In this article, we present characterizations of the concavity property minimal $$L^2$$ integrals degenerating to linearity in case products analytic subsets on open Riemann surfaces. As applications, obtain holding equality optimal jets extension problem from surfaces, which implies product versions parts Suita conjecture and extended conjecture, a Ohsawa for

The paper describes the results of JSM reasoning applied to COVID-19 testees’ data formed from their symptoms. We construct graphs objects and hypotheses consider stable sets vertices. also find all minimal subsets those testees who have recovered collectively groups symptoms that are possible signs disease, as well subgroups such have.

We performed small-angle neutron scattering and neutron spin echo experiments on a ternary microemulsion composed of ionic surfactant AOT, water, and decane. Thermal fluctuations of monolayers have been investigated as a function of temperature and pressure. The amphiphilic monolayers become more flexible with increasing temperature and more rigid with increasing pressure. These results are con...

The fluorescence characteristics of norfloxacin (NFLX) were studied in reversed micelles which formed with sodium bis(2-ethylhexyl) sulfosuccinate (AOT)-water-octane. The influences of the environmental factors, such as the water content, AOT concentration and pH, on the fluorescence of NFLX were investigated. A novel spectrofluorimetric method for the direct determination of NFLX is proposed b...

We address the so-called subset selection problem in multiple linear regression where the objective is to select a minimal subset of predictor variables without sacrificing any explanatory power. A new mathematical programming model is proposed for this purpose. A parametric solution of this model yields a number of efficient subsets. To obtain this solution, we repeatedly use an exact or one o...

We consider the following problem: Given a matrix A, find minimal subsets of columns of A with cardinality no larger than a given bound that are linear dependent or nearly so. This problem arises in various forms in optimization, electrical engineering, and statistics. In its full generality, the problem is known to be NP-complete. We present a Monte Carlo method that finds such subsets with hi...

Cloud computing has drawn much attention from research and industry in recent years. Plenty of enterprises and individuals are outsourcing their data to cloud servers. As those data may contain sensitive information, it should be encrypted before outsourced to cloud servers. In order to ensure that only authorized users can search and further access the encrypted data, two important capabilitie...

peripheral blood t lymphocytes and their subsets were studied in 31 patients with beta thalassemia major (age 2-12years) and compared with 14 age-arid sex-matched healthy controls. three monoclonal antibodies (anti-cd3, anti cd-f, unti-cds) were simultaneously applied for detection of th (cd3-, cd4^), tsk (cd3+, cd8+) and th/ts ratio by flow-cytometry respectively. the results of this study sho...

The set disjointness problem features k communicating parties and k subsets S1, S2, . . . , Sk ⊆ {1, 2, . . . , n}. No single party knows all k subsets, and the objective is to determine with minimal communication whether the k subsets have nonempty intersection. The important special case k = 2 corresponds to two parties trying to determine whether their respective sets intersect. The study of...