1897 - 98 .] Dr Walker on the Velocity of Graded Actions. 29 
To afford an idea of the relation between the above formula and 
that developed on the assumption that a really double reaction is 
simple, I have calculated values of z for reactions in which 
m = 0*01 and w = 0'01, 0*1, and TO respectively, A in each case 
being 1. The values of z thus obtained have then been taken as 
if they were derived from a simple reaction, and the values of the 
“constant” C of this imaginary action calculated. 
m 
= o-oi 
n = 0-01 
t 
z 
C 
10 
0*005 
0-00056 
40 
0-062 
000159 
100 
0-264 
0-00306 
200 
0-595 
0-00328 
400 
0-909 
0-00598 
1000 
0-9995 
0-0076 
m 
= o-oi 
n = 0-1 
t 
z 
C 
10 
0-036 
0-00366 
40 
0-258 
0-00740 
100 
0-591 
0-00892 
200 
0-850 
0-00948 
400 
0-980 
0-00978 
m 
= o-oi 
n = 1-0 
t 
z 
C 
5 
0-0292 
0-00593 
10 
0-086 
0-00900 
20 
0-173 
0-00947 
40 
0-323 
0-00974 
100 
0*628 
0-00987 
200 
0-864 
0-00994 
It will be seen that when ft = 100m, which is a very moderate 
ratio between reaction velocities, the second reaction might be 
