(literature, information science) Of or relating to a literary work that requires nontrivial effort on the reader's part to traverse.
Used in a Sentence
ergodic
Definitions, parts of speech, synonyms, and sentence examples for ergodic.
Editorial note
Fair enough, although even that terse lecture hand-waved (by leaving it to a reference) about ergodic systems.
Examples17
Definitions3
Parts of speech1
Quick take
(literature, information science) Of or relating to a literary work that requires nontrivial effort on the reader's part to traverse.
Meaning at a glance
The clearest senses and uses of ergodic gathered in one view.
(mathematics, physics) Of or relating to certain systems that, given enough time, will eventually return to a previously experienced state.
(statistics, engineering) Of or relating to a process in which every sequence or sample of sufficient size is equally representative of the whole.
Definitions
Core meanings and parts of speech for ergodic.
adjective
(literature, information science) Of or relating to a literary work that requires nontrivial effort on the reader's part to traverse.
adjective
(mathematics, physics) Of or relating to certain systems that, given enough time, will eventually return to a previously experienced state.
adjective
(statistics, engineering) Of or relating to a process in which every sequence or sample of sufficient size is equally representative of the whole.
Example sentences
Fair enough, although even that terse lecture hand-waved (by leaving it to a reference) about ergodic systems.
Descriptive set theory is applied in functional analysis and in ergodic theory, which in turn is applied to statistical physics.
Hark to the gentle gradient of the breeze: It whispers of a more ergodic zone.
Proof for the conjecture that William Thurston's earthquake flow on Teichmüller space is ergodic.
Indeed it's the eigenvalues of the transition matrix (or convergence for ergodic ones) to which I was referring.
I heard it praised as being an ergodic piece, but the preview I read seemed fairly straightforward.
Then get to apply some group theory (from abstract algebra) and borrow a little from classic ergodic theory to calculate false alarm rate.
Pouring cream into coffee and then mixing it is ergodic - after a sufficiently long time, you might as well have just arranged all the molecules at random.
The Woes of Writing Markdown (And the wishes of SquiggleMark) is an essay about some of the technical and artistic challenges inherent to writing ergodic text using markup language.
An approach to ergodic regime, nonlinear behaviour.
But ultimately, this question is probably linked to the ergodic hypothesis which is central to the foundations of statistical mechanics---so it's an important question for all physicists, not just me!
So now (thanks to the ergodic theorem) we just need to know the average of log x when we pick x according to our probability distribution.
Quote examples
There are several different "ergodic theorems" that make this rigorous with different meanings of "sample fairly".
They are "ergodic" if the state after the system has run for a long time is like picking a state randomly from the set of all possible states.
"Flow equivalences of subshifts of finite type." Ergodic Theory and Dynamical Systems (1984).
Mapping that number into different modular spaces, or permuting the coefficients of its various representations so that you can get it back later ("encrypting the message") forms the basis of the field of cryptography, which in turn is closely related to information theory and the theory of ergodic processes, etc, etc, etc.
Proper noun examples
Ergodic theory is the study of dynamical systems (things that change over time) that are allowed to run for a long time.
Frequently asked questions
Short answers drawn from the clearest meanings and examples for this word.
How do you use ergodic in a sentence?
Fair enough, although even that terse lecture hand-waved (by leaving it to a reference) about ergodic systems.
What does ergodic mean?
(literature, information science) Of or relating to a literary work that requires nontrivial effort on the reader's part to traverse.
What part of speech is ergodic?
ergodic is commonly used as adjective.