natural metric

  • 21Poincaré metric — In mathematics, the Poincaré metric, named after Henri Poincaré, is the metric tensor describing a two dimensional surface of constant negative curvature. It is the natural metric commonly used in a variety of calculations in hyperbolic geometry… …

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  • 22History of the petroleum industry in Canada (natural gas) — Natural gas has been used almost as long as crude oil in Canada, but its commercial development was not as rapid. This is because of special properties of this energy commodity: it is a gas, and it frequently contains impurities. The technical… …

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  • 23Glossary of Riemannian and metric geometry — This is a glossary of some terms used in Riemannian geometry and metric geometry mdash; it doesn t cover the terminology of differential topology. The following articles may also be useful. These either contain specialised vocabulary or provide… …

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  • 24History of the petroleum industry in Canada (natural gas liquids) — Canada s natural gas liquids industry dates back to the discovery of wet natural gas at Turner Valley, Alberta in 1914. The gas was less important than the natural gasoline skunk gas it was called, because of its distinctive odour that early… …

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  • 25Complete metric space — Cauchy completion redirects here. For the use in category theory, see Karoubi envelope. In mathematical analysis, a metric space M is called complete (or Cauchy) if every Cauchy sequence of points in M has a limit that is also in M or,… …

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  • 26Kerr metric — In general relativity, the Kerr metric (or Kerr vacuum) describes the geometry of spacetime around a rotating massive body. According to this metric, such rotating bodies should exhibit frame dragging, an unusual prediction of general relativity; …

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  • 27Intrinsic metric — In the mathematical study of metric spaces, one can consider the arclength of paths in the space. If two points are a given distance from each other, it is natural to expect that one should be able to get from one point to another along a path… …

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  • 28Convex metric space — An illustration of a convex metric space. In mathematics, convex metric spaces are, intuitively, metric spaces with the property any segment joining two points in that space has other points in it besides the endpoints. Formally, consider a… …

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  • 29Wasserstein metric — In mathematics, the Wasserstein (or Vasershtein) metric is a distance function defined between probability distributions on a given metric space M. Intuitively, if each distribution is viewed as a unit amount of dirt piled on M, the metric is the …

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  • 30Helly metric — In game theory, the Helly metric is used to assess the distance between two strategies. It is named for Eduard Helly. Consider a game , between player I and II. Here, and are the sets of pure strategies for players I and II respectively; and is… …

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