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recurrent transformation

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recurrent transformation [ri′kər·ənt ‚tranz·fər′mā·shən]
(mathematics)
A measurable function from a measure spaceTto itself such that for every measurable setAin the space and every pointxinAthere is a positive integernsuch thatTn(x) is also inA.
A continuous function from a topological spaceTto itself such that for every open setAin the space and every pointxinAthere is a positive integernsuch thatTn(x) is also inA.


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