KiRSTiNE Smith 
41 
In our formulae the two cases q = 1 ov q = 2 only occur for which accordino; to 
this we find 
1 _ (- 1)'^- ... (y - 2)2 (p - 1) 2 ' 2 
3f-i . 5^-2 . 7f-3 . .. (2p - 3)2 (22) - 1) ^ 
1 
1 — a;2 
(1-^2)2 
(1-,t2)3 
1 + a 
1 
1 
1 
2 
4 
6 
2p 
173 
5 
7 
2p+l 
2.4 
4.6 
6.8 
2p (2^+2) 
1.3.5 
5.7 
7.9 
•• i2p+l)(2'p + 3) 
2.4.6 
4.6.8 
6.8. 10 
2p {2p + 2) {2p + 4) 
1.3.5.7 
5.7.9 
7.9.11 ■ 
{2p + l){2p+^)(2p+b) 
and 
2. 4. ..2^ 4.6...(2y + 2) 6. 8. ..(2^+4) 2?? (2^5 + 2) ... (4^ - 2) 
1.3. ..(2^9 + 1) 5.7...(22^+ 3) 7. 9. ..(215 + 5) "•■ {2p + ]){2p-\- ?,)... {4:p~]) 
O")!) 
J_ (- ])f^ l''-i.2f-2... {j)-2Y{f- 1)2 2 
f+i" 3p_i _5^_i _;j-^_2 _ _ ^22)- 1)2 (279+ 1) 
1 
3 
1 K + a 1 1 ... 1 
l-a;2 
(l-x2)2 
(l-ct;2)3 
9\ 
2_ 4 6 2f 
3.5 7 9 ■•• 2^+3 
2 . 4 4.6 6 . 8 2p(2p 
3.5.7 ■ 7^9 97Tl ■•■ (2pT3)72?rr5) 
2.4.6^ 4.6.8 6.8. 10 _ 2£|2p + 2) (2p + 4) 
3.577.9 7.9.11 9.11.13 ' ' ' (2p + ^3y(2pT75H225 + 7) 
(l_^2w 2.4. 6.. .2y 4.6...(27; + 2) 6. 8^2?) + 4) 2?; (2?. + 2) ... (4p - 2) 
^ ■ ^ 3.5.7...(2p + 3) 7. 9. ..(229 + 5) 9 .11... (229 + 7) •"• (l2) + 3)(225 + 5)... (42^ + 1) 
(52). 
VI. Uniform continuotis distribution of observations ivith additional clusters at the 
ends of the range; constant standard deviation of observations. Special formulae. 
(1) Our first task shall be to work out the formulae for „ctI — „^^al for values 
of n up to 6, the next to find what values should be given to a in order to make 
n&y as flat a curve as possible within the range of observations. 
With the notations just introduced (40) and (41) take the form 
