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  2. L-2 visa - Wikipedia

    en.wikipedia.org/wiki/L-2_visa

    An L-2 visa is a visa document used to enter the United States by the dependent spouse and unmarried children under 21 years of age of qualified L-1 visa holders. It is a non-immigrant visa, and is only valid for the duration of the spouse's L-1 visa.

  3. 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.

  4. Vapnik–Chervonenkis theory - Wikipedia

    en.wikipedia.org/wiki/Vapnik–Chervonenkis_theory

    The symmetrized process is a Rademacher process, conditionally on the data . Therefore, it is a sub-Gaussian process by Hoeffding's inequality. Lemma (Symmetrization). For every nondecreasing, convex Φ: R → R and class of measurable functions ,

  5. Convergence in measure - Wikipedia

    en.wikipedia.org/wiki/Convergence_in_measure

    If X = [a,b] ⊆ R and μ is Lebesgue measure, there are sequences (g n) of step functions and (h n) of continuous functions converging globally in measure to f. If f and f n (n ∈ N) are in L p (μ) for some p > 0 and (f n) converges to f in the p-norm, then (f n) converges to f globally in measure. The converse is false.

  6. Donsker classes - Wikipedia

    en.wikipedia.org/wiki/Donsker_classes

    Donsker's theorem states that the empirical distribution function, when properly normalized, converges weakly to a Brownian bridge—a continuous Gaussian process. This is significant as it assures that results analogous to the central limit theorem hold for empirical processes, thereby enabling asymptotic inference for a wide range of ...

  7. Supreme Court unanimous ruling may pave way for mass deportation

    www.aol.com/supreme-court-unanimous-ruling-may...

    The ruling was issued in a “sham marriage” case after an American citizen applied with the U.S. Citizenship and Immigration Services (USCIS) to obtain a visa for her noncitizen Palestinian ...

  8. Riemann–Lebesgue lemma - Wikipedia

    en.wikipedia.org/wiki/Riemann–Lebesgue_lemma

    In mathematics, the Riemann–Lebesgue lemma, named after Bernhard Riemann and Henri Lebesgue, states that the Fourier transform or Laplace transform of an L 1 function vanishes at infinity. It is of importance in harmonic analysis and asymptotic analysis .

  9. William R. Loomis Jr. - Pay Pals - The Huffington Post

    data.huffingtonpost.com/paypals/william-r-loomis-jr

    From April 2012 to December 2012, if you bought shares in companies when William R. Loomis Jr. joined the board, and sold them when he left, you would have a 56.2 percent return on your investment, compared to a 2.8 percent return from the S&P 500.