60 
Ga Or), = Ox)! Cx! Tt OES a), Tt ae (11a) 
To define 97,, e.g., we have 
Q It omen A 
1 np òy: 
+n +o ks 5 ) — UI) 02) «« 
ner = pO USE Grin 
Pr PLE dg,,-- dor. 
a ht. ee oc oe 
Ln — El „2 = 01), 05) 
201 1 lors’ ar Òn,Òn, gd 
e é do, ears dy kl 
Now, > vp = 0, etc. In order to take this into account in deter- 
mining @°‚, we introduce new variables instead of @,,.. gu -. Qu: 
1 
ou = vn mr poy Ox) À Jrom 240 
Then we have 
i 
= wu 0. 
os 
We also introduce for yj, .. g,; new variables in a similar way. 
The exponents of the integral then can be expressed by 
ic ce te ; 
16 |Y ane) Ti 
dp 1 Op 
vie ‚On (Lt) en (1 +) +e 
where C' is a quadratie function in the gg» (A 2 to 0. 
Now, taking into account the conditions =9';, == 0, we can integrate 
with respect to the variables 09’,, i.e. with respect to the elements 
2..4..1; the result in the numerator being cancelled by that in 
the denominator. In this bag we find 
d°y 0° 
aie „2 Dir Cai Òn,Òn, 
sh eet ane BEE 
f-ferne de, : ‚dok 
On Sry ot RAR oe 
1 òW dw 
wo JO rn Om Oris 
t += = (Pe k Dr rn 
e de, «+ dem 
—_ 00 —— 00 
According to a well-known theorem (comp. GiBBs El. Pr. in Stat. 
Mech. p. 205) we have 
