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Sublinear function

From Biocrawler, the free encyclopedia.

In linear algebra and related areas of mathematics a function on a vector space V over the field F (which is either the real numbers R or the complex numbers C) is called sublinear if 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)

Examples

Properties

he:פונקציה תת-ליניארית
Wikipedia (http://en.wikipedia.org/wiki/Main_Page) Sublinear_function (http://en.wikipedia.org/wiki/Sublinear_function) version history (http://en.wikipedia.org/w/index.php?title=Sublinear_function&action=history) GNU Free Documentation Lizenz (http://en.wikipedia.org/wiki/Wikipedia:Text_of_the_GNU_Free_Documentation_License) CC-by-sa (http://creativecommons.org/licenses/by-sa/2.5/)

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