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The phrase "as a first case" is correct and usable in written English.
It can be used when introducing an initial example or scenario in a discussion or argument.
Example: "As a first case, we will examine the impact of climate change on polar bear populations."
Alternatives: "as an initial example" or "as a primary instance".
Exact(6)
As a first case study, the internal model approach is used for designing a controller that achieves an optimal routing and inventory balancing in a dynamic transportation network with storage and time-varying supply and demand.
The methodology has been validated with a synthetic solution containing Zn and nitrilotriacetic acid (NTA) and then applied, as a first case, to two coastal seawater samples taken close to Barcelona and Tarragona (Catalonia, North-Eastern Spain) finding values in the range of 1 3 nM, representing around 25% of total Zn.
We now consider, as a first case, a non-adaptive modulation scheme where β(γ k)=β is a constant for all k.
As a first case, Germany is preparing an Annex XV dossier for the PAH benzo[a]pyrene as substance in substance.
As a first case, linear first-order right components of the form (zequiv y'+a(x y+b(x)) are searched for; with the above notation (r x,y)=a(x y+b(x)).
As a first case, the analysis of a single microarray experiment has been used to extract biologically relevant information in terms of potential biomarkers.
Similar(54)
The Tinnerö area near Linköping was included as a third case.
As a second case study, we show that droop-controllers in microgrids have also an interpretation as internal model controllers.
As a second case study, we conjugated linker 1 to the adhesion peptide cRGD to yield cRGD-NO2 (Fig. 3a).
This genus has become a model for endosymbiosis research because it is widely accepted as a second case of cyanobacterial primary endosymbiosis12,13,14,15,16.
Then, as a second case study, we analyse the electric properties and biomass trade-off of the bacterium G. sulfurreducens, which constructs an electric biofilm where electrons move across the nanowires.
More suggestions(17)
as a first instance
as a first hypothesis
as a worst case
as a first piece
as a first dessert
as a first experiment
as a first application
as a first line
as a first course
as a first mover
as a first lieutenant
as a first effort
as a first activity
as a first game
as a first launch
as a first date
as a special case
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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