Phrase guide

detailed balance

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

a Markov process is said to show detailed balance if the transition rates between each pair of states i and j in the state space obey

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, probability-theory, sciences

Examples

  • P_ijπi=P_jiπj,
  • where P is the Markov transition matrix and πi and πj are the equilibrium probabilities of being in states i and j, respectively.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

4 source translations are retained for this English entry.

  • Bulgarian: условие на баланса (uslovie na balansa) — a quality of Markov processes
  • German: detailliertes Gleichgewicht — a quality of Markov processes
  • German: detailed balance — a quality of Markov processes
  • Hebrew: איזון מפורט (izún meforát) — a quality of Markov processes