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The phrase "a first approach" is correct and usable in written English.
It can be used when introducing an initial method or strategy for addressing a problem or topic.
Example: "In this report, we will outline a first approach to tackling climate change through renewable energy sources."
Alternatives: "an initial approach" or "a preliminary approach".
Exact(60)
"It appears that there was a first approach," he said.
As a first approach, we used the Brome mosaic virus (BMV /yeast system.
A first approach considers the Saizerais Mine as a network of two chemical reactors (NCR).
As a first approach the HfN and NbC systems were treated.
In a first approach, the idealized two-dimensional case was calculated.
A first approach is to generalize the integral definition using the Wigner function.
A first approach to quantify their cracking risk was to measure their plastic shrinkage evolution.
A first approach to law initial rate of the growth is reported.
This study includes a sensitivity analysis as a first approach to uncertainty evaluation.
This model is intended to support a first approach of the design of IVS.
As a first approach to this problem, we focus in this paper on time minimization.
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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