Your English writing platform
Discover Ludwig"formulated above" is correct and usable in written English.
You can use it to refer to an idea, opinion, or statement that was already mentioned in the same document or in the previous sentence. For example: "The research results indicated that further investigation of the problem was necessary. This was also formulated above."
Exact(39)
Without such a barrier, the extraction postulates as formulated above would allow the ill-formed sentence to be derived.
Let us consider that the mixed problem formulated above has two solutions, ( u i 1, φ i 1, ω 1, θ 1 ), ( u i 2, φ i 2, ω 2, θ 2 ).
The objective functions formulated above are subjected to the following constraints; comprising ESS units' capacity and operational limits, dispatchable DGs' power limit, grid power transfer limits, and all other technical requirements in the microgrid: {P}_i^{min }(t)le {P}_i(t)le {P}_i^{max }(t) (5).
The MIDO problem formulated above is extremely challenging to solve.
The equations formulated above now allow calculating absorbed doses.
Therefore, our conclusions formulated above are robust with respect to the choice of the normalization method, and, in more general terms, they should be valid for different estimates of the actual Bcd variance.
Similar(21)
In a project structure, strategy is not formulated from above and then implemented lower down; rather, it evolves by virtue of the multitude of decisions made for the projects themselves.
If interventionism is formulated as above, this criticism seems misplaced.
If formulated as above, a spacetime is a manifold of events with certain fields defined on the manifold.
At 0 h, they were injected i.p. with 3 mg Boc5 formulated as above or vehicle.
It fuses the link quality parameter and nodes' energy parameter to mathematically formulate the above problem for decreasing the interference and making the network energy balanced.
More suggestions(3)
Write better and faster with AI suggestions while staying true to your unique style.
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