pseudometric


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pseudometric

[¦süd·ə¦me·trik]
(mathematics)
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There have been a number of generalizations of metric spaces such as vector valued metric spaces, G-metric spaces, pseudometric spaces, fuzzy metric spaces, D-metric spaces, cone metric spaces, and modular metric spaces.
By a pseudometric over M we shall mean any map d : M x M [right arrow] [R.
For pseudometric extensions, we refer to Hyers, Isac and Rassias [12, Ch 5]; see also Turinici [20].
In FRS, the true factor structure cannot be known because the original data have been altered by the aggregation of raw ordinal ratings into pseudometric means.
The degeneracy locus of the Kobayashi pseudometric was studied by Adachi and Suzuki in [1], [2]).
Hence [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a pseudometric space.
is the metric identification of the pseudometric space [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
A positive answer to this--in a pseudometric setting--will be described below.
By a pseudometric over X we shall mean any map d : X xX [right arrow] [R.
The differential Kobayashi-Royden metric on M is a complex Finsler pseudometric given by
Apparently, the description of a local base at the neutral element of the free Abelian topological group A(X) in terms of continuous pseudometric on X was known to M.
Let d be a continuous left-invariant pseudometric on a topological group G.