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The phrase "as the density increases" is correct and usable in written English.
It can be used in scientific or technical contexts to describe a relationship where one variable changes in response to an increase in density.
Example: "The pressure of the gas will rise as the density increases, leading to a more compact state."
Alternatives: "with increasing density" or "as density rises".
Exact(24)
The tensile strength and the Young's modulus improved by 67% and 86% respectively as the density increases.
If the neutron-star equation of state is sufficiently stiff (that is, the pressure increases sharply as the density increases), at least some such mergers will leave behind a supramassive or even a stable neutron star that spins rapidly with a strong magnetic field5,6,7,8 (that is, a magnetar).
However, the proportion gradually saturates as the density increases further.
(iv) The Allee effect increases as the density increases.
As the density increases, the conflict graph becomes a higher-degree graph.
f ′ ( N t ) < 0 for N t ∈ [ 0, ∞ ) ; i.e., as the density increases, f decreases continuously.
Similar(36)
Someday, as the density increased, there might be public transportation.
This proportion decreased as the density increased, showing that the strongest functional connections were also the most likely to be associated with a structural connection, though the relationship was only moderately strong for full (Pearson) correlation (Fig. 6a).
The permeability perpendicular to the direction of compression varied in the range of 10−11 to 10−16 m2 as the density increased from 111 to 539 kg m−3.
As mentioned above, the density increases are mainly due to the increase in neutral temperature.
As we go down further the density increases, as you might expect.
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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