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The key theorem and the bounds on the rate of uniform convergence of learning theory on Sugeno measure space

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Science in China(Series F) 2006年第3期49卷 372-385页

作者： ha Minghu LI Yan LI jia TIAN Dazeng College of Mathematics and Computer Sciences Hebei University Baoding 071002 China College of Physics Science and Technology Hebei University Baoding 071002 China

Some properties of Sugeno measure are further discussed, which is a kind of typical nonadditive measure. The definitions and properties of gλ random variable and its distribution function, expected value, and variance are then presented. Markov inequality, Chebyshev＇s inequality and the Khinchine＇s Law of Large Numbers on Sugeno measure space are also proven. Furthermore, the concepts of empirical risk functional, expected risk functional and the strict consistency of ERM principle on Sugeno measure space are proposed. According to these properties and concepts, the key theorem of learning theory, the bounds on the rate of convergence of learning process and the relations between these bounds and capacity of the set of functions on Sugeno measure space are given.

关键词： Sugeno measure the empirical risk minimization principle the key theorem the bounds on the rate of uniform convergence.

Influence of liquid bridge force on physical stability during fuel storage and transportation

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Defence Technology（防务技术） 2023年第11期29卷 106-116页

作者： Chi Zhang Chun-hua Bai jia-fan Ren jian Yao State Key Laboratory of Explosion Science and Technology Beijing Institute of TechnologyBeijing100081China School of Mechanical Engineering Nanjing University of Science and TechnologyNanjing210094China

The physical stability of solid-liquid fuel is a factor that needs to be considered for fuel product practicability for storage and transportation. To determine the Influence of liquid bridge force on physical stability, two detection devices were designed. The laws obtained from microscopic experiments are used to verify the physical stability of fuel under different component ratios. The liquid bridge force is found to increase with the droplet volume. Multiliquid bridges above one critical saturation can generate significant resultant forces compared to single-liquid bridges of the same volume. There exist four states of solid-liquid mixed fuel with increasing liquid saturation rate. The liquid bridge force between the solid and liquid plays a dominant role in the physical stability of the first three states. There may be two stages involved in the stratification process for state 4 fuel, and the liquid viscosity is another factor that cannot be ignored. In the process of selecting a fuel ratio, a larger liquid bridge force between the components can be obtained by properly improving the wetting effect so that the fuel shows better physical stability.

关键词： Liquid bridge force Fuel physical stability Multiliquid bridge resultant forces Mixed fuel stratification

Task Scheduling for Multi-Cloud Computing Subject to Security and Reliability Constraints

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IEEE/CAA Journal of Automatica Sinica 2021年第4期8卷 848-865页

作者： Qing-hua Zhu huan Tang jia-Jie huang Yan Hou School of Computer Science and Technology Guangdong University of TechnologyGuangzhou 510006China

The rise of multi-cloud systems has been *** safety-critical missions,it is important to guarantee their security and *** address trust constraints in a heterogeneous multi-cloud environment,this work proposes a novel scheduling method called matching and multi-round allocation(MMA)to optimize the makespan and total cost for all submitted tasks subject to security and reliability *** method is divided into two phases for task *** first phase is to find the best matching candidate resources for the tasks to meet their preferential demands including performance,security,and reliability in a multi-cloud environment;the second one iteratively performs multiple rounds of re-allocating to optimize tasks execution time and cost by minimizing the variance of the estimated completion *** proposed algorithm,the modified cuckoo search(MCS),hybrid chaotic particle search(HCPS),modified artificial bee colony(MABC),max-min,and min-min algorithms are implemented in CloudSim to create *** simulations and experimental results show that our proposed method achieves shorter makespan,lower cost,higher resource utilization,and better trade-off between time and economic *** is more stable and efficient.

关键词： Multi-cloud environment multi-quality of service(QoS) reliability security task scheduling

Relations between lymphangiogenesis and the size of pterygium

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International Journal of Ophthalmology(English edition) 2012年第3期5卷 312-316页

作者： Lin Liu, Xiu-hua jia General Hospital of Guangzhou Military Command of Chinese PLA Guangzhou 510010 Guangdong Province China Department of Ophthalmology the Third Affiliated Hospital Sun Yat-sen University Guangzhou 510630 Guangdong Province China Department of Ophthalmology Guangzhou Children's Hospital Guangzhou 510120 Guangdong Province China

AIM: To examine the relations between lymphangiogenesis and the size of pterygium. METHODS: Tissues from 88 primary and 34 recurrent pterygia were evaluated, and those from 7 nasal epibulbar conjunctiva segments were used as controls. Pterygium slices from each patient were stained with LYVE-1 monodonal antibodies to identify lymphatic microvessel for calculating lymph-vascular area (LVA), lymph-microvascular density (LMD) and lymph-vascular luminal diameter (LVL). Also, the relations between lymphangiogenesis (measuring by LVA, LMD and LVL) and the size of pterygium (extension, width and area) were explored. RESULTS: There were a few LYVE-1 ((+)) lymphatic vessels in normal epibulbar conjunctiva segments. However, the number of lymphatic vessels slightly increased in primary pterygia and dramatically increased in recurrent pterygia. LVA, LMD and LVL significantly increased in recurrent pterygia in comparison with primary pterygia (all Phangiogenesis is correlated with the size of pterygium. The outgrowth of lymphatic vessels might contribute to the development of pterygia.

关键词： pterygia lymphatic vessel size

Study on Nonuniform Deformation of Tailor Rolled Blank During Uniaxial Tension

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Acta Metallurgica Sinica(English Letters) 2015年第9期28卷 1198-1204页

作者： hua-Wei Zhang Xiang-hua Liu Li-Zhong Liu Ping Hu jia-Lu Wu School of Mechanical Engineering and Automation Northeastern University Research Institute of Science and Technology Northeastern University School of Automotive Engineering Dalian University of Technology

The deformation characteristics of tailor rolled blank （TRB） in the course of uniaxial tension were studied by means of analysis, test and simulation. The mechanical analytical model of TRB during uniaxial tension was set up, and the deformation formulae for the thinner side and for the thicker side were derived to quantify the deformation of TRB. On this basis, uniaxial tension tests on TRB and ordinary blanks （the thinner side and the thicker side of TRB） were conducted. Lagrange polynomial interpolation method was adopted to construct the stress-strain fields of unannealed and annealed TRBs for solving TRB material parameters, and then, uniaxial tension simulation on TRB was completed. Deformations and properties of unannealed TRB were compared with those of annealed TRB, and the thinner side and the thicker side were also compared. Finally, the research results were explained by metallurgical structure. The results show that nonuniform deformation happens in TRB during uniaxial tension, and the necking occurs on the thinner side. The agreement of analysis, test and simulation confirms the correctness of the analytical model and the deformation formulae. The findings of this paper can lay the foundation for the future study on TRB stamping formability and provide a way for TRB modeling.

关键词： Tailor rolled blank (TRB) Nonuniform deformation Uniaxial tension Annealing Metallographical

Impress of intergenerational emotional support on the depression in non-cohabiting parents

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World Journal of Clinical Cases 2019年第21期7卷 3407-3418页

作者： Yun-hua jia Zhi-Hong Ye Department of Nursing Affiliated Sir Run Run Shaw HospitalZhejiang University School of MedicineHangzhou 310016Zhejiang ProvinceChina School of Medicine Zhejiang University City CollegeHangzhou 310015Zhejiang ProvinceChina

BACKGROUND Mental health is one of the important dimensions of health,while depression is an important indicator of mental health *** To investigate the association between intergenerational emotional support and depression of non-cohabiting parents(≥45 years old)in *** We used the fourth wave data from the China Health and Retirement Longitudinal Study(2015).The data was made up of ten main modules,the associated two datasets,and five constructed *** first step is to select the corresponding module data according to the purpose of this ***,the data of the six modules are integrated by the unique ID code and we choose depression and non-cohabiting items as the selection conditions.4810 samples were selected,which mainly included data on intergenerational emotional support and the individual scores on depressive *** The average age of 4810 respondents was(60.56±14.613)years *** were accounted for more than half of the samples(52.6%).74.0%respondents from rural areas and approximately 63.3%of the participants had a chronic *** mean value of the CESD-10 score was 13.06(SD5.225).Both faces to face and phone contacts were protective factors on depression symptoms in the mid-aged and seniors in China(Phabiting parents in ***’s education level and income level were also reducing the risk of depression in noncohabiting ***,gender,children’s numerous,chronic disease and chronic disease number were the risk *** Intergenerational emotional support is associated with depressive symptoms in non-cohabiting parents in ***,the relationship was also affected by

关键词： Depression Inter-generational support Affective interaction Emotional support

CROSS-DIFFUSION INDUCED TURING PATTERNS IN A SEX-STRUCTURED PREDATOR-PREY MODEL

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International Journal of Biomathematics 2012年第4期5卷 39-61页

作者： jia LIU hua ZHOU LAI ZhaNG College of Mathematics and Physics Changzhou University Changzhou 213016 P. R. China Department of Mathematics The Technical University of Denmark DK 2800 Lyngby Denmark

In this paper, we consider a sex-structured predator prey model with strongly coupled nonlinear reaction diffusion. Using the Lyapunov functional and Leray Schauder degree theory, the existence and stability of both homogenous and heterogenous steady-states are investigated. Our results demonstrate that the unique homogenous steady-state is locally asymptotically stable for the associated ODE system and PDE system with self-diffusion. With the presence of the cross-diffusion, the homogeneous equilibrium is destabilized, and a heterogenous steady-state emerges as a consequence. In addition, the conditions guaranteeing the emergence of Turing patterns are derived.

关键词： Predator-prey model cross-diffusion turing pattern sex structure.

Bis(7)-tacrine protects retinal ganglion cells against excitotoxicity via NMDA receptor inhibition

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International Journal of Ophthalmology(English edition) 2011年第2期4卷 125-130页

作者： Zu-hai Zhang, jia-hua Fang Department of Ophthalmology the First Hospital of Jingzhou Yangtze University Jingzhou 434000 Hubei Province China Wuhan Institute of Neuroscience & Drug Research Jianghan University Wuhan 430056 Hubei Province China Department of Ophthalmology Union Hospital Tongji Medical College Huazhong University of Science and Technology Wuhan 430022 Hubei Province China

AIM: To investigate whether bis (7)-tacrine, a multifunctional drug, inhibits N-methyl-D-aspartate (NMDA) -activated current in retinal ganglion cells (RGC) and provides neuroprotection against retinal cell damage. METHODS: Purified RGC cultures were obtained from retinas of 1-3 days old Sprague-Dawley (SD) rats, following a two-step immunopanning procedure. After 7 days of cultivation, the inhibition of NMDA-activated current by bis(7) -tacrine was measured by using patch-clamp recording techniques. In animal experiments, RGCs were damaged after intravitreal injection of NMDA (5 mu L, 40nmol) in adult rats. Bis (7)-tacrine(0.05, 0.1, 0.2mg/kg) or memantine(20mg/kg) was intraperitoneal administered to the rats fifteen minutes before intravitreally injection of NMDA. RGC damage was analyzed by histologic techniques, TUNEL and retrograde labeling techniques. RESULTS: Whole-cell patch-clamp recordings demonstrated that NMDA (30 mu mol/L) resulted in approximately -50 pA inward currents that were blocked by bis (7)-tacrine (1 mu mol/L). Histological examination and retrograde labeling analysis revealed that bis (7)-tacrine induced a significant neuroprotective effect against NMDA-induced cell damage 7 days after NMDA injection. TUNEL staining showed that pretreatment with bis(7)-tacrine was effective in ameliorating NMDA-induced apoptotic cell loss in the retinal ganglion cell layer 18 hours after injection. CONCLUSION: Bis (7)-tacrine possesses remarkable neuroprotective activities against retinal excitotoxicity through inhibition of NMDA receptors.

关键词： bis(7)-tacrine N-methyl-D-aspartate receptors excitotoxicity neuroprotection

EXPERIMENTAL STUDY OF THE NON-DARCY FLOW AND SOLUTE TRANSPORT IN A ChaNNELED SINGLE FRACTURE

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Journal of Hydrodynamics 2011年第6期23卷 745-751页

作者： CHEN Zhou QIAN jia-zhong QIN hua School of Resources and Environmental Engineering Hefei University of Technology Hefei 230009 China

The characterization of fracture rocks is always a key issue in understanding the flow and solute transport in fractured media. This article studies the solute transport in a Channeled Single Fracture （CSF）, a single fracture with contact in certain areas. The flow in a CSF often has preferential pathways and the transport in a CSF often has Break Through Curves （BTCs） with long tails. The Surface Contact Ratio （SCR）, the ratio of the contact area to the total fracture area, is an important indicator for the fracture surface roughness. To study the flow and solute transport in a CSF, a controlled physical model is constructed and a series of flow and tracer test experiments are carried out. Under our experimental conditions, the flow in a CSF is found to follow the Forchheimer equation , where and are the hydraulic gradient and the average pore velocity, respectively and and are two parameters related to the viscous and inertial flow components, respectively. Furthermore, it is found that b decreases with the decrease of SCR. For the solute transport, it is found that the BTCs often deviate from the traditional Fickian behavior, by the early-arrival and the long tailing. More interestingly, the observed BTCs often have a double-peak or a multi-peak, that would be difficult to explain using the existing transport theory such as the Advection-Dispersion Equation （ADE）. In addition, the longitudinal dispersion coefficient is found to be scale-dependent in a CSF and the relationship is of exponential type.

关键词： channeled single fracture surface contact ratio non-Darcian non-Fickian