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RotateLeft[expr,n]

cycles the elements in expr n positions to the left.

RotateLeft[expr]

cycles one position to the left.

RotateLeft[expr,{n1,n2,…}]

cycles elements at successive levels ni positions to the left.

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RotateLeft

RotateLeft[expr,n]

cycles the elements in expr n positions to the left.

RotateLeft[expr]

cycles one position to the left.

RotateLeft[expr,{n1,n2,…}]

cycles elements at successive levels ni positions to the left.

Details

Examples

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Basic Examples  (4)

Rotate two positions to the left:

Rotate one position to the left:

Rotate Association one position to the left:

Rotate Association on the first and second levels:

Generalizations & Extensions  (2)

Rotate one position left at the first level, and right at the second level:

Rotate an expression with any head:

Applications  (4)

Successively rotate a list left:

Rotate successive rows of a matrix by their row number:

Rotate a 2D image:

Rotate operands:

Wolfram Research (1988), RotateLeft, Wolfram Language function, https://reference.wolfram.com/language/ref/RotateLeft.html (updated 2003).

Text

Wolfram Research (1988), RotateLeft, Wolfram Language function, https://reference.wolfram.com/language/ref/RotateLeft.html (updated 2003).

CMS

Wolfram Language. 1988. "RotateLeft." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2003. https://reference.wolfram.com/language/ref/RotateLeft.html.

APA

Wolfram Language. (1988). RotateLeft. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RotateLeft.html

BibTeX

@misc{reference.wolfram_2025_rotateleft, author="Wolfram Research", title="{RotateLeft}", year="2003", howpublished="\url{https://reference.wolfram.com/language/ref/RotateLeft.html}", note=[Accessed: 31-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_rotateleft, organization={Wolfram Research}, title={RotateLeft}, year={2003}, url={https://reference.wolfram.com/language/ref/RotateLeft.html}, note=[Accessed: 31-August-2025]}