Sentence examples for present a converse from inspiring English sources

Wang et al. [9], Wang and Xu [11] show that system (1) is of exponential stability in D if and only if T is contractive in D with a certain strongly equivalent metric and also present a converse not only to the exponential stability of system (1) different from the Lyapunov function, but also to the Banach contraction theorem different from the ones in Meyers [12], Leader [13], Opoitsev [14].

Recently Li and Kloeden [2] presented a converse Lyapunov theorem for exponential dissipativity of (1.1) in autonomous case with being globally Lipschitz in.

We now present a necessary and sufficient condition for the total converse duality to hold.

This paper adopt converse design thinking and presents a improved design thinking methodology based on Constraint:Function Behavior Structure for product appearance design and give a general summarization of the features, methods and technology based on human machine interaction and interface (HMI&I).

In the final section, we present the converse theorems for half-linear system (1.1), for comparison with Theorems B, C, and E.

However, approach adopted in the present study follows a converse methodology.

Although Williams (2003) presents a case in which a small "significant" p value could have led to an erroneous conclusion of practically meaningful difference, the converse also occurs.

They presented an example to show the converse is not true.

In this section we present some converses to the previous M- in det criteria.

In this section, we present some converses of the Young inequality and give several refinements for matrices and operators.

If f is concave, then reverse inequalities are valid in (7) with inf instead of sup in bounds C 1 and C. In this paper, we present refined converses of Jensen's operator inequality.