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##

represents the sequence of arguments supplied to a pure function.

##n

represents the sequence of arguments supplied to a pure function, starting with the n ^(th) argument.

Details
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Examples  
Basic Examples  
Scope  
Applications  
Properties & Relations  
Possible Issues  
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SlotSequence

##

represents the sequence of arguments supplied to a pure function.

##n

represents the sequence of arguments supplied to a pure function, starting with the n ^(th) argument.

Details

  • ## is used to represent sequences of arguments in pure functions of the form body& or Function[body].
  • ## is equivalent to ##1 or SlotSequence[1]. »
  • ##n is equivalent to SlotSequence[n]. n must be a positive integer. »
  • A sequence of arguments supplied to a pure function is "spliced" into the body of the function wherever ## and so on appear.

Examples

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Basic Examples  (2)

## represents the complete sequence of arguments supplied to the pure function:

Wolfram Language code: f[x, ##, y, ##]&[a, b, c, d]

Start with the second argument:

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

Scope  (2)

## is short for ##1, all arguments of the function:

Wolfram Language code: {##}&[a, b, c]
Wolfram Language code: {##1}&[a, b, c]

##2 stands for all arguments starting with the second:

Wolfram Language code: {##2}&[a, b, c]

Applications  (2)

Programmatically insert a list of iterators into a Table:

Wolfram Language code: Table[a[i, j], ##]&@@{{i, 3}, {j, 2}}

Numerically integrate over 1000 variables:

Wolfram Language code: ξ = Array[x, {1000}]; f = 1 / ξ. RandomReal[1, 1000]; lims = Map[{#, 0, 1}&, ξ];
Wolfram Language code: Short[f, 5]
Wolfram Language code: NIntegrate[f, ##]&@@lims

Properties & Relations  (2)

The raw object corresponding to ## is a Sequence:

Wolfram Language code: ##&[a, b, c, d]

#n stands for a single argument:

Wolfram Language code: {#1, #2, #3}&[a, b, c]
Wolfram Language code: {##}&[a, b, c]

Possible Issues  (1)

If too few arguments are provided, a message is generated:

Wolfram Language code: f[##5]&[a, b, c]
Wolfram Language code: f[##5]&[a, b, c, d]
Wolfram Research (1988), SlotSequence, Wolfram Language function, https://reference.wolfram.com/language/ref/SlotSequence.html.

Text

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

CMS

Wolfram Language. 1988. "SlotSequence." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SlotSequence.html.

APA

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

BibTeX

@misc{reference.wolfram_2026_slotsequence, author="Wolfram Research", title="{SlotSequence}", year="1988", howpublished="\url{https://reference.wolfram.com/language/ref/SlotSequence.html}", note=[Accessed: 12-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_slotsequence, organization={Wolfram Research}, title={SlotSequence}, year={1988}, url={https://reference.wolfram.com/language/ref/SlotSequence.html}, note=[Accessed: 12-June-2026]}