Sentence examples for uniqueness system from inspiring English sources

Because the existence of the solution is implied by the uniqueness, system (2.10 - 2.11) has a unique solution pair.

By the uniqueness theorem system (18) has a unique solution; therefore, (T(t+w z=u(t+w)=T t)T w z).

We present the classical Massera theorem which is a milestone among the results of limit cycles uniqueness for system (1.2).

In Section 4, the existence and uniqueness of system of solutions is proved with the aid of the fixed point theorem.

To prove the existence and uniqueness of system (2), it suffices to show (mathcal{H} z)) is a homeomorphism of (mathbb{C} ^{n}) onto itself by using the homeomorphic mapping theorem on complex domain.

This work identifies the utility and uniqueness of system control as a centrality measure, provides an example of an application of control analysis to identify key ecosystem components, and identifies a potentially important difference in the roles of nitrogen cycling components at two sites.

Even if the numerical approach is widely used, surprisingly there has been no attempt in the literature to provide a general proof of the equilibrium existence and uniqueness of systems modeling the thermal decomposition of polymer materials.

The uniqueness of systems medicine (SM) is the recognition that different specific complex factors are important in disease management and that these factors need to be incorporated in some meaningful way for treatment selection and delivery.

For the automotive catalytic reaction system, uniqueness criteria for the steady state are obtained by use of the contraction mapping principle and the Hammerstein uniqueness theorem.

We have got a sufficient condition for the existence and uniqueness of the system solution.

Therefore, we verified the uniqueness of the system of solutions of equations (9).