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The phrase "any important variation of" is correct and usable in written English.
It can be used when discussing different forms or versions of something that hold significance or relevance.
Example: "In our research, we need to consider any important variation of the original theory to ensure comprehensive analysis."
Alternatives: "any significant variation of" or "any notable variation of".
Exact(1)
In 1990, Kircher and colleagues [ 8] reported the value of IVC collapsibility in predicting RAP in patients who breathed quietly and hence did not develop any important variation of intrathoracic pressure.
Similar(59)
Prestressed concrete is an important variation of reinforced concrete.
Our experiments were characterized by an important variation of most parameters dependent on the donor of MSCs.
We describe an important variation of the cytokine response intensity between NK cells from different individuals and demonstrate a correlation with KIR gene content.
Except for CD34, which was consistently expressed on less than 1% of the MSCs in all passages and in all donors, an important variation of the other surface markers could be observed.
Damask is the most important variation of basic satin weave.
An important variation of the Second Empire style was the Napoleon III style, which characterizes buildings constructed during the massive rebuilding of Paris administered by Baron Georges-Eugène Haussmann between 1853 and 1870.
The generated direction at each pixel position, is supposed to represent the most important variation of pixels intensity.
The important variation of the fluorescence emission energy with temperature (−0.9 meV/K) allows simple temperature measurement in squalane.
An important variation of spectral subtraction proposed in[4] in order to alleviate the problem of musical noise is | Ŝ | 2 = | Y | 2 − α | D ̄ | 2, if | Ŝ | 2 > β | D ̄ | 2 β | D ̄ | 2, otherwise (4).
It could be hypothesized that the important variation of grey zone value among centres probably reflects the fact that PPV was measured by different techniques.
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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