wt Sor hg Oni dy Ox 
A TN EN (el 2 
(xa Xo) SS) SS (3 ) KO + 2 dn, dn, 2 beh 
From which it appears, that 
(qa Erg GE) Ate Et Re 
which may also be written 
ple. ce VREE za 15) 
d AN MH 
In the formula D represents the determinant 
EE rel ts 
On, On, Òn;, 
Oy dp 07» 07 
On, On,*  On,on, On,On, 
Ox Op dw Ò'p 
boerin TOR Oms On Òn,Ònz — 
dy dw dp 0 wp 
On, On,On, Òn,Òny Ön? 
With the help of the given values of §, and of transformations 
which to some degree answer to those already performed, we can 
show that the probability of a system in which the deviations of 
ret oS) «Sl, rare ay § and & + dé), amounts to 
Ses ; zi ik + §.’) 
dé 5 
wit — Wye * 16D dé, .. d&,.. d&. 
W: 
For 0 log we therefore have 
0 
oe 22 2 2 
The mean value of this quantity is 
Wei Rs OF Ww Boo LRT 
0 log — = — T log = ot iN tS 
W w, 21D 2N 
PW ei = aha es , 
It appears from this, that © log — we O log Ww.” The probability 
0 Po 
of a state defined with the help of the quantity x therefore also 
agrees with the entropy, at least as far as the mean values which 
generally are only of importance, are concerned. Instead of the / 
partial densities also the function x of them can serve therefore to 
define the entropy of deviating systems. In the quoted communication 
