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Analysis II für Physiker by Wulf-Dieter Geyer

By Wulf-Dieter Geyer

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4. Wendet man auf den Weg aus Beispiel 3 die lineare Transformation x 7! ax y by (x; y 2 IR) mit a > b > 0, also eine Streckung in beiden Achsenrichtungen mit verschiedenen Dehnungsfaktoren, an, so entsteht aus dem Kreis eine Ellipse 0; 2 ] 3 t 7! (a cos t; b sin t) ; deren Spur durch die Gleichung x + y a b 2 ................................................................. ..............

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