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FullRegion
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FullRegion

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represents the full region .

Examples

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Basic Examples  (2)Summary of the most common use cases

Region dimension:

In[1]:=1
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https://wolfram.com/xid/0cg39qni6-cehvfk
Out[1]=1

Region membership condition:

In[1]:=1
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https://wolfram.com/xid/0cg39qni6-cuebbc
Out[1]=1

Scope  (9)Survey of the scope of standard use cases

Regions  (9)

Embedding dimension:

In[1]:=1
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https://wolfram.com/xid/0cg39qni6-y220
Out[1]=1

Geometric dimension:

In[2]:=2
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https://wolfram.com/xid/0cg39qni6-bx9tom
Out[2]=2

Point membership test:

In[1]:=1
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https://wolfram.com/xid/0cg39qni6-x1qns
Out[1]=1

Get conditions for point membership:

In[2]:=2
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https://wolfram.com/xid/0cg39qni6-gdqgdl
Out[2]=2

The measure of a FullRegion is infinite:

In[1]:=1
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https://wolfram.com/xid/0cg39qni6-7f6oy
Out[1]=1

And its centroid is indeterminate:

In[2]:=2
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https://wolfram.com/xid/0cg39qni6-bbv9rt
Out[2]=2

Distance from a point:

In[1]:=1
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https://wolfram.com/xid/0cg39qni6-bjikjq
Out[1]=1

Signed distance from a point:

In[2]:=2
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https://wolfram.com/xid/0cg39qni6-bm4ed
Out[2]=2

Nearest point in the region:

In[1]:=1
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https://wolfram.com/xid/0cg39qni6-et4yza
Out[1]=1

A full region is unbounded:

In[1]:=1
✖
https://wolfram.com/xid/0cg39qni6-b5d6xy
Out[1]=1

And its range is necessarily infinite in all dimensions:

In[2]:=2
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https://wolfram.com/xid/0cg39qni6-xc9et
Out[2]=2

Integrate over a full region:

In[1]:=1
✖
https://wolfram.com/xid/0cg39qni6-banwkr
Out[1]=1

Optimize over a full region:

In[1]:=1
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https://wolfram.com/xid/0cg39qni6-hyz4dq
Out[1]=1

Solve equations in a full region:

In[1]:=1
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https://wolfram.com/xid/0cg39qni6-bximqe
In[2]:=2
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https://wolfram.com/xid/0cg39qni6-cn6ygq
Out[2]=2

Properties & Relations  (3)Properties of the function, and connections to other functions

FullRegion is equivalent to an InfiniteLine in 1D:

In[1]:=1
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https://wolfram.com/xid/0cg39qni6-hi67k9
In[3]:=3
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https://wolfram.com/xid/0cg39qni6-mrhak0
Out[3]=3

FullRegion is equivalent to an InfinitePlane in 2D:

In[1]:=1
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https://wolfram.com/xid/0cg39qni6-fam75
In[2]:=2
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https://wolfram.com/xid/0cg39qni6-6t1z49
Out[2]=2

FullRegion can be represented as a ConicHullRegion in any dimension:

In[1]:=1
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https://wolfram.com/xid/0cg39qni6-md7j9m
In[2]:=2
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https://wolfram.com/xid/0cg39qni6-jutccp
Out[2]=2
Wolfram Research (2014), FullRegion, Wolfram Language function, https://reference.wolfram.com/language/ref/FullRegion.html.
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Wolfram Research (2014), FullRegion, Wolfram Language function, https://reference.wolfram.com/language/ref/FullRegion.html.

Text

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

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

CMS

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

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

APA

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

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

BibTeX

@misc{reference.wolfram_2025_fullregion, author="Wolfram Research", title="{FullRegion}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/FullRegion.html}", note=[Accessed: 21-June-2025 ]}

✖
@misc{reference.wolfram_2025_fullregion, author="Wolfram Research", title="{FullRegion}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/FullRegion.html}", note=[Accessed: 21-June-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_fullregion, organization={Wolfram Research}, title={FullRegion}, year={2014}, url={https://reference.wolfram.com/language/ref/FullRegion.html}, note=[Accessed: 21-June-2025 ]}

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@online{reference.wolfram_2025_fullregion, organization={Wolfram Research}, title={FullRegion}, year={2014}, url={https://reference.wolfram.com/language/ref/FullRegion.html}, note=[Accessed: 21-June-2025 ]}