H D I 21 s t F I X γ = L i f e E x p I n d γ + L i t I n d + G D P I n d 3 {\displaystyle HDI21stFIX_{\gamma }={\frac {LifeExpInd_{\gamma }+LitInd+GDPInd}{3}}}
where
H D I L I F E M A X 21 = h d i l i f e m a x f {\displaystyle HDILIFEMAX21=\mathbf {hdilifemaxf} }
L i f e E x p I n d = L I F E X P γ − L I F E X P M I N H D I L I F E M A X 21 − L I F E X P M I N {\displaystyle LifeExpInd={\frac {LIFEXP_{\gamma }-LIFEXPMIN}{HDILIFEMAX21-LIFEXPMIN}}}
L i t I n d = L I T γ / 100 {\displaystyle LitInd=LIT_{\gamma }/100}
L o g ( G D P P C P 21 ) = L o g ( h d i g d p p c m a x ∗ 1000 ) {\displaystyle Log(GDPPCP21)=Log(\mathbf {hdigdppcmax} *1000)}
<math>GDPInd=\frac{Log(GDPPCP_{\gamma}*1000)-Log(100)}{Log(GDPPCP21)-Log(100)}
