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Partial derivative of $γ$ with respect to $τ$

Values for calculation

$n$
$π$
$I$
$J$
$τ$
$\text{Region}$

Calculation

Partial derivative of $ γ $ with respect to $ τ $

$\text{if }\ \text{Region}= 1$
$\text{if }\ \text{Region}= 1$
Equations in LaTeX code
\text{if }\ \text{Region}= 1
$$γ_τ=\sum_{i=1}^{34}{n[i]\cdot\left(7.1-π\right)^{I[i]}\cdot J[i]\cdot\left(τ-1.222\right)^{J[i]-1}}$$
$γ_τ=\sum_{i=1}^{34}{n[i]\cdot\left(7.1-π\right)^{I[i]}\cdot J[i]\cdot\left(τ-1.222\right)^{J[i]-1}}$
Equations in LaTeX code
γ_τ=\sum_{i=1}^{34}{n[i]\cdot\left(7.1-π\right)^{I[i]}\cdot J[i]\cdot\left(τ-1.222\right)^{J[i]-1}}
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$γ_τ=0$$
$γ_τ=0$
Equations in LaTeX code
γ_τ=0
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