Scale factors of orthogonal coordinates

If orthogonal coordinates

q_{i}

satisfy

d x = \sum_{i} h_{i} e_{i} d q_{i},

(1)

then

h_{i} = ∣ \partial x / \partial q_{i} ∣

are their scale factors.

These factors determine the diagonal metric and volume element of orthogonal coordinates.

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Scale factors of orthogonal coordinates

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