Moments of segregating solution

The moments of the segregating solution with the continuous initial NDF can be computed analytically from Eq. (C.7)  

Readers can note that the upper and lower bounds on the nonzero region correspond to the characteristics computed from Eq. (C.6) starting at x(0) = 0. The weights and abscissas for this case have a simple form  

Owing to segregation, this system creates a vacuum zone in which the abscissa cannot be defined. Outside this region the weights and abscissas are constant. 

---