Composite Fractional Trapezoidal Rule with Romberg Integration

The aim of this research is to demonstrate a novel scheme for approximating the Riemann-Liouville fractional integral operator.This would be achieved by first establishing a fractional-order version of the 2-point Trapezoidal rule and then by proposing another fractional-order version of the(n+1)-composite Trapezoidal rule.In particular,the so-called divided-difference formula is typically employed to derive the 2-point Trapezoidal rule,which has accordingly been used to derive a more accurate fractional-order formula called the(n+1)-composite Trapezoidal rule.Additionally,in order to increase the accuracy of the proposed approximations by reducing the true errors,we incorporate the so-called Romberg integration,which is an extrapolation formula of the Trapezoidal rule for integration,into our proposed approaches.Several numerical examples are provided and compared with a modern definition of the Riemann-Liouville fractional integral operator to illustrate the efficacy of our scheme.

Ice-Class Propeller Strength and Integrity Evaluation Using Unified Polar ClassURI3 Rules

A systematic method was developed for ice-class propeller modeling,performance estimation,strength and integrity evaluation and optimization.To estimate the impact of sea ice on the propeller structure,URI3 rules,established by the International Association of Classification Societies in 2007,were applied for ice loading calculations.An R-class propeller(a type of ice-class propeller)was utilized for subsequent investigations.The propeller modeling was simplified based on a conventional method,which expedited the model building process.The propeller performance was simulated using the computational fluid dynamics(CFD)method.The simulation results were validated by comparison with experimental data.Furthermore,the hydrodynamic pressure was transferred into a finite element analysis(FEA)module for strength assessment of ice-class propellers.According to URI3 rules,the ice loading was estimated based on different polar classes and working cases.Then,the FEA method was utilized to evaluate the propeller strength.The validation showed that the simulation results accorded with recent research results.Finally,an improved optimization method was developed to save the propeller constituent materials.The optimized propeller example had a minimum safety factor of 1.55,satisfying the safety factor requirement of≥1.5,and reduced the design volume to 88.2%of the original.

Extrapolation Method for Cauchy Principal Value Integral with Classical Rectangle Rule on Interval

In this paper,the classical composite middle rectangle rule for the computation of Cauchy principal value integral(the singular kernel 1=(x-s))is discussed.With the density function approximated only while the singular kernel is calculated analysis,then the error functional of asymptotic expansion is obtained.We construct a series to approach the singular point.An extrapolation algorithm is presented and the convergence rate of extrapolation algorithm is proved.At last,some numerical results are presented to confirm the theoretical results and show the efficiency of the algorithms.

INTERPOLATORY QUADRATURE RULE FOR EVALUATION OF CERTAIN SINGULAR INTEGRALS

In this paper, we introduce a quadrature rule for the numerical evaluation of certain hyper singular integrals. The rule is obtained by using Hermite interpolation polynomial. Error bound is also made.

A QUADRATURE RULE FOR HADAMARD FINITE PART INTEGRALS

Finite part integrals introduced by Hadamard in connection with hyperbolic partial differential equations,have been useful in a number of engineering applications.In this paper we investigate some numerical methods for computing finite-part integrals.

Solving Linear Fredholm-Stieltjes Integral Equations of the Second Kind by Using the Generalized Midpoint Rule

In this paper, the approximate solution to the linear fredholm-stieltjes integral equations of the second kind （LFSIESK） by using the generalized midpoint rule （GMR） is introduced. A comparison resu｜ts depending on the number of subintervals ＂n＂ are calculated by using Maple 18 and presented. These results are demonstrated graphically in a particular numerical example. An algorithm of this application is given by using Maple 18.

The Rectangle Rule for Computing Cauchy Principal Value Integral on Circle

The classical composite rectangle (constant) rule for the computation of Cauchy principle value integral with the singular kernel is discussed. We show that the superconvergence rate of the composite midpoint rule occurs at certain local coodinate of each subinterval and obtain the corresponding superconvergence error estimate. Then collation methods are presented to solve certain kind of Hilbert singular integral equation. At last, some numerical examples are provided to validate the theoretical analysis.

Fuzzy Henstock-Kurzweil Triple Integral

In this article, we use the Hausdorf distance to treat triple Simpson’s rule of the Henstock triple integral of a fuzzy valued function as well as the error bound of the method. We also introduce δ-fine subdivisions for a Henstock triple integral and numerical example is presented in order to show the application and the consequence of the method.

Integrated Green Prevention and Control Techniques for Kiwifruit Canker Disease in "Guichang" Kiwifruit in Xiuwen County, Guizhou Province

Kiwifruit canker disease seriously affects the yield and quality of"Guichang"kiwifruit in Xiuwen County,Guizhou Province.In order to scientifically,safely,greenly and efficiently prevent and control the disease,theory was combined with prevention and control techniques to optimize existing prevention and control techniques,so as to improve the production yield and quality of kiwifruit.Specifically,biocontrol strains targeting local kiwifruit canker disease were screened,and reduced and mixed use of agrochemicals with improved efficiency was studied;and the effects and application techniques of disease resistance inducers and bioorganic fertilizers in inducing systemic disease resistance in kiwifruit trees were explored,and finally,an integrated green prevention and control scheme for kiwifruit canker disease that is suitable for kiwifruit production areas in Guizhou Province and has strong operability was proposed.This study provides technical support for green,efficient,standardized production technical services and sustainable and healthy development of kiwifruit industry.

习近平法治思想指导下国内法治与涉外法治的统筹推进——基于中国式现代化法治国家的构建视角

作为新时代习近平法治思想的重要组成部分,统筹推进国内法治与涉外法治是在准确把握国际国内两个大局的基础上,又立足法治中国建设的实践进程和面临的风险挑战,为更好地维护国家主权、安全和发展而提出的,对中国式现代化法治国家构建有着积极作用。既符合时代发展逻辑,更能加快法治中国建设步伐,有助于国际法治朝着良性轨道发展,是内蕴开放性、包容性和多元性理念的关键选择。统筹推进国内法治与涉外法治,应当在习近平法治思想指导下,以党的二十大精神为指引,以构建中国式现代化法治国家为出发点和落脚点,以厘清国内法治与涉外法治间的相互关系为基本逻辑,以明晰与完善国内国际双重法律规制为具体实践路径。不仅要重点解决国内法治与国际法治的良性对接问题,完善国内法律体系以应对国际法治变革,更要认真审视国际法律规范在我国域内的适用,积极推动国际法规则的发展演进。

"中国式法治现代化"的语义和意义分析

对“中国式法治现代化”进行语义和意义分析,是深化、拓展和创新中国式法治现代化研究的基础性学理性创造性工作。以习近平新时代中国特色社会主义思想的世界观和方法论为指导,以习近平总书记的“中国式现代化理论”为研究范式,对“式”这一经典概念的本原语义和意义进行考察分析,对中国共产党人话语谱系中的“中国式”“中国式……”进行梳理分析,对“中国式现代化”这一科学概念和理论命题及其重大意义进行深度分析,对“中国式法治现代化”进行拓展研究,着力论述其作为法治现代化新范式的“资质”“条件”和“意义”。在上述语义和意义分析的基础上,本文提出了一个关于“中国式法治现代化”的初步定义。

加强涉外法治体系建设的顶层擘画——论学习贯彻习近平总书记重要讲话精神

习近平总书记在中央政治局第十次集体学习时就加强涉外法治建设所作系列重要论述,是马克思主义法治理论中国化的最新成果。“长远所需”和“当务之急”,凸显了新形势下加强涉外法治建设的重要性和紧迫性。中国涉外法治建设成就巨大、来之不易,但仍存在不少短板弱项,亟待弥补。我国海外利益全方位多层次高速度拓展,外部法律风险与挑战前所未有,干涉与反干涉、制裁与反制裁外交斗争激烈,客观上要求强化法治思维,善用法治方式,“以法斗法”“以法制法”,丰富外交斗争法律“工具箱”,一体推进涉外立法、执法、司法、守法和法律服务,形成涉外法治工作大协同格局。必须坚持统筹推进国内法治和涉外法治,不断完善涉外法治体系和能力建设,为中国式现代化行稳致远营造有利法治条件和外部环境。

一体化与统纪化:“儒法国家”,抑或大国礼治?

“儒法国家”作为概括中国秦汉以后政治系统特质的既有模式,没有充分估量礼治对于中国国家结构的奠基意义,易于呈现为古今断裂的历史政治叙事。周礼所开启的中心统合主义原理展现为一体化与统纪化。一体化包含了统治权力一体化、族群伦理一体化、家国经济一体化,由周礼中的分封、宗法和井田开其端,深刻影响了郡县大一统的制度体系。统纪化是指礼治秩序精神的历史性延续,分别呈现为生统、宗统和治统,三统相系相维而不断推进一体化进程。正是大国礼治所展现出的一体化和统纪化,使我们在面临秩序危机的时候赓续了大一统国家的基本结构,在进一步推进族群、经济和治理层级深度融合的进程中完成了文明古国的现代转化。

“三治融合”视域下乡村“积分制”治理运行机制研究——基于四川省Y村的个案研究

“三治融合”是宏观层面对乡村治理的政策指引,乡村“积分制”治理正是“三治融合”理念的应用。文章以“三治融合”理念为视角,基于治理组织、治理工具、治理目标三个维度构成的治理逻辑,分析论证“三治融合”理念和乡村“积分制”治理运作机理的同一性;依据治理逻辑和运作机理,构建由起始动力机制、协调助力机制和激励保障机制形成的乡村“积分制”治理实践运行机制;通过把握乡村“积分制”治理实践运行机制,提出从构建多元治理主体协同参与的共建共治格局、运用制度和技术工具、建立因地制宜的积分评价考核机制和激励政策等方面优化完善乡村“积分制”治理,以期推动乡村治理方式的创新化发展。

“三治融合”何以赋能农村集体公益设施建设和管护——基于内生动力的视角

内生动力不足是困扰农村集体公益设施建设和管护的重要因素。文章以西安市长安区四皓村美丽乡村建设为例,分析“三治融合”如何激发内生动力进而赋能农村集体公益设施建设和管护:首先,“三治融合”构成的农村“现代公共规则”与农村发展内生动力中的认同、参与、资源等基本要素相嵌合;其次,以党组织为核心的组织机构,通过“三治融合”的治理模式,形成内外部力量的有效互动,构建不同价值的双重循环,搭建个体与集体间的利益关联,产生农村集体公益设施建设和管护中的内驱力;最后,乡村公共事务治理不能仅依赖外部力量的介入,内外力量的互动是农村发展过程中内生动力生成的逻辑前提,构建村民个体与村社共同体的关联和认同是关键。

自然保护地综合行政执法的实践样态、困境与优化路径

统筹配置自然保护地执法职能和执法资源,推进生态环境和自然资源保护综合行政执法,是促进自然保护地治理体系和治理效能现代化的重要举措。通过规范分析和实证分析发现,自然保护地综合行政执法改革在体制、机制和制度等方面呈现不同的实践样态,并逐步向综合生态系统管理、一体化保护系统治理和构建最严法治保障体系转型。但是,自然保护地内多元主体的利益博弈和协作不畅加剧自然保护地综合行政执法的复杂性和困难性,需重视和破解重立法轻执法、重管理轻治理、重权力行使轻权力监督的“三重三轻”治理困境。为全面推进以国家公园为主体的自然保护地体系建设,需要以人与自然和谐共生的多元共治原则为指引,依法授予自然保护地管理机构一定的执法权,规范自然保护地综合行政执法与司法协同合作并向全过程执法延拓,通过多元执法方式和智能化治理来推动自然保护地治理转型与法治优化。

数字法治时代背景下复合型人才培养研究

随着数字化时代的到来,数字法治作为现代法治的新形态,对法律职业的影响日益显著。数字法治通过数据驱动、技术赋能、平台化管理和智能化服务等特征,正在重塑法律实践的时空场景、方法手段及功能作用。在此背景下,复合型法治人才的培养成为法学教育的重要任务。通过跨学科课程体系的构建、复合型师资队伍的培育、实践教学模式的创新以及国际化培养途径的探索,培养具备法律专业知识与数字技术应用能力的复合型法治人才,以适应数字法治时代的复杂性和多变性。

乡村社会“三治融合”的实践逻辑——基于社会基础视角的分析

通过自治、法治与德治相融合以实现乡村善治是具有中国特色的社会治理实践。借助社会基础的视角,可以深化对乡村“三治融合”实践逻辑的认识与理解。在结构转型背景下,乡村社会基础的变化会制约自治、法治与德治的作用发挥与相互融合。多地乡村通过机制创新来利用乡土熟人社会的资源,增强对个人行为的引导和约束,扩大乡村治理的社会参与,从而激活和培育了新的社会基础。凭借社会基础的支持与保障,法律和道德实施获得充分的社会助力,乡村社会内生秩序的维系和生产能力也得以增强。对于乡村“三治融合”实践探索的分析,揭示出激活和培育社会基础对实现乡村善治的重要意义,此外还需要注重法治的规范、引领与保障作用。

马铃薯节水灌溉技术研究进展

马铃薯是我国第四大粮食作物,马铃薯高效生产对保障国家粮食安全具有重要意义。马铃薯需水量大,生育期间的降水量无法满足其正常水分需求,因此对灌溉水的依赖度高。然而,我国淡水资源短缺,马铃薯生产中存在灌溉水管理粗放、节水灌溉制度不合理、水分利用效率低等问题,亟需探索马铃薯节水高效灌溉技术体系。本文从需水规律、灌溉方式、灌溉制度等方面综述了马铃薯灌溉技术的研究现状和存在的问题,对我国马铃薯节水灌溉技术需要进一步研究的问题进行了展望,以期丰富马铃薯高效用水理论,为马铃薯稳定生产提供技术支撑。

中国式法治现代化理论在高校思政教育中的融入策略探析

在中国特色社会主义建设的伟大实践中,我国逐渐形成了具有中国特色的法治现代化理论。这一理论不仅为我国法治建设提供行动指南,也为高校思政教育提供了丰富的教学资源。高校作为培养社会主义建设者和接班人的重要阵地,应积极探索将中国式法治现代化理论融入思政教育的有效途径,以提升学生的法治素养,培养具备法治意识的新时代青年。为此,应对中国式法治现代化理论与高校思政教育现状以及中国式法治现代化理论融入高校思政教育的必要性展开研究,总结中国式法治现代化理论在高校思政教育中的融入策略,不断提高高校法治教育质量,努力培养具备高度法治素养的新时代大学生。