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2nd International Conference on Symmetry and Antisymmetry in Mathematics, Formal Languages and Computer Science
June 29 - July 1, 2000
"Transylvania" University of Brasov
Brasov, Romania

Organizers
Gabriel V. Orman, Radu Paltanea, Dorin Bocu, N. Pascu, E. Popescu, O. Popescu, I. Radomir, L. Sangeorzan, M. Neagu, E. Paltanea, D. Raducanu

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Utrametric and p-adic numbers
by
Alfredo Rizzi
Universita " La Sapienza " Roma

The author recalls measures of difference between two objects: similarity, dissimilarity, metrics, ultrametrics ultramines. Ultrametric is a dissimilarity index, ultramine is a similarity index. P-adic numbers are introducted. P-adic numbers are non archimedean. P-adic-numbers were introduced by Hensel in 1897 after Kronecker's work in Number 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. Key-words: ultrametrics, ultramines, p-adic numbers.

Date received: March 13, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caet-30.