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From the stable manifold, predictions of the domain of attraction of the stable equilibrium point may then be made.
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Comparison of the results for the two manifolds with experimental data of flame D show that both manifolds yield predictions of comparable accuracy for the mean temperature, mixture fraction, and a number of chemical species, such as CO2.
Based on leading-order approximations to the full governing equations and the use of non-linear algebraic equations in the definition of system manifolds and prediction lociin appropriate phase planes, regions of different dynamic behaviors (stationary states, single and multipeak oscillations) are qualitatively and quantitatively delineated as a function of residence time.
We first computed the estimated manifold distances and filtered all predictions with d (i ) > 40.
We then applied reestimated manifold distances on the remaining predictions and computed a recall precision curve when varying the manifold distance threshold.
These differences are caused by the finite rate solution deviating away from the assumed flamelet manifolds, rather than by inadequate regime predictions.
6, a similar analysis is carried out for the case of static inhibition; again a singular limit prediction of the spiking threshold manifold is identified.
The second stage uses a manifold regularization [4] process to ensure the prediction error is minimized when using the labeled target data.
The difficulty in selecting tools for SV prediction in non-human genomes is manifold.
Future improvements to the prediction of protein-protein interactions are manifold.
A more realistic prediction of the luminous intensity solid under manifold exterior daylight conditions is significant for the optimal design and installation of passive illumination systems using bended light guides.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com