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cumulative_distribution_function [2015/04/09 16:14]
nikolaj
cumulative_distribution_function [2015/04/09 16:16] (current)
nikolaj
Line 14: Line 14:
 >So we can use such $S$ to normalize functions. >So we can use such $S$ to normalize functions.
 > >
->Any linear function of evaluated points are examples for $S$.  +>For ${\mathbb D}={\mathbb N}$ the general case is $Sf:​=\sum_{n=0}^\infty (L_nf)(n)$, where $(L_n)$ is a suitable sequence of linear operations (e.g. differential operators). For $L_n={\mathrm{id}}$ we get the standard sum (see below).
->So for ${\mathbb D}={\mathbb N}$ the general case is $Sf:​=\sum_{n=0}^\infty (L_nf)(n)$, where $(L_n)$ is a suitable sequence of linear operations (e.g. differential operators).+
 >For ${\mathbb D}\subseteq{\mathbb R}^m$ we have integrals. >For ${\mathbb D}\subseteq{\mathbb R}^m$ we have integrals.
 > >
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