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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.
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 ...
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.
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]
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.
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.
Socialist Republic of Vietnam Cộng hòa Xã hội chủ nghĩa Việt Nam (Vietnamese) Flag Emblem Motto: Độc lập – Tự do – Hạnh phúc "Independence – Freedom – Happiness" Anthem: Tiến Quân Ca "The Song of the Marching Troops" Show globe Show ASEAN Location of Vietnam (green) in ASEAN (dark grey) Capital Hanoi 21°2′N 105°51′E / 21.033°N 105.850°E / 21. ...