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We apply the results to the uniqueness problem in rational approximation and to the asymptotic behaviour of poles of best meromorphic approximants to functions with two branch points.
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The motivation behind the study is to quantify the physical differences concerning fluid flow and heat transfer characteristics between low Mach number and incompressible approximation and to examine the validity of the later for convective-radiative problems in an enclosure.
As a second approximation and to reduce the endogenous levels of ERα, we treated MDA-MB-231 cells with fulvestrant.
To show how precise are our approximations and to compare the analytical results with the simulation results for the proposed bandwidth borrowing scheme and then with the conventional scheme, a system with C=16 and T=8 is considered.
The new approximation results are compared to existing approximations from the literature and to the real probability functions calculated from a computer generated two-phase micrographs.
The information collected from the beginning up to each monitoring point is modeled by the orthogonal function approximation and PCA to extract the correlated feature.
Before performing regression analysis, sRANKL, OPG, and sRANKL/OPG ratio were logarithmically transformed for approximation to normality and to approximate the residuals to the normality in multiple linear regressions.
[Doug Bates recalls George Box saying this (D. Bates, personal communication).] In the context of our applied problem, we viewed the task of building a model to reflect the underlying population and harvest dynamics as the big approximation and the approach to model fitting as the small approximation.
Apollonius studied the Pythagorean legends of the previous centuries, created and propagated the ideal of a Pythagorean life of occult wisdom, purity, universal tolerance, and approximation to the divine and felt himself to be a reincarnation of Pythagoras.
This paper describes these problems and their causes and approximations to the SEA-like parameters of the modified system are proposed.
In the following few sections, we therefore focus on designing sub-optimal algorithms by introducing appropriate assumptions and approximations to the quantized regions and power codebook.
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