is an option for functions such as Nearest that specifies the distance value to assume between any two specified points.
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:
Tech Notes
Related Guides
History
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: 05-December-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: 05-December-2025]}