UpSetDelayed

lhs^:=rhs

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

Examples

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Basic Examples  (1)

Scope  (6)

Left-Hand Sides  (5)

An expression with a delayed definition is evaluated every time it is used:

Make definitions for special and general cases using immediate and delayed assignments:

The definition can be associated with a symbol appearing as an argument of the left side:

The definition can be associated with the head of an argument of the left side:

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

Different Kinds of Values  (1)

^:= defines upvalues:

Properties & Relations  (6)

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

A tag defines only one upvalue; ^:= makes definitions for all symbols:

The right side of an immediate definition is evaluated when the definition is made:

The right side of a delayed definition is evaluated each time the definition is used:

Definitions with the same left side overwrite earlier ones:

Definition prints definitions associated with a symbol:

Information prints various information about a symbol, including any definitions:

UpValues returns a list of rules corresponding to any upvalues defined:

Delayed assignment introduces a scope that is not affected by global variables:

Immediate assignment does not introduce a scope:

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

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2024_upsetdelayed, author="Wolfram Research", title="{UpSetDelayed}", year="1988", howpublished="\url{https://reference.wolfram.com/language/ref/UpSetDelayed.html}", note=[Accessed: 03-December-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_upsetdelayed, organization={Wolfram Research}, title={UpSetDelayed}, year={1988}, url={https://reference.wolfram.com/language/ref/UpSetDelayed.html}, note=[Accessed: 03-December-2024 ]}