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Stephen Wolfram
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
Mathematica
>
Core Language
>
String Manipulation
>
Sequence Alignment & Comparison
>
Distance and Similarity Measures
>
Mathematica
>
Data Manipulation
>
Numerical Data
>
Exploratory Data Analysis
>
Distance and Similarity Measures
>
Mathematica
>
Data Manipulation
>
Statistics
>
Exploratory Data Analysis
>
Distance and Similarity Measures
>
Built-in
Mathematica
Symbol
Partitioning Data into Clusters
Tutorials »
|
ManhattanDistance
EuclideanDistance
SquaredEuclideanDistance
BrayCurtisDistance
CanberraDistance
CornerNeighbors
See Also »
|
Distance and Similarity Measures
Summary of New Features in 7.0
More About »
ChessboardDistance
ChessboardDistance
[
u
,
v
]
gives the chessboard, Chebyshev or sup norm distance between vectors
u
and
v
.
MORE INFORMATION
ChessboardDistance
[
u
,
v
]
is equivalent to
Max
[
Abs
[
u
-
v
]]
.
»
EXAMPLES
CLOSE ALL
Basic Examples
(2)
The chessboard distance between two vectors:
Chessboard distance between numeric vectors:
The chessboard distance between two vectors:
In[1]:=
Out[1]=
Chessboard distance between numeric vectors:
In[1]:=
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 Chessboard distance:
Demonstrate the triangle inequality:
Properties & Relations
(4)
Chessboard distance is the maximum of absolute differences:
ChessboardDistance
is equivalent to a
Norm
of a difference:
ChessboardDistance
is less than or equal to
ManhattanDistance
:
ChessboardDistance
is less than or equal to
EuclideanDistance
:
SEE ALSO
ManhattanDistance
EuclideanDistance
SquaredEuclideanDistance
BrayCurtisDistance
CanberraDistance
CornerNeighbors
TUTORIALS
Partitioning Data into Clusters
MORE ABOUT
Distance and Similarity Measures
Summary of New Features in 7.0
New in 6