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It is further shown how to design stabilizing control laws for gliding motions using the derived function as a control Lyapunov function and how to compute the corresponding regions of attraction.
The form of the derived function is also confirmed by the constancy of calculated thermal blob mass for a given polymer of different molecular masses, dissolved in a solvent of a given quality.
Based on the derived function, a method by offsetting the semi-major axis is put forward to maintain the longitude of the ground track cross node, and the offset calculation equation is presented as well.
The derived function is validated with available experimental results.
f denotes the primitive function, and (f^{(cdot)}phantom {dot {i}!}) denotes the derived function.
In order to keep the derived function as close to the original function as possible, it requires the derived function not only to have the same values, but also the same derivative values on the inserted nodes.
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The derived functions for calculating lateral water translocation may be incorporated into single-tree models.
Finally, by comparing velocity, acceleration and jerk of the derived functions, optimal results for the transition curves are provided.
The derived functions describe absorbance vs time and electrode potential vs absorbance relations in case of spectrophotometric measurements by transmission, external reflection and internal reflection methods.
Limitations Discussion of any and all limitations of the derived functions.
Uncertainties Discussion and identification of the uncertainties associated with the derived functions and how they are accounted for.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com