Phrase guide

transition function

noun · 2 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 function from (state, input symbol) to state describing what state to move to on receiving a given input in a given state.

Definition source: English Wiktionary via Wiktextract

Topics: computing, computing-theory, engineering, mathematics, natural-sciences, physical-sciences, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

A homeomorphism that bijects between the subsets of the images of two overlapping coordinate charts that are shared in the preimage: For (U_1,φ1) and (U_2,φ2) coordinate charts with U_1∩U_2≠∅, the transition functions φ12=φ2∘φ1−1 and its inverse φ21=φ1∘φ2−1 may be constructed.

Definition source: English Wiktionary via Wiktextract

Qualifier: differential geometry

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: transition map

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

9 source translations are retained for this English entry.

  • Bulgarian: функция на прехода (funkcija na prehoda) — function from (state, input symbol) to state
  • Finnish: siirtymäfunktio — function from (state, input symbol) to state
  • German: Übergangsfunktion — function from (state, input symbol) to state
  • Romanian: funcție de tranziție — function from (state, input symbol) to state
  • Bulgarian: функция на прехода (funkcija na prehoda) — homeomorphism between subsets of images of overlapping coordinate charts
  • Finnish: transitiokuvaus — homeomorphism between subsets of images of overlapping coordinate charts
  • German: Übergangsfunktion — homeomorphism between subsets of images of overlapping coordinate charts
  • German: Kartenübergang — homeomorphism between subsets of images of overlapping coordinate charts
  • German: Kartenwechsel — homeomorphism between subsets of images of overlapping coordinate charts