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It follows that x is a smooth point.
Since x is not a smooth point, B > A. Recall that Roberts orthogonality implies Birkhoff orthogonality.
Getting a nice smooth point on a pencil was a matter of pride for most of us.
At such a smooth point, one can take a local coordinate system whose first coordinate is (T).
Let x be an arbitrary point in P. Suppose to the contrary that x is not a smooth point.
By Lemma 2, we only need to show that each point x in P is a smooth point.
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Thus it suffices to check local integrability near the smooth points of (Z).
These Lipschitz exponents identify the regular or smooth points in the signal.
These Lipschitz exponents permit to separate the regular or smooth points from the noise elements.
Indeed, we characterize smooth points and exposed points of B1L lp)) and B1(K lp)) for 1 ⩽ p < ∞.
The essential content of plasticity theory is the normality of plastic strain increments to the yield or flow potential surface at smooth points.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com