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Numerical treatment is reduced to the system of two partial differential equations written in characteristic coordinates.
Thereby, characteristic coordinates for the location of a solar cell and an exemplary loading scenario are considered.
Approximate solutions are sought using the two timescales perturbation method in conjunction with the method of characteristic coordinates.
The dynamic displacement-response and the energy of the belt system obtained using the method of characteristic coordinates are compared numerically.
In this work we develop an adaptive algorithm tailored to the integration of finite difference discretizations of wave-like equations using characteristic coordinates.
In this paper, it is shown how characteristic coordinates, or equivalently how the well-known formula of d'Alembert, can be used to solve initial-boundary value problems for wave equations on fixed, bounded intervals involving Robin type of boundary conditions with time-dependent coefficients.
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Final LUR models included the following variables: traffic counts, roadway lengths, distance to truck routes, land use characteristics, coordinates of the sampling sites, and satellite-derived soil brightness.
In fact, equation (1) at (y le 0) and on the characteristics coordinate (xi = x + y) and (eta = x - y) in summary looks like: u_{xi eta} = frac{q_{1}(xi )q_{2} eta )}{4} int_{xi}^{1} (t - xi )^{gamma - 1}u t,dt,dt.
More importantly, NMuMG cells transfected with β3 integrin siRNAs only exhibited rudimentary EMT characteristics coordinate with the expression of αvβ3 integrins, which exhibit significantly delayed expression in response to TGF-β.
The local concentrations of morphogens and their gradients generated in silico make it possible to calculate the rates of root cell division and compare the resulting dynamic characteristics (cell coordinates on the axis, auxin concentration, and division rates) with the characteristics of cell types located in vivo along the central root axis.
Changes in biological characteristics require coordinated variation in expression of gene sets which regulate biological activity, and this information can hardly be extracted from changes in expression of individual genes when overlapping among studies is so low [5].
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CEO of Professional Science Editing for Scientists @ prosciediting.com