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The phrase "an arbitrary amount" is correct and usable in written English.
It can be used when referring to a quantity that is not fixed or predetermined, often in contexts involving measurements, values, or limits.
Example: "You can donate an arbitrary amount to the charity, as every contribution helps."
Alternatives: "any amount" or "a random amount".
Exact(41)
It's an arbitrary amount.
Supporters acknowledge that the $100 million was an arbitrary amount that will not come close to covering the actual cost.
Yes, £10,000 is an arbitrary amount, a potentially life-changing windfall, yet not a lot in terms of structural works.
To support integration with the real-time controller, the planner can provide useful advice when it is interrupted after an arbitrary amount of computation.
The petitioner claims that this act is unconstitutional because it prohibits him from deducting an arbitrary amount, to wit, 100 pounds, from each and every car of grain, irrespective of the fact whether or not it actually contains any dirt or other foreign substance.
They are also alarmingly widespread, particularly in, for example, the hospitality industry (where an arbitrary amount of tips can be counted as salary), and the social care sector (where carers are sometimes not paid for the travelling time between clients' homes).
Similar(19)
Cutting any arbitrary amount — like $100 billion — from discretionary spending will not result in meaningful long-term deficit reduction because deficits are not driven by discretionary spending.
The appraisers, however, say the complainers are singing off tune, confusing them (or more likely, trying to confuse them) with the difference between the appraised value of a property and the selling price -- the latter a purely arbitrary amount that a buyer is willing to pay.
Current GNA methods generally use a seemingly arbitrary amount of sequence information in their NCF, and also, they assume that the larger the size of a node's neighborhood, the better the alignment quality.
Only two items had increased in difficulty by what was considered a substantive, though arbitrary, amount (>5%) upon reduction to three options.
It usually involves taking a large jar or money box (something you can't easily break into) to which you will add a dollar (or some other arbitrary amount of money) every time you utter a swear word.
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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