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SquaredEuclideanDistance

SquaredEuclideanDistance

SquaredEuclideanDistance[u,v]

gives the squared Euclidean distance between vectors u and v.

Details

SquaredEuclideanDistance[u,v] is equivalent to Norm[u-v]². »

Examples

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Basic Examples (2)

Squared Euclidean distance between two vectors:

Squared Euclidean distance between numeric vectors:

Scope (2)

Compute distance between any vectors of equal length:

Compute distance between vectors of any precision:

Applications (2)

Cluster data using squared Euclidean distance:

Demonstrate the triangle inequality:

Properties & Relations (4)

SquaredEuclideanDistance is equivalent to the squared Norm of a difference:

The square root of SquaredEuclideanDistance is EuclideanDistance:

Variance as a SquaredEuclideanDistance from the Mean:

SquaredEuclideanDistance computed from RootMeanSquare of a difference:

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