Sentence examples for provide the uniqueness from inspiring English sources

In this section, we provide the uniqueness and conditional stability in Theorems 3.1 and 3.2, respectively.

This self-organization is believed to provide the uniqueness required in designing 3D cell orientation architecture for reconstructed muscle tissue.

In the following example we show that Theorem 1 does not provide the uniqueness of the fixed point in general.

As condition (1) was derived for infinite planar layer, in the modeling of the wave-scattering by finite surfaces it must be combined with the edge condition to provide the uniqueness of the BVP solution.

The following condition provides the uniqueness of fixed points of the maps considered in Theorem 2.3 and Theorem 2.4.

Theorem 8 asserts that assumption (u0) together with Corollary 2 provides the uniqueness of common fixed point.

And then, we provide the existence, uniqueness, stability, and convergence for its CSM solutions.

However, theaforementioned quasi-metric fixed-point technique was only able to provide the existenceand uniqueness of solution to recurrence equations and not the complexity class.

These penalized regression methods provide the stability and uniqueness of regression coefficients.

Essentially, however, it does not provide us the uniqueness that we are looking for.

It also provides the first uniqueness result for a Fitzhugh Nagumo system.