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The applied method enables derivation of novel expressions for estimates of the bulk and shear moduli, which depend on invariants of local stiffness tensor.
By adapting the size and chemical characterization techniques used in ambient particulate monitoring, the method enables derivation of emission source signature profiles from various combustion systems that are fingerprints of the fuel burned and the combustion equipment.
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This method enables the derivation of empirical magnitude scaling relationships in EEWSs on the basis of frequency information from the first few seconds of P-wave arrival [1, 2, 6, 12, 16, 21, 22, 23, 24, 25, 28].
A necessary and sufficient condition for stability of switched systems is given in terms of multiple generalized Lyapunov-like functions, which enables derivation of improved stability tests, an L2-gain characterization and a design method for stabilizing switching laws.
This enables derivation of the closed-form formulas for the straightforward design of the asymptotically optimal RUPQ.
Fitting to the analytical expression of this model (Eq. 18, Supporting Information) enables derivation of the dynamic parameters characterizing each process (Figure 4 and Table S1).
This method calculates genome-wide identity-by-state (IBS) allele sharing between each subject and its "nearest neighbor" in the data set (the subject with whom it shares the highest proportion of alleles); and this enables derivation of a Z-score distribution in which outliers are identified by an extremely negative Z-score produced by low allele sharing with their nearest neighbor.
That is, the devised data-derivation method enables the construction of a single FLC to accommodate a wide range of scenarios.
Thus, these methods perform approximation of textures within the target image in lower-dimensional subspaces and enable derivation of the inverse projection for the corruption.
We hypothesized that analysis of prospectively collected data would enable derivation of a more accurate model for estimating mortality risk.
They utilized an eigenspace that enabled derivation of inverse projection for the inpainting.
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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