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ChebyshevDistance

As of Mathematica 7, ChebyshevDistance is superseded by ChessboardDistance.
ChebyshevDistance[u, v]
gives the Chebyshev or sup norm distance between vectors u and v.
  • ChebyshevDistance[u, v] is equivalent to Max[Abs[u-v]].  »
EXAMPLESCLOSE ALL
Basic Examples   (2)
The Chebyshev distance between two vectors:
Chebyshev distance between numeric vectors:
The Chebyshev distance between two vectors:
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Chebyshev distance between numeric vectors:
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Click for copyable input
Out[1]=
Scope   (2)
Compute the distance between any vectors of equal length:
Compute the distance between vectors of any precision:
Applications   (2)
Cluster data using Chebyshev distance:
Demonstrate the triangle inequality:
Properties & Relations   (4)
Chebyshev distance is the maximum of absolute differences:
ChebyshevDistance is equivalent to a Norm of a difference:
ChebyshevDistance is less than or equal to ManhattanDistance:
ChebyshevDistance is less than or equal to EuclideanDistance:
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