About: Norm (abelian group)

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In mathematics, specifically abstract algebra, if is an (abelian) group with identity element then is said to be a norm on if: 1. * Positive definiteness: , 2. * Subadditivity: , 3. * Inversion (Symmetry): . An alternative, stronger definition of a norm on requires 1. * , 2. * , 3. * . The norm is discrete if there is some real number such that whenever .

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  • In mathematics, specifically abstract algebra, if is an (abelian) group with identity element then is said to be a norm on if: 1. * Positive definiteness: , 2. * Subadditivity: , 3. * Inversion (Symmetry): . An alternative, stronger definition of a norm on requires 1. * , 2. * , 3. * . The norm is discrete if there is some real number such that whenever . (en)
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  • In mathematics, specifically abstract algebra, if is an (abelian) group with identity element then is said to be a norm on if: 1. * Positive definiteness: , 2. * Subadditivity: , 3. * Inversion (Symmetry): . An alternative, stronger definition of a norm on requires 1. * , 2. * , 3. * . The norm is discrete if there is some real number such that whenever . (en)
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  • Norm (abelian group) (en)
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