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Die isoperimetrische Ungleichung in der Ebene by Barth, Ina

Die isoperimetrische Ungleichung in der Ebene

by Ina Barth
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Book cover type: Paperback
  • ISBN13: 9783638905732
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Grin Verlag
  • Publisher Imprint: Grin Verlag
  • Publication Date:
  • Pages: 36
  • Original Price: USD 25.5
  • Language: German
  • Edition: 2. Auflage
  • Item Weight: 59 grams
  • BISAC Subject(s): Reference

Bachelorarbeit aus dem Jahr 2007 im Fachbereich Mathematik - Angewandte Mathematik, Note: 1,3, Ruhr-Universität Bochum, Veranstaltung: Kurven und Flächen, Sprache: Deutsch, Abstract: Die isoperimetrischen Ungleichung schätzt in der Ebene den Flächeninhalt einer Figur gegen ihren Umfang ab. Insbesondere wird hierbei eine Sonderstellung des Kreises deutlich, da allein beim Kreis die Gleichheit in der Ungleichung eintritt. Ein zugehöriges Optimierungsproblem in der Landwirtschaft lässt sich wie folgt formulieren: Ein Bauer hat eine bestimmte Länge Zaun und möchte damit die grö tmögliche Kuhweide einzäunen. Die Lösung dieses Problems lautet, dass die Weide kreisförmig sein sollte. Dies werde ich in den folgenden Kapiteln mathematisch zeigen.

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