The phrase "above refined" is not correct and does not convey a clear meaning in written English.
It may be intended to refer to something that has been improved or clarified in a previous context, but the wording is awkward and unclear.
Example: "The above refined details provide a clearer understanding of the project requirements."
Alternatives: "previously clarified" or "earlier improved".
It is worth to remark that a v-version of the above refined interpolated inequality has not been given in the literature, and we present it here without a proof since it is immediate from Theorem 4.3.
After estimating the camera motion parameters (e.g., pan, tilt, zoom, rotation), the above refined MV can be further compensated as M V H S = M V H C − Δ H and M V V S = M V V C − Δ V (3).
The DWYG capsules were finally obtained by decompression drying and granulating of the above refined concentrates.
The above approaches refine the existing Wi-Fi RSS fingerprint-based positioning system with the integration of human-centric feedback.
Kim Yu-na won the women's figure-skating title with a blend of technical mastery and, above all, refined artistic sensibility that made it difficult to believe she was a teenager with the weight of South Korea on her bare shoulders.
More recently, Jeremy Waldron (1993, 1999), Thomas Christiano (2008), Christopher Heath Wellman (2005), Anna Stilz (2009), and, arguably, David Estlund (2008; see §4.1, above) have refined and expanded upon Rawls's somewhat vague contention, some of them in ways reminiscent of or even explicitly modeled on Kant's defense of political obligation (see §1.5, above).
The computational study, introduced above, also refined the geometrical orientation of an oligomeric π-bonded vinyl terminated oligoethylene chain; a non-negligible (2 kcal mol−1) stabilisation energy is observed with the second metal site, a pre-requisite for ethyl branching [174].
DO: As described above, avoid refined carbohydrates, too much fat (especially trans fats which cause weight gain), and processed foods.
The initial model prepared from PDB entry 4BLC (see above) was refined to 1.99 Å with an R value of 23.7%.
The same models as described above were refined in CRYSTALS (Version 14.40; Betteridge et al., 2003 ▶) and the Flack parameter estimated via the procedure described by Thompson & Watkin (2011 ▶).
The results of the HMM search were stored in a MySQL database and trees of the superfamily were remade as above to refine subfamily classifications.
