A sum of the form Σf(yi)(xi − xi ₋ ₁), summed over all the points i of a set, which can be used to approximate the area under a curve or the value of an integral.
Origin
1920s; earliest use found in Annals of Mathematics.
Definition of Riemann sum in US English:
Riemann sum
noun
Mathematics
A sum of the form Σf(yi)(xi − xi ₋ ₁), summed over all the points i of a set, which can be used to approximate the area under a curve or the value of an integral.
Origin
1920s; earliest use found in Annals of Mathematics.