Sentence examples for are proven based on from inspiring English sources
The complexation between the corn starch and LiClO4 in the matrix polymers are proven based on the presence of the change in intensity, shape of peaks and shift in peaks as observed in Fourier transform infrared spectroscopy (FTIR) analysis.
Furthermore, the boundedness of covariance matrix and the convergence of the proposed filter are proven based on the strong connectivity of directed network topology and the global observability which permits the sub-system with local sensor's measurements to be unobservable.
These strong monotonicity results are proved based on explicit computations for measures in relevant Lévy Khintchine (or actually Kolmogorov) formulas.
Some related mathematical theorems are proved, based on which the basic ideas of the generalized wavelet-Galerkin method are described in details.
Finite time convergence of the system with disturbances is proven based on the homogeneity principles.
Moreover, the release mechanism was proven based on osmotic pressure and its profile could be well simulated by a dynamic equation.
It is proven based on the hierarchical system theory that, the developed controller enables the quadrotor system to track the reference trajectory asymptotically.
The derivation of the sliding mode controller relies on the fully nonlinear kinematic model of the articulated vehicle, while the overall stability of the control scheme is proven based on the Lyapunov's stability condition.
