Sentence examples for as one applies from inspiring English sources
This is no surprise since, as one applies automated reasoning systems into richer areas of mathematics, the systems take more on the role of proof assistants than theorem provers.
As a result, if one applies this methodology now in the second quarter of 2006, we could only expect to be able to predict with accuracy the median survival for cohorts that were diagnosed in the second quarter of 2003 or earlier.
The degradation of epoxy tensile strength (Benzarti et al. 2011), elastic modulus (Benzarti et al. 2011; Tuakta and Büyüköztürk 2011; Shrestha et al. 2014) and shear strength (Shrestha et al. 2014) due to moisture conditions was reported by other studies although the exposure conditions were not as same as the one applied in this paper.
In particular by (32), if one chooses a comparably large value for T in an adiabatic evolution experiment, the adiabatic approximation error may not decrease as expected when one applies a slow evolution speed (frac{lambda}{T}).
Most of the algorithms presented in literature, such as the one applied in this work, are based on the histogram of grey levels.
Following the same technique as the one applied for the proof of Theorems 2.6 and 2.7, conditions were given in [37], so that the difference equation (1.4) is to have a unique solution in or,.
Simplified life cycle assessment tools, such as the one applied in this study, are relevant to pursue effective solutions for reducing energy consumption and achieving low carbon solutions within the construction components industry.
The procedure was the same as the one applied to sample 1.
Such back-transformation of parameters is straightforward in a sampling approach such as the one applied here.
A structured format was used as the one applied in the presentation of the single studies in the appendix.
The same global process as the one applied to our cohort was also applied to the TN patients of the external cohort (GSE21653) to validate unsupervised analysis results.
