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Hilbert geometry

The term Hilbert geometry may refer to several things named after David Hilbert:

  • Hilbert's axioms, a modern axiomatization of Euclidean geometry
  • Hilbert space, a space in many ways resembling a Euclidean space, but in important instances infinite-dimensional
  • Hilbert metric, a metric that makes a bounded convex subset of a Euclidean space into an unbounded metric space
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