One of the mysteries of the English language finally explained.
Relating to or denoting systems or processes with the property that, given sufficient time, they include or impinge on all points in a given space and can be represented statistically by a reasonably large selection of points.
- ‘His ergodic theorem gave the kinetic theory of gases a rigorous basis.’
- ‘While in the Harvard College Observatory he worked on many mathematical and astronomical subjects including topology and ergodic theory.’
- ‘He introduced ergodic methods into number theory in his first work.’
- ‘Doeblin also contributed to the theory of random chains with complete connection, some of which was used in a paper by him on ergodic properties of continued fractions.’
- ‘His ergodic theorem transformed the Maxwell - Boltzmann kinetic theory of gases into a rigorous principle through the use of Lebesgue measure.’
Early 20th century: from German ergoden, from Greek ergon ‘work’ + hodos ‘way’ + -ic.
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