Results 111 to 120 of about 153 (127)
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On the Existence of Bi-Lipschitz Equivalent Metrics in Semimetric Spaces

Mathematica Slovaca, 2023
ABSTRACTWe provide an overview of the known problem on the existence of a bi-Lipschitz equivalent metric with respect to a given quasi-ultrametric, revisiting known results and counterexamples in an unified approach based on the existence of a relaxed polygonal inequality. We present new proofs and characterizations of classical results using different
Caruso, Andrea Orazio   +1 more
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Interval semimetric spaces for approximate distances. [PDF]

open access: possible, 2005
In accordance with the ideas of Interval Analysis, a notion of interval-valued semimetric space is proposed. Also, the possibility of applying the resulting theory to some chapters of Computer Science is examined.
COPPOLA, CRISTINA, PACELLI, TIZIANA
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Vehicular air-bag control based on energy, momentum, and semimetric spaces

IEEE Transactions on Vehicular Technology, 2000
Described in this paper is a geometric control algorithm for quantifying crash severity, distinguishing crash configurations, and activating air bags during collisions. Its conceptual function and calibration depend on energy, momentum, and semimetric spaces.
Robert Barnard, Miloslav Riesner
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Convergent sequences in semimetric spaces

Publicationes Mathematicae Debrecen, 2022
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On K-Semimetric Spaces

Proceedings of the American Mathematical Society, 1979
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On characterizations and topology of regular semimetric spaces

Publicationes Mathematicae Debrecen, 2018
Katarzyna Chrzaszcz   +2 more
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On representations of permutations groups as isometry groups of n-semimetric spaces

2019
We prove that every finite permutation group can be represented as the isometry group of some n-semimetric space. We show that if a finite permutation group can be realized as the isometry group of some n-semimetric space then this permutation group can be represented as the isometry group of some (n+1)-semimetric space.
Gerdiy, O., Oliynyk, B.
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Robustness Certification for Structured Prediction with General Inputs via Safe Region Modeling in the Semimetric Output Space

Proceedings of the 29th ACM SIGKDD Conference on Knowledge Discovery and Data Mining, 2023
Huaqing Shao, Lanjun Wang, Junchi Yan
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