CIRCUIT IIIEORY AND OI'V.KAIIONAL CALCULUS 7ol 



unsatisfactory. To tlu- i)hysi(ist it is unsatisfactory l>ecause he 

 requires an automatic rule n'^i"K ^i correct asymptotic expansion by 

 purel>' al^cebraic o|K'rations without invest ijjations of remainder terms 

 or auxiliar>' functions, l-urthermore, the precise sense in which the 

 expansion asymptoticailv represents llie sohition cannot be stated in 

 general, Init retjuires an independent investij;ation in the case of each 

 individual problem. 



On the other luuul when an asymptotic expansion is known tt) exist, 

 the Ueaviside Rule finds this expansion with incomparable directness 

 and simplicity, the problem of justifying the expansion being a purely 

 mathematical one, which usually need not trouble the physicist. 

 I'urihermore, on the purely mathematical side, the Heaviside Rule 

 is of large interest and should lead to interesting developments in the 

 theoPk' of asymptotic expansions. 



{To be continued) 



