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2. Limit inferior and limit superior - Wikipedia

   en.wikipedia.org/wiki/Limit_inferior_and_limit...

   That is, x ∈ lim sup X n if and only if there exists a subsequence (X n k) of (X n) such that x ∈ X n k for all k. lim inf X n consists of elements of X which belong to X n for all except finitely many n (i.e., for cofinitely many n). That is, x ∈ lim inf X n if and only if there exists some m > 0 such that x ∈ X n for all n > m.

3. Fatou's lemma - Wikipedia

   en.wikipedia.org/wiki/Fatou's_lemma

   This sequence converges uniformly on S to the zero function and the limit, 0, is reached in a finite number of steps: for every x ≥ 0, if n > x, then f n (x) = 0. However, every function f n has integral −1. Contrary to Fatou's lemma, this value is strictly less than the integral of the limit (0).

4. Hongdu JL-8 - Wikipedia

   en.wikipedia.org/wiki/Hongdu_JL-8

   [2] In 2008 Venezuela announced the purchase of 18 K-8 aircraft. The K-8 has been marketed by China to the air forces of the Philippines [citation needed], and to Indonesia, as a replacement for Indonesia's BAE Hawk jet trainers. [3] In 2009, the Bolivian government approved a deal to purchase 6 K-8P aircraft for use in anti-drug operations. [4]

5. Changhe Z-18 - Wikipedia

   en.wikipedia.org/wiki/Changhe_Z-18

   It also reportedly makes greater use of titanium and composites in its rotor blades and rotor, [4] and replaces the Z-8's boat-shaped lower fuselage with a tail ramp for small vehicles. [1] It has a glass cockpit [2] and is powered by three WZ-6C turboshafts. [2] [1] The Z-18's maximum takeoff weight (MTOW) is 13.8 tonnes.

6. Finite difference coefficient - Wikipedia

   en.wikipedia.org/wiki/Finite_difference_coefficient

   For example, the third derivative with a second-order accuracy is ‴ () + (+) + (+) + (), where represents a uniform grid spacing between each finite difference ...

7. Orthogonal polynomials - Wikipedia

   en.wikipedia.org/wiki/Orthogonal_polynomials

   Given any non-decreasing function α on the real numbers, we can define the Lebesgue–Stieltjes integral () of a function f. If this integral is finite for all polynomials f , we can define an inner product on pairs of polynomials f and g by f , g = ∫ f ( x ) g ( x ) d α ( x ) . {\displaystyle \langle f,g\rangle =\int f(x)g(x)\,d\alpha (x).}