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For natural texture images fractality is limited to a range of scales, and the fractal dimension as a function of spatial frequency presents as a fractal signature.
We conduct a comprehensive analysis on the characteristic impedances and the propagation constants of nano-scale aluminum metallic wires in relation to the change of line dimension as a function of frequency from 1 to 100 GHz.
The corresponding colour fractal dimension as a function of time are depicted in Figure 15.
Figure 12 The colour fractal dimension as a function of time, blue-original, red-received, for the "football" video sequence.
Then, we can express each dimension as a function of some constant k (such that w k,h k,d k).
Frame 23Frame 24Figure42Frame 155Frame 0Frame 77Frame 105Frame 192 Figure 15 The colour fractal dimension as a function of time (blue-original, red-received/degraded) for the "female" and "train" video seq".Female""Train" Figure 16 The colour lacunarity curves versus time for "female" and "train".
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The models, with the resulting parameter values, were then used in design mode to determine column dimensions as a function of drop size.
The values of ΓSi are displayed in three dimensions as a function of sin θdis/2) and cos ∠c,n); θdis is the disorientation angle.
The scattered intensity was measured in two dimensions as a function of the vertical scattering angle, αf (i.e., along the vertical direction of the detector), where the angle between the incident and diffracted beam is 2θ xy.
Differences in IOCv2 dimensions as a function of sociodemographic and treatment characteristics (age, time since diagnosis, treatment and partner status) were examined using Pearson correlation coefficients and Student's t tests.
A new technique which employs bothPicard iterationand expansion inshifted Chebyshev polynomialsis used to symbolically approximate the fundamental solution matrix for linear time-periodic dynamical systems of arbitrary dimension explicitly as a function of the system parameters and time.
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