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The phrase "a number of specified" is correct and usable in written English.
It can be used when referring to a particular quantity or selection of items that have been clearly defined or identified.
Example: "The report includes a number of specified criteria that must be met for the project to proceed."
Alternatives: "a set of defined" or "a selection of identified".
Exact(13)
A link-path is employed to include the design constraints that a number of specified joints must correspond to a number of specified links.
"The act found legitimate uses for marijuana therapy in a number of specified conditions".
Section 2515 proscribes generally the use of unlawfully intercepted communications as evidence before a number of specified bodies, including a grand jury.
In relation to the ITER-FEAT design efforts, component thermal responses have been evaluated for a number of specified transient events.
Final results are presented in the form of tables containing coefficients of optimal tuning rules for the PI controller, obtained for a number of specified gain margins.
The Act also specifically directed the FDA to consider whether health claims could be authorized for a number of specified nutrient-disease relationships, including the antioxidant vitamin/cancer relationship.
Similar(47)
Commanding widespread support from the American people, who saw Garfield's assassination as a product of the corrupt spoils system, the Pendleton Act at last made a reality of civil-service reform, creating a merit-based system of appointment and promotion for a limited number of specified offices.
The German army was restricted to 100,000 men; the general staff was eliminated; the manufacture of armoured cars, tanks, submarines, airplanes, and poison gas was forbidden; and only a small number of specified factories could make weapons or munitions.
For each phase, a substantial number of specified conditions have to be met.
This report consolidates information from a number of other specified reports on the livestock and grain market.
Under a number of assumptions specified, the extension applies to solutions Uμ(t) that can be written as sums of singular components cμt−1/2 (with unknown coefficients cμ), and nonsingular components ¯¯¯¯Uμ(t).
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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