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"is explicitly established" is a grammatically correct phrase and can be used in written English.
It is typically used to convey that something has been clearly and definitively established or confirmed. Here is an example sentence: "The rules and regulations of the company are explicitly established in the employee handbook."
Exact(3)
In presence of nonzero disturbance, the L∞-gain between the disturbance input and the (state and parameter) estimation errors is explicitly established in function of the design parameters.
A bound for the tracking error is explicitly established in terms of L2 norm, which helps improve the transient performance by selecting the control parameters.
In addition, the finite convergence time for each agent to reach the required consensus configuration is explicitly established and recipes for control parameter selection to make the residual errors as small as desired are provided.
Similar(56)
The plots had been explicitly established for studies on tree and stand development in managed, uneven-aged Norway spruce forests conducted under the 'ERIKA' research project at the Finnish Forest Research Institute (Metla).
One notable exception is priming under subliminal processing conditions, as here, where the relation between the prime and target cannot be explicitly established by the participant.
Indeed, NICE was explicitly established in 1999 to serve as a 'receptor' organisation whose work to inform clinical and commissioning decisions in the NHS would be directly informed by HTA and other clinical research [ 12].
According to the report, it was only explicitly established that 7% of all failures to record crimes were due to police disbelieving the victim.
On the other hand, since each modeled entity class using our profile is explicitly stereotyped, any relation established between them is subject to the (formally) defined ontological constraints of this relation.
P&R users' route choice behavior is explicitly considered, and a link-based multimodal user equilibrium model is established.
The legal basis of EU environmental policy was not more explicitly established until the introduction of the Single European Act in 1987.
Y, the contribution is explicitly defined in the study; P, the contribution is implicit; and N, the contribution cannot be identified and/or it is not established; QA2.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com