Curves length-minimizing modulo \(\nu\) in \(R^ n\) (Q1117454)
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scientific article; zbMATH DE number 4092223
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Curves length-minimizing modulo \(\nu\) in \(R^ n\) |
scientific article; zbMATH DE number 4092223 |
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Curves length-minimizing modulo \(\nu\) in \(R^ n\) (English)
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1988
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The author proves that a set of unit vectors with tails (resp., heads) at a common point, say the origin, minimizes length modulo \(\nu\) if and only if the sum of the vectors has length less than or equal to \(\nu\)-N, where N is the number for rays comprising the cone. This theorem gives a local characterization of all curves which minimize length modulo \(\nu\).
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length-minimization properties
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cone
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