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In a nutshell, the parameters are sequentially adjusted until the objective function is small enough.
These methods integrate exactly the unperturbed oscillators and are highly efficient when the perturbing function is small.
For large values of σ n, this function is small because the MMSE equalizer prevents noise enhancement.
The linear behavior of F results because the argument of the error function is small for the range studied ((K=1.03)).
From Figure 7, we find that the relative reward decreases with the increase of C. The reason is that the time impact on the reward function is small when C approximate 1.
We first provide an error analysis to our approach which, roughly speaking, states that the error between the exact (probably unknown) data function and the obtained fitting function is small whenever the scattered samples have a high sampling density and a low noise level.
Similar(47)
Only if the maximum slope of the utility function is smaller than this will result in then so that (26) is not violated.
Because of the utilization of the new fourth-order approximation function, the deviation from the ideal Gaussian function is smaller than 1 dB for an extended range of the input variable.
For, a subset is called -zone (stagnation zone with the deviation ) of if there exists a constant such that the difference between and the function is smaller than on.
Indeed, since by definition H k, t t = C k - 1, t and the cost function does not depend on θ, I k, t τ is the set of values for which a unimodal function is smaller than a constant.
This is such a heavily picked-over market that the odds of coming up with a new toothbrush function are small.
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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