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In recent years, owing to the development of numerical methods of analysis, more detailed information can be obtained from computation.
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However, since our sample consists mostly of very nearby galaxies, our results are not very far from those which would be obtained from computations based on a flat cosmology with ΩΛ = 0 and, therefore, our results can be compared— with due caution— to much earlier results from the literature (e.g. based on IRAS).
A more direct comparison between spatiogenetic separation and spatial distribution characteristics is obtained from computation of the purely spatial separations, i.e. the smallest spatial distance of an individual from all other individuals.
◦ Bootstrap values of recombinant sequences were obtained from computations involving only a few sequences from the pool of donor candidates.
The following two lemmas can be obtained from elementary computation.
This implies that all results can be obtained from pure computation.
The MSE upper bound (UB) P n + p UB can be obtained from an iterative computation of (114) for the general TV model.
For each measure, we show that if the p-value is known, the corresponding standard error and CI can be obtained from a simple computation scheme.
By comparing the degrees of linear correlation, R2, of each fitting line, it shows that Zhang-model is a better engineering method for life prediction of fatigue crack growth under negative stress ratio of aluminum alloy, some factors can be obtained from elastic-plastic finite element computation, and it will save a lot of funds in the new materials research.
Note that the generator g can be obtained from (71), (72) and (73) by straightforward computations.
In the actual numerical computations, the vector u g can be obtained from the QR-decomposition without forming Q or Q2 explicitly.
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