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The goal of this work is to reduce the cost of computing the coefficients in the Karhunen Loève (KL) expansion.
Thus the solution x can be approximated by computing the coefficients { q i } i = 0 p ˆ. Different methods can be used to calculate the coefficients.
An efficient algorithm is then presented for determining an exact solution to the resulting complex eigenvalue equations, and for computing the coefficients associated with the complex eigenfunctions.
Furthermore, for computing the coefficients of the expansion (u(x)=sum _{n=0}^{infty }c_nH_n(x)), we have to only compute a summation and the calculation of coefficients is exact.
In fact, the optimization process is more effective when computing the coefficients of C1 z) due to its smaller search space (which that has only two dimensions instead of the four dimensions of the G z) problem).
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Precision was assessed by computing the coefficient of variation.
After computing the coefficient values using the selector, the ranked feature list will be obtained.
The goodness-of-fit was estimated by computing the coefficient of determination from the norm of the residuals.
We described spatial variability by computing the coefficient of variation (CV) of temporally adjusted measurements across all sessions.
Interslice, spatial, and temporal variabilities were evaluated by computing the coefficient of variance (C.V ., or standard deviation divided by mean, expressed as percentage.
The engineers can easily develop their own computer program to compute the coefficients and hence obtain the solution for gas reserves and production performance in reservoirs.
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