Full text: [Allgemeine Analysis] Theoria combinationis observationum erroribus minimis obnoxiae (3. Band)

inen con- 
I 
II 
(1 — 2a?-f- 2 <a? 4 — 2<2? 9 -f-. .) 4 = 1 
(2 a?*+2x^-\- e lx % . .) 4 = 
(l+2^+2o? 4 +2a? 9 + . .y 
;-l— “2.2?-f- 2 <2? 4 — 2a? 9 +. .)* 
(22#* —j—2cJ?^ s —j—. .)■ 
. 8 X 
~T" 1 —X 
+ 
16 XX | 
2 4 a: 3 
+ 
32 X 1 . 
1 + XX * 
1 — x 3 
1 + X 4 * 
8 X 
~h 
16a: x 
2 4 a; 3 
32 x 4 
1 X 
1 + xx 
l + x 3 
i + x 4 
16 a: 
i 
4 8 a: 3 , 
80 x B 
+ 
1 XX 
l —x 6 * 
1 — X 10 
( 8a: 
i 
8xx , 
8 a: 3 
1 
8 X 4 , 
‘ (l — x) 2 
nr 
(l + xx) 2 1 
(1—x 3 ) 2 
1 
(1 + X 4 ) 2 ‘ 
8 x 
i 
8a: x 
8 X 3 
I 
8 X 4 
1 (l + a;) s 
1 
(1 + xx) 2 
(1 + x 3 ) 2 
1 
(1 +xy 
16(l + xx)x , 16(l + x e )x 3 . 16 (1 + x 10 )x 5 . 
^6\S I f, ~10\* "I 
(l—xx) 2 
(l-* e ) 
Die Reihen 
p = 1 —J— 2 x —j- 2 x —j~ etc., 
q = 1 — 2x-\-2x i 
i 
PP 
etc., — = u 
VV 
werden durch Differentialgleichungen am einfachsten auf folgende Art ausge 
drückt 
£+»£ = ^+i«‘r) 
xdi .1 
dJ T ’ 
xd t' 
.n xd t" 
— 1 ’ dx 
= r 
|pl' 
dx 
xd« r 
xd«' 
„ xd u" 
nr 
dx 
~ U ' dx 
u 
— - = 2 (tri 
tt K 
- ut'\ 
) — —4 V.H" = 
: -f- 4 t 3 u”
	        
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