Riemann integral

Noun

Meaning

Riemann integral (plural Riemann integrals)

English Wikipedia has an article on:Riemann integralWikipedia
(mathematical analysis) A type of integral whose computation involves dividing the interval of integration into smaller sub-intervals, summing sample values of the integrand inside those sub-intervals multiplied by their lengths, and letting the number of sub-intervals tend to infinity.

Source: en.wiktionary.org

Examples

A "proper" Riemann integral assumes the integrand is defined and finite on a closed and bounded interval, bracketed by the limits of integration. Source: Internet

As such, they have no Riemann integral. Source: Internet

Every continuous function : is integrable (for example in the sense of the Riemann integral ). Source: Internet

"Many functions in L 2 of Lebesgue measure, being unbounded, cannot be integrated with the classical Riemann integral. Source: Internet

But this is a fact that is beyond the reach of the Riemann integral. Source: Internet

However, many functions that can be obtained as limits are not Riemann-integrable, and so such limit theorems do not hold with the Riemann integral. Source: Internet

Close letter words and terms

Riemann curvature Riemann curvature tensor Riemann hypothesis Riemann integration Riemann space Riemann sphere