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BrayCurtisDistance[u,v]

给出向量 u 和 v 之间的 Bray‐Curtis 距离.

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BrayCurtisDistance

BrayCurtisDistance[u,v]

给出向量 u 和 v 之间的 Bray‐Curtis 距离.

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范例

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基本范例  (2)

两个向量之间的 Bray‐Curtis 距离：

Wolfram Language code: BrayCurtisDistance[{a, b, c}, {x, y, z}]

数值向量之间的 Bray‐Curtis 距离：

Wolfram Language code: BrayCurtisDistance[{1, 2, 3}, {2, 4, 6}]

范围  (2)

计算任何等长度向量之间的距离：

Wolfram Language code: BrayCurtisDistance[RandomReal[5, 100], RandomReal[5, 100]]

计算任何精度的向量之间的距离：

Wolfram Language code: BrayCurtisDistance[N[{1, 5, 2, 3, 10}, 50], N[{4, 15, 20, 5, 5}, 50]]

应用  (1)

利用 Bray‐Curtis 距离的群集数据：

Wolfram Language code: FindClusters[{{2, 3}, {5, 10}, {4, 5}, {2, 2}}, DistanceFunction -> BrayCurtisDistance]

属性和关系  (3)

Bray–Curtis 距离是差与和的绝对值之和的比率：

Wolfram Language code: BrayCurtisDistance[{a, b, c}, {x, y, z}]
Wolfram Language code: Total[Abs[{a, b, c} - {x, y, z}]] / Total[Abs[{a, b, c} + {x, y, z}]]

Bray‐Curtis 距离等值于范数的比率：

Wolfram Language code: BrayCurtisDistance[{a, b, c}, {x, y, z}]
Wolfram Language code: Norm[{a, b, c} - {x, y, z}, 1] / Norm[{a, b, c} + {x, y, z}, 1]

Bray‐Curtis 距离是 Manhattan 距离的比率：

Wolfram Language code: u = {a, b, c}; v = {x, y, z};
Wolfram Language code: BrayCurtisDistance[u, v]
Wolfram Language code: ManhattanDistance[u, v] / ManhattanDistance[u, -v]
Wolfram Research (2007)，BrayCurtisDistance，Wolfram 语言函数，https://reference.wolfram.com/language/ref/BrayCurtisDistance.html.

文本

Wolfram Research (2007)，BrayCurtisDistance，Wolfram 语言函数，https://reference.wolfram.com/language/ref/BrayCurtisDistance.html.

CMS

Wolfram 语言. 2007. "BrayCurtisDistance." Wolfram 语言与系统参考资料中心. Wolfram Research. https://reference.wolfram.com/language/ref/BrayCurtisDistance.html.

APA

Wolfram 语言. (2007). BrayCurtisDistance. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/ref/BrayCurtisDistance.html 年

BibTeX

@misc{reference.wolfram_2026_braycurtisdistance, author="Wolfram Research", title="{BrayCurtisDistance}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/BrayCurtisDistance.html}", note=[Accessed: 09-August-2026]}

BibLaTeX

@online{reference.wolfram_2026_braycurtisdistance, organization={Wolfram Research}, title={BrayCurtisDistance}, year={2007}, url={https://reference.wolfram.com/language/ref/BrayCurtisDistance.html}, note=[Accessed: 09-August-2026]}