Sentence examples for theoretically established from inspiring English sources

The analysis of a complex periodic wave into its spectral components was theoretically established early in the 19th century by Jean-Baptiste-Joseph Fourier of France and is now commonly referred to as the Fourier theorem.

The current contribution intervenes and brings the camp, theoretically established in literature, to the north.

For this purpose, mathematical modeling is the theoretically established tool to analyze such systems.

Several numerical examples are provided verifying the theoretically established robustness results.

Boundedness of all signals and (local) asymptotic stability of the desired equilibrium is theoretically established.

The steady state solution is theoretically established, which agrees well with the numerical prevision.

In this section, we theoretically establish the bounds for drug concentration predicted by the model in the retinal domain (Omega_{R}), assuming for simplicity no convective field.

In this work, a paraboloid microtexture is employed as a typical example to theoretically establish a relationship between surface geometry and superhydrophobic behavior for a final optimal design.

Fractional-order models have been shown to be more accurate than integer-order models, and in applications of these models, it is important to theoretically establish conditions for the existence of positive solutions.

The major contributions of this work are summarized as follows: 1) We theoretically establish the link among the cross-correlation coefficient, total SDR as well as in-band SDR (or EVM), and the resulting PSD.

We theoretically establish the global convergence of the proposed algorithm to the set of stationary points, which may be suboptimal due to the non-convexity of the original minimum rate maximization problem.