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The function then supposes that Δφi is constant and the weighted average over the area is computed as:

Mathdisplay
average over area = \frac {\sum_{i}f_{i} A_{i}}{\sum_{i}A_{i}} = \frac {\sum_{i}f_{i}cos\phi_{i}\Delta\lambda_{i}}{\sum_{i}cos\phi_{i}\Delta\lambda_{i}}

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