256 
Mr.  A.  Russell  on  the 
For  values  of  xja  greater  than  unity  the  values  of  fx  can 
be  computed  by  the  remarkably  simple  formula 
fl  =  Xla  +  ^+1  +  (x/a  + 1)  (x/a  +  2)3  *    *     '     (24) 
Hence  it  is  unnecessary  to  tabulate  the  values  of  fx  when 
xja  is  greater  than  4.  The  first  row  in  the  following  table 
is  taken  from  Schuster's  paper,  the  second  row  is  calculated 
by  the  formula 
and  the  third  row  by  (24). 
Table  II. — Values  of /^ 
x/a. 
Schuster's  values  ... 
/,  by  (25) 
4. 
4-200 
4-200 
4-201 
5. 
5-172 
5-167 
5-167 
6.                 7. 
8. 
6-144           7126 
6143           7-125 
6143           7-125 
8111 
8-111 
8-111 
/\  bv  (24) 
The  values  of  f1  given  in  the  last  row  are  the  correct  values. 
Table  III. — Values  of/. 
x/a. 
q  by  (i). 
/by  (15). 
/by  (21). 
/by  (20). 
00 
10000 
1-000 
1-0000 
roooo 
o-i 
0-7298 
1-034 
1-0336 
10343 
0-2 
0  6417 
1-068 
10676 
1-0686 
03 
0-5*21 
1-102 
1-1020 
11032 
0-4 
0-5367 
1-137 
1-1370 
1-1384 
0-5 
0-5000 
1-173 
11724 
11735 
06 
0-4693 
1-208 
1-2083 
1-2095 
0-7 
0  4431 
1-245 
1-2447 
1-2460 
0-8 
04202 
1-283 
1-2814 
1-2832 
09 
0-4006 
1-321 
1-3190 
1-3210 
10 
0-3820 
1-359 
1-3594 
1-5 
0-3139 
1-559 
15594 
2-0 
02680 
1-770 
1-7704 
30 
02087 
2-214 
2-2149 
4-0 
01716 
2-677 
2-6777 
50 
01459 
3151 
3-1513 
60 
01270 
3-632 
3-6317 
7-0 
0-1125 
4-117 
41165 
80 
01010 
4-604 
4-6044 
90 
0-0917 
5-095 
50946 
100 
0-0838 
5-586 
5-5865 
1000 
00098 
50-51 
50-5098 
1000-0 
0-0012 
500-5 
500-5010 
