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Notes on separability in metric sets [PDF]

These notes consider the various topologies over metric sets generated by a selection of the metric axioms given below.
Matthews, Stephen G.
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Condensing on metric spaces : modeling, analysis and simulation [PDF]

, 2009
In this work, we extend the Hegselmann and Krause (HK) model, presented in [16] to an arbitrary metric space. We also present some theoretical analysis and some numerical results of the condensing of particles in finite and continuous metric spaces.
Zahri, Mostafa
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Going metric--is it for you? : a management model for small product service companies.

, 1982
"June 1982.""Birch & Davis Associates, Inc."Mode of access ...
Birch & Davis Associates., United States Metric Board.   +1 more
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Records of the Australian Anti-Metric Association

, 1975
This record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/64818Two
Australian Anti-Metric Association
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National Bureau of Standards Metric Kit

, 1976
Pamphlet issued by the United States National Bureau of Standards discussing the Metric Conversion Act of 1975, the work of the U.S.
United States. National Bureau of Standards.
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Conformal capacity and the quasihyperbolic metric

Indiana University Mathematics Journal, 1996
By examining certain capacity conditions we establish a connection between two classes of domains in \(\mathbb{R}^n\) introduced by Gehring and Martio. We present new characterizations, for uniform domains and for domains which satisfy a quasihyperbolic boundary condition, which are valid in the category of domains quasiconformally equivalent to ...
David Herron, Pekka Koskela
exaly   +3 more sources

Uniformly Separated Sets and Gromov Hyperbolicity of Domains with the Quasihyperbolic Metric

Mediterranean Journal of Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eva Touris Lojo, Ana Portilla, Peter Hasto   +2 more
exaly   +2 more sources

The quasihyperbolic metric and associated estimates on the hyperbolic metric

Journal D'Analyse Mathematique, 1986
In this paper the authors present a nice contribution to the theory of the quasihyperbolic metric for domains in \({\mathbb{R}}^ n\). For a domain D in \({\mathbb{R}}^ n\) the quasihyperbolic distance \(k_ D(x,y)\) is obtained from the generalized Riemannian metric \(| dx| /d(x,\partial D)\), where d(x,\(\partial D)\) is the Euclidean distance from x ...
Gaven Martin
exaly   +2 more sources

Quasiconformal removability and the quasihyperbolic metric

Indiana University Mathematics Journal, 2005
The authors establish an essentially sharp condition sufficient for the \(L^n\)-integrability of the quasihyperbolic metric in a domain \(\Omega\subset\mathbb{R}^n\). As a corollary, they prove a result concerning (quasi)conformal and \(W^{1,n}\)-removability of the boundary \(\partial\Omega\).
Pekka Koskela
exaly   +3 more sources

Old and New on the Quasihyperbolic Metric

1998
Let D be a proper subdomain of \( {\mathbb{R}^d}\). Following Gehring and Palka [GP] we define the quasihyperbolic distance between a pair x 1, x 2 of points in D as the infimum of \( {\smallint _\gamma }\frac{{ds}}{{D\left( {x,\partial D} \right)}}\) over all rectifiable curves γ joining x 1, x 2 in D.
Pekka Koskela
exaly   +2 more sources