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\begin{equation}
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\mathbf{E}_\mathrm{avg} = \mathbf{F}_0 + (\mathbf{1} - \mathbf{F}_0)/21 - \mathbf{b}/126 \ .
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\end{equation}
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where $\mathbf{b}$ is defined in equation [f82_b_coeff]. Note that if both $\mathbf{F}_0$ = **`base_weight`** * **`base_color`** and $\mathbf{C}_s = \mathtt{specular\_color}$ are white, then $\mathbf{F}_0 = \mathbf{1}$ and $\mathbf{b}= \mathbf{0}$ reducing to $\mathbf{E}_\mathrm{avg} =1$, thus the metal satisfies the furnace test in this case.
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where $\mathbf{b}$ is defined in equation [f82_b_coeff]. Note that if both $\mathbf{F}_0$ = **`base_weight`** * **`base_color`** and $\mathbf{C}_s = \mathtt{specular\_color}$ are white, then $\mathbf{F}_0 = \mathbf{1}$ and $\mathbf{b}= \mathbf{0}$ reducing to $\mathbf{E}_\mathrm{avg} = \mathbf{1}$, thus the metal satisfies the furnace test in this case.
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[^Oren_Nayar_formula]: The $s$ term is given by (with normal $\mathbf{n}$):
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\begin{eqnarray*}

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