Sentence examples for exists coupling from inspiring English sources

As there exists coupling between a Lyapunov function matrix and system parameter matrices, we utilize a slack matrix to decouple it.

Due to interference, there exists coupling among the achievable rates on the same hop.

Note that there exists coupling between channel and CFO estimation and their joint estimation is helpful to achieve the best estimation accuracy for these parameters [19, 20].

In the previous section, we have proved that there exist coupled minimal and maximal solutions for the differential equation equation (15).

The idea was to present pictures of "people living a life that doesn't really exist", couples under water with dolphins, men larking about on idyllic beaches.

Theorem 3 Adding condition (2.12) to the hypotheses of Theorem 2, we obtain the uniqueness of the coupled fixed point of F. Proof By Theorem 2 there exists a coupled fixed point ( x ¯, y ¯ ).

The reason is not clear yet, which may be due to the already existed vertical coupling between BL QDs.

Then there exists a coupled random -periodic point such that,, and a.e.

Then there exists a coupled random fixed point such that, and a.e.

Then there exists a coupled coincidence point of F and g.

Suppose that there exists another coupled coincidence point ((u,v in Xtimes X) and hence (gu=F u,v)) and (gv=F v,u)).