Chebyshev Distance

This function calculates the Chebyshev distance. The Chebyshev distance or Chebyshev norm is a norm for functions or for vectors or matrices.

To calculate, enter a series of x /y pairs (vectors). The individual numbers are separated by semicolons or spaces. Then click on the 'Calculate' button.

Formula for the Chebyshev distance

\(\displaystyle d_{\mathbf{\infty}} : (x, y) \mapsto \|x-y\|_\infty \) \(\displaystyle = \lim_{p \rightarrow \infty}\bigg(\sum_{i=1}^{n} |x_i-y_i|^p\bigg)^\frac{1}{p} = \max_{i} |x_i-y_i|\)