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Brunn-Minkowski inequalities for star duals of intersection bodies and two additions 被引量:1
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作者 刘丽娟 汪卫 何斌吾 《Journal of Shanghai University(English Edition)》 CAS 2010年第3期201-205,共5页
In this paper,we first establish the dual Brunn-Minkowski inequality for the star duals for the Lp radial sum.Furthermore,we give some Brunn-Minkowski inequalities for the star duals of intersection bodies for the Lp ... In this paper,we first establish the dual Brunn-Minkowski inequality for the star duals for the Lp radial sum.Furthermore,we give some Brunn-Minkowski inequalities for the star duals of intersection bodies for the Lp radial sum and the Lp harmonic Blaschke sum. 展开更多
关键词 star dual Brunn-Minkowski inequality intersection body Lp radial sum Lp harmonic Blaschke sum
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Ordered Generalized Sequence Spaces and their Duals
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作者 卜庆营 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 1995年第3期7-10,共4页
The main result of this paper is the identification of the sequential order dual [∧(X)]so containing sequentially order continuous linear functionals on the ordered generalized sequence space ∧(X) with its generaliz... The main result of this paper is the identification of the sequential order dual [∧(X)]so containing sequentially order continuous linear functionals on the ordered generalized sequence space ∧(X) with its generalized Kothe dual ∧x(Xso), defined corresponding to the dual pair <X, Xso>. 展开更多
关键词 ss: GENERALIZED SEQUENCE space order DUAL Kothe DUAL
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ON NECESSARY AND SUFFICIENT CONDITIONS FOR DUALS OF WAVELET FRAMES
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作者 Zhang Zeyin Wang Jianzhong 《Acta Mathematica Scientia》 SCIE CSCD 1995年第1期6-14,共9页
This paper is concerned with the characterization of the duals of wavelet frames of L(2)(R).The sufficient and necessary conditions for them are obtained.
关键词 Waveiet anglysis FRAMES Dual frames Affine frames Tight frames.
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Characteristic tilting modules and Ringel duals 被引量:4
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作者 惠昌常 《Science China Mathematics》 SCIE 2000年第11期1121-1130,共10页
The characteristic tilting modules of quasi-hereditary algebras which are dual extensions of directed monomial algebras are explicitly constructed; and it is shown that the Ringel dual of the dual extension of an arbi... The characteristic tilting modules of quasi-hereditary algebras which are dual extensions of directed monomial algebras are explicitly constructed; and it is shown that the Ringel dual of the dual extension of an arbitrary hereditary algebra has triangular decomposition and bipartite quiver. 展开更多
关键词 quasi-hereditary ALGEBRAS CHARACTERISTIC MODULES DUAL EXTENSIONS Ringel duals.
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Peak current reduction in presence of RF phase modulationin the dual RF system
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作者 Jiang Bocheng Zhang Yao Tsai Cheng-Ying 《强激光与粒子束》 北大核心 2026年第1期160-165,共6页
[Background]High harmonic cavities are widely used in electron storage rings to lengthen thebunch,lower the bunch peak current,thereby reducing the IBS effect,enhancing the Touschek lifetime,as well asproviding Landau... [Background]High harmonic cavities are widely used in electron storage rings to lengthen thebunch,lower the bunch peak current,thereby reducing the IBS effect,enhancing the Touschek lifetime,as well asproviding Landau damping,which is particularly important for storage rings operating with ultra-low emittance or atlow beam energy.[Purpose]To further increase the bunch length without additional hardware costs,the phasemodulation in a dual-RF system is considered.[Methods]In this paper,turn-by-turn simulations incorporating randomsynchrotron radiation excitation are conducted,and a brief analysis is presented to explain the bunch lengtheningmechanism.[Results]Simulation results reveal that the peak current can be further reduced,thereby mitigating IBSeffects and enhancing the Touschek lifetime.Although the energy spread increases,which tends to reduce thebrightness of higher-harmonic radiation from the undulator,the brightness of the fundamental harmonic can,in fact,beimproved. 展开更多
关键词 dual high-frequency system phase modulation beam bunch stretching intra-beam scattering
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DAUNet: Unsupervised Neural Network Based on Dual Attention for Clock Synchronization in Multi-Agent Wireless Ad Hoc Networks
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作者 Haihao He Xianzhou Dong +2 位作者 Shuangshuang Wang Chengzhang Zhu Xiaotong Zhao 《Computers, Materials & Continua》 2026年第1期847-869,共23页
Clock synchronization has important applications in multi-agent collaboration(such as drone light shows,intelligent transportation systems,and game AI),group decision-making,and emergency rescue operations.Synchroniza... Clock synchronization has important applications in multi-agent collaboration(such as drone light shows,intelligent transportation systems,and game AI),group decision-making,and emergency rescue operations.Synchronization method based on pulse-coupled oscillators(PCOs)provides an effective solution for clock synchronization in wireless networks.However,the existing clock synchronization algorithms in multi-agent ad hoc networks are difficult to meet the requirements of high precision and high stability of synchronization clock in group cooperation.Hence,this paper constructs a network model,named DAUNet(unsupervised neural network based on dual attention),to enhance clock synchronization accuracy in multi-agent wireless ad hoc networks.Specifically,we design an unsupervised distributed neural network framework as the backbone,building upon classical PCO-based synchronization methods.This framework resolves issues such as prolonged time synchronization message exchange between nodes,difficulties in centralized node coordination,and challenges in distributed training.Furthermore,we introduce a dual-attention mechanism as the core module of DAUNet.By integrating a Multi-Head Attention module and a Gated Attention module,the model significantly improves information extraction capabilities while reducing computational complexity,effectively mitigating synchronization inaccuracies and instability in multi-agent ad hoc networks.To evaluate the effectiveness of the proposed model,comparative experiments and ablation studies were conducted against classical methods and existing deep learning models.The research results show that,compared with the deep learning networks based on DASA and LSTM,DAUNet can reduce the mean normalized phase difference(NPD)by 1 to 2 orders of magnitude.Compared with the attention models based on additive attention and self-attention mechanisms,the performance of DAUNet has improved by more than ten times.This study demonstrates DAUNet’s potential in advancing multi-agent ad hoc networking technologies. 展开更多
关键词 Clock synchronization deep learning dual attention mechanism pulse-coupled oscillator
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Design of 400 V-10 kV Multi-Voltage Grades of Dual Winding Induction Generator for Grid Maintenance Vehicle
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作者 Tiankui Sun Shuyi Zhuang +3 位作者 Yongling Lu Wenqiang Xie Ning Guo Sudi Xu 《Energy Engineering》 2026年第1期356-372,共17页
To ensure an uninterrupted power supply,mobile power sources(MPS)are widely deployed in power grids during emergencies.Comprising mobile emergency generators(MEGs)and mobile energy storage systems(MESS),MPS are capabl... To ensure an uninterrupted power supply,mobile power sources(MPS)are widely deployed in power grids during emergencies.Comprising mobile emergency generators(MEGs)and mobile energy storage systems(MESS),MPS are capable of supplying power to critical loads and serving as backup sources during grid contingencies,offering advantages such as flexibility and high resilience through electricity delivery via transportation networks.This paper proposes a design method for a 400 V–10 kV Dual-Winding Induction Generator(DWIG)intended for MEG applications,employing an improved particle swarmoptimization(PSO)algorithmbased on a back-propagation neural network(BPNN).A parameterized finite element(FE)model of the DWIG is established to derive constraints on its dimensional parameters,thereby simplifying the optimization space.Through sensitivity analysis between temperature rise and electromagnetic loss of the DWIG,the main factors influencing the machine’s temperature are identified,and electromagnetic loss is determined as the optimization objective.To obtain an accurate fitting function between electromagnetic loss and dimensional parameters,the BPNN is employed to predict the nonlinear relationship between the optimization objective and the parameters.The Latin hypercube sampling(LHS)method is used for random sampling in the FE model analysis for training,testing,and validation,which is then applied to compute the cost function in the PSO.Based on the relationships obtained by the BPNN,the PSO algorithm evaluates the fitness and cost functions to determine the optimal design point.The proposed optimization method is validated by comparing simulation results between the initial design and the optimized design. 展开更多
关键词 Dual winding induction generator mobile emergency generator optimization design BP neural network
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Dual carbapenem-fluoroquinolone resistance in community-onset pediatric urinary tract infections:Phenotypic-genotypic integration in three cases
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作者 C Quang Ngo D Hung Tran +2 位作者 T Trung Huynh Q Nhu Nguyen H My Le 《Asian Pacific Journal of Tropical Medicine》 2026年第1期45-48,共4页
Urinary tract infections(UTIs)are among the most prevalent pediatric bacterial infections,and undertreated episodes may lead to renal scarring,hypertension,or chronic kidney disease.Multidrug-resistant(MDR)Enterobacte... Urinary tract infections(UTIs)are among the most prevalent pediatric bacterial infections,and undertreated episodes may lead to renal scarring,hypertension,or chronic kidney disease.Multidrug-resistant(MDR)Enterobacterales have been increasingly reported in children,with higher rates in Asian and Middle Eastern settings than in high-income countries[1,2]. 展开更多
关键词 phenotypic genotypic integration chronic kidney diseasemultidrug resistant mdr enterobacterales community onset pediatric urinary tract infections renal scarring urinary tract infections dual carbapenem fluoroquinolone resistance multidrug resistant enterobacterales
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Duals of Hardy Spaces of B-valued Martingales for 0 被引量:4
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作者 Lin YU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第8期1365-1380,共16页
The dual of B-valued martingale Hardy space Hr^s(p) (B) with small index 0 〈 r ≤ 1, which is associated with the conditional p-variation of B-valued martingale, is characterized. In order to obtain the results, ... The dual of B-valued martingale Hardy space Hr^s(p) (B) with small index 0 〈 r ≤ 1, which is associated with the conditional p-variation of B-valued martingale, is characterized. In order to obtain the results, a new type of Campanato spaces for B-valued martingales is introduced and the classical technique of atomic decompositions is improved. Some results obtained here are connected closely with the p-uniform smoothness and q-uniform convexity of the underlying Banach space. 展开更多
关键词 Dual spaces B-valued martingale Hardy spaces
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Multi-window Gabor frames and oblique Gabor duals on discrete periodic sets 被引量:2
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作者 LI YunZhang LIAN QiaoFang 《Science China Mathematics》 SCIE 2011年第5期987-1010,共24页
Given L, N, M ∈ N and an NZ-periodic set S in Z, let l2(S) be the closed subspace of l2(Z) consisting of sequences vanishing outside S. For f = { fl : 0≤l≤L-1 }l2(Z), we denote by G(f, N, M) the Gabor system genera... Given L, N, M ∈ N and an NZ-periodic set S in Z, let l2(S) be the closed subspace of l2(Z) consisting of sequences vanishing outside S. For f = { fl : 0≤l≤L-1 }l2(Z), we denote by G(f, N, M) the Gabor system generated by f, and by L(f, N, M) the closed linear subspace generated by G(f, N, M). This paper addresses density results, frame conditions for a Gabor system G(g, N, M) in l2(S), and Gabor duals of the form G(a, N, M) in some L(h, N, M) for a frame G(g, N, M) in l2(S) (so-called oblique duals). We obtain a density theorem for a Gabor system G(g, N, M) in l2(S), and show that such condition is suficient for theexistence of g={XE1:0≤l≤L-1} with G(g,N,m) We characterize g with G(g,N,m) being respectively a frame for L(g,N,m) being a tight frame for l2(S).and G(h, N, M ) in L(h, N, M ), we establish a criterion for the existence of an oblique Gabor dual of g in L(h, N, M), study the uniqueness of oblique Gabor dual, and derive an explicit expression of a class of oblique Gabor duals (among which the one with the smallest norm is obtained). Some examples are also provided. 展开更多
关键词 Gabor system Gabor flame multi-window Gabor frame periodic set oblique Gabor dual
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Ringel duals of extension algebras of posets 被引量:1
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作者 ZHANG YuehuiDepartment of Mathematics and Physics, Hainan University, Haikou 570228, China 《Chinese Science Bulletin》 SCIE EI CAS 1999年第2期129-132,共4页
The Ringel dual of the dual extension algebra of a poset having a largest element is
关键词 DUAL EXTENSION ALGEBRA ordinary QUIVER Ringel dual.
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Rational time-frequency multi-window subspace Gabor frames and their Gabor duals 被引量:1
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作者 ZHANG Yan LI YunZhang 《Science China Mathematics》 SCIE 2014年第1期145-160,共16页
This paper addresses the theory of multi-window subspace Gabor frame with rational time-frequency parameter products.With the help of a suitable Zak transform matrix,we characterize multi-window subspace Gabor frames,... This paper addresses the theory of multi-window subspace Gabor frame with rational time-frequency parameter products.With the help of a suitable Zak transform matrix,we characterize multi-window subspace Gabor frames,Riesz bases,orthonormal bases and the uniqueness of Gabor duals of type I and type II.Using these characterizations we obtain a class of multi-window subspace Gabor frames,Riesz bases,orthonormal bases,and at the same time we derive an explicit expression of their Gabor duals of type I and type II.As an application of the above results,we obtain characterizations of multi-window Gabor frames,Riesz bases and orthonormal bases for L2(R),and derive a parametric expression of Gabor duals for multi-window Gabor frames in L2(R). 展开更多
关键词 frame Gabor frame dual
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On Cardinal Wavelets with Compact Support and Their Duals 被引量:1
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作者 Liu Youming (Department of Applied Mathematics,Beijing Polytechnic University,Beijing 100022,China) 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1997年第1期127-132,共6页
Some people try to construct an orthonormal wavelet such that the corresponding scaling function(t)has the cardinal property,i.e.(n)=δ<sub>n0</sub>,since such wavelets have many good applications.Unfo... Some people try to construct an orthonormal wavelet such that the corresponding scaling function(t)has the cardinal property,i.e.(n)=δ<sub>n0</sub>,since such wavelets have many good applications.Unfortunate]y it is impossible to do so,except for a trivial case.In this work,a family of non-orthogonal cardinal wavelets with compact support is constructed and their duals are investigated. 展开更多
关键词 WAVELET cardinal scaling function DUAL
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Polar Duals of Rotors
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作者 Ghandehari M. Department of Mathematics Noval Postgraduate School Monterey, CA 93943 U. S. A. 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1996年第1期40-42,共3页
Assume K is a rotor in a regular simplex of heihgt 1 in an n-dimensional Euclidean space. Let K~* denote the polar dual of K. Then the volume V(K~*) satisfies the inequality V(K~*)≥(n+1)~nω_n, where ω_n denotes th... Assume K is a rotor in a regular simplex of heihgt 1 in an n-dimensional Euclidean space. Let K~* denote the polar dual of K. Then the volume V(K~*) satisfies the inequality V(K~*)≥(n+1)~nω_n, where ω_n denotes the volume of an n-dimensional unit ball. Equality holds if and only if K is a ball centered at the centroid of the simplex. 展开更多
关键词 ROTOR Polar dual Regulor Simplex
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CALCULATION OF PENALTIES IN ALGORITHM OF MIXEDINTEGER PROGRAMMING SOLVING WITH REVISED DUALSIMPLEX METHOD FOR BOUNDED VARIABLES
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作者 Wei, YM Hu, QH 《Journal of Computational Mathematics》 SCIE CSCD 1999年第5期545-552,共8页
The branch-and-bound method with the revised dual simplex for bounded variables is very effective in solving relatively large-size integer linear programming problems. This paper, based on the general forms of the pen... The branch-and-bound method with the revised dual simplex for bounded variables is very effective in solving relatively large-size integer linear programming problems. This paper, based on the general forms of the penalties by Beale and Small and the stronger penalties by Tomlin, describes the modifications of these penalties used for the method of bounded variables. The same examples from Petersen are taken and the satisfactory results are shown in comparison with those obtained by Tomlin. 展开更多
关键词 PENALTIES stronger penalties the revised dual simplex method for bounded variables
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是鸡肋还是利器索尼DualSense Edge上手体验
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作者 Jeffrey 《家庭影院技术》 2023年第3期106-107,共2页
一直以来微软展现了手柄大厂的风范,除了不断出新的配色和游戏限定配色去掏空玩家钱包以外,目标为核(tu)心(hao)玩家的精英手柄系列更是出到了2代.而迟迟未动的索尼这边终于在今年年初发售了第一款精英手柄DualSense Edge!热爱游戏和硬... 一直以来微软展现了手柄大厂的风范,除了不断出新的配色和游戏限定配色去掏空玩家钱包以外,目标为核(tu)心(hao)玩家的精英手柄系列更是出到了2代.而迟迟未动的索尼这边终于在今年年初发售了第一款精英手柄DualSense Edge!热爱游戏和硬件的我立马吃螃蟹.这期就来一探这个最新手柄的方方面面,和自家DualSense以及Xbox Elite 2做一下对比. 展开更多
关键词 Dual 配色 索尼 掏空 玩家 手柄
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应用短dual刀经口内镜下食管括约肌切开术治疗贲门失弛缓症临床疗效观察
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作者 闪明海 胡爱丽 +3 位作者 何芳 王晓雄 赵晓红 杨少奇 《现代消化及介入诊疗》 2025年第9期920-924,共5页
目的观察短dual刀经口内镜行食管括约肌切开术(POEM)治疗贲门失弛缓症(AC)的安全性及有效性。方法以2017年1月至2025年1月在宁夏医科大学总医院确诊为AC患者行短dual刀实施POEM手术的28例患者作为研究对象,记录手术操作时间、术中、术... 目的观察短dual刀经口内镜行食管括约肌切开术(POEM)治疗贲门失弛缓症(AC)的安全性及有效性。方法以2017年1月至2025年1月在宁夏医科大学总医院确诊为AC患者行短dual刀实施POEM手术的28例患者作为研究对象,记录手术操作时间、术中、术后并发症及Eckardt评分。术后随访观察6个月。结果28例患者行POEM术26例,2例因无法建立隧道改为开放式食管括约肌切开术(O-POEM),手术平均时间为(35.7±2.4)min;术中肌切开时发生出血2例(7.14%),术后皮下积气1例(3.57%),所有患者术中和术后均无严重并发症;术后随访6个月,28例患者术后Eckardt中位评分为1(1,2)分,较术前的中位评分6(5,7)分明显降低(P<0.05)。结论对AC患者应用短dual刀实施POEM术及O-POEM术,手术时间较短,并发症发生率低,具有较高的安全性和有效性,利于POEM术的开展。 展开更多
关键词 贲门失弛缓症 食管括约肌 短dual刀 临床疗效
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内镜下Dual刀联合电圈套器治疗胃巨大结石2例
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作者 黄忠 程芳 魏尉 《现代消化及介入诊疗》 2025年第3期391-392,共2页
胃结石是一种常见的消化道疾病,治疗方法有三种:药物治疗、内镜下治疗和手术治疗。使用中药排石、药物溶石法等药物治疗方法,治疗时间较长,治疗效果差;外科手术创伤大,可能出现并发症。近年来,内镜下治疗逐渐成为首选,内镜下治疗包括激... 胃结石是一种常见的消化道疾病,治疗方法有三种:药物治疗、内镜下治疗和手术治疗。使用中药排石、药物溶石法等药物治疗方法,治疗时间较长,治疗效果差;外科手术创伤大,可能出现并发症。近年来,内镜下治疗逐渐成为首选,内镜下治疗包括激光微爆破法、高频电碎石法、网篮或圈套器切割碎石法,以及活检钳、异物钳直接钳夹碎石法等^([1]),但对表面坚硬的巨大胃结石,治疗难度较大。 展开更多
关键词 Dual刀 电圈套器 胃镜 巨大胃结石
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Real-world evidence on the efficacy and safety of vonoprazanamoxicillin dual therapy for Helicobacter pylori treatment in elderly patients 被引量:1
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作者 Wen Gao Jing-Wen Li +3 位作者 Hui Ye Xue-Zhi Zhang Jian-Xiang Liu Hong Cheng 《World Journal of Gastroenterology》 SCIE CAS 2025年第1期68-78,共11页
BACKGROUND A dual therapy regimen containing amoxicillin is a common treatment option for the eradication of Helicobacter pylori(H.pylori).While substantial research supports the efficacy and safety of vonoprazan and ... BACKGROUND A dual therapy regimen containing amoxicillin is a common treatment option for the eradication of Helicobacter pylori(H.pylori).While substantial research supports the efficacy and safety of vonoprazan and amoxicillin(VA)dual therapy in the general population,there is still a lack of studies specifically focusing on its safety in elderly patients.AIM To evaluate efficacy and safety of VA dual therapy as first-line or rescue treatment for H.pylori in elderly patients.METHODS As a real-world retrospective study,data were collected from elderly patients aged 60 years and above who accepted VA dual therapy(vonoprazan 20 mg twice daily+amoxicillin 1000 mg thrice daily for 14 days)for H.pylori eradication in the Department of Gastroenterology at Peking University First Hospital between June 2020 and January 2024.H.pylori status was evaluated by^(13)C-urease breath test 6 weeks after treatment.All adverse events(AEs)during treatment were recorded.RESULTS In total,401 cases were screened.Twenty-one cases were excluded due to loss to follow-up,lack of re-examination,or unwillingness to take medication.The total of 380 included cases comprised 250 who received VA dual therapy as first-line treatment and 130 who received VA dual therapy as rescue treatment.H.pylori was successfully eradicated in 239 cases(95.6%)in the first-line treatment group and 116 cases(89.2%)in the rescue treatment group.The overall incidence of AEs was 9.5%for both groups.Specifically,9.2%of patients experienced an AE in the first-line treatment group and 10.0%in the rescue treatment group.Five patients discontinued treatment due to AE,with a discontinuation rate of 1.3%.No serious AE occurred.CONCLUSION The VA dual therapy regimen as a first-line treatment and a rescue therapy was effective and safe for elderly patients aged 60 and older. 展开更多
关键词 Helicobacter pylori Vonoprazan AMOXICILLIN Dual therapy ELDERLY
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P,N co-doped hollow carbon nanospheres prepared by micellar copolymerization for increased hydrogen evolution in alkaline water 被引量:1
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作者 HAN Yi-meng XIONG Hao +2 位作者 YANG Jia-ying WANG Jian-gan XU Fei 《新型炭材料(中英文)》 北大核心 2025年第1期211-221,共11页
The design of cost-effective and efficient metal-free carbon-based catalysts for the hydrogen evolution reaction(HER)is of great significance for increasing the production of clean hydrogen by the electrolysis of alka... The design of cost-effective and efficient metal-free carbon-based catalysts for the hydrogen evolution reaction(HER)is of great significance for increasing the production of clean hydrogen by the electrolysis of alkaline water.Precise control of the electronic structure by heteroatom doping has proven to be efficient for increasing catalytic activity.Nevertheless,both the structural characteristics and the underlying mechanism are not well understood,especially for doping with two different atoms,thus limiting the use of these catalysts.We report the production of phosphorus and nitrogen co-doped hollow carbon nanospheres(HCNs)by the copolymerization of pyrrole and aniline at a Triton X-100 micelle-interface,followed by doping with phytic acid and carbonization.The unique pore structure and defect-rich framework of the HCNs expose numerous active sites.Crucially,the combined effect of graphitic nitrogen and phosphorus-carbon bonds modulate the local electronic structure of adjacent C atoms and facilitates electron transfer.As a res-ult,the HCN carbonized at 1100°C exhibited superior HER activity and an outstanding stability(70 h at a current density of 10 mA cm^(−2))in alkaline water,because of the large number of graphitic nitrogen and phosphorus-carbon bonds. 展开更多
关键词 Alkaline hydrogen evolution ELECTROCATALYSTS Hollow carbon nanospheres Dual atoms doping Combined effect
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