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TargetFunctions
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TargetFunctions

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is an option for functions such as ComplexExpand and FindDistribution that specifies what functions to attempt to generate in the output.

Examples

Basic Examples  (4)Summary of the most common use cases

This gives an answer in terms of Re[z] and Im[z]:

In[1]:=1
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https://wolfram.com/xid/0k70wt3iadwnn-ekv4lp
Out[1]=1

With TargetFunctions->{Abs, Arg}, the answer is given in terms of Abs[z] and Arg[z]:

In[1]:=1
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https://wolfram.com/xid/0k70wt3iadwnn-i6i3wv
Out[1]=1

Use Conjugate as a target function:

In[1]:=1
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https://wolfram.com/xid/0k70wt3iadwnn-ek2gaj
Out[1]=1

Generate data sampled from a mixture distribution:

In[1]:=1
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https://wolfram.com/xid/0k70wt3iadwnn-n1xt3w
In[2]:=2
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https://wolfram.com/xid/0k70wt3iadwnn-k0phib

Estimate the best distribution from this data:

In[3]:=3
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https://wolfram.com/xid/0k70wt3iadwnn-ep94wl
Out[3]=3

With TargetFunctions->{GammaDistribution,NormalDistribution}, the answer is given in terms of gamma distributions and normal distributions:

In[4]:=4
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https://wolfram.com/xid/0k70wt3iadwnn-32ish3
Out[4]=4

With TargetFunctions->{GammaDistribution}, the answer is given in terms of gamma distributions:

In[5]:=5
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https://wolfram.com/xid/0k70wt3iadwnn-2ezcpm
Out[5]=5

Compare the PDFs for the three distributions:

In[6]:=6
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https://wolfram.com/xid/0k70wt3iadwnn-tlm92j
Out[6]=6
Wolfram Research (1996), TargetFunctions, Wolfram Language function, https://reference.wolfram.com/language/ref/TargetFunctions.html.
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Wolfram Research (1996), TargetFunctions, Wolfram Language function, https://reference.wolfram.com/language/ref/TargetFunctions.html.

Text

Wolfram Research (1996), TargetFunctions, Wolfram Language function, https://reference.wolfram.com/language/ref/TargetFunctions.html.

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Wolfram Research (1996), TargetFunctions, Wolfram Language function, https://reference.wolfram.com/language/ref/TargetFunctions.html.

CMS

Wolfram Language. 1996. "TargetFunctions." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/TargetFunctions.html.

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Wolfram Language. 1996. "TargetFunctions." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/TargetFunctions.html.

APA

Wolfram Language. (1996). TargetFunctions. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/TargetFunctions.html

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Wolfram Language. (1996). TargetFunctions. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/TargetFunctions.html

BibTeX

@misc{reference.wolfram_2025_targetfunctions, author="Wolfram Research", title="{TargetFunctions}", year="1996", howpublished="\url{https://reference.wolfram.com/language/ref/TargetFunctions.html}", note=[Accessed: 06-April-2025 ]}

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@misc{reference.wolfram_2025_targetfunctions, author="Wolfram Research", title="{TargetFunctions}", year="1996", howpublished="\url{https://reference.wolfram.com/language/ref/TargetFunctions.html}", note=[Accessed: 06-April-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_targetfunctions, organization={Wolfram Research}, title={TargetFunctions}, year={1996}, url={https://reference.wolfram.com/language/ref/TargetFunctions.html}, note=[Accessed: 06-April-2025 ]}

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@online{reference.wolfram_2025_targetfunctions, organization={Wolfram Research}, title={TargetFunctions}, year={1996}, url={https://reference.wolfram.com/language/ref/TargetFunctions.html}, note=[Accessed: 06-April-2025 ]}