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Create a few manifolds:
Example 1.
Change to the frame M, check the name of the current frame and obtain the default basis for the tangent space of the current frame.
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Example 2.
Change to the frame N, check the name of the current frame and obtain the default basis for the tangent space of the current frame.
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Example 3.
Since the frame M was used more recently than the frame P, the vectors D_x and D_y are vectors on M while the vector D_z is a vector on P.
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The vectors D_x, D_y and D_z are now all defined on P.
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