ManhattanDistance
ManhattanDistance
ManhattanDistance[u,v]
给出向量 u 和 v 之间的曼哈顿距离或 "城市区段" 距离.
更多信息
- 曼哈顿距离实际上是所有维度上的差的总和.
- ManhattanDistance[u,v] 等价于 Total[Abs[u-v]]. »
范例
打开所有单元 关闭所有单元基本范例 (2)
范围 (2)
应用 (2)
FindClusters[{{2, 3}, {5, 10}, {4, 5}, {2, 2}}, DistanceFunction -> ManhattanDistance]d1 = ManhattanDistance[{a, b}, {a, c}]d2 = ManhattanDistance[{a, c}, {d, c}]d3 = ManhattanDistance[{a, b}, {d, c}]Simplify[d3 <= d1 + d2]属性和关系 (5)
ManhattanDistance[{a, b, c}, {x, y, z}]Total[Abs[{a, b, c} - {x, y, z}]]ManhattanDistance 等价于一个差值的 Norm：
ManhattanDistance[{a, b, c}, {x, y, z}]Norm[{a, b, c} - {x, y, z}, 1]ManhattanDistance 大于或等于 ChessboardDistance：
u = {a, b, c};
v = {x, y, z};Simplify[ManhattanDistance[u, v] ≥ ChessboardDistance[u, v]]BrayCurtisDistance 是曼哈顿距离的一个比值：
u = {a, b, c};
v = {x, y, z};ManhattanDistance[u, v] / ManhattanDistance[u, -v]BrayCurtisDistance[u, v]MeanDeviation 作为 Mean 中一个有刻度的 ManhattanDistance：
data = {a, b, c}mean = Table[Mean[data], {Length[data]}]MeanDeviation[data]ManhattanDistance[data, mean] / Length[data]
Wolfram Research (2007)，ManhattanDistance，Wolfram 语言函数，https://reference.wolfram.com/language/ref/ManhattanDistance.html.
文本
Wolfram Research (2007)，ManhattanDistance，Wolfram 语言函数，https://reference.wolfram.com/language/ref/ManhattanDistance.html.
CMS
Wolfram 语言. 2007. "ManhattanDistance." Wolfram 语言与系统参考资料中心. Wolfram Research. https://reference.wolfram.com/language/ref/ManhattanDistance.html.
APA
Wolfram 语言. (2007). ManhattanDistance. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/ref/ManhattanDistance.html 年