Flux coordinates: Difference between revisions
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=== Coordinates and basis vectors === | === Coordinates and basis vectors === | ||
Given the spatial dependence of a coordinate set <math>(\psi(\mathbf{x}),\theta(\mathbf{x}),\phi(\mathbf{x}))</math> | Let <math>{\mathbf x}</math> be a set of euclidean coordinates on math>{\mathbb R}^3</math>. Given the spatial dependence of a coordinate set <math>(\psi(\mathbf{x}),\theta(\mathbf{x}),\phi(\mathbf{x}))</math> | ||
we can calculate the contravariant basis vectors | we can calculate the contravariant basis vectors | ||
:<math> | :<math> | ||