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This painting seems to be waging war upon refinement of any kind.
Robust convergence upon refinement of the finite element/Fourier representation is highlighted.
Specifically, convergence of the control strategies upon refinement of the ODE approximation used in the controller calculation is not guaranteed.
Solution verification has historically been too expensive, relying upon refinement templates resulting in an 8X multiplier in the number of elements.
The scheme is built upon refinement of a family of generalized B-splines that unify classic B-splines with algebraic-trigonometric B-splines and algebraic-hyperbolic B-splines.
Ideas would flow from Berkeley to France and vice versa, and so it would continue for the next six months, refinement upon refinement, until the finished score was recorded in London in the autumn of 1996.
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Mature wiring patterns are often attained upon the refinement of early, less precise connectivity.
This paper considers the convergence upon grid refinement of control strategies derived from ODE aproxima- tions of diffusive boundary-controlled linear PDE systems.
This was the head city of Tuscany, not inferior to Rome, either in number of arms or multitude of soldiers, insomuch that, presuming on her wealth and luxury, and priding herself upon her refinement and sumptuousness, she engaged in many honourable contests with the Romans for glory and empire.
The techniques used are redolent of those previously applied in the study of A. In particular, the arguments are based upon the refinement method of Christ, although a significant adaptation of this method is required to fully understand the additional smoothing afforded by averaging over dilates.
In the numerical sense, results show an extreme sensitivity to the spatial discretization, and deformation localizes into an infinitely narrow band upon mesh refinement.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com