Sentence examples for the same transformation with from inspiring English sources

More recent papers combined the same transformation with a link of the Cauchy matrices to the Hierarchical Semiseparable matrix structure, which is a specialization of matrix representations employed by the Fast Multipole Method.

Functional data were then normalized using the same transformation parameters with a voxel size of 3 mm × 3 mm × 3 mm, smoothed in the spatial domain (isotropic Gaussian kernel of 8 mm full-width at half-maximum).

Baseline and follow-up z scores were computed with the same transformation, e.g. using the mean and SD of baseline values.

In addition to the validation with the same transformation which was obtained for node-negative patients, a further iterative search was performed in order to improve the fit for node-positive patients.

Its special Riccati component allows the same transformation as in the preceding example with the result begin{aligned} yy -y'^2-x(x^2+2x+2)yy -y-(3x^2+4x+2)y^3-frac{displaystyle 1}{displaystyle x}y^2=0.

Fischer-type glycosylation of 1 with MeOH (with DOWEX™ 50 H+ resin at reflux overnight) has been reported before and delivers high proportions of the methyl pyranosides 14. 23a Alternatively, the same transformation was achieved conveniently, more rapidly and with substantially less catalyst in a continuous-flow process.

These results indicated that the plants with identical amplification banding patterns may come from the same transformation event.

In his view, Mr. Maliki has undergone the same transformation.

Yet I watched the same transformation all weekend long.

Stockholders of Martha Stewart Living Omnimedia undoubtedly hope the company can undergo the same transformation.

Much the same transformation has occurred in the Mexican-American population.