# ChebyshevDistance

As of Version 7.0, ChebyshevDistance is superseded by ChessboardDistance.

ChebyshevDistance[u,v]

gives the Chebyshev or sup norm distance between vectors u and v.

# Details

• ChebyshevDistance[u,v] is equivalent to Max[Abs[u-v]]. »

# Examples

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## Basic Examples(2)

The Chebyshev distance between two vectors:

Chebyshev distance between numeric vectors:

## Scope(2)

Compute the distance between any vectors of equal length:

Compute the distance between vectors of any precision:

## Applications(2)

Cluster data using Chebyshev distance:

Demonstrate the triangle inequality:

## Properties & Relations(4)

Chebyshev distance is the maximum of absolute differences:

ChebyshevDistance is equivalent to a Norm of a difference:

ChebyshevDistance is less than or equal to ManhattanDistance:

ChebyshevDistance is less than or equal to EuclideanDistance:

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

#### Text

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

#### CMS

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

#### APA

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

#### BibTeX

@misc{reference.wolfram_2024_chebyshevdistance, author="Wolfram Research", title="{ChebyshevDistance}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/ChebyshevDistance.html}", note=[Accessed: 15-July-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_chebyshevdistance, organization={Wolfram Research}, title={ChebyshevDistance}, year={2007}, url={https://reference.wolfram.com/language/ref/ChebyshevDistance.html}, note=[Accessed: 15-July-2024 ]}