On the other hand, for (d=2), we cannot in general improve it as follows from the example with constant F and V.
For example, if you fit an ARIMA 0,0,0) model with constant, an ARIMA 0,1,0) model with constant, and an ARIMA 0,2,0) model with constant, then the RMSE's will be equal to the standard deviations of the original series with 0, 1, and 2 orders of nonseasonal differencing, respectively.
The fourth data set was simulated using the same tree topology as in the primary example but with constant evolutionary rate (see Materials and Methods).
For example, with a constant progression rate, the median total sample size required was 9,334 and ranged from 7,288 to 13,314, depending on the values of the infection parameters.
The example with the constant-velocity model shows that our method can eliminate the effects of geometric spreading and incident angles on the migrated amplitude, producing a depth section with correct kinematic and dynamic information.
For example, a particle moving with constant velocity v suffers a displacement s in time t given by s = vt.
Now an example of Lurie system with constant coefficients is presented.
Example of pure cubic oscillator with constant excitation and linear damping is widely discussed.
The example of the forced pendulum with constant torque is considered and results from a numerical Melnikov are compared with those obtained by other methods, including homoclinic tangency following.
The effect of curvature on the shear coupling of glass plies through the interlayer is examined in the paradigmatic example of a laminated beam with constant moderate curvature under radial loading with different boundary conditions, varying the initial camber, the end constraints and the elastic properties of the polymer.
