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By using the straightforward approach, data must be reorganized between processing stages (corner turn).
When the error cost of random codes was minimized by using the straightforward procedure described that includes only pairwise swaps at each step, 81% of the random codes for the PRS and 94% of the random codes for the Gilis matrix reached error cost values that were lower than the cost of the standard code (Fig. 3).
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The related work on a soft-hard pentafurcated waveguide problem has been tackled by Hassan et al. [22] using the straightforward mode-matching technique.
The ε preventing the sensing probability from being zero is justified by the following lemma (the proof is straightforward by using the fact that the derivative of function logx is infinite at x=0).
The controller form in (15) is the sum of resonant controllers like those in [14] but the implementation using HSRFs makes the frequency adaptation straightforward by using the value of (omega_{g}) estimated by the system PLL to carry out the frame rotation.
Analysis and interpretation of the results is straightforward by using the GPP and an available R-script and is thus not dependent on specialised commercial software.
Straightforward computation by using the recursive formulae shown in Theorem 2.4 and computer algebraic system Mathematica gives the following result.
A recursive formula for the surface impedance in the frequency and wavenumber domains can be derived for a layered earth in a straightforward manner by using the electromagnetic continuity conditions at the layer boundaries (e.g. Wait, 1981, pp. 43 55).
At least some of the techniques proposed in this work can already be employed with CNA in a straightforward manner by using the functions provided for interaction graphs.
This is a straightforward result that follows by using the same arguments as in the previous lemma.
One straightforward but computationally intensive way to learn the HMM is by using the EM.
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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