520 



PROCEEDINGS OF THE AMERICAN ACADEMY. 



For /j, = 40, and s = 1, the series and the parentheses which appear in 



this equation have at different times the approximate values given in 

 Table VI. 



TABLE VI. 



t 2 



0.00 6.2500 



0.25 1.2985 



0.50 0.8783 



0.75 0.6743 



1.00 0.5454 



1.25 0.4530 



1.50 0.3814 



2.00 0.2748 



3.00 0.1456 



4.00 0.0775 



6.00 0.0219 



8.00 0.0062 



10.00 0.0017 



Figure 7. 



Figure 7 shows O plotted against t for p, = 40, 80, 160, and 320. 



Since 4 -n- q — — 911,5 r, it follows from equation (33) that the value of 

 q in the case of the growing O is the negative of the value given by equa- 

 tion (32) for the case of decaying C. Figure 8 shows the value of q at 

 different times for jx = 40, 80, and 160, r = a/10, and s = 1. 



When s = 2.5, the equation corresponding to (29) is 



