Abstract
The author recalls some measures of the difference between two objects: similarity, dissimilarities, metrics, ultrametrics, ultramines. Ultrametric is a dissimilarity index, ultramine is a similarity index. p-adic integers and p-adic numbers are introduced. p-adic numbers are non-archimedean. p-adic numbers were introduced by Hensel in 1897 after Kronecker’s work in Numbers Theory. The p-adic distance associated with a pair (a, b) of p-adic numbers satisfies all conditions of distance function and the ultrametric inequality.
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© 2000 Springer-Verlag Berlin · Heidelberg
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Rizzi, A. (2000). Ultrametrics and p-adic Numbers. In: Gaul, W., Opitz, O., Schader, M. (eds) Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58250-9_26
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DOI: https://doi.org/10.1007/978-3-642-58250-9_26
Publisher Name: Springer, Berlin, Heidelberg
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