Metric space

Diameter of a set

In a metric space (𝑋,𝑑) the diameter diam(π‘Œ) of a subset π‘Œ βŠ†π‘‹ is the supremum of the difference between any two points in π‘Œ, anal i.e.

diam(π‘Œ)=sup{𝑑(π‘₯,𝑦):π‘₯,π‘¦βˆˆπ‘Œ}


tidy | en | SemBr