Sentence examples for use the linear assumption from inspiring English sources

We again use the linear assumption of Eq. (6) and write the transition probability matrix as {boldsymbol{Pi}}_{mathrm{N}}={left[mathbf{I}-left(mathrm{n}/2right){mathbf{M}}_{mathrm{N}}right]}^{-1}left[mathbf{I}+left(mathrm{n}/2right){mathbf{M}}_{mathrm{N}}right] (7).

Although there is increasing evidence of a log-linear association for cardiovascular mortality related to urban air pollution (Pope et al. 2011), we used the linear assumption for the principal analysis because studies on the cardiovascular effects of LFS have been inconclusive.

If linear assumption is not satisfied, we will use the linear spline function to explore the relationship between E/E′ and mortality.

A case study of a typical gas-side particulate fouling system shows that estimating the thickness using the linear profile assumption will lead to a 10% error in the estimated fouling layer thickness.

To allow for possible threshold effects (e.g., any vs. no PON1R192 isoform), the appropriateness of the linear assumption was verified using the likelihood-ratio test and by comparing modeled risk estimates to those obtained for individual genotypes.

The area under the curve (AUC) for the first 24 hr after dosing (AUC0 24) was calculated using the linear trapezoidal rule and the assumption that BPA in serum at the time just before administration (time 0) was zero.

Do the studies of infectious disease satisfy the linear assumption?

I'm using the linear method".

A class of inverse problems for the Laplace equation involves estimating the boundary function based on some values of the interior points using a linear assumption as regards the boundary function [7].

Most importantly, we illustrate the risks entailed in optimising the shape of arches using linear assumptions, which arise because the design drivers influencing linear and nonlinear designs are in fact topologically opposed.

As depicted in Figure 2, the variability in data from phase I/IIa trials may preclude any conclusions regarding the shape of the E-R relationship, but nevertheless, a treatment effect may be established using the assumption of a linear relationship and testing if the slope of the line is significantly different from zero.