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measurable set वाक्य

"measurable set" हिंदी मेंmeasurable set in a sentence
उदाहरण वाक्यमोबाइल
  • See non-measurable set for more details.
  • Whenever " A " and " B " are any measurable sets and ? is the associated measure.
  • The ?-measurable sets form a ?-algebra and ? restricted to the measurable sets is a countably additive complete measure.
  • The ?-measurable sets form a ?-algebra and ? restricted to the measurable sets is a countably additive complete measure.
  • Halmos ) as a measurable set of positive measure that has no subsets of strictly less, yet positive measure.
  • Show that the set of points for which \ { f _ n \ } converges is a measurable set.
  • Specifically, this is true if the measure space contains an infinite family of disjoint measurable sets of finite positive measure.
  • A function between two measurable spaces is called a measurable function if the preimage of every measurable set is measurable.
  • In ZF, one can show that the Hahn Banach theorem is enough to derive the existence of a non-Lebesgue measurable set.
  • A measure is called " ?-finite " if can be decomposed into a countable union of measurable sets of finite measure.
  • Some of the best-known paradoxes such as the Banach Tarski paradox and Hausdorff paradox are based on the existence of non-measurable sets.
  • Indeed, non-measurable sets almost never occur in applications, but anyway, the theory must restrict itself to measurable sets ( and functions ).
  • This property does not hold for the non-standard probability space dealt with in the subsection " A superfluous measurable set " above.
  • The measurable sets on the line are iterated countable unions and intersections of intervals ( called Borel sets ) plus-minus null sets.
  • Indeed, non-measurable sets almost never occur in applications, but anyway, the theory must restrict itself to measurable sets ( and functions ).
  • Assuming the axiom of choice, non-measurable sets with many surprising properties have been demonstrated, such as those of the Banach Tarski paradox.
  • Measure theory succeeded in extending the notion of volume ( or another measure ) to a vast class of sets, so-called measurable sets.
  • Consider an increasing collection of measurable sets indexed by : such as balls of radius centered at the origin, or cubes of side.
  • Any finite union and intersection of Jordan measurable sets is Jordan measurable, as well as the set difference of any two Jordan measurable sets.
  • Any finite union and intersection of Jordan measurable sets is Jordan measurable, as well as the set difference of any two Jordan measurable sets.
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