height of a polynomial

Let $P=a_{0}+a_{1}x+\\ldots+a_{n}x^{n}\\in\\mathbb{C}[x]$ be a polynomial with complex coefficients. The height of $P$ is

H(P)=\\operatorname{max}\\{\\mid a_{0}\\mid,\\mid a_{1}\\mid,\\ldots,\\mid a_{n}\\mid\\}.

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