Sentence examples for substantially linear from inspiring English sources

α Deff has a substantially linear relationship with αD b, with a nearly-zero intercept, indicating both parameters can serve as relative blood flow indices, but αDeff is expected to provide a more accurate absolute measure.

This observation is well supported by a recent study [ 12] based on 4161 COs resulted from 46 meiosis (Additional file 1 - Figure S1), in which CO number is substantially linear proportional to chromosome size (correlation coefficient squared as R2 = 0.985).

Neural network retrievals of atmospheric water vapor were shown to substantially outperform linear regression retrievals for an 80-channel hyperspectral microwave sounding system based on a global simulation using the NOAA88b profile dataset.

The other curves in Figure 1 are all quadratic, because these improved substantially over linear models (WIHS p = 0.0003 for age and p = 0.0054 for calendar year; UHS p = 0.018 for age), but parametric splines with up to 4 parameters did not appear to substantially improve the fits further (all p > 0.22).

The simulations continue to substantially non-linear perturbation amplitudes, beyond the limits of the analytical approach, and the presented perturbation amplitudes can inform future non-linear modeling.

Accordingly, a proper choice of a processing method is of paramount importance when analyzing substantially non-linear dependencies of flame radius on time.

It also substantially outperforms common linear filters such as median-filtering and low-pass Wiener filtering.

The estimated LOESS smooth curve differs substantially from the linear regression curve.

For PM the estimated LOESS smooth curve does not differ substantially from the linear regression curve.

We show that the resulting graphs deviate substantially from classic linear diagrams and from oncogenetic trees, therefore indicating a high degree of genetic complexity in the process of carcinogenesis.

The EC01 for the truncated data changed substantially for the linear model (from 0.040 to 0.020 ppm, a 50% decrease) but less for the log-transform model (from 0.0005 to 0.0006 ppm, a 20% increase) and for the two-piece model (from 0.0010 to 0.0011 ppm, a 10% increase); we observed no change for the linear-exponential model or the square-root model (data not shown).