A NEW METHOD OF ESTIMATING STREAM-FLOW 
IS.", 
tion (50) the known values of R' from equation (76) and the known time intervals 
involved, there is obtained: 
■ (88) 
x„C= + (0.28)(l)(C) + (0.21)(l)(C) + (0.14)(l)(C) + 
+ (0. 109) (2) (C) + (0.84) (0.4) (C) + (0.69) (0.8) (C) + 
+ ( +0.62) (1. 6) (C) + (0.58) (3.2) (C) + (4.40) (0.64) (C) 
= (+0.28 + 0.21+0.14+0.218+0.336+0.552 + 
+0.992+1.856+2.816) C 
= +7.40 C, or 
x n = +7.40, retaining three significant figures (89) 
The unit of R'2(C) is 0.001 c.f.s. 
In the computation of x n the term /B',o2(C) or (0.81) (1.28) (C) is neglected for 
the reason, as before, that this term reached back into the preceding summer and 
fall of 1912, before the beginning of the freezing-melting period. For the nine 
terms involved in the computation of x n — +7.40, there was an abundance of ice 
and snow available for melting on every day concerned, even in the 7?',S»(C)-term, 
with the possible negligible exception of some days in November 1912, hence the 
value of x n may be taken as a constant for all of the observation equations involved 
in Solution A A. 
EXAMPLE OF COMPUTATION OF X t AND OF X, SOLUTION AA, STREAM A 
The definition of x , is given by equation (51). It consists of the known quanti- 
ties, the R' /s and the time intervals involved in them. The values of R f fh R' f2 , 
R' fi . . . are given in equation (87). Before it is possible to substitute these and 
their time intervals in equation (51), it is necessary to compute the 2(C)'s of that 
equation. These will not be the same for every day, as was the case with x n , 
because equation (51) is applicable only on days on which flood-flows were initiated. 
The method of evaluating these2(C)'s will be evident from the following tabulation: 
Example of computation of 'Si(C), Xi(C), X 3 (C), . . . 
Date 
Si(C) 
2 2 (C) 
SKC) 
24(C) 
2„(C) 
2o(C) 
2,(0 
1913 
Mar. 31 
Apr. 1 
2 
3 
4 
5 
6 
7 
8 
9 
10 
11 
12 
13 
14 
15 
16 
1 
1 
1 
1 
1 
1 
1 
2 
1 
0.1 
0.2 
0.2 
0.2 
0.1 
0.1 
0.1 
0.1 
0.1 
1 
1 
1 
1 
1 
0.1 
0.2 
0.2 
0.2 
0.2 
0.2 
0.3 
0.3 
1 
1 
1 
1 
1 
1 
1 
1 
1 
1 
The dates used in this computation are the same as those used in the computa- 
tion of D f . The unit is 1° F. for 2,(C) to 2 4 (C) inclusive, and 10° F. thereafter. 
The method of computing the 2(C)'s for flood dates is apparent. It consists of 
summing up the coefficients of C in the various terms, with proper attention to the 
change in decimal place after 2,(C). Into the tabular values above, the R' ,'s of 
