gives the Euclidean distance between vectors u and v.
- EuclideanDistance[u,v] is equivalent to Norm[u-v]. »
- EuclideanDistance can be used with symbolic vectors in GeometricScene.
Examplesopen allclose all
Basic Examples (2)
Properties & Relations (7)
EuclideanDistance is equivalent to Norm of a difference:
The square of EuclideanDistance is SquaredEuclideanDistance:
EuclideanDistance is greater than or equal to ChessboardDistance:
CosineDistance includes a dot product scaled by Euclidean distances from the origin:
CorrelationDistance includes a dot product scaled by Euclidean distances from means:
StandardDeviation as a EuclideanDistance from the Mean:
EuclideanDistance computed from RootMeanSquare of a difference:
Wolfram Research (2007), EuclideanDistance, Wolfram Language function, https://reference.wolfram.com/language/ref/EuclideanDistance.html.
Wolfram Language. 2007. "EuclideanDistance." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/EuclideanDistance.html.
Wolfram Language. (2007). EuclideanDistance. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/EuclideanDistance.html