248 MATHEMATICS: T. H. GRONWALL 
The following summary of results is appended. 
Effect of meat ingestion on hourly metabolism 
o 
CALORIES 
§ 
H 
w 
o 
§ 
DATE 
FOOD 
w g 
C/5 
O 
O H 
HOURS AFTER FOOD 
X 
as 
5 
M 
•J. o 
o 
<u 
o 
6o 
w 
'A 
5 
o 
1919 
27 
Feb. 6 
Basal 
2 
0.15 
0.84 
15.92 
16.08 
(Weight = 11.24kgm.) 
29 
Feb. 17 
Meat, 700 g. 
3 
1.40 
0.820 
29.97 
30.01 
0.60 
0.73 
4, 5,6 
30 
Feb. 18 
Meat, 800 g. 
3 
1.46 
0.800 
31.47 
32.75 
0.66 
0.83 
4, 5,6 
31 
Feb. 19 
Meat, 900 g. 
3 
1.47 
0.787 
34.33 
0.48 
0.96 
4,5,6 
32 
Feb. 20 
Meat, 1000 g 
2 
1.46 
0.797 
34.27 
34.50 
0.42 
0.87 
4,5 
2 
1.46 
0 820 
35.50 
37.20 
0.23 
0.62 
6, 7 
33 
Feb. 21 
Meat, llOOg. 
2 
1.45 
0.831 
31.65 
31.36 
0.56 
0.68 
4,5 
2 
1.45 
0.843 
35.28 
34.54 
0.25 
0.49 
6,7 
34 
Feb. 24 
Meat, 1080 g.* 
2 
1.57 
0.800 
34.00 
34.12 
0.70 
0.83 
4,5 
35 
Feb. 26 
Basal 
3 
0.27 
0.82 
19.74 
19.59 
(Weight = 12.07 kgm.) 
36 
Feb. 27 
Basal 
3 
0.20 
0.83 
18.25 
17.16 
37 
Feb. 28 
Basal 
2 
0.17 
0.85 
17.30 
16.95 
38 
Mar. 1 
Basal 
2 
0.15 
0.82 
18.21 
39 
Mar. 3 
Basal 
3 
0.15 
0.85 
17.57 
17.22 
43 
Mar. 12 
Basal 
2 
0.15 
0.81 
17.08 
16.99 
0 
(Weight = 11.50 kgm.) 
46 
Mar. 17 
Meat, 1200 g. 
3 
1.02 
0.796 
26.57 
28.10 
0 
5, 6, 7 after 1 day's fast 
47 
Mar. 18 
Meat, 800 g. 
3 
1.44 
0.795 
29.90 
30.77 
0.77 
0.84 
5, 6,7 
48 
Mar. 19 
Meat, 800 g. 
4 
1.35 
0.793 
29.37 
30.27 
0.61 
0.86 
5 to 8 
49 
Mar. 22 
Basal 
2 
0.23 
0.79 
17.72 
17.54 
50 
Mar. 24 
Basal 
2 
0.16 
0.84 
17.26 
16.87 
51 
Mar. 28 
Meat, 800 g. 
4 
1.02 
0.795 
27.04 
27.52 
5 to 8 after 4 days' fast 
54 
Apr. 15 
Meat, 800 g. 
4 
1.41 
0.794 
31.07 
30.57 
0.59 
0.86 
5 to 8 
55 
Apr. 16 
Meat, 1000 g. 
4 
1.58 
0.797 
31.97 
31.98 
0.91 
0.83 
5 to 8 
56 
Apr. 19 
Meat, 1300 g. 
4 
1.47 
0.826 
31.62 
33.25 
0.59 
0.71 
5 to 8 after 1 day's fast 
* Standard diet at 5 p.m. and thereafter daily until March 15. 
ON THE TWIST IN CONFORMED MAPPING 
By T. H. Gronwall 
Range Firing Section, Aberdeen Proving Ground 
Communicated by E. H. Moore, April 29, 1919 
Note II on Conformal Mapping under aid of Grant No. 207 from the Bache 
Fund. 
Let w = w{z) be a power series in z, convergent for |2|<1 and such that the 
circle |2i<l is mapped conformally on a simple (that is, simply connected 
and nowhere overlapping) region in the w-plane. By a linear transformation 
= aw -\- b, we may reduce w(z) to the form z + a2Z^ + . . . + a„2" + 
