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lhs^=rhs

assigns rhs to be the value of lhs, and associates the assignment with symbols that occur at level one in lhs.

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UpSet

lhs^=rhs

assigns rhs to be the value of lhs, and associates the assignment with symbols that occur at level one in lhs.

Details

  • f[g[x]]=value makes an assignment associated with f. f[g[x]]^=value makes an assignment associated instead with g.
  • UpSet associates an assignment with all the distinct symbols that occur either directly as arguments of lhs, or as the heads of arguments of lhs.

Examples

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Basic Examples  (1)

Define a symbolic property of a symbol:

Scope  (2)

^= defines upvalues:

If several symbols appear in the left-hand side, upvalues for all of them are defined:

Applications  (1)

Build a database of exchange rates:

Properties & Relations  (2)

^= defines upvalues in the same way as using a tag does:

^= defines upvalues; = defines downvalues:

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

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2025_upset, author="Wolfram Research", title="{UpSet}", year="1988", howpublished="\url{https://reference.wolfram.com/language/ref/UpSet.html}", note=[Accessed: 15-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_upset, organization={Wolfram Research}, title={UpSet}, year={1988}, url={https://reference.wolfram.com/language/ref/UpSet.html}, note=[Accessed: 15-August-2025]}