Sentence examples for by observing the linear from inspiring English sources
The second claim is proved in an analogous manner, by observing the linear functional (Gamma_{mathrm{ELR}}) instead of (Gamma_{J}).
Initially, we examined if the associations between exhaust and traffic variables and the outcomes of interest were linear by observing the estimated degrees of freedom and 95% CIs from a penalised cubic spline; if they were not, we divided the exposure of interest into quartiles.
By observing a linear dependence of the half-life period on multiphoton image-size (data not shown), we found that high-order photobleaching is also an accumulation of single-pulse events [ 22].
In addition to their proliferative capacity, an essential property of bona fide stem cells is their self-renewal potential, which can be demonstrated in neural stem cell cultures by observing a linear cell growth kinetic under the appropriate neurosphere assay conditions and in long-term cultures [28].
However, Coppersmith, Stern and Vaudenary [6] gave an efficient attack by observing linear combination of components of the public key.
In Additional file 1: Figure S11, we observed the similar linear relationship between intron counts and CDS length by grouping genes by chromosomes for H. sapiens.
The findings were supported by the positive associations observed in the linear dose response meta-analysis.
The strongest effects were observed for the linear spermine polyplexes.
By achieving a significant reduction in the dimension of genotypes, PCA is shown to benefit non-linear models, similar to what has been observed for the linear RRPCA model [ 22].
This direct linear relationship was confirmed by scaling experimental data to both values using Expression Console (Affymetrix, Santa Clara, CA) and observing the ratios on a probe by probe basis.
