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The phrase "a minimum of one week" is correct and usable in written English.
It can be used when specifying a required duration of time that cannot be less than one week.
Example: "Please allow a minimum of one week for processing your application."
Alternatives: "at least one week" or "no less than one week".
Exact(19)
Rentals are for a minimum of one week, except for London apartments, rented for a minimum of three days.
A minimum of one week before the first experimental trial, participants visited the lab for familiarisation with study protocols and the visual test battery tasks (see below, Visual test battery).
The N.H.L. still has no formal policy for preventing the hits that provoke concussions, nor has it adopted the recovery timetable (a minimum of one week off the ice for first-time concussion victims) suggested by researchers into sports-related brain injuries.
The patients did not use medication for a minimum of one week prior to the examination.
introduced the Paid Vacation Act of 2009, which would have required employers to give their workers a minimum of one week paid leave per year.
Following the research of Sonja Lyubomirsky, Ph.D. and Jeffrey Huffman, M.D., the study suggests recording at least three things that went well for the person for a minimum of one week, a total of at least 21 events; the study dictates that the incidents be written, along with explanations of why they went well, how it felt to the person doing the writing, and how it impacted others involved.
Similar(40)
In all instances, the suspension is immediate and for a minimum of one week*.
You are entitled to a statutory minimum of one week's notice for every year worked, up to a maximum of 12 weeks, or your contractual notice, whichever is the longer.
The visits for the validation study were scheduled with an independent physical therapist with a two week interval between visits (minimum of one week).
There is a minimum stay of one week; fees run $136 a week for 15 hours, $204 for 22.5 hours and $272 for 30 hours, at 7.58 francs to the dollar.
Minimum of one week gap is maintained to avoid any carry over effect from the previous study session.
More suggestions(19)
a minimum of one time
a minimum of one year
a minimum of one night
a minimum of one hour
a minimum of one session
a minimum of one day
a minimum of one cycle
a minimum of 1 week
a period of one week
a minimum of one boundary
a maximum of one week
a minimum of one liter
a snapshot of one week
a minimum of one nurse
a minimum of one parent
a minimum of one acre
a lifespan of one week
a minimum of one minute
a study of one week
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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