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Distance Matrices and Isometric Embeddings
We review the relations between distance matrices and isometric embeddings and give simple proofs that distance matrices de ned on euclidean and spherical spaces have all eigenvalues except one nonpositive. Several generalizations are discussed.
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Format: | Article |
Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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Series: | Журнал математической физики, анализа, геометрии |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/106492 |
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irk-123456789-1064922016-09-30T03:02:43Z Distance Matrices and Isometric Embeddings Bogomolny, E. Bohigas, O. Schmit, C. We review the relations between distance matrices and isometric embeddings and give simple proofs that distance matrices de ned on euclidean and spherical spaces have all eigenvalues except one nonpositive. Several generalizations are discussed. 2008 Article Distance Matrices and Isometric Embeddings / E. Bogomolny, O. Bohigas, C. Schmit // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 1. — С. 7-23. — Бібліогр.: 14 назв. — англ. 1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106492 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
language |
English |
description |
We review the relations between distance matrices and isometric embeddings and give simple proofs that distance matrices de ned on euclidean and spherical spaces have all eigenvalues except one nonpositive. Several generalizations are discussed. |
format |
Article |
author |
Bogomolny, E. Bohigas, O. Schmit, C. |
spellingShingle |
Bogomolny, E. Bohigas, O. Schmit, C. Distance Matrices and Isometric Embeddings Журнал математической физики, анализа, геометрии |
author_facet |
Bogomolny, E. Bohigas, O. Schmit, C. |
author_sort |
Bogomolny, E. |
title |
Distance Matrices and Isometric Embeddings |
title_short |
Distance Matrices and Isometric Embeddings |
title_full |
Distance Matrices and Isometric Embeddings |
title_fullStr |
Distance Matrices and Isometric Embeddings |
title_full_unstemmed |
Distance Matrices and Isometric Embeddings |
title_sort |
distance matrices and isometric embeddings |
publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
publishDate |
2008 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/106492 |
citation_txt |
Distance Matrices and Isometric Embeddings / E. Bogomolny, O. Bohigas, C. Schmit // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 1. — С. 7-23. — Бібліогр.: 14 назв. — англ. |
series |
Журнал математической физики, анализа, геометрии |
work_keys_str_mv |
AT bogomolnye distancematricesandisometricembeddings AT bohigaso distancematricesandisometricembeddings AT schmitc distancematricesandisometricembeddings |
first_indexed |
2023-10-18T20:13:04Z |
last_indexed |
2023-10-18T20:13:04Z |
_version_ |
1796149281709621248 |