Figure 1.

Visualization of recursion. Visualization of recursion with k, the numbers of experiments, on the y-axis, and j, the index of the interval that contains the rank product ρ, on the x-axis. Nodes correspond to combinations of k and j. The squares are given: ${\tilde{G}}_{k0}\left(\rho \right)=n^k\text{,}$ with n the number of molecules. The arrows show the dependencies between the nodes. For example, to compute ${\tilde{G}}_{4,2}\left(\rho \right)\text{,}$ we first need to compute ${\tilde{G}}_{3,1}\left(\rho \right)$ and ${\tilde{G}}_{3,2}\left(\rho \right)$. The red path visualizes the calculations required to obtain ${\tilde{G}}_{5,3}\left(\rho \right)\text{.}$