Full text: Commissions III and IV (Part 5)

  
  
78 
After some elementary calculations we find 
b(p— n) i=» pie n —pi-» 
By = = > dx ——b à {n — +) dx, + À dby; — 
n e nu T n 4T 
pedes h (p — n) i» ph i-n 
"mmu dg: , > do; + = + dw, (321) 
num n e pil 
The corresponding weight number is 
D (n — py i-p p p i-n 
1 J hy \ #0; 1 | 
Qnyn, == 9 Q x - e + 9 Qux = (n m L^ TIT 
n^ i1 n^ i=p+1 
p (n — py p? (n — p) 2 b (n — py i=p 
of i Ls Y 2 
T^ n? Q,by I n? Quy n? Quy = 0 [ 
2 bp? i=n h? (n—p?p p? h? (n — p) 
b3 > | 
F 9 Qu, — (n reid ) ET. 2 Qoo I~ 2 Quo m 
n pil n n 
2 h (n — pf» 2 hp? (n — p) 
M uc Quy (322) 
After substitution of the weight- and correlation numbers from (174), 
(175), (178), (179), (181) and development of the terms of summation 
we find 
2 p (n — p) 
On 
(p (n p) 4- 2] (323) 
Qn vR r 
The corresponding standard error is then 
my = So) Qryr, (324) 
See diagram 17. 
Also in this case there are some approximations in the final weight 
number (323). The measurements in the control points and in arbitrary 
points along the center line of the strip can be taken into account in 
adding the weight number (317) to (323). For points along the edges 
of the strip the corresponding weight number can easily be found. 
Since the effect of these additional weight numbers usually can be 
 
	        
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