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The phrase "a first solution for" is correct and usable in written English.
It can be used when introducing an initial approach or answer to a problem or question.
Example: "We have developed a first solution for the issue of data security in our system."
Alternatives: "an initial solution for" or "a preliminary solution for".
Exact(4)
A first solution for a tech with American military training, for example, might be to recommend destroying all of the Type 314s where they lie, one by one, with small explosives charges, and not engaging in the potentially dangerous handling or further study of the weapons.
A first solution for mixing the channels is to simply add all of them.
The same group brings in 2005 a first solution for the reversible wetting on such surfaces [86].
A first solution for multi-view video transmission, known as simulcast [3], is to compress and send each view independently [4].
Similar(56)
In the following we will show the existence of a second solution for all (lambda>lambda_{1,ah}).
Inspired by weak label learning and semi-supervised learning, it comes up with a third solution for concept variant problem in game props recommendation task, i.e., Co-MIML with co-training techniques.
Indeed, in [24] the authors analysed the existence of a second solution for the fourth-order elliptic problem left { textstylebegin{array}{l} -Delta^{2} u -c_{1}Delta u +c_{2} u= u^{p} + k sum_{i=1}^{m} alpha_{i} delta_{a_{i}}quad mbox{in } mathcal{D}'(mathbb{R}^{N}), u(x)>0, qquad u(x to0quad mbox{as } |x|to0, end{array}displaystyle right.
A third solution, used, for instance for the COG database [ 44], is to create groups of homologs by manual inspection.
This work presents the first solution for the general case.
Recent research and development of wearable tremor suppression technology have shown a promising third solution for tremor management.
To solve that problem, former Demand Media CTO Sean Muller founded iSpot.tv seven months ago, hoping to provide an elegant and mobile-first solution for reaching those audiences.
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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