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What (who) is statistical randomness - definition
Statistical randomness
QUALITY OF A NUMERICAL SEQUENCE OF HAVING NO RECOGNIZABLE PATTERNS
Local randomness; Statistically random
A numeric sequence is said to be statistically random when it contains no recognizable patterns or regularities; sequences such as the results of an ideal dice roll or the digits of π exhibit statistical randomness.Pi seems a good random number generator – but not always the best, Chad Boutin, Purdue University
Ensemble (mathematical physics)
![classical]] systems in [[phase space]] (top). Each system consists of one massive particle in a one-dimensional [[potential well]] (red curve, lower figure). The initially compact ensemble becomes swirled up over time.](https://commons.wikimedia.org/wiki/Special:FilePath/Hamiltonian flow classical.gif?width=200 "classical]] systems in [[phase space]] (top). Each system consists of one massive particle in a one-dimensional [[potential well]] (red curve, lower figure). The initially compact ensemble becomes swirled up over time.")
![Visual representation of five statistical ensembles (from left to right): [[microcanonical ensemble]], [[canonical ensemble]], [[grand canonical ensemble]], [[isobaric-isothermal ensemble]], [[isoenthalpic-isobaric ensemble]]](https://commons.wikimedia.org/wiki/Special:FilePath/Statistical Ensembles.png?width=200 "Visual representation of five statistical ensembles (from left to right): [[microcanonical ensemble]], [[canonical ensemble]], [[grand canonical ensemble]], [[isobaric-isothermal ensemble]], [[isoenthalpic-isobaric ensemble]]")
SET OF POSSIBLE STATES
Using statistical ensembles; Using Statistical Ensembles; Ensemble average; Statistical ensemble; Thermodynamic ensemble; Gibbsian ensemble; Statistical Ensemble; Ensemble averaging (statistical mechanics); Ensemble average (statistical mechanics); Statistical ensemble (mathematical physics)
In physics, specifically statistical mechanics, an ensemble (also statistical ensemble) is an idealization consisting of a large number of virtual copies (sometimes infinitely many) of a system, considered all at once, each of which represents a possible state that the real system might be in. In other words, a statistical ensemble is a set of systems of particles used in statistical mechanics to describe a single
Ensemble average
SET OF POSSIBLE STATES
Using statistical ensembles; Using Statistical Ensembles; Ensemble average; Statistical ensemble; Thermodynamic ensemble; Gibbsian ensemble; Statistical Ensemble; Ensemble averaging (statistical mechanics); Ensemble average (statistical mechanics); Statistical ensemble (mathematical physics)
In statistical mechanics, the ensemble average is defined as the mean of a quantity that is a function of the microstate of a system, according to the distribution of the system on its micro-states in this ensemble.
