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Since the functional forms of these first order correction terms are fixed and unique, corrections to the familiar stationary Gaussian process approximations of probability density and exceedance rate functions are predicted to have fixed functional forms for fractionally small variance fluctuations.
As shown in Fig. 7(a) for the normalized variance, fluctuations are averaged out faster for the less viscous samples.
As they are by design susceptible to variance, fluctuations like in the case of decreased sample ratio with DS events per group (i.e. a lower percentage of DS samples) lowers performance as increased variance prevents effects from being significant.
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'k' is the turbulence kinetic energy defined as the variance of fluctuations in velocity and 'ε' is the turbulence eddies dissipation (the rate at which the velocity fluctuation dissipates).
While the population mean phenotype follows the moving optimum, generation-to-generation rates of phenotypic change in haldanes fluctuate as a consequence of nonselective factors such as genetic drift, environmental variance and fluctuations in the phenotypic variance.
Specifically, based on measurements at the level of the motor these authors proposed a fluctuation-response theorem, namely an approximate linear relationship between the adaptation time to step stimuli and the variance of fluctuations in CheY-P concentration.
Each Gaussian represents with its mean one of the colors that the pixel may assume, and with its variance the fluctuations of the actual color values around the mean.
The variance of fluctuations is shown in Figure 7C and 7D.
For mood episodes and self-harm the associations were characterized by great variance and fluctuations.
The variance of fluctuations predicted by the above Langevin equation is given by equation (87) with b≪1.
The solution of the latter equation is a multivariate Gaussian probability distribution and hence expressions for the statistics of intrinsic noise about the macroscopic concentrations, e.g., the variance of fluctuations, can be obtained straightforwardly from this formalism, a distinctive advantage over the CME.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com