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Let (mathcal{E}_{0}) be a concave expectation.
Let (mathcal{E}_{1}) be a convex expectation and (mathcal{E}_{2}) be a concave expectation with (mathcal{E}_{1} geqmathcal{E}_{2}).
Let (mathcal{E}_{0}) be a convex expectation, (mathcal{E}_{1}) be a concave expectation with (mathcal{E}_{1} leqmathcal{E}_{0}).
Similar(57)
Let S be the set of all those convex expectations which are bigger than a concave expectation (resp. less than a convex expectation, sandwiched between a convex expectation and a concave expectation).
Jensen's inequality states that if f(x) is a concave function, then E[f(X)] ≤ f(E[X]), where E[x] denotes the expectation of x.
It's a concave function.
The result is a concave shape to the slope profile.
Our statistically salient experience with endless hordes of convex faces in daily life installs a deep expectation of convexness: an expectation that here trumps the many other visual cues that ought to be telling us that what we are seeing is a concave mask.
There is a concave downward, curvilinear relationship between age and V(24).
Since is a concave operator, it is easy to verify that is also a concave operator.
The articular surface is a concave facet.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com