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Overheating in DSF can be prevented by using properties of wind pressure.
By using properties of the subdifferentials of involved functions, we introduce some new notions of constraint qualifications.
The safety margin and numerical prediction accuracy could be improved further by using properties of specimens extracted from seal.
By using properties of the -proximal mapping of with respect to, a generalized mixed equilibrium problem with perturbation (for short, GMEPP) is introduced and studied in Banach space.
The frequency equation is obtained by using properties of the Green's functions corresponding to the uniform segments of the column.
The frequency equation is obtained by using properties of the Green's functions corresponding to uniform segments of the beam.
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Then, by using property (2.2) of the metric projection, we have 〈 x m + 1 − y m, x m + 1 − p 〉 ≤ 0. (3.13).
Since (3.5) holds and d x2n, x2n+1) → d(A, B), by using property UC* of (A, B), we have {x2n} is a Cauchy sequence.
Now, by using the properties of the measure of weak noncompactness and properties of T, we have that ω { T ρ ( S ) } ≤ ω { T ( S ) } < ω { S }, as claimed, that is, T ρ is a ω-condensing.
By using the properties of the epigraph of the conjugate functions, the optimality conditions and strong duality of are obtained.
By using the properties of the epigraph of the conjugate functions, we give some new constraint qualifications, which characterizes completely the strong duality and the stable strong duality.
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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