ergodic queue - definitie. Wat is ergodic queue
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Wat (wie) is ergodic queue - definitie

BRANCH OF MATHEMATICS THAT STUDIES DYNAMICAL SYSTEMS
Ergodic theorem; Metric transitivity; Ergodic system; Occurence time; Sojourn time; Birkhoff-Khinchin ergodic theorem; Birkhoff's ergodic theorem; Birkhoff ergodic theorem; Ergodic transformation; Ergodic systems; Weakly ergodic; Ergodic properties; Ergodic theorems; Ergodic set; Strongly ergodic; Birkhoff–Khinchin theorem; Birkhoff-Khinchin theorem; Birkhoff–Khinchin ergodic theorem; Mean ergodic theorem; Ergodic Theory; Individual ergodic theorem; Birkhoff's Ergodic Theorem; Von Neumann's ergodic theorem; Von Neumann's mean ergodic theorem; Von Neumann mean ergodic theorem; Von Neumann ergodic theorem; Occurrence time
  • Evolution of an ensemble of classical systems in phase space (top). The systems are massive particles in a one-dimensional potential well (red curve, lower figure). The initially compact ensemble becomes swirled up over time and "spread around" phase space. This is however ''not'' ergodic behaviour since the systems do not visit the left-hand potential well.

Client–queue–client         
Client-Queue-Client; Client-queue-client
A client–queue–client or passive queue system is a client–server computer network in which the server is a data queue for the clients. Instead of communicating with each other directly, clients exchange data with one another by storing it in a repository (the queue) on a server.
deque         
  • browsing history]]: new websites are added to the end of the queue, while the oldest entries will be deleted when the history is too large. When a user asks to clear the browsing history for the past hour, the most recently added entries are removed.
ABSTRACT DATA TYPE FOR WHICH ELEMENTS CAN BE ADDED TO OR REMOVED FROM EITHER THE FRONT OR BACK
Doubly-ended queue; Deques; Double ended queue; Deque; Double-Ended Queue; Head-tail linked list; Doubly ended queue; Real-time deque
double-ended queue         
  • browsing history]]: new websites are added to the end of the queue, while the oldest entries will be deleted when the history is too large. When a user asks to clear the browsing history for the past hour, the most recently added entries are removed.
ABSTRACT DATA TYPE FOR WHICH ELEMENTS CAN BE ADDED TO OR REMOVED FROM EITHER THE FRONT OR BACK
Doubly-ended queue; Deques; Double ended queue; Deque; Double-Ended Queue; Head-tail linked list; Doubly ended queue; Real-time deque
<algorithm> /dek/ (deque) A queue which can have items added or removed from either end[?]. The Knuth reference below reports that the name was coined by E. J. Schweppe. [D. E. Knuth, "The Art of Computer Programming. Volume 1: Fundamental Algorithms", second edition, Sections 2.2.1, 2.6, Addison-Wesley, 1973]. Silicon Graphics (http://sgi.com/tech/stl/Deque.html). [Correct definition? Example use?] (2003-12-17)

Wikipedia

Ergodic theory

Ergodic theory (Greek: ἔργον ergon "work", ὁδός hodos "way") is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this context, statistical properties means properties which are expressed through the behavior of time averages of various functions along trajectories of dynamical systems. The notion of deterministic dynamical systems assumes that the equations determining the dynamics do not contain any random perturbations, noise, etc. Thus, the statistics with which we are concerned are properties of the dynamics.

Ergodic theory, like probability theory, is based on general notions of measure theory. Its initial development was motivated by problems of statistical physics.

A central concern of ergodic theory is the behavior of a dynamical system when it is allowed to run for a long time. The first result in this direction is the Poincaré recurrence theorem, which claims that almost all points in any subset of the phase space eventually revisit the set. Systems for which the Poincaré recurrence theorem holds are conservative systems; thus all ergodic systems are conservative.

More precise information is provided by various ergodic theorems which assert that, under certain conditions, the time average of a function along the trajectories exists almost everywhere and is related to the space average. Two of the most important theorems are those of Birkhoff (1931) and von Neumann which assert the existence of a time average along each trajectory. For the special class of ergodic systems, this time average is the same for almost all initial points: statistically speaking, the system that evolves for a long time "forgets" its initial state. Stronger properties, such as mixing and equidistribution, have also been extensively studied.

The problem of metric classification of systems is another important part of the abstract ergodic theory. An outstanding role in ergodic theory and its applications to stochastic processes is played by the various notions of entropy for dynamical systems.

The concepts of ergodicity and the ergodic hypothesis are central to applications of ergodic theory. The underlying idea is that for certain systems the time average of their properties is equal to the average over the entire space. Applications of ergodic theory to other parts of mathematics usually involve establishing ergodicity properties for systems of special kind. In geometry, methods of ergodic theory have been used to study the geodesic flow on Riemannian manifolds, starting with the results of Eberhard Hopf for Riemann surfaces of negative curvature. Markov chains form a common context for applications in probability theory. Ergodic theory has fruitful connections with harmonic analysis, Lie theory (representation theory, lattices in algebraic groups), and number theory (the theory of diophantine approximations, L-functions).