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arxiv: 0710.2063 · v1 · submitted 2007-10-10 · 🌊 nlin.CD

Distance matrices and isometric embeddings

classification 🌊 nlin.CD
keywords distancematricesembeddingsisometricdefineddiscussedeigenvalueseuclidean
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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.

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