Sentence examples for example it was proved from inspiring English sources

For example, it was proved in [20] the stability of positive LTI systems is delay-independent, which implies that time delays have no effect on the stability of the systems.

For example, it was proved that drying the silver-hydroxyapatite using the sublimation method leads to the preparation of a material with finer crystals, thereby also enhancing the activity of antibacterial Ag-HAp [ 57].

For example, it was proven by Brands [2] that for every nonnegative p ( t ) and bounded delay τ ( t ), (1.7) is oscillatory if and only if corresponding ordinary differential equation (1.10) is oscillatory.

Through an analytical example, it is proved that the derived sensitivity formula coincides with the analytic solution.

Although the backoff time is usually not uniformly distributed between [0,1] in the actual protocol (binary exponential backoff, for example), it is proved in [28] that assuming a uniform distribution for the time marks does not affect the generality of the model.

Through numerical examples, it is proved that the developed method can find a shape with good performance irrespective of its initial shape.

For example, in [9], it was proved that all the nilpotent centers are limit of linear type centers; and consequently, the Poincare Lyapunov method to find linear type centers can be also used to find the nilpotent centers.

For example, in [4, 43] it was proved that some very interesting Korpelevich-type algorithms strongly converge to a solution of V I ( C, A ). Very recently, Yao et al. [33] suggested modified Korpelevich's method which converges strongly to the minimum norm solution of variational inequality (1) in infinite-dimensional Hilbert spaces.

(b) It was proved in [36, Example 2.7].

The efficiency of the proposed method is illustrated by a numerical example where it is proved that the relation ≤HW shows better performance than the relation ≤UC.

According to a calculation example of the whole process, it is proved that the SGVF process has potential in seawater desalination.