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Dimensionless Helmholtz free energy

Values for calculation

$ n $
$ \{δ\in\mathbb{R}\mid δ>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.
$ δ $
$ I $
$ \{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 $
$ \text{Region} $

Calculation

Dimensionless Helmholtz free energy

$\text{if }\ \text{Region}= 3$
$\text{if }\ \text{Region}= 3$
Equations in LaTeX code
\text{if }\ \text{Region}= 3
$$φ=\left(n\right)[1]\cdot\ln{δ}+\sum_{i=2}^{40}{n[i]\cdot δ^{I[i]}\cdot τ^{J[i]}}$$
$φ=\left(n\right)[1]\cdot\ln{δ}+\sum_{i=2}^{40}{n[i]\cdot δ^{I[i]}\cdot τ^{J[i]}}$
Equations in LaTeX code
φ=\left(n\right)[1]\cdot\ln{δ}+\sum_{i=2}^{40}{n[i]\cdot δ^{I[i]}\cdot τ^{J[i]}}
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$φ=0$$
$φ=0$
Equations in LaTeX code
φ=0
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