H D I 21 s t F I X r = L i f e E x p I n d r + L i t I n d + G D P I n d 3 {\displaystyle HDI21stFIX_{r}={\frac {LifeExpInd_{r}+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 E X P r − 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 {LIFEEXP_{r}-LIFEXPMIN}{HDILIFEMAX21-LIFEXPMIN}}}
L i t I n d = L I T r / 100 {\displaystyle LitInd=LIT_{r}/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 LogGDPPCP21=Log(\mathbf {hdigdppcmax} *1000)}
<math>GDPInd=\frac{Log(GDPPCP_r*1000)-Log(100)}{Log(GDPPCP21)-Log(100)}
