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Partition Of An IntervalIn mathematics, a partition of an interval b on the real line is a finite sequence of the form - a = x0 < x1 < x2 < ... < xn = b.
Such partitions are used in the theory of the Riemann integral and the Riemann-Stieltjes integral. The mesh of the partition - x0 < x1 < x2 < ... < xn
is the length of the longest of these subintervals; it is - max{ |xi − xi−1| : i = 1, ..., n }.
As the mesh approaches zero, a Riemann sum based on the partition approaches the Riemann integral.
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