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NormalizedSquaredEuclideanDistance[u,v]

gives the normalized squared Euclidean distance between vectors u and v.

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NormalizedSquaredEuclideanDistance

NormalizedSquaredEuclideanDistance[u,v]

gives the normalized squared Euclidean distance between vectors u and v.

Details

Examples

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Basic Examples  (2)

The normalized squared Euclidean distance between two vectors:

The normalized squared Euclidean distance between numeric vectors:

Scope  (2)

Compute the distance between any vectors of equal length:

Compute the distance between vectors of any precision:

Applications  (1)

Cluster data using normalized squared Euclidean distance:

Properties & Relations  (2)

Normalized squared Euclidean distance includes a squared Euclidean distance scaled by norms:

The normalized squared Euclidean distance of two vectors or real numbers is in the range from 0 to 1:

Wolfram Research (2010), NormalizedSquaredEuclideanDistance, Wolfram Language function, https://reference.wolfram.com/language/ref/NormalizedSquaredEuclideanDistance.html.

Text

Wolfram Research (2010), NormalizedSquaredEuclideanDistance, Wolfram Language function, https://reference.wolfram.com/language/ref/NormalizedSquaredEuclideanDistance.html.

CMS

Wolfram Language. 2010. "NormalizedSquaredEuclideanDistance." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/NormalizedSquaredEuclideanDistance.html.

APA

Wolfram Language. (2010). NormalizedSquaredEuclideanDistance. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/NormalizedSquaredEuclideanDistance.html

BibTeX

@misc{reference.wolfram_2025_normalizedsquaredeuclideandistance, author="Wolfram Research", title="{NormalizedSquaredEuclideanDistance}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/NormalizedSquaredEuclideanDistance.html}", note=[Accessed: 15-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_normalizedsquaredeuclideandistance, organization={Wolfram Research}, title={NormalizedSquaredEuclideanDistance}, year={2010}, url={https://reference.wolfram.com/language/ref/NormalizedSquaredEuclideanDistance.html}, note=[Accessed: 15-August-2025]}