61 
1 OMe z Ow 
Je jo BOU) lon, Out: Onde. Oi Cars: 
f | é do, Òvr, dor, = 
5 
2 w (I—1) @) 2 —.,. 13). 
@ x (I-16)? 57 (18) 
where A is the determinant defined by (10). Differentiating the 
logarithm of (13) with respect to — we find 
D, 
A 
dek 
vn = (-1) 0 
and in general 
aie ES, 
Pe j=] Y 1 
=O (14) 
whereas at the same time we find 
Oxi Ur) —=(l=1)@ “ (14a) 
The quantities A,, and A,, represent in the usual way the minor 
determinants in A. 
If 7 is great with respect to 1, then we can replace /—-1 by /, 
V Id Al 
and this quantity by —, and keeping in mind that @ = —. we have 
| q TE ping N 
— RIV Ax ie 
2 ees. Baan Se 
RT VAG 
iS SS (152) 
Seeks A Vie dS 
where ¢, and ew are used to denote oj, and vor. 
We can still modify these equations by introducing the free energy 
for the unit of volume filled with the given, density. As y= Vy, 
we obtain A= VLA (A then relating to the determinant (10) for 
wp). App VEL A,, ete. and we find 
Een? 2957 
Ma NM 
and Py 
= LRT Le 
PTY UPS se Pee ae 
Vial A 
Taking into account that r,,, being the deviation from »,, , amounts 
to Vie), we find “are 
