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gap theorem

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  • Gap theorem — See also Gap theorem (disambiguation) for other gap theorems in mathematics. In computational complexity theory the Gap theorem is a major theorem about the complexity of computable functions. [Lance Fortnow, Steve Homer,… …   Wikipedia

  • Gap theorem (disambiguation) — In mathematics, gap theorem may refer to:* The Weierstrass gap theorem. * The Hadamard gap theorem. * The gap theorem of Fourier analysis, a statement about the vanishing of discrete Fourier coefficients for functions that are identically zero on …   Wikipedia

  • Ostrowski–Hadamard gap theorem — In mathematics, the Ostrowski–Hadamard gap theorem is a result about the analytic continuation of complex power series whose non zero terms are of orders that have a suitable gap between them. Such a power series is badly behaved in the sense… …   Wikipedia

  • Info-gap decision theory — is a non probabilistic decision theory that seeks to optimize robustness to failure – or opportuneness for windfall – under severe uncertainty,[1][2] in particular applying sensitivity analysis of the stability radius type[3] to perturbations in… …   Wikipedia

  • Coleman-Mandula theorem — The Coleman Mandula theorem, named after Sidney Coleman and Jeffrey Mandula, is a no go theorem in theoretical physics. It states that the only conserved quantities in a realistic theory with a mass gap, apart from the generators of the Poincaré… …   Wikipedia

  • Coleman–Mandula theorem — The Coleman–Mandula theorem, named after Sidney Coleman and Jeffrey Mandula, is a no go theorem in theoretical physics. It states that space time and internal symmetries cannot be combined in any but a trivial way .[1] The only conserved… …   Wikipedia

  • Adiabatic theorem — The adiabatic theorem is an important concept in quantum mechanics. Its original form, due to Max Born and Vladimir Fock (1928),cite journal |author=M. Born and V. A. Fock |title=Beweis des Adiabatensatzes |journal=Zeitschrift für Physik A… …   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

  • Fundamental theorem of algebra — In mathematics, the fundamental theorem of algebra states that every non constant single variable polynomial with complex coefficients has at least one complex root. Equivalently, the field of complex numbers is algebraically closed.Sometimes,… …   Wikipedia

  • Prime gap — A prime gap is the difference between two successive prime numbers. The n th prime gap, denoted g n , is the difference between the ( n +1) th and the n th prime number, i.e.: g n = p n + 1 − p n .We have g 1 = 1, g 2 = g 3 = 2, and g 4 = 4. The… …   Wikipedia

  • Semantic gap — The semantic gap characterizes the difference between two descriptions of an object by different linguistic representations, for instance languages or symbols. In computer science, the concept is relevant whenever ordinary human activities,… …   Wikipedia

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