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The phrase "and the second models" is correct and usable in written English.
It can be used when referring to a sequence or comparison involving multiple models, typically in a context where the first model has already been mentioned.
Example: "We analyzed the first model's performance, and the second models showed even greater efficiency in the tests."
Alternatives: "and the subsequent models" or "as well as the second models".
Exact(9)
The first and the second models are subsequently analysed by using the linear and quadratic models, respectively.
The one-dimensional shallow water equation and the advection-dispersion-reaction equation govern the first and the second models, respectively.
The whole supply chain achieves the maximum profit under the MS-Bertrand game-theoretic approach in the first and the second models.
In addition, some notations utilized to model the first and the second models are defined in Appendices 1 and 2, respectively.
We use the Crank-Nicolson scheme, the traditional FTCS, and a couple of new fourth-order schemes and the Saulyev method to approximate the velocity, the elevation, and the pollutant concentration from the first and the second models, respectively.
The first agent performs simple reaction time experiments and produces actions in times similar to human subjects; and the second models phenomenal simultaneity within timeframes comparable to human subjects.
Similar(51)
The first model estimates shear strength, and the second model systematically provides conservative estimation.
The first is an approximate model with bounds on its uncertainty, and the second model is updated by statistical methods.
The first model (M1) estimated divergence using a stepwise model of population size change, and the second model (M2) estimated exponential population size changes in the polyploid and diploids.
The first model refers to the initial monument's stage till its current stage and the second model refers to its current stage till the restoration proposal.
The first model involved competitive adsorption between hydrogen and organic compound and the second model was based on non-competitive adsorption.
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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