1310 
wave and a rarefaction-wave of finite amplitude, respectively. 
They possesscertain intrinsic properties (cf. proofs in 
Appendix A), namely, 
PiP) = Yip) = 0 P= Py (8a 
AP) 2 HAP PRP, — (a! 
oe dis c, me = 
Pi(p) = ) mies P—+D, (8b 
BS) & --@) P 2D, (8b! 
Pip), Vip) positive all p (8b" 
o =~ c 
Alp) = ALD ge conte = ie (8c 
Pip), (5) negative all p (8c! 
Lf Pi £R, 2nd p 1<?P; 
then Re) > el P >Py (8a 
If Be er and P,< P, 
then — 5) > $o P<, (8a! 
BAP) >PD,) + lH, yc, <B, (8e 
FAB.) = FP)) + FH,.), 211 vy,P5,r, (80! 
