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Geometry and topology of wild translation surfaces

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ISBN: 9783731504566 Year: Pages: 151 p. DOI: 10.5445/KSP/1000050964 Language: ENGLISH
Publisher: KIT Scientific Publishing
Subject: Mathematics
Added to DOAB on : 2019-07-30 20:02:02
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Abstract

A translation surface is a two-dimensional manifold, equipped with a translation structure. It can be obtained by considering Euclidean polygons and identifying their edges via translations. The vertices of the polygons form singularities if the translation structure can not be extended to them. We study translation surfaces with wild singularities, regarding the topology (genus and space of ends), the geometry (behavior of the singularities), and how the topology and the geometry are related.

Passagen der Pädagogik

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Book Series: Theorie Bilden ISBN: 9783839408469 9783899428469 Year: Pages: 306 DOI: 10.14361/9783839408469 Language: German
Publisher: transcript Verlag
Subject: Education
Added to DOAB on : 2020-02-11 11:21:25
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Diese Studie wirft die Frage auf, inwieweit eine Pädagogik jenseits der Erstarrung in systemischen Strukturen beweglich und systematisch zu denken ist. Dieser paradoxen Ausgangskonstellation kann mit der späten Systemtheorie Luhmanns begegnet werden, die den Versuch unternimmt, eine differentialistische Wende jenseits des klassischen Differenzbegriffes voranzutreiben. Die bislang offenen Enden dieses Projekts werden mit Deleuze weiterentwickelt. In einer topologischen Lesart - insbesondere aus dem Blickwinkel einer Topologie der Differenz - kann Pädagogik so als Ausdruckssystem refiguriert werden.

Mobile laser scanning based determination of railway network topology and branching direction on turnouts

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Book Series: Schriftenreihe / Institut für Mess- und Regelungstechnik, Karlsruher Institut für Technologie ISSN: 16134214 ISBN: 9783731507437 Year: Volume: 038 Pages: XII, 137 p. DOI: 10.5445/KSP/1000077900 Language: ENGLISH
Publisher: KIT Scientific Publishing
Subject: Technology (General)
Added to DOAB on : 2019-07-28 18:37:01
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Abstract

GNSS is often inaccurate and satellite signals are not always available, which results in ambiguous situations. In order to reduce their negative effects on train-borne localization, this work proposes an approach for the detection of tracks, turnouts, and branching directions solely from 2d lidar sensor measurements. The experimental evaluation shows highly correct and complete results. In summary, these detections are sufficient to reduce ambiguity problems in train-borne localization.

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