3 ms·
> I am not sure what all the products are sisj These symbols are intended to refer to the areas of overlap between the circular sections s_i and s_j. It is an
by nilkn 11y ago
> I am not sure what all the products are sisj
These symbols are intended to refer to the areas of overlap between the circular sections s_i and s_j.
It is an odd notation and it's not one that I've seen before. You can infer what it means though when earlier in the paper they refer to the "product" C * P_n as the "part of P_n lying in C".
- arghbleargh 11y agoThe notation is indeed a bit non-standard (we would generally use intersections nowadays), but it's not completely ad hoc. If you think of P_n as the indicator function of the polygon (i.e. P_n(x) = 1 if x is in the polygon and 0 otherwise), then it makes sense. (There is still a little bit of sloppiness from using P_n to denote the area of a polygon as well as the polygon itself.)