metric_space

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metric space

度量空间metric space是一个度量metric的集合，通常度量metric是定义在某点集上的函数，

metric

度量必须满足下面四个条件

the distance from a point to itself is zero
the distance between two distict point is positive
the distance from A to B is the same as the distance from B to A
the distance from A to B(directly) is less than or equal to the distance from A to B via any third point C

表达

通常我们使用有序对(M,d)来表示度量空间，M是集合，d是集合M上的度量

代更

参考wikipedia