The phrase "analysis and demonstrated" is correct and usable in written English.
It can be used in contexts where you are referring to both the process of analyzing something and the act of demonstrating findings or results.
Example: "The report includes a thorough analysis and demonstrated the effectiveness of the new strategy."
Alternatives: "evaluation and illustrated" or "assessment and showcased".
Judges said they "combined compelling personal stories with sophisticated political analysis" and "demonstrated exceptionally rigorous investigative skills".
While not a complete engineering design, the students subjected their concept to sophisticated engineering analysis and demonstrated the essential plausibility of this approach.
The performance of the proposed algorithm is established via condition analysis and demonstrated over severely ill-conditioned matrix systems from digital filter designs.
In particular, simple design criteria are found through a rapid and efficient optimization approach based on the mode analysis and demonstrated by the Finite Difference Time Domain (FDTD) simulations.
Narrative analysis supplemented social network analysis and demonstrated more explanatory power regarding the outcomes of the usability study and was an effective research method insofar as it mirrored the participants' evolving views of the design environment, suggesting that a reflexive approach to narrative data collection and analysis is warranted.
Fluorescence in situ hybridization (FISH) was also applied, to quantitatively assess the abundance of selected microbial groups, and revealed the underestimation of the abundance Methanosarcina by gene cloning analysis and demonstrated the spatial arrangement of these organisms within the architecture of the low-temperature solvent-degrading anaerobic biofilms.
This video describes the fitting procedure for Multiple Stripe Analysis, and demonstrates the Excel spreadsheet for this procedure.
A number of numerical examples sustain the analysis and demonstrate the usefulness of the approach.
We validate our analysis and demonstrate its benefits with numerical results.
We present DiffMut, a fast and simple approach for differential mutational analysis, and demonstrate that it is more effective in discovering cancer genes than considerably more sophisticated approaches.
Specifically, we will describe the principal component analysis and factor analysis and demonstrate how these concepts are applied to data visualization and data analysis of high-throughput experimental data.
