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The considered system is governed by the third order differential equation.
The slow extraction system is used to provide quasi-continuous beam by the third order resonance and RF-knockout scheme.
Significant differences are also observed in the magnitude and distribution of the normal and shear stresses near the clamped edges, calculated by the third order theory and the classical and first order theories.
with α = 10-4, Figure 3a shows the signal representation obtained by the third order LPFT without any overlap.
When an intermodulated signal by the third order nonlinearity has a power as large as the power of a transmitted sinusoid, the transmission power is defined as IIP 3. Thus, the transmitted signal power Psig should be smaller than IIP3 as follows, P_{text{sig} text{ dBm)}} < text{IIP}_{3 text{ dBm)}}.
This approximation scheme computes precisely the effect on the mean and covariance of a normal distribution by the third order and below terms of the Taylor expansion of the non-linear function, while presence of fourth order or higher terms in the Taylor expansion introduce error [70].
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This probe size is mainly limited by diffraction and by the fifth order spherical aberration.
The CNS equations are numerically solved by the second order multidimensional upwind method.
First, a linear response surface is formed by searching for the design point by the first order reliability method.
The accumulated lethality was calculated and the obtained data were well described by the first order kinetic model.
The kinetics of phenanthrene biodegradation in all experiments was best fitted by the first order rate model.
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by the fourth order
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