Sublinear function

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A sublinear function, in linear algebra and related areas of mathematics, is a function f: V \rightarrow \mathbf{F} on a vector space V over F, an ordered field (e.g. the real numbers \mathbb{R}), which satisfies, for all scalars γ and vectors x and y

f(\gamma x) = \vert \gamma \vert f(x) (positive homogenity)
f(x + y) \le f(x) + f(y) (subadditivity)

[edit] Examples

[edit] Properties

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