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Discover LudwigThe phrase "a sum provided for" is correct and usable in written English.
It can be used in contexts related to finance, budgeting, or allocations where a specific amount of money is designated for a particular purpose.
Example: "The budget includes a sum provided for employee training and development."
Alternatives: "an allocated amount" or "a designated sum".
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We assume that the players' choices are independent, so we have the following calculation for \(i=1,2\): A two-player game \(G=\langle S_1, S_2, u_1, u_2\rangle \) is zero-sum provided for each \(x\in S_1\) and \ y\in S_2\), \ u_1 x,y)+u_2 x,y)=0\).
Beneficiary households receive monthly cash transfers that vary according to the size of the household, with additional sums provided for each child enrolled in school.
Crown land, in Great Britain, land owned by the crown, the income from which has been, since the reign of George III (1760 1820), surrendered to Parliament in return for a fixed Civil List, an agreed sum provided annually for the maintenance of the sovereign's expenses.
In the past, retirees relied on defined-benefit pensions to help defray these costs and were often able to sell their homes for a healthy sum, providing the means to pay for institutional care, while those with more limited means rely on Medicaid.
Similar legal concerns arise when health care providers want to divide up a lump sum of money provided for an episode of care.
To sum up, a framework is provided for the analysis of a public passenger transit system, situating capacity constraints within it.
Nearly overshadowing the Cabriolet was the intriguing MMI system, which cannot fully be explained here, but in sum, provides a much smoother ability for the driver to access car controls intuitively.
In a statement, an MoD spokesperson said: "We are currently considering whether a lump sum can be provided for future mesothelioma claimants.
The use of facet product and sum provides direct language support for concurrent engineering, where multiple specifications must be simultaneously valid.
This sum provides the original test statistic for subsequent comparison.
An approximation on the sum rate is provided for the proposed family of metrics, which is validated through simulations.
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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