ChessboardDistance[u,v]
给出向量 u 和 v 之间的棋盘、切比雪夫或 sup 范数距离.
ChessboardDistance
ChessboardDistance[u,v]
给出向量 u 和 v 之间的棋盘、切比雪夫或 sup 范数距离.
更多信息
- 棋盘距离实际上是所有维度上的最大差异.
- ChessboardDistance[u,v] 等价于 Max[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 (1)
属性和关系 (5)
ChessboardDistance[{a, b, c}, {x, y, z}]Max[Abs[{a, b, c} - {x, y, z}]]d1 = ChessboardDistance[{a, b}, {a, c}]d2 = ChessboardDistance[{a, c}, {d, c}]d3 = ChessboardDistance[{a, b}, {d, c}]Simplify[d3 <= d1 + d2]ChessboardDistance 等价于差值的 Norm :
ChessboardDistance[{a, b, c}, {x, y, z}]Norm[{a, b, c} - {x, y, z}, Infinity]ChessboardDistance 小于或等于 ManhattanDistance:
u = {a, b, c};
v = {x, y, z};Simplify[ChessboardDistance[u, v] ≤ ManhattanDistance[u, v]]ChessboardDistance 小于或等于 EuclideanDistance:
u = {a, b, c};
v = {x, y, z};Simplify[ChessboardDistance[u, v] ≤ EuclideanDistance[u, v]]技术笔记
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- 把数据划分为聚类
相关指南
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- 距离和相似度测量
文本
Wolfram Research (2007),ChessboardDistance,Wolfram 语言函数,https://reference.wolfram.com/language/ref/ChessboardDistance.html.
CMS
Wolfram 语言. 2007. "ChessboardDistance." Wolfram 语言与系统参考资料中心. Wolfram Research. https://reference.wolfram.com/language/ref/ChessboardDistance.html.
APA
Wolfram 语言. (2007). ChessboardDistance. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/ref/ChessboardDistance.html 年
BibTeX
@misc{reference.wolfram_2026_chessboarddistance, author="Wolfram Research", title="{ChessboardDistance}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/ChessboardDistance.html}", note=[Accessed: 13-September-2026]}
BibLaTeX
@online{reference.wolfram_2026_chessboarddistance, organization={Wolfram Research}, title={ChessboardDistance}, year={2007}, url={https://reference.wolfram.com/language/ref/ChessboardDistance.html}, note=[Accessed: 13-September-2026]}