Inequality

  • 91Noether inequality — In mathematics, the Noether inequality, named after Max Noether, is a property of compact minimal complex surfaces that restricts the topological type of the underlying topological 4 manifold. It holds more generally for minimal projective… …

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  • 92Sakurai's Bell inequality — The intention of a Bell inequality is to serve as a test of local realism or local hidden variable theories as against quantum mechanics, applying Bell s theorem, which shows them to be incompatible. Not all the Bell s inequalities that appear in …

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  • 93Rearrangement inequality — In mathematics, the rearrangement inequality states that:x ny 1 + cdots + x 1y nle x {sigma (1)}y 1 + cdots + x {sigma (n)}y nle x 1y 1 + cdots + x ny nfor every choice of real numbers:x 1lecdotsle x nquad ext{and}quad y 1lecdotsle y nand every… …

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  • 94Hoeffding's inequality — Hoeffding s inequality, named after Wassily Hoeffding, is a result in probability theory that gives an upper bound on the probability for the sum of random variables to deviate from its expected value.Let :X 1, dots, X n ! be independent random… …

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  • 95Vitale's random Brunn-Minkowski inequality — In mathematics, Vitale s random Brunn Minkowski inequality is a theorem due to Richard Vitale that generalizes the classical Brunn Minkowski inequality for compact subsets of n dimensional Euclidean space R n to random compact sets.tatement of… …

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  • 96Cauchy–Schwarz inequality — In mathematics, the Cauchy–Schwarz inequality, also known as the Schwarz inequality, the Cauchy inequality, or the Cauchy–Schwarz–Bunyakovsky inequality, is a useful inequality encountered in many different settings, such as linear algebra… …

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  • 97Law and Inequality — Law and Inequality: A Journal of Theory and Practice , or the Journal of Law Inequality , is a journal of legal scholarship published by a student run group at University of Minnesota Law School. The journal is published twice a year, summer and… …

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  • 98Carleman's inequality — is an inequality in mathematics, named after Torsten Carleman. It states that if a 1, a 2, a 3, dots is a sequence of non negative real numbers, then : sum {n=1}^infty left(a 1 a 2 cdots a n ight)^{1/n} le e sum {n=1}^infty a n.The constant e in… …

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  • 99MacLaurin's inequality — In mathematics, MacLaurin s inequality, named after Colin Maclaurin, is a refinement of the inequality of arithmetic and geometric means. Let a 1, a 2, ..., a n be positive real numbers, and for k = 1, 2, ..., n define the averages S k as follows …

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  • 100Milman's reverse Brunn-Minkowski inequality — In mathematics, Milman s reverse Brunn Minkowski inequality is a result due to Vitali Milman that provides a reverse inequality to the famous Brunn Minkowski inequality for convex bodies in n dimensional Euclidean space R n . At first sight, such …

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