Phrase guide

continuous 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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No pronunciation record was provided for this word.

1

noun

Meaning 1

a function whose value at any point in its domain is equal its limit at the same point

Definition source: English Wiktionary via Wiktextract

Topics: mathematical-analysis, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

a function from one topological space to another, such that the inverse image of any open set is open

Definition source: English Wiktionary via Wiktextract

Topics: mathematical-analysis, mathematics, sciences, topology

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

18 source translations are retained for this English entry.

  • Armenian: անընդհատ ֆունկցիա (anəndhat funkcʻia) — function whose value changes only slightly when its input changes slightly
  • Bulgarian: непрекъсната функция (neprekǎsnata funkcija) — function whose value changes only slightly when its input changes slightly
  • Catalan: funció contínua — function whose value changes only slightly when its input changes slightly
  • Czech: spojitá funkce — function whose value changes only slightly when its input changes slightly
  • Danish: kontinuert funktion — function whose value changes only slightly when its input changes slightly
  • French: fonction continue — function whose value changes only slightly when its input changes slightly
  • German: stetige Funktion — function whose value changes only slightly when its input changes slightly
  • Hungarian: folytonos függvény — function whose value changes only slightly when its input changes slightly
  • Polish: funkcja ciągła — function whose value changes only slightly when its input changes slightly
  • Romanian: funcție continuă — function whose value changes only slightly when its input changes slightly
  • Russian: непрерывная функция (nepreryvnaja funkcija) — function whose value changes only slightly when its input changes slightly
  • Spanish: función continua — function whose value changes only slightly when its input changes slightly
  • Bulgarian: непрекъсната функция (neprekǎsnata funkcija) — function from one topological space to another
  • Danish: kontinuert funktion — function from one topological space to another
  • French: fonction continue — function from one topological space to another
  • German: stetige Funktion — function from one topological space to another
  • Polish: funkcja ciągła — function from one topological space to another
  • Romanian: funcție continuă — function from one topological space to another