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Discover Ludwig"a first example" is correct and usable in written English.
It can be used in a sentence to introduce something as the initial or primary instance of a larger group or category. Example: "Let me give you a first example of how to use this new software."
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As a first example, consider e-mail.
Let's take Venus at 92A as a first example.
As a first example of non-linear behaviour, creep under tensile loading is considered.
Compound 3 shows a first example of parallel polycatenation for highly coordinated 2D 3,10L3 nets.
A first example to stabilize a simple pendulum was developed applying the FSTPD.
Oxidation of glucose into gluconic acid catalysed by glucose oxidase was a first example.
In particular it is a first example of a minimizer of the relaxed energy having non-trivial minimal connection.
The substituted p-quinodimethanes with ester groups are a first example to show an amphoteric behavior in alternating copolymerizations.
A first example of 1D coordination polymer [MnTHPP·H2O· DMF 2 (1)] with right-handed helicity and opticity was successfully assembled.
As a first example data on graphene layers on SrTiO3 which have been irradiated with Xe36+ are presented.
This paper provides a first example of a practical application of the Functional Land Management concept relevant to policy stakeholders.
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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