Vaschy-Buckingham Pi-theorem: n variables with k independent dimensions reduce to n-k dimensionless groups

Vaschy-Buckingham Pi-theorem framework (structured statement). Setup: a physical relation f(q_1, q_2, ..., q_n) = 0 among n dimensional quantities q_i, where the dimensions of the q_i span a k-dimensional space over Q within the (M, L, T,…