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In the present work, we performed a systematic search of identical reverse octapeptides in the sequences of the Protein Data Bank (PDB) [16] to explore the structural and functional features of the protein fragments in reversed form.
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The search process results in a reversed form of the octapeptide which occurs in unrelated proteins.
For example, adaptive scalarizing methods in [44, 45, 46] change the aggregation function during the MOEA, the Tchebycheff method is used in a reversed form for a convex PF [47], and the PBI method is inverted based on a nadir point [48].
One of the best-known traits, neuroticism (N), is conceptualized as a factor-analytically derived, basic personality trait related to negative affectivity such as anxiety and depression (or in its reversed form: emotional stability).
The results from our analysis imply that protein fragments of eight residues of a given protein and their reversed form in another unrelated protein are not very abundant.
This is just an reversed form of inequality (2.6).
where x(−n) and X(−n) are the reversed form of x(n) and X(n).
Another proof can be done by just using reversed form of suitable generalizations of Beckenbach-Dresher's inequality with (p=alpha/ (alpha-beta) ) and letting (alpha,betarightarrow 0) in the corresponding generalized Gini-means (G alpha,beta)).
Our second main result is the following h-integral analogue of the reversed form of (1.1) for (0< p<1).
Photos showing the left sides of faces were rated more "pleasant" than those showing right sides--no matter whether the portraits were shown as taken originally or in mirror-reversed form.
A great number of examples have been presented in the literature but most such results can also be derived from Theorem 5 for (1leq preversed forms from Theorem 7 for (0< p<1).
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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