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The fast version of the immersed interface method is used to solve the differential equations whose solutions and their derivatives may be discontinuous across the interfaces due to the discontinuity of the coefficients or/and singular sources along the interfaces.
It takes into account that the approximate solution may be discontinuous at grid cell interfaces and allows the approximation of discontinuities in the heat conduction coefficient.
The solutions vary smoothly along trajectories but may be discontinuous in an Eulerian sense.
In consequence, sensitivities calculated using the adjoint of the numerical scheme may be discontinuous or ambiguous.
The MPC law is able to achieve global asymptotic stability on these manifolds, because the MPC law may be discontinuous.
The state of the microstructure withineachcell is described by an additional field that may be discontinuous or highly oscillating.
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The surface amino acids may actually be discontinuous in the protein's primary structure, but get juxtaposed owing to the complex protein folding patterns (as in the adjoining figure).
For samples with high labeling densities, such as those possible when using small molecule fluorescent probes such as Alexa Fluor 647 phalloidin, regions of interest that could be seen using conventional microscopy (Fig. 7(b)), may appear to be discontinuous when analyzed using Nmax = 1 that can not process high active densities (Fig. 7 d)).
In climates with significant precipitation and periods of annual warming, the soil distribution may be highly discontinuous.
This means that a tvs-cone metric may be a discontinuous function.
At the convex edges, the film may be even discontinuous, as the photoresist reflows from these edges due to surface tension.
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CEO of Professional Science Editing for Scientists @ prosciediting.com