The Popov-Fedotov trick uses non-Hermitian couplings to avoid the need for these functions. Dirac defines the ‘first-class’ type of these functions as having a weakly vanishing Poisson bracket with the primary type of these functions. These functions are rheonomous if they have explicit time dependence and scleronomous otherwise. (15[1])Because rolling without (*) slipping depends on generalised (-5[1])velocities, it is a non-holonomic example of one of these statements. (-5[1])The number of degrees of freedom is equal to the dimension of space times the number of particles minus the number of these statements, examples of which include the distance between a pendulum bob and its attachment being constant if connected by an inextensible rod. For 10 points, give these statements that mean the coordinates of particles cannot take any values but must satisfy certain conditions. ■END■ (10[1]0[1])