ISOMETRY AND PHASE-ISOMETRY OF NON-ARCHIMEDEAN NORMED SPACES

In this paper,we study isometries and phase-isometries of non-Archimedean normed spaces.We show that every isometry f:Sr(X)→Sr(X),where X is a finite-dimensional non-Archimedean normed space and Sr(X)is a sphere with radius r∈||X||,is surjective if and only if is spherically complete and k is finite.Moreover,we prove that if X and Y are non-Archimedean normed spaces over non-trivially non-Archimedean valued fields with|2|=1,any phase-isometry f:X→Y is phase equivalent to an isometric operator.

APPROXIMATION OF A CAUCHY-JENSEN ADDITIVE FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES

Using the fixed point and direct methods, we prove the Hyers-Ulam stability of the following Cauchy-Jensen additive functional equation 2f（p∑i=1xi＋q∑j=1yj＋2d∑k=1zk/2）=p∑i=1f（xi）＋q∑j=1f（yj）＋2d∑k=1f（zk）,where p, q, d are integers greater than 1, in non-Archimedean normed spaces.

基于最弱t-norm算法模糊贝叶斯网络土石坝渗漏风险分析

针对土石坝工程渗漏影响要素多,风险评估体系不完善的问题,提出一种基于最弱t-norm算法模糊贝叶斯网络的土石坝渗漏风险分析模型。首先基于土石坝渗漏破坏成因构建土石坝渗漏风险分析网络,再基于层次分析法和最弱t-norm聚合算法求解不同专家判断的相似性结果,最后将相似性结果转化为概率后代入贝叶斯理论计算水库渗漏破坏风险。以2005年英德尔水库渗漏破坏事件为例,计算得到该库渗漏破坏概率为0.08,属于不可接受风险,并通过反向诊断验证了该模型的可靠性与灵敏性优于传统算法。研究结果可为土石坝渗流风险分析与处置决策提供参考。

REFINEMENTS OF THE NORM OF TWO ORTHOGONAL PROJECTIONS

In this paper,some refinements of norm equalities and inequalities of combination of two orthogonal projections are established.We use certain norm inequalities for positive contraction operator to establish norm inequalities for combination of orthogonal projections on a Hilbert space.Furthermore,we give necessary and sufficient conditions under which the norm of the above combination of o`rthogonal projections attains its optimal value.

Functional Inequalities in Non-Archimedean Normed Spaces

In this paper, we introduce an additive functional inequality and a quadratic functional inequality in normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in Banach spaces. Furthermore, we introduce an additive functional inequality and a quadratic functional inequality in non-Archimedean normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in non-Archimedean Banach spaces.

The Aleksandrov Problem in Non-Archimedean 2-Fuzzy 2-Normed Spaces

We introduce the definition of non-Archimedean 2-fuzzy 2-normed spaces and the concept of isometry which is appropriate to represent the notion of area preserving mapping in the spaces above. And then we can get isometry when a mapping satisfies AOPP and (*) (in article) by applying the Benz’s theorem about the Aleksandrov problem in non-Archimedean 2-fuzzy 2-normed spaces.

Solution and stability of mixed type functional equation in non-Archimedean random normed spaces

The generalized stability of the Euler-Lagrange quadratic mappings in the framework of non-Archimedean random normed spaces is proved. The interdisciplinary relation among the theory of random spaces, the theory of non-Archimedean spaces, and the theory of functional equations is presented.

Regularised Layerwise Weight Norm Based Skin Lesion Features Extraction and Classification

Melanoma is the most lethal malignant tumour,and its prevalence is increasing.Early detection and diagnosis of skin cancer can alert patients to manage precautions and dramatically improve the lives of people.Recently,deep learning has grown increasingly popular in the extraction and categorization of skin cancer features for effective prediction.A deep learning model learns and co-adapts representations and features from training data to the point where it fails to perform well on test data.As a result,overfitting and poor performance occur.To deal with this issue,we proposed a novel Consecutive Layerwise weight Con-straint MaxNorm model(CLCM-net)for constraining the norm of the weight vector that is scaled each time and bounding to a limit.This method uses deep convolutional neural networks and also custom layer-wise weight constraints that are set to the whole weight matrix directly to learn features efficiently.In this research,a detailed analysis of these weight norms is performed on two distinct datasets,International Skin Imaging Collaboration(ISIC)of 2018 and 2019,which are challenging for convolutional networks to handle.According to thefindings of this work,CLCM-net did a better job of raising the model’s performance by learning the features efficiently within the size limit of weights with appropriate weight constraint settings.The results proved that the proposed techniques achieved 94.42%accuracy on ISIC 2018,91.73%accuracy on ISIC 2019 datasets and 93%of accuracy on combined dataset.

Norms of Dual Complex Vectors and Dual Complex Matrices

In this paper,we investigate some properties of dual complex numbers,dual complex vectors,and dual complex matrices.First,based on the magnitude of the dual complex number,we study the Young inequality,the Hölder inequality,and the Minkowski inequality in the setting of dual complex numbers.Second,we define the p-norm of a dual complex vector,which is a nonnegative dual number,and show some related properties.Third,we study the properties of eigenvalues of unitary matrices and unitary triangulation of arbitrary dual complex matrices.In particular,we introduce the operator norm of dual complex matrices induced by the p-norm of dual complex vectors,and give expressions of three important operator norms of dual complex matrices.

Evolution of Climate Policy in the UK before and after Brexit from the Perspective of Normative Power Theory and Its Enlightenment to China

As the host country of the 26 th United Nations Climate Conference,the United Kingdom(UK)fully carried out climate diplomacy at the conference,and intended to promote the green concept in the international community through diplomatic means,which shows its greater ambition in international climate governance.However,the UK,as the source of the Industrial Revolution,has not always followed the so-called green norms in history.In the interaction with the EU norms after joining the European Community,the UK gradually developed from an"opponent"of green norms to an"advocate"of green norms.After"Brexit",the British government did not stop at the previous green norms of the EU,and further gave the green norms a special brand of the UK on this basis.At present,during the term of Boris Johnson's government,the green norms shaped by the UK have been basically formed and disseminated within a certain mechanism.In this paper,based on the normative power theory and relevant historical facts,how the UK has shaped international norms and obtained normative power through a series of climate policy will be discussed,and some enlightenment to China's participation in the construction of international norms system today will be obtained.

Integrating the valence theory and the norm activation theory to understand consumers’ e-waste recycling intention

Electrical and electronic waste(e-waste)is a growing challenge,matching the widespread boom in the use of information and communication technology.Opposite to an alarming increasing amount of e-waste,a low rate of consumer engagement in ensuring the proper disposal of such materials intensifies the pressure on the exist‐ing e-waste crisis.To deal with this thorny problem,it is of great interest to grasp consumers’disposal and re‐cycling behavioral intentions.Therefore,this study attempts to understand complementary perspectives around consumers’e-waste recycling intention based on the integration of the valence theory and the norm activation theory.Four data mining models using classification and prediction-based algorithms,namely Chi squared automatic interaction detector(CHAID),Neural network,Discriminant analysis,and Quick,unbiased,efficient statistical tree(QUEST),were employed to analyze a set of the 398 data collected in Vietnam.The re‐sults revealed that the social support value is by far the most critical predictor,followed by the utilitarian value,task difficulty,and monetary risk.It is also noteworthy that the awareness of consequences,education background,the ascription of responsibility,and age were also ranked as critical affecting factors.The lowest influential predictors found in this study were income and gender.In addition,a comparison was made in terms of the classification performance of the four utilized data mining techniques.Based on several evalua‐tion measurements(confusion matrix,accuracy,precision,recall,specificity,F-measure,ROC curve,and AUC),the aggregated results suggested that CHAID and Neural network performed the best.The findings of this research are expected to assist policymakers and future researchers in updating all information surround‐ing consumer behavioral intention-related topics focusing on e-waste.Furthermore,the adoption of data min‐ing algorithms for prediction is another insight of this study,which may shed the light on data mining applica‐tions in such environmental studies in the future.

中国式现代化视域下数字体育伦理的现实考量及规范方略

在中国式现代化道路的引领下,数字体育已成为推动体育高质量发展的重要引擎,正加快推进体育强国建设进程,数字体育伦理问题也随着其发展的深入而日益凸显。本文从探寻中国式现代化视域下数字体育伦理的本质内涵出发,科学揭示数字体育伦理的特征,系统考量当前数字体育伦理问题,进而有针对性地提出数字体育伦理的规范方略,为数字体育在强国建设、民族复兴伟业中实现高质量发展提供借鉴与参考。

面向智慧教育的技术伦理取向与风险规约

当前,智能技术与教育的全过程融合正推动教育方式发生深刻转变,同时衍生出算法歧视、技术滥用、隐私泄露和教育主体错位等技术伦理风险,如何规避风险以最大化享受智能技术红利成为智慧教育发展的重要议题。为此,文章首先分析技术伦理相关报告文件,刻画智慧教育在智能技术、教育主体、教育数据和教育监管四个向度的技术伦理取向;然后,文章剖析“教-学-管-评-练-研”六大智慧教育典型场景下的差异化技术伦理风险表征,将其产生根源归为技术工具失信、教育实践失范和师生素养不足三个层面;最后,文章从技术升级、风险管理、问责监管、数据流动和素养提升角度给出风险防范与治理建议,助力智慧教育健康可持续发展。

村党组织书记“一肩挑”的实践逻辑与规范协同

党的领导是推进农村社会治理现代化,实现乡村振兴的根本保障与动力引擎。党的二十大明确提出:“把基层党组织建设成为有效实现党的领导的坚强战斗堡垒。”村党组织与村民委员会同为农村核心治理主体,二者关系处理是影响农村经济社会发展的关键变量。村党组织书记“一肩挑”的实施依据是《2019年中央一号文件》和《中国共产党农村基层组织工作条例》。村党组织书记“一肩挑”契合了当前农村治理衍生关系复杂性对于治理主体利益协调能力、责任服务意识与良好道德品行的客观需求,体现了党对于农村实现共同富裕与高质量发展目标的组织安排。厘清村党组织书记“一肩挑”制度的实践逻辑、内在结构与规范协同,有助于从整体架构层面廓清和完善农村社会治理体系,为其治理能力提升提供制度势能。基于功能主义视角审视,村党组织书记“一肩挑”蕴含了践行全过程人民民主理念、推进“三治融合”治理模式、实现利益协调治理效果的多重实践逻辑。结合制度文本分析,党内法规与国家法律针对村党组织书记“一肩挑”的文本表达既有耦合性与交叉性特征,也有“具体—概括”“顺序承接”“并列关联”“严格—兜底”等规范形态。但实践中,党内法规与国家法律的衔接协调不畅可能造成村党组织书记“一肩挑”主体的担当能力不足、民意基础薄弱、权力行使失范等问题。秉持立法与立规统筹、中央与地方互动、激励与监督并重原则,着力从领导规定、选举程序、民主决策以及权力监督等层面促进党内法规与国家法律的规范协同,有助于实现村党组织书记“一肩挑”的预设功能。具体而言包括:在领导规范层面,完善上级党组织领导村党组织、村党组织领导农村其他组织的规范;在选举规范层面,应将民意征集设置为村党组织书记选举必要程序,阐明村党支部书记未当选村民委员会主任的补救措施;在决策规范层面,明确应经村党组织讨论和决定的内容并优化农村民主协商的决策程序规范;在监督规范层面,应出台针对村(社)巡察专门规范并完善村务监督补充性规范。

省级中药饮片炮制规范法律属性探析

目的为省级中药饮片炮制规范法律地位的明确以及《药品管理法》中“药品标准”法律表述的立法技术完善提供参考。方法结合我国药品地方标准法律渊源,对中药饮片国家药品标准构成要件以及现行省级中药饮片炮制规范构成进行分析,同时基于法律解释的方法,对《药品管理法》中省级中药饮片炮制规范的法律内涵进行探讨。结果与结论在药品监管实务中,省级中药饮片炮制规范实质为地方药品标准,2019年新修订的《药品管理法》对药品标准进行了专门规定,但对于省级中药饮片炮制规范的药品标准法律属性并未作出规定,存在一定的立法技术瑕疵。建议在《药品管理法》修正时,对省级中药饮片炮制规范的药品标准法律属性予以明确。

医学伦理学对科技伦理治理的贡献与新作为

《关于加强科技伦理治理的意见》的出台,标志着中国科技伦理治理体系进入新阶段。中国科技伦理的研究与实践是沿着两条进路开展的。一条进路是从一般伦理原理出发,推导出具体科学和实践的规则;另一条进路是从科学研究的问题和科学技术事件和案例出发,逐步形成针对科技过程中某一类特定现象或问题的伦理治理原则与共识。医学伦理学研究也是这样形成医学道德传统和现代生命伦理学传统的。在伦理治理实践中,医学伦理走在科技伦理的前列,形成了科技伦理研究与发展的“先行区”、伦理审查建制化“探索者”和科技伦理治理的“示范区”。伦理治理意见的出台不是医学伦理治理研究的终点,医学伦理学需要有新的作为。一是对医学伦理学理论基础和方法论的再思考,坚持马克思主义理论的指导。二是对两条研究进路的再思考,两条道路平衡发展互相支撑。三是对伦理与法治关系的再思考,不断提高伦理治理法治化水平。

中国马克思主义实践哲学研究的规律论和规范论路径

中国马克思主义实践哲学研究取得很多成果,其背景是中国哲学界实践哲学研究受到重视,在马克思主义哲学及其相关研究中,实践概念受到高度重视。从一定角度看,中国马克思主义实践哲学研究有两个路径:一个是规律论的路径,一些学者重视马克思主义哲学的实践问题,重视实践与生产劳动的关系,尤其是劳动与财产的关系,重视实践和劳动在马克思主义哲学中的本体地位。这个思路重视寻求社会实践的必然规律。另外一个是规范论的路径,一些研究者重视马克思主义实践概念所包含的内在的规范意义和价值。我们引进了很多国外的研究,比如语言学转向以后,在历史唯物主义研究中,规范及其基础如何理解,需要重视话语和商谈,重视文化对实践的规范意义。这个思路重视实践的规范维度。

降阶单元的新进展:内置了最大模误差估计器的自适应有限元法初探

该文基于初值问题中降阶单元的成功实践,进一步对一般边值问题提出无需超收敛计算、无需结构化网格、无需结点位移修正的降阶单元;进而提出以降阶单元作为最终解,且内置了最大模误差估计器的自适应有限元算法。该文对这一研究进展做简要介绍,并给出一维和二维边值问题的初步算例,以展示本法的可行性、有效性和可靠性。

公众森林碳汇购买意愿影响因素研究——基于TPB—NAM整合模型

有效的碳普惠机制与森林碳汇产品的价值实现对中国生态文明的建设至关重要,理清公众森林碳汇购买意愿影响因素对森林碳汇政策的制定具有现实意义。基于计划行为理论、规范激活理论并融合生态文明思想内核,选用结构方程模型,利用515份社会公众问卷数据,实证检验了公众森林碳汇购买愿意影响因素及作用机理。结果表明:(1)公众森林碳汇购买意愿是理性和道德交互作用的结果,而非纯理性或纯道德驱动行为;(2)行为态度、感知规范和知觉行为控制都对公众森林碳汇购买意愿具有显著正向影响,但影响程度具有差异性,其中感知规范对购买意愿影响最大,因此公众环境道德素养是影响其森林碳汇购买行为的最重要因素;(3)社会公众森林碳汇购买意愿影响因素表征变量的具体作用表现不同:感知规范中,公众个体道德规范对其森林碳汇购买意愿影响最大;行为态度中,公众森林碳汇生态、政治效益认知对购买意愿影响最大;知觉行为控制中,森林碳汇信息量、森林碳汇价格等都是影响公众森林碳汇购买意愿的因素,但影响程度差异不大。

高质量教育发展背景下教育评估专业伦理规范:意蕴与维度

在推进教育治理现代化及深化教育评价改革的背景下,加强教育评估的专业化建设是推动高质量教育发展的重要驱动与保障。当前从评估专家的立场来看,在教育评估实践中存在的伦理困境主要有“一团和气”“先入为主”“居高临下”“不负责任”等四种评估,需要伦理规范来调适。教育评估专业伦理规范是评估人员在评估中需遵守的道德准则和行为规范,是评估人员在评估实践中的行动指南,以保证评估的客观公正,属于规范伦理学研究范畴。从当前国际教育评估组织制定的伦理规范来看,教育评估专业伦理规范构建需要从专业能力、责任和公正等三个维度思考。