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Absolute value (algebra)

In algebra, an absolute value is a function that generalizes the usual absolute value. More precisely, if D is a field or (more generally) an integral domain, an absolute value on D is a function, commonly denoted | x | , {\displaystyle |x|,} from D to the real numbers satisfying:

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Absolute value (algebra)

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Avg. degree1.96
Density0.035714
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absolute value integral field domain numbers displaystyle ring function values every real element integer valuation p-adic define sequences usual two

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