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Of central importance in the collective worship of the dead is the visit of the departed members to their old home; among the Eastern Finno-Ugric peoples this approximates with the Christian feast of Easter, and among the Western it is in late autumn (e.g., the Finnish Kekri, November 1, an ancient festival to celebrate the seasonal change).
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The time derivatives are approximated with the Crank-Nicolson method [ 32] that yields an implicit approximation to the solution of the initial value problem y′ = f x, y) with y x0) = y0 at x for a given time step h.
The conventional wisdom is this: candidates who overperform then receive increased attention from the news media — presumably because they have exceeded the news media's expectations, which we can approximate with the pre-caucus polls.
Suppose y can be sparsely approximated with the dictionary D.
and, therefore, the optimum constellation can be approximated with the solution of the following problem: (14).
Inhomogeneities in modified Helmholtz equations are approximated with the thin plated radial basis functions.
The complimentary CDF can be approximated with the trapezoidal numerical integration technique.
Fluorescence decay kinetics was approximated with the sum of two exponential curves.
In the case of a finite sample, the expected value is approximated with the average of the observed values.
This artifact is considerably mitigated when the RMSE is approximated with the Monte Carlo method of Section 4.2.
Consequently, the fading factor in uncluttered and cluttered case can be approximated with the values obtained in ideal case.
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