Definition of ergodic in English:

ergodic

adjective əːˈɡɒdɪkərˈɡɑdɪk

Mathematics

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.
〔数〕各态历经的，遍历性的
Example sentencesExamples
- He introduced ergodic methods into number theory in his first work.
- His ergodic theorem gave the kinetic theory of gases a rigorous basis.
- His ergodic theorem transformed the Maxwell - Boltzmann kinetic theory of gases into a rigorous principle through the use of Lebesgue measure.
- While in the Harvard College Observatory he worked on many mathematical and astronomical subjects including topology and ergodic theory.
- 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.

Derivatives

ergodicity

noun

Mathematics

This behavior indicates that the S-protein is diffusing toward a looser state, where the system gains in ergodicity, similarly to what is observed in amorphous systems and in spin glasses.
Example sentencesExamples
- Model-based geostatistical theory requires two hypotheses: stationarity and ergodicity.
- As NAGYLAKI 1998 notes, ergodicity in itself probably does not rule out very many plausible biological scenarios.

Origin

Early 20th century: from German ergoden, from Greek ergon 'work' + hodos 'way' + -ic.

Definition of ergodic in US English:

ergodic

adjectiveərˈɡädikərˈɡɑdɪk

Mathematics

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.
〔数〕各态历经的，遍历性的
Example sentencesExamples
- He introduced ergodic methods into number theory in his first work.
- While in the Harvard College Observatory he worked on many mathematical and astronomical subjects including topology and ergodic theory.
- His ergodic theorem transformed the Maxwell - Boltzmann kinetic theory of gases into a rigorous principle through the use of Lebesgue measure.
- 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 gave the kinetic theory of gases a rigorous basis.

Origin

Early 20th century: from German ergoden, from Greek ergon ‘work’ + hodos ‘way’ + -ic.

单词	ergodic
释义	Definition of ergodic in English: ergodic adjective əːˈɡɒdɪkərˈɡɑdɪk Mathematics 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. 〔数〕各态历经的，遍历性的 Example sentencesExamples He introduced ergodic methods into number theory in his first work. His ergodic theorem gave the kinetic theory of gases a rigorous basis. His ergodic theorem transformed the Maxwell - Boltzmann kinetic theory of gases into a rigorous principle through the use of Lebesgue measure. While in the Harvard College Observatory he worked on many mathematical and astronomical subjects including topology and ergodic theory. 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. Derivatives ergodicity noun Mathematics This behavior indicates that the S-protein is diffusing toward a looser state, where the system gains in ergodicity, similarly to what is observed in amorphous systems and in spin glasses. Example sentencesExamples Model-based geostatistical theory requires two hypotheses: stationarity and ergodicity. As NAGYLAKI 1998 notes, ergodicity in itself probably does not rule out very many plausible biological scenarios. Origin Early 20th century: from German ergoden, from Greek ergon 'work' + hodos 'way' + -ic. Definition of ergodic in US English: ergodic adjectiveərˈɡädikərˈɡɑdɪk Mathematics 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. 〔数〕各态历经的，遍历性的 Example sentencesExamples He introduced ergodic methods into number theory in his first work. While in the Harvard College Observatory he worked on many mathematical and astronomical subjects including topology and ergodic theory. His ergodic theorem transformed the Maxwell - Boltzmann kinetic theory of gases into a rigorous principle through the use of Lebesgue measure. 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 gave the kinetic theory of gases a rigorous basis. Origin Early 20th century: from German ergoden, from Greek ergon ‘work’ + hodos ‘way’ + -ic.
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