The total absolute curvature of nonclosed plane curves of fixed length (Q2703056)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The total absolute curvature of nonclosed plane curves of fixed length |
scientific article |
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2 July 2001
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nonclosed planar curve
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fixed length
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total absolute curvature
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The total absolute curvature of nonclosed plane curves of fixed length (English)
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In this paper the author investigates the total absolute curvature of nonclosed piecewise \(\mathbb{C}^2\) curves of fixed length in the Euclidean plane and proves how the lower bound of the total absolute curvature depends on the end directions and the length of the curve.
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