Sentence examples for method developed above from inspiring English sources

The method developed above admits a straight forward generalization to higher order difference operators.

We apply the method developed above to three examples.

To demonstrate the utility of this assay in detecting intracellular FVIII in human samples, PBMCs obtained from blood-bank donors were stained with ab41188 and ESH8 antibodies according to the method developed above.

These results are summarized in Table 2 and Figure 4. Using the triplet method developed above, data from the hemagglutinin gene yields a pairwise rate of substitution between subtypes A-H3N2 and B, p ^ A − H 3 N 2, B C, of 8.66 (± 0.26) × 10-3 s/s/yr.

Finally, we note that the methods developed above for handling and approximating the dynamics of stochastic spatial models are in no way restricted to population biology, but would also be useful for other systems of reaction-diffusion type.

In parallel to Jia Xian's algorithm described above, another method developed for determining an nth root or finding the root of an equation of any degree, using the coefficients of what is now called Pascal's triangle and the same place-value representation (see the figure).

The method developed also serves to find improved relationship between the above material parameters of closed and perforated membranes.

To verify the above achieved results, we perform numerical parameter estimation by using the method developed in [ 46– 46].

Enzyme activities of the secreted mAChE mutants described above were measured spectrophotometrically using a procedure based on the method developed by Ellman and co-workers [58].

Now, we apply the optimal homotopy analysis method as developed above to the EHD flow (Equations 1 and 2).

(5.15) Using the same method as developed above nu_{N}(lambda)le Biggl(sum _{k=-N}^{N}frac{vert langle f cdot),varphi (cdot,lambda_{k})rangle _{mathcal{H}}vert ^{2}}{ |varphi(cdot,lambda_{k})|_{mathcal{H}}^{2}} Biggr)^{1/2} Biggl(sum_{k=-N}^{N}frac{vert langle varphi(cdot,lambda ),varphi (cdot,lambda_{k})rangle _{mathcal{H}}vert ^{2}}{ |varphi(cdot,lambda_{k})|_{mathcal{H}}^{2}} Biggr)^{1/2}.