The phrase "as previously derived" is correct and usable in written English.
It can be used when referring back to a conclusion or result that was established earlier in a discussion or analysis.
Example: "The final equation can be simplified as previously derived in the earlier section of this paper."
Alternatives: "as established earlier" or "as determined before".
Aside from the last term, the parameters in Table 3 are essentially the same as previously derived (16).
Finally, the equal-variance one-tailed t-test was applied to the two peptide data sets, in order to assess whether the mean time-integrated activity for DOTATOC and DOTATATE was significantly different, despite the interpatient variability, as previously derived in an intrapatient study of 7 patients [ 4].
This is as well valid for the previously derived global maximum with 350 nm NW diameter at 500 nm pitch.
Nevertheless for biased estimates as such, the CRBs previously derived would not be immediately applicable, and biased CRBs could be derived instead [16].
Using bounds on homozygosity that we have previously derived as functions of M, we describe strict bounds on FST in terms of the homozygosity of the total population, finding that the mean maximum FST given this homozygosity is 1 − ln 2 ≈ 0.3069.
These ingredients yield a clone size distribution different from those previously derived [ 41, 42], as described in more detail below.
The starting complex structures were constructed and minimized as described previously deriving from PDB: 2QKI.
To further validate the broad applicability of this technique, we examined an additional independent tumour cohort with matching expression subgrouping data (derived as previously described [ 8]), for which the 450k arrays were run in an entirely separate facility (Toronto cohort, n = 60).
The DNA was labeled with digoxigenin-11-dUTP (Roche Molecular Biochemicals, Indianapolis, IN), and hybridization was performed essentially as previously described [31] on metaphase chromosomes derived from early passage mouse embryonic fibroblasts.
We measured ambient levels of PM2.5, BC, ultrafine particles (UFP), and sulfates (SO42–) continuously at the Harvard School of Public Health stationary ambient monitoring site and derived daily averages, as previously described (Kang et al. 2010; Zanobetti and Schwartz 2006).
Thus, the sorbitol modified castor oil based hyperbranched epoxy thermosets are found to be superior in toughness, biodegradability, elongation etc. compared to a linear epoxy resin without sorbitol as well as previously reported thermosets derived from bio based materials like vegetable oil, starch and glycerol.
