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.

Research on the Legal Framework of Content Regulations for Network Platforms

In the era of the Internet,various network platforms have evolved into new hubs for information dissemination.Currently,China has established a platform-centered content regulation framework,wherein platforms proactively enforce content regulations in accordance with legal censorship obligations.Additionally,platform policies and user agreements augment their authority in content regulation.The platforms can achieve cost-effective and highly efficient content regulation by leveraging their strategic advantages enabled by their own technical capabilities and extensive coverage.The platform self-regulation model,however,still faces challenges.First,accurately evaluating content remains a formidable task;second,ensuring effective platform publicity through self-regulation poses difficulties;third,users may potentially face disadvantages due to the platform’s right of self-regulation;and fourth,digital copyright owners face challenges when defending digital copyright disputes under the safe harbor rule.Therefore,it is imperative to establish,review,and revise the legal framework for content regulation of network platforms in order to enhance the efficiency of their governance systems.The formulation of the legal framework for content regulation of network platforms may encompass the following aspects:rationalizing obligations pertaining to platform content regulations,enhancing supervision over platform self-regulation,and establishing a dual-track responsibility system for digital copyright content regulation.This will ensure a harmonious balance among public interests,users’personal rights and interests,and commercial benefits through regulating the content on network platforms.

The Barrier of the Child and Parent Expected Models for Entering the School System-A Secondary Publication

The recognition of the positive value of student diversity and their right to full participation are key aspects of inclusion as a means of managing heterogeneity of the school population from an equality perspective.As the school cannot welcome the diversity of children without including their families,the same logic needs to apply to the relationship between the school and parents,particularly in the current environment where the school-family partnership appears as a privileged institutional leverage in the fight against inequalities at school.Based on an ethnographical study exploring how the relationship between the school and the families builds up in a Swiss school located in a context of strong cultural diversity,this paper interrogates how the school norm can be the main limitation to the inclusion of students and parents who are unfamiliar with the school.Derived from field observations and interviews,our results show how the teachers tend to approach their relationship with new students and their parents from the standpoint of narrowly defined expected models,leading them to engage in a vain attempt to conform the students and parents when they deviate from these models.The possibility of entering the school system for students and parents unfamiliar with school is hindered by the exclusive and excluding normativity on which the models of the child and the parent expected by the teachers are grounded.Based on these observations,we discuss how an inclusive approach seems to us to require in the first place a necessary process of decentering from the school and teachers,as a condition for recognition of the actual child and parent.

Construction of Legal System of China's Farmland Protection under the Coexistence of Multiple Objectives:Historical Logic,Practical Problems and Optimization Paths

[Objectives]To explore the evolution of the legal system of farmland protection and explore the rules and characteristics of policy development based on the theory and logic of institutional change since China's reform and opening up,reveal the problems and deep-seated reasons of its legislation,clarify the direction of farmland protection in the new period,and solve the"non-agricultural""non-grain"and ecological problems of farmland.[Methods]Literature analysis and inductive deduction methods were used.[Results]The evolution of the farmland protection legal system has gone through the process of"national consciousness-policy guidelines-institutional system",the change from"single subject to multiple subjects";change from the use of"one-way administrative means to coordinated use of administrative,economic and technical means".The practical problems of the farmland protection legal system are mainly due to the insufficient systematization of the farmland protection legal system itself,the generalization of quantity protection,the transformation of quality protection,and the absence of ecological protection.[Conclusions]It is recommended to improve the existing farmland protection legal system from the establishment of the Farmland Protection Law,the improvement of the farmland protection public participation mechanism and supervision mechanism,the establishment of the farmland quality construction and improvement system,the differentiated farmland occupation and supplementation balance system,and the ecological restoration system.

Improvement of the Legal System for Addressing the Issue of Elderly Care in China in the Context of Population Aging

Rapid population aging is a social reality facing China at present,and the issue of elderly care has become a hot topic of social concern.Legislation to address the issue of elderly care in the context of population aging should follow systematic concepts to achieve“vertical and horizontal integration.”In terms of content,it is necessary to formulate specific legal approaches around“the elderly and children,”with a focus on guaranteeing the livelihood and protection of the rights of the elderly while taking into account childbirth,employment and other issues.the laws should not only safeguard the social participation and labor rights of the elderly,but also effectively respond to the social challenges brought about by the aging of the population.It is also necessary to optimize the family planning policy to ease the burden of child-raising,improve the population structure and promote the long-term balanced development of the population,thus fundamentally solving the problem of population aging.the effort to improve the legal system to deal with the issue of elderly care in the context of population aging will better advance Chinese modernization.

Parameters Optimization and Performance Evaluation of the Tuned Inerter Damper for the Seismic Protection of Adjacent Building Structures

In order to improve the seismic performance of adjacent buildings,two types of tuned inerter damper(TID)damping systems for adjacent buildings are proposed,which are composed of springs,inerter devices and dampers in serial or in parallel.The dynamic equations of TID adjacent building damping systems were derived,and the H2 norm criterion was used to optimize and adjust them,so that the system had the optimum damping performance under white noise random excitation.Taking TID frequency ratio and damping ratio as optimization parameters,the optimum analytical solutions of the displacement frequency response of the undamped structure under white noise excitation were obtained.The results showed that compared with the classic TMD,TID could obtain a better damping effect in the adjacent buildings.Comparing the TIDs composed of serial or parallel,it was found that the parallel TIDs had more significant advantages in controlling the peak displacement frequency response,while the H2 norm of the displacement frequency response of the damping system under the coupling of serial TID was smaller.Taking the adjacent building composed of two ten-story frame structures as an example,the displacement and energy collection time history analysis of the adjacent building coupled with the optimum design parameter TIDs were carried out.It was found that TID had a better damping effect in the full-time range compared with the classic TMD.This paper also studied the potential power of TID in adjacent buildings,which can be converted into available power resources during earthquakes.

The Effects of Competence and Auditor Training on Fraud Detection Within Multinational Companies in Sub-Saharan Africa

The aim of this study is to examine the qualities that auditors engaged in detecting potential fraud within multinational corporations in Sub-Saharan Africa should possess.To achieve this goal,a quantitative approach was used to develop and test a research model based on three theories:agency theory,attribution theory,and cognitive dissonance theory.Responses from a panel of two hundred and nine(209)auditors who conducted a legal audit mission in a Sub-Saharan multinational were analyzed using SmartPLS 3.3.3 software.The results emphasize the crucial importance of auditors’competence and continuous training in fraud detection.However,professional skepticism and time pressure were found to be non-significant in this context.This conclusion provides essential insights for auditors,highlighting the key qualities needed to effectively address fraud detection within multinational corporations in Sub-Saharan Africa.

Analysis of Standards and Effects of Police Indirect Court of Human Rights——Taking“Akbay and Others v.Germany”as an Example

The European Court of Human Rights(ECtHR)has ruled that illegal indirect entrapment must meet three criteria simultaneously.This mixed standard requires that the previous direct entrapment violates the“essentially passive,”subsequent indirect entrapment satisfies the“reasonable foreseeability,”and police entrapment of secondary defendants to commit crimes is considered“decisive.”The legal consequences of indirect entrapment are distinguished between general indirect entrapment and illegal indirect entrapment.The basic position of the ECtHR on the consequences of illegal indirect entrapment has shifted from supporting mitigating penalties to recognizing procedural dismissal,and general indirect entrapment is considered a mitigating factor in sentencing.Against the backdrop of increasing internationalization of criminal justice standards,the above criteria and positions have strong implications for the improvement of relevant rules in China.

Hierarchical Media Ethics in the Digital Age: An Analysis of the “Primary School Student Lost Homework in Paris” Incident

In the digital age,traditional media ethics norms lack sufficient explanatory power and binding force in practice.This paper uses the“Primary School Student Lost Homework in Paris”incident as a case study to explore the ethical controversies surrounding the dissemination of this event.By adopting a hierarchical media ethics perspective,the paper dynamically examines the ethical conduct of various communicators,elucidates the ethical responsibilities of each party involved,and reveals the complexity of communication ethics in the digital age.

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.

Legal Protection of Human Rights in the Digital Era

Xi Jinping,General Secretary of the Communist Party of China(CPC)Central Committee said that“We should insist that everyone is equal before the law,respect and protect human rights throughout all aspects of legislation,law enforcement,ju-diciary,and law-abiding,accelerate the improvement of a legal system that reflects fairness in rights,opportunities,and rules,so as to protect citizens’personal rights,property rights,and personality rights,to guarantee citizens’basic political rights such as participating in democratic elections,democratic consultations,democratic decision-making,democratic management,and democratic supervision,and to protect citizens’rights in various aspects such as economy,culture,society,and environment,continuously enhancing the protection of human rights based on the rule of law.”

Impact of Mandatory Provisions on the Validity of Juristic Acts: A Path for Legal Policy Analysis

Contrary to the approach in judicial practice,Paragraph 1,Article 153,of the Civil Code of the People’s Republic of China,as a rule of invalidity for violating mandatory provisions,does not adopt a dichotomy towards mandatory provisions with effectiveness and administrative characteristics,yet it maintains the legislative philosophy of differentiation.It leaves unspecified whether mandatory provisions that do not explicitly render a juristic act invalid impact the act’s validity,entrusting this determination to the discretion of judges on a case-by-case basis.When judges,under the authority of Paragraph 1,Article 153 of the Civil Code,explore the normative intent of mandatory provisions to assess their effect on the validity of juristic acts,they should engage in legal policy analysis centered on consequence-based argumentation to overcome the limitations of norm typological analysis.This analysis employs a reasoning model predicated on the normative purpose,utilizing a consequencefocused interpretative approach for formulating and arguing propositions of rules applicable to pending cases,thereby arriving at case-specific conclusions.Since the invalidation of juristic acts serves as an auxiliary regulatory tool for the state economy and society,a consequence-oriented interpretation needs to be based on the idea of mutual instrumentalization of public and private laws.This entails predicting the outcomes of negating the validity of a juristic act in industrial regulatory scenarios and assessing these outcomes within the framework of public and private regulatory instruments.

Theory on Introducing a Mandatory Attorney System into Civil Litigation from the Perspective of the Protection of the Right of Action

As an important rectifying mechanism to the involved parties-oriented civil litigation model,the mandatory attorney system requires the involved parties of a lawsuit to appoint a lawyer to represent them in the litigation,otherwise they will be rejected because the litigation requirements aren’t met.This seems to restrict the litigants’right to initiate a lawsuit by themselves.Through the arrangement of the system for the participation of lawyers in some litigation procedures,stages,and cases,coupled with the legal principle of litigation costs,the litigation costs sharing mechanism,legal aid,and other related supporting systems,it is not only a substantive guarantee for the litigants’right of action,but also can even strengthen the protection of the litigants’right of action in civil litigation.Based on the need to effectively protect and strengthen the litigants’right of action,combined with its civil litigation system and judicial operation environment,China should adopt a phased and gradual strategy to introduce and implement the mandatory attorney system in civil litigation while constantly improving its lawyer system,litigation costs system,legal aid system,and other related supporting systems.

Unenumerated Rights Clauses and the System of Restriction on Fundamental Rights——Another Construction Plan for Article 51 of the Constitution of PRC

According to constitutional jurisprudence in China,Article 51 of the Constitution is an unenumerated restrictive clause.Such theoretical construction fails to justify the differentiated restrictions established in the Constitution and makes it difficult to explain the constitutional status of human dignity. Article 51 implies the possibility of other theoretical constructions. It is not an unenumerated restriction clause but an unenumerated rights clause. It aims to provide guarantees for general freedom of action not enumerated in the Constitution rather than restricting fundamental rights. The actual benefit of this kind of theoretical construction lies in that it can establish the basis of the constitutional text for general freedom of action and promote the people’s correct understanding of the model of restriction on fundamental rights established by the Constitution of PRC.

On Answering the Question Related to the Legal Regulation of Working Hours in the New Era:Western Experience and Chinese Approach

The popularity of flexible working hours around the world has slowed down the historical trend of reducing working hours.It even shows signs of regression.Whether and how to guide the cur-rent society with flexible working hours to return to the historical track of reducing working hours,improve the quality of working hours,and promote a smooth transition from the era of traditional standard work-ing hours to the era of flexible working hours has become a question related to the legal regulation of working hours in the new era.In this regard,although Western countries have proposed new regulatory concepts and carried out legislative practices with distinctive charac-teristics,the limitations of legal regulation capabilities have prevented them from proposing a package of institutional solutions.The advan-tage of China in the ability of legal regulation of working hours has been gradually formed in the legislation on working hours unnder the leadership of the CPC in the past century.It enables China to break through the limitations of the West and propose a Chinese approach to answer the question of the legal regulation of working hours in the new era from three aspects:limiting the extension of working hours,improving the quality of flexible working hours,and optimizing the funnctions of the multi-funnctional regulatory system for working hours.

An Analysis of the Legal System for the Protection of Marine Resources in China

In order to realize the orderly development and rational use of marine resources,construct a new marine economic development model,effectively adjust the relationship between marine resource protection and social production,and promote the legalization and institutionalization of marine resource protection.Based on the reality,this article attempts to explore the ways and means of improving and constructing the legal system for the protection of marine resources from multiple dimensions.It aims to form a complete marine resource development system from the legal level and provide legal guarantee for the development of marine economy.

Robustness of iterative learning control for a class offractional-order linear continuous-time switched systems in the sense of L^p norm

For a class of fractional-order linear continuous-time switched systems specified by an arbitrary switching sequence,the performance of PDα-type fractional-order iterative learning control(FOILC)is discussed in the sense of L^p norm.When the systems are disturbed by bounded external noises,robustness of the PDα-type algorithm is firstly analyzed in the iteration domain by taking advantage of the generalized Young inequality of convolution integral.Then,convergence of the algorithm is discussed for the systems without any external noise.The results demonstrate that,under some given conditions,both convergence and robustness can be guaranteed during the entire time interval.Simulations support the correctness of the theory.

Inside and Outside Perspectives on the Relation of People’s Personal Values and Their Acceptance of Legal Norms

Based on a representative survey on crime prevention,this paper studies how personal values are related to persons’acceptance of legal norms(LNA).We here take a closer look at these relations than previous research.Offenses,in particular,are classified into different offense types,and the persons’ratings are studied both as observed and as individually centered data.It is found that conservation-oriented persons give higher and less differentiated badness ratings to all offenses than persons striving for hedonism and stimulation.The correlational structure of basic personal values and norm acceptance ratings for 14 different offenses,when represented via multidimensional scaling,exhibits that conservation orientation becomes a better predictor of LNA of all offense types if it is augmented by an additional value,peace of mind.When looking at centered ratings(i.e.,controlling for each person’s mean ratings),social values become the best predictors of offenses such as tax evasion,benefits fraud,or taking bribes.Statements on the impact of personal values on general norm acceptance should,therefore,be replaced with more differentiated relations on how particular values are related to people’s attitudes towards particular offenses.

The Methods of Constructing the Legal Support System for the Returning-home Migrant Workers' Entrepreneurship——Based on the Perspective of Economic Law

Based on the overview of concept of returning-home migrant workers' entrepreneurship,the thesis has introduced the features of migrant workers' entrepreneurship,as against other types of entrepreneurship,as follows. Starting from a low base and multi-level perspective;conducting entrepreneurship in manifold industries,mainly in those labor-intensive enterprises;conspicuous mutual interaction and reversibility are embodied in the group characteristics;the strong driving force of returning-home migrant workers' entrepreneurship comes from their affection for hometown. The process of returning-home migrant workers' entrepreneurship can be divided into three stages,namely returning rush,investing rush,and entrepreneurship rush,on which we give the analysis respectively in terms of the continuous change of social mobility,transformation on the part of the main body of entrepreneurship,and the expansion of industry field concerning entrepreneurship. More over,we have discussed the methods of constructing the legal support system for the returning-home migrant workers' entrepreneurship. Firstly,it needs institutionalization,which is the basis of constructing the legal support system for the returning-home migrant workers' entrepreneurship;secondly,it needs definite guiding ideology as the premise of constructing the legal support system for the returning-home migrant workers' entrepreneurship;thirdly,it needs the precise orientation of target group as the key of constructing the legal support system for the returning-home migrant workers' entrepreneurship;finally,appropriate support methods are the pivot of constructing the legal support system for the returning-home migrant workers' entrepreneurship.

Legal Systems and Economic Development:The Case of Aruba Post-Coronavirus

This paper intends to critically review some of the challenges rooted in Aruba’s civil law legal heritage in stimulating a post-corona economic recovery which should ideally be driven towards economic diversification.It also seeks to contextualize the effect of Aruba’s civil law system on economic growth compared to other Caribbean states with similar size,population,and tourism dependency but with legal systems rooted in the common law.This paper’s methodological approach is meta-analytical and includes a critique of the labor laws as well as the substantive role of the state in driving economic performance that is a normative feature in some civil law states.It posits that Aruba’s economic responsiveness,to the coronavirus should consider legal origins as a factor that limits its capacity and capability to execute an effective restructuring of tired economic paradigms and introduce new economic models that would challenge its mono-economic status.