Finite metric and $k$-metric bases on ultrametric spaces
نویسندگان
چکیده
منابع مشابه
Metric and ultrametric spaces of resistances a
Given an electrical circuit each edge e of which is an isotropic conductor with a monomial conductivity function y∗ e = y r e/μ s e. In this formula, ye is the potential difference and y∗ e current in e, while μe is the resistance of e; furthermore, r and s are two strictly positive real parameters common for all edges. In particular, r = s = 1 correspond to the standard Ohm low. In 1987, Gvish...
متن کاملMetric and ultrametric spaces of resistances
Given an electrical circuit each edge e of which is an isotropic conductor with a monomial conductivity function y∗ e = y r e/μ s e. In this formula, ye is the potential difference and y ∗ e current in e, while μe is the resistance of e; furthermore, r and s are two strictly positive real parameters common for all edges. In particular, the case r = s = 1 corresponds to the standard Ohm law. In ...
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For a class of fuzzy metric spaces (in the sense of George and Veeramani) with an H-type t-norm, we present a method to construct a metric on a fuzzy metric space. The induced metric space shares many important properties with the given fuzzy metric space. Specifically, they generate the same topology, and have the same completeness. Our results can give the constructive proofs to some probl...
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For example, IR with the regular Euclidean distance is a metric space. It is usually of interest to consider the finite case, where X is an n-point set. Then, the function d can be specified by ( n 2 ) real numbers. Alternatively, one can think about (X,d) is a weighted complete graph, where we specify positive weights on the edges, and the resulting weights on the edges comply with the triangl...
متن کاملMetric and ultrametric spaces of resistances a Vladimir Gurvich
Given an electrical circuit each edge e of which is an isotropic conductor with a monomial conductivity function y∗ e = y r e/μ s e. In this formula, ye is the potential difference and y∗ e current in e, while μe is the resistance of e; furthermore, r and s are two strictly positive real parameters common for all edges. In particular, r = s = 1 correspond to the standard Ohm low. In 1987, Gvish...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2021
ISSN: 1088-6826,0002-9939
DOI: 10.1090/proc/15552