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A two dimensional Poisson's equation has been solved with parabolic potential approximation to establish the expressions of front and back channel surface potential distribution and the threshold voltage has been derived from the minima of such obtained potential.
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The workflow results in a probabilistic geothermal resource assessment using a response surface derived from the minimum required number of designed reservoir simulation runs.
The idea consists in adopting the variational iteration method to solve the non-linear Hamilton equations derived from the minimum principle theory.
Structural descriptors, derived from the minimum energy conformers, obtained by molecular mechanics and semiempirical level quantum chemical calculations, were correlated with dye affinity for cellulose by MLR.
The duration of such time slots is derived from the minimum time that is needed for the detection of an OFDMA symbol in the subchannel.
This value is derived from the minimum control rate required between MS and its relay as a function of the separation distance.
One can note a sharp improvement in performance achieved by the new algorithm derived from the minimum BER strategy, especially in the case of nonminimum-phase channels (such as and, see Figures 8 and 9) and good SNR circumstances.
Since the conventional solutions share some characteristics with those derived from the minimum-norm solutions, we prefer the latter minimum-norm solutions, at least in the case of ALOS/PALSAR in Fig. 4, because they do not leave a long-wavelength phase slope in either the dispersive or nondispersive phases.
However, it remains unknown whether the effect originates from the task frequency per se, or from the rate of LF change (a prediction that could be derived from the minimum jerk hypothesis) which increases with both LF frequency and LF range.
The novelty of the proposed approach is that the transient stability constraints for each contingency are incorporated into the OPF model as a single stability constraint derived from the minimum kinetic energy for normal unstable case or the minimum accelerating power distance for extreme unstable case using the time domain simulation based single machine equivalent (SIME) method.
where α is the weighting term, e.g., 0.98, is an estimate for the short-time power spectrum of clean speech derived from the minimum mean square error short-time spectral amplitude (MMSE-STSA) estimator [15],, and is the estimated noise variance which is given by [16] as (5).
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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