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RussellRaoDissimilarity
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RussellRaoDissimilarity

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gives the Russell–Rao dissimilarity between Boolean vectors u and v.

Details

Examples

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

Russell–Rao dissimilarity between two Boolean vectors:

In[1]:=1
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https://wolfram.com/xid/008k17wfw35tgl2hy008cbm-lcr4jx
Out[1]=1

The elements can also be True and False:

In[1]:=1
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https://wolfram.com/xid/008k17wfw35tgl2hy008cbm-ewina4
Out[1]=1

Scope  (2)Survey of the scope of standard use cases

Compute dissimilarity between any 0, 1 vectors of equal length:

In[1]:=1
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https://wolfram.com/xid/008k17wfw35tgl2hy008cbm-icyapu
Out[1]=1

Compute dissimilarity between any True, False vectors of equal length:

In[1]:=1
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https://wolfram.com/xid/008k17wfw35tgl2hy008cbm-fmwkc6
Out[1]=1

Properties & Relations  (4)Properties of the function, and connections to other functions

Russell–Rao dissimilarity is bounded by 0 and 1:

In[1]:=1
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https://wolfram.com/xid/008k17wfw35tgl2hy008cbm-b138tf
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/008k17wfw35tgl2hy008cbm-jwv3fr
Out[2]=2

RussellRaoDissimilarity is greater than or equal to JaccardDissimilarity:

In[1]:=1
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https://wolfram.com/xid/008k17wfw35tgl2hy008cbm-b8ukd7
In[2]:=2
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https://wolfram.com/xid/008k17wfw35tgl2hy008cbm-wvna2
Out[2]=2

RussellRaoDissimilarity is greater than or equal to MatchingDissimilarity:

In[1]:=1
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https://wolfram.com/xid/008k17wfw35tgl2hy008cbm-j3odpx
In[2]:=2
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https://wolfram.com/xid/008k17wfw35tgl2hy008cbm-djo78b
Out[2]=2

RussellRaoDissimilarity is greater than or equal to DiceDissimilarity:

In[1]:=1
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https://wolfram.com/xid/008k17wfw35tgl2hy008cbm-26i33
In[2]:=2
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https://wolfram.com/xid/008k17wfw35tgl2hy008cbm-g8g1c2
Out[2]=2
Wolfram Research (2007), RussellRaoDissimilarity, Wolfram Language function, https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html.
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Wolfram Research (2007), RussellRaoDissimilarity, Wolfram Language function, https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html.

Text

Wolfram Research (2007), RussellRaoDissimilarity, Wolfram Language function, https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html.

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Wolfram Research (2007), RussellRaoDissimilarity, Wolfram Language function, https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html.

CMS

Wolfram Language. 2007. "RussellRaoDissimilarity." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html.

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Wolfram Language. 2007. "RussellRaoDissimilarity." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html.

APA

Wolfram Language. (2007). RussellRaoDissimilarity. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html

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Wolfram Language. (2007). RussellRaoDissimilarity. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html

BibTeX

@misc{reference.wolfram_2025_russellraodissimilarity, author="Wolfram Research", title="{RussellRaoDissimilarity}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html}", note=[Accessed: 29-March-2025 ]}

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@misc{reference.wolfram_2025_russellraodissimilarity, author="Wolfram Research", title="{RussellRaoDissimilarity}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html}", note=[Accessed: 29-March-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_russellraodissimilarity, organization={Wolfram Research}, title={RussellRaoDissimilarity}, year={2007}, url={https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html}, note=[Accessed: 29-March-2025 ]}

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@online{reference.wolfram_2025_russellraodissimilarity, organization={Wolfram Research}, title={RussellRaoDissimilarity}, year={2007}, url={https://reference.wolfram.com/language/ref/RussellRaoDissimilarity.html}, note=[Accessed: 29-March-2025 ]}