DistanceCityBlockDistance Method

Compute the city-block (Manhattan) distance between two data sets (1 norm).

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

public static double CityBlockDistance(
	DoubleVector data1,
	DoubleVector data2
)

Public Shared Function CityBlockDistance ( 
	data1 As DoubleVector,
	data2 As DoubleVector
) As Double

public:
static double CityBlockDistance(
	DoubleVector^ data1, 
	DoubleVector^ data2
)

static member CityBlockDistance : 
        data1 : DoubleVector * 
        data2 : DoubleVector -> float

Parameters

data1 DoubleVector: The first data set.
data2 DoubleVector: The second data set.

Return Value

Double
The distance between data1 and data2.

Exceptions

Exception	Condition
MismatchedSizeException	Thrown if the given data sets do not have equal lengths.

Remarks

This distance is computed as:

Copy

distance( x, y ) = sum ( | xi - yi | )

In most cases, the city-block distance measure yields results similar to the simple Euclidean distance. Note, however, that the effect of outliers is dampened, since they are not squared.
Missing values are allowed. Pairs of elements are excluded from the distance measure when their comparison returns NaN. If all pairs are excluded, NaN is returned for the distance measure.

Reference

Distance Class

CenterSpace.NMath.Core Namespace