It is important to note here that several iteration processes having various number of steps have been employed for the purpose of the approximation of fixed points for various classes of nonlinear operators.
It is possible to approximate the number of copies of HPV-16 detected by the various protocols tested assuming for the purpose of the approximation that there are 6.6 × 109 DNA base pairs per SiHa cell.
The purpose of developing this approximation is to estimate BER with an expression which is a computationally simple function of the equalizer weights.
For the purpose of analysis, the approximation of Y has been proposed using the fitted second-order polynomial regression model or quadratic model (Kung et al. 2009; Vikram and Pradhan 2014; Muthukumar et al. 2014; Sushil et al. 2016).
For the purpose of comparing these approximations, we prefer to write (13) as P { X n = x } ∼ a x + 1 1 − λ 1 λ 1 x n − x ( ℓ − 1 ) x exp { n ln λ 1 } (14).
Although protons are buffered by HCO3−, pH inside the T tubule can be expected to be low, and thus we assume here for the purpose of a rough quantitative approximation that the concentration of HCO3− deep in the T tubule is equal to the CO2 concentration of ∼1.3 mM (corresponding to pH 6.1) or even less.
This paper investigates the flexibility afforded by the application of regular perturbation methods (in particular, the method of multiple scales) for the purpose of obtaining higher order approximations of the oscillatory response of a nonlinear dynamical system.
For the purpose of the following derivation, a spherical approximation to the transformation between Cartesian and the geodetic coordinate system is sufficient: (9) (10) (11 where R is the approximate Earth's radius.
Furthermore, in the absence of clear observational evidence of supersonic flow, we assume that non-linear dynamics may be restricted to the near-vent region, and consider that the equations of linear acoustics represent a suitable first-order approximation for the purpose of our investigation.
But they are seen as a good approximation for the purpose of weighting the life-years gained to calculate QALYs.
This affected the volume of the reference measurement, which therefore, only for the purpose of this study, necessitated adjustment by approximation of the urine volume in the measuring chamber at the time of each measurement.
