The normal equations are:
WOK + Q) K, — w,
(2) K, + (3) K, = ws
where:
gui! EN gun! + gu ust
(1)= + usu,’ = £g"? u»l uj! ^p gus! us
+ usu,’ = gay! d 2°3us'us!
+.
1a
guit! ^ gustus! + gonna! +
(2) - — g?!uz?ui! - g??uz?u3! Ar guet ug! A
Tg us c g?usa*u»! + 2°3us"u3!
ga a te a en WS US +
(3) = 4 gu? A gu u” —- gus us? +
+ ge? + 252 us us” c gus? us?
in which:
gi, g°2, 293 are weight numbers;
g'?, g° etc. are correlation numbers;
Ki, K2 are correlates.
The correlate equations are:
el L (gu! a gu n gust) Ki B (gui? d g"? uy 4 gus?) K
e? zm (gu! c g^?» c gus.) Ki 4 (gu? b g?u? 4 g?us?) Ko
es — (2541! 4 gy + gua.) Ki + (giu? E ggg? c g?us?) K
2
Appendix V. Lists of the quantities B, C and F.
The following lists give for some quantities B and C respectively two expres-
sions; the first one is the direct result of the derivations, whereas the second
expression is to be used for the actual computation.
B = Q zz dr Q' Zi Zi
B 2 7 Q' x La ia + Q xix:
B, = p* (2 A, + B,) +4 (4 + 1) (A7 — As) = Ba + 2 Ban
B, — —2pA, - 2(qg 4-1) (4, — A) 3- B, = B, — 2 B4, + Bao
B, — p (24,24; t Bi) = 2Bı +8
B, =p A, — 2 (@ + 1) (A: — A) = By, — B,
B; o pA, + q (4; — As) = Bu + Bi
B, = pA.— gq (4 — As) = B, — B,
By = PA. (A Ar) 7 — By X Die
Bu — pA AH B) + (A; — A) = Bis + Bis + By
Bi, — pA,
Bi, — pA;
Bir p(A + A) = B., + B,,
Ba > PP 12 A, + 81) + 24 + 3) (y=) Bec Bio ct Bag
Bu= p* (2 A; + As + Bi) + 2 (@ + 1) (A; — As) = Ba Bo + Bin
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