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Orbital Stability of Peakons for the Modified Camassa–Holm Equation

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Acta Mathematica Sinica,English Series 2022年第1期38卷 148-160页

作者： ji li School of Mathematics and Statistics Huazhong University of Science and TechnologyWuhan 430074P.R.China

In this paper,we investigate the orbital stability of the peaked solitons(peakons)for the modified Camassa–Holm equation with cubic *** consider a minimization problem with an appropriately chosen constraint,from whi... 详细信息

关键词： Stability peaked solitary waves modified Camassa–Holm equation variational problem concentration compactness

Pilot study on bromate reduction in ozonation of water with low carbonate alkalinities by carbon dioxide

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Journal of Environmental Sciences 2011年第9期23卷 1491-1496页

作者： ji li li Zou Lulu Guo jialin ji Harbin Institute of Technology Shenzhen Graduate School Shenzhen 518055 China

A pilot study was carried out to explore the application of carbon dioxide for pH depression in a bubble column and its ability to inhibit bromate formation for water with a low *** showed that in the absence of ammonia,CO 2 was capable of reducing bromate 38.0%–65.4% with one-unit pH *** 2 caused a slightly lower bromate reduction （4.2%） than did H 2 SO 4 when the pH was depressed to 7.4,and a more a pronounced lower reduction （8.8%） when the pH was depressed to *** the presence of 0.20 mg/L-N ammonia,bromate was largely inhibited with 73.9% *** the pH was depressed to 7.4,CO 2 and H 2 SO 4 showed an 11.3% and 23.5% bromate reduction respectively,demonstrating that the joint use of CO 2 and ammonia might be a plausible strategy of blocking all three bromate formation *** 2 could be applied through the aeration diffuser together with ozone gas,resulting in a similar bromate reduction compared with the premixing method through Venturi mixer.

关键词： ozone bromate carbon dioxide

Existence of Diffusion Orbits in a Lattice System

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Acta Mathematica Sinica,English Series 2013年第6期29卷 1075-1088页

作者： ji li Department of Mathematics Nanjing University

We study a model which is a periodic lattice system with nearest neighbors coupling. Using the variational methods, we show the existence of diffusion orbits under a generic perturbation of time periodic.

关键词： Hamiltonian system lattice system Aubry-Mather theory variational methods

基于教学评一体的小学语文作业设计与实施策略

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黄冈师范学院学报 2025年第1期45卷 58-62页

作者：李继林洛阳市涧西英语学校河南洛阳471003

作业设计与实施的质量是评价教学成效的关键指标,同时也是培养学生核心素养的关键要素。在当前小学语文作业设计实践中,存在着对“学”的主体性忽略、对“学”的全程性忽视、对“学”的差异性缺失以及对“评”的效能性丧失等问题。基于... 详细信息

作业设计与实施的质量是评价教学成效的关键指标,同时也是培养学生核心素养的关键要素。在当前小学语文作业设计实践中,存在着对“学”的主体性忽略、对“学”的全程性忽视、对“学”的差异性缺失以及对“评”的效能性丧失等问题。基于教学评价一体的理论框架,本研究以生为本,以目标为导向,以差异性为关键,提出紧扣单元目标,聚焦单元作业整体性;着眼全程陪伴,扩大作业辐射力;丰富作业形式,助力核心素养培养;优化多元评价,提升学生目标感等实施路径,旨在持续提升作业设计与实施的有效性。

关键词：小学语文作业设计教学评一体策略

基于BAFF介导的NF-κB非经典信号通路探讨梅花生津饮对干燥综合征模型小鼠的治疗机制

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江苏中医药 2025年第1期57卷 67-73页

作者：李奇玮王燕李冀黑龙江中医药大学研究生院黑龙江哈尔滨150040 宁夏医科大学中医学院宁夏银川750004

目的:基于B细胞活化因子(BAFF)介导的核因子(NF)-κB非经典信号通路探讨梅花生津饮对干燥综合征(SS)模型小鼠的作用机制。方法:选择杂交型小鼠中的非肥胖性糖尿病型(NOD)/Ltj小鼠作为SS疾病模型动物,同时应用与之遗传背景相似的C57BL/6... 详细信息

目的:基于B细胞活化因子(BAFF)介导的核因子(NF)-κB非经典信号通路探讨梅花生津饮对干燥综合征(SS)模型小鼠的作用机制。方法:选择杂交型小鼠中的非肥胖性糖尿病型(NOD)/Ltj小鼠作为SS疾病模型动物,同时应用与之遗传背景相似的C57BL/6小鼠作为健康模型动物。将NOD小鼠随机分为模型组、硫酸羟氯喹组(每日给药量0.07 g/kg)和梅花生津饮低剂量(每日给药量11.11 g/kg)组、中剂量(每日给药量22.23 g/kg)组、高剂量(每日给药量44.46 g/kg)组,每组6只,另取6只C57BL/6小鼠为正常组。各组每日灌胃给予相应药物,模型组与空白组每日灌胃给予等量蒸馏水,均每日1次,连续6周。采用蛋白质免疫印迹法(Western blot法)检测各组小鼠颌下腺组织BAFF、B淋巴细胞刺激因子受体(BAFFR)、IκB激酶-α(IKKα)、NF-κB2(p52)、B淋巴细胞瘤-2基因(Bcl-2)蛋白的表达;采用实时荧光定量逆转录聚合酶链反应(RT-PCR)检测各组小鼠颌下腺组织BAFF、IKKα、p52 mRNA表达水平;采用酶联免疫吸附法(EliSA法)检测各组小鼠血清趋化因子CXC配体13(CXCL13)表达水平;采用流式细胞术检测各组小鼠血清B细胞亚群的表达。结果:模型组小鼠颌下腺组织BAFF、BAFFR、IKKα、p52、Bcl-2蛋白相对表达量,BAFF、IKKα、p52 mRNA表达水平均明显高于正常组(P<0.01);硫酸羟氯喹组与梅花生津饮中、高剂量组上述指标均明显低于模型组(P<0.05,P<0.01);梅花生津饮低剂量组小鼠颌下腺组织p52、Bcl-2蛋白相对表达量,IKKα、p52 mRNA表达水平明显低于模型组(P<0.01,P<0.05);梅花生津饮中、高剂量对上述指标的改善作用与硫酸羟氯喹相当或明显优于硫酸羟氯喹(P<0.05,P<0.01)。模型组小鼠血清CXCL13含量明显高于正常组(P<0.01);硫酸羟氯喹组与梅花生津饮中、高剂量组小鼠血清CXCL13含量明显均明显低于模型组(P<0.01);梅花生津饮中、高剂量对上述指标的改善作用均明显优于硫酸羟氯喹(P<0.05,P<0.01)。模型组小鼠血清CD19^(+)、CD27^(+)CD19^(+)、CD185^(+)CD19^(+)百分比均明显高于正常组(P<0.01);硫酸羟氯喹组与梅花生津饮中、高剂量组上述指标均明显低于模型组(P<0.05,P<0.01),梅花生津饮低剂量组小鼠血清CD19^(+)、CD27^(+)CD19^(+)百分比均明显低于模型组(P<0.05);梅花生津饮中、高剂量对上述指标的改善作用与硫酸羟氯喹相当。梅花生津饮对上述各指标的改善作用均表现出一定的剂量依赖性。结论:梅花生津饮可调节CXCL13/CXCR5轴,降低对B细胞的趋化作用,影响总B细胞及记忆B细胞的比例,其可能通过BAFF介导的NF-κB非经典信号通路对干燥综合征模型小鼠发挥治疗作用。

关键词：干燥综合征梅花生津饮 NF-κB非经典信号通路血清趋化因子CXC配体13 B细胞亚群

Conditional Symmetries and Solutions to a Class of Nonlinear Diffusion-Convection Equations

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Communications in Theoretical Physics 2006年第4X期46卷 668-674页

作者： ji li-Na Center for Nonlinear Studies Northwest University Xi'an 710069 China Department of Mathematics Northwest University Xi'an 710069 China Information and Management Science College Henan Agricultural University Zhengzhou 450002 China

The present paper discusses a class of nonlinear diffusion-convection equations with source. The method that we use is the conditional symmetry method. It is shown that the equation admits certain conditional symmetri... 详细信息

关键词： symmetry nonlinear diffusion-convection equation conditional symmetry exact solution

J-selfadjointness of a class of high-order differential operators with transmission conditions

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Frontiers of Mathematics in China 2022年第6期17卷 1025-1035页

作者： ji li Meizhen XU School of Sciences Inner Mongolia University of TechnologyHohhot010051China

This paper is to investigate the J-selfadjointness of a class of high-order complex coefficients differential operators with transmission *** the Lagrange bilinear form of J-symmetric differential equations,the definition of J-selfadjoint differential operators and the method of matrix representation,we prove that the operator is J-selfadjoint operator,and the eigenvectors and eigen-subspaces corresponding to different eigenvalues are C-orthogonal.

关键词： High-order differential operator transmission conditions J-self-adjoint C-orthogonal

The Optimal Preconditioner of Strictly Diagonally Dominant Z-matrix

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Acta Mathematicae Applicatae Sinica 2008年第2期24卷 305-312页

作者： ji-cheng li Wei li Department of Mathematics Xi'an Jiaotong University Xi'an 710049 China

In this paper, we present a series of new preconditioners with parameters of strictly diagonally dominant Z-matrix, which contain properly two kinds of known preconditioners as special cases. Moreover, we prove the monotonicity of spectral radiuses of iterative matrices with respect to the parameters and some comparison theorems. The results obtained show that the bigger the parameter k is（i.e., we select the more upper right diagonal elements to be the preconditioner）, the less the spectral radius of iterative matrix is. A numerical example generated randomly is provided to illustrate the theoretical results.

关键词： Preconditioned method iteration splitting linear system

Optimal Data Transmission in Backscatter Communication for Passive Sensing Systems

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Tsinghua Science and Technology 2020年第5期25卷 647-658页

作者： Jumin Zhao ji li Dengao li Haizhu Yang the School of Information and Computer Taiyuan University of TechnologyTaiyuan 030600China the School o f Big Data Taiyuan University of TechnologyTaiyuan 030600China

Computational Radio Frequency IDentification (CRFID) is a device that integrates passive sensing and computing applications,which is powered by electromagnetic waves and read by the off-the-shelf Ultra High Frequency Radio Frequency IDentification (UHF RFID) *** RFID only identifies the ID of the tag,and CRFID is different from traditional *** needs to transmit a large amount of sensing and computing data in the mobile sensing ***,the current Electronic Product Code,Class-1 Generation-2 (EPC C1G2)protocol mainly aims at the transmission of multi-tag and minor *** a large amount of data need to be fed back,a more reliable communication mechanism must be used to ensure the efficiency of data *** main strategy of this paper is to adjust the data frame length of the CRFID response dynamically to improve the efficiency and reliability of CRFID backscattering communication according to energy acquisition and channel *** is done by constructing a dynamic data frame length model and optimizing the command set of the interface ***,according to the actual situation of the uplink,a dynamic data validation method is designed,which reduces the data transmission delay and the probability of retransmitting,and improves the *** simulation results show that the proposed scheme is superior to the existing *** different energy harvesting and channel conditions,the dynamic data frame length and verification method can approach the theoretical optimum.

关键词： uplink multi-data frame length optimization Computational Radio Frequency IDentification(CRFID) Cyclic Redundancy Check(CRC)