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Inverse Limits in Representations of a Restricted Lie Algebra

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Acta Mathematica Sinica,English Series 2012年第12期28卷 2463-2474页

作者： yu feng YAO bin SHU Yi Yang LI Department of Mathematics Shanghai Maritime University Department of Mathematics East China Normal University School of Fundamental Studies Shanghai University of Engineering Science

Let （g, [p]） be a restricted Lie algebra over an algebraically closed field of characteristic p 〉 O. Then the inverse limits of ＂higher＂ reduced enveloping algebras {uxs （g） I s ∈ N} with X running over g＊ make representations of g split into different ＂blocks＂. In this paper, we study such an infinite- dimensional algebra Ax （g）：=lim Uxs （g） for a given X C g＊. A module category equivalence is built between subcategories of U（g）-rnod and Ax（g）-mod. In the case of reductive Lie algebras, （quasi） generalized baby Verma modules and their properties are described. Furthermore, the dimensions of projective covers of simple modules with characters of standard Levi form in the generalized x-reduced module category are precisely determined, and a higher reciprocity in the case of regular nilpotent is obtained, generalizing the ordinary reciprocity.

关键词： Restricted Lie algebra reductive Lie algebra inverse limit projective module standard Levi form

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桥接系统治疗严重粉碎性股骨骨折

中国骨伤 2020年第4期33卷 332-336页

作者：郭龙朱新宏于凤宾赖爱宁陶德刚陈冰黄飞浙江省湖州市福音医院陆军第72集团军医院骨二科浙江湖州313000

目的:探讨应用桥接系统治疗严重粉碎性股骨骨折的临床疗效。方法:2016年3月至2018年10月收治严重粉碎性股骨骨折患者50例,男35例,女15例,年龄48~72(54.6±8.7)岁;均为股骨干粉碎性骨折,合并股骨近端骨折16例,远端骨折7例;均为单侧骨折,... 详细信息

目的:探讨应用桥接系统治疗严重粉碎性股骨骨折的临床疗效。方法:2016年3月至2018年10月收治严重粉碎性股骨骨折患者50例,男35例,女15例,年龄48~72(54.6±8.7)岁;均为股骨干粉碎性骨折,合并股骨近端骨折16例,远端骨折7例;均为单侧骨折,左侧23例,右侧27例;受伤至手术时间5~60(26.7±13.3)h。致伤原因:交通意外12例,高处坠落35例,意外摔伤3例。采用桥接组合式内固定系统治疗,分析手术效果和骨折愈合情况。结果:50例患者的手术均成功,无更改为其他固定术式,手术时间(75.8±12.3)min,出血量(356.4±64.8)ml,无严重术后并发症如感染、内固定移位、再骨折、骨折不愈合等。术后随访6~36个月,以Warden评分评价骨折愈合,随着观察时间延长,Warden评分逐渐增加,骨性愈合时间(5.5±0.9)个月。术后采用Harris评分和HSS评分分别评估髋膝关节功能,随着时间延长,Harris和HSS均逐渐升高,术后6个月Harris评分83.5±11.2,HSS评分79.7±10.5。随访期间无严重并发症发生如内固定移位、再骨折、骨折不愈合、下肢深静脉血栓形成等。结论:桥接组合式内固定系统治疗严重粉碎性股骨骨折有较好的安全性和有效性;只要严格掌握局部解剖和生物力学要求,结合影像学充分评估手术风险,可实现较好的固定效果,手术创伤小、并发症少、操作简便,相信有较广泛的应用潜力。由于样本量和随访时间有限,未设置临床对照,研究结果仍需进一步前瞻性试验进行验证。

关键词：股骨骨折骨折,粉碎性骨折固定术,内

Generations of Integrable Hierarchies and Exact Solutions of Related Evolution Equations with Variable Coefficients

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Acta Mathematicae Applicatae Sinica 2014年第4期30卷 1085-1106页

作者： yu-feng ZHANG Yan WANG bin-lu feng Jian-qin MEI College of Sciences China University of Mining and Technology School of Mathematics and Information Science Henan Polytechnic University School of Mathematics and Information Sciences Weifang University School of Mathematical Sciences Dalian University of Technology

We first propose a way for generating Lie algebras from which we get a few kinds of reduced 6 6 Lie algebras, denoted by R6, R8 and R1,R6/2, respectively. As for applications of some of them, a Lax pair is introduced by using the Lie algebra R6 whose compatibility gives rise to an integrable hierarchy with 4- potential functions and two arbitrary parameters whose corresponding Hamiltonian structure is obtained by the variational identity. Then we make use of the Lie algebra R6 to deduce a nonlinear integrable coupling hierarchy of the mKdV equation whose Hamiltonian structure is also obtained. Again,via using the Lie algebra R62, we introduce a Lax pair and work out a linear integrable coupling hierarchy of the mKdV equation whose Hamiltonian structure is obtained. Finally, we get some reduced linear and nonlinear equations with variable coefficients and work out the elliptic coordinate solutions, exact traveling wave solutions, respectively.

关键词： Lie algebra Hamiltonian structure exact solution

Resistance of Cement-based Grouting Materials with Nano-SiO2 Emulsion to Chloride Ion Penetration

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Journal of Wuhan University of Technology(Materials Science) 2025年第1期 114-119页

作者：黎水平 CHENG Jian WEI Chao yuAN bin yu Chengxiao College of Architectural Science and Engineering Yangzhou University

The chloride penetration resistance of cement-based grout materials was improved by nano-silica *** of mixtures containing different nano-silica particles or emulsions were exposed in sodium chloride solutions of specific concentrations with different test *** properties of the mixes were assessed in terms of weight loss and compressive strength.X-ray diffraction （XRD） and scanning electron microscopy （SEM） of mixes were performed to analysis the phase evolution and *** results demonstrated that the introduction of nano-SiO2emulsion significantly decreased the compressive strength loss and calcium hydroxide （CH） crystal content of hydration production,and then enhanced the resistance of cement-based grouting materials to chloride ion *** improvement derives from the filling and pozzolanic effects of nano-SiO2particles,which were incorporated via an emulsion and attributed to a well dispersion in grouting matrix.

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Numerical investigation of the shockwave overpressure fields of multi-sources FAE explosions

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Defence Technology（防务技术） 2021年第4期17卷 1168-1177页

作者： Chun-hua Bai Xing-yu Zhao Jian Yao bin-feng Sun State Key Laboratory of Explosion Science and Technology Beijing Institute of TechnologyBeijing100081China

Shockwaves from fuel-air explosive(FAE)cloud explosions may cause significant *** ground overpressure field is usually used to evaluate the damage range of explosion *** this paper,a finite element model of multi-sources FAE explosion is established to simulate the process of multiple shockwaves propagation and *** model is verified with the experimental data of a fourfoldsource FAE explosion,with the total fuel mass of 340 *** results show that the overpressure fields of multi-sources FAE explosions are different from that of the *** the case of multisources,the overpressure fields are influenced significantly by source scattering distance and source ***,damage ranges of overpressure under three different levels are *** a suitable source scattering distance,the damage range of multi-sources situation is greater than that of the single-source,under the same amount of total fuel *** research provides a basis for personnel shockwave protection from multi-sources FAE explosion.

关键词： Fuel-air explosive Numerical simulation Multi-sources explosion Shockwave overpressure field

应急一体化管理、区域竞争力与城市韧性提升路径研究

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灾害学 2025年第1期40卷 146-152页

作者：窦路遥魏凤邓阿妹辛竹琳冯宇中国科学院武汉文献情报中心湖北武汉430071 中国科学院大学经济与管理学院信息资源管理系北京100190 科技大数据湖北省重点实验室湖北武汉430071 重庆大学经济与工商管理学院重庆400044

城市韧性建设关键在应急一体化管理和区域竞争力。有助于城市群高质量发展和减少灾害损失。该文基于组态思维整合应急一体化管理和区域竞争力9个相关要素,探讨影响城市韧性提升的多重并发因素和复杂因果机制。研究发现:①应急一体化管... 详细信息

城市韧性建设关键在应急一体化管理和区域竞争力。有助于城市群高质量发展和减少灾害损失。该文基于组态思维整合应急一体化管理和区域竞争力9个相关要素,探讨影响城市韧性提升的多重并发因素和复杂因果机制。研究发现:①应急一体化管理从成本可控性、资源协同性和政策支持性上影响城市韧性的提升,形成突发事件的事前预防、事中调配和事后恢复的逻辑闭环;而区域竞争力也分别从经济、发展、交易、生活层面上实现对城市韧性的综合描述。②高城市韧性组态分为强竞争力预防型、损失应激预防型、营商优化建设型、宜居持续建设型、政策支持拔高型,低城市韧性组态分为管理效能欠缺型和应急损失过度型。③在受损可控的范围内,灾害损失的出现反而可能在应急实践中促进韧性提升;过高的管理型支出会出现管理无效率的可能,而过低的管理型支出会出现管理失调的可能,都会产生抑制城市韧性的效果。

关键词：应急一体化管理区域竞争力城市韧性 fsQCA

Annealing Effect of Pulsed Laser Deposited Transparent Conductive Ta-Doped Titanium Oxide Films

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Chinese Physics Letters 2011年第11期28卷 239-242页

作者： WU bin-bin PAN feng-Ming YANG yu-E Department of Applied Physics College of ScienceNanjing University of Aeronautics and AstronauticsNanjing 211100

Tantalum-doped TiO_(2) films were deposited on glass at 300℃ by pulsed laser deposition(PLD).After postannealing in vacuum(∼10^(−4) Pa)at temperatures ranging from 450℃ to 650℃,these films were crystallized into an anatase TiO_(2) structure and presented good conductive *** increasing annealing temperature up to 550℃,the resistivity of the films was measured to be around 8.7×10^(−4)Ω・*** films exhibit high transparency of over 80%in the visible light *** results indicate that tantalum-doped anatase TiO_(2) films have a great potential as transparent conducting oxides.

关键词： annealing Titanium transparency

Constitutive Model of Warm Deformation Behavior of Medium Carbon Steel

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Journal of Iron and Steel Research International 2016年第9期23卷 940-948页

作者： Hong-bin LI yun-li feng Tao YAN En-lin yu National Engineering Research Center for Equipment and Technology of Cold Strip Rolling Yanshan University College of Metallurgy and Energy North China University of Science and Technology Equipment Manufacturing College Hebei University of Engineering

The compressive behaviors of medium carbon steel specimens were investigated over a wide range of tem- peratures and strain rates using a Gleeble-3500 thermo-simulation machine. The results show that the flow stress in- creased with strain at first, and then gradually decreased after reaching a peak value. The flow stress softening rate at a high strain rate was larger than that at a low strain rate. The effects of deformation heating and friction on flow stress were analyzed. A new friction correction method, wherein the effect of strain on frictional coefficient was con- sidered, was established here. The stresses revised by the new method deviated from the measured stresses with in- creasing strain. Meanwhile, the apparent frictional coefficient variation law with strain was obtained. The frictional coefficient increased as the strain increased and then slightly decreased after maintaining a constant value. The stress was corrected by considering deformation heating. The accuracy of the temperature correction method was verified using a special experiment. The results of the verification experiment show that the temperature correction method exhibited a good accuracy in calculating the variation of stress caused by deformation heating. A constitutive model considering strain was proposed here to describe the deformation behaviors. Compared with experimental data, the modified constitutive model exhibited a good accuracy as to constitutive correlation.

关键词： friction correction temperature correction deformation heating flow stress constitutive model

Two bone blocks sandwich technique for horizontal reconstruction of severely atrophic alveolar ridge in anterior maxilla: A case report

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World Journal of Clinical Cases 2020年第5期8卷 971-979页

作者： Hai-bin Xia yu-feng Zhang bin Shi Min Wang Department of Oral Implantology School and Hospital of StomatologyWuhan UniversityWuhan 430079Hubei ProvinceChina The State Key Laboratory Breeding Base of Basic Science of Stomatology Hubei Province and Key Laboratory of Oral Biomedicine(Wuhan University)Ministry of Education(Hubei-MOST and KLOBM)Wuhan 430079Hubei ProvinceChina

BACKGROUND Severe horizontal bone deficiency of the maxillary anterior region is considered a major challenge in reconstruction and successful implant *** approaches have been developed to augment bone *** these approaches,onlay bone graft,alveolar bone splitting,and guided bone regeneration have been *** SUMMARY A 22-year-old female patient,with no previous medical history,presented to the Department of Oral Implantology,Wuhan University due to a missing right maxillary *** X-ray results showed severe horizontal bone deficiency,with an available bone width of 3.1-4.0 *** two bone blocks sandwich technique was performed to augment the bone *** 6 months healing,X-ray results showed that the newly formed alveolar ridge dimension increased to 4.7-9.5 mm *** insertion surgery was performed and allceramic restorations were *** implant was stable at the 1-year followup visit after restoration,and the X-ray showed a stable bone level around the dental *** scores for the pink esthetic score and white esthetic score were 12 and 8,respectively,and the patient was satisfied with the esthetic *** The two bone blocks sandwich technique may be an alternative treatment option in augmenting severe horizontal bone deficiency of the anterior maxilla.

关键词： Horizontal bone resorption Onlay bone graft Sandwich Dental implant Esthetic Case report