Let \(p \geq 1\) be a real number, The p-norm (also called \(l_p\)-norm) of vector \(x=(x_1,...,x_n)\) is
$$||x||_p:=(\sum_{i=1}^{n}|x_i|^p)^{1/p}$$
- For p = 1 -> taxicab norm
- For p = 2 -> Euclidean norm
- For p = \(\infty\) -> \(max_i|x_i|\)
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