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Note that the convergence order of numerical solutions can be improved by an extrapolation method.
The complete in vivo resorption time within 3 6 months for α-CSH/ACP (60/40) was mathematically estimated by an extrapolation method.
The equilibrium sol-gel transition temperature, Tc, which was obtained by an extrapolation method based on multiwave oscillation, decreases with increasing chitosan concentration, and could be fitted to a parabolic equation, Tc = −4.1 + 48.0w - 11.5w2, where w is the weight fraction of chitosan in the alkaline aqueous solution.
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In order to solve this problem, Kauppinen and Roth attempted to increase the frequency resolution by applying an extrapolation method to the signal frame in the time domain [10].
Curie temperature estimation from thermomagnetic curves is supported by two different automated approaches: a second derivative method and a extrapolation method.
LaDeau et al. [ 26] used an extrapolation method to estimate the impact of WNV on birds.
By using a linear extrapolation method [20], the valence band maximums (VBM) of P-Si substrate, SiO2/Si, TiAlO/SiO2/Si, and Al2O3/SiO2/Si structure were determined to be 0.22 eV ( left({E}_{VBM}^{Si}right) ), 3 eV ( left({E}_{VBM}^{Si{ O}_2}right) ), 0.8 eV ( left({E}_{VBM}^{TiAlO}right) ), and 1.98 eV ( left({E}_{VBM}^{A{ l}_2{O}_3}right) ), respectively.
Furthermore, if (G x,t)) is not a periodic function, we can obtain better numerical results by using a Richardson extrapolation or a Romberg extrapolation method in a different way just like in our remark.
Furthermore, the numerical results in the table also display the fact that a higher convergence order can be got by the extrapolation method.
The method has been verified for different polymer samples having a wide range of values and showed a variation of <±6×10−3% from the values obtained by Huggins extrapolation method.
Figure 5 presents the valence band spectra of AlN/Si structures determined by linear extrapolation method.
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