Mr. Boos on the Analysis of Discontinuous Functions. 139 
If r(w) =u, we obtain from the general theorem that root of the equation 
J(u) = x, which is represented by $(v), where v is the least root of the 
equation 
S{oo)] = «x. 
-Methods of determining the form of ¢, so as to accomplish particular objects, 
will suggest themselves to the reader. 
