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ReverseApplied
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ReverseApplied

[Experimental]

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

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

Details

Examples

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Basic Examples  (2)Summary of the most common use cases

Reverse the order of arguments:

In[1]:=1
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https://wolfram.com/xid/0b0ldko4bv8-8c6y9v
Out[1]=1

Use reversed numerical order:

In[1]:=1
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https://wolfram.com/xid/0b0ldko4bv8-zpzaaj
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0b0ldko4bv8-z5swb8
Out[2]=2

Scope  (2)Survey of the scope of standard use cases

Reverse all arguments of a function:

In[1]:=1
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https://wolfram.com/xid/0b0ldko4bv8-qypira
Out[1]=1

Reverse the first n arguments of a function:

In[1]:=1
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https://wolfram.com/xid/0b0ldko4bv8-k98wom
Out[1]=1

Reverse the last n arguments of a function:

In[2]:=2
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https://wolfram.com/xid/0b0ldko4bv8-kdcmgu
Out[2]=2

Applications  (1)Sample problems that can be solved with this function

Use non-commutative products with the reversed convention:

In[1]:=1
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https://wolfram.com/xid/0b0ldko4bv8-6aj5rt
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0b0ldko4bv8-rxq48i
Out[2]=2

Properties & Relations  (5)Properties of the function, and connections to other functions

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

In[1]:=1
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https://wolfram.com/xid/0b0ldko4bv8-zohnnn
In[2]:=2
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https://wolfram.com/xid/0b0ldko4bv8-h00r7l
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0b0ldko4bv8-gwd8ch
Out[3]=3

ReverseApplied[f][] returns f[]:

In[1]:=1
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https://wolfram.com/xid/0b0ldko4bv8-kc1il7
Out[1]=1

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

In[1]:=1
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https://wolfram.com/xid/0b0ldko4bv8-herzjk
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0b0ldko4bv8-v6h7hr
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0b0ldko4bv8-ia98mq
Out[3]=3

RightComposition is equivalent to ReverseApplied[Composition]:

In[1]:=1
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https://wolfram.com/xid/0b0ldko4bv8-3os79s
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0b0ldko4bv8-yt3egi
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0b0ldko4bv8-i7cwqb
Out[3]=3

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

In[1]:=1
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https://wolfram.com/xid/0b0ldko4bv8-ftx4on
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0b0ldko4bv8-k4pexz
Out[2]=2
Wolfram Research (2020), ReverseApplied, Wolfram Language function, https://reference.wolfram.com/language/ref/ReverseApplied.html.
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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.

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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.

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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

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

BibTeX

@misc{reference.wolfram_2025_reverseapplied, author="Wolfram Research", title="{ReverseApplied}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/ReverseApplied.html}", note=[Accessed: 19-May-2025 ]}

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@misc{reference.wolfram_2025_reverseapplied, author="Wolfram Research", title="{ReverseApplied}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/ReverseApplied.html}", note=[Accessed: 19-May-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_reverseapplied, organization={Wolfram Research}, title={ReverseApplied}, year={2020}, url={https://reference.wolfram.com/language/ref/ReverseApplied.html}, note=[Accessed: 19-May-2025 ]}

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@online{reference.wolfram_2025_reverseapplied, organization={Wolfram Research}, title={ReverseApplied}, year={2020}, url={https://reference.wolfram.com/language/ref/ReverseApplied.html}, note=[Accessed: 19-May-2025 ]}