DLMF:3.2#Ex3 (Q1089)

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DLMF:3.2#Ex3
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    𝐱 p = ( j = 1 n | x j | p ) 1 / p , subscript norm 𝐱 𝑝 superscript superscript subscript 𝑗 1 𝑛 subscript 𝑥 𝑗 𝑝 1 𝑝 {\displaystyle{\displaystyle\|\mathbf{x}\|_{p}=\left(\sum_{j=1}^{n}{\left|x_{j% }\right|^{p}}\right)^{1/p},}}
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    p = 1 , 2 , 𝑝 1 2 {\displaystyle{\displaystyle p=1,2,\dots}}
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