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Second partial derivative of $φ$ with respect to $δ$

Values for calculation

$n$
$δ$
$I$
$τ$
$J$
$\text{Region}$

Calculation

Second partial derivative of $ φ $ with respect to $ δ $

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