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Slight variation in properties was observed as a function of sampling location, with the properties near the unworn surface displaying the greatest relative variability.
A closed-form weighted-equation-error method is derived which computes the optimal mapping coefficient as a function of sampling rate, and the solution is shown to be generally indistinguishable from the optimal least-squares solution.
The expression 0.8517*sqrt atan(0.06583*Fs))-0.1916 is shown to accurately approximate the optimal allpass coefficient as a function of sampling rate Fs in kHz for sampling rates greater than 1 kHz.
Fig. 10 Reconstruction error as a function of sampling rate and iteration number.
Fig. 8 Average detection time as a function of sampling rate for AWGN fading channel.
However, a clear advantage of using microcosms to study Taylor's law is that sampling error can be rejected empirically in future experiments, for example, by plotting variance as a function of sampling effort for different values of mean abundance.
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Goal: understand excess risk as a function of sample size and problem complexity.
The accuracy of parameter estimates is studied as a function of sample size.
Pfeiffer H, Brinkmann B, Hühne J et al. Expanding the Forensic German mitochondrial DNA control region database: genetic diversity as a function of sample size and microgeography.
The power consumption was measured as a function of sample thickness, ultrasonic amplitude, and applied pressure.
This difference reflects much higher penetration of the gamma radiation through the polymeric material as a function of sample thickness.
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