sum

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Calculate the summation over one or more user-defined extents of a vector x. Depending on the number of extents, the result of the function is a vector or a scalar.

Usage
sum(x, us, os, n)
sum(x, uv, ov)
sum(x, rv)
sum(x, rm)
x
the data vector
us, os, n
Every pair {us+d*i, us+d*(i+1)} (with: d=(os-us)/n, i=0..n-1) defines an index extent to sum. All three arguments are scalars.
uv, ov
Every pair {uv[i], ov[i]} (with: i=0..nrow(uv)-1) defines an index extent to sum. Both arguments must be vectors with same length.
rv
Every pair {rv[i], rv[i+1]} (with: i=0..nrow(rv)-2) defines an index extent to sum. The argument must be vector.
rm
Every pair {rm[i,0], rm[i,1]} (with: i=0..nrow(rm)-1) defines an index extent to sum. The argument must be matrix with 2 columns.
Result
The result r is a scalar or a vector. Each element ri is the sum of the x values over the i-th index extent.
See also
wsum, hist, avr

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