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>
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