L∞infinite/Chebyshev/Tchebychev/Maximum Distance Metric
- is a distance metric (𝑑) defined as 𝑑(𝑢̅,𝑣̅) = 𝐿∞ = ||𝑢̅-𝑣̅||∞ = [ 𝛴1≤𝑖≤𝑛|𝑢̅𝑖-𝑣̅𝑖|∞ ](1/∞) = 𝑚𝑎𝑥(|𝑢̅𝑖-𝑣̅𝑖|) where 𝑢̅,𝑣̅are vectors in ℝ𝑛
- for instance, if we have two 2D vectors (𝑥1, 𝑦1) and (𝑥2, 𝑦2), the Chebyshev distance is 𝑚𝑎𝑥(|𝑦1 - 𝑦2|, |𝑥1 - 𝑥2|)
- utilizes the 𝐿∞ Norm