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Cross derivative of $γ$ with respect to $π$ and temperature $τ$

Values for calculation

$n_i$
$I_i$
$π$
$J_i$
$τ$
$\text{Region}$

Calculation

Cross derivative of $ γ $ with respect to $ π $ and temperature $ τ $

$\text{if }\ \text{Region}= 1$
$$γ_{πτ}=\sum_{i=1}^{34}{-n_i\cdot I_i\cdot\left(7.1-π\right)^{I_i-1}\cdot J_i\cdot\left(τ-1.222\right)^{J_i-1}}$$
$\text{else}$
$$γ_{πτ}=0$$