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On the directional asymptotic approach in optimization theory.
Math Program
July 2024
Department of Mathematics and Computer Science, Philipps-Universität Marburg, 35032 Marburg, Germany.
As a starting point of our research, we show that, for a fixed order , each local minimizer of a rather general nonsmooth optimization problem in Euclidean spaces is either M-stationary in the classical sense (corresponding to stationarity of order 1), satisfies stationarity conditions in terms of a coderivative construction of order , or is asymptotically stationary with respect to a critical direction as well as order in a certain sense. By ruling out the latter case with a constraint qualification not stronger than directional metric subregularity, we end up with new necessary optimality conditions comprising a mixture of limiting variational tools of orders 1 and . These abstract findings are carved out for the broad class of geometric constraints and , and visualized by examples from complementarity-constrained and nonlinear semidefinite optimization.
View Article and Find Full Text PDFAssociation of chronic stress during studies with depressive symptoms 10 years later.
Sci Rep
January 2025
Institute and Clinic for Occupational, Social and Environmental Medicine, LMU University Hospital, LMU Munich, Ziemssenstr. 5, 80336, Munich, Germany.
The long-tern implications of stress during university for individuals' mental health are not well understood so far. Hence, we aimed to examine the potential effect of stress while studying at university on depression in later life. We analysed data from two waves of the longitudinal Study on Occupational Allergy Risks.
View Article and Find Full Text PDFAn activity concentration-based proposal for radon management in workplaces involving NORM in Canada.
Radiat Environ Biophys
December 2024
Radiation Protection Bureau, Health Canada, 775 Brookfield Road, Ottawa, ON, K1A 1C1, Canada.
The Canadian Guidelines for the Management of Naturally Occurring Radioactive Materials (NORM) have been developed to manage radiation doses received in workplaces involving NORM, such as mineral extraction and processing, oil and gas production, metal recycling or water treatment facilities. This management strategy works well for most naturally occurring radioactive materials in workplaces, with the exception of radon. Radon is a naturally occurring radioactive gas generated by the decay of uranium-bearing minerals in rocks and soils.
View Article and Find Full Text PDFThe role of exosomal hsa-miR-125b-5p and hsa-miR-320c as non-invasive biomarkers in high-radon areas of Kazakhstan.
Biomarkers
January 2025
Department of General Biology and Genomics, Institute of Cell Biology and Biotechnology, L.N. Gumilyov Eurasian National University, Astana 010008, Kazakhstan.
Background: Radon, a radioactive gas, is a significant risk factor for lung cancer, especially in non-smokers. This study examines the expression of exosomal microRNAs (miRNAs) as potential biomarkers for radon-induced effects.
Methods: A total of 109 participants from high- and low-radon areas in Kazakhstan were included.
Preparation and radon exhalation characteristics of fracture granite similar materials in Beishan underground research laboratory.
J Hazard Mater
January 2025
Department of Nuclear Science and Technology, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China.
The mechanism of radon exhalation from surrounding rock fracture has important guiding significance for radon prevention and control in underground research laboratories. The optimal ratio scheme of similar materials in the granite surrounding rock of Beishan underground laboratory was obtained by orthogonal test. The radon exhalation characteristics of fractured rock samples under dry and saturated conditions were obtained by using 10 standard joint roughness coefficient (JRC) curves.
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