The same approximation regarding will be used for the CIR system.
We obtain a linear relationship between the coupling constant and the average acoustic intensity, and the critical values of the coupling constants are acquired through linear approximation regarding the onset of the primary acoustic instability.
The validity of the commonly applied approximation regarding the random scission of highly branched polymer chains is assessed by a direct comparison of the average molecular properties of LDPE (i.e., number and weight average molecular weights), calculated by the combined kinetic/topology MC algorithm, with the respective predictions obtained by the commonly applied method of moments (MOM).
MMSE and Low-Rank Approximation regard the channel as stationary random vector.
The second level of approximation regards the Markovian modelling paradigm.
For each scenario, the relationships between this ratio, vehicle emissions coefficients, and delivery region geometry may be able to give insights and provide approximations regarding carbon emissions performance.
In Appendix A, we describe the Wright Fisher (WF) simulations used (solely) for checking our analytical approximations regarding the probability for adaptation from standing genetic variation (Equation 14).
The penetration of biomonitoring into our social fabric has generated a wholesale shift in focus from the environment as a model for human exposure a method that requires approximations regarding concentration, length of exposure, frequency of exposure, "susceptibility," absorption, distribution, metabolism, and excretion to a focus on the individual.
A 75-term polynomial expression is also presented for computing specific volume, with a better accuracy than the existing TEOS-10 48-term rational approximation, especially regarding the sound speed, and it is suggested that this expression represents a valuable approximation of the TEOS-10 equation of state for hydrographic data analysis.
We mention, in particular, existence and approximation results regarding fixed points of those nonexpansive mappings which are not necessarily strictly contractive [2, 3].
We evaluated the completion time and approximation quality of each SFC, in order to choose the one that achieves the best balance between timing performance and approximation accuracy, regarding the water consumption dataset.
