borel set वाक्य
उदाहरण वाक्य
मोबाइल
- That is, the Borel sets are the smallest & sigma;-algebra of subsets of " A " ? containing all the open sets.
- For some Borel set \ textstyle B, the namesake of this measure is revealed when the \ textstyle n \, th factorial moment measure reduces to:
- She had continued her research on Borel sets and in 1941 defended her thesis, but before she received her degree the family fled the advancing German troops.
- Many properties of Borel sets can be established in ZFC, but proving these properties hold for more complicated sets requires additional axioms related to determinacy and large cardinals.
- Halmos rather confusingly uses the term " Borel set " for elements of the ?-ring generated by compact sets, and defines Haar measure on these sets.
- The ?-algebra of Borel sets is most popular, but not the only choice ( Baire sets, universally measurable sets etc . are used sometimes ).
- The Borel sets are classified in the Borel hierarchy based on how many times the operations of complement and countable union are required to produce them from open sets.
- The measure that assigns measure 1 to Borel sets containing an unbounded closed subset and assigns 0 to other Borel sets is a Borel probability measure whose support is empty.
- The measure that assigns measure 1 to Borel sets containing an unbounded closed subset and assigns 0 to other Borel sets is a Borel probability measure whose support is empty.
- With no atoms, where \ textstyle B is a Borel set and \ textstyle f ^ {-1 } denotes the inverse of the function \ textstyle f.
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