Distance matrices and isometric embeddings

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We review the relations between distance matrices and isometric embeddings and give simple proofs that distance matrices defined on euclidean and spherical spaces have all eigenvalues except one non-negative. Several generalizations are discussed.
17 pages

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Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/139767

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.2063
 http://arxiv.org/abs/0710.2063

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arXiv