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Ideal-gas part

Values for calculation

$ \{π\in\mathbb{R}\mid π>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ π $
$ n^o $
$ \{τ\in\mathbb{R}\mid τ>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ τ $
$ J^o $
$ \text{Region} $

Calculation

Ideal-gas part

$\text{if }\ \text{Region}= 2$
$\text{if }\ \text{Region}= 2$
Equations in LaTeX code
\text{if }\ \text{Region}= 2
$$γ^o=\ln{π}+\sum_{i=1}^{9}{n^o[i]\cdot τ^{J^o[i]}}$$
$γ^o=\ln{π}+\sum_{i=1}^{9}{n^o[i]\cdot τ^{J^o[i]}}$
Equations in LaTeX code
γ^o=\ln{π}+\sum_{i=1}^{9}{n^o[i]\cdot τ^{J^o[i]}}
$\text{else if }\ \text{Region}= 5$
$\text{else if }\ \text{Region}= 5$
Equations in LaTeX code
\text{else if }\ \text{Region}= 5
$$γ^o=\ln{π}+\sum_{i=1}^{6}{n^o[i]\cdot τ^{J^o[i]}}$$
$γ^o=\ln{π}+\sum_{i=1}^{6}{n^o[i]\cdot τ^{J^o[i]}}$
Equations in LaTeX code
γ^o=\ln{π}+\sum_{i=1}^{6}{n^o[i]\cdot τ^{J^o[i]}}
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$γ^o=0$$
$γ^o=0$
Equations in LaTeX code
γ^o=0
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