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: It follows from the axioms that | 1 | = 1 , {\displaystyle |1|=1,} | − 1 | = 1 , {\displaystyle |-1|=1,} and | − x | = | x | {\displaystyle |-x|=|x|} for every x {\displaystyle x} .
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: It follows from the axioms that | 1 | = 1 , {\displaystyle |1|=1,} | − 1 | = 1 , {\displaystyle |-1|=1,} and | − x | = | x | {\displaystyle |-x|=|x|} for every x {\displaystyle x} .
Source: Wikipedia "Absolute value (algebra)" · CC BY-SA 4.0
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