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  2. Measurable function - Wikipedia

    en.wikipedia.org/wiki/Measurable_function

    A Lebesgue measurable function is a measurable function : (,) (,), where is the -algebra of Lebesgue measurable sets, and is the Borel algebra on the complex numbers. Lebesgue measurable functions are of interest in mathematical analysis because they can be integrated.

  3. Methods used to study memory - Wikipedia

    en.wikipedia.org/wiki/Methods_used_to_study_memory

    Memory is a complex system that relies on interactions between many distinct parts of the brain. In order to fully understand memory, researchers must cumulate evidence from human, animal, and developmental research in order to make broad theories about how memory works. Intraspecies comparisons are key.

  4. Measurement of memory - Wikipedia

    en.wikipedia.org/wiki/Measurement_of_memory

    Short-term memory has limited capacity and is often referred to as "working-memory", however these are not the same. Working memory involves a different part of the brain and allows you to manipulate it after initial storage. The information that travels from sensory memory to short-term memory must pass through the Attention gateway. The ...

  5. Lebesgue measure - Wikipedia

    en.wikipedia.org/wiki/Lebesgue_measure

    A Lebesgue-measurable set can be "squeezed" between a containing G δ set and a contained F σ. I.e, if A is Lebesgue-measurable then there exist a G δ set G and an F σ F such that G ⊇ A ⊇ F and λ(G \ A) = λ(A \ F) = 0. Lebesgue measure is both locally finite and inner regular, and so it is a Radon measure.

  6. 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]

  7. Convergence of measures - Wikipedia

    en.wikipedia.org/wiki/Convergence_of_measures

    For (,) a measurable space, a sequence μ n is said to converge setwise to a limit μ if = ()for every set .. Typical arrow notations are and .. For example, as a consequence of the Riemann–Lebesgue lemma, the sequence μ n of measures on the interval [−1, 1] given by μ n (dx) = (1 + sin(nx))dx converges setwise to Lebesgue measure, but it does not converge in total variation.

  8. Memory - Wikipedia

    en.wikipedia.org/wiki/Memory

    Overview of the forms and functions of memory. Memory is the faculty of the mind by which data or information is encoded, stored, and retrieved when needed.It is the retention of information over time for the purpose of influencing future action. [1]

  9. Lp space - Wikipedia

    en.wikipedia.org/wiki/Lp_space

    The vector space of (equivalence classes of) measurable functions on (,,) is denoted (,,) (Kalton, Peck & Roberts 1984). By definition, it contains all the , and is equipped with the topology of convergence in measure.

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