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"the physical importance" is correct and usable in written English
You can use it when referring to the importance of physical things such as exercise, diet, and overall health. For example, you could say: "It is important to maintain a healthy lifestyle for both physical and mental wellbeing; the physical importance of good nutrition and regular exercise should not be underestimated."
Exact(3)
The physical importance of hair is often very much underestimated.
The physical importance of the realistic 3D CTF is demonstrated with experimental data.
Note that opposed to MO refocusing, the physical importance of digital refocusing is related to the camera's distance from the system's image plane.
Similar(57)
We recap the algorithms of physical importance that underly the system requirements.
Thus, our results indicate an physical importance of the ATM dimer proteins, in that the dimer leads to the high value of the Hill coefficient which emerges bistability of the steady state concentration of ATM*.
Another example of physical importance is the following fourth order ODE: begin{aligned} u^{(4)}(x -lambda u(x -lambda0, end{aligned} (1.3) subject to the conditions (1.2).
Particular emphasis is placed on the physical basis, relative importance, and thermodynamics of turbulent Comptonization.
Solutions have been graphically simulated for understanding the physical aspects and importance of the method.
The physical and geometrical importance of the fractional integral containing the complex and real conjugate power-law exponent has been proposed.
Even with the changing publishing environment, some things stay the same: the importance of the physical, single-author monograph, and the importance of academic patronage.
The physical origin for the importance of α on the flow distribution is analyzed.
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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