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The phrase "a direction associated" is correct and usable in written English.
It can be used when referring to a specific direction or guideline that is linked to a particular context or subject.
Example: "The report outlines a direction associated with the company's future growth strategy."
Alternatives: "a related direction" or "a connected guideline".
Exact(4)
Also, G is directed if the edges have a direction associated with them.
PCA is based on the spectral decomposition of the variance-covariance matrix of the data and produces a set of orthogonal eigenvectors, each identifying a direction, associated with eigenvalues listed in decreasing order.
Several studies have found that endurance exercise can favorably improve blood lipid profiles in a direction associated with a lower risk of cardiovascular disease risk (↓ LDL, ↑ HDL) [64], while others have found that up to six months of endurance training had no effect on LDL or total cholesterol values [65], [66].
At the chromatin level, histone tail modifications of the Pdx1, Ins1 (insulin 1) and Ins2 (insulin 2) gene promoters are shifted in a direction associated with gene activity, and the level of DNA CpG methylation is reduced at the Ins1 promoter.
Similar(56)
Miyazawa [35] found that early events triggered by the 2011 Mw 9.0 Tohoku earthquake systematically propagated over Japan in a southwestern direction, associated with the strong seismic waves from the source.
Here, subjects typically develop a response bias in the direction associated with a large reward [ 7].
A monopole resonance, however, vibrates in all directions associated with a compressive or expansive motion which functions like the change of volume of Helmholtz resonator and is thus related to the effective bulk modulus [37, 39, 40].
Is the plus end direction associated with a ∼6 pN force (this might be suggestive of a kinesin, but would not rule out a dynein or multiple dyneins; it would rule out diffusion)?
A repeated measures ANOVA on RT showed that there was a highly significant effect of the factor Reward, F 1,7) = 161.83, MSE = 4996, p <.001, with faster RTs in the direction associated with a large reward (340 ms) than in the direction associated with a small reward (658 ms).
As the thickness and width of exfoliated Te approaches the single atom chain limit, we expect a cross-over in the crystal direction associated with maximum Raman scattering because isolated Te chains inside nanopores have maximum Raman intensity for polarization parallel to the c-axis [48].
The sharp changes in wind direction associated with downdrafts near the ground are a threat to aircraft during landing and takeoff.
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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