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  • Measure-preserving dynamical system — In mathematics, a measure preserving dynamical system is an object of study in the abstract formulation of dynamical systems, and ergodic theory in particular. Contents 1 Definition 2 Examples 3 Homomorphisms 4 …   Wikipedia

  • Format-preserving encryption — In cryptography, format preserving encryption (FPE) refers to encrypting in such a way that the output (the ciphertext) is in the same format as the input (the plaintext). The meaning of format varies. Typically only finite domains are discussed …   Wikipedia

  • Oregon Ballot Measure 36 (2004) — A van in 2009 displays bumper stickers against Measure 9 (2000) and Measure 36. Ballot Measure 36 was a 2004 initiative in the U.S. state of Oregon. It amended the Oregon Constitution to define marriage as a union of one man and one woman. The… …   Wikipedia

  • Dry measure — Dry Dry (dr[imac]), a. [Compar. {Drier}; superl. {Driest}.] [OE. dru[yogh]e, druye, drie, AS. dryge; akin to LG. dr[ o]ge, D. droog, OHG. trucchan, G. trocken, Icel. draugr a dry log. Cf. {Drought}, {Drouth}, 3d {Drug}.] 1. Free from moisture;… …   The Collaborative International Dictionary of English

  • Standard probability space — In probability theory, a standard probability space (called also Lebesgue Rokhlin probability space) is a probability space satisfying certain assumptions introduced by Vladimir Rokhlin in 1940 [1] . He showed that the unit interval endowed with… …   Wikipedia

  • Ergodic theory — is a branch of mathematics that studies dynamical systems with an invariant measure and related problems. Its initial development was motivated by problems of statistical physics. A central concern of ergodic theory is the behavior of a dynamical …   Wikipedia

  • Dynamical system (definition) — This article presents the many ways to define a dynamical system. See the main article, dynamical system, for an overview of the topic. The dynamical system concept is a mathematical formalization for any fixed rule which describes the time… …   Wikipedia

  • Dynamical system — This article is about the general aspects of dynamical systems. For technical details, see Dynamical system (definition). For the study, see Dynamical systems theory. Dynamical redirects here. For other uses, see Dynamics (disambiguation). The… …   Wikipedia

  • Ergodicity — For other uses, see Ergodic (disambiguation). In mathematics, the term ergodic is used to describe a dynamical system which, broadly speaking, has the same behavior averaged over time as averaged over space. In physics the term is used to imply… …   Wikipedia

  • Commutation theorem — In mathematics, a commutation theorem explicitly identifies the commutant of a specific von Neumann algebra acting on a Hilbert space in the presence of a trace. The first such result was proved by F.J. Murray and John von Neumann in the 1930s… …   Wikipedia

  • Poincaré recurrence theorem — In mathematics, the Poincaré recurrence theorem states that certain systems will, after a sufficiently long time, return to a state very close to the initial state. The Poincaré recurrence time is the length of time elapsed until the recurrence.… …   Wikipedia

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