Definitions | semi-norm |
| noun
- (analysis) A function denoted , , v, , that maps a vector v to a non-negative value such that , , cv, , = , c, ., , v, , , where is a scalar, and , , v + w, , ≤ , , v, , + , , w, , (the triangle inequality); the condition that , , v, , = 0 implies that v = 0 is not required, but when it holds, the semi-norm is a norm.
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