a 
OF TESTIMONIES OR JUDGMENTS. 621 
and hence we are to seek, as before, the value of 
Prob. xyz 
Bites Pak on ae Aare see NRL IAT (1) 
Assuming then as before, 
wz=s, mt, ryz=p 
we find, by the calculus of Logic, the following expression for g as a developed 
logical function of 2, y, w, v, s, t, and z, viz.: 
p=xywszvitayvtzw stayzwvst 
+0fwyuwstzt+yuztaws +yvaws cit wywszvtit+ewzsyvt 
+ terms with coefficient é cat on ahi ale a aah 2) 
Hence, adopting the simplification of Art. 21, we have 
Svywsa + cytes + vye+ vyy + yu + yu + vyw + vwzs 
+ew+aeytaztyet+atytet1 
=aw(y +1) (es +1) +yu(w@+1) (+1) + (#41) (y+) & +1) : (3) 
whence we form the algebraic system 
xw(y +1) (28 +1) + eyv(2t +1) +2(y+1) (2 +1) 
a 
_ wy (7s +1) + yv(w +1) (2t+1) + (w+ 1)y(z+1) 
EAE RAC Ted Ae aml Cr 2 Ae) 
as, 
_aw(yt)) (est+1) _  yu(a@+1) (2é4+1) 
ie LS a A, C2 
_awlytl)jes —  yu(a+1)zt 
0, Py A Co Po 
_ voy t+lastyu(e+1)at+ (a +1) (y+1)z 
r 
_ LY ZWs + vycut + xyZ 
Ny u 
= 2(y + 1) (+1) + yv(@+1) (+1) + (@+1) Y+I) G4))_) 
i = 
(4) 
A being a subsidiary quantity introduced for convenience. 
From the above we find 
a, a, 6, tana aa 1) — 1) @+1) 
awes(y+1 
a, ¢, P= (y+1) 
il —vu(y +1) (@s+1)+ (e+) (y+ I) G41) 
VOL. XXI. PART Iv. 8E 
