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A disperser is a one-sided extractor.[1] Where an extractor requires that every event gets the same probability under the uniform distribution and the extracted distribution, only the latter is required for a disperser. So for a disperser, an event we have:
Definition (Disperser):A-disperser is a function
such that for every distributiononwiththe support of the distributionis of size at least.
^Shaltiel, Ronen (2002). "Recent developments in explicit constructions of extractors". Bulletin of the EATCS. 77: 67–95. Retrieved 2018-04-10.
the extracted distribution, only the latter is required for a disperser. So for a disperser, an event A ⊆ { 0 , 1 } m {\displaystyle A\subseteq \{0,1\}^{m}}...
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