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EmptyRegion[n]

represents the empty subset of .

Examples  
Basic Examples  
Scope  
Regions  
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EmptyRegion

EmptyRegion[n]

represents the empty subset of .

Examples

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Basic Examples  (2)

Embedding dimension:

Region membership condition:

Scope  (8)

Regions  (8)

Embedding dimension:

Geometric dimension:

Point membership test:

Get conditions for point membership:

Distance from a point:

Signed distance from a point:

Nearest point in the region:

An empty region is bounded:

Integrate over an empty region:

Optimize over it:

Solve over an empty region:

Wolfram Research (2014), EmptyRegion, Wolfram Language function, https://reference.wolfram.com/language/ref/EmptyRegion.html.

Text

Wolfram Research (2014), EmptyRegion, Wolfram Language function, https://reference.wolfram.com/language/ref/EmptyRegion.html.

CMS

Wolfram Language. 2014. "EmptyRegion." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/EmptyRegion.html.

APA

Wolfram Language. (2014). EmptyRegion. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/EmptyRegion.html

BibTeX

@misc{reference.wolfram_2025_emptyregion, author="Wolfram Research", title="{EmptyRegion}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/EmptyRegion.html}", note=[Accessed: 09-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_emptyregion, organization={Wolfram Research}, title={EmptyRegion}, year={2014}, url={https://reference.wolfram.com/language/ref/EmptyRegion.html}, note=[Accessed: 09-August-2025]}