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  2. Limit (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Limit_(mathematics)

    In mathematics, a limit is the value that a function (or sequence) approaches as the argument (or index) approaches some value. [1] Limits of functions are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.

  3. Limit inferior and limit superior - Wikipedia

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

    In mathematical analysis, limit superior and limit inferior are important tools for studying sequences of real numbers.Since the supremum and infimum of an unbounded set of real numbers may not exist (the reals are not a complete lattice), it is convenient to consider sequences in the affinely extended real number system: we add the positive and negative infinities to the real line to give the ...

  4. Cauchy–Hadamard theorem - Wikipedia

    en.wikipedia.org/wiki/Cauchy–Hadamard_theorem

    In mathematics, the Cauchy–Hadamard theorem is a result in complex analysis named after the French mathematicians Augustin Louis Cauchy and Jacques Hadamard, describing the radius of convergence of a power series.

  5. Central limit theorem - Wikipedia

    en.wikipedia.org/wiki/Central_limit_theorem

    In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample mean converges to a standard normal distribution.

  6. Natural density - Wikipedia

    en.wikipedia.org/wiki/Natural_density

    A subset A of positive integers has natural density α if the proportion of elements of A among all natural numbers from 1 to n converges to α as n tends to infinity.. More explicitly, if one defines for any natural number n the counting function a(n) as the number of elements of A less than or equal to n, then the natural density of A being α exactly means that [1]

  7. Characteristic function (probability theory) - Wikipedia

    en.wikipedia.org/wiki/Characteristic_function...

    The characteristic function is a way to describe a random variable X.The characteristic function, = ⁡ [],a function of t, determines the behavior and properties of the probability distribution of X.

  8. Lê Quang Liêm - Wikipedia

    en.wikipedia.org/wiki/Lê_Quang_Liêm

    Lê Quang Liêm (born 13 March 1991) is a Vietnamese chess grandmaster, the top-ranked of his country. [2] He was awarded the title of Grandmaster by FIDE in 2006. Liêm won the Asian Chess Championship in 2019 and was the World Blitz Chess Champion in 2013.

  9. Lim Ji-yeon - Wikipedia

    en.wikipedia.org/wiki/Lim_Ji-yeon

    Lim Ji-yeon (Korean: 임지연; born June 23, 1990) is a South Korean actress. After appearing in a number of short films and plays, she had her first feature film role in Obsessed (2014). [ 3 ] [ 4 ] The role earned her a Best New Actress nomination at the 35th Blue Dragon Film Awards , and wins at the 51st Grand Bell Awards and 51st Baeksang ...