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Partial derivative of φ with respect to τ

Values for calculation

n
δ
I
J
τ
\text{Region}

Calculation

Partial derivative of φ with respect to τ

\text{if }\ \text{Region}= 3
φ_τ=\sum_{i=2}^{40}{n[i]\cdot δ^{I[i]}\cdot J[i]\cdot τ^{J[i]-1}}
\text{else}
φ_τ=0