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ratio limit theorem

См. также в других словарях:

  • Ratio test — In mathematics, the ratio test is a test (or criterion ) for the convergence of a series , where each term is a real or complex number and an is nonzero when n is large. The test was first published by Jean le Rond d Alembert and is sometimes… …   Wikipedia

  • Limit superior and limit inferior — In mathematics, the limit inferior (also called infimum limit, liminf, inferior limit, lower limit, or inner limit) and limit superior (also called supremum limit, limsup, superior limit, upper limit, or outer limit) of a sequence can be thought… …   Wikipedia

  • ratio test — Math. the theorem that a given infinite series converges if the absolute value of the ratio of the term succeeding the nth term to the nth term approaches a limit less than 1 as n increases without bound. * * * …   Universalium

  • ratio test — Math. the theorem that a given infinite series converges if the absolute value of the ratio of the term succeeding the nth term to the nth term approaches a limit less than 1 as n increases without bound …   Useful english dictionary

  • Golden ratio — For the Ace of Base album, see The Golden Ratio (album). Not to be confused with Golden number. The golden section is a line segment divided according to the golden ratio: The total length a + b is to the length of the longer segment a as the… …   Wikipedia

  • Bayes' theorem — In probability theory, Bayes theorem (often called Bayes law after Thomas Bayes) relates the conditional and marginal probabilities of two random events. It is often used to compute posterior probabilities given observations. For example, a… …   Wikipedia

  • Fluctuation theorem — The fluctuation theorem (FT) is a theorem from statistical mechanics dealing with the relative probability that the entropy of a system which is currently away from thermodynamic equilibrium (maximum entropy) will increase or decrease over a… …   Wikipedia

  • de Moivre–Laplace theorem — As n grows large, the shape of the binomial distribution begins to resemble the smooth Gaussian curve. In probability theory, the de Moivre–Laplace theorem is a normal approximation to the binomial distribution. It is a special case of the… …   Wikipedia

  • Shannon–Hartley theorem — In information theory, the Shannon–Hartley theorem tells the maximum rate at which information can be transmitted over a communications channel of a specified bandwidth in the presence of noise. It is an application of the noisy channel coding… …   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

  • Virial theorem — In mechanics, the virial theorem provides a general equation relating the average over time of the total kinetic energy, , of a stable system consisting of N particles, bound by potential forces, with that of the total potential energy, , where… …   Wikipedia

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