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DistanceFunction

is an option for functions such as Nearest that specifies the distance value to assume between any two specified points.

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DistanceFunction

DistanceFunction

is an option for functions such as Nearest that specifies the distance value to assume between any two specified points.

Details

  • DistanceFunction->f specifies that the distance assumed between x and y should be f[x,y].

Examples

Basic Examples  (2)

Find points closest to {5,5} using ChessboardDistance:

Use the default distance:

Find clusters in Boolean data using DiceDissimilarity:

Clusters obtained with the default distance function:

Wolfram Research (2007), DistanceFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/DistanceFunction.html.

Text

Wolfram Research (2007), DistanceFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/DistanceFunction.html.

CMS

Wolfram Language. 2007. "DistanceFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/DistanceFunction.html.

APA

Wolfram Language. (2007). DistanceFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/DistanceFunction.html

BibTeX

@misc{reference.wolfram_2025_distancefunction, author="Wolfram Research", title="{DistanceFunction}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/DistanceFunction.html}", note=[Accessed: 16-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_distancefunction, organization={Wolfram Research}, title={DistanceFunction}, year={2007}, url={https://reference.wolfram.com/language/ref/DistanceFunction.html}, note=[Accessed: 16-August-2025]}