pseudometric

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pseudometric

[¦süd·ə¦me·trik]
(mathematics)
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Also, it should be noted, that the transformations (a)-(b) (or (3)-(4) from [10]) are preserving the Lorentz-Minkowski pseudo-metric:
But any bijective linear operator in the Minkowski space-time, preserving the Lorentz-Minkowski pseudo-metric, belongs to the general Lorentz group [12], and it can not be coordinate transform for superluminal reference frame.
The coordinate transformations (9)-(10) from [10], according to the author requirements, also are preserving the Lorentz-Minkowski pseudo-metric in the Minkowski spacetime over [R.sup.3].
Deng, "Fuzzy pseudo-metric spaces," Journal of Mathematical Analysis and Applications, vol.
Shi, "Pointwise pseudo-metrics in L-fuzzy set theory," Fuzzy Sets and Systems, vol.
--Pseudo-metric mean of grey levels (similar to the previous pseudo-metric):
The corresponding distances along a path P = ([x.sub.0],..., [x.sub.l]) are the sum of the pseudo-metric along this path P:
I thought to a multi-space also: fragments (potsherds) of spaces put together, say as an example: Banach, Hausdorff, Tikhonov, compact, paracompact, Fock symmetric, Fock antisymmetric, path-connected, simply connected, discrete metric, indiscrete pseudo-metric, etc.
([2]) By probabilistic quasi pseudo-metric space (PgpM-space), we mean an ordered triple (X, P, *), where X is a nonempty set, the operation * is a [t.sub.[Delta]+]-norm and P : [X.sup.2] [right arrow] D satisfies the following conditions: for all x, y, z [member of] X,
The function [F.sup.M] will be called the natural probabilistic pseudo-metric generated by the Pqp-metric P.
Fink, "Object classification from a single example utilizing class relevance pseudo-metrics," Advances in Neural Information Processing Systems, pp.
Ng, "Online and batch learning of pseudo-metrics," in Proceedings of the ACM 21st International Conference on Machine Learning (ICML '04), p.

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