The accuracy of angles-only initial orbit determination(IOD)is significantly compromised when only a short-arc orbit is observed.The ill-conditioned problem in matrices due to weak geometric constraints caused by shor...The accuracy of angles-only initial orbit determination(IOD)is significantly compromised when only a short-arc orbit is observed.The ill-conditioned problem in matrices due to weak geometric constraints caused by short arcs and observation errors typically causes significant errors in the estimated ranges and thus unsatisfactory IOD.This paper presents a critical analysis of the ill-conditioned problem using the Gooding algorithm and proposes several techniques to improve it.On the basis of multiple observations,a least-squares method is proposed to solve the ranges at the first and last epochs.For the short-arc case,the ridge estimation technique is applied to mitigate the ill-conditioned problem.To determine whether an orbit is eccentric,a procedure to assess orbit eccentricity is developed via the range-search method,which aims to provide reasonably accurate initial ranges to the Gooding algorithm.Finally,an eccentricity-constraint technique for the Gooding algorithm is proposed for cases where the orbit is determined to be nearly circular.The performances of these techniques on space-based simulation data are assessed,and an improved Gooding algorithm(I-Gooding)suitable for various observation conditions is proposed.The I-Gooding algorithm is subsequently applied to process actual ground-based observations.The results show that its accuracy in estimating the semimajor axis is 47%higher than that afforded by the standard Gooding algorithm.展开更多
An initial orbit determination (IOD) solution from angles-only observations of a single short orbit arc is often required for applications such as tracklet association and fast reacquisition of a newly detected space ...An initial orbit determination (IOD) solution from angles-only observations of a single short orbit arc is often required for applications such as tracklet association and fast reacquisition of a newly detected space object. Modern optical observations can collect tens or even hundreds of data points over a short arc, thus enabling a large number of IOD solutions to be determined when using an IOD algorithm of 3 lines of sight (3-LOSs), such as the Gooding algorithm. It is necessary but difficult to find an optimal solution from a solution pool, particularly in the case of too short arc (TSA). Another issue in using 3-LOSs IOD methods is the neglect of perturbation effects on the observations. That is, 3-LOSs IOD methods are developed in the 2-body frame, but the observations are perturbed. Thus, the IOD solutions may have additional errors if the observations are not corrected for perturbation effects. In this study, we investigate the distribution of the semi-major axis and eccentricity of IOD solutions in a pool and find that choosing the solution with the maximum kernel density in the distribution is a much better way to determine the final solution from the pool. We also propose a technique to correct J2 secular effects on observed angle data. We use the Gooding algorithm as the basic 3-LOSs IOD algorithm to demonstrate the effectiveness of the proposed techniques in improving the IOD accuracy in the cases of short-arc ground-based observations and space-based simulation data.展开更多
THE BUSINESS OF EMOTION Neweekly 1 August From lucky charms promising safety to addictive blind boxes,from milk tea-fuelled social frenzies to concert tickets fetching 10 times their original price,a new wave of consu...THE BUSINESS OF EMOTION Neweekly 1 August From lucky charms promising safety to addictive blind boxes,from milk tea-fuelled social frenzies to concert tickets fetching 10 times their original price,a new wave of consumption is reshaping our daily lives.At the heart of this trend is the“emotion economy,”a rapidly expanding industry that turns feelings into marketable goods.展开更多
Beyond modern trade tensions and diplomatic milestones,Europe and China’s profound connection stems from a 3,000-year interplay of ideas,goods,and values,shaping their intertwined visions of governance,equality,and s...Beyond modern trade tensions and diplomatic milestones,Europe and China’s profound connection stems from a 3,000-year interplay of ideas,goods,and values,shaping their intertwined visions of governance,equality,and societal progress.展开更多
China has long been recognized as a major producer and exporter of sporting goods,with its share of global sporting goods exports continuing to rise steadily.The implementation of the RCEP agreement presents both oppo...China has long been recognized as a major producer and exporter of sporting goods,with its share of global sporting goods exports continuing to rise steadily.The implementation of the RCEP agreement presents both opportunities and challenges for China’s sporting goods export trade.To achieve sustained growth,enterprises must enhance their innovation capacity,improve product quality,strengthen brand influence,and refine marketing strategies.At the same time,they must proactively manage risks related to exchange rate fluctuations and rising international logistics costs.展开更多
Foreign Trade Sets New High China’s foreign trade in goods in the first quarter of 2025 grew by 1.3 percent year on year,reaching 10.3 trillion yuan($1.41 trillion),which marks a stable start to the year,as various s...Foreign Trade Sets New High China’s foreign trade in goods in the first quarter of 2025 grew by 1.3 percent year on year,reaching 10.3 trillion yuan($1.41 trillion),which marks a stable start to the year,as various support policies continue to produce effects,official data showed on 14 April.Between January and March,the country’s exports grew by 6.9 percent year on year,totalling 6.13 trillion yuan(about$850.1 billion).展开更多
This study examines the current state of vocational education in Guizhou and its role in facilitating the export of Guizhou goods beyond regional boundaries, and explores various strategies for vocational education to...This study examines the current state of vocational education in Guizhou and its role in facilitating the export of Guizhou goods beyond regional boundaries, and explores various strategies for vocational education to contribute to rural revitalization, including the optimization of professional and curriculum systems, the deepening of industry-education integration and school-enterprise cooperation, the enhancement of brand development and marketing efforts, the strengthening of cross-border e-commerce and international cooperation capabilities, and the improvement of policy support and resource allocation systems. The findings aim to provide a theoretical foundation for Guizhou vocational education to support local economic development.展开更多
Education is the cornerstone of human civilization,and it progresses hand-in-hand with the evolution of science and technology.At present,momentous changes of a like not seen in a century are accelerating across the w...Education is the cornerstone of human civilization,and it progresses hand-in-hand with the evolution of science and technology.At present,momentous changes of a like not seen in a century are accelerating across the world,and digitization has become a new engine driving world economic and social progress.Countries around the world are jointly reflecting on the essential questions of the nature of education and its future direction.The United Nations Educational,Scientific,and Cultural Organization(UNESCO)is championing the creation of a new social contract for education,emphasizing its status as a global public good.A pivotal approach to realizing this goal is to harness the transformative power of digital technology in education.Digitization of education has become an inevitable choice for countries around the world to align with the latest technological progress and industrial transformation,catalyzing a shift in educational paradigms,reshaping educational practice,and fostering innovation.展开更多
There is a wide recognition that encompassing an obligation of good faith in every commercial contract is one of the most important advances in contract law in the twentieth century^([1]).Despite the fact that this co...There is a wide recognition that encompassing an obligation of good faith in every commercial contract is one of the most important advances in contract law in the twentieth century^([1]).Despite the fact that this concept has been incorporated in the vast majority of national legal systems,its precise scope and application may vary from one to another,depending on the commercial traditions and customs of each legal system^([2]).The fact that good faith has been treated differently in different national legal systems has also been reflected on the international level through its inclusion in international legal instruments,one of which is the United Nations Convention on Contracts for the International Sale of Goods(hereafter CISG).In this article,the legislative history of the CISG will be closely examined with the purpose of finding out how a compromise was reached between the common law countries,which expressly objected to the imposition of a duty of good faith,and the civil law countries,which explicitly endorse its incorporation.A logical result flowing from this historical examination,as will be submitted,is that the conceptual ambiguity of good faith is the underlying reasoning behind their fundamentally different attitudes towards the incorporation of this notion in the international commercial context.展开更多
In order to avoid the worsening of wealth inequality,it is necessary to explore the influencing factors of wealth distribution and discuss measures to reduce wealth inequality.We investigate the wealth distribution in...In order to avoid the worsening of wealth inequality,it is necessary to explore the influencing factors of wealth distribution and discuss measures to reduce wealth inequality.We investigate the wealth distribution in the goods exchange market by using the kinetic theory of rarefied gas.The trading objects are two kinds of commodities(commodities A and B)and the trading subjects are agents of two groups(dealers and speculators).We deduce the interaction rules according to the principle of utility maximization and consider the transfer of agents in the Boltzmann equation.The steady solution of the Fokker-Planck equation for a special case is obtained and the effects of trading strategy and transfer frequency on the steady distribution are analyzed in numerical experiments.The conclusions illustrate that the transfer of agents is conducive to reducing the inequality of wealth distribution.展开更多
As new innovation ecosystems emerge around AI,standards will be essential in bringing these ecosystems to the global scale.Our recent AI for Good Global Summit 2025 showcased our progress on AI standards in areas from...As new innovation ecosystems emerge around AI,standards will be essential in bringing these ecosystems to the global scale.Our recent AI for Good Global Summit 2025 showcased our progress on AI standards in areas from networking,multimedia,energy efficiency to healthcare,food security,road safety and disaster risk reduction.展开更多
It has long been noticed that focus is able to influence the truth-conditions of coun-terfactual conditionals.Namely,stressing different parts of a counterfactual leads to distinct interpretations.However,existing the...It has long been noticed that focus is able to influence the truth-conditions of coun-terfactual conditionals.Namely,stressing different parts of a counterfactual leads to distinct interpretations.However,existing theories,such as those by von Finte1 and Rooth,fail to ad-equately account for this phenomenon.In this paper,I exposit the drawbacks of these theories and then propose a novel account,ie.the Good Question-Answer(GQA)view.The GQA account posits that focus triggers question-answer pairs,and pragmatic pressures conceming the adequacy of such question answer pairs in contexts are able to affect the truth-conditions of counterfactuals.I also argue for the GQA account by appeal to its theoretical virtues.展开更多
The governance of algorithms is a central issue in the progress on the rule of law in an intelligent society.In the field of copyright law,the allocation of infringement liability for algorithmic recommendation servic...The governance of algorithms is a central issue in the progress on the rule of law in an intelligent society.In the field of copyright law,the allocation of infringement liability for algorithmic recommendation service providers should proceed from a systemic perspective rooted in the rule of law spirit of the times.Moving beyond the principle of technological neutrality and toward the principle of digital for good,it requires exploring the key role of online platforms in preventing infringement and fostering the development of digital technologies for good.This calls for the establishment of a legal system that is conducive to the combination of law and technology to support multi-stakeholder co-governance.It is recognized that algorithmic recommendation service providers bear a higher duty of care under specific conditions than that imposed by the noticeand-takedown process.The determination of whether such providers have fulfilled their duty of care should be based on industry-specific technological advancements,taking into account multiple factors such as the infringement damages,the probability of infringement occurrence,the cost of preventing infringement,and the copyright protection measures already taken in their algorithmic recommendation systems.At the same time,mechanisms such as effective notification,an efficient appeal process,and the right to request content restoration should be established to effectively protect the users'interests.展开更多
Magnesium(Mg)and its alloys have been identified as one of the most promising structural,energy and biomaterials owing to their exceptional combination of properties.These include low density,high specific strength,go...Magnesium(Mg)and its alloys have been identified as one of the most promising structural,energy and biomaterials owing to their exceptional combination of properties.These include low density,high specific strength,good damping,high castability,high capacity of hydrogen storage。展开更多
The hilly purple soil area is a major grainproducing region in southwestern China,where noticeable land use change has occurred along with socio-economic development over recent decades.Degradation of ecosystem servic...The hilly purple soil area is a major grainproducing region in southwestern China,where noticeable land use change has occurred along with socio-economic development over recent decades.Degradation of ecosystem services(ESs)is therefore widespread.Understanding the interactions among ESs in the case of anthropogenic disturbance and environmental change is needed for sustainable land management.Here,we analyze the synergies/tradeoffs and bundles between ESs in this region between 1990-2015.By using the InVEST model,Geo-Detector method,and multi-source datasets,we investigated the socio-ecological drivers that dominate the dynamics of ESs.We found that ESs exhibit divergent temporal trends;food production shows a rising trend,habitat quality a declining trend,and water yield a highly variable response.Provisioning services,especially food production,have common and enduring trade-offs with other ESs.Mutual transformation occurred between ES bundles with water related ES bundles experiencing a weakness in synergistic effects.ESs that are predominantly driven by ecological drivers have gradually become controlled by social drivers which suggests the impacts of human activities in ESs are gradually increasing.Thus,integrated management policies such as land consolidation are needed to coordinate management.This study provides strategies based on ES bundles with different functional and management priorities.Also,integrating vertical zoning into land management to ensure sustainable agricultural production in lowland basins.展开更多
With the continuous promotion of the Belt and Road initiative,the sporting goods manufacturing industry,as a key sector of Chinese enterprises’“going global”strategy,is actively expanding the markets of countries a...With the continuous promotion of the Belt and Road initiative,the sporting goods manufacturing industry,as a key sector of Chinese enterprises’“going global”strategy,is actively expanding the markets of countries along the Belt and Road.However,there are significant differences in political,economic,and social environments among countries along the Belt and Road,which bring considerable uncertainties to the transnational investment of enterprises.Based on the investment environment of 70 countries along the Belt and Road,this paper constructs a risk evaluation index system including five dimensions:political and legal,economic and financial,socio-cultural,investment environment,and bilateral relations.The Criteria Importance Through Intercriteria Correlation(CRITIC)method is used to determine weight,Technique for Order Preference by Similarity to Ideal Solution(TOPSIS)method is employed to evaluate the investment risks of each country.Furthermore,cluster analysis is used to classify the countries into low,medium,and high-risk levels.Finally,policy recommendations are proposed based on the characteristics of countries with different risk levels,providing decision-making references for sporting goods manufacturing enterprises in selecting suitable countries for investment,enhancing risk prevention capabilities,and improving investment success rates.展开更多
基金supported by the Special Fund of the Hubei Luojia Laboratory(Grant No.230100003)the Chongqing Municipal Natural Science Foundation of the General Program(Grant No.CSTB2022NSCQ-MSX1093)the Science and Technology Research Program of the Chongqing Municipal Education Commission(Grant No.KJQN202200701)。
文摘The accuracy of angles-only initial orbit determination(IOD)is significantly compromised when only a short-arc orbit is observed.The ill-conditioned problem in matrices due to weak geometric constraints caused by short arcs and observation errors typically causes significant errors in the estimated ranges and thus unsatisfactory IOD.This paper presents a critical analysis of the ill-conditioned problem using the Gooding algorithm and proposes several techniques to improve it.On the basis of multiple observations,a least-squares method is proposed to solve the ranges at the first and last epochs.For the short-arc case,the ridge estimation technique is applied to mitigate the ill-conditioned problem.To determine whether an orbit is eccentric,a procedure to assess orbit eccentricity is developed via the range-search method,which aims to provide reasonably accurate initial ranges to the Gooding algorithm.Finally,an eccentricity-constraint technique for the Gooding algorithm is proposed for cases where the orbit is determined to be nearly circular.The performances of these techniques on space-based simulation data are assessed,and an improved Gooding algorithm(I-Gooding)suitable for various observation conditions is proposed.The I-Gooding algorithm is subsequently applied to process actual ground-based observations.The results show that its accuracy in estimating the semimajor axis is 47%higher than that afforded by the standard Gooding algorithm.
基金supported by the National Natural Science Foundation of China(grant nos.12103035 and 12373083)the Fundamental Research Funds for the Central Universities(grant no.2042023gf0007).
文摘An initial orbit determination (IOD) solution from angles-only observations of a single short orbit arc is often required for applications such as tracklet association and fast reacquisition of a newly detected space object. Modern optical observations can collect tens or even hundreds of data points over a short arc, thus enabling a large number of IOD solutions to be determined when using an IOD algorithm of 3 lines of sight (3-LOSs), such as the Gooding algorithm. It is necessary but difficult to find an optimal solution from a solution pool, particularly in the case of too short arc (TSA). Another issue in using 3-LOSs IOD methods is the neglect of perturbation effects on the observations. That is, 3-LOSs IOD methods are developed in the 2-body frame, but the observations are perturbed. Thus, the IOD solutions may have additional errors if the observations are not corrected for perturbation effects. In this study, we investigate the distribution of the semi-major axis and eccentricity of IOD solutions in a pool and find that choosing the solution with the maximum kernel density in the distribution is a much better way to determine the final solution from the pool. We also propose a technique to correct J2 secular effects on observed angle data. We use the Gooding algorithm as the basic 3-LOSs IOD algorithm to demonstrate the effectiveness of the proposed techniques in improving the IOD accuracy in the cases of short-arc ground-based observations and space-based simulation data.
文摘THE BUSINESS OF EMOTION Neweekly 1 August From lucky charms promising safety to addictive blind boxes,from milk tea-fuelled social frenzies to concert tickets fetching 10 times their original price,a new wave of consumption is reshaping our daily lives.At the heart of this trend is the“emotion economy,”a rapidly expanding industry that turns feelings into marketable goods.
文摘Beyond modern trade tensions and diplomatic milestones,Europe and China’s profound connection stems from a 3,000-year interplay of ideas,goods,and values,shaping their intertwined visions of governance,equality,and societal progress.
基金Jilin International Studies University 2025 Batch National College Students’Innovation Training Program Project,Opportunities,Challenges,and Strategies of China’s Sporting Goods Export under the Background of RCEP(Project No.:202510964038)。
文摘China has long been recognized as a major producer and exporter of sporting goods,with its share of global sporting goods exports continuing to rise steadily.The implementation of the RCEP agreement presents both opportunities and challenges for China’s sporting goods export trade.To achieve sustained growth,enterprises must enhance their innovation capacity,improve product quality,strengthen brand influence,and refine marketing strategies.At the same time,they must proactively manage risks related to exchange rate fluctuations and rising international logistics costs.
文摘Foreign Trade Sets New High China’s foreign trade in goods in the first quarter of 2025 grew by 1.3 percent year on year,reaching 10.3 trillion yuan($1.41 trillion),which marks a stable start to the year,as various support policies continue to produce effects,official data showed on 14 April.Between January and March,the country’s exports grew by 6.9 percent year on year,totalling 6.13 trillion yuan(about$850.1 billion).
基金Supported by 2024 Planning Project of the China Vocational Education Association"Research and Practice on the Route of Guizhou Vocational Education in Serving the Export of Guizhou Goods Beyond Regional Boundaries in the Context of Rural Revitalization".
文摘This study examines the current state of vocational education in Guizhou and its role in facilitating the export of Guizhou goods beyond regional boundaries, and explores various strategies for vocational education to contribute to rural revitalization, including the optimization of professional and curriculum systems, the deepening of industry-education integration and school-enterprise cooperation, the enhancement of brand development and marketing efforts, the strengthening of cross-border e-commerce and international cooperation capabilities, and the improvement of policy support and resource allocation systems. The findings aim to provide a theoretical foundation for Guizhou vocational education to support local economic development.
文摘Education is the cornerstone of human civilization,and it progresses hand-in-hand with the evolution of science and technology.At present,momentous changes of a like not seen in a century are accelerating across the world,and digitization has become a new engine driving world economic and social progress.Countries around the world are jointly reflecting on the essential questions of the nature of education and its future direction.The United Nations Educational,Scientific,and Cultural Organization(UNESCO)is championing the creation of a new social contract for education,emphasizing its status as a global public good.A pivotal approach to realizing this goal is to harness the transformative power of digital technology in education.Digitization of education has become an inevitable choice for countries around the world to align with the latest technological progress and industrial transformation,catalyzing a shift in educational paradigms,reshaping educational practice,and fostering innovation.
文摘There is a wide recognition that encompassing an obligation of good faith in every commercial contract is one of the most important advances in contract law in the twentieth century^([1]).Despite the fact that this concept has been incorporated in the vast majority of national legal systems,its precise scope and application may vary from one to another,depending on the commercial traditions and customs of each legal system^([2]).The fact that good faith has been treated differently in different national legal systems has also been reflected on the international level through its inclusion in international legal instruments,one of which is the United Nations Convention on Contracts for the International Sale of Goods(hereafter CISG).In this article,the legislative history of the CISG will be closely examined with the purpose of finding out how a compromise was reached between the common law countries,which expressly objected to the imposition of a duty of good faith,and the civil law countries,which explicitly endorse its incorporation.A logical result flowing from this historical examination,as will be submitted,is that the conceptual ambiguity of good faith is the underlying reasoning behind their fundamentally different attitudes towards the incorporation of this notion in the international commercial context.
文摘In order to avoid the worsening of wealth inequality,it is necessary to explore the influencing factors of wealth distribution and discuss measures to reduce wealth inequality.We investigate the wealth distribution in the goods exchange market by using the kinetic theory of rarefied gas.The trading objects are two kinds of commodities(commodities A and B)and the trading subjects are agents of two groups(dealers and speculators).We deduce the interaction rules according to the principle of utility maximization and consider the transfer of agents in the Boltzmann equation.The steady solution of the Fokker-Planck equation for a special case is obtained and the effects of trading strategy and transfer frequency on the steady distribution are analyzed in numerical experiments.The conclusions illustrate that the transfer of agents is conducive to reducing the inequality of wealth distribution.
文摘As new innovation ecosystems emerge around AI,standards will be essential in bringing these ecosystems to the global scale.Our recent AI for Good Global Summit 2025 showcased our progress on AI standards in areas from networking,multimedia,energy efficiency to healthcare,food security,road safety and disaster risk reduction.
基金supported by the Major Program of National Social Science Foundation of China(No.23&ZD240)。
文摘It has long been noticed that focus is able to influence the truth-conditions of coun-terfactual conditionals.Namely,stressing different parts of a counterfactual leads to distinct interpretations.However,existing theories,such as those by von Finte1 and Rooth,fail to ad-equately account for this phenomenon.In this paper,I exposit the drawbacks of these theories and then propose a novel account,ie.the Good Question-Answer(GQA)view.The GQA account posits that focus triggers question-answer pairs,and pragmatic pressures conceming the adequacy of such question answer pairs in contexts are able to affect the truth-conditions of counterfactuals.I also argue for the GQA account by appeal to its theoretical virtues.
基金phased achievement of the Major Special Project of Philosophy and Social Sciences Research"Adhering to the Construction of the Socialist Rule of Law System with Chinese Characteristics and Further Promoting the Practice of Comprehensive Law-Based Governance"(Project No.2022JZDZ002)supported by the Ministry of Education of China.
文摘The governance of algorithms is a central issue in the progress on the rule of law in an intelligent society.In the field of copyright law,the allocation of infringement liability for algorithmic recommendation service providers should proceed from a systemic perspective rooted in the rule of law spirit of the times.Moving beyond the principle of technological neutrality and toward the principle of digital for good,it requires exploring the key role of online platforms in preventing infringement and fostering the development of digital technologies for good.This calls for the establishment of a legal system that is conducive to the combination of law and technology to support multi-stakeholder co-governance.It is recognized that algorithmic recommendation service providers bear a higher duty of care under specific conditions than that imposed by the noticeand-takedown process.The determination of whether such providers have fulfilled their duty of care should be based on industry-specific technological advancements,taking into account multiple factors such as the infringement damages,the probability of infringement occurrence,the cost of preventing infringement,and the copyright protection measures already taken in their algorithmic recommendation systems.At the same time,mechanisms such as effective notification,an efficient appeal process,and the right to request content restoration should be established to effectively protect the users'interests.
文摘Magnesium(Mg)and its alloys have been identified as one of the most promising structural,energy and biomaterials owing to their exceptional combination of properties.These include low density,high specific strength,good damping,high castability,high capacity of hydrogen storage。
基金supported by the National Key Research and Development Program of China (2023YFF1305203)the National Natural Science Foundation of China (42477340)+2 种基金the Special Fund for Youth Team of Southwest University (SWUXDJH202306)the Southwest University Graduate Student Research and Innovation Program (SWUS24098)funded by the UK Research and Innovation–Biotechnology and Biological Sciences Research Council (UKRIBBSRC) via grant award BB/X010961/1 (Resilient Farming Futures) – specifically work package 2 BBS/E/RH/230004B
文摘The hilly purple soil area is a major grainproducing region in southwestern China,where noticeable land use change has occurred along with socio-economic development over recent decades.Degradation of ecosystem services(ESs)is therefore widespread.Understanding the interactions among ESs in the case of anthropogenic disturbance and environmental change is needed for sustainable land management.Here,we analyze the synergies/tradeoffs and bundles between ESs in this region between 1990-2015.By using the InVEST model,Geo-Detector method,and multi-source datasets,we investigated the socio-ecological drivers that dominate the dynamics of ESs.We found that ESs exhibit divergent temporal trends;food production shows a rising trend,habitat quality a declining trend,and water yield a highly variable response.Provisioning services,especially food production,have common and enduring trade-offs with other ESs.Mutual transformation occurred between ES bundles with water related ES bundles experiencing a weakness in synergistic effects.ESs that are predominantly driven by ecological drivers have gradually become controlled by social drivers which suggests the impacts of human activities in ESs are gradually increasing.Thus,integrated management policies such as land consolidation are needed to coordinate management.This study provides strategies based on ES bundles with different functional and management priorities.Also,integrating vertical zoning into land management to ensure sustainable agricultural production in lowland basins.
文摘With the continuous promotion of the Belt and Road initiative,the sporting goods manufacturing industry,as a key sector of Chinese enterprises’“going global”strategy,is actively expanding the markets of countries along the Belt and Road.However,there are significant differences in political,economic,and social environments among countries along the Belt and Road,which bring considerable uncertainties to the transnational investment of enterprises.Based on the investment environment of 70 countries along the Belt and Road,this paper constructs a risk evaluation index system including five dimensions:political and legal,economic and financial,socio-cultural,investment environment,and bilateral relations.The Criteria Importance Through Intercriteria Correlation(CRITIC)method is used to determine weight,Technique for Order Preference by Similarity to Ideal Solution(TOPSIS)method is employed to evaluate the investment risks of each country.Furthermore,cluster analysis is used to classify the countries into low,medium,and high-risk levels.Finally,policy recommendations are proposed based on the characteristics of countries with different risk levels,providing decision-making references for sporting goods manufacturing enterprises in selecting suitable countries for investment,enhancing risk prevention capabilities,and improving investment success rates.