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PointDensityFunction
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PointDensityFunction

[Experimental]

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represents a function whose values give the density at a given location.

Details

Examples

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Basic Examples  (1)Summary of the most common use cases

Generate PointDensityFunction:

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In[3]:=3
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https://wolfram.com/xid/0c0p283livyb2-pncs4v
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Plot the points:

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In[4]:=4
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https://wolfram.com/xid/0c0p283livyb2-hjiyok
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Out[4]=4

Compute the point density function:

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In[5]:=5
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https://wolfram.com/xid/0c0p283livyb2-1op0xp
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Out[5]=5

Compute the value at a location:

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In[6]:=6
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https://wolfram.com/xid/0c0p283livyb2-vsuaf7
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Out[6]=6

Visualize:

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In[7]:=7
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https://wolfram.com/xid/0c0p283livyb2-u1l2ll
Direct link to example
Out[7]=7

Scope  (3)Survey of the scope of standard use cases

Generate smooth PointDensityFunction:

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In[1]:=1
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https://wolfram.com/xid/0c0p283livyb2-ulxr3l
Direct link to example

Plot the points:

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In[2]:=2
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https://wolfram.com/xid/0c0p283livyb2-ecn8ox
Direct link to example
Out[2]=2

Compute the point density function:

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In[3]:=3
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https://wolfram.com/xid/0c0p283livyb2-fpwevx
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Out[3]=3

Compute the value at a location:

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In[4]:=4
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https://wolfram.com/xid/0c0p283livyb2-84rs6r
Direct link to example
Out[4]=4

Visualize:

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In[5]:=5
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https://wolfram.com/xid/0c0p283livyb2-fhft50
Direct link to example
Out[5]=5

Query PointDensityFunction for useful information:

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In[1]:=1
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https://wolfram.com/xid/0c0p283livyb2-pafypv
Direct link to example
Copy to clipboard.
In[2]:=2
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https://wolfram.com/xid/0c0p283livyb2-6k8pqh
Direct link to example
Out[2]=2
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In[3]:=3
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https://wolfram.com/xid/0c0p283livyb2-es6r7z
Direct link to example
Out[3]=3

Further properties are based on a DataDistribution:

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In[4]:=4
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https://wolfram.com/xid/0c0p283livyb2-onh5c6
Direct link to example
Out[4]=4
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In[5]:=5
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https://wolfram.com/xid/0c0p283livyb2-0045yu
Direct link to example
Out[5]=5

PointDensity properties:

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In[1]:=1
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https://wolfram.com/xid/0c0p283livyb2-bdrymo
Direct link to example
Copy to clipboard.
In[2]:=2
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https://wolfram.com/xid/0c0p283livyb2-p4q6a5
Direct link to example
Out[2]=2
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In[3]:=3
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https://wolfram.com/xid/0c0p283livyb2-iqvi0y
Direct link to example
Out[3]=3

HistogramPointDensity properties:

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In[4]:=4
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https://wolfram.com/xid/0c0p283livyb2-zlc8bn
Direct link to example
Out[4]=4
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In[5]:=5
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https://wolfram.com/xid/0c0p283livyb2-ympg7l
Direct link to example
Out[5]=5
Wolfram Research (2020), PointDensityFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/PointDensityFunction.html.
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Wolfram Research (2020), PointDensityFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/PointDensityFunction.html.

Text

Wolfram Research (2020), PointDensityFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/PointDensityFunction.html.

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Wolfram Research (2020), PointDensityFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/PointDensityFunction.html.

CMS

Wolfram Language. 2020. "PointDensityFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PointDensityFunction.html.

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Wolfram Language. 2020. "PointDensityFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PointDensityFunction.html.

APA

Wolfram Language. (2020). PointDensityFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PointDensityFunction.html

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Wolfram Language. (2020). PointDensityFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PointDensityFunction.html

BibTeX

@misc{reference.wolfram_2025_pointdensityfunction, author="Wolfram Research", title="{PointDensityFunction}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/PointDensityFunction.html}", note=[Accessed: 26-March-2025 ]}

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@misc{reference.wolfram_2025_pointdensityfunction, author="Wolfram Research", title="{PointDensityFunction}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/PointDensityFunction.html}", note=[Accessed: 26-March-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_pointdensityfunction, organization={Wolfram Research}, title={PointDensityFunction}, year={2020}, url={https://reference.wolfram.com/language/ref/PointDensityFunction.html}, note=[Accessed: 26-March-2025 ]}

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@online{reference.wolfram_2025_pointdensityfunction, organization={Wolfram Research}, title={PointDensityFunction}, year={2020}, url={https://reference.wolfram.com/language/ref/PointDensityFunction.html}, note=[Accessed: 26-March-2025 ]}