40 
1.225. 'The standard errors of the corrected coordinates 
First the expression (131) will be rearranged and simplified. The 
third term of (131) ean be rewritten as follows 
i=n i-—p i=n 
> (n—++1)db;_4,— X (n—i+ 1)db; ,;-- 2 (n—i+1)db;_, ; (133) 
i=l i=1 i=p+1 
i=n i=p i=n 
Ade, (— X dx, | + X da. # (134) 
i=1 i=1 i=p+1 
After substitution of (133) into (131) the following rearrangements 
can be performed 
1=p ) i=p 
A (Pp — à + 1) db, 1 — ? À (n—i+ 1)db; ,;— pdb, + (p — 1) db, , 4- 
i=l ^ $1 
p 
J-(p— 2) db; ; t... +2db, ,, ,+db, ,,— oo {ndb,, + (n—1)db, , + 
+ (n—2)dbys+..... +(2—P +2) 0b, 5, + (n—p+1)db, ,,)= 
p : 
=l 1 (db, ; + 2 dbpa + 3 dba4 +... + (p — 2) db, _2p—1 + 
p des s 
c (p — 1) db, p} I p — 1 = (2 — 1) db, 17 I 
i=D 
= [JL — 2, A (1 — 1) db, ,; (135) 
nf, : 
Similarly 
i= p p i p p i p a 
= dz, | — D = dz, = |1— % 2 dz, | (136) 
The expression (131) can now be rewritten as 
p ip p i=n 
Ry = 11 ——} À (1—1) db — — ZX (n — à + 1) db, "E 
* n i 1 A n i=p+1 ) 
p 1=p p 1=n 
+11 —] À dm, EU ; À das, ) (137) 
nJi-1 N ;=p+1