ML analyses followed a successive approximations approach similar to that described above.
The closest I can come to describing the sound that followed was an approximation of an old car hitting a wall, if the car was actually an animal.
The upper and lower bounds on interference power are given, followed by an approximation of the interference power, based on the modified upper bound, that significantly simplify calculation.
Confidence intervals were assumed to follow a normal approximation to the binomial distribution.
Furthermore, Australia's and Norway's incident rates for females do not follow a linear approximation (Fig. 4).
Following a finite difference approximation for the time derivative, the resulting nonlinear system of equations is solved at each time step by using an agglomeration multigrid procedure.
Following a high T approximation, ({bar {K}}) dominates and D xx may be neglected (Bradley and Harper 1988; Makeev et al. 2002).
It is seen that a two-step reduced chemical-kinetic mechanism involving as main species H2, O2, H2O, and H2O2, derived previously from a detailed mechanism by assuming all radicals to follow a steady-state approximation, suffices to describe accurately the ignition process.
In what follows, we give an approximation of the CDF of the PAPR for γ sufficiently small compared with PAPRc,sup.
Because a cc reflects the correlation between a sinusoidal function of a particular frequency and a voxel's differential time course (Engel et al. 1997), we estimated its significance based on the approximation that the cc follows an F-distribution in the null assumption, that is, zero coherence (Bandettini et al. 1993; Tootell, Hadjikhani, Hall, et al. 1998).
