640 MESSRS A. T. DOODSON, R. M. CAREY, AND R. BALDWIN, THEORETICAL 
Table II. 
Values of p(x) for a?=0 to x=\, Western System. 
, 
u 3 p(x) 
10 16 
X. 
Isjo 
X. 
u 3 p{x) 
To 15 ' 
X. 
1 
u z V (x) 
10 1 * 
X. 
v?p(x) 
10 15 
■01 
•075 
•21 
•800 
•41 
9-60 
•61 
17-70 
•81 
16-98 
•02 
•148 
•22 
•792 
•42 
10-65 
•62 
17-90 
•82 
16-47 
03 
•208 
■23 
•820 
•43 
11-38 
■63 
18-08 
•83 
15-97 
■04 
•230 
•24 
•875 
•44 
12-00 
•64 
18-25 
■84 
15-50 
■05 
■205 
•25 
•945 
•45 
12-55 
■65 
18-42 
•85 
15-10 
•06 
•243 
•26 
■945 
46 
13-06 
•66 
18-59 
■86 
14-90 
•07 
•380 
•27 
•850 
•47 
13-50 
•67 
18-74 
■87 
1510 
■08 
•562 
•28 
•708 
•48 
13-91 
•68 
18-87 
•88 
15-S8 
•09 
•730 
•29 
•680 
•49 
14-29 
•69 
18-98 
•89 
17-50 
•10 
•860 
•30 
•750 
•50 
14-65 
•70 
19-08 
•90 
19-65 
■11 
•918 
•31 
1-000 
•51 
15-00 
•71 
19-15 
•91 
21-80 
T2 
•895 
•32 
1-575 
•52 
1534 
•72 
19-20 
■92 
23-85 
•13 
•770 
•33 
2T50 
•53 
15-67 
•73 
19-22 
•93 
25-78 
•14 
■662 
•34 
2-550 
•54 
15-97 
•74 
19-20 
•94 
27'55 
•15 
•648 
•35 
2-975 
•55 
16'25 
•75 
19T2 
•95 
29-18 
•16 
•690 
•36 
3-500 
■56 
16-52 
•76 
18-98 
■96 
30 63 
T7 
•795 
•37 
4-250 
■57 
16-78 
■77 
18-73 
•97 
31-88 
•18 
•878 
•38 
5-300 
■58 
17-02 
•78 
18-38 
•98 
32-90 
•19 
■880 
•39 
6-750 
•59 
17-25 
•79 
17-95 
•99 
33-70 
•20 
•845 
•40 
8-250 
•60 
17-48 
•80 
17-48 
LOO 
34 25 
Table III. 
Values of p(x) for x = 0 to x = 1 , Eastern System. 
(The value of x iu the western system is the excess of 2 over the eastern value of x.) 
X. 
u 3 p(x) 
10 15 
X. 
u 3 p(x) 
To ^~ ‘ 
X. 
u 3 p(x) 1 
10 15 
X. 
u 3 p(x) 
"10“' ‘ 
X. 
u 3 p(x) 
1Q15 
•01 
•42 
•21 
12-92 
•41 
20-88 
•61 
30-42 
•81 
35-50 
•02 
•87 
•22 
13-44 
•42 
21-29 
•62 
30-93 
■82 
35-22 
03 
L35 
•23 
13-97 
■43 
21-72 
•63 
31-43 
•83 
34-88 
•04 
1-85 
•24 
14-47 
•44 
22T5 
•64 
31-91 
■84 
34-51 
•05 
2-39 
•25 
14-93 
•45 
22-58 
■65 
32-38 
•85 
34-12 
•06 
3-05 
■26 
15-36 
•46 
23-02 
■66 
32-84 
•86 
3373 
•07 
3-85 
•27 
1575 
•47 
23-47 
■67 
33-29 
•87 
33-38 
•08 
4-82 
•28 
16T0 
•48 
23-93 
•68 
33 72 
■88 
33 05 
.09 
5-98 
•29 
16-45 
•49 
24-40 
■69 
34T2 
•89 
32-80 
•10 
7-24 
■30 
16-80 
■50 
24-87 
•70 
34-48 
•90 
32-65 
•11 
8-28 
•31 
17T5 
•51 
25 35 
■71 
34-82 
•91 
32-60 
T2 
8-89 
•32 
17-49 
•52 
25-83 
•72 
35T2 
•92 
32-67 
•13 
9-35 
•33 
17-83 
•53 
26-32 
•73 
35-39 
•93 
32-87 
T4 
9-73 
•34 
18T8 
•54 
26-82 
•74 
35-61 
•94 
3317 
•15 
10-13 
•35 
18-55 
•55 
27-33 
■75 
35-79 
•95 
33-57 
T6 
10-54 
•36 
18-93 
•56 
27-84 
1 '76 
35-90 
■96 
34-02 
•17 
1097 
•37 
19-31 
■57 
2836 
*•77 
35-95 
■97 
34 42 
•18 
11-43 
•38 
19-69 
•58 
28-88 
•78 
35-94 
•98 
34-59 
T9 
11-91 
•39 
20-08 
■59 
29 40 1 
•79 
35-87 
•99 
34-55 
■20 
12-41 
•40 
20-48 
■60 
29-91 
•80 
35-72 
1-00 
34-25 
