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The phrase "a solution provided" is correct and usable in written English.
It can be used when referring to a solution that has been given or offered in response to a problem or question.
Example: "After reviewing the issue, we are pleased to present a solution provided by our technical team."
Alternatives: "a solution offered" or "a solution given".
Exact(17)
Then problem (1.10), (7), (8) has a solution provided that .
Hence the linear problem (16) with nonlinear impulses (2) has a solution provided that (7) holds.
However, Hartshorne sees in Plato's myth the elements of a solution, provided the demiurge and the world-soul are not separate deities, but aspects of the same deity.
Then, the common fixed point problem CFP f, g, E) has a solution provided that f is order continuous and g is a dominated map.
Then, the common fixed point problem CFP f, g, K) has a solution provided that f is continuous and g is a dominated map.
First we consider (1.2) as a perturbation of the nonlocal system and prove that if and grow linearly, then (1.2) has a solution provided is not too large.
Similar(43)
Of course such a solution provides a unique possiblerepresentative of the running time.
Therefore, security, software and cloud systems are likely to be as important in a networking solution provided to a customer as a network switch or a router.
According to Theorem 4.4, problem (5.1) admits a mild solution, provided that (4.1) holds.
Applying Theorem 3.1, we can find that (3.29) has a unique solution provided.
Then the problem (1.2) does not admit a nonconstant solution provided that frac{1}{d}>frac{8a}{5}-frac{25}{a }>frac{8a}{5}-frac{25}{a
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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