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The phrase "and the variation for" is correct and usable in written English.
It can be used when discussing different forms or versions of something, often in a mathematical, scientific, or analytical context.
Example: "The study examined the original formula and the variation for different environmental conditions."
Alternatives: "and the alternative for" or "and the modification for".
Exact(2)
Moreover, we also obtain the structure of the variation for (y,z) and the variation for x.
When the signal density for each single band was analysed repeatedly from the same sample the coefficients of variation exceeded 10% and the variation for the glycoform ratio of the diglycosylated band: monoglycosylated band was 26% (M. Stack, unpublished data).
Similar(58)
Despite the relatively high heritability of the two traits measured, the QTL model only explained 54% and 30% of the variation for FT and PH, respectively.
This third phase, which lasted till 1932, produced an unfinished opera and the "Variations for Orchestra".
The Symphony has an Apollonian benevolence worthy of Satie; the Concerto for Nine Instruments and the Variations for Orchestra have drama and excitement to spare.
Along with the First String Quartet and the Variations for Orchestra, this was Elliott's most ambitious work to date, calling for 2 orchestras of 6 musicians each, and 4 percussionists with 11 instruments each.
Our multifactorial analysis explained 57.89 % and 56.97 % of the variation for MWD and SMWD, respectively.
His final program of the season, in March, is split between Mozart (the Piano Concerto No. 23 and the "Jupiter" Symphony) and Schoenberg (the Variations for Orchestra and the Piano Concerto), with Maurizio Pollini as the soloist.
For UUN both the variation within and between farms was large, whereas the variation for pH was small.
Individuals and the variation needed for high species diversity.
Individuals and the variation needed for high species diversity in forest trees.
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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