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Exact(15)
Let ψ ̃ be a concave function on [0, 1].
The utility function should be not only continuous in strategy space but also be a concave function.
Unfortunately, the condition (4) is not sufficient for defined by (9) to be a concave function of.
In general, the η(τ s ) may not be a concave function in terms of τ s.
φ is said to be a concave function on Ω if and only if −φ is a convex function on Ω. (iii) Let (Omegasubsetmathbb{R} ^{n}).
Let ψ be a concave function on ℝ. Suppose that for any x ∈ ℝ, ψ + ′ ( x ) ≤ 0 or ψ - ′ ( x ) ≥ 1.
Similar(45)
It's a concave function.
Our main assumption is that the mobility of the particles is a concave function of their spatial density.
The decay time constant is a concave function of damping ratio, so large damping also has an adverse effect.
We show that SNReff is a concave function with a unique global maximum corresponding to the magnitude frequency response of the optimum targets.
To design efficient numerical methods, we prove that Helmholtz free energy density is a concave function with respect to the temperature under certain physical conditions.
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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