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$HDI21stFI{X}_r=\frac{LifeExpIn{d}_r+LitInd+GDPInd}{3}$

where

$HDILIFEMAX21=\mathbf{𝐡}\mathbf{𝐝}\mathbf{𝐢}\mathbf{𝐥}\mathbf{𝐢}\mathbf{𝐟}\mathbf{𝐞}\mathbf{𝐦}\mathbf{𝐚}\mathbf{𝐱}\mathbf{𝐟}$

$LifeExpInd=\frac{LIFEEX{P}_r-LIFEXPMIN}{HDILIFEMAX21-LIFEXPMIN}$

$LitInd=LI{T}_r/100$

$LogGDPPCP21=Log(\mathbf{𝐡}\mathbf{𝐝}\mathbf{𝐢}\mathbf{𝐠}\mathbf{𝐝}\mathbf{𝐩}\mathbf{𝐩}\mathbf{𝐜}\mathbf{𝐦}\mathbf{𝐚}\mathbf{𝐱}*1000)$

<math>GDPInd=\frac{Log(GDPPCP_r*1000)-Log(100)}{Log(GDPPCP21)-Log(100)}