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This facilitates approximate calculation of the critical points, i.e. the ignition and extinction points as given by the turning points of the S-shaped curve.
The major difference between the two methods is the following: The perturbative approach discussed in Section 4 is based on a linearization around the Gutzwiller solution ρ ˆ μ 0 = | 1 〉 μ 〈 1 | which facilitates (approximate) analytical solutions - whereas coupled equations (6), (8) fully include the evolution of ρ ˆ μ ( t ) and its back-reaction onto the dynamics of the correlations.
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Mining such frequent co-occurrences can facilitate approximate computation of several useful item similarity measures.
ALM employs a two-tier storage architecture (i.e., centric storage node and local storage node) to facilitate approximate query resolving and to reduce the energy consumption of sensor nodes.
Type-based interpersonal representations can be likened to heuristics that facilitate approximate Bayesian inference.
The sequential solution is facilitated by approximate interface conditions that ignore the effect of multiple reflections.
The complex task of determining the eigenvalues numerically is largely facilitated by approximate expressions obtained from the asymptotic analysis of the singularities that appear in the eigencondition.
The resolution of these global basis functions is, of course, excellent, but more importantly they facilitate an approximate de-aliasing procedure that stabilizes the simulations without adding any numerical dissipation or further restricting the permissible numerical time step.
The two formulations are developed based on data of arsenic uptake and biotransformation in human and rat hepatocytes (NP: Normalized AQP9 activity, NM: Normalized AS3MT activity, MRS: Methylation Reaction Substrate) In order to facilitate direct comparison, approximate volumes of the cell cultures used in different experiments (per well) were estimated.
Thus, to facilitate the analysis, we approximate X and Y as exponential distributed random variables.
Eigentriple grouping aims at arranging the eigentripes in sets in order to separate additive components that are exactly or approximate separable, facilitating the analysis of the eigenvectors.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com