"For example, if ⊕ is addition, then the all-prefix-sums operation on the ordered set
[3 1 7 0 4 1 6 3],
would return
[3 4 11 11 14 16 22 25]."
...and I am totally lost to the rest of the article, because some part of my brain is trying to figure out, "why 14?! shouldn't it be 15?!"