Sentence examples for proving the dependence from inspiring English sources

Section 4 ends by proving the dependence of the solution on the initial value and its uniqueness.

Our analysis shows that all five parameters have moderate correlations with PGA or PGV, proving the dependence of the soil nonlinearity on the ground-motion amplitude.

Further, in [7], the authors prove the dependence of the kth eigenvalues on all its data.

Analysis proves the dependence of output pulse width on hysteresis and thus on control voltages.

Structurally driven grouping of ILs having the same distribution as the tested property (the same color markers) proves the dependence between the structure and physicochemical property.

A parametric study proved the dependence of the PEM fuel cell cathode performance on the CNL porosity, the (Pt/C) agglomerate radius and the thickness of this agglomerate structure.

To further prove the dependence of the microwave absorption properties on the complex relative permittivity and the magnetic permeability, the reflection loss (RL) properties of the samples were calculated according to the transmission line theory, as follows: mathrm{R}mathrm{L}=20; log left|frac{{mathrm{Z}}_{mathrm{in}}-1}{{mathrm{Z}}_{mathrm{in}}+1}right| (1).

I analyze DUESs sequence and nucleotide frequencies, as well as those of all their mismatched forms, and prove the dependence of DUESs genomic overrepresentation on their preferential uptake by quantifying and correlating both characteristics.

This proves the dependence of possible enzyme on cofactor and that the reaction is a redox reaction.

The biomimetic models of Rieske clusters prove the dependence of the reduction potential of the center on the protonation state of its His ligands.

Next, we prove the continuous dependence of the mild solutions on the initial values.