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The Pythagorean Theorem: I. The finite case
The Pythagorean Theorem and variants of it are studied. The variations evolve to a formulation in terms of noncommutative, conditional expectations on von Neumann algebras that displays the theorem as the basic result of noncommutative, metric, Euclidean Geometry. The emphasis in the present article...
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado em: |
The National Academy of Sciences
2002
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| Acesso em linha: | https://ncbi.nlm.nih.gov/pmc/articles/PMC123622/ https://ncbi.nlm.nih.gov/pubmed/11929992 https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.032677199 |
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