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Results tagged with curves-and-surfaces
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user 9352
A surface is a generalization of a plane which needs not be flat, that is, the curvature is not necessarily zero. This is analogous to a curve generalizing a straight line
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What is the best way explain to undergraduates that all 1-dimensional manifolds are orientable?
Elementary? Let M be a curve. Can we find a smooth, non-vanishing vector field defined everywhere on M? This proves the theorem.
How to explain? Calling whatever direction the vector points "ahead" i …
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