Sentence examples for analysis are provided from inspiring English sources

The details on LC-MS analysis are provided in Supplementary Information.

Detailed design principle and rigorous stability analysis are provided.

Rigorous convergence proofs along with stability analysis are provided.

Experimental results that confirm the theoretical analysis are provided.

The system test results with an analysis are provided.

The proposed algorithm is implemented and numerical results supporting the analysis are provided.

Experimental results of the proposed integrated multi-scroll oscillator along with its corner analysis are provided.

The consistency, stability and convergence analysis are provided and numerical results are presented.

Finally, numerical simulation based on the benchmark of Ruiz and thorough statistical analysis are provided.

Experimental results and security analysis are provided to validate the stated goals.

Finally, numerical simulations supporting the theoretical analysis are provided.