Why the p-norms $p{=}1$, $p{=}2$ and $p{=}\infty$ are so special? An
answer based on spatial uniformity
Why the p-norms $p{=}1$, $p{=}2$ and $p{=}\infty$ are so special? An
answer based on spatial uniformity
Among all metrics based on p-norms, the Manhattan (p=1), euclidean (p=2) and Chebyshev distances (p=infinity) are the most widely used for their interpretability, simplicity and technical convenience. But these are not the only arguments for the ubiquity of these three p-norms. This article proves that there is a volume-surface correspondence …