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The phrase "as a function of the principal" is correct and usable in written English.
It can be used in contexts related to mathematics, finance, or any situation where a variable is dependent on the principal amount or main factor.
Example: "The interest earned on the investment is calculated as a function of the principal amount deposited."
Alternatives: "based on the principal" or "in relation to the principal".
Exact(1)
A screen plot (Fig. 5a, b) shows the eigen values sorted from large to small as a function of the principal component number.
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It is based on the evolution of the volume fraction of broken fibres as a function of the maximum principal stress in the fibre family.
In Fig. 6, the cross-PCA score as a function of the number of principal components have been plotted.
To statistically analyze the muscle performance as a function of the various treatments used in this study, we used Principal Component Analysis (PCA).
They expressed the matrix representing all element correlations as a function of its principal components, and corresponding weights for each component.
The evolution of the fraction of coalesced cavities and the average cavity size as a function of strain were the principal model predictions.
To understand the relationship between the two plant varieties as a function of water stress, multivariate analysis and principal component analysis (PCA) were performed.
This has been postulated to have a function as the principal receptor for HA.
Open image in new window Fig. 4 Variation of effective principal stresses around a vertical wellbore as a function of azimuth.
Principal component analysis was applied to the simulated gamma spectra to investigate pattern variations as a function of acid concentration, burnup, and cooling time.
Principal component analysis (PCA) was applied to the simulated gamma spectra to investigate pattern variations as a function of acid concentration, burnup and cooling time.
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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