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Subsequently it was proofed if significant non-linear effects could be adequately approximated by segmented linear effects.
The BHE field pattern is often assumed to be regular (e.g., rectangular, L-shaped, T-shaped, etc)., or is assumed to be adequately approximated by one of these shapes.
To ensure this procedure provided reliable predictions of tree height, the models were only fitted using discs cut at greater than 5-m height, as above this height, stem taper was found to be adequately approximated by a quadratic model.
A technique to determine this function is suggested, which is based on the assumption that the maximum beam response can be adequately approximated by means of the first beam mode.
Our interpretation of this result is that while r is less than the number of patterns, there is excess variance in the data that cannot be adequately approximated by the NMF matrix.
Finally, to simplify the mathematics, ensemble Kalman filtering schemes assume that the errors in the data and the model are gaussian (or can be adequately approximated by gaussian distributions).
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The experimental data for compressive strength as a function of strain rate are adequately approximated by power-law fits.
For large solid toughness, the fluid lag is vanishingly small at any underpressure and the solution is adequately approximated by the zero-lag self-similar large toughness solution at any stage of fracture evolution.
However, examining those ions that cannot be adequately approximated with an atlas could provide a route to the automated discovery of new physiological or chemical subdivisions within tissue areas that are considered to be homogeneous by anatomy.
This dataset was included as a demonstration that the methods described in this work will not always work; natural systems are sometimes too complex to be adequately approximated.
According to Sachs [ 38], a binominal distribution is adequately approximated to normal distribution if n*p*q ≥ 9 (n = sample, p = frequency of outcome, q = 1-p).
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