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Riemann sum

Riemann sum noun: 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.

Noun

Riemann sum (plural Riemann sums)

  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.

Forms of Riemann sum

pluralRiemann sums

Origin of Riemann sum

Named after Bernhard Riemann, a German mathematician.

Questions about Riemann sum

What does Riemann sum mean?
Riemann sum means 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.
What part of speech is Riemann sum?
Riemann sum is a noun.
What is the plural of Riemann sum?
The plural of Riemann sum is Riemann sums.

Words near Riemann sum in the dictionary

  1. Riemann integrals
  2. Riemann space
  3. Riemann spaces
  4. Riemann sphere
  5. Riemann spheres
  6. Riemann sum
  7. Riemann surface
  8. Riemann surfaces
  9. Riemann zeta function
  10. Riemann zeta functions
  11. Riemann zeta-function

Source and license

Adapted from Wiktionary: Riemann sum (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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