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It can be proved analogously as in [22, Theorem 4].
The condition (4) can be proved analogously as for the condition (3).
A more general case (e.g., when ω is a function of the time t) can be treated analogously as in Ref. [18] see Lemma 2.6.
By convexity of the modular I φ, ω, Lemma 1.1 can be proved analogously as in the case of Orlicz spaces (cf. also [43] for considering a more general case).
Second, if the point t 0 is left-scattered and right-dense, i.e., ρ ( t 0 ) < t 0 = σ ( t 0 ), we can proceed analogously as in the case before.
□ The proof works analogously as before.
□ Proof of Theorem 4.4 for open Γ ⫋ ∂ Ω The proof works analogously as before.
Candidate partial mappings f T,〈 e, d 〉 for any pair 〈 e, d〉 are obtained analogously, as well as candidate partial trees G T,〈 e, d 〉′.
(2352) For more-precise correlations, eqs 60 and 61 must be processed analogously as was done for the derivation of model-based QS(T ARs in section.
(Analogously, as you probably know, an attorney is not allowed to aid a client in the commission of a crime).
In comparing MI to traditional psychological view of intelligence, one might find it useful to think of them analogously as if they were computers.
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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