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The phrase "a distinguished model" is correct and usable in written English.
It can be used to describe a model that is notable or respected in a particular field or context.
Example: "The fashion industry often looks to a distinguished model for inspiration during major events."
Alternatives: "an esteemed model" or "a renowned model".
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This ought to be a distinguished model of pure classical type theory ℒ1.
A Platonist might still ask whether, among all the models of the language of mathematics, there is a distinguished model, which may be considered to be the world of mathematics.
It turns out, somewhat surprisingly, that the topos generated by ℒ0 is a local topos; hence, the unique interpretation of ℒ0 in the topos generated by it may serve as a distinguished model.
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Another distinguished model is the genomic design model [ 6, 7], which suggests that the length of genomic elements is mostly determined by their functional load.
They distinguished "model-centric" approaches, where the meaning of CPG text is extracted and no longer related to the original text, and "document-centric" approaches, where the text of the CPG and its structure is retained.
Massoud et al. developed a distinguished swine AVM model with induced high blood flow across both retia, by surgical formation of a side-to-side arteriovenous fistula between the CCA and the EJV with the ligation of the CCA proximal to the fistula on the right side [ 13].
As a first step toward constructing a distinguished ω-complete Boolean model of ℒ1 one might wish to define the notion of truth in ℒ1, as induced by this model.
He exalts St. Thomas More over William Tyndale, declaring More's vituperative, scatological "Confutation of Tyndale's Answer" to be "the most important religious polemic in English culture.... Tyndale was a grave and learned scholar; More a distinguished humanist on the European model".
A distinguished feature of the new model is its utilization of fuzzy information in resisting uncertain failures and malicious attacks.
A formula $\osim A$ is read as "$A$ is not warranted by our current state of evidence" and it is evaluated with respect to a distinguished base state $g$ in a model $\cal M$$ ${\cal M}, w \models \osim A$ iff ${\cal M}, g \not \models A$.
The late variety did still have R37 as the dominant model on 90% of its sites, while 5% were made up of R6 and another 5% of other not-further-distinguished models.
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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