Minkowski inequality

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The Minkowski inequality is

LaTeX: \|x + y\|_p \le \|x\|_p + \|y\|_p,

where LaTeX: \|\cdot \|_p denotes the LaTeX: L_p norm and LaTeX: p \ge 1. Equality holds if, and only if, LaTeX: x = \alpha y for some scalar, LaTeX: \alpha.


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