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6
Curvilinear coordinate system
6.1
Coordinates transformation
6.2
Jacobian
6.3
Orthogonality relation between two sets of basis vectors
6.4
An example: (
ψ,𝜃,ζ
) coordinates
6.5
Gradient and directional derivative in general coordinates (
ψ,𝜃,ζ
)
6.6
Divergence operator in general coordinates (
ψ,𝜃,ζ
)
6.7
Laplacian operator in general coordinates (
ψ,𝜃,ζ
)
6.8
Curl operator in general coordinates (
ψ,𝜃,ζ
)
6.9
Metric tensor for general coordinate system
Special case: metric tensor for (
ψ,𝜃,ϕ
) coordinate system
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