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asymptotic inequality

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  • Asymptotic equipartition property — In information theory the asymptotic equipartition property (AEP) is a general property of the output samples of a stochastic source. It is fundamental to the concept of typical set used in theories of compression.Roughly speaking, the theorem… …   Wikipedia

  • Concentration inequality — In mathematics, concentration inequalities provide probability bounds on how a random variable deviates from some value (e.g. its expectation). The laws of large numbers of classical probability theory state that sums of independent random… …   Wikipedia

  • Milman'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 Rn. At first sight, such a …   Wikipedia

  • Dvoretzky–Kiefer–Wolfowitz inequality — In the theory of probability and statistics, the Dvoretzky–Kiefer–Wolfowitz inequality predicts how close an empirically determined distribution function will be to the distribution function from which the empirical samples are drawn. It is named …   Wikipedia

  • Loewner's torus inequality — In differential geometry, Loewner s torus inequality is an inequality due to Charles Loewner for the systole of an arbitrary Riemannian metric on the 2 torus.tatementIn 1949 Charles Loewner proved that every metric on the 2 torus mathbb T^2… …   Wikipedia

  • Milman'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 …   Wikipedia

  • Fano's inequality — In information theory, Fano s inequality (also known as the Fano converse and the Fano lemma) relates the average information lost in a noisy channel to the probability of the categorization error. It was derived by Robert Fano in the early 1950s …   Wikipedia

  • Systolic geometry — In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner, and developed by Mikhail Gromov and others, in its arithmetic, ergodic, and topological manifestations.… …   Wikipedia

  • Dehn function — In the mathematical subject of geometric group theory, a Dehn function, named after Max Dehn, is an optimal function associated to a finite group presentation which bounds the area of a relation in that group (that is a freely reduced word in the …   Wikipedia

  • Prime number theorem — PNT redirects here. For other uses, see PNT (disambiguation). In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers. The prime number theorem gives a general description of how the primes are… …   Wikipedia

  • List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A …   Wikipedia

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