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WEIgHTED CONE-VOLUME MEASURES OF PSEUDO-CONES

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Acta Mathematica Scientia 2025年第1期45卷 40-51页

作者： Rolf schneider Mathematisches Institut Albert–Ludwigs-UniversitätD-79104Freiburg i.Br.Germany

A pseudo-cone inℝn is a nonempty closed convex set K not containing the origin and such thatλK⊆K for allλ≥*** is called a C-pseudo-cone if C is its recession cone,where C is a pointed closed convex cone with interior *** cone-volume measure of a pseudo-cone can be defined similarly as for convex bodies,but it may be *** proving a necessary condition for cone-volume measures of C-pseudo-cones,we introduce suitable weights for cone-volume measures,yielding finite *** we provide a necessary and sufficient condition for a Borel measure on the unit sphere to be the weighted cone-volume measure of some C-pseudo-cone.

关键词： pseudo-cone surface area measure cone-volume measure weighting Minkowski type problem

Proton pump inhibitors and all-cause mortality risk among cancer patients

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World Journal of Clinical Oncology 2025年第1期16卷 34-42页

作者： Arunkumar Krishnan Carolin Victoria schneider Declan Walsh Department of Supportive Oncology Atrium Health Levine CancerCharlotteNC 28204United States Department of Medicine Section of Hematology and OncologyWake Forest University School of MedicineWinston-SalemNC 27101United States Department of Medicine Ⅲ GastroenterologyMetabolic Diseasesand Intensive CareUniversity Hospital RWTH AachenAachen 52074Germany

BACKgROUND Proton pump inhibitors(PPIs)are widely used,including among cancer patients,to manage gastroesophageal reflux and other gastric acid-related *** evidence suggests associations between long-term PPI use and higher risks for various adverse health outcomes,including greater *** To investigate the association between PPI use and all-cause mortality among cancer patients by a comprehensive analysis after adjustment for various confounders and a robust methodological approach to minimize *** This retrospective cohort study used data from the TriNetX research network,with electronic health records from multiple healthcare *** study employed a new-user,active comparator design,which compared newly treated PPI users with non-users and newly treated histamine2 receptor antagonists(H2RA)users among adult cancer *** prescribed PPIs(esomeprazole,lansoprazole,omeprazole,pantoprazole,or rabeprazole)users were compared to non-users or newly prescribed H2RAs(cimetidine,famotidine,nizatidine,or ranitidine)*** primary outcome was all-cause *** patient in the main group was matched to a patient in the control group using 1:1 propensity score matching to reduce confounding *** Cox regression models were used to estimate hazard ratios(HRs)and 95% confidence interval(CI).RESULTS During the follow-up period(median 5.4±1.8 years for PPI users and 6.5±1.0 years for non-users),PPI users demonstrated a higher all-cause mortality rate than non-users after 1 year,2 years,and at the end of follow up(HRs:2.34-2.72).Compared with H2RA users,PPI users demonstrated a higher rate of all-cause mortality HR:1.51(95%CI:1.41-1.69).Similar results were observed across sensitivity analyses by excluding deaths from the first 9 months and 1-year post-exposure,confirming the robustness of these *** a sensitivity analysis,we analyzed all-cause mortality outcomes between former PPI users and individual

关键词： All-cause mortality Cancer Histamine-2 receptor antagonists Mortality Malignancy Proton pump inhibitors Carcinoma Outcome

An SPH Framework for Earthquake-Induced Liquefaction Hazard Assessment of geotechnical Structures

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Computer Modeling in Engineering & Sciences 2025年第1期142卷 251-277页

作者： Sourabh Mhaski g.V.Ramana Department of Civil Engineering Indian Institute of Technology DelhiNew Delhi110016India

Earthquake-induced soil liquefaction poses significant risks to the stability of geotechnical structures *** understanding of the liquefaction triggering,and the post-failure large deformation behaviour is essential for designing resilient *** present study develops a Smoothed Particle Hydrodynamics(SPH)framework for earthquake-induced liquefaction hazard assessment of geotechnical *** coupled flowdeformation behaviour of soils subjected to cyclic loading is described using the PM4Sand model implemented in a three-phase,single-layer SPH framework.A staggered discretisation scheme based on the stress particle SPH approach is adopted to minimise numerical inaccuracies caused by zero-energy modes and tensile ***,non-reflecting boundary conditions for seismic analysis of semi-infinite soil domains using the SPH method are *** numerical framework is employed for the analysis of cyclic direct simple shear test,seismic analysis of a level ground site,and liquefaction-induced failure of the Lower San Fernando *** agreement for liquefaction triggering and post-failure behaviour demonstrates that the SPH framework can be utilised to assess the effect of seismic loading on field-scale geotechnical *** present study also serves as the basis for future advancements of the SPH method for applications related to earthquake geotechnical engineering.

关键词： Earthquake seismic liquefaction stress particle PM4Sand smoothed particle hydrodynamics(SPH)

Projective Hilbert modules and sequential approximations

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Science China Mathematics 2025年第1期68卷 137-168页

作者： Lawrence g.Brown Huaxin Lin Department of Mathematics Purdue UniversityWest LafayetteIN 47907-2067USA Department of Mathematics East China Normal UniversityShanghai 200062China Department of Mathematics University of OregonEugeneOR 97405USA

We show that when A is a separable C^(*)-algebra,every countably generated Hilbert A-module is projective(with bounded module maps as morphisms).We also study the approximate extensions of bounded module *** the case where A is aσ-unital simple C^(*)-algebra with strict comparison,and every strictly positive lower semicontinuous affine function on quasitraces can be realized as the rank of an element in the Cuntz semigroup,we show that the Cuntz semigroup is equivalent to unitarily equivalent classes of countably generated Hilbert A-modules if and only if A has stable rank one.

关键词： projective Hilbert modules simple C^(*)-algebras sequential approximations

On Sawada-Kotera and Kaup-Kuperschmidt integrable systems

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Communications in Theoretical Physics 2025年第2期77卷 23-31页

作者： Metin gürses Asl| Pekcan Department of Mathematics Faculty of Science Bilkent University Department of Mathematics Faculty of Science Hacettepe University

To obtain new integrable nonlinear differential equations there are some well-known methods such as Lax equations with different Lax representations. There are also some other methods that are based on integrable scalar nonlinear partial differential equations. We show that some systems of integrable equations published recently are the M2-extension of integrable such scalar equations. For illustration, we give Korteweg–de Vries, Kaup-Kupershmidt, and SawadaKotera equations as examples. By the use of such an extension of integrable scalar equations, we obtain some new integrable systems with recursion operators. We also give the soliton solutions of the systems and integrable standard nonlocal and shifted nonlocal reductions of these systems.

关键词： recursion operator nonlocal reductions Hirota bilinear form soliton solutions .M2-extension recursion operator nonlocal reductions Hirota bilinear form soliton solutions

Stepping up after spinal cord injury:negotiating an obstacle during walking

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Neural Regeneration Research 2025年第7期20卷 1919-1929页

作者： Alain Frigon Charly g.Lecomte Department of Pharmacology-Physiology Faculty of Medicine and Health SciencesUniversitéde SherbrookeCentre de recherche du Centre Hospitalier Universitaire de SherbrookeSherbrookeQCCanada

Every day walking consists of frequent voluntary modifications in the gait pattern to negotiate *** spinal cord injury,stepping over an obstacle becomes *** over an obstacle requires sensorimotor transformations in several structures of the brain,including the parietal cortex,premotor cortex,and motor *** information and planning are transformed into motor commands,which are sent from the motor cortex to spinal neuronal circuits to alter limb trajectory,coordinate the limbs,and maintain *** spinal cord injury,bidirectional communication between the brain and spinal cord is disrupted and animals,including humans,fail to voluntarily modify limb trajectory to step over an ***,in this review,we discuss the neuromechanical control of stepping over an obstacle,why it fails after spinal cord injury,and how it recovers to a certain extent.

关键词： biomechanics locomotion neurophysiology obstacle negotiation spinal cord injury

In situ spontaneous emission control of MoSe2-WSe2 interlayer excitons with high quantum yield

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Photonics Research 2025年第1期13卷 210-224页

作者： BO HAN CHIRAg C.PALEKAR FREDERIK LOHOF SVEN STEPHAN VICTOR N.MITRYAKHIN JENS-CHRISTIAN DRAWER ALEXANDER STEINHOFF LUKAS LACKNER MARTIN SILIES BáRBARA ROSA MARTIN ESMANN FALK EILENBERgER CHRISTOPHER gIES STEPHAN REITZENSTEIN CHRISTIAN schneider Institut für Physik Fakult?t VCarl von Ossietzky Universit?t Oldenburg Institut für Festk?rperphysik Technische Universit?t Berlin Institute for Theoretical Physics and Bremen Center for Computational Material Science Universit?t Bremen Institute for Lasers and Optics Hochschule Emden/Leer Fraunhofer-Institute for Applied Optics and Precision Engineering IOF Institute of Applied Physics Abbe Center of PhotonicsFriedrich Schiller Universit?t Jena Max Planck School of Photonics

Optical resonators are a powerful platform to control the spontaneous emission dynamics of excitons in solidstate nanostructures. We study a MoSe2-WSe2heterostructure that is integrated in a cryogenic open optical microcavity to gain insights into fundamental optical properties of the emergent interlayer excitons. First, we utilize a low-quality-factor planar open cavity and investigate the modification of the excitonic lifetime as on-and offresonance conditions are met with consecutive longitudinal modes.

关键词： Cavity quantum electrodynamics Nanostructures Optical properties Optical resonators Quantum fluctuations Zeeman effect

ON THE gAUSSIAN KINEMATIC FORMULA OF *** AND ***

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Acta Mathematica Scientia 2025年第1期45卷 200-214页

作者： Joseph H.g.Fu Department of Mathematics University of GeorgiaAthensGA30602USA

We apply methods of algebraic integral geometry to prove a special case of the gaussian kinematic formula of *** idea,suggested already by Adler and Taylor,is to view the gKF as the limit of spherical kinematic formul... 详细信息

关键词： integral geometry kinematic formula probability density gaussian density

Damage analysis caused by ^(60)Co ions in functionally graded materials

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Defence Technology(防务技术) 2025年第2期44卷 248-256页

作者： Zübeyde Özkan Ugur gökmen Sema Bilge Ocak Department of Advanced Technologies Graduate School of Natural and Applied SciencesGazi UniversityAnkara06560Turkiye Department of Metallurgical and Materials Engineering Faculty of TechnologyGazi UniversityAnkara 06560Turkiye Basic and Engineering Sciences Central Laboratory Application and Research Center Gazi UniversityAnkara 06560Turkiye

Functionally graded composite/hybrid materials(FgCM/FgHCM)were produced by adding B_(4)C,TiO_(2),and B_(4)C+TiO_(2)ceramic materials at various ratios(0-50%)into the AA6082 *** analysis of the damage caused by^(60) ions'(1.173-1.1332 MeV)on the material was examined using the SRIM/TRIM Monte Carlo simulation *** the simulation,the following data regarding the atoms of the target materials were obtained:ion distribution,target ionization,total displacements,surface binding energy,lattice binding energy,and displacement *** the studied four materials,the one with the highest ion range value was found to be AA6082 with ***_(2)was found to be the reinforcement material that reduced the ion range the most in the *** to its high binding energy,B_(4)C reinforced AA6082+(0-50%)B_(4)C FgCM was found to have the least vacancy with 4782/ion.

关键词： SRIM/TRIM Damage analysis AA6082 ^(60)Co ion