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The phrase "a given number of" is correct and usable in written English.
It can be used when referring to a specific quantity or amount that is predetermined or specified.
Example: "The experiment requires a given number of samples to ensure accurate results."
Alternatives: "a specified number of" or "a certain number of".
Exact(59)
Each SLD requires a given number of wavelengths (its multiplicity).
Formats a number as a decimal with a given number of places after the decimal point.
You hand over your credit card details and pledge to exercise a given number of times a week.
Snapchat self-destructs in a given number of seconds, and if they try to screengrab it, you get a notification.
The ratios are high, not low -- a high number of adults to a given number of children.
But regional theaters are ruled by the calendar and by subscribers, locked into a given number of plays and musicals.
After a given number of years, the law would automatically revert to its former status unless Congress reauthorized it.
Ping is much more simple, it simply measures the round-trip response time for a given number of bytes.
They've drawn dots for each representative, and lines connecting pairs of representatives who vote together a given number of times.
Considering a given number of students who must be divided into a given number of teams, the algorithm both designs different alternatives to divide students into teams and evaluates each alternative as regards the grouping criterion previously mentioned.
Moreover, the worst case OBDD size of functions with a given number of 1-inputs is investigated.
More suggestions(16)
a given number of hours
a given number of shares
a given number of wavelengths
contributes a given number of
for a given number of degrees
for a given number of variables
for a given number of jobs
a given proportion of
a given outcome of
a given quantity of
a given prevalence of
a given label of
a devoted number of
a certain number of
a given form of
a given set of
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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