The production dependent deviations from this length may according to (Bomsdorf 1989), p. 162 be considered as normally distributed with expectation zero and unknown variance.
The general form of the model can be basically represented by two parallel networks: a nonlinear equilibrium response and a time-dependent deviation from equilibrium, in which the network parameters become functions of the damage rate (defined as the ratio of the applied cycle over the applied cycle to failure).
As previously discussed [43], the structures of bacteriorhodopsin reported by X-ray crystallography at a given resolution show a resolution-dependent deviation from the averaged (ideal) structure.
However, for individual sequence motifs we found sequence-dependent deviations from the simple position dependence (see Fig. 3).
The 36-ms transitions yielded attention- and voicing-dependent deviations from the linear regression of MMF strength on transition duration.
At low and high frequencies the phase lag is −π/2 and the modulus is inversely proportional to frequency, with a proportionality constant which is smaller at low frequency and is A dependent for all frequency; however, over a frequency range which is also A dependent, a deviation from the pseudo-planar behavior is found with the phase lag less than −π/2.
The progressive changes that are observed are time-dependent deviations of the beam shape from circular, wander of the centroid of the beam, increase in the width of the beam over and above that expected from diffraction, and breakup of the beam into distinct patches of illumination whose shapes and locations fluctuate with time.
However, the PRDV and IBDV were Doppler angle-dependent when the angular deviation from perpendicular incidence was larger than 12 degrees.
The dependent variable was the mean deviation from the shown points in millimeters.
The choice of δ is application dependent as it represents the deviation from the precise null that is just of practical consequence.
All dependent variables were examined for deviation from normality.
