186 
A NEW METHOD OF ESTIMATING STEEAM-FLOW 
equation (87) are multiplied, giving the coefficients of C in equation (51). This 
computation is carried out below. 
Example of compulation of x/ and x 
Date 
R'/Si (c) 
K'ys2»(c) 
R'/iTizic) 
«'/„(c) 
R'/iSdc) 
fl'/62e(c) 
K'/*2Kc) 
Xf 
x„ 
X 
1913 
Mar. 31 
Apr. 1 
2 
3 
4 
5 
6 
7 
8 
9 
10 
11 
12 
13 
14 
15 
16 
+ 1.6 
+ 1.6 
+ 1.60 
+3.30 
+3.60 
+ 3.50 
+ 3.20 
+2.49 
+3.38 
+3.48 
+3.68 
+2.94 
+ 2.50 
+ 1.79 
+ 1.79 
+3.39 
+5.09 
+6.55 
+8.15 
+7.40 
+7.40 
+ 7.40 
+7.40 
+7.40 
+7.40 
+7.40 
+ 7.40 
+ 7.40 
+7.40 
+7.40 
+7.40 
+7.40 
+7.40 
+7.40 
+7.40 
+7.40 
+ 9.00 
+ 10.70 
+ 11.00 
+ 10.90 
+ 10.60 
+ 9.89 
+ 10.78 
+ 10.88 
+ 11.08 
+ 10.34 
+ 9.90 
+ 9.19 
+ 9.19 
+ 10.79 
+ 12.49 
+ 13.95 
+ 15.55 
+ 1.7 
+ 1.7 
+ 1.9 
+ 1.9 
+ 1.6 
+3.2 
+ 1.6 
+0.89 
+ 1.78 
+ 1.78 
+ 1.78 
+ .89 
+ 1.6 
+ 1.7 
+ 1.9 
+ 1.6 
+ 1.6 
+0.45 
+ .90 
+ .90 
+ .90 
+ .90 
+ .90 
+ 1.35 
+ 1.35 
+ .89 
+ .89 
+ .89 
+ .89 
+ 1.6 
+ 1.6 
+ 1.6 
+ 1.6 
+ 1.7 
+ 1.7 
+ 1.7 
+ 1.9 
+ 1.9 
+ 1.6 
In the second to eighth columns, inclusive, are written the products R' £(C) 
as shown in the headings, divided by C. The unit of the products R' '/2(C) is 0.001 
c.f.s. The sums of these values gives x t , which, added to x„ of equation (89) in 
accordance with equation (47), give x, the coefficient of C in the observation equa- 
tion (46). 
Note that preceding the first day of flood-flow, March 31, X/ = 0, therefore for 
those dates x = x n = +7.40, and constant. 
EXAMPLE OF COMPUTATION OF y n , SOLUTION AA. STREAM A 
The definition of y n is given by equation (52). It consists of the known quanti- 
ties R\, R'„ R'„ ... and (t-T"), 2 t (t-T"), 2 s (t-T"), ... in which t<T". 
These last quantities are first computed from the mean observed air temperature, 
t, and the best value to date of T", viz, 28° F., and then multiplied by R\, R' i} R' 3 , 
... of equation (76). The sum of the products gives y n . This is illustrated as 
shown on the facing page. 
The quantities in parentheses are values of (t-T"), 2 2 (£-T"), H»(t-T"), 
. . . The unit is 1° F. in columns 2 to 5 inclusive; 10° F. in columns 6 to 9 inclu- 
sive; and 100° F. in column 10. After computing the first column, (t—T"), the 
others are derived from it in the same manner as in the case of the r's, the n's, the 
(n — G)'s, etc. The computation is restricted to negative values of (t—T"). 
The quantities not in parentheses at the head of each column except the last 
column are the R"s of equation (76). They should be considered as repeated 
down the column. The sum of the products ~2(t — T")R' gives y n . The unit of the 
products 2(t-T")R' is 0.001 c.f.s. In taking the products ^(t-T')R', the value 
of "2,(t — T") was first rounded off to the nearest even unit before multiplying by R'. 
The individual products were then rounded off to the nearest even unit before 
taking their sums. 
Since t// = (because a flood-flow can not be started when t<T"), y n = y, the 
coefficient of F in the observation equation (46). 
