The phrase "as analogously" is not correct and does not work in written English.
The term "analogously" is an adverb and should not be preceded by "as" in this context.
Example: "The two situations can be compared analogously, highlighting their similarities."
Alternatives: "in a similar manner" or "likewise."
The data reported here indicated that neither the Ni O distances nor the O1 Ni O2 angles correlated with the size of the siloxane rings as analogously expressed in our previous study of Cr silicalite-2 [79].
Further, the symbol P ( m ) [ j v ], as analogously introduced in the previous section, represents the set of pilot subcarriers within the v th pilot OFDM symbol that is used by the m th transmit antenna.
As analogously conjectured for the paralogous gene Asr1, rapidly acquired new Asr2 epialleles in somatic cells due to desiccation might be stable enough and heritable through the germ line across generations, thereby efficiently contributing to constitutive, adaptive gene expression during the evolution of desiccation-tolerant populations or species.
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 〉′.
Examples of iThisse is wave propagathen studies are given.
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.
We proceed analogously as in [13], where the convection terms are approximated with the aid of the following numerical flux H through node x ∈ E h in the positive direction (i.e., outer normal is equal to one): H ( u ( x − ), u ( x + ) ) = { f ( u ( x − ) ) = u ( x − ) + ε 2 u 2 ( x − ), if A > 0, f ( u ( x + ) ) = u ( x + ) + ε 2 u 2 ( x + ), if A ≤ 0, (21).
