i—2 
Qu, = (p A: 4) bQo/ 9 bQ 5 + pq, | + 
+ pb Ios 
  
0 
  
1 ; 1 
0 + ? Lea — Q'; J bi Qu i ra Yo; 1 (23) 
  
d. Weight- and correlation numbers of y”, v, f and //. 
The weight and correlation numbers of the quasi-observations y”, p, B and b’ 
are derived from (20) and (23) by symbolic squaring and multiplication (Ap- 
pendix III). 
The result is given in table 2 on the next page. 
The index 7 in this table may have any value from 1 to 7, and the index j any 
value greater than i + 2. There are some exceptions, however: 
  
  
  
  
  
| | 
Q | by | bi! 
| | k = 2>n 
b f, | Bia Bis 
Table 3. 
The quantities B,>B,, are functions of the weight- and correlation numbers 
A,>A; of the relative orientation, the base-altitude ratio p (and its inverse 4) 
and the quantities B, and B,. B, is the weight number of the observed zero dif- 
ference between the heights of a scale transfer point in two consecutive models. 
B, is the weight number of the difference between the measured abscissae of 
both x-transfer points in each model. 
The definition of all quantities B,2B,, is given in Appendix V. 
10. The adjustment of the strip. 
The preceding chapters show that the quasi-observations, which are to be 
adjusted, are generally correlated. Consequently some theory of adjusting 
correlated observations must be applied. From several theories we have chosen 
that of the late Professor Tienstra °), because in our opinion it is the most elegant 
one. The Appendix IV gives some of the most important formulae of Tienstra's 
method. 
From the tables 1—3 it is evident that the group of quasi-observations 
o, x and by on the one hand and the group v, 9’, f and b’ on the other are 
uncorrelated. According to chapter 8 each condition equation contains quasi- 
observations of one of these groups only. 
It follows that the adjustment breaks up in two independent parts: 
1. adjustment of the closing errors «vo, w and wy; 
2. adjustment of the closing errors wg, w., we and ws. 
11. Adjustment of ww, w, and w,. 
Application of the formulae given in Appendix V, starting from the condit- 
ion equations (10), (11) and (12), leads to the following three normal equations, 
written in the form of a table: 
6) J. M. Tienstra: An extension of the technique of the method of least squares to correlated 
observations. Bulletin Géodésique, 1947, nr 6, p. 301. 
10