Phrase guide

Riemann sum

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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Pronunciation

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1

noun

Meaning 1

A certain kind of approximation of an integral by a finite sum that is calculated by dividing the interval of integration into smaller sub-intervals and summing sample values of the integrand inside those sub-intervals multiplied by their lengths.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Named after Bernhard Riemann, a German mathematician.

Across languages

Translations

4 source translations are retained for this English entry.

  • French: somme de Riemann — kind of approximation of an integral
  • Polish: suma Riemanna — kind of approximation of an integral
  • Portuguese: soma de Riemann — kind of approximation of an integral
  • Spanish: suma de Riemann — kind of approximation of an integral