Values of the federal funds rate that fall in the shaded area are relatively "close to" (technically, within 2 standard deviations of) the corresponding forecast values.
Nearest-neighbor interactions between protein dimers, dinucleotide steps, and between protein domains and DNA are governed by harmonic potentials (see Equation 3 in Materials and Methods) with thermal fluctuations of each DNA base pair expressed in terms of standard deviations of the corresponding angular parameters from their static values.
This process was repeated 1,000 times, and the average values and standard deviations of the corresponding network properties are shown.
M i, i = 1,..., m denotes the fluctuation matrices due to independent random noise sources n i, i = 1,..., m, and the elements of M i denote the standard deviations of the corresponding parameter fluctuations.
The expressions of the training set are transformed to zero mean and unit standard deviation across samples, and the test set are transformed according to the means and standard deviations of the corresponding training set.
For an organism, we calculate equilibrium concentrations [Aeq] and [Xeq], reached at three values of [Aout], 0.1 mM, 1.0 mM, and 10 mM and assay deviations of the corresponding values of [Aeq] and [Xeq] from the desired 1 mM value.
The subsequent local limit Theorems 3 and 4 which pertain to the values of p∈(1,2) and p>2, respectively, present the exact asymptotics of superlarge deviations for the corresponding partial sums of lattice r.v.'s.
For a given cell line, they were calculated for each measured metabolite j as, where and are the mean and the standard deviation of the corresponding exchange flux in the two replicate measurements.
The deviation of the corresponding experimental data was found to be in an acceptable range, confirming the suitability of RSM for predicting the membrane performance and consequently optimizing the separation process variables.
The deviation of the corresponding experimental data was found to be in an acceptable range, confirming the suitability of RSM for predicting the membrane performance and optimizing the additives contents.
It has been found that the pdfs, mean and standard-deviation of π/2×κ2Dm and π/2×S∗2Dt faithfully capture the pdfs, mean and standard-deviation of the corresponding three-dimensional counterparts, κm and S∗t respectively.
