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Root mean square (rms) error

Mathdisplay
rmsrmse = \sqrt {\frac{1}{S_w} \sum_{i=1}^n w_i (x_f - x_v)_i^2 }

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rms vector wind error

Mathdisplay
rmsrmse = \sqrt {\frac{1}{S_w} \sum_{i=1}^n w_i (\vec{V}_f - \vec{V}_v)_i^2 }

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