| 21. | Curvilinear coordinate systems, such as cylindrical or spherical coordinates, are often used in physical and geometric problems.
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| 22. | Depending on the application, a curvilinear coordinate system may be simpler to use than the Cartesian coordinate system.
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| 23. | Is a tangent vector to " C " in curvilinear coordinates ( using the chain rule ).
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| 24. | From a more general and abstract perspective, a curvilinear coordinate system is simply a Cartesian coordinate patch on the manifold.
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| 25. | Some useful relations in the calculus of vectors and second-order tensors in curvilinear coordinates are given in this section.
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| 26. | Also, if there are constraints, the curvilinear coordinates are not independent but related by one or more constraint equations.
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| 27. | The formulas can be discovered by using Pythagoras's theorem with the equations relating the curvilinear coordinates to Cartesian coordinates.
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| 28. | In orthogonal curvilinear coordinates, separation of variables can still be used, but in some details different from that in Cartesian coordinates.
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| 29. | *PM : gradient in curvilinear coordinates, id = 7309-- WP guess : gradient in curvilinear coordinates-- Status:
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| 30. | *PM : gradient in curvilinear coordinates, id = 7309-- WP guess : gradient in curvilinear coordinates-- Status:
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