# ChessboardDistance

ChessboardDistance[u,v]

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

# Examples

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## Basic Examples(2)

The chessboard distance between two vectors:

Chessboard 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 chessboard distance:

## Properties & Relations(5)

Chessboard distance is the maximum of absolute differences:

Demonstrate the triangle inequality:

ChessboardDistance is equivalent to a Norm of a difference:

ChessboardDistance is less than or equal to ManhattanDistance:

ChessboardDistance is less than or equal to EuclideanDistance:

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

#### Text

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

#### CMS

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

#### APA

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

#### BibTeX

@misc{reference.wolfram_2024_chessboarddistance, author="Wolfram Research", title="{ChessboardDistance}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/ChessboardDistance.html}", note=[Accessed: 25-June-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_chessboarddistance, organization={Wolfram Research}, title={ChessboardDistance}, year={2007}, url={https://reference.wolfram.com/language/ref/ChessboardDistance.html}, note=[Accessed: 25-June-2024 ]}