BrayCurtisDistance
BrayCurtisDistance[u,v]
gives the Bray–Curtis distance between vectors u and v.
Examples
open all close allBasic Examples (2)
Scope (2)
Applications (1)
Properties & Relations (3)
Bray–Curtis distance is a ratio of sums of absolute differences and sums:
BrayCurtisDistance[{a, b, c}, {x, y, z}]Total[Abs[{a, b, c} - {x, y, z}]] / Total[Abs[{a, b, c} + {x, y, z}]]Bray–Curtis distance is equivalent to a ratio of norms:
BrayCurtisDistance[{a, b, c}, {x, y, z}]Norm[{a, b, c} - {x, y, z}, 1] / Norm[{a, b, c} + {x, y, z}, 1]Bray–Curtis distance is a ratio of Manhattan distances:
u = {a, b, c};
v = {x, y, z};BrayCurtisDistance[u, v]ManhattanDistance[u, v] / ManhattanDistance[u, -v]Text
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.
APA
Wolfram Language. (2007). BrayCurtisDistance. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/BrayCurtisDistance.html