PEIRCE. — MANNER OF GROWTH OP A CURRENT. 521 



5 • J Q (z) = z • J5 (»), (36) 



and the first rive roots have approximately the values given below. 



TABLE VII. 



n x a= 1.9898 

 « 2 o= 4.7132 

 n 3 a= 7.6177 

 n 4 a = 10.6223 

 » s a = 13.6786 



Figure 8. 



and for yx = 40, the series of (35) has approximately the values given in 

 Table VIII. 



TABLE VIII. 



t 



0.00 

 0.25 

 0.50 

 0.75 

 1.00 

 1.25 

 1.50 

 2.00 

 3.00 

 4.00 

 5.00 

 6.00 

 8.00 

 10.00 



2 

 2.5000 

 1.0729 

 0.8052 

 0.6542 

 0.5511 

 0.4732 

 0.4111 

 0.3151 

 0.1889 

 0.1137 

 0.0685 

 0.0413 

 0.0150 

 0.0054 



-' - N . 



"o ^ 



1.0000 

 0.4292 

 0.3221 

 0.2617 

 0.2204 

 0.1893 

 0.1644 

 0.1260 

 0.0756 

 0.0455 

 0.0274 

 0.0165 

 0.0060 

 0.0022 



0.0000 

 0.5708 

 0.6779 

 0.7383 

 0.7796 

 0.8107 

 0.8356 

 0.8740 

 0.9244 

 0.9545 

 0.9726 

 0.9835 

 0.9940 

 0.9978 



