equal quality in any space dimension only if the amount of data grows exponentially. This problem can be cured by the method of Smolyak ... -
Methodical and technical aspects of functional-structural plant modelling
(2017-09-26)During the last decade, functional-structural plant models (FSPM) has become a more widely accepted paradigm and tool in life sciences. The increasing demand for FSPMs raised a number of new challenges, including the ... -
Microlocal Analysis of Tempered Distributions
(2014-09-17)In this dissertation we study tempered distributions from the microlocal point of view. The fundamental notion of microlocal analysis, the wave front set, is replaced by two analogues, the SG-wave front set and the G-wave ...