In reimann stieltjes integral if we assume a(x) = x then it becomes reimann integral so we can say R-S integral is generalized form of reimann integral.
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riemann tensor=0 where R=Riemann tensor 0=the surface is flat
In mathematics, a Riemann sum is a summation of a large number of small partitions of a region. It may be used to define the integration operation. The method was named after German mathematician Bernhard Riemann.
No
There is really no telling if generalization is correct. It is told that generalization is never correct and some has told that generalization is sometime correct so it depends on a person opinion.
Several mathematicians have addressed the Riemann hypothesis, but none of their attempts have yet been accepted as correct solutions.