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First the local scattering matrix and phase matrix for the reflected and refracted waves are derived at each interface of two layers in terms of local co-ordinates.
The major focus is on the design of the fault estimation algorithm such that, for all randomly occurring uncertainties, stochastic nonlinearities and packet dropouts, an optimized upper bound of the estimation error covariance is derived at each time step and the explicit form of the estimator gain is provided.
Table 2 shows the distribution of diagnoses derived at each reliability assessment by the RSE.
Best splits of the training data are derived at each node using a subset of the input features.
Fig. 4 A minimum curvature fit for the onset times in the (left) j = 5 or 48 192 s, (centre) j = 6 or 24 96 s, and (right) j = 7 or 12 48 s period bands as derived at each magnetometer station.
The decision rule to identify loci subjected to selection was based on a Bayes Factor (BF) derived at each locus from the posterior distribution of the δi [12].
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With these, a response curve is derived at the end of each set of simulations.
Their pared-down look derived at once from traditional Japanese spareness and from the work of American minimalists like Dan Flavin and Donald Judd.
This can be clearly seen from the data derived at a more disaggregated level, such as census tracts.
The amount of agricultural GDP is derived at the subnational unit using available data of various origin.
Our success can only be derived at through collaborative efforts.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com