Sentence examples for weighted modification from inspiring English sources

In 1928, Hardy [12] proved an estimate for the integration operator (or the Hardy operator) H f ( x ) = ∫ 0 x f ( t ) d t, from which the first weighted modification of the Hardy inequality followed, namely the inequality ∫ 0 ∞ x − r ( H f ( x ) ) p d x < ( p r − 1 ) p ∫ 0 ∞ x p − r f p ( x ) d x, (6).

However, using Lumley et al.'s weighted modification, the number of copies is basically irrelevant because the data set size is only doubled for any weights [ 31].

22 Briefly, GSEA is a weighted modification of the Kolmogorov Smirnov test, testing whether the distribution of test scores within a specific gene set significantly differs from the null distribution.

Our algorithms and their weighted modifications are favorably tested against other methods in the literature, producing a sensible improvement in performance on most of the standard statistical databases used as benchmarks.

In this article, we present a theoretical analysis of two common calculation methods in ELISA analysis (parallel line and reference line models), together with a new model, termed wPLL (a least squares-weighted modification of the parallel line model).

Combined with chromatin modifications, the weighted chromatin modification network (WCPN) was built, and a T2D-related chromatin modification pattern subnetwork was obtained by the TMSN gene set.

The T2D-related chromatin modification weighted subnetwork (TCSN) was built, composing of 16624 interactions (edges) and 863 genes (nodes), of which 156 seed genes were contained (see Methods for details).

Here, the weighted chromatin modification PPI network (WCPN) was constructed using the integrated background network and T2D-related chromatin modification data, which was composed of 99528 interactions (edges) and 9014 genes (nodes) (see Methods for details).

Construction of weighted chromatin modification PPI network (WCPN).

Thus, the weighted chromatin modification PPI network (WCPN) was constructed.

Edges were colored by positive interactions (therapeutic or increases), negative interactions (marker/mechanism or decreases), mixed interactions (affects or therapeutic with marker/mechanism), and color intensity weighted by any protein modifications.