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"Reasonable people can disagree as to what's the precise solution to the current threat," he said.
Note that the value (Delta t) should be appropriately small, so that the solution of the ODE derived via the finite difference scheme (Eqs. 5, 6), approximates closely the precise solution of the ODE.
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The lack of such a two-dimensional theory has made the analysis of surface acoustic wave propagation in various waveguides primitive and difficult because the precise solutions cannot be obtained through any analytical effort and numerical solutions are also difficult to obtain because of the complicated nature of problems.
Nations, like men, often march to the beat of different drummers, and the precise solutions of the United States can neither be dictated nor transplanted to others -- and that is not our intention.
In other words, compared with dual-frequency, triple-frequency can achieve the same precise solution with less time, and therefore improve the avail-ability of precise solutions.
The most precise solution is derived for average value of meridional wind, the least precise one - for the longitudinal variations of zonal wind.
Figure A.1 compares Eq. (1) of this paper with the above-stated more precise solution Eq. (A.3) in the same format as Fig. 1.
The grids were constructed to achieve a sufficient intensification on the wall, ensuring a y + less than 4 and a more precise solution in the area where the velocity gradients are the highest.
This method being applied to another representative of space debris, namely the Cbers-2B satellite, has shown a similar result: there is not precise solution for the rotation pole either as it undergoes oscillations with various time scale from several hours to several months.
As the turbulence strength increases, however, the Rytov approximation no longer provides a precise solution to Maxwell's equations and the Rytov variance increases without limit.
In general, a precise solution of the first-exit time problem is unavailable.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com