ergodic property

  • 21Systolic 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.… …

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  • 22Statistical ensemble (mathematical physics) — In mathematical physics, especially as introduced into statistical mechanics and thermodynamics by J. Willard Gibbs in 1878, an ensemble (also statistical ensemble or thermodynamic ensemble)cite book |last=Kittel |first=Charles… …

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  • 23Time Reversal Signal Processing — is a technique for focusing waves. A Time Reversal Mirror (TRM) is a device that can focus waves using the time reversal method. TRMs are also known as time reversal mirror arrays, as they are usually arrays of transducers, but they do not have… …

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  • 24Autocorrelation — is a mathematical tool for finding repeating patterns, such as the presence of a periodic signal which has been buried under noise, or identifying the missing fundamental frequency in a signal implied by its harmonic frequencies. It is used… …

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  • 25Combinatorics — is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size (enumerative combinatorics), deciding when certain criteria can be met,… …

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  • 26Chaos theory — This article is about chaos theory in Mathematics. For other uses of Chaos theory, see Chaos Theory (disambiguation). For other uses of Chaos, see Chaos (disambiguation). A plot of the Lorenz attractor for values r = 28, σ = 10, b = 8/3 …

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  • 27Markov decision process — Markov decision processes (MDPs), named after Andrey Markov, provide a mathematical framework for modeling decision making in situations where outcomes are partly random and partly under the control of a decision maker. MDPs are useful for… …

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  • 28Syndetic set — In mathematics, a syndetic set is a subset of the natural numbers, having the property of bounded gaps : that the sizes of the gaps in the sequence of natural numbers is bounded. DefinitionLet mathcal{P} f(mathbb{N}) denote the set of finite… …

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  • 29Oppenheim conjecture — In Diophantine approximation, the Oppenheim conjecture concerns representations of numbers by real quadratic forms in several variables. It was formulated in 1929 by Alexander Oppenheim and later the conjectured property was further strengthened… …

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  • 30Emergence — For other uses see Emergence (disambiguation), Emergent, and Emergency. : See also the closely related articles: Spontaneous order and self organization. In philosophy, systems theory and the sciences, emergence is the way complex systems and… …

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