Order-unit-metric spaces [PDF]
Positivity, 2013 We study the concept of cone metric space in the context of ordered vector spaces by setting up a general and natural framework for it.
Çağlar, Mert, Ercan, Zafer
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Metric Dimension for Gabriel Unit Disk Graphs is NP-Complete [PDF]
Algorithmic Aspects of Wireless Sensor Networks, 2012 We show that finding a minimal number of landmark nodes for a unique virtual addressing by hop-distances in wireless ad-hoc sensor networks is NP-complete even if the networks are unit disk graphs that contain only Gabriel edges.
Stefan Hoffmann, Egon Wanke
semanticscholar +4 more sources
Paracontact metric structures on the unit tangent sphere bundle [PDF]
, 2013 Starting from $$g$$g-natural pseudo-Riemannian metrics of suitable signature on the unit tangent sphere bundle $$T_1 M$$T1M of a Riemannian manifold $$(M,\langle ,\rangle )$$(M,⟨,⟩), we construct a family of paracontact metric structures.
G. Calvaruso, V. Martín-Molina
semanticscholar +3 more sources
Why pitch sensitivity matters: Event-related potential evidence of metric and syntactic violation detection among Spanish late learners of German. [PDF]
Frontiers in Psychology, 2011 Event-related potential (ERP) data in monolingual German speakers have shown that sentential metric expectancy violations elicit a biphasic ERP pattern consisting of an anterior negativity and a posterior positivity (P600).
Maren eSchmidt-Kassow +2 more
doaj +2 more sources
Asymptotically hyperbolic metrics on a unit ball admitting multiple horizons
, 2008 In this paper, we construct an asymptotically hyperbolic metric with scalar curvature -6 on unit ball $\mathbf{D}^3$, which contains multiple horizons.Comment ...
ZhenYang Li, Yuguang Shi, Peng Wu
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Well-separated pair decomposition for the unit-disk graph metric and its applications [PDF]
Symposium on the Theory of Computing, 2003 Jie Gao, Li Zhang
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On the H.-Q. Li inequality on step-two Carnot groups
Comptes Rendus. Mathématique, 2023 In this note we show that the gradient estimate of the heat semigroup, or more precisely the H.-Q. Li inequality, is preserved under tensorization, some suitable group epimorphism, and central sum. We also establish the Riemannian counterpart of the H.-Q.
Zhang, Ye
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Critical Metrics and Curvature of Metrics with Unit Volume or Unit Area of the Boundary
The Journal of Geometric Analysis, 2022 32 pages. Comments are welcome! (added references, corrected typos)
Tiarlos Cruz, Almir Silva Santos
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Fault-tolerance in metric dimension of boron nanotubes lattices
Frontiers in Computational Neuroscience, 2023 The concept of resolving set and metric basis has been very successful because of multi-purpose applications both in computer and mathematical sciences.
Zafar Hussain, Muhammad Mobeen Munir
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Asymptotically Mean Value Harmonic Functions in Doubling Metric Measure Spaces
Analysis and Geometry in Metric Spaces, 2022 We consider functions with an asymptotic mean value property, known to characterize harmonicity in Riemannian manifolds and in doubling metric measure spaces.
Adamowicz Tomasz +2 more
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