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This approach, when further elaborated for discrete-event systems represented by formal languages, turns out to impose a hard lower-bound inclusion specification on the closed-loop behaviour.
The act of going to war no longer represents the will of the people, as represented by formal Congressional declarations of war as the U.S. Constitution demands.
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Only one of 211 patients (0,5%) was represented by a formal legal representative, designated in advance.
They merely denote a conceptual or formal scaffolding, a logical space, as it were, whose points are represented by purely formal coordinates \((n\ -tuple of pure n\ -tuple
Indeed, Mrs. Clinton has campaigned with such quiet decorum during Mayor Rudolph Giuliani's travails that the public may be tempted to overlook the accomplishment represented by her formal nomination yesterday.
Since the white noise is mathematically represented by a formal derivative of a Brownian motion process, such stochastic analysis is based on various types of stochastic differential equations SDEs) of Itô type as a stochastic model.
Each speciality, for example urology and internal medicine, is represented by a formal scientific committee with experienced medical specialists.
Dankworth was capable of being a proper "dirty bopper" too, and did much to shake up the music scene of the Fifties where "jazz" was represented by the polite, formal stylings of the Ambrose or Ted Heath orchestras.
He must also have been aware of being in the same position as Rosa, composing music to the orders of a film man, as those orders are represented by Mr. Greenaway's formal and unnerving libretto.
In the AGM model and most other models of belief change, beliefs are represented by sentences in some formal language.
Section 2 shows how free logic may be represented by each of three formal methods: axiom systems, natural deduction rules and tree rules.
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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