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1. CMB 2011 (vol 54 pp. 706)
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Nonconstant Continuous Functions whose Tangential Derivative Vanishes along a Smooth Curve We provide a simple example showing that the tangential derivative of a
continuous function $\phi$
can vanish everywhere along a curve while the variation of $\phi$ along
this curve is nonzero. We give additional regularity conditions on the curve
and/or the function that prevent this from happening.
Categories:26A24, 28A15 |