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metric space

/ˈmɛtrɪk speɪs/

Traduction: Notion mathématique désignant un ensemble de points muni d'une fonction de distance (métrique) qui mesure la distance entre deux points quelconques de cet ensemble.

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/ˈmɛtrɪk speɪs/C1formalscientific
  • frNotion mathématique désignant un ensemble de points muni d'une fonction de distance (métrique) qui mesure la distance entre deux points quelconques de cet ensemble.

A mathematical concept referring to a set of points with a defined distance function (metric) that measures the distance between any two points in the set.

  1. Mathematical conceptC2formal

    A set together with a metric (a function that defines a distance between any two elements of the set).

    frespace métrique

    • The real numbers form a metric space with the usual absolute value distance.
    • In a metric space, the triangle inequality must hold for all points.
    • Compactness is an important property of certain metric spaces.