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Discover LudwigThe phrase "are derived upon" is not correct in standard written English.
The correct expression would typically be "are derived from."
Example: "The conclusions of the study are derived from extensive research and analysis."
Alternatives: "are based on" or "are obtained from."
Exact(1)
First, the relations of the body velocities before and after collisions are derived upon an instantaneous collision hypothesis.
Similar(59)
First, the regression model was derived, upon removal of one identified nitrosamine outlier, and was able to account for more than 84% of the variance in the experimental activity.
In total, about 81176 unique molecular interactions were derived upon combining these two types of interactions.
Global end-diastolic volume index (GEDI) and systemic vascular resistance index (SVRI) were derived upon thermodilution.
26 A sampling map (see online supplementary figure S1) was created with a hypothetical upstream point from which a site-by-edges matrix is derived, upon which principal component analysis is performed (see online supplementary figure S1 for workflow and supplementary figure S2 for an illustrative example).
Fundamental solutions for two- and three-dimensional linear isotropic size-dependent couple stress elasticity are derived, based upon the decomposition of displacement fields into dilatational and solenoidal components.
We found that many results are derived based upon single-gene sequencing, rather than taking the less biased exome or whole-genome approach [ 50- 52].
The distributions of the sample mean and the sample variance are derived in Appendix 2. Upon the convergence of the algorithm (20), we obtain (hat {mathbf {h}} ), (hat {mathbf {b}}), and (hat {boldsymbol {sigma }}^{mathbf {2}}).
Relations are derived for the adatom activity upon different substrates and its dependence on the supporting electrolyte and the specific adsorption.
But Cucinelli's transformation of Solomeo into a quasi-medieval company town is also an effort to create what he calls, in the subtitle of his self-published autobiography-cum-coffee-table book, "A Humanistic Enterprise in the World of Industry" — a business founded upon principles that are derived from his reading in the classics of ethics, theology, and philosophy.
Transcripts deadenylated at egg maturation and after fertilization that are also decreased upon egg aging, are derived from genes with many different functions (Table S3).
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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