The phrase "and methods as demonstrated" is correct and usable in written English.
You can use it when referring to specific techniques or procedures that have been shown or illustrated in a previous context.
Example: "The results were achieved using the techniques and methods as demonstrated in the earlier sections of the report."
Alternatives: "and techniques as shown" or "and procedures as illustrated".
Nonpher yielded data of higher quality than both SAscore and DR methods, as demonstrated by a lower amount of false predictions and by better balance between sensitivity and specificity of Nonpher model.
LAMP performed better than PCR and parasitological methods as demonstrated by its higher detection rate.
Our method represents an improvement over CStaR, IDA, and regression based methods as demonstrated for both simulated and two yeast datasets.
Thus, a combination of polycondensation and free radical photopolymerization methods, as demonstrated in this study, could be used to synthesize polyurethane-based block copolymers with tailored chain lengths of different blocks suitable for biomedical applications.
The catalyst sample was also characterized by X-ray diffraction, scanning electron microscopy and Brunauer Emmett Teller (BET) surface area methods, as demonstrated in our previous work [2].
Future work will look to validate these trends with more robust methods as demonstrated in other more homogenous clinical and economic reviews.
From a practical perspective, the proposed joint ML-based estimator leads to significant improvements in estimation accuracy compared to existing methods, as demonstrated by the simulation results in this section.
In the analysis module, a novel graded B-spline finite element solution procedure is described, which gives orders of magnitude of better convergence rate in comparison with current methods, as demonstrated in several case studies.
Secondly, the method explicitly accounts for differences in the coverage profiles between conditions, a confounding factor for other methods, as demonstrated in Figure 2. Thirdly, the method models inter-replicate variability on a regional basis along the whole genome.
Second, we used a new statistical method, random forest analysis, which has not been previously applied in HCT but which has several advantages over more conventional analysis methods as demonstrated by our results.
