# Questions tagged [curvilinear-coordinates]

Use this tag for questions about coordinate systems for Euclidean space for which coordinate lines may be curved.

36 questions
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### Scale factors in orthogonal coordinate systems

I'm trying to reduce the general tensor expression for either orthogonal or non orthogonal $$\vec{\nabla} \cdot \vec{V} = \frac{1}{\sqrt{g}}\frac{\partial}{\partial x_i}\left(\sqrt{g}V^i \right)$$ ...
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### Inverse of a (coordinate) transformation - which method is best?

I am woring with curvilinear coordinates and got stuck on an exercise where we have a transformation from cartesian to parabolic coordinates $(x,y,z)\rightarrow (u,v,\varphi)$. My question is how I ...
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### Coordinate and Non-coordinate basis (Orthonormality and Orthogonality)

I am having a really hard time in understanding the difference between coordinate and non-coordinate basis. I tried looking for some relevant questions here but none answers my concerns, may be my ...
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