In this paper, we provide a new scheme for approximating the weakly efficient solution set class of vector optimization problems with rational objectives over feasible defined by finitely many polynomial inequalities. More precisely, present procedure to obtain sequence explicit approximations problem in question. Each approximation is intersection sublevel single and set. To end, make use achi...

The incidence of occult cervical metastasis in oral cavity cancer, even in early stages, is significant, necessitating elective treatment of the neck in a majority of cases. There is no method of imaging or other examination that will detect microscopic foci of metastatic disease in cervical lymph nodes. Immunohistochemical and molecular analysis of neck specimens reveals the incidence of occul...

In order to study the space–time evolution law and induced impact mechanism of overburden breaking in tangential horizontal sublevel during fully mechanized mining extra-thick steep coal seams, we took Yaojie No. 3 mine as an example. Through establishment mechanical model, structural characteristics hinged rock beams after structure instability were analyzed, static dynamic load conditions tha...

The homotopy interleaving distance, a distance between persistent spaces, was introduced by Blumberg and Lesnick shown to be universal, in the sense that it is largest homotopy-invariant for which sublevel-set filtrations of close-by real-valued functions are close-by. There other ways constructing distances, but not much known about relationships these choices. We show natural distances differ...

X-/Q-band electron paramagnetic resonance (EPR) and hyperfine sublevel correlation (HYSCORE) spectroscopies have been employed, in conjunction with density functional theory (DFT) modeling, to determine the location of Cr5+ions SAPO-5 zeotype materials. The interaction unpaired Cr5+ species 27Al could be resolved, allowing for first detailed structural analysis ions SAPO interpretation experime...

We find an l = 2 shape resonance fingerprinted in the angular distribution of cold (∼1 K) Δj rotationally inelastic collision D2 with He a single supersonic expansion. The Stark-induced adiabatic Raman passage is used to prepare (v 2, j 2) rovibrational level control spatial bond axis molecule by magnetic sublevel selection. show that rate D2–D2 relaxation nearly two orders magnitude weaker tha...

Stope design optimisation defines three-dimensional extraction volumes aiming to maximise cashflows, subject geotechnical and operational constraints. Available stope layout methods are deterministic, failing account for grade uncertainty variability that affect locations sizes, as well value. A two-stage stochastic integer programming model is proposed, integrating quantified through geostatis...

Sublevel caving mining causes surface deformation in three distinct zones parallel to the extracted deposit. Most of published research is focused on extent caved and fracture zones. The largest, continuous zone and, thus, influence mine its surroundings not yet fully documented. This study aimed at assessing caused by a steep iron ore deposit Norway. For this purpose, an innovative combination...