Results 281 to 290 of about 691,381 (299)

Isometric representations in neural networks improve robustness. [PDF]

Sci Rep
Beshkov K, Verhellen J, Lepperød ME.
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Metric systems and principles of dimensioning in early Christian architecture

, 2017
Stela Doncheva
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THE METRIC DIMENSION OF METRIC MANIFOLDS

Bulletin of the Australian Mathematical Society, 2015
In this paper we determine the metric dimension of $n$-dimensional metric $(X,G)$-manifolds. This category includes all Euclidean, hyperbolic and spherical manifolds as special cases.
Heydarpour, Majid, Maghsoudi, Saeid
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The Metric Dimension of Metric Spaces

Computational Methods and Function Theory, 2013
Let \((X,d)\) be a metric space. A non-empty subset \(A\) of \(X\) resolves \((X,d)\) if \(d(x,a)=d(y,a)\) for all \(a\) in \(A\) implies \(x=y\), and if that is so we may regard the distances \(d(x,a)\), where \(a\in A\), as the coordinates of \(x\) with respect to \(A\).
Bau, Sheng, Beardon, Alan F.
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The k-metric dimension

Journal of Combinatorial Optimization, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adar, Ron, Epstein, Leah
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Edge metric dimension and mixed metric dimension of a plane graph Tn

Discrete Mathematics, Algorithms and Applications, 2023
Let [Formula: see text] be a connected graph where [Formula: see text] is the set of vertices of [Formula: see text] and [Formula: see text] is the set of edges of [Formula: see text]. The distance from the vertex [Formula: see text] to the edge [Formula: see text] is given by [Formula: see text].
Shen, Huige, Qu, Jing, Kang, Na, Lin, Cong   +3 more
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On the Metric Dimension of Certain Metric Manifolds

Bulletin of the Iranian Mathematical Society, 2020
Recall that the metric dimension, \(\mathrm{md}(X)\) of a metric space \((X,d)\) is the minimal cardinality of a resolving set, i.e. a non-empty set \(A\subset X\) such that for any \(x,y\in X\), if \(d(x,a)=d(y,a)\) for all \(a\in X\) then \(x=y\).
Heydarpour, Majid, Maghsoudi, Saeid
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Dimension and metric

Chaos, Solitons & Fractals, 2002
Abstract We briefly discuss the nature of space, its metric and dimension in the spirit of El Naschie's Cantorian space-time.
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Ulam’s Metric in Higher Dimensions

Ulam’s metric defines the minimal number of moves (extrac-tion followed by re-insertion of permutation elements) to go between a given pair of permutations, and determination of moved elements resolves the Longest Common Subsequence problem. The extensive research that followed Ulam’s work provided many influential discoveries in computer science ...
Sebastian Bala, Andrzej Kozik
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