Sentence examples for expand the expression from inspiring English sources

Using this fact, we can expand the expression ( 1 − ( w − z w ) ρ + 1 ) − α − 1 in power series.

Our studies expand the expression of spastin to human fibroblasts, hiPSCs and astrocytes and indicate that the M87 isoforms of spastin are expressed in diverse human cell types.

cDNA samples derived from three additional time points (D0, D7 and D9 after treatment) were included to expand the expression pattern data for these genes.

We decided to expand the expression analysis beyond the adult stage and investigate the expression profiles of eight miRNAs across different developmental stages, from early embryo to female adult.

Interview questions were posed and techniques such as open and closed-ended questions specific to their related experience were used to clarify and expand the expression of participant's views [ 20].

We can again expand the expressions of Theorem 1 around (c = infty ) for the optimal values of p from [26, Section II.B] but with the added parameter r, the resulting formulas are quite a mess.

The affine formulation (6) (resp. (6) and (10)) can then be derived by simply expanding the expression (16) (and (17)) in terms of the subdomains Ω l and the different entries of K i j l.

Expanding the expression of displacements in the region of anchor-grouting into a Maclaurin series, and utilizing the cumulative displacement curve of the surrounding rock through observation, a theoretical model is set up.

Further, we expanded the expression analysis of AP2/ERF genes using the gene expression database SRA (ERA047687) submitted by Brown et al [ 34].

When we expanded the expression of TAβ42 to include all clock neurons, by using tim,repo-gal80, the flies became behaviourally arrhythmic.

There is no simple analytic solution to Equation 3 but assuming | s| < 1, we can obtain an approximate solution by expanding the expression in powers of s ^.