sum

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

us is the lowest index, os the highest and n the number of extents. All three arguments are scalars. Every pair {'us'+d*k, us+d*(k+1)} (with: d=(os-us)/n, k=0..n-1) defines an index extent to sum.

uv, ov

Every pair {uv[k], ov[k]} (with: k=0..nrow(uv)-1) defines an index extent to sum. Both arguments must be vectors with same length.

rv

Every pair {rv[k], rv[k+1]} (with: k=0..nrow(rv)-2) defines an index extent to sum. The argument must be vector.

rm

Every pair {rm[k,0], rm[k,1]} (with: k=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 r_i is the sum of the x values over the i-th index extent.

See also

wsum, hist

<function list>