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Then the accelerations are obtained from velocity estimates using the Taylor approximation differentiator.
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Since the NHANES is a complex survey design, all estimates are corrected to be representative of the US adult population and standard errors are calculated using the Taylor Series approximation.
TP is computed from SINR using the Shannon approximation similarly as described in[30].
In[18], Zou et al. used the Taylor approximation to find the relationship of the PFA and PD.
Given a regular 2D grid with constant step sizes h in each direction, we use the Taylor approximations in all 8 neighbouring pixels.
All t-tests used pooled variance except for the "Overall" subscale of the Mood stratum which used the Welch approximation to degrees of freedom due to unequal variances.
All analyses were conducted with Stata V.12, using the Taylor expansion approximation technique for calculating the design-based estimates of variance.
Using the Taylor's series approximation of E [ 1 2 log 2 ( 1 + X ) ] about the mean, the approximate expression for E [ R B LB ] can be seen to be E [ R B LB ] ≈ 1 2 log 2 ( 1 + E [ X ] ) − 1 2 E [ X 2 ] − ( E [ X ] ) 2 log e ( 4 ) ( 1 + E [ X ] ) 2. (2.).
Confidence limits for the apparent and true prevalence estimates were determined using the Wilson binomial approximation [ 19, 20].
Constant-rate pumping tests were carried out to determine S by using the Cooper and Jacob (1946) approximation.
We used the Rogers and Huff approximation for loci with unknown phases [ 93].
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