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For HB method, by substituting approximation ˜y(x) into force equation, expanding the resulting expression into a trigonometric series, then letting the coefficients of the resulting lowest-order harmonic be zero, one can obtain approximate coefficients of approximation ˜y(x) [R.E.
They are the unknown coefficients of approximation.
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Explicit expressions of weighting coefficients for approximation of derivatives are presented.
We derive and utilize explicit expressions of weighting coefficients for approximation of fractional derivatives to reduce a Riccati differential equation to a system of algebraic equations.
Key point in this method is the determination of the weight coefficients for approximation of spatial derivatives.
The design points and the coefficients of the approximation polynomial are determined by numerical iteration using six moving points.
end{aligned}To solve the above problem, we apply system of (14) and coefficients of kernel approximation (8).
The coefficients of an approximation equation considering ETT resistance were fitted separately to the measured pressure-flow curves for inspiration and expiration.
The extracted features are coefficients of Karhunen Loève approximations of the surface faults.
The first block in Figure 1 implements a multiresolution analysis (MRA), using the stationary wavelet transform (SWT), providing two types of wavelet coefficients: approximation coefficients used for modeling the traffic overall tendency and detail coefficients used for modeling the variability around the overall tendency of traffic.
Let denote the largest coefficients of the coarsest approximation subband.
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