The Set Packing problem is, given a collection of sets $${\mathcal S}$$ over ground set U}$$ , to find maximum that are pairwise disjoint. is among the most fundamental NP-hard optimization problems have been studied extensively in various computational regimes. focus this work on parameterized complexity, Parameterized (PSP): Given $$r \in {\mathbb N}$$ there $$ {\mathcal S}' \subseteq S}: |{\...

Tunable coupling regimes of a silicon microdisk resonator controlled by MEMS (microelectromechanical system) actuation are demonstrated for the first time. By varying the gap spacing between the waveguide and the disk, this microresonator can dynamically operate in either under-, ciritcal or over-coupling regime. The waveguide transmittance is suppressed by 30 dB in critical coupling, and the q...

A modified method based on in situ chemical reduction was developed to prepare mono-dispersed polystyrene/silver (PS/Ag) composite microspheres. In this approach; mono-dispersed PS microspheres were synthesized through dispersion polymerization using poly-vinylpyrrolidone (PVP) as a dispersant at first. Then, poly-dopamine (PDA) was fabricated to functionally modify the surfaces of PS microsphe...

let h be an infinite--dimensional hilbert space and k(h) be the set of all compact operators on h. we will adopt spectral theorem for compact self-adjoint operators, to investigate of higher derivation and higher jordan derivation on k(h) associated with the following cauchy-jencen type functional equation 2f(frac{t+s}{2}+r)=f(t)+f(s)+2f(r) for all t,s,rin k(h).

background: chemical preservation has become an increasingly important practice in modern food technology and herbal medicinal products with the increase in production of processed and convenience products. objective: in the present study, a reversed-phased hplc method for simultaneous determination of the preservatives sodium benzoate (sb) and potassium sorbate (ps) is described. methods: the ...

A first-order expansion of the R-vector space structure on R does not define every compact subset of every Rn if and only if topological and Hausdorff dimension coincide on all closed definable sets. Equivalently, if A ⊆ Rk is closed and the Hausdorff dimension of A exceeds the topological dimension of A, then every compact subset of every Rn can be constructed from A using finitely many boolea...

Compact steep-spectrum (CSS) and peaked-spectrum (PS) radio sources are compact, powerful sources. The multi-frequency observational properties current theories reviewed with emphasis on developments since the earlier review of O’Dea (PASP 110:493–532, https://doi.org/10.1086/316162, 1998). There three main hypotheses for nature PS CSS (1) might be very young galaxies which will evolve into the...

Conjunctive Boolean queries are a fundamental operation in web search engines. These queries can be reduced to the problem of intersecting ordered sets of integers, where each set represents the documents containing one of the query terms. But there is tension between the desire to store the lists effectively, in a compressed form, and the desire to carry out intersection operations efficiently...