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They are simplified systematically to a one-step approximation from which an explicit formula is derived determining the ignition time, in good agreement with predictions of the short and reduced mechanism.
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The results derived determine the characteristic function of the bubble method of the optimal shape design of elastic 2D and 3D structures.
Linear matrix equations are derived for determining the corresponding change of coordinates and output injections.
Conditions are then derived for determining the stability of the motion.
A buckling condition is derived for determining the critical buckling torque and associated buckling mode.
A looser condition can be derived by determining the dynamic range of the EDoF for a specific antennas deployment.
As a consequence, an approach is derived for determining the optimal number of clusters of a partition.
Dimensionless criteria are derived for determining the importance of intra- and interface heat and mass transfer in trickle-bed reactors.
An expression has been derived for determining the variation of crushing load during the formation of a fold.
Finally, the HawkRank scoring function was derived by determining the most optimal weights for five energy terms based on the training set.
Empirical expressions are derived for determining the A-basis and the B-basis material properties as a function of the sample size.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com