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The transformation of a closed curve into an ellipse - MaRDI portal

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The transformation of a closed curve into an ellipse (Q1264576)

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scientific article; zbMATH DE number 1204433
Language Label Description Also known as
English
The transformation of a closed curve into an ellipse
scientific article; zbMATH DE number 1204433

    Statements

    The transformation of a closed curve into an ellipse (English)
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    31 October 1999
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    In previous work [\textit{W. Schuster}, Math. Semesterber. 45, 77-94 (1998; Zbl 0902.52014)], the author developed a ``parallelogram construction'' which maps an \(n\)-gon in the complex plane onto a regular \(n\)-gon. Here he generalizes this to a procedure which in the limit maps an analytic Jordan curve onto an ellipse.
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    transformation to an ellipse
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    parallelogram construction
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    analytic closed curve
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