$Assumptions

$Assumptions

is the default setting for the Assumptions option used in such functions as Simplify, Refine, and Integrate.

Details

Examples

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Basic Examples  (1)

Set global assumptions:

The assumptions are now used by Refine and Integrate:

Locally add assumptions:

Locally change assumptions:

Remove the global assumptions:

Scope  (3)

Specify assumptions for simplifiers:

Specify assumptions for Integrate and in integral transforms:

Specify assumptions for Limit and Series:

Properties & Relations  (1)

Assuming locally adds assumptions to $Assumptions:

Possible Issues  (1)

When Assumptions option is set directly, assumptions given with $Assumptions are not used:

Wolfram Research (2003), $Assumptions, Wolfram Language function, https://reference.wolfram.com/language/ref/$Assumptions.html.

Text

Wolfram Research (2003), $Assumptions, Wolfram Language function, https://reference.wolfram.com/language/ref/$Assumptions.html.

BibTeX

@misc{reference.wolfram_2021_$assumptions, author="Wolfram Research", title="{$Assumptions}", year="2003", howpublished="\url{https://reference.wolfram.com/language/ref/$Assumptions.html}", note=[Accessed: 22-October-2021 ]}

BibLaTeX

@online{reference.wolfram_2021_$assumptions, organization={Wolfram Research}, title={$Assumptions}, year={2003}, url={https://reference.wolfram.com/language/ref/$Assumptions.html}, note=[Accessed: 22-October-2021 ]}

CMS

Wolfram Language. 2003. "$Assumptions." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/$Assumptions.html.

APA

Wolfram Language. (2003). $Assumptions. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/$Assumptions.html