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By introducing the three sequential sub-maneuvers with Euler-angle transformations, the governing nonlinear equations become rigorously linear, which permits a closed-form solution to be obtained for the switch times and final time, where the three sub-maneuvers are coupled through the unknown switch times.
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However, the proposed methodologies produce the optimum results because of the rigorously proved linear formulation.
Moreover, the positivity of the discrete solution is proved and the well-posedness is analyzed rigorously for linear problems.
A population of 100 rigorously validated linear QSAR models were established based on the descriptors calculated in DRAGON program and selected by genetic algorithm (GA).
His last film, The Limey, was an eccentric, rigorously non-linear thriller starring Terrence Stamp as a vengeful Sixties throwback in Nineties LA.
Unlike other STIF models (e.g., the Spatial and Temporal Adaptive Reflectance Fusion Model, STARFM), RASTFM can find similar neighboring pixels more precisely through a non-local searching strategy and derives the weights of similar neighbors more rigorously via a linear regression model.
To study the magnitude of this "inter-site effect" on the SEE more rigorously, we used Linear Mixed Models regression analysis (LMM).
The solutions proposed to solve sorption/desorption problems are rigorously exact for piecewise linear isotherms.
This minimization problem is rigorously equivalent to a linear thermoelastic problem with a transformation strain which is a nonuniform field (not even uniform within the phases).
Tyndall [1, 2] treated rigorously a continuous-time linear programming problem with the constant matrices, originating from the 'bottleneck problem' proposed by Bellman [3].
Both exponential and linear stability are rigorously investigated for arbitrary grid spacings and arbitrary inhomogeneous, possibly lossy, isotropic media.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com