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The phrase "a first conclusion" is correct and usable in written English.
You can use it when you want to discuss an initial opinion or idea that has been formed based on the evidence presented. For example: "After reviewing all of the research and data, we have reached a first conclusion that requires further investigation."
Exact(24)
He then offered a first conclusion that sounded like the essence of the pragmatic Big Society philosophy.
A first conclusion regards the extent of hiring discrimination based on North African origin.
A first conclusion is that the larger the packet size, the higher the maximum buffer size becomes.
A first conclusion, therefore, is that the error on the parameter error vector covariance matrix due to this approximation is of order ({mathcal {O}}(mu ^{2})).
A first conclusion is that most of the person and firm effects in the United States are related to educational or occupational capital, specific to the industry.
As a first conclusion of the experiments we can infer that the accuracy decreases for b = 4 in all the areas of the image.
Similar(36)
But Mr Cameron then offered a second conclusion.
A fourth conclusion, inevitably, takes in the listeners.
I would add a fourth conclusion, though this is more speculative.
This leads to a third conclusion: that Ted Cruz might actually get on the national ticket.
A second conclusion concerns the age-old maxim never to deploy a force without giving it a clear military mission.
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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