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