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height of a polynomial (Definition)

Let $ P = a_0 + a_1x + \ldots + a_nx^n \in \mathbb{C}[x]$ be a polynomial with complex coefficients. The height of $ P$ is

$\displaystyle H(P) = \operatorname{max}\{\mid a_0 \mid ,\mid a_1 \mid , \ldots , \mid a_n \mid\}. $



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Cross-references: coefficients, complex, polynomial
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This is version 1 of height of a polynomial, born on 2003-04-07.
Object id is 4168, canonical name is HeightOfAPolynomial.
Accessed 1731 times total.

Classification:
AMS MSC11C08 (Number theory :: Polynomials and matrices :: Polynomials)

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