Sentence examples for by using the quantities from inspiring English sources

For any isomorphism class X we showed that the value TRS X) can be computed by using the quantities in Table 1.

In the Appendix, we show that for each g ≥ 1, E [ H 1, g, f X ] = P 1 r 1 g + 1 + P 2 r 2 g + 1 + P 3, (17 where we have abbreviated a rather complex expression by using the quantities P 1, P 2, P 3, r 1, and r 2, functions that depend only on the admixture parameters and not on g.

Thus, by referring to the above definitions of direct, indirect and total water uses, it will be readily apparent that the output of sector i, x i, is carried out by using the quantity of water consumed directly by this sector, w i d (m3).

Blots were visualized by ECL technique and quantified by using the Quantity One 1-D analysis software (Biorad).

Results were analyzed by using the Quantity One version 4.4.1 Basic software (BioRad, Hercules, CA).

Band intensities were analyzed by using the Quantity One software (Bio-Rad Laboratories).

PCR products were quantified by using the Quantity One Software with reference to the standard from the kit.

Quantification of the signals was performed by using the Quantity-one software for Bio-Rad Image analysis systems (Bio-Rad Laboratories).

The images were visualized and analyzed in Gel Doc (Bio-Rad, USA) by using the Quantity One 1-D Analysis Software.

The relative quantification of individual lipid classes was obtained by using the 'Quantity One' Bio-Rad software program (Bio-Rad Landratories, Inormalizedormalized to the number of cells.

Visualization was achieved by using the chemiluminescence substrate CDP-Star (Tropix, Bedford, MA, USA) and the Bio-Rad VersaDoc imaging system, and signals were analyized by using the Quantity One quantification software (Bio-Rad).