Metric Transforms

  • Michel Marie Deza
  • Elena Deza


There are many ways to obtain new distances (metrics) from given distances (metrics). Metric transforms give new distances as a functions of given metrics (or given distances) on the same set X. A metric so obtained is called a transform metric. We give some important examples of transform metrics in Sect. 4.1.


Cayley Graph Distance Space Line Distance Extension Distance Hilbert Cube 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Michel Marie Deza
    • 1
  • Elena Deza
    • 2
  1. 1.École Normale SupérieureParisFrance
  2. 2.Moscow State Pedagogical UniversityMoscowRussia

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