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The drawings are fairly crude, based only on images from the Web site Military City, and Ms. Prince's use of five shades of paper to approximate different skin tones is a well-intentioned gaffe.
Many researchers have developed various numerical methods, especially iterative methods to approximate different types of differential equations, see [2, 3, 4, 5].
Sediments were leached sequentially with a series of six chemical treatments designed to approximate different environmental processes that may occur or to selectively extract trace metals contained in different solid phases of the sediments (i.e., exchangeable, reducible, carbonate, organic, acid leachable, and refractory).
Detailed error analyses show that when compared to explicit theoretical calculations, the systematic errors in the calculated rate constants arising from the use of analytical expressions to approximate different reaction class factors in the RC-TST method are less than 40% on the average over the temperature range from 300 to 3000 K.
The coefficient can be optimized to approximate different distances, e.g., road distance or travel time, under varying conditions.
As this is not possible for methodological reasons, alternative approaches have been employed to approximate different aspects of natural optic flow.
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In this work, we propose an efficient multi-mesh adaptive finite element method which approximates different components of the solution (velocity, pressure and phase variable) on different h-adaptive meshes because of their strongly different local behaviors.
We think that this method is general enough for approximating different mechanisms underlying the stability of sexual/asexual complexes.
When we want to compare models approximating different sets of experimental data, we could calculate the mean AIC coefficients by the formula (8) AI C mean = AIC n exp where n exp determines the number of experimental points.
We found that the two-rate model that approximated different rate parameters for non-diplogastrid Rhabditina and Diplogastridae was favored over the single-rate model for both form (ΔAICc = 5.34; p = 0.01, likelihood ratio test) and shape (ΔAICc = 11.71; p < 0.001), with rates in Diplogastridae being higher.
In general 3rd or 4th-order t-polynomials were sufficient to approximate the different muscle fibre paths.
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