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It is also found that the power output is not a monotonic function of the electric current density while the efficiency is a monotonically decreasing function of the electric current density.
We show, moreover, that the approximation error is (a) a function solely of the translation part of the displacement and (b) a monotonically decreasing function of the normalizing length, termed here the characteristic length.
By (3.1), (P x)) is a strictly monotonically decreasing function.
Proof: The theorem is proven by contradiction with a monotonically decreasing function V d.
Thus (f(x)) is a monotonically decreasing function for (x>0).
Lemma 6. f(x) = e x E n (x) (n ≥ 1) is a monotonically decreasing function.
The diffusion coefficient is a monotonically decreasing function of the image gradient magnitude.
It is easy to show that g is a monotonically decreasing function in terms of λ.
It's proven by Appendix 2 that Y γ 0 is a monotonically decreasing function of γ0.
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which is always less than zero, so the probability of the source keeping silent is a monotonically decreasing function of the parameter τ.
Our goal is to maximize total "utility" earned by the system, where the utility of a task is defined by a monotonically-decreasing function that represents the value of completing that task at different times.
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