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The phrase "and correspondingly the density" is correct and usable in written English.
It can be used when discussing a relationship between two variables, indicating that a change in one corresponds to a change in the other.
Example: "As the temperature increases, and correspondingly the density decreases, the material becomes less stable."
Alternatives: "and similarly the density" or "and thus the density".
Exact(2)
In general, the size of droplets showed a gradual increase, and correspondingly, the density of droplets kept decreasing as seen in Figure 4a,b.
For the parameter values used here, the grain temperature profile exhibits a maximum near the wall and, correspondingly, the density profile exhibits a minimum.
Similar(58)
Generally, the self-assembled Au droplets gradually grew larger in terms of the average size, and correspondingly, the average density was consistently decreased with the increased DT as summarized and plotted in Table 1 and Fig. 9.
(111) surface showed the largest size out of the three, and correspondingly, the smallest in the average density, resulting in (100) < (110) < (111) in size and vice versa in density.
In addition, we confirmed in vitro that the combination of plasma treatment and end-point immobilization of heparin exhibited the highest surface density and correspondingly the highest anti-thrombogenic activity of heparin molecules.
Correspondingly, the density of tyrosine hydroxylase-positive fibres in the striatum was decreased to 36% in S100B−/− MPTP-treated mice (compared with saline-treated mice), but to 14% in S100B+/+ MPTP-treated mice (Supplementary Table 1).
The current density of alcohol oxidation very markedly increased and, correspondingly, the onset potential decreased, with increasing chain length, that is, with initially slightly increasing, and then constant, pKa.
However, the electron density is better in chain B than in chain A, and correspondingly, the B-factor values are higher for the ADP/Mg in chain A than chain B (Table 1).
The books, and correspondingly the films, have graduated in seriousness.
Figure 7 b illustrates that in the low D2D density regime (λ d =10−6), even though the ASR increases linearly, the EE almost stays the same as the number of CUEs, and correspondingly the number of BS antennas, increases.
"The Shia swear their allegiance to the Iranian regime and correspondingly the Baath party here".
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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