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The q-Engel Expansion is an algorithm that leads to unique series expansions of qseries. Various examples related to classical partition theorems, including the RogersRamanujan identities together with the elegant generalization found by Garrett, Ismail and Stanton, have been described recently. The object of this paper is to present the computer algebra package Engel, written in Mathematica, t...
BACKGROUND The diagnosis of a sinus fungus ball (SFB) is often not clear despite well-defined diagnostic criteria. OBJECTIVE To study the radiological, intraoperative and histological diagnostic accuracy in comparison to results from mycological and histological analysis. METHODS Systematic review of 724 files from patients treated for chronic rhinosinusitis from 1999 - 2006 at our institut...
The Schelling segregation models are “agent based” population models, where individual members of the population (agents) interact directly with other agents and move in space and time. In this note we study one-dimensional Schelling population models as finite dynamical systems. We define a natural notion of entropy which measures the complexity of the family of these dynamical systems. The en...
Gut microbial induction of host immune maturation exemplifies host-microbe mutualism. We colonized germ-free (GF) mice with mouse microbiota (MMb) or human microbiota (HMb) to determine whether small intestinal immune maturation depends on a coevolved host-specific microbiota. Gut bacterial numbers and phylum abundance were similar in MMb and HMb mice, but bacterial species differed, especially...
An attempt is made to match observed properties of supernovae, such as spectra, lightcurves etc. with theoretical ideas and predictions. It is demonstrated that neither do observational data constrain the models in a unique way nor does theory allow for an unambiguous interpretation of the data. Possible improvements on the theoretical side are briefly discussed. Some Observational Facts In gen...
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