Sentence examples for example it is proved from inspiring English sources

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.

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].

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

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.

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.

It is proved in [[20], Example 1] that both and are total asymptotically nonexpansive mappings with,,.

It is proved in [[19], Example 3.1] that both and are asymptotically nonexpansive mappings with,.

It is proved by several numerical examples that the manufacturability constraints are always strictly satisfied.