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Exact(13)
Then, the previous equation can be approximated by (13).
The Cauchy equation can be approximated by a constant refractive index value for longer wavelengths.
The above equation can be approximated by Gauss-Hermite quadrature: (8).
The equation can be approximated at high opacity (k0R) ≫ 1 as T ( R ) ≅ 1 π k 0 R (35).
If and in (5a) and (13) are evaluated at some arbitrary time, then the range equation can be approximated by the Taylor series expansion: (15).
However, we assume that N is sufficiently large so that the master equation can be approximated by the corresponding Langevin equation.
Similar(47)
We observe that solutions of a large class of highly oscillatory second order linear ordinary differential equations can be approximated using nonoscillatory phase functions.
(17) Similarly, all 2D steady-state equations can be approximated by the corresponding 1D time-dependent equations.
In the case where running and waiting distributions do not have finite moments, we expect there to be a large time asymptotic regime where our VJ equations can be approximated via a fractional diffusion equation.
Using the result from[26], Equation (16 ], Equation (15) can be approximated as σ w 0 j j 2 ≈ P w 0 j w 0 j j f B, where B denotes the bandwidth of the signal.
If we assume that, l25 << h wee, as for the normal cell (equation (20)), then equation (1) can be approximated with (2) Using this expression, we can compute quantitative predictions of cell size, e.g. if k1 is reduced by 50%, the cell size is expected to be twice as large.
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