How do you use Ergodic in a sentence? See 9 example sentences showing how this word appears in different contexts, including synonyms like random, plus the exact meaning.
Ergodic meaning
- Of or relating to certain systems that, given enough time, will eventually return to a previously experienced state.
- Of or relating to a process in which every sequence or sample of sufficient size is equally representative of the whole.
- Of or relating to a literary work that requires nontrivial effort on the reader's part to traverse.
Synonyms of Ergodic
Using Ergodic
- The main meaning on this page is: Of or relating to certain systems that, given enough time, will eventually return to a previously experienced state. | Of or relating to a process in which every sequence or sample of sufficient size is equally representative of the whole. | Of or relating to a literary work that requires nontrivial effort on the reader's part to traverse.
- Useful related words include: random.
- In the example corpus, ergodic often appears in combinations such as: an ergodic.
Context around Ergodic
- Average sentence length in these examples: 21.3 words
- Position in the sentence: 4 start, 2 middle, 3 end
- Sentence types: 9 statements, 0 questions, 0 exclamations
Corpus analysis for Ergodic
- In this selection, "ergodic" usually appears near the start of the sentence. The average example has 21.3 words, and this corpus slice is mostly made up of statements.
- Around the word, postulate, non, hypothesis, process and axioms stand out and add context to how "ergodic" is used.
- Recognizable usage signals include an ergodic process is and are not ergodic. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "ergodic" sits close to words such as aakash, aanholt and aardwolf, which helps place it inside the broader word index.
Example types with ergodic
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
The ergodic theorem has also had repercussions for dynamics. (9 words)
This approach has limited applicability, since most systems are not ergodic. (11 words)
A very small mutation rate may lead to genetic drift (which is non- ergodic in nature). (16 words)
There are various arguments in favour of the equal a priori probability postulate: * Ergodic hypothesis : An ergodic state is one that evolves over time to explore "all accessible" states: all those with the same energy and composition. (37 words)
Two famous papers are: citation. citation. citation Of the 1932 papers on ergodic theory, Paul Halmos writes that even "if von Neumann had never done anything else, they would have been sufficient to guarantee him mathematical immortality". (37 words)
Ergodic systems main In many dynamical systems, it is possible to choose the coordinates of the system so that the volume (really a ν-dimensional volume) in phase space is invariant. (31 words)
Example sentences (9)
There are various arguments in favour of the equal a priori probability postulate: * Ergodic hypothesis : An ergodic state is one that evolves over time to explore "all accessible" states: all those with the same energy and composition.
An ergodic process is one in which there is no path dependence; all paths are representative of the whole.
A very small mutation rate may lead to genetic drift (which is non- ergodic in nature).
Babylonian thought was also based on an open-systems ontology which is compatible with ergodic axioms.
Ergodic systems main In many dynamical systems, it is possible to choose the coordinates of the system so that the volume (really a ν-dimensional volume) in phase space is invariant.
In an ergodic system, the microcanonical ensemble is the only possible equilibrium ensemble with fixed energy.
The ergodic theorem has also had repercussions for dynamics.
This approach has limited applicability, since most systems are not ergodic.
Two famous papers are: citation. citation. citation Of the 1932 papers on ergodic theory, Paul Halmos writes that even "if von Neumann had never done anything else, they would have been sufficient to guarantee him mathematical immortality".
Common combinations with ergodic
These word pairs occur most frequently in English texts:
- an ergodic 3×