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The different edge-preserving functions have very similar effects on the reconstructions, since they all are monotonically decreasing functions, except the exceedance functional, which penalise gradients smaller than the threshold value, and for larger values these functions are almost flat and tend to zero, meaning that these gradients are preserved in the images.
In opposite cases, Dependencies of visual quality metrics are monotonically decreasing functions of CR.
Then the ECs in (27), (28), and (29) are no longer monotonically decreasing functions of the transmission time.
Here we emphasize that the expected number of retransmitted fragments, and consequently, will be monotonically decreasing functions of the number of retransmissions.
Note that when N = 1 it can be easily shown that the distortion and the outage probability are monotonically decreasing functions of power.
In contrast, many commercial device simulators assume that (1) minority mobilities are monotonically decreasing functions of dopant densities and (2) nie values are essentially equal to ni in GaAs.
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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.
More specifically, T B SP(H) is predicted to be a non-monotonic, bell-like function for non-interacting systems, as opposed to a monotonically decreasing function for weakly interacting systems.
Thus (f(x)) is a monotonically decreasing function for (x>0).
By (3.1), (P x)) is a strictly monotonically decreasing function.
Lemma 6. f(x) = e x E n (x) (n ≥ 1) is a monotonically decreasing function.
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