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Buch
Stochastische Simulation von Zufallsexperimenten mit Fathom
(Franzbecker, Hildesheim, 2010)
In der Mathematikdidaktik gibt es die weit verbreitete Auffassung, durch die Verwendung von Simulationen Lernprozesse zu unterstützen. Dies hat mich im Rahmen meiner Dissertation dazu bewogen, erstens eine Werkzeuganalyse des Simulationspotentials der Software Fathom durchzuführen und zweitens exemplarische Analysen dazu, wie Lernende mit der Software arbeiten.
Bei der Werkzeuganalyse standen vor allem folgende zwei Fragen im Mittelpunkt: Was bietet die Software an Simulationspotential? Wie gut und leicht lassen ...
Preprint
On Solution Sets of Information Inequalities
(2011)
We investigate solution sets of a special kind of linear inequality systems. In particular, we derive characterizations of these sets in terms of minimal solution sets. The studied inequalities emerge as information inequalities in the context of Bayesian networks. This allows to deduce important properties of Bayesian networks, which is important within causal inference.
Dissertation
Vom Biofilm zur planktonischen Lebensform
(2014-01-17)
Im ersten Teil dieser Dissertation stand die Analyse der Motilitätsentwicklung bei Vertretern der Gattung Methylobacterium im Vordergrund. Diese zu den pink pigmentierten fakultativ methylotrophen Mikroorganismen (PPFMs) gehörenden Prokaryoten sind in der Umwelt weit verbreitet. Besonders häufig besiedeln die Mikroben pflanzliche Oberflächen und können als so genannte Phytosymbionten in einer wechselseitigen Beziehung zu pflanzlichen Organismen stehen. In aquatischer Umgebung können Methylobakterien Flagellen aufweisen. ...
Dissertation
Free Resolutions from Involutive Bases
(2016-11-02)
We show that the theory of involutive bases can be combined with discrete algebraic Morse Theory. For a graded k[x0 ...,xn]-module M, this yields a free resolution G, which in general is not minimal. We see that G is isomorphic to the resolution induced by an involutive basis. It is possible to identify involutive bases inside the resolution G. The shape of G is given by a concrete description. Regarding the differential dG, several rules are established for its computation, which are based on the fact that in the ...
Habilitation
Applicability of ordinal-array-based indicators to strange nonchaotic attractors
(Universität Kassel, 2017-06-12)
Time series are useful for modeling systems behavior, for predicting some events (catastrophes, epidemics, weather, ...) or for classification purposes (pattern recognition, pattern analysis). Among the existing data analysis algorithms, ordinal pattern based algorithms have been shown effective when dealing with simulation data. However, when applied to quasi-periodically forced systems, they fail to detect SNA and tori as regular dynamics. In this work we address this concern by defining ordinal array (OA) based ...
Dissertation
Analysis of PDF expressing and light sensitive circadian pacemaker neurons in the cockroach Rhyparobia maderae
(2018)
Organismen auf der Erde entwickelten oszillierende endogene Uhren, welche zirkadiane Rhythmen in der Physiologie und im Verhalten steuern, die für Gesundheit, Überleben und die Organisation von täglichen Aufgaben (z. B. Lokomotion, Nahrungsaufnahme) essentiell sind. Die endogene Periode der zirkadianen Uhren ist mit dem 24-Stunden-Licht-Dunkel-Zyklus der aufgehenden und untergehenden Sonne synchronisiert. Ebenso wie alle anderen Organismen, besitzt auch die Madeira-Schabe Rhyparobia (syn. Leucophaea) maderae eine ...
Dissertation
Diversity of aphyllophoroid fungi from taxonomical and biogeographical perspectives
(2018)
Comprehensive knowledge of biodiversity is a prerequisite for its long-term conservation and sustainable use. Fungi play crucial roles in ecosystems and are among the species-richest organism groups on Earth. However, all aspects of their diversity remain underexplored.
In this study, we aimed to fill the gaps in occurrence data and taxonomy as well as in understanding spatial diversity patterns of aphyllophoroid fungi (non-gilled macroscopic Basidiomycota). We digitized and made openly accessible 4,041 records of ...
Aufsatz
Preparation and Molecular Structure of a Cyclopentyl-Substituted Cage Hexasilsesquioxane T6 (T = cyclopentyl-SiO1.5) Starting from the Corresponding Silanetriol
(2017-10-04)
Cyclopentyl substituted silanetriol can be prepared and isolated. Its condensation yields the corresponding disiloxanetetrol as a primary condensation product. Further condensation leads to the hexameric polyhedral silsesquioxane cage T6. The latter has been mentioned in the literature before however, lacking structural data. All compounds have been characterized with multinuclear NMR spectroscopy and, in addition, the molecular structures have been determined in the case of the disiloxanetetrol and the hexasilsesquioxane ...
Aufsatz
Metallated [3]Ferrocenophanes Containing P3M Bridges (M = Li, Na, K)
(2018-07-11)
Alkali-metal phosphanides can be embedded into a [3]ferrocenophane scaffold giving rise to bicyclic ferrocenophanes [MFe(C5H4PtBu)2P] (M = Li, Na, K). Coordination of the alkali-metal ions takes place via the terminal phosphorus atoms adopting a puckered P3M four-membered ring. All compounds were characterized via single-crystal X-ray diffraction and multinuclear NMR spectroscopy (1H, 31P, 7Li), whereas 13C NMR data could only be recorded for the Li derivative, owing to the limited solubility of its heavier congeners ...