PRACTICAL APPLICATION OF THE FOURIER INTEGRAL 693 

 Continued 



Cause: Unit Step (0, 1) 

 Effect: ^J^\iY{p)lp'] 



Cause: Unit Cisoid X Unit Step (0, 1) 

 Effect: S^}(\:Y(P)Kp - Po):\ 



l^\exp{-yyl2^) erfc^-^- V2/3A 

 exp (y^W) erfc /'-^ + ^2^ j 1 , 



+ 



818, 415^ 



< / 



Ig^-'fexpC- yyl2^ + Po) 



X erfc /'-^ - V(2^ + ^o)A 



+ exp (yylWTJo) 

 X erfc (-^. + V(2/3 + Po)t\\ , 

 819 



<t 



u 

 -7= exp 



(-^^^0 



+ 



;V2^ 



xTexpC- 3;V2iS)erfc(-^ - ^2^n 

 - exp C^' V2^) erfc ( -77- + ^2^ ) ' 



^2^ + ^%-'[exp(-W^^T7o) 



+ 



< / 



Xerfc^-^- V(2/3 + ^o)n 



-exp(yV2^ +^0) 



X erfc {-^ + V(2/3+/Po)Al , 



< / 



821, 415=* 



822 



— i— rexp(-3.V2/3) 

 2uyl2^l 



X erfc ( -^ - V2^ j - exp (>'V2^) 

 Xerfc(^+V2^)], 



^,t 



< / 



824, 415^ 



, [exp (- yV2/3 + Po) 



2mV2/3 + ^0 L 



Xerfc^-^- V(2/3 + ^o)A 



- exp (yyl2^ + ^0) 



X erfc C^- + V(2^+^o)Al , < / 



825 



e-"'Io{az), 



< t 



861 



I ke-"'l2atlx{at) 



+ (1 + 2at)h{at)'], < / 



: 554* 



