If a polycyclic-by-finite rank-K group Γ admits a faithful affine representation making it acting on R K properly discontinuously and with compact quotient, we say that Γ admits an affine structure.

New work establishes a tighter connection between the rank of a polynomial and the extent to which it favors particular outputs. When you deposit a quarter and turn the crank on a gumball machine, the ...

I can find the best-fit polynomial function for the array, y = ax^2 + bx + c (where y = voltage output and x = incident temperature), and if I have arrays of data at flat fields captured at known T0, ...