Phrase guide

intermediate value theorem

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.

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1

noun

Meaning 1

A theorem that states for each value between the least upper bound and greatest lower bound of the image of a continuous function there is a corresponding point in its domain that the function maps to that value.

Definition source: English Wiktionary via Wiktextract

Topics: calculus, mathematics, sciences

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Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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Across languages

Translations

14 source translations are retained for this English entry.

  • Asturian: teorema del valor entemediu — mathematical theorem
  • Catalan: teorema del valor intermedi — mathematical theorem
  • Finnish: jatkuvien funktioiden väliarvolause — mathematical theorem
  • Finnish: väliarvolause — mathematical theorem
  • French: théorème des valeurs intermédiaires — mathematical theorem
  • Galician: teorema del valor intermedio — mathematical theorem
  • German: Zwischenwertsatz — mathematical theorem
  • Hebrew: משפט ערך הביניים (mishpát érech habeynáim) — mathematical theorem
  • Italian: teorema dei valori intermedi — mathematical theorem
  • Portuguese: teorema do valor intermediário — mathematical theorem
  • Portuguese: teorema do valor intermédio — mathematical theorem
  • Russian: теоре́ма о промежу́точном значе́нии (teoréma o promežútočnom značénii) — mathematical theorem
  • Russian: теоре́ма Больца́но-Коши́ (teoréma Bolʹcáno-Koší) — mathematical theorem
  • Spanish: teorema del valor intermedio — mathematical theorem