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Exact(2)
The lower bound of holds true if the function is positive on.
The upper bound of holds true if the function is positive on.
Similar(58)
The function is positive and continuous on.
We would evaluate the strategy of player i as kind if the kindness function is positive, as the kindness function of player i is positive only when she is sacrificing her own material payoffs to increase the material payoffs of player j.
If a function is positive valued, continuous and decreasing for x greater than or equal to one.
For example, if a transfer function is known to be asymptotically stable, then a frequency response with nonnegative real part implies that the transfer function is positive real.
The scheme of the proof was based on the reduction of problem (1.8), (1.2) with to the equivalent integral equation where It is clear that the operator is positive if the operator and the Green's function are positive.
If, then for sufficiently small and any the function is a positive subsolution of problem (1.1).
Even if the Taylor series has positive convergence radius, the resulting series may not coincide with the function; but if the function is analytic then the series converges pointwise to the function, and uniformly on every compact set.
If this derivative is positive, the function is convex; if not it is concave (case I2), and the optimal strategy will be at one of the choice set boundaries.
All the coefficient functions are positive.
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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