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Fixed Subgroups are not Compressed in Direct Products of Surface Groups

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Chinese Annals of mathematics,Series B 2024年第5期 703-708页

作者： Qiang ZHANG Jianchun WU Fanling GU School of mathematics and Statistics Xi'an Jiaotong University Department of mathematics Soochow University School of mathematics and Statistics Xi'an Jiaotong University School of general education Guangzhou College of Technology and Business

By constructing counterexamples, the authors show that the fixed subgroups are not compressed in direct products of free and surface groups, and hence negate a conjecture in [Zhang, Q., Ventura, E. and J. Wu, Fixed su...

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Gorenstein projective modules over rings of Morita contexts

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Science China mathematics 2024年第11期67卷 2453-2484页

作者： Qianqian Guo Changchang Xi School of Mathematical Sciences Capital Normal University School of Mathematical Sciences Laboratory of Mathematics and Complex Systems(Ministry of Education of China)Beijing Normal University School of mathematics and Statistics Shaanxi Normal University

Under semi-weak and weak compatibility conditions of bimodules,we establish necessary and sufficient conditions of Gorenstein-projective modules over rings of Morita contexts with one bimodule homomorphism *** extends greatly the results on triangular matrix Artin algebras and on Artin algebras of Morita contexts with two bimodule homomorphisms zero in the literature,where only sufficient conditions are given under a strong assumption of compatibility of *** application is provided to describe Gorenstein-projective modules over noncommutative tensor products arising from Morita *** results are proved under a general setting of noetherian rings and modules instead of Artin algebras and modules.

关键词： Gorenstein-projective module noetherian ring noncommutative tensor product totally exact complex weakly compatible bimodule

Fourier Transform of Anisotropic Hardy Spaces Associated with Ball Quasi-Banach Function Spaces and Its Applications to Hardy-Littlewood Inequalities

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Acta Mathematicae Applicatae Sinica 2024年

作者： Chao-an LI Xian-jie YAN Da-chun YANG Laboratory of mathematics and Complex Systems (Ministry of education of China) School of Mathematical Sciences Beijing Normal University Institute of Contemporary mathematics School of Mathematics and Statistics Henan University

Let A be a general expansive matrix and X be a ball quasi-Banach function space on ■~n, whose certain power（namely its convexification） supports a Fefferman-Stein vector-valued maximal inequality and the associate space of whose other power supports the boundedness of the powered Hardy-Littlewood maximal *** HXA（■~n） be the anisotropic Hardy space associated with A and *** authors first prove that the Fourier transform of f ∈ HXA（■~n） coincides with a continuous function F on ■~n in the sense of tempered ***,the authors obtain a pointwise inequality that the function F is less than the product of the anisotropic Hardy space norm of f and a step function with respect to the transpose matrix of the expansive matrix *** this,the authors further induce a higher order convergence for the function F at the origin and give a variant of the Hardy-Littlewood inequality in HXA（■~n）.All these results have a wide range of ***,the authors apply these results,respectively,to classical（variable and mixed-norm）Lebesgue spaces,Lorentz spaces,Orlicz spaces,Orlicz-slice spaces,and local generalized Herz spaces and,even on the last four function spaces,the obtained results are completely new.

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Influence of Temperature-Dependent Thermophysical Properties of TiO2-SiO2-ZnO-Fe2O3/PAO Tetra-Hybrid Nanofluid along a Vertical Porous Surface with Suction

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Open Journal of Fluid Dynamics 2024年第3期14卷 123-146页

作者： Philip Iyiola Farayola Lateefat Olanike Aselebe Kafilat Adebimpe Salaudeen Saheed Dolapo Ogundiran Tajudeen Motunrayo Asiru Department of mathematics and Computing Science education Emmanuel Alayande University of Education Oyo Nigeria Department of general Studies Federal School of Surveying Oyo Nigeria Department of Pure and Applied mathematics Ladoke Akintola University of Technology Ogbomoso Nigeria

The significance of the thermophysical properties of Tetra hybrid nanofluid in enhancing heat transmission in various applications like heat exchangers, automobiles, and solar storage cannot be overstated. These features can be tampered with when nanoparticles are been introduced into the base fluid to produce an improved heat carrier fluid for the system. This study investigates the impact of temperature-dependent properties on the movement of TiO2-SiO2-ZnO-Fe2O3/PAO Tetra hybrid nanofluid along a vertical porous surface with suction. The system of governing Partial Differential Equations (PDEs) was formulated and transformed into the system of coupled nonlinear third-order Ordinary Differential Equations (ODEs) by similarity techniques. The resulting ODEs were solved numerically using the shooting method and fourth order Runge-Kutta method with the aid of Maple 18.0 software. Using numerical and statistical methods, the study analyzes velocity, temperature profiles, skin friction coefficient, and Nusselt number. It was found that as the variable thermal conductivity parameter upsurges both the skin friction coefficient and Nusselt number intensify at the rate of 0.011697519 and 8.043581616 respectively. This study underscores the vital role of Tetra hybrid nanofluid’s thermophysical properties in improving heat transmission for diverse appli cations. By manipulating nanoparticles within the base fluid, the heat carrier fluid’s efficiency can be enhanced, critical for industries like automotive and enewable energy. These insights inform the design of more efficient heat exchange systems, advancing sustainability and performance in real-world scenarios.

关键词： Tetra Hybrid Nanofluid Shooting Technique Numerical Method Skin Friction Nusselt Number Thermophysical Properties

Machine Learning-Based Decision-Making Mechanism for Risk Assessment of Cardiovascular Disease

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工程与科学中的计算机建模(英文) 2024年第1期138卷 691-718页

作者： Cheng Wang Haoran Zhu Congjun Rao School of mathematics and Statistics Hubei University of EducationWuhan430205China School of Science Wuhan University of TechnologyWuhan430070China

Cardiovascular disease(CVD)has gradually become one of the main causes of harm to the life and health of *** the influencing factors and risk assessment methods of CVD has become a general *** this paper,a machine learning-based decision-making mechanism for risk assessment of CVD is *** this mechanism,the logistics regression analysismethod and factor analysismodel are used to select age,obesity degree,blood pressure,blood fat,blood sugar,smoking status,drinking status,and exercise status as the main pathogenic factors of CVD,and an index systemof risk assessment for CVD is ***,a two-stage model combining K-means cluster analysis and random forest(RF)is proposed to evaluate and predict the risk of CVD,and the predicted results are compared with the methods of Bayesian discrimination,K-means cluster analysis and *** results show that thepredictioneffect of theproposedtwo-stagemodel is better than that of the ***,several suggestions for the government,the medical industry and the public are provided based on the research results.

关键词： CVD influencing factors risk assessment machine learning two-stage model

How the microenvironment dominated by the distance effect to regulate the FeN_(4)site ORR activity and selectivity?

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Nano Research 2024年第6期17卷 5735-5741页

作者： Peng Li Qingfeng Guo Jianrui Zhang Ruilin Chen Shujiang Ding Yaqiong Su School of Chemistry Engineering Research Center of Energy Storage Materials and Devices of Ministry of EducationNational Innovation Platform(Center)for Industry-Education Integration of Energy Storage TechnologyXi’an Jiaotong UniversityXi’an 710049China Huanghe Science and Technology College Zhengzhou 450063China general Research Institute of Engineering of Gotion High-Tech Hefei 230041China

The distance effect of the doped heteroatoms away from the catalytic centers has rarely been *** this work,we conducted density functional theory calculations to thoroughly investigate the influence of heteroatom(N,P,B,and S atoms)doping distance on the oxygen reduction reaction(ORR)activity of graphene-based FeN_(4)*** uncovered a Sabatier-like relationship between heteroatom doping distance and ORR activity of FeN_(4)*** nearest doping does not significantly improve and even block the ORR activity of FeN_(4)*** ORR activity is achieved when the heteroatoms are 4-5Å(N,P,and S atoms)or 6-7Å(B atoms)away from the Fe *** of electronic structure indicates that distance effect can modulate the local chemical environment of Fe atoms,thereby account for the changes in ORR activity along with the doping distance and doping *** study provides insights into the influence of heteroatom doping on the chemical environment of reaction active centers,and provides the theoretical guidance for controlling the doping distance of heteroatoms to achieve optimal catalytic activity and selectivity.

关键词： distance effect microenvironment heteroatom doping FeN_(4) Sabatier-like relationship structure-activity relationship

Pathology of pain and its implications for therapeutic interventions

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Signal Transduction and Targeted Therapy 2024年第7期9卷 2851-2899页

作者： Bo Cao Qixuan Xu Yajiao Shi Ruiyang Zhao Hanghang Li Jie Zheng Fengyu Liu You Wan Bo Wei Department of general Surgery First Medical CenterChinese PLA General HospitalBeijing 100853China Medical School of Chinese PLA Beijing 100853China Neuroscience Research Institute and Department of Neurobiology School of Basic Medical SciencesKey Laboratory for NeuroscienceMinistry of Education/National Health CommissionPeking UniversityBeijing 100191China

Pain is estimated to affect more than 20%of the global population,imposing incalculable health and economic *** pain management is crucial for individuals suffering from ***,the current methods for pain assessment and treatment fall short of clinical *** from advances in neuroscience and biotechnology,the neuronal circuits and molecular mechanisms critically involved in pain modulation have been *** research achievements have incited progress in identifying new diagnostic and therapeutic *** this review,we first introduce fundamental knowledge about pain,setting the stage for the subsequent *** review next delves into the molecular mechanisms underlying pain disorders,including gene mutation,epigenetic modification,posttranslational modification,inflammasome,signaling pathways and *** better present a comprehensive view of pain research,two prominent issues,sexual dimorphism and pain comorbidities,are discussed in detail based on current *** status quo of pain evaluation and manipulation is summarized.A series of improved and innovative pain management strategies,such as gene therapy,monoclonal antibody,brain-computer interface and microbial intervention,are making strides towards clinical *** highlight existing limitations and future directions for enhancing the quality of preclinical and clinical *** to decipher the complexities of pain pathology will be instrumental in translating scientific discoveries into clinical practice,thereby improving pain management from bench to bedside.

关键词： pain thereby summarized

Insights into the history and tendency of glycosylation and digestive system tumor:A bibliometric-based visual analysis

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World Journal of Gastrointestinal Oncology 2024年第3期16卷 1059-1075页

作者： Jie Jiang Zai Luo Ren-Chao Zhang Yue-Ling Wang Jun Zhang Ming-Yu Duan Zheng-Jun Qiu Chen Huang Department of Gastrointestinal Surgery Shanghai General HospitalShanghai Jiao Tong University School of MedicineShanghai 200080China Jiangnan University Wuxi School of Medicine Wuxi 214122Jiangsu ProvinceChina Department of education Shanghai General HospitalShanghai Jiao Tong University School of MedicineShanghai 200080China

BACKGROUND Glycosylation,a commonly occurring post-translational modification,is highly expressed in several tumors,specifically in those of the digestive system,and plays a role in various cellular pathophysiological *** the importance and detection methods of glycosylation in digestive system tumors have garnered increasing attention in recent years,bibliometric analysis of this field remains *** present study aims to identify the developmental trends and research hotspots of glycosylation in digestive system *** To find and identify the developmental trends and research hotspots of glycosylation in digestive system *** We obtained relevant literature from the Web of Science Core Collection and employed VOSviewer 1.6.19 and CiteSpace(version 6.1.R6)to perform bibliometric *** A total of 2042 documents spanning from 1978 to the present were analyzed,with the research process divided into three phases:the period of obscurity(1978-1990),continuous development period(1991-2006),and the rapid outbreak period(2007-2023).These documents were authored by researchers from 66 countries or regions,with the United States and China leading in terms of publication *** Celso A had the highest number of publications,while Pinho SS was the most cited ***-occurrence analysis revealed the most popular keywords in this field are glycosylation,expression,cancer,colorectal cancer,and pancreatic ***,the Journal of Proteome Research was the most prolific journal in terms of publications,while the Journal of Biological Chemistry had the most *** The bibliometric analysis shows current research focus is primarily on basic research in this ***,future research should aim to utilize glycosylation as a target for treating tumor patients.

关键词： Glycosylation Cancer Digestive system Bibliometric analysis CiteSpace VOS viewer

EVOLUTION AND INTERACTION OFδ-WAVES IN THE ZERO-PRESSURE GAS DYNAMICS SYSTEM

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Acta Mathematica Scientia 2024年第5期44卷 1801-1836页

作者： Abhishek DAS K.T.JOSEPH Centre for Data Science Institute of Technical Education and Research(ITER)Siksha‘O’Anusandhan(Deemed to be University)BhubaneswarOdisha751030India Centre for Applicable mathematics Tata Institute of Fundamental ResearchSharada NagarBangalore560065KarnatakaIndia

Evolution and interaction of plane waves of the multidimensional zero-pressure gas dynamics system leads to the study of the corresponding one dimensional *** this paper,we study the initial value problem for one dimensional zero-pressure gas dynamics *** the first equation is the Burgers equation and the second one is the continuity *** consider the solution with initial data in the space of bounded Borel *** we prove a general existence result in the algebra of generalized functions of *** we study in detail special solutions withδ-measures as initial *** study interaction of waves originating from initial data concentrated on two point sources and interaction with classical shock/rarefaction *** gives an understanding of plane-wave interactions in the multidimensional *** use the vanishing viscosity method in our analysis as this gives the physical solution.

关键词： zero-pressure gas dynamics delta-waves interaction of waves