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Within the sphere of the "intellectual"—e.g., within scientific or historical scholarship inquiry is conceived in terms of a process of "approximation" to reality.
The choice was frequency, because generated signals of a crystal oscillator have a very high stable frequency and in the process of approximation all sub-frequencies are generated from it.
More generally, any process of approximation of elements of (K) based on (n) parameters can be formalized as the composition of two functions: the first, (mathcal{M } :Krightarrow mathbb{R }^n), represents the selection of the parameters, while the second, (mathcal{R }:mathbb{R }^nrightarrow X), represents the reconstruction.
The general process of approximation used is outlined in Figure 2. First, a computer model of the molecular system is prepared from nuclear magnetic resonance (NMR), crystallographic, or homology-modeling data.
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The well-known Banach contraction theorem uses the Picard iteration process for approximation of fixed point.
Calculations must proceed by a process of successive approximations, during which the flux of energy is taken to be constant with depth.
To put the point differently, the initial idealizations that Newton identifies can serve as the starting point for a process of successive approximations that should yield increasingly close agreement with the complex true motions.
Its usefulness lies in the fact that in fractal graphics, fractal objects are generated by an infinite recursive process of successive approximations.
By applying a process of stepwise approximations, we estimated the transmission coefficient (β=0.000010009257) associated with the mean annual incidence rate of 563 pneumococcal infections per 100,000 individuals > 50 years of age (Table 1).
Finally, the following example illustrates the whole process of the complete approximation algorithm based on the two-level-based framework.
This provides a powerful technique in the study of degenerate elliptic and parabolic problems through the process of regularization and approximation.
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