非线性Resilient函数的构造

研究了非线性Resilient函数的构造问题。分别给出了利用Resilient函数与其分量函数之间的关系构造Resilient函数和由线性纠错码构造非线性Resilient函数,以及通过置换由线性Re silient函数得到非线性Resilient函数的方法。

Resilient函数的一种构造方法

本文推广了文献［１］中构造Ｒｅｓｉｌｉｅｎｔ函数的一种方法，得到了一个从已有的Ｒｅｓｉｌｉｅｎｔ函数构造新的Ｒｅｓｉｌｉｅｎｔ函数的一般结论，并且讨论了Ｒｅｓｉｌｉｅｎｔ函数的非线性度．

一种(n+s,m,t+s)-Resilient函数的构造(英文)

首次给出一个从2^s个已知的（n，m，t）-resilient函数构造（n＋s，m，t＋s）-resilient函数的充分必要条件．它不仅提供了一种构造二元向量输出Resilient函数的方法，而且Resiliency的阶数和Vn的维数是同步增加的，以及Resiliency的阶数的增加速度比已知的构造方法更快．进一步讨论了利用此方法构造的（n＋s）个输入，m个输出函数的非线性度和传播特征以及在特殊情况下计算它们的代数次数，得了一些有应用价值的结果．最后给出一个例子来说明此种构造方法．

有限域上的Resilient函数

文献[1]讨论了二元域上的Resilient函数,本文将Resilient函数的概念推广到一般有限域上,并对它进行了讨论,得到了它的一些性质。

A Novel Defender-Attacker-Defender Model for Resilient Distributed Generator Planning with Network Reconfiguration and Demand Response

To improve the resilience of a distribution system against extreme weather,a fuel-based distributed generator(DG)allocation model is proposed in this study.In this model,the DGs are placed at the planning stage.When an extreme event occurs,the controllable generators form temporary microgrids(MGs)to restore the load maximally.Simultaneously,a demand response program(DRP)mitigates the imbalance between the power supply and demand during extreme events.To cope with the fault uncertainty,a robust optimization(RO)method is applied to reduce the long-term investment and short-term operation costs.The optimization is formulated as a tri-level defenderattacker-defender(DAD)framework.At the first level,decision-makers work out the DG allocation scheme;at the second level,the attacker finds the optimal attack strategy with maximum damage;and at the third level,restoration measures,namely distribution network reconfiguration(DNR)and demand response are performed.The problem is solved by the nested column and constraint generation(NC&CG)method and the model is validated using an IEEE 33-node system.Case studies validate the effectiveness and superiority of the proposed model according to the enhanced resilience and reduced cost.

Renewal Needs and Solutions for Urban Old Communities under the Guidance of Resilient Security

The renewal strategy guided by resilient security aims to enhance the community’s resistance and resilience to natural disasters and other emergency situations,ensuring that the community can quickly restore normal functions in the face of shocks.By enhancing the resilience of the community,residents’sense of security and satisfaction can be improved,while promoting the long-term stability and prosperity of the city.Using methods such as literature review,case analysis,and demand investigation,this paper investigates the needs and strategies for the renewal of urban old communities,and explores the demand analysis and solutions for the renewal of urban old communities under the guidance of resilient security.This paper aims to address the lack of resilience in old communities caused by outdated construction,aging infrastructure,and insufficient public services,as well as how to improve the adaptability,resilience,and transformation ability of communities through renovation and transformation.

Principles for Designing New Types of Housing for a Strong and Resilient Local Economy in the Republic of Congo

The Congolese population is organised into households, which are thus headed by a chief who ensures the social well-being, development and integration into working life of the individuals in his charge. This study examines the functional principles of new housing design as an instrument for transforming the (current) failing economy into a strong and resilient one. Accordingly, a literature review of the practice of designing and building housing in human settlements in the Congo revealed the state of the art on this subject. An analysis of the existing housing stock from a demographic, social and economic point of view made it possible to identify the most common household sizes and numbers, as well as the lifestyle processes that determine the need for developed space. To this end, the experimental method was used to propose configuration plans for various new types of dwelling. To this end, the study highlighted the link between people’s standard of living and the effectiveness of their involvement in the local economy. To achieve the aims of the National Development Plan (NDP), particular attention must be paid to solving the housing problem. The existing housing stock actively contributes to the problems associated with unemployment and insecurity. Functional principles for the design of new types of housing have been developed. Four model types are proposed in line with the demographic structure of the population, their socio-economic characteristics and their lifestyle.

Modelling of the variation of granular base materials resilient modulus with material characteristics and humidity conditions

This study aims to quantify the susceptibility of granular materials used in pavements to changes in moisture content and propose a correlation model to incorporate this susceptibility into seasonal analyses.The fines content and the percentage of fractured coarse aggregates were identified as direct indicators of the resilient modulus susceptibility to changes in water content.The results showed that the percentage of fractured coarse aggregates particles(FR)has a more significant impact on the resilient modulus(Er)of crushed granular materials used in pavement construction than the combined indicator of the fines content and sample volumetrics(nf).Crushed granular materials with a higher percentage of fractured coarse aggregates are relatively insensitive to changes in the degree of saturation,but become more sensitive as the fine fraction porosity decreases.An adjusted model was proposed based on the existing formulation,but considers a complex parameter to describe and adjust the sensitivity of base granular materials to variations in moisture content with respect to fabrication charac-teristics,fines content and volumetric properties.The model shows that the variation of Er values is below10%for fully crushed granular materials.However,it reaches approximately±12%for materials with 75%of crushed coarse aggregates andþ40%and-25%for materials with FR=50%.This model could help select good ag-gregates characteristics and adjust grain-size distribution for environments where significant moisture content variations can occur in the pavement system,such as in the Province of Quebec(Canada).As it is based on pa-rameters that can be easily determined or estimated,it also represents a valuable tool for detailed design and analysis that can consider material characteristics.

Resilient performance of self-centering hybrid rocking walls with curved interface under pseudo-static loading

Frame and rocking wall(FRW)structures have excellent resilient performance during earthquakes.However,the concrete at interfacial corners of rocking walls(RWs)is easily crushed due to local extreme compression during the rocking process.An innovative RW with a curved interface is proposed to prevent interfacial corners from producing local damage,enhancing its earthquake resilient performance(ERP).The precast wall panel with a curved interface is assembled into an integral self-centering hybrid rocking wall(SCRW)by two post-tensioned unbonded prestressed tendons.Moreover,two ordinary energy dissipation steel rebars and two shear reinforcements are arranged to increase the energy dissipation capacity and lateral resistance.Two SCRW specimens and one monolithic reinforced concrete(RC)shear wall(SW)were tested under pseudo-static loading to compare the ERPs of the proposed SCRW and the SW,focusing on studying the effect of the curved interface on the SCRW.The key resilient performance of rocking effects,failure modes,and hysteretic properties of the SCRW were explored.The results show that nonlinear deformations of the SCRW are concentrated along the interface between the SCRW and the foundation,avoiding damage within the SCRW.The restoring force provided by the prestressed tendons can effectively realize self-centering capacity with small residual deformation,and the resilient performance of the SCRW is better than that of monolithic SW.In addition,the curved interface of the SCRW makes the rocking center change and move inward,partially relieving the stress concentration and crush of concrete.The rocking range of the rocking center is about 41.4%of the width of the SCRW.

Artificial Intelligence Based on Resilient Leadership in the Health Sector-A Secondary Publication

At present,it is impossible to deny the existence of artificial intelligence in various areas of social life,understood as the simulation of expert human intelligence from computer processes that involve learning,reasoning,and self-correction,its benefits to the medical field,in particular,are innumerable,but their incorporation into health systems has been gradual for many reasons.According to the above,this research analyzed artificial intelligence based on resilient leadership in the health sector,for which qualitative research was carried out with a documentary-bibliographic design with printed and electronic documentary sources with theoretical contributions fromÁvila,Mayer,and Quesada[1],Morgan[2],Villa[3],and Finol[4],among others.It is highlighted that resilient leadership has become a strategic factor in all organizations,since times of uncertainty and changes lead institutions to properly manage the incorporation of technologies specifically AI,achieving in this way that the centers and professionals in the field of health assume the needs of the contexts and the innovations of the same.It is concluded that resilient leadership will allow artificial intelligence in the health sector to generate higher levels of learning and adaptability to the transformations that are necessary,whose resistance would make its application difficult and in the long run it will leave behind professionals who refuse to assume the contributions of these innovative techniques in medical practice.

7元旋转对称2-弹性函数的构造

基于旋转对称轨道的数对分布矩阵的性质,给出了所有7元旋转对称2-弹性函数的具体构造。结果表明,在F_(2)^(7)上有且仅有280个非线性旋转对称2-弹性函数。进一步地,对于任意的奇数k,在F_(2)^(7k)上至少有280个非线性旋转对称2-弹性函数。

船舶有航速时三维时域格林函数计算方法研究

船舶工业CAE软件势流求解器的开发对势流计算方法的可靠性提出要求,本文针对船舶有航速时深水三维时域格林函数计算方法开展研究。首先引入三维时域自由面格林函数,其瞬时项的求解采用Hess&Smith方法,自由面记忆项的求解采用美国密歇根大学Beck团队的方法。其次,分区域推导出三维时域自由面格林函数记忆项及其导数的编程所用的数学展开表达式。然后,采用间接法模型求解分布源强和速度势,并采用压力直接积分法求出时域辐射力。最后,针对Wigley I船型开展了辐射力计算,并与公开的试验及计算结果进行对比,验证本文方法的可靠性。

数论函数方程Z(n^(2))=φe(SL(n^(2)))的可解性研究

运用初等与解析的方法,结合伪Smarandache函数、Smarandache LCM函数以及广义欧拉函数的基本性质,研究了当e∈{3,4}时,数论函数方程Z(n^(2))=φe(SL(n^(2)))的整数解情况,证明该方程无整数解。

基于多维Copula函数的澜沧江-湄公河流域气象干旱特征分析

为全面揭示变化环境下澜湄流域多维气象干旱特征,采用标准化降水蒸散指数SPEI表征流域气象干旱,基于游程理论分别提取澜沧江段和湄公河段上、中、下游流域1901—1960年和1961—2021年两个时段的干旱事件,利用Copula函数分别构建两个时段不同子流域二维和三维干旱特征变量联合分布,计算不同干旱特征变量组合条件下的干旱联合发生概率,对比分析不同子流域多维气象干旱特征的时空变化。结果表明:时间上,1961—2021年各子流域平均干旱程度均较1901—1960年更严峻,尤其是极端干旱事件(单变量累积频率为25%、50%)的多维干旱联合发生概率增幅最大;空间上,1961—2021年,随着干旱历时、烈度和烈度峰值的增加,“或”情况下多维干旱联合发生概率最高值区自北向南转移,“且”情况下多维干旱联合发生概率最高值区自南向北转移。

咸水灌溉下设施番茄水盐生产函数构建及产量预测

以新疆南部地区设施番茄品种“秦岭蔬越”为研究对象开展咸水灌溉试验,设置4个咸水矿化度,分别为T1(2 g·L^(-1))、T2(4 g·L^(-1))、T3(6 g·L^(-1))和T4(8 g·L^(-1)),以淡水灌溉为对照(CK),采用修正后的Jensen模型构建咸水灌溉条件下设施番茄水盐生产函数,估算不同矿化度咸水灌溉番茄产量。结果表明,连续灌溉高矿化度咸水导致番茄减产,初始灌溉矿化度为2~4 g·L^(-1)咸水可确保番茄产量和IWUE。大于4g·L^(-1)咸水灌溉抑制作物生长且减产严重。土壤含水率和盐分随土层深度逐渐降低,40 cm深处达到含水率峰值,盐分主要聚集在浅层且盐分含量随咸水矿化度增高;番茄耐盐能力早期较弱而后期增强,番茄不同生育期盐分敏感指数σ为苗期>开花结果期>结果盛期>结果末期。开花结果期对水分敏感性最强,水分敏感指数λ依次为开花结果期>结果盛期>苗期>结果末期;基于Jensen模型构建设施番茄水盐生产函数对产量估算精度较高,R2>0.96,可用于指导新疆南部地区设施番茄咸水灌溉管理。综合考虑咸水灌溉对番茄产量及土壤水盐变化,建议新疆南部地区设施番茄微咸水滴灌最优方案为:在非连续咸水灌溉条件下,苗期、开花结果期采用淡水充分灌溉,结果盛期、结果末期采用亏缺灌溉和咸水矿化度为2~4g·L^(-1)的微咸水灌溉组合。通过构建咸水灌溉条件下设施番茄水盐生产函数,为作物水盐精准管理及咸水资源安全利用提供理论依据。

一种优化开关磁阻电机换相区控制策略的高效率转矩分配函数

转矩分配函数被广泛应用于抑制开关磁阻电机的转矩脉动。然而,输入相转矩跟踪不足或者输出相产生较大的负转矩这两种情况通常会导致电机的转矩脉动难以得到有效抑制,并降低电机的运行效率。因此,为了能够有效降低电机的转矩脉动并提高电机的效率,提出了一种新型的转矩分配函数控制策略。在提出的转矩分配函数控制策略中,电机的换相区域分为两个区域。在前一区域中,通过降低输入相转矩分配的比例,可以实现输入相实际转矩快速跟踪参考转矩,电机的转矩脉动有效降低。同时由于在输入相电感变化率较低时减少输入相分配的转矩,从而输入相的峰值电流随之降低,电机的转矩电流比提高。在后一区域中,将输出相的电流在转子对齐位置附近处减小到0,以避免产生较大的负转矩。因此,在所提出的方案下,电机的转矩脉动得到有效抑制,电机的效率也得到了提高。为了验证该方法的有效性,在一台12/8三相开关磁阻电机上进行了仿真和实验。结果表明,所提出的转矩分配函数控制策略能有效降低开关磁阻电机转矩脉动,也能有效地提高开关磁阻电机的运行效率。

基于正弦函数拟合的高动态捷联惯导姿态更新算法

为提高捷联惯导在高动态条件下的姿态解算精度,基于等效旋转矢量泰勒级数展开法,提出一种基于正弦函数拟合的高动态捷联惯导姿态更新算法。以正弦函数拟合载体运动角速度,考虑Bortz方程高阶项的影响,对陀螺角增量表示的旋转矢量进行泰勒六阶展开,对比旋转矢量不同形式表达式求得误差补偿系数。在MATLAB平台上,以圆锥运动与大角速率转动并存环境作为仿真条件,对所提算法与传统算法进行对比仿真分析。仿真结果表明,在小半锥角低频圆锥运动伴随高速角速率转动情况下,所提算法性能较好,当半锥角为0.5°、角频率为2.26πrad/s、常值角速率为5.30 rad/s、姿态解算周期为0.02 s时,所提正弦函数拟合三子样旋转矢量算法与传统扩展形式频率级数/显示频率三子样圆锥算法相比误差降低了2个数量级。

思政元素融入复变函数与积分变换课程的教学案例研究

为培养新时代中国社会主义的建设者和接班人,贯彻落实立德树人的根本任务,在复变函数与积分变换的教学过程中自然地融入课程思政元素,建立该课程的课程思政教学案例库是势在必行的。首先,深入挖掘思政元素与数学专业知识的结合点。其次,对线上线下混合教学模式进行课程思政设计。最后,形成适合本课程的课程思政教学案例。通过对课程思政案例的教学实践,教育引导学生成为热爱祖国、富有理想、视野宽广、德才兼备的创新型人才。

基于自适应速度趋势函数的约束层速度反演方法

论文研究了复杂构造区初始层速度约束反演问题。首先得出初始层速度模型的精度对偏移速度建模的质量和迭代稳定尤为重要,常规方法在构造复杂区使初始速度模型产生的误差易导致最终偏移速度模型地质意义失真、真实构造特征掩盖等问题。提升初始速度模型与地下地质特征的匹配和精度成为关键。基于此,论文提出了基于自适应速度趋势函数的约束层速度反演方法。在常规方法的基础上,利用复相关法在时间域剖面上获得地质构造的连续性与变化,并将其作为构造响应算子形成针对性的影响域和权重融入速度趋势函数中,使该函数自适应地质构造特征,提升初始速度模型的精度。再通过对基准速度和速度趋势对深度的梯度进行样条拟合,构建趋势函数的全局高频异常约束,有效预防在构造突变区产生异常高频,进一步增强算法的稳健和可靠性。理论模型和实际数据的测试,验证了本文方法的有效性,反演得到的层速度模型更符合地质规律,并能更好地解决构造复杂区层速度模型的连续性问题,有利于提高复杂构造叠前深度偏移成像精度。

基于混合势函数的永磁同步风力发电机暂态稳定性分析

永磁同步发电机(permanent magnetic synchronous generator,PMSG)作为海上风力发电的主要设备,是风电技术的重要发展方向。然而,PMSG在运行过程中,受到大扰动干扰会导致其暂态稳定性下降。因此,针对PMSG风机大扰动下的暂态稳定性阈值难以判定的问题,本文基于混合势函数理论,建立了PMSG风机系统简化后的混合势函数模型,并推导出PMSG风机在大扰动后的暂态稳定判据。通过仿真后的网侧电流波形和网侧功率波形验证了暂态稳定判据的准确性,并调整各参数数值以分析PMSG风机暂态稳定性与风机参数、故障深度、故障时间和风速的关联性。