Sentence examples for established a criterion from inspiring English sources

No binding limits on individual countries' emissions were established, a criterion crucial for halting the current increase of carbon in the atmosphere.

end{cases} (1.3) Wang et al. [7] established a criterion for the existence and uniformly asymptotic stability of unique positive almost periodic solution of system (1.3) with almost periodic parameters.

By using the Lyapunov function, some analysis techniques, and preliminary lemmas, Wang and Liu [2] further established a criterion for the existence, uniqueness, and uniformly asymptotic stability of positive almost periodic solution of system (1.1) with almost periodic parameters.

Throughout the paper, we assume that α and β are ratios of odd positive integers, r ∈ C 1 [ t 0, ∞ ), r ( t ) > 0, r ′ ( t ) ≥ 0, q, τ ∈ C [ t 0, ∞ ), q ( t ) > 0, and lim t → ∞ τ ( t ) = ∞. Agarwal et al. [6] established a criterion for the existence of bounded solutions of (1.1) under the assumptions that n is even, ∫ t 0 ∞ q ( t ) d t = ∞, and ∫ t 0 ∞ r − 1 / α ( t ) d t < ∞. (1.2).

We established a criterion metric for categorizing rats as belonging to extreme phenotypes (see first section of " Results" below).

Now we are ready to establish a criterion for the interior of a solid cone.

Input-output models have not, in the past, required establishing a criterion for choice.

We also establish a criterion for transition between noncomposite and composite wetting states.

7. Kant himself could be regarded as establishing a criterion for membership in a moral community: the "kingdom of ends".

The purpose of this paper is to establish a criterion to guarantee the existence of T-periodic solution.

We establish a criterion for the global stability of switching CGNNs with state-dependent impulses in Section 5.