1349 
for all values of p. We shall first prove the former statement. 
(a) For values of 0 < §< l1:the expression 
+ 
A@ = gop. b-T-— SE ret Py 
x 1/2 Pi gel 
(gpa) "(1- FF) 
is always positive, since the numerator is always negative, and 
the denominator is always negative by the rule of signs of 
equation (1). 
(o) For §*l:we have noted that Fp)» —y7> Which 1s positive. 
(c) For values of 0 >£>1; it is sufficient to show that 
P, (BPD), since we have noted that Ye(p)is always greater 
than zero. This has been shown in the preceding section. 
We will now prove that FABIO Sox all values of p. 
Ff, (P) = Pret ara re aia al sre ay nl} 
(at) For values of O¢ F<1; (1)VU is negative from equation 
1+ = 
(la), (2) (F< PFE 2y or More Se it from preceding 
o 
section. To prove that f(b) <0 it remains to show that 
2y Lvl? <E- ers rasa 
¥ 5 
1+¥ 
- = al 
or 2 or <F v i+ ef 
or 2< = a a & which is true. 
(e) For $>1; B(p)— - te fn 
2 
y 7) 2 which is negative. 
(c') For values of oO>F>I1; (l)y is positive from equation (la), 
= 6) — 
