# ergodic

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Related to ergodic: Ergodic hypothesis

## er·god·ic

(ûr-gŏd′ĭk)*adj.*

Of or relating to a system or process whose overall statistical properties can be determined by analysis of a sufficiently large sample of the states of one of its constituents or instances averaged over time.

[German Ergode,

*a set of points in a space with the property that all points will be included in a trajectory with equal frequency given a sufficient large number of trajectories*(coined by Ludwig Eduard Boltzmann from Greek ergon,*work*; see werg- in Indo-European roots + Greek hodos,*way, path*) + -ic.]**er·god′i·cal·ly**

*adv.*

## ergodic

(ɜːˈɡɒdɪk)*adj*

(Mathematics)

*maths*of or relating to the probability that any state will recur## er•god•ic

(ɜrˈgɒd ɪk)*adj.*

*Math., Statistics.*

pertaining to the condition that, in an interval of sufficient duration, a system will return to states that are closely similar to previous ones: the basis of statistical methods used in modern dynamics and atomic theory.

**er`go•dic′i•ty**(-gəˈdɪs ɪ ti)

*n.*

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Adj. | 1. | ergodic - positive recurrent aperiodic state of stochastic systems; tending in probability to a limiting form that is independent of the initial conditionsstatistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters random - lacking any definite plan or order or purpose; governed by or depending on chance; "a random choice"; "bombs fell at random"; "random movements" |

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