psic=function (x,c) #derivative of rhoc
{
G0=1.38
G1=0.55
G2=-2.69
G3=10.76
G4=-11.66
G5=4.04
u =(x>c)
v=(x<2/3*c)
w=(1-u)*(1-v)
v*G0*2*(x/c)/c+ w*(G2*2*(x/c)/c+G3*4*(x/c)^3/c+G4*6*(x/c)^5/c+ G5*8*(x/c)^7/c)+ 0*u
}
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