Table 6.

Modeling of the reflection functions: Group H30—metal ceramic prostheses.

x	$\left[0,\frac{x_{\max }}{3}\right)=\left[0,1.08\right)$	$\left[\frac{x_{\max }}{3},\frac{2x_{\max }}{3}\right)=\left[1.08,2.17\right)$	$\left[\frac{2x_{\max }}{3},x_{\max }\right)=\left[2.17,3.25\right)$
ρ(x)	$f(x)=\frac{12A}{x_{\max }^2}x\left(3x-x_{\max }\right)+{\rho }_0$	$g(x)=\frac{36A}{x_{\max }^2}x\left(x-x_{\max }\right)+{\rho }_0+10A$	$h(x)=\frac{6A}{x_{\max }^2}x\left(3x-10x_{\max }\right)+{\rho }_0+24A$
	$f(x)=10.22x^2-11.08x+31$	$g(x)=-10.22x^2-10.22x+61$	$h(x)=10.22x^2+55.38x+55.3$
dρ/dx	$f^{\prime }(x)=20.44x-11.08$	$g^{\prime }(x)=-20.44x-10.22$	$h^{\prime }(x)=20.44x+55.38$
d2ρ/dx2	$f^{″}(x)=20.44{\mathrm{mm}}^{-2}$	$g^{″}(x)=-20.44{\mathrm{mm}}^{-2}$	$h^{″}(x)=20.44{\mathrm{mm}}^{-2}$
The notation ${\rho }_0-{\rho }_{\min }={\rho }_{\max }-{\rho }_0=A$ in Figure 8(b2) was used.