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String Manipulation
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Distance and Similarity Measures
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ManhattanDistance
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Exploratory Data Analysis
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Distance and Similarity Measures
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ManhattanDistance
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Statistical Data Analysis
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Distance and Similarity Measures
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ManhattanDistance
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BUILT-IN MATHEMATICA SYMBOL
Partitioning Data into Clusters
Tutorials »
|
EuclideanDistance
SquaredEuclideanDistance
HammingDistance
ChessboardDistance
BrayCurtisDistance
CanberraDistance
CornerNeighbors
See Also »
|
Exploratory Data Analysis
Distance and Similarity Measures
New in 6.0: Mathematics & Algorithms
New in 6.0: Statistics
More About »
ManhattanDistance
ManhattanDistance
gives the Manhattan or "city block" distance between vectors
u
and
v
.
MORE INFORMATION
ManhattanDistance
is equivalent to
Total
[
Abs
[
u
-
v
]]
.
»
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Manhattan distance between two vectors:
Manhattan distance between numeric vectors:
Manhattan distance between two vectors:
In[1]:=
Out[1]=
Manhattan distance between numeric vectors:
In[1]:=
Out[1]=
Scope
(2)
Compute distance between any vectors of equal length:
Compute distance between vectors of any precision:
Applications
(2)
Cluster data using Manhattan distance:
Demonstrate the triangle inequality:
Properties & Relations
(5)
Manhattan distance is a sum of absolute differences:
ManhattanDistance
is equivalent to a
Norm
of a difference:
ManhattanDistance
is greater than or equal to
ChebyshevDistance
:
BrayCurtisDistance
is a ratio of Manhattan distances:
MeanDeviation
as a scaled
ManhattanDistance
from the
Mean
:
SEE ALSO
EuclideanDistance
SquaredEuclideanDistance
HammingDistance
ChessboardDistance
BrayCurtisDistance
CanberraDistance
CornerNeighbors
TUTORIALS
Partitioning Data into Clusters
MORE ABOUT
Exploratory Data Analysis
Distance and Similarity Measures
New in 6.0: Mathematics & Algorithms
New in 6.0: Statistics
New in 6