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For a self-similar family of size distribution functions the envelope is uniquely determined by the growth exponent and an envelope parameter, where the latter is a new characteristic quantity of the coarsening system associated with the scaled size distribution function.
By selecting the appropriate moments of the equilibrium distribution functions, the macroscopic equations are recovered.
In common with other "Boltzmann-type" codes employing distribution functions, the Riemann problem does not arise.
For examining miRNA-target relationships using cumulative distribution functions, the predicted miRNA targets were obtained from TargetScan release 7.1, and filtered to eliminate predicted targets with poor total context scores.
With the help of the size distribution functions, the k-th mean square radii of gyration of hyperbranched polymers with and without a core are derived, respectively.
The chain-end distribution functions, the Helmholtz elastic energy and the force extension profiles of chains of variable stiffness are computed in an isometric ensemble.
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The bounds are attained in the limit by continuous distribution functions converging to the following distribution functions.
We also introduce a new generalized normal distribution function, the ellipsoidal NDF, to compactly represent non-symmetric features in our measured data and texture synthesis.
Figure 1 demonstrates the distribution functions underlying the four scenarios.
Finally, the optimal POR was determined by comparing the empirical distribution functions with the GPD model.
The KS test finds the maximum vertical distance between the empirical cumulative distribution functions of the two distributions in question.
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Justyna Jupowicz-Kozak
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