| 11. | A simple example is Euclidean ( flat ) space expressed in curvilinear coordinates.
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| 12. | In general relativity, local curvilinear coordinates in a local basis must be used.
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| 13. | In curvilinear coordinates, such as alternative expressions.
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| 14. | The formalism of curvilinear coordinates provides a unified and general description of the standard coordinate systems.
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| 15. | Despite the use of partial derivatives, these equations are invariant under arbitrary curvilinear coordinate transformations.
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| 16. | Curvilinear coordinates are coordinates in which the angles between axes can change from point to point.
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| 17. | In general relativity, the metric tensor is given by much more general expressions for curvilinear coordinates.
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| 18. | Instead of inertial frames, these accelerated motions can also be described using accelerated or curvilinear coordinates.
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| 19. | In " n "-dimensional general curvilinear coordinates, the square of arc length is:
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| 20. | Another example is his work on the conduction of heat which led him to his theory of curvilinear coordinates.
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