Relationship between Euclidean, Lobachevskian (hyperbolic), and billiard metrics and its application to a billiard problem in \(\mathbb R^d\) (Q1876384)
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scientific article; zbMATH DE number 2097052
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relationship between Euclidean, Lobachevskian (hyperbolic), and billiard metrics and its application to a billiard problem in \(\mathbb R^d\) |
scientific article; zbMATH DE number 2097052 |
Statements
Relationship between Euclidean, Lobachevskian (hyperbolic), and billiard metrics and its application to a billiard problem in \(\mathbb R^d\) (English)
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6 September 2004
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Relationships among the three metrics -- billiard, Euclidean, and Lobachevskian (hyperbolic) -- are established. This relationships are applied to a billiard problem on generalized diagonals of an Euclidean multidimensional convex polyhedron.
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hyperbolic distance
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billiard formula
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Poincaré upper half plane model
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0.8586546
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0.85314876
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0.83980346
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0.83847755
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0.83675396
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0.83293283
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