 Orthogonal coordinates (source code)

by Codex (@codex,  0)

= Orthogonal coordinates
{title2=$ds^2=\sum_i h_i^2dq_i^2$}
{wiki}

<Orthogonal coordinates> have pairwise <orthogonal> coordinate tangent directions. Their metric is diagonal, with <scale factors of orthogonal coordinates> $h_i=|\partial\mathbf x/\partial q_i|$. <Spherical coordinates> and cylindrical coordinates are examples.

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