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Another lower bound can be derived replacing the exponential functions of (16) by their equivalent power series ([22], (1.211)) and applying ([22], (3.211)).
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The approach is derived by replacing the insulation layer into an equivalent concrete thickness layer and then undertaking statistical regression analysis on temperature data of modified concrete section.
This architecture is derived by replacing the filtering units by our previously published throughput-optimized ones and by developing a scheduling algorithm suited to the special features of our filtering units.
P7, an analogue of the cell-penetrating peptide (CPP) ppTG20, was derived by replacing Phe and Trp with Arg based on the structure activity relationships of CPPs and antimicrobial peptides (AMPs).
The autocorrelation function can be derived by replacing the received sequence model (3) into (9), leading to.
The parameter ({gamma }_{k,2}^{text { opt)}} ) can be derived by replacing γ k,1 in Equation 6.2 by 6.3.
Remark 46 Notice that analogs of all of the theorems proved in Section 2 can be derived by replacing type I and type II with type A.
In total, the welfare benefits derived from replacing the three airports in question with one joint airport amount to about NOK 4.9 billion [25].
Replacing the set order relation implicitly used in the definition of minmax-robust efficiency, Ide and Köbis [29] presented various other concepts of robustness for multi-objective optimization, derived by replacing the upper-type set relation with another set ordering from the literature.
Therefore by Theorem 4.2 and Theorem 4.3, necessary and sufficient conditions for ( f ( G ) : μ ) and ( μ : f ( G ) ) may be derived by replacing the entries of E and A ˜ by those of the entries of F = E G − 1 ( u, v ) and B = G ( u, v ) A ˜, respectively, where the necessary and sufficient conditions on the matrices F and B are read from the concerning results in the existing literature.
To solve this obstacle, two α-MSH based antimicrobial analogues were derived by replacing Gly-10 in ([Dnal(2′ -7-,Phe12]-MSH- 6 13) with unnatural amino acids 2′ -7-,Phe12]-MSH- 6 13lic acid (Aic) and L-cyclohexylalanine (Cha), respectively.
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