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The phrase "analogously for the second" is correct and usable in written English.
It can be used when drawing a parallel or making a comparison between two similar situations or concepts, particularly in a structured argument or explanation.
Example: "The first experiment yielded significant results; analogously for the second, we can expect similar outcomes based on the data collected."
Alternatives: "similarly for the second" or "in a similar manner for the second".
Similar(60)
Analogously, for the third summand.
Analogously, for the third term we obtain begin{aligned} I_{3}& leqvarepsilon^{-2} int_{0}^{T}e^{-varepsilon^{-4}w T-tau )}biglVert B_{s}(psi) (tau)bigrVert _{sigma},dtau & leq Cvarepsilon^{-varepsilon^{-4}w T-taurtpsiVert _{sigma }^{-varepsilon^{-4}w T-tau{-4}wT}e^{-varepsilon^{-4}w T-taulon ^{2-6kappa}biglVert
The rest of the proof runs analogously to the first part of this proof.
Analogously to the first equation of (2.2), it follows from (3.1) that (3.3).
Analogously, we can do this for the second term.
Analogously, we simulated the expression values for the second sub-module.
And as the first alliance uses the threat of de feat in nuclear war to justify itself, analogously, the second employs the specter of wide spread famine.
Analogously, for rooms 15 18, the average median exposure level for the second ESL distribution (ESL = 5) (50 mV/m) is 49%% less than for the first ESL distribution (ESL = 1) (99 mV/m).
Analogously, differentiating twice on the second equation of and replacing on the first one, we arrive at (4.5).
Samples were analogously generated separately in the second (SecS) and third season (ThiS) in 2013 and in the first season (FirS) in 2014.
We argue analogously for the conditions (10) and (11).
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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