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e_g = \left( \left | \frac{\partial}{\partial x}(x_f-x_v)\right | + \left | \frac{\partial}{\partial y}(x_f-x_v)\right | \right ) |
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G_L = max \left( \left | \frac{\partial x_f}{\partial x}\right | , left | \frac{\partial x_f}{\partial y}\right | \right) |