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The phrase "and the second formulation" is correct and usable in written English.
You can use it when referring to a specific alternative or version of a statement, idea, or equation that has been previously mentioned.
Example: "In the first formulation, we considered the basic principles, and the second formulation introduces additional variables for a more comprehensive analysis."
Alternatives: "and the alternative formulation" or "as for the second formulation".
Exact(1)
Second, there is no reason to believe that sensitivity to MPH should favor one formulation at one time (i.e., MCD in the morning) and the second formulation at another time (i.e., CON in the evening).
Similar(59)
The reconstructed quadratic polynomial solution is then used for the computation of the inviscid fluxes and the viscous fluxes using the second formulation of Bassi and Reay (Bassi Rebay II).
The fifth and final formulation of liposomes was aliquoted from the second formulation and was not gold coated.
The first formulation involves one surface unknown and can be affected by resonant frequencies, while the second formulation avoids resonant frequencies and involves two surface unknowns.
The first three formulations (PEVGC1, PEVGC2, and PEVGC3) were outlined by Garcia-Cortes et al. [ 10] and the fourth formulation (PEVFL) was outlined by Fouilloux and Laloë [ 8].
Ignoring the issue of whether the identity makes sense (Needham, 2000) and of understanding what the predicates apply to in the second formulation (Needham, 2010a), it is not clear that either formulation expresses the kind of thesis that essentialists intend.
Specifically, the first formulation minimizes a single objective function of total costs across the supply chain while considering the greenhouse gas (GHG) limits in the constraints whereas the second formulation minimizes a bi-objective function (total costs and GHG).
In the second formulation, they modified the bacteria to express FimH and so-called chaperone proteins, which ensure that FimH folds properly.
Advantages of the second formulation of the tangent stiffness matrix in analytical manipulations and computations are also revealed.
The second formulation targets the aims of state officials.
The second formulation appeals to societal consensus, rather than actual consent.
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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