and

for every fifth degree from

to

, gives an estimate of the order of magnitude of these functions:—

20 0.132 0.001 0.002
25 0.011
30 0.333 0.021 0.048
35 0.490 0.080 0.217
40 0.704 0.373 1.549
45 1.000 ......... .........
50 1.420 1.708 4.438
55 2.040 1.233 1.839
60 3.000 1.093 1.301
65 4.599 1.037 1.115
70 7.548 1.013 1.041