DistanceEuclideanDistance Method

Computes the Euclidean distance between two data sets (2 norm).

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

Syntax

public static double EuclideanDistance(
	DoubleVector data1,
	DoubleVector data2
)

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

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

static member EuclideanDistance : 
        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

Euclidean distance is simply the geometric distance in the multidimensional space. This distance is computed as:

Copy

distance( x, y ) = sqrt( sum ( xi - yi )^2 )

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