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  2. Measurable function - Wikipedia

    en.wikipedia.org/wiki/Measurable_function

    Continuous functions, monotone functions, step functions, semicontinuous functions, Riemann-integrable functions, and functions of bounded variation are all Lebesgue measurable. [2] A function f : X → C {\displaystyle f:X\to \mathbb {C} } is measurable if and only if the real and imaginary parts are measurable.

  3. Lebesgue integral - Wikipedia

    en.wikipedia.org/wiki/Lebesgue_integral

    The integral of a non-negative general measurable function is then defined as an appropriate supremum of approximations by simple functions, and the integral of a (not necessarily positive) measurable function is the difference of two integrals of non-negative measurable functions. [1]

  4. Stochastic process - Wikipedia

    en.wikipedia.org/wiki/Stochastic_process

    The term random function is also used to refer to a stochastic or random process, [25] [26] because a stochastic process can also be interpreted as a random element in a function space. [27] [28] The terms stochastic process and random process are used interchangeably, often with no specific mathematical space for the set that indexes the ...

  5. Adapted process - Wikipedia

    en.wikipedia.org/wiki/Adapted_process

    Consider a stochastic process X : [0, T] × Ω → R, and equip the real line R with its usual Borel sigma algebra generated by the open sets.. If we take the natural filtration F • X, where F t X is the σ-algebra generated by the pre-images X s −1 (B) for Borel subsets B of R and times 0 ≤ s ≤ t, then X is automatically F • X-adapted.

  6. Progressively measurable process - Wikipedia

    en.wikipedia.org/wiki/Progressively_measurable...

    A progressively measurable process, while defined quite technically, is important because it implies the stopped process is measurable. Being progressively measurable is a strictly stronger property than the notion of being an adapted process. [1] Progressively measurable processes are important in the theory of Itô integrals.

  7. Moore and Fears combine for 50 points as Oklahoma tops ... - AOL

    www.aol.com/moore-fears-combine-50-points...

    Key moment. Oklahoma had four 3-pointers and a three-point play on six possessions midway through the second half for a 68-57 lead. Miles, Moore and Glenn Taylor Jr. each made a 3-pointer, and ...

  8. Cell cycle checkpoint - Wikipedia

    en.wikipedia.org/wiki/Cell_cycle_checkpoint

    As the eukaryotic cell cycle is a complex process, eukaryotes have evolved a network of regulatory proteins, known as the cell cycle control system, which monitors and dictates the progression of the cell through the cell cycle. [5]

  9. “SNL” Alum Ana Gasteyer Says Sean ‘Diddy’ Combs Demanded ...

    www.aol.com/snl-alum-ana-gasteyer-says-044845838...

    “SNL” Alum Ana Gasteyer Says Sean ‘Diddy’ Combs Demanded Closed Set While Appearing as Musical Guest