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The phrase "a direction of the" is correct and usable in written English.
It can be used when referring to a specific guideline or instruction related to a particular subject or context.
Example: "The committee provided a direction of the project that all members must follow to ensure consistency."
Alternatives: "a guideline for the" or "an instruction regarding the".
Exact(27)
Two important directed coupling indicators are the directed transfer function (DTF) and the partial directed coherence (PDC), both distinguishing between source and target by indicating a direction of the dependency.
"We could be heading in a direction of the 1% getting a tax break and I think people are very concerned about that," she said.
If thus essentially smaller values of criteria are reached, that it is not desirable on practices for some reasons classical criteria do not define a direction of the further actions.
The cell volume decreases with the Ru substitution for Fe and the shrinkage of the lattice is greater in the c direction than in the a direction of the tetragonal unit cell.
A small-scale internal wave may be modulating initially horizontal Es layer in height and causing a direction of the plasma density gradient to be rotated and aligned with that of the wave propagation vector k.
Concerned with mental processes, or acts, he revived and modernized the scholastic philosophical theory of "intentional existence," or, as he called it, "immanent objectivity"; in psychical phenomena, he held, there is a "direction of the mind to an object" (e.g., one sees something).
Similar(32)
Compound (1) shows an hybrid layered structure, made of alternating inorganic and organic layers along the a-direction of the unit cell.
(a) Directions of the panes in the hexagonal structure.
"This exercise does not mean the N.P.A. is taking a direction of discontinuing the prosecution," he said.
The runway runs at a direction of 02°/20°, the same as Mandurriao Airport.
Meaning, the more clear I am with a direction of a lesson, the better my students understand, learn and retain.
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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