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A variational optimization scheme for obtaining sharp bounds is presented.
A cascaded quadruplet (CQ) design is used to produce a pair of attenuation poles for obtaining sharp cutoff characteristics.
Even more importantly, we formulate general routes for compositional design and obtaining sharp interfaces in different binary and ternary solid alloys.
The theory of multiple Dirichlet series (Dirichlet series in several complex variables) introduced in 1980's is now emerging as an important tool in obtaining sharp growth estimates for zeta and L-functions, an important classical problem in number theory with applications to algebraic geometry.
In this paper, we present a method for obtaining sharp interfaces in two-phase incompressible flows by an anti-diffusion correction, that is applicable in a straight-forward fashion for the improvement of two-phase flow solution schemes typically employed in practical applications.
We apply these results to the study of the spaces Ap consisting of all entire functions Φ satisfying ∝ ¦Φ z)¦pe−2π¦z¦2h dμh < ∞ obtaining sharp bounds for some associated operators and proving denseness of analytic polynomials in Ap for 1 ⩽ p < ∞.
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Hydrogen gas was adopted to perform etching reaction for obtaining sharper DLC surface.
The optimization results show that there is a significant improvement on obtaining sharper focal spot with this new type of filter.
The main approach is based on applying Young's inequality which will help us in obtaining sharper conditions.
We obtain sharp gradient bounds for perturbed diffusion semigroups.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com