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The phrase "a first possibility is" is correct and usable in written English.
It can be used when introducing an option or suggestion among several possibilities in a discussion or analysis.
Example: "When considering solutions to the problem, a first possibility is to increase the budget for the project."
Alternatives: "one option is" or "the initial possibility is".
Exact(16)
A first possibility is that newly synthesized P2 proteins are casually located on the cell surface (stochastic hypothesis).
A first possibility is to satisfy the interference constraints only on average, conditioned on the available (mathbf {CSI}_{text {PU}}^{ q)}).
A first possibility is to use analytical models, which constitute a powerful tool for establishing, by means of mathematical formulas, a direct and clear relation between several system parameters and the system performance.
A first possibility is suggested by results obtained by Rizzon et al. [30] and Hanada et al. [31].
A first possibility is that even obviously intact TAAR contain inactivating missense mutations, but have just by chance not acquired ORF disruptions, yet.
A first possibility is that a verb activates cerebral motor areas since it brings about a motor image of the verbally presented action — suggesting that activation of the motor system takes place at the post-lexical level.
Similar(43)
A first possibility was that infected larvae feed less.
A third possibility is to alter expectations.
A second possibility is biological.
A third possibility is Tofino and Ucluelet on Vancouver Island's western coast.
A third possibility is for the Bronfman family to hold on to the division.
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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