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ReverseApplied[f]

represents a form of f that takes arguments in reverse order so that ReverseApplied[f][x1,…,xn] is equivalent to f[xn,…,x1].

ReverseApplied[f,n]

represents a form of f that reverses the first n arguments before evaluation.

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ReverseApplied

ReverseApplied[f]

represents a form of f that takes arguments in reverse order so that ReverseApplied[f][x1,…,xn] is equivalent to f[xn,…,x1].

ReverseApplied[f,n]

represents a form of f that reverses the first n arguments before evaluation.

Details

Examples

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Basic Examples  (2)

Reverse the order of arguments:

Wolfram Language code: ReverseApplied[f][a, b, c]

Use reversed numerical order:

Wolfram Language code: NumericalOrder[2, 5]
Wolfram Language code: ReverseApplied[NumericalOrder][2, 5]

Scope  (2)

Reverse all arguments of a function:

Wolfram Language code: ReverseApplied[f][a, b, c, d]

Reverse the first n arguments of a function:

Wolfram Language code: ReverseApplied[f, 2][a, b, c, d]

Reverse the last n arguments of a function:

Wolfram Language code: ReverseApplied[f, -2][a, b, c, d]

Applications  (1)

Use non-commutative products with the reversed convention:

Wolfram Language code: PermutationProduct[{2, 3, 4, 1}, {1, 3, 2, 4}]
Wolfram Language code: ReverseApplied[PermutationProduct][{2, 3, 4, 1}, {1, 3, 2, 4}]

Properties & Relations  (5)

ReverseApplied can be built as a combination of Reverse and Apply:

Wolfram Language code: reverseApplied[f_][args___] := Apply[f, Reverse[{args}]]
Wolfram Language code: reverseApplied[f][a, b, c]
Wolfram Language code: ReverseApplied[f][a, b, c]

ReverseApplied[f][] returns f[]:

Wolfram Language code: ReverseApplied[f][]

ReverseSort is equivalent to Sort with ordering function ReverseApplied[Order]:

Wolfram Language code: chars = Characters["computation"]
Wolfram Language code: ReverseSort[chars]
Wolfram Language code: Sort[chars, ReverseApplied[Order]]

RightComposition is equivalent to ReverseApplied[Composition]:

Wolfram Language code: Composition[f, g, h][x]
Wolfram Language code: RightComposition[f, g, h][x]
Wolfram Language code: ReverseApplied[Composition][f, g, h][x]

OperatorApplied[f] is equivalent to a combination of CurryApplied[2] and ReverseApplied[f]:

Wolfram Language code: OperatorApplied[f][x][y]
Wolfram Language code: CurryApplied[2][ReverseApplied[f]][x][y]
Wolfram Research (2020), ReverseApplied, Wolfram Language function, https://reference.wolfram.com/language/ref/ReverseApplied.html.

Text

Wolfram Research (2020), ReverseApplied, Wolfram Language function, https://reference.wolfram.com/language/ref/ReverseApplied.html.

CMS

Wolfram Language. 2020. "ReverseApplied." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ReverseApplied.html.

APA

Wolfram Language. (2020). ReverseApplied. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ReverseApplied.html

BibTeX

@misc{reference.wolfram_2026_reverseapplied, author="Wolfram Research", title="{ReverseApplied}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/ReverseApplied.html}", note=[Accessed: 12-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_reverseapplied, organization={Wolfram Research}, title={ReverseApplied}, year={2020}, url={https://reference.wolfram.com/language/ref/ReverseApplied.html}, note=[Accessed: 12-June-2026]}