Hilbert metric
http://dbpedia.org/resource/Hilbert_metric
In der Geometrie sind Hilbert-Metriken gewisse Metriken auf beschränkten konvexen Teilmengen des euklidischen Raumes, die das Beltrami-Klein-Modell der hyperbolischen Geometrie verallgemeinern.
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In mathematics, the Hilbert metric, also known as the Hilbert projective metric, is an explicitly defined distance function on a bounded convex subset of the n-dimensional Euclidean space Rn. It was introduced by David Hilbert as a generalization of Cayley's formula for the distance in the Cayley–Klein model of hyperbolic geometry, where the convex set is the n-dimensional open unit ball. Hilbert's metric has been applied to Perron–Frobenius theory and to constructing Gromov hyperbolic spaces.
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Hilbert-Metrik
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Hilbert metric
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David Hilbert
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David
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Hilbert
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1895
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In der Geometrie sind Hilbert-Metriken gewisse Metriken auf beschränkten konvexen Teilmengen des euklidischen Raumes, die das Beltrami-Klein-Modell der hyperbolischen Geometrie verallgemeinern.
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In mathematics, the Hilbert metric, also known as the Hilbert projective metric, is an explicitly defined distance function on a bounded convex subset of the n-dimensional Euclidean space Rn. It was introduced by David Hilbert as a generalization of Cayley's formula for the distance in the Cayley–Klein model of hyperbolic geometry, where the convex set is the n-dimensional open unit ball. Hilbert's metric has been applied to Perron–Frobenius theory and to constructing Gromov hyperbolic spaces.
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8983