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BrayCurtisDistance
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BrayCurtisDistance

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gives the Bray–Curtis distance between vectors u and v.

Details

Examples

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

Bray–Curtis distance between two vectors:

In[1]:=1
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https://wolfram.com/xid/0do8zdr69ic2li4z2-djc62y
Out[1]=1

Bray–Curtis distance between numeric vectors:

In[1]:=1
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https://wolfram.com/xid/0do8zdr69ic2li4z2-dfodtu
Out[1]=1

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

Compute the distance between any vectors of equal length:

In[1]:=1
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https://wolfram.com/xid/0do8zdr69ic2li4z2-icyapu
Out[1]=1

Compute the distance between vectors of any precision:

In[1]:=1
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https://wolfram.com/xid/0do8zdr69ic2li4z2-fmwkc6
Out[1]=1

Applications  (1)Sample problems that can be solved with this function

Cluster data using Bray–Curtis distance:

In[1]:=1
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https://wolfram.com/xid/0do8zdr69ic2li4z2-b2o51i
Out[1]=1

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

Bray–Curtis distance is a ratio of sums of absolute differences and sums:

In[1]:=1
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https://wolfram.com/xid/0do8zdr69ic2li4z2-g7irif
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0do8zdr69ic2li4z2-e22otf
Out[2]=2

Bray–Curtis distance is equivalent to a ratio of norms:

In[1]:=1
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https://wolfram.com/xid/0do8zdr69ic2li4z2-dwdnf9
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0do8zdr69ic2li4z2-mztqe
Out[2]=2

Bray–Curtis distance is a ratio of Manhattan distances:

In[1]:=1
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https://wolfram.com/xid/0do8zdr69ic2li4z2-k6lqbr
In[2]:=2
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https://wolfram.com/xid/0do8zdr69ic2li4z2-gjjim0
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0do8zdr69ic2li4z2-exmdrq
Out[3]=3
Wolfram Research (2007), BrayCurtisDistance, Wolfram Language function, https://reference.wolfram.com/language/ref/BrayCurtisDistance.html.
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Wolfram Research (2007), BrayCurtisDistance, Wolfram Language function, https://reference.wolfram.com/language/ref/BrayCurtisDistance.html.

Text

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

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

CMS

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

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

APA

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

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

BibTeX

@misc{reference.wolfram_2025_braycurtisdistance, author="Wolfram Research", title="{BrayCurtisDistance}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/BrayCurtisDistance.html}", note=[Accessed: 25-April-2025 ]}

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@misc{reference.wolfram_2025_braycurtisdistance, author="Wolfram Research", title="{BrayCurtisDistance}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/BrayCurtisDistance.html}", note=[Accessed: 25-April-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_braycurtisdistance, organization={Wolfram Research}, title={BrayCurtisDistance}, year={2007}, url={https://reference.wolfram.com/language/ref/BrayCurtisDistance.html}, note=[Accessed: 25-April-2025 ]}

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@online{reference.wolfram_2025_braycurtisdistance, organization={Wolfram Research}, title={BrayCurtisDistance}, year={2007}, url={https://reference.wolfram.com/language/ref/BrayCurtisDistance.html}, note=[Accessed: 25-April-2025 ]}