Mathematica 9 is now available
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 >

ManhattanDistance

ManhattanDistance[u, v]
gives the Manhattan or "city block" distance between vectors u and v.
Manhattan distance between two vectors:
Manhattan distance between numeric vectors:
Manhattan distance between two vectors:
In[1]:=
Click for copyable input
Out[1]=
 
Manhattan distance between numeric vectors:
In[1]:=
Click for copyable input
Out[1]=
Compute distance between any vectors of equal length:
Compute distance between vectors of any precision:
Cluster data using Manhattan distance:
Demonstrate the triangle inequality:
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:
New in 6
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team