This note provides new criteria on a unimodular group and a discrete series representation of formal degree under which any lattice with (resp. ) admits such that is a frame (resp. Riesz sequence). The results apply to all projective discrete series of exponential Lie groups.
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http://dx.doi.org/10.1007/s00013-022-01748-8 | DOI Listing |
Risk Anal
January 2025
School of Management, Beijing Institute of Technology, Beijing, China.
This study explores the risk management challenges associated with safety-critical systems required to execute specific missions. The working component experiences degradation governed by a continuous-time discrete-state Markov chain, whose failure leads to an immediate system breakdown and safety losses. To enhance system survivability, a limited number of identical spares are available for online replacement throughout the mission.
View Article and Find Full Text PDFJ Am Soc Mass Spectrom
January 2025
Department of Chemistry, Washington State University, Pullman, Washington 99164, United States.
Phased structures for lossless ion manipulation offer significant improvements over the scanning second gate method for coupling with ion trap mass analyzers. With an experimental run time of under 1 min for select conditions and an average run time of less than 4 min, this approach significantly reduces experimental time while enhancing the temporal duty cycle. The outlined SLIM system connects to an ion trap mass analyzer via a PCB stacked ring ion guide, which replaces the commercial ion optics and capillary inlet.
View Article and Find Full Text PDFJ Oral Maxillofac Surg
December 2024
Department Head, Department of Orthopaedic Surgery, Xingtai People's Hospital, Xingtai, Hebei, China.
Purpose: Zygomaticomaxillary complex (ZMC) fractures are a prevalent form of craniofacial trauma. However, no universally accepted fixation method has been established to prevent postreduction displacement in ZMC fractures.
Methods: Computerized and additional manual searches of the Medline, Embase, Chinese National Knowledge Infrastructure, and Cochrane Central database for potential studies, published from inception to May 2024, were performed.
The development of China's National Carbon Market has strengthened the inherent link between the carbon market and the broader energy market, providing a potential for cross-market risk transmission resonance. Studying the risk spillover effects between China's National Carbon Market and the crude oil futures market is of significant practical importance, both in terms of carbon market development and carbon risk management. Based on the Maximal Overlap Discrete Wavelet Transform (MODWT), the price series are decomposed across multiple scales, and the risk spillover effects between the carbon market and the crude oil futures market are examined from both the time domain and the frequency domain.
View Article and Find Full Text PDFPLoS One
December 2024
Departamento de Economía y Empresa, Universidad de Almería (UAL), Almería, España.
This paper introduces two new goodness-of-fit tests for the geometric distribution based on discrete adaptations of the Watson W2 and Anderson-Darling A2 statistics, where the probability of success is unknown. Although these tests are widely applied to continuous distributions, their application in discrete models has been relatively unexplored. Our study addresses this need by developing a robust statistical framework specifically for discrete distributions, particularly the geometric distribution.
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